From 54a52c6ed5212a715df94e226c8dda750e6219b0 Mon Sep 17 00:00:00 2001 From: Claude Date: Mon, 20 Jul 2026 23:49:43 +0000 Subject: [PATCH 1/5] Adopt TapHouse v4 (normalize style pin, distribute tidy.sh) Everything already matched TapHouse v4 (configs + tidy.sh); only the drift-check ref needed bumping off v3. Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_01MRTDgYKY38WH8Bqz17W9k1 --- .github/workflows/style.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/style.yml b/.github/workflows/style.yml index 0475fd6..11acba3 100644 --- a/.github/workflows/style.yml +++ b/.github/workflows/style.yml @@ -7,9 +7,9 @@ on: [push, pull_request] jobs: drift: - uses: tap/taphouse/.github/workflows/drift-check.yml@v3 + uses: tap/taphouse/.github/workflows/drift-check.yml@v4 with: - ref: v3 + ref: v4 clang-tidy: runs-on: ubuntu-latest From bbed6595ac4db9a5b8b3a1e1c1ee86a28cf8c954 Mon Sep 17 00:00:00 2001 From: Claude Date: Tue, 21 Jul 2026 03:38:59 +0000 Subject: [PATCH 2/5] Consume the shared FFT from DspTap; adopt the tap::mu namespace Wire MuTap onto the extracted tap::dsp real FFT and move MuTap's own code to the family namespace. FFT: - Add submodules/dsptap and link tap::dsp; delete the vendored copies (include/mutap/fft.h, third_party/{ooura,cmsis-dsp}) and the FFT unit tests (now DspTap's). include/mutap/fft.h becomes a thin shim that includes tap/dsp/fft.h and re-exports real_fft / real_fft32 / basic_real_fft into tap::mu, so the historical include path and the unqualified names keep working. The extracted wrapper is byte-identical to what lived here, and DspTap selects the per-target backend itself (CMSIS on the M55, vDSP on Apple, Ooura elsewhere), so the CMSIS/Accelerate option blocks are gone. Namespace: - Rename mutap -> tap::mu across the library, tests, tools and benches (CMake target MuTap::MuTap and the MUTAP_* build options are unchanged, so MuTap-Max keeps building against it until it is migrated separately). Verified: builds on Linux against the DspTap submodule; the FFT-consuming suites (FDAF, FD-Kalman, LPC, closed-loop, PEM-AFC, postfilter) all pass. The heavy ITU/G168 integration battery exercises the same byte-identical FFT and runs in MuTap's CI. Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_01MRTDgYKY38WH8Bqz17W9k1 --- .gitmodules | 4 + CMakeLists.txt | 90 +- bench/bench_aec.cpp | 28 +- bench/icount/icount_main.cpp | 10 +- include/mutap/fd_kalman.h | 4 +- include/mutap/fdaf.h | 4 +- include/mutap/fft.h | 305 +- include/mutap/lpc.h | 4 +- include/mutap/pem_afc.h | 6 +- include/mutap/postfilter.h | 4 +- submodules/dsptap | 1 + tests/CMakeLists.txt | 2 - tests/branchless_parity_check.cpp | 2 +- tests/support/closed_loop.h | 10 +- tests/support/echo_scenario.h | 6 +- tests/support/itu_chain.h | 30 +- tests/support/itu_signals.h | 6 +- tests/test_adaptation_control.cpp | 38 +- tests/test_aec.cpp | 13 +- tests/test_closed_loop.cpp | 8 +- tests/test_fd_kalman.cpp | 30 +- tests/test_fdaf.cpp | 38 +- tests/test_fft.cpp | 212 - tests/test_fft_backend.cpp | 112 - tests/test_float32.cpp | 22 +- tests/test_g168.cpp | 2 +- tests/test_itu_signals.cpp | 4 +- tests/test_lpc.cpp | 70 +- tests/test_pem_afc.cpp | 44 +- tests/test_postfilter.cpp | 38 +- tests/test_rir_fixtures.cpp | 4 +- .../cmsis-dsp/Include/arm_common_tables.h | 318 - .../cmsis-dsp/Include/arm_const_structs.h | 86 - .../cmsis-dsp/Include/arm_helium_utils.h | 749 - third_party/cmsis-dsp/Include/arm_math.h | 80 - .../cmsis-dsp/Include/arm_math_memory.h | 224 - .../cmsis-dsp/Include/arm_math_types.h | 729 - .../cmsis-dsp/Include/arm_mve_tables.h | 193 - .../Include/dsp/basic_math_functions.h | 864 - .../cmsis-dsp/Include/dsp/bayes_functions.h | 86 - .../Include/dsp/complex_math_functions.h | 345 - .../Include/dsp/controller_functions.h | 785 - .../Include/dsp/distance_functions.h | 386 - .../Include/dsp/fast_math_functions.h | 379 - .../Include/dsp/filtering_functions.h | 2570 - .../Include/dsp/interpolation_functions.h | 275 - .../cmsis-dsp/Include/dsp/matrix_functions.h | 871 - third_party/cmsis-dsp/Include/dsp/none.h | 576 - .../Include/dsp/quaternion_math_functions.h | 153 - .../Include/dsp/statistics_functions.h | 988 - .../cmsis-dsp/Include/dsp/support_functions.h | 539 - .../cmsis-dsp/Include/dsp/svm_defines.h | 46 - .../cmsis-dsp/Include/dsp/svm_functions.h | 280 - .../Include/dsp/transform_functions.h | 1408 - third_party/cmsis-dsp/Include/dsp/utils.h | 272 - .../cmsis-dsp/Include/dsp/window_functions.h | 812 - third_party/cmsis-dsp/LICENSE | 201 - .../PrivateInclude/arm_compiler_specific.h | 20 - .../cmsis-dsp/PrivateInclude/arm_vec_fft.h | 325 - .../Source/CommonTables/arm_common_tables.c | 45787 ---------------- .../Source/CommonTables/arm_const_structs.c | 519 - .../Source/CommonTables/arm_mve_tables.c | 6484 --- .../TransformFunctions/arm_bitreversal2.c | 148 - .../Source/TransformFunctions/arm_cfft_f32.c | 1306 - .../TransformFunctions/arm_cfft_init_f32.c | 365 - .../TransformFunctions/arm_rfft_fast_f32.c | 706 - .../arm_rfft_fast_init_f32.c | 386 - third_party/cmsis-dsp/VENDOR.md | 42 - .../cmsis-core/Include/cmsis_compiler.h | 220 - .../cmsis-dsp/cmsis-core/Include/cmsis_gcc.h | 1024 - .../Include/m-profile/cmsis_gcc_m.h | 720 - third_party/ooura/fftsg.c | 3325 -- third_party/ooura/fftsg_float.c | 62 - third_party/ooura/readme.txt | 166 - tools/capi/mutap_capi.cpp | 22 +- tools/capi/mutap_capi.h | 12 +- tools/notebook/build_afc_demo.py | 8 +- tools/notebook/build_itu_compliance.py | 6 +- tools/notebook/itu_dump.cpp | 2 +- 79 files changed, 267 insertions(+), 76754 deletions(-) create mode 100644 .gitmodules create mode 160000 submodules/dsptap delete mode 100644 tests/test_fft.cpp delete mode 100644 tests/test_fft_backend.cpp delete mode 100644 third_party/cmsis-dsp/Include/arm_common_tables.h delete mode 100644 third_party/cmsis-dsp/Include/arm_const_structs.h delete mode 100755 third_party/cmsis-dsp/Include/arm_helium_utils.h delete mode 100644 third_party/cmsis-dsp/Include/arm_math.h delete mode 100755 third_party/cmsis-dsp/Include/arm_math_memory.h delete mode 100755 third_party/cmsis-dsp/Include/arm_math_types.h delete mode 100755 third_party/cmsis-dsp/Include/arm_mve_tables.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/basic_math_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/bayes_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/complex_math_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/controller_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/distance_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/fast_math_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/filtering_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/interpolation_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/matrix_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/none.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/quaternion_math_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/statistics_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/support_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/svm_defines.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/svm_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/transform_functions.h delete mode 100755 third_party/cmsis-dsp/Include/dsp/utils.h delete mode 100644 third_party/cmsis-dsp/Include/dsp/window_functions.h delete mode 100644 third_party/cmsis-dsp/LICENSE delete mode 100644 third_party/cmsis-dsp/PrivateInclude/arm_compiler_specific.h delete mode 100755 third_party/cmsis-dsp/PrivateInclude/arm_vec_fft.h delete mode 100644 third_party/cmsis-dsp/Source/CommonTables/arm_common_tables.c delete mode 100644 third_party/cmsis-dsp/Source/CommonTables/arm_const_structs.c delete mode 100755 third_party/cmsis-dsp/Source/CommonTables/arm_mve_tables.c delete mode 100644 third_party/cmsis-dsp/Source/TransformFunctions/arm_bitreversal2.c delete mode 100755 third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_f32.c delete mode 100755 third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_init_f32.c delete mode 100644 third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_f32.c delete mode 100644 third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c delete mode 100644 third_party/cmsis-dsp/VENDOR.md delete mode 100644 third_party/cmsis-dsp/cmsis-core/Include/cmsis_compiler.h delete mode 100644 third_party/cmsis-dsp/cmsis-core/Include/cmsis_gcc.h delete mode 100644 third_party/cmsis-dsp/cmsis-core/Include/m-profile/cmsis_gcc_m.h delete mode 100644 third_party/ooura/fftsg.c delete mode 100644 third_party/ooura/fftsg_float.c delete mode 100644 third_party/ooura/readme.txt diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 0000000..5934147 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,4 @@ +[submodule "submodules/dsptap"] + path = submodules/dsptap + url = https://github.com/tap/dsptap + branch = main diff --git a/CMakeLists.txt b/CMakeLists.txt index 638cb87..a819472 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -2,16 +2,15 @@ cmake_minimum_required(VERSION 3.24) project(MuTap VERSION 0.1.0 LANGUAGES C CXX) # ------------------------------------------------------------------------------ -# Ooura FFT (vendored) — provides the extern "C" rdft/rdft_f used by -# include/mutap/fft.h. PIC so MODULE/SHARED consumers (host applications, -# Max externals) can link it. +# Shared real FFT (DspTap) — the Ooura wrapper with optional CMSIS-DSP Helium / +# Apple vDSP float32 backends, formerly vendored here (include/mutap/fft.h + +# third_party/{ooura,cmsis-dsp}). Now consumed from the tap/dsptap submodule as +# tap::dsp, which carries the same numeric contract and selects the per-target +# backend itself (CMSIS on the bare-metal M55, vDSP on Apple, Ooura elsewhere). +# Override with -DTAP_DSP_FFT_CMSIS=OFF / -DTAP_DSP_FFT_ACCELERATE=OFF. # ------------------------------------------------------------------------------ -add_library(mutap_fft STATIC third_party/ooura/fftsg.c third_party/ooura/fftsg_float.c) -add_library(MuTap::fft ALIAS mutap_fft) -set_target_properties(mutap_fft PROPERTIES - POSITION_INDEPENDENT_CODE ON - OUTPUT_NAME mutap_fft) +add_subdirectory(submodules/dsptap) # ------------------------------------------------------------------------------ # The library proper (header-only) @@ -23,80 +22,7 @@ target_include_directories(mutap INTERFACE $ $) target_compile_features(mutap INTERFACE cxx_std_20) -target_link_libraries(mutap INTERFACE mutap_fft) - -# ------------------------------------------------------------------------------ -# Helium (Cortex-M55 MVE) FFT backend. When ON, the float32 real FFT in -# include/mutap/fft.h routes through the vendored CMSIS-DSP subset -# (third_party/cmsis-dsp, Apache-2.0) instead of Ooura — measured ~3x fewer -# instructions per transform, ~43% off the whole chain on the M55 -# (docs/optimization.md). Double is untouched (always Ooura), so the -# double-precision ITU certification is unaffected; on the float32 embedded -# path CMSIS agrees with Ooura to single-precision rounding (not bit-identical). -# -# Default ON for the bare-metal M55 embedded profile (the deployment target), -# OFF everywhere else — desktop, the Max/C-ABI host builds (incl. Apple -# Silicon arm64, which is not this Generic+arm profile), and Hexagon all keep -# Ooura. Force the Ooura path on the M55 with -DMUTAP_FFT_CMSIS=OFF. -# ------------------------------------------------------------------------------ -if(CMAKE_SYSTEM_NAME STREQUAL "Generic" AND CMAKE_SYSTEM_PROCESSOR MATCHES "arm|ARM") - set(_mutap_fft_cmsis_default ON) # bare-metal M55 (cmake/arm-cortex-m55-mps3.cmake) -else() - set(_mutap_fft_cmsis_default OFF) -endif() -option(MUTAP_FFT_CMSIS "Route the float32 FFT through the vendored CMSIS-DSP Helium backend (Arm/Helium only)" ${_mutap_fft_cmsis_default}) -if(MUTAP_FFT_CMSIS) - if(NOT CMAKE_SYSTEM_PROCESSOR MATCHES "arm|ARM") - message(FATAL_ERROR - "MUTAP_FFT_CMSIS is an Arm/Helium backend; configure with the " - "cortex-m55 toolchain (cmake/arm-cortex-m55-mps3.cmake).") - endif() - file(GLOB _mutap_cmsis_src CONFIGURE_DEPENDS - ${CMAKE_CURRENT_SOURCE_DIR}/third_party/cmsis-dsp/Source/*/*.c) - target_sources(mutap_fft PRIVATE ${_mutap_cmsis_src}) - # PRIVATE for the vendored .c compiles; the same dirs are exposed on the - # INTERFACE below so consumers' fft.h can resolve "arm_math.h". - set(_mutap_cmsis_inc - ${CMAKE_CURRENT_SOURCE_DIR}/third_party/cmsis-dsp/Include - ${CMAKE_CURRENT_SOURCE_DIR}/third_party/cmsis-dsp/PrivateInclude - ${CMAKE_CURRENT_SOURCE_DIR}/third_party/cmsis-dsp/cmsis-core/Include) - target_include_directories(mutap_fft PRIVATE ${_mutap_cmsis_inc}) - target_include_directories(mutap INTERFACE - $ - $ - $) - target_compile_definitions(mutap INTERFACE MUTAP_FFT_CMSIS) - message(STATUS "MuTap: float32 FFT backend = CMSIS-DSP Helium") -endif() - -# ------------------------------------------------------------------------------ -# Apple vDSP (Accelerate) FFT backend. When ON, the float32 real FFT in -# include/mutap/fft.h routes through Apple's vDSP instead of Ooura — measured -# ~3x faster per transform than clang-autovectorized Ooura on Apple Silicon -# (docs/optimization.md), which is what the mutap.aec~ Max external runs. -# Double is untouched (always Ooura), so the double-precision ITU certification -# is unaffected; on the float32 path vDSP agrees with Ooura to single-precision -# rounding (not bit-identical). Default ON for Apple, OFF everywhere else; it is -# mutually exclusive with the CMSIS backend. Force Ooura with -# -DMUTAP_FFT_ACCELERATE=OFF. -# ------------------------------------------------------------------------------ -if(APPLE AND NOT MUTAP_FFT_CMSIS) - set(_mutap_fft_accel_default ON) -else() - set(_mutap_fft_accel_default OFF) -endif() -option(MUTAP_FFT_ACCELERATE "Route the float32 FFT through Apple's vDSP (Accelerate) backend (Apple only)" ${_mutap_fft_accel_default}) -if(MUTAP_FFT_ACCELERATE) - if(NOT APPLE) - message(FATAL_ERROR "MUTAP_FFT_ACCELERATE requires Apple's Accelerate framework (macOS).") - endif() - if(MUTAP_FFT_CMSIS) - message(FATAL_ERROR "MUTAP_FFT_ACCELERATE and MUTAP_FFT_CMSIS are mutually exclusive.") - endif() - target_compile_definitions(mutap INTERFACE MUTAP_FFT_ACCELERATE) - target_link_libraries(mutap INTERFACE "-framework Accelerate") - message(STATUS "MuTap: float32 FFT backend = Apple vDSP (Accelerate)") -endif() +target_link_libraries(mutap INTERFACE tap::dsp) # ------------------------------------------------------------------------------ # Options diff --git a/bench/bench_aec.cpp b/bench/bench_aec.cpp index 585ac87..9ef4edf 100644 --- a/bench/bench_aec.cpp +++ b/bench/bench_aec.cpp @@ -69,8 +69,8 @@ namespace { }; template - typename mutap::aec_chain::config preset_of(const geometry& g) { - return mutap::aec_chain_preset(g.block, g.partitions, g.fs); + typename tap::mu::aec_chain::config preset_of(const geometry& g) { + return tap::mu::aec_chain_preset(g.block, g.partitions, g.fs); } template @@ -82,9 +82,9 @@ namespace { template void bench_fdkf(benchmark::State& state, geometry g) { - mutap::partitioned_fdkf core(preset_of(g).canceller); - corpus c(g); - std::vector e(g.block); + tap::mu::partitioned_fdkf core(preset_of(g).canceller); + corpus c(g); + std::vector e(g.block); warm(core, c, e); size_t i = 2000; for (auto _ : state) { @@ -99,9 +99,9 @@ namespace { void bench_suppressor(benchmark::State& state, geometry g) { auto pf = preset_of(g).postfilter; pf.block_size = g.block; - mutap::residual_suppressor sup(pf); - corpus c(g); - std::vector e(g.block); + tap::mu::residual_suppressor sup(pf); + corpus c(g); + std::vector e(g.block); // mid = the corpus mic, yhat = the corpus echo estimate stand-in for (size_t i = 0; i < 2000; ++i) { sup.process_block(c.yb(i), c.xb(i), e.data()); @@ -121,9 +121,9 @@ namespace { auto sc = cfg.canceller; sc.partitions = cfg.shadow_partitions; sc.transition = cfg.shadow_transition; - mutap::partitioned_fdkf shadow(sc); - corpus c(g); - std::vector e(g.block); + tap::mu::partitioned_fdkf shadow(sc); + corpus c(g); + std::vector e(g.block); warm(shadow, c, e); size_t i = 2000; for (auto _ : state) { @@ -136,9 +136,9 @@ namespace { template void bench_chain(benchmark::State& state, geometry g) { - mutap::aec_chain chain(preset_of(g)); - corpus c(g); - std::vector e(g.block); + tap::mu::aec_chain chain(preset_of(g)); + corpus c(g); + std::vector e(g.block); warm(chain, c, e); size_t i = 2000; for (auto _ : state) { diff --git a/bench/icount/icount_main.cpp b/bench/icount/icount_main.cpp index 626fb5d..b65fe29 100644 --- a/bench/icount/icount_main.cpp +++ b/bench/icount/icount_main.cpp @@ -87,7 +87,7 @@ namespace { }; auto preset() { - return mutap::aec_chain_preset(k_geo.block, k_geo.partitions, k_geo.fs); + return tap::mu::aec_chain_preset(k_geo.block, k_geo.partitions, k_geo.fs); } // Accumulate a checksum over the timed output so nothing is dead code. @@ -105,7 +105,7 @@ namespace { double sink = 0.0; #if MUTAP_SC_LAYER == 0 - mutap::partitioned_fdkf core(preset().canceller); + tap::mu::partitioned_fdkf core(preset().canceller); for (std::size_t i = 0; i < k_warm; ++i) { core.process_block(c.xb(i), c.yb(i), e.data()); } @@ -116,7 +116,7 @@ namespace { #elif MUTAP_SC_LAYER == 1 auto pf = preset().postfilter; pf.block_size = k_geo.block; - mutap::residual_suppressor sup(pf); + tap::mu::residual_suppressor sup(pf); for (std::size_t i = 0; i < k_warm; ++i) { sup.process_block(c.yb(i), c.xb(i), e.data()); } @@ -129,7 +129,7 @@ namespace { auto sc = cfg.canceller; sc.partitions = cfg.shadow_partitions; sc.transition = cfg.shadow_transition; - mutap::partitioned_fdkf shadow(sc); + tap::mu::partitioned_fdkf shadow(sc); for (std::size_t i = 0; i < k_warm; ++i) { shadow.process_block(c.xb(i), c.yb(i), e.data()); } @@ -138,7 +138,7 @@ namespace { sink += sum_out(e); } #else - mutap::aec_chain chain(preset()); + tap::mu::aec_chain chain(preset()); for (std::size_t i = 0; i < k_warm; ++i) { chain.process_block(c.xb(i), c.yb(i), e.data()); } diff --git a/include/mutap/fd_kalman.h b/include/mutap/fd_kalman.h index 481e531..87fde9a 100644 --- a/include/mutap/fd_kalman.h +++ b/include/mutap/fd_kalman.h @@ -15,7 +15,7 @@ #include "mutap/fdaf.h" #include "mutap/fft.h" -namespace mutap { +namespace tap::mu { /// Partitioned-block frequency-domain Kalman filter (after Enzner & Vary /// 2006; Kuech, Mabande & Enzner 2014; PEM-wrapped for feedback @@ -549,4 +549,4 @@ namespace mutap { bool m_adapt = true; }; -} // namespace mutap +} // namespace tap::mu diff --git a/include/mutap/fdaf.h b/include/mutap/fdaf.h index 3c955a4..b652ddf 100644 --- a/include/mutap/fdaf.h +++ b/include/mutap/fdaf.h @@ -13,7 +13,7 @@ #include "mutap/fft.h" -namespace mutap { +namespace tap::mu { namespace detail { /// Packed-spectrum multiply-accumulate: y += a * b, in the Ooura real-FFT @@ -448,4 +448,4 @@ namespace mutap { Sample m_ee_weight = Sample(0); ///< 1 - a^n debiasing weight for m_s_ee }; -} // namespace mutap +} // namespace tap::mu diff --git a/include/mutap/fft.h b/include/mutap/fft.h index 87c7330..f072048 100644 --- a/include/mutap/fft.h +++ b/include/mutap/fft.h @@ -1,298 +1,23 @@ -/// @file fft.h -/// @brief Modern C++ wrapper around the Ooura split-radix real FFT. +/// @file +/// @brief Re-export of the shared tap::dsp real FFT into the tap::mu namespace. // SPDX-License-Identifier: MIT // Copyright 2026 MuTap contributors +// +// The real FFT (the Ooura wrapper with its CMSIS-DSP Helium / Apple vDSP float32 +// backends) used to live here as a vendored copy. It now lives in DspTap +// (tap::dsp), consumed via the submodules/dsptap submodule — one wrapper shared +// with AmbiTap and the rest of the family. This header keeps the historical +// include path (`mutap/fft.h`) and the unqualified names (`real_fft`, +// `real_fft32`, `basic_real_fft`) working inside tap::mu. #pragma once -#include -#include -#include -#include -#include -#include +#include "tap/dsp/fft.h" -// Ooura C functions. rdft comes from third_party/ooura/fftsg.c (double); -// rdft_f is the same source instantiated for float (fftsg_float.c) so both -// precisions can link into one binary. They are built into the MuTap::fft -// static library; the MuTap::MuTap INTERFACE target links it automatically. -extern "C" { -void rdft(int n, int isgn, double* a, int* ip, double* w); -void rdft_f(int n, int isgn, float* a, int* ip, float* w); -} +namespace tap::mu { -// Optional per-platform float32 FFT backends, chosen by the build. AT MOST ONE -// may be defined (they are mutually exclusive), and each applies ONLY to float -// — double always stays Ooura, the golden model, so the double-precision ITU -// certification is unaffected: -// MUTAP_FFT_CMSIS CMSIS-DSP Helium on the bare-metal Cortex-M55 -// MUTAP_FFT_ACCELERATE Apple's vDSP (Accelerate) on macOS -// Each wrapper below re-presents its backend in Ooura's EXACT numeric contract -// (same packed layout, exp(+i) sign convention, unnormalized inverse), so every -// intermediate spectrum matches the Ooura build to float epsilon and the whole -// float32 test battery stays a valid oracle. Measured vs autovectorized Ooura: -// ~3x fewer instructions on the M55, ~3x faster on Apple Silicon per transform -// (docs/optimization.md). -#if defined(MUTAP_FFT_CMSIS) && defined(MUTAP_FFT_ACCELERATE) -#error "MUTAP_FFT_CMSIS and MUTAP_FFT_ACCELERATE are mutually exclusive" -#endif -#if defined(MUTAP_FFT_CMSIS) -#include "arm_math.h" -#endif -#if defined(MUTAP_FFT_ACCELERATE) -#include -#endif -#if defined(MUTAP_FFT_CMSIS) || defined(MUTAP_FFT_ACCELERATE) -#define MUTAP_FFT_FLOAT_BACKEND 1 -#endif + using tap::dsp::basic_real_fft; + using tap::dsp::real_fft; + using tap::dsp::real_fft32; -namespace mutap { - - namespace detail { - inline void ooura_rdft(int n, int isgn, double* a, int* ip, double* w) { - rdft(n, isgn, a, ip, w); - } - inline void ooura_rdft(int n, int isgn, float* a, int* ip, float* w) { - rdft_f(n, isgn, a, ip, w); - } - -#if defined(MUTAP_FFT_CMSIS) - // Wraps CMSIS-DSP's radix-4/8 Helium real FFT to reproduce Ooura's - // exact float32 contract. CMSIS uses the engineering convention - // exp(-i2*pi/N) and a 1/N-normalized inverse; Ooura uses exp(+i2*pi/N) - // and an unnormalized inverse (caller applies 2/N). We reconcile by - // conjugating the imaginary bins on every transform and scaling the - // inverse by N/2 — both verified against Ooura to <2e-7 relative error - // at N=512 and N=2048 (the certified geometries). - class cmsis_real_fft_f32 { - public: - void init(int n) { - m_n = n; - m_scratch.assign(static_cast(n), 0.0f); - arm_rfft_fast_init_f32(&m_inst, static_cast(n)); - } - - void forward_inplace(float* a) noexcept { - arm_rfft_fast_f32(&m_inst, a, m_scratch.data(), 0); - // Copy back, conjugating imaginary bins into Ooura convention. - a[0] = m_scratch[0]; // DC (real) - a[1] = m_scratch[1]; // Nyquist (real) - for (int k = 2; k < m_n; ++k) { - a[k] = (k & 1) ? -m_scratch[k] : m_scratch[k]; - } - } - - void inverse_inplace(float* a) noexcept { - // a is an Ooura-convention packed spectrum; conjugate back to - // CMSIS convention, invert, and rescale to Ooura's unnormalized - // inverse (caller's 2/N then normalizes the round trip). - for (int k = 3; k < m_n; k += 2) { - a[k] = -a[k]; - } - arm_rfft_fast_f32(&m_inst, a, m_scratch.data(), 1); - const float s = 0.5f * static_cast(m_n); - for (int i = 0; i < m_n; ++i) { - a[i] = m_scratch[i] * s; - } - } - - private: - arm_rfft_fast_instance_f32 m_inst{}; - std::vector m_scratch; - int m_n = 0; - }; - -#endif // MUTAP_FFT_CMSIS - -#if defined(MUTAP_FFT_ACCELERATE) - // Wraps Apple's vDSP real FFT (Accelerate) to reproduce Ooura's exact - // float32 contract. vDSP works in split-complex form, in the - // engineering convention exp(-i2*pi/N), with a 2x-scaled forward; we - // deinterleave/reinterleave (ctoz/ztoc), conjugate the imaginary bins, - // and apply the measured scales — x0.5 on the forward, x0.25 on the - // inverse, which lands on Ooura's UNNORMALIZED inverse (the caller's - // 2/N then normalizes the round trip). Constants verified on Apple - // Silicon to <4e-7 relative error at N=512 and N=2048 (bench/vdsp). - class accelerate_real_fft_f32 { - public: - void init(int n) { - m_n = n; - m_log2n = static_cast(std::lround(std::log2(static_cast(n)))); - // Shared, read-only twiddle tables: copyable value semantics - // (basic_real_fft is held by value in the chain) with a single - // owner-managed lifetime, and safe to share across transforms. - m_setup = std::shared_ptr>( - vDSP_create_fftsetup(static_cast(m_log2n), kFFTRadix2), vDSP_destroy_fftsetup); - m_rp.assign(static_cast(n) / 2, 0.0f); - m_ip.assign(static_cast(n) / 2, 0.0f); - } - - void forward_inplace(float* a) noexcept { - // Index the split halves through raw pointers (pointer + int is - // warning-free; a std::vector subscript would be int->size_t). - float* const rp = m_rp.data(); - float* const ip = m_ip.data(); - DSPSplitComplex sp{rp, ip}; - vDSP_ctoz(reinterpret_cast(a), 2, &sp, 1, static_cast(m_n / 2)); - vDSP_fft_zrip(m_setup.get(), &sp, 1, static_cast(m_log2n), kFFTDirection_Forward); - a[0] = rp[0] * 0.5f; // DC (real) - a[1] = ip[0] * 0.5f; // Nyquist (real) - for (int k = 1; k < m_n / 2; ++k) { - a[2 * k] = rp[k] * 0.5f; - a[2 * k + 1] = -ip[k] * 0.5f; // conjugate into Ooura's exp(+i) - } - } - - void inverse_inplace(float* a) noexcept { - // a is an Ooura-packed spectrum: rebuild vDSP's split form (undo - // the 0.5, conjugate back to exp(-i)), invert, interleave, and - // rescale to Ooura's unnormalized inverse. - float* const rp = m_rp.data(); - float* const ip = m_ip.data(); - DSPSplitComplex sp{rp, ip}; - rp[0] = 2.0f * a[0]; - ip[0] = 2.0f * a[1]; - for (int k = 1; k < m_n / 2; ++k) { - rp[k] = 2.0f * a[2 * k]; - ip[k] = -2.0f * a[2 * k + 1]; - } - vDSP_fft_zrip(m_setup.get(), &sp, 1, static_cast(m_log2n), kFFTDirection_Inverse); - vDSP_ztoc(&sp, 1, reinterpret_cast(a), 2, static_cast(m_n / 2)); - for (int i = 0; i < m_n; ++i) { - a[i] *= 0.25f; - } - } - - private: - std::shared_ptr> m_setup; - std::vector m_rp, m_ip; - int m_n = 0; - int m_log2n = 0; - }; -#endif // MUTAP_FFT_ACCELERATE - -#if defined(MUTAP_FFT_FLOAT_BACKEND) -#if defined(MUTAP_FFT_CMSIS) - using float_fft_engine = cmsis_real_fft_f32; -#else - using float_fft_engine = accelerate_real_fft_f32; -#endif - // Empty stand-in so basic_real_fft carries no backend state. - struct fft_engine_noop { - void init(int) noexcept {} - }; - template - using float_engine_t = std::conditional_t, float_fft_engine, fft_engine_noop>; -#endif - } // namespace detail - - /// Real FFT using the Ooura split-radix algorithm, parameterized over the - /// sample type (float or double — the two Ooura instantiations). - /// - /// FFT size must be a power of 2 (>= 4), fixed at construction. Workspace - /// (bit-reversal and trig tables) is allocated once in the constructor; - /// the transforms themselves are noexcept and allocation-free, so they - /// are safe on a real-time audio thread. - /// - /// Packing after a forward transform of N real samples (N/2 + 1 bins): - /// - bin[0].real = data[0] (DC; imag is zero, not stored) - /// - bin[N/2].real = data[1] (Nyquist; imag is zero, not stored) - /// - bin[k].real = data[2k], bin[k].imag = data[2k+1] for 1 <= k < N/2 - /// - /// Sign convention: the forward transform is A[k] = sum_j a[j]*W^(jk) with - /// W = exp(+2*pi*i/N) — the imaginary parts are CONJUGATED relative to the - /// engineering-convention DFT (exp(-2*pi*i/N)). Spectral products (e.g. - /// fast convolution, FDAF regressor accumulation) are unaffected as long - /// as every operand uses this class; conjugate if importing spectra - /// computed elsewhere. - /// - /// The raw inverse is unnormalized: inverse_inplace() must be followed by - /// a 2/N scaling for a round trip, which inverse() applies for you. - template - class basic_real_fft { - static_assert(std::is_same_v || std::is_same_v, - "basic_real_fft supports the two Ooura instantiations: float and double"); - - public: - explicit basic_real_fft(size_t size) - : m_size(static_cast(size)) { - assert(size >= 4 && (size & (size - 1)) == 0); -#if defined(MUTAP_FFT_FLOAT_BACKEND) - if constexpr (std::is_same_v) { - m_engine.init(m_size); // Ooura workspace stays unallocated - return; - } -#endif - m_ip.assign(2 + static_cast(std::sqrt(static_cast(size) / 2.0)) + 1, 0); - m_w.assign(size / 2, Sample(0)); - m_ip[0] = 0; // triggers Ooura table init on first call - } - - size_t size() const noexcept { return static_cast(m_size); } - size_t num_bins() const noexcept { return static_cast(m_size / 2 + 1); } - - /// In-place forward FFT: time-domain Sample[size] -> packed spectrum Sample[size]. - void forward_inplace(Sample* data) noexcept { -#if defined(MUTAP_FFT_FLOAT_BACKEND) - if constexpr (std::is_same_v) { - m_engine.forward_inplace(data); - return; - } -#endif - detail::ooura_rdft(m_size, 1, data, m_ip.data(), m_w.data()); - } - - /// In-place inverse FFT: packed spectrum Sample[size] -> time-domain Sample[size], - /// UNSCALED — multiply by 2/size for a normalized round trip. - void inverse_inplace(Sample* data) noexcept { -#if defined(MUTAP_FFT_FLOAT_BACKEND) - if constexpr (std::is_same_v) { - m_engine.inverse_inplace(data); - return; - } -#endif - detail::ooura_rdft(m_size, -1, data, m_ip.data(), m_w.data()); - } - - /// Out-of-place forward FFT. Output may alias input. - void forward(const Sample* input, Sample* output) noexcept { - copy(input, output); - forward_inplace(output); - } - - /// Out-of-place inverse FFT, scaled by 2/size so forward() -> inverse() - /// reproduces the input. Output may alias input. - void inverse(const Sample* input, Sample* output) noexcept { - copy(input, output); - inverse_inplace(output); - const Sample scale = Sample(2) / static_cast(m_size); - for (int i = 0; i < m_size; ++i) { - output[i] *= scale; - } - } - - private: - void copy(const Sample* input, Sample* output) noexcept { - if (input != output) { - for (int i = 0; i < m_size; ++i) { - output[i] = input[i]; - } - } - } - - int m_size; - std::vector m_ip; - std::vector m_w; -#if defined(MUTAP_FFT_FLOAT_BACKEND) - detail::float_engine_t m_engine; -#endif - }; - - /// Double-precision real FFT — the desktop/golden-model profile. - using real_fft = basic_real_fft; - - /// Single-precision real FFT — the embedded real-time profile (Cortex-M55, - /// Hexagon HVX), where hardware floating point is single-precision only. - using real_fft32 = basic_real_fft; - -} // namespace mutap +} // namespace tap::mu diff --git a/include/mutap/lpc.h b/include/mutap/lpc.h index 580ed46..b46db9c 100644 --- a/include/mutap/lpc.h +++ b/include/mutap/lpc.h @@ -38,7 +38,7 @@ #include #include -namespace mutap { +namespace tap::mu { /// r[k] = sum_n x[n] x[n-k] for k = 0..max_lag (biased estimate; the /// common scale cancels inside Levinson-Durbin). @@ -452,4 +452,4 @@ namespace mutap { Sample m_beta = Sample(0); }; -} // namespace mutap +} // namespace tap::mu diff --git a/include/mutap/pem_afc.h b/include/mutap/pem_afc.h index cf517e2..aca3e12 100644 --- a/include/mutap/pem_afc.h +++ b/include/mutap/pem_afc.h @@ -15,7 +15,7 @@ #include "mutap/fft.h" #include "mutap/lpc.h" -namespace mutap { +namespace tap::mu { /// Acoustic feedback canceller with PEM decorrelation (the FDAF-PEM-AFROW /// structure; Gil-Cacho et al. 2014, Rombouts et al. 2007). @@ -44,7 +44,7 @@ namespace mutap { /// The adaptive core is pluggable too: any type with partitioned_fdaf's /// interface surface (config with block_size/partitions, process_block, /// partition_spectrum, ...). Default is the NLMS core; pass - /// mutap::partitioned_fdkf for the frequency-domain Kalman + /// tap::mu::partitioned_fdkf for the frequency-domain Kalman /// update (fd_kalman.h) — the FDAF-PEM-AFROW structure is identical, /// only the update rule changes. The config field keeps the name `fdaf` /// across cores. @@ -213,4 +213,4 @@ namespace mutap { size_t m_head = 0; }; -} // namespace mutap +} // namespace tap::mu diff --git a/include/mutap/postfilter.h b/include/mutap/postfilter.h index fdaee52..8c24be6 100644 --- a/include/mutap/postfilter.h +++ b/include/mutap/postfilter.h @@ -41,7 +41,7 @@ #endif #endif -namespace mutap { +namespace tap::mu { /// Residual-echo suppressor with matched comfort noise /// (docs/itu-compliance.md, Stage 2). @@ -1159,4 +1159,4 @@ namespace mutap { return cfg; } -} // namespace mutap +} // namespace tap::mu diff --git a/submodules/dsptap b/submodules/dsptap new file mode 160000 index 0000000..48f2629 --- /dev/null +++ b/submodules/dsptap @@ -0,0 +1 @@ +Subproject commit 48f262997e1830bb247e2ec5bedac39524b5fa3c diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt index ccb0831..bf1bd17 100644 --- a/tests/CMakeLists.txt +++ b/tests/CMakeLists.txt @@ -29,8 +29,6 @@ set(INSTALL_GTEST OFF CACHE BOOL "" FORCE) FetchContent_MakeAvailable(googletest) add_executable(mutap_tests - test_fft.cpp - test_fft_backend.cpp test_fdaf.cpp test_fd_kalman.cpp test_lpc.cpp diff --git a/tests/branchless_parity_check.cpp b/tests/branchless_parity_check.cpp index 8cd3b98..a9e35c3 100644 --- a/tests/branchless_parity_check.cpp +++ b/tests/branchless_parity_check.cpp @@ -19,7 +19,7 @@ #include "mutap/postfilter.h" int main() { - auto chain = mutap::aec_chain(mutap::aec_chain_preset(256, 8, 48000.0)); + auto chain = tap::mu::aec_chain(tap::mu::aec_chain_preset(256, 8, 48000.0)); constexpr int B = 256; std::vector x(B), y(B), o(B); diff --git a/tests/support/closed_loop.h b/tests/support/closed_loop.h index 6a42480..d46a6d8 100644 --- a/tests/support/closed_loop.h +++ b/tests/support/closed_loop.h @@ -58,7 +58,7 @@ namespace mutap_test { /// Advance the loop by one block of near-end input v. `canceller` is /// any type with process_block(u, y, e) over block_size samples - /// (mutap::partitioned_fdaf, mutap::pem_afc, ...) and may be null + /// (tap::mu::partitioned_fdaf, tap::mu::pem_afc, ...) and may be null /// (open loop). Returns the RMS of the error/output block e (+inf if /// the loop has produced non-finite samples). template @@ -289,7 +289,7 @@ namespace mutap_test { template bool loop_howls(closed_loop_sim& sim, std::nullptr_t, const std::vector& v, double howl_rms = 100.0) { - return loop_howls(sim, static_cast*>(nullptr), v, howl_rms); + return loop_howls(sim, static_cast*>(nullptr), v, howl_rms); } /// MSG upper bound from the loop-magnitude condition: the broadband gain @@ -299,7 +299,7 @@ namespace mutap_test { template double theoretical_msg_db(const std::vector& feedback_path) { constexpr size_t k_fft = 8192; - mutap::real_fft fft(k_fft); + tap::mu::real_fft fft(k_fft); std::vector buf(k_fft, 0.0); for (size_t i = 0; i < feedback_path.size(); ++i) { buf[i] = static_cast(feedback_path[i]); @@ -352,8 +352,8 @@ namespace mutap_test { template double measured_msg_db(const typename closed_loop_sim::config& loop_cfg, std::nullptr_t, const std::vector& v, double lo_db, double hi_db, double tol_db = 0.5) { - return measured_msg_db(loop_cfg, static_cast*>(nullptr), v, lo_db, hi_db, - tol_db); + return measured_msg_db(loop_cfg, static_cast*>(nullptr), v, lo_db, + hi_db, tol_db); } } // namespace mutap_test diff --git a/tests/support/echo_scenario.h b/tests/support/echo_scenario.h index 0c3ae50..b0c1976 100644 --- a/tests/support/echo_scenario.h +++ b/tests/support/echo_scenario.h @@ -77,7 +77,7 @@ namespace mutap_test { /// Advance the scenario by one block: x is the far-end reference, /// v the near-end source (nullptr = silent, far-end single talk). /// `canceller` is any type with process_block(x, y, e) over - /// block_size samples (mutap::partitioned_fdaf, mutap::pem_afc, ...) + /// block_size samples (tap::mu::partitioned_fdaf, tap::mu::pem_afc, ...) /// and may be null (e = y, the uncancelled mic). template block_energies step(const Sample* x, const Sample* v, Canceller* canceller) { @@ -125,7 +125,7 @@ namespace mutap_test { /// Open-loop overload: a literal `nullptr` cannot deduce Canceller. block_energies step(const Sample* x, const Sample* v, std::nullptr_t) { - return step(x, v, static_cast*>(nullptr)); + return step(x, v, static_cast*>(nullptr)); } const std::vector& error_block() const { return m_e; } @@ -203,7 +203,7 @@ namespace mutap_test { aec_run_result run_aec(echo_sim& sim, const std::vector& x, const std::vector>* v, std::nullptr_t, size_t measure_from_block = 0) { - return run_aec(sim, x, v, static_cast*>(nullptr), measure_from_block); + return run_aec(sim, x, v, static_cast*>(nullptr), measure_from_block); } } // namespace mutap_test diff --git a/tests/support/itu_chain.h b/tests/support/itu_chain.h index 20ba35a..32ce7e9 100644 --- a/tests/support/itu_chain.h +++ b/tests/support/itu_chain.h @@ -4,7 +4,7 @@ // ITU compliance suite (docs/itu-compliance.md). Every row-test builds on // this header so the whole suite measures ONE configuration: // -// mutap::aec_chain — raw partitioned FD-Kalman canceller +// tap::mu::aec_chain — raw partitioned FD-Kalman canceller // (transition 0.9998, initial uncertainty 10; the measured AEC sweet // spot, see test_postfilter.cpp) + residual suppressor at defaults. // @@ -34,7 +34,7 @@ namespace mutap_test::itu { - using compliance_chain = mutap::aec_chain; + using compliance_chain = tap::mu::aec_chain; // ------------------------------------------------------------ precision // @@ -68,9 +68,9 @@ namespace mutap_test::itu { /// bit-identical); boundary-quantizes for float32. template struct compliance_dut { - mutap::aec_chain chain; - std::vector xb, yb, eb; - explicit compliance_dut(const typename mutap::aec_chain::config& cfg, size_t block) + tap::mu::aec_chain chain; + std::vector xb, yb, eb; + explicit compliance_dut(const typename tap::mu::aec_chain::config& cfg, size_t block) : chain(cfg) , xb(std::is_same_v ? size_t{0} : block) , yb(std::is_same_v ? size_t{0} : block) @@ -98,9 +98,9 @@ namespace mutap_test::itu { /// suppressor). Exposes the core so rows can read canceller state. template struct raw_canceller_dut { - mutap::partitioned_fdkf core; - std::vector xb, yb, eb; - explicit raw_canceller_dut(const typename mutap::partitioned_fdkf::config& c) + tap::mu::partitioned_fdkf core; + std::vector xb, yb, eb; + explicit raw_canceller_dut(const typename tap::mu::partitioned_fdkf::config& c) : core(c) , xb(std::is_same_v ? size_t{0} : c.block_size) , yb(std::is_same_v ? size_t{0} : c.block_size) @@ -150,7 +150,7 @@ namespace mutap_test::itu { } /// The pinned compliance configuration IS the library preset - /// (mutap::aec_chain_preset — Stage 5 moved the scaling rule there; + /// (tap::mu::aec_chain_preset — Stage 5 moved the scaling rule there; /// its header documents every constant and the two deliberate /// exceptions). The suite measures what the preset returns for /// block 256 at 48 and 16 kHz, so any preset change lands here as a @@ -158,8 +158,8 @@ namespace mutap_test::itu { /// rationale (why transition is NOT rescaled, why floor_bias is /// calibrated per geometry) lives with the preset. template - inline typename mutap::aec_chain::config chain_config(const rate_setup& rs) { - return mutap::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs); + inline typename tap::mu::aec_chain::config chain_config(const rate_setup& rs) { + return tap::mu::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs); } /// Per-rate expectation with a precision axis. The double column holds @@ -310,10 +310,10 @@ namespace mutap_test::itu { /// Welch PSD in dB (Hann, 50% overlap, n power of two), bins 0..n/2. inline std::vector welch_psd_db(const std::vector& x, size_t n) { - mutap::basic_real_fft fft(n); - std::vector psd(n / 2 + 1, 0.0); - std::vector buf(n); - std::vector win(n); + tap::mu::basic_real_fft fft(n); + std::vector psd(n / 2 + 1, 0.0); + std::vector buf(n); + std::vector win(n); for (size_t i = 0; i < n; ++i) { win[i] = 0.5 - 0.5 * std::cos(2.0 * std::numbers::pi * static_cast(i) / static_cast(n - 1)); } diff --git a/tests/support/itu_signals.h b/tests/support/itu_signals.h index 33b3a8a..5f232b7 100644 --- a/tests/support/itu_signals.h +++ b/tests/support/itu_signals.h @@ -129,7 +129,7 @@ namespace mutap_test::itu { }; // Zero-phase magnitude sampling, then a real IFFT and circular // shift to make it causal linear-phase. - mutap::real_fft fft(fft_size); + tap::mu::real_fft fft(fft_size); std::vector spec(fft_size, 0.0); const double df = fs / static_cast(fft_size); spec[0] = std::pow(10.0, gain_at(1e-3) / 20.0); @@ -282,7 +282,7 @@ namespace mutap_test::itu { std::mt19937 gen(cfg.seed); if (st) { constexpr size_t n_fft = 8192; - mutap::real_fft fft(n_fft); + tap::mu::real_fft fft(n_fft); std::vector spec(n_fft, 0.0); std::bernoulli_distribution bit(0.5); spec[0] = 0.0; @@ -457,7 +457,7 @@ namespace mutap_test::itu { while (n_fft < x.size()) { n_fft *= 2; } - mutap::real_fft fft(n_fft); + tap::mu::real_fft fft(n_fft); std::vector buf(n_fft, 0.0); // Hann window: the components are not FFT-periodic, and the comb // separation the double-talk analysis needs lives or dies on diff --git a/tests/test_adaptation_control.cpp b/tests/test_adaptation_control.cpp index 0d0cb0c..ebc652b 100644 --- a/tests/test_adaptation_control.cpp +++ b/tests/test_adaptation_control.cpp @@ -87,10 +87,10 @@ namespace { TEST(AdaptationControl, IpcTracksEchoVsDoubleTalk) { const auto path = random_decaying_rir(k_taps, 5); - mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto u = mutap_test::white_near_end(480 * k_block, 1); const auto d = echo_of(u, path); @@ -148,12 +148,12 @@ namespace { double ipc_naive = 0.0; int n = 0; { - mutap::partitioned_fdaf::config fc; + tap::mu::partitioned_fdaf::config fc; fc.block_size = k_block; fc.partitions = k_taps / k_block; fc.relative_regularization = 0.0; // M1-era naive, as in the M2 baseline - mutap::partitioned_fdaf naive(fc); - closed_loop_sim sim(lc); + tap::mu::partitioned_fdaf naive(fc); + closed_loop_sim sim(lc); for (size_t blk = 0; blk < 600; ++blk) { sim.step(&v[blk * k_block], &naive); if (blk >= 100) { @@ -167,11 +167,11 @@ namespace { double ipc_pem = 0.0; n = 0; { - mutap::pem_afc::config pc; + tap::mu::pem_afc::config pc; pc.fdaf.block_size = k_block; pc.fdaf.partitions = k_taps / k_block; - mutap::pem_afc pem(pc); - closed_loop_sim sim(lc); + tap::mu::pem_afc pem(pc); + closed_loop_sim sim(lc); for (size_t blk = 0; blk < 600; ++blk) { sim.step(&v[blk * k_block], &pem); if (blk >= 100) { @@ -208,16 +208,16 @@ namespace { lc.forward_gain_db = open_msg - 6.0; auto run = [&](bool gated) { - typename mutap::pem_afc::config pc; + typename tap::mu::pem_afc::config pc; pc.fdaf.block_size = k_block; pc.fdaf.partitions = k_taps / k_block; if (gated) { pc.fdaf.ipc_step_scaling = true; pc.fdaf.transient_freeze_ratio = TypeParam(4); } - mutap::pem_afc pem(pc); - closed_loop_sim sim(lc); - const auto v = mutap_test::tonal_near_end(1700 * k_block, 2); + tap::mu::pem_afc pem(pc); + closed_loop_sim sim(lc); + const auto v = mutap_test::tonal_near_end(1700 * k_block, 2); double worst_rms = 0.0; double before = 0.0; @@ -257,11 +257,11 @@ namespace { TEST(AdaptationControl, TransientGateHoldsSpikedBlocks) { const auto path = random_decaying_rir(k_taps, 5); - mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; cfg.transient_freeze_ratio = 4.0; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto u = mutap_test::white_near_end(120 * k_block, 1); const auto d = echo_of(u, path); @@ -300,11 +300,11 @@ namespace { // with the threshold off, the same data lets the filter drift. TEST(AdaptationControl, FreezeThresholdHoldsFilter) { auto tap_energy = [&](double threshold) { - mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; cfg.ipc_freeze_threshold = threshold; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto u = mutap_test::white_near_end(100 * k_block, 1); const auto d = mutap_test::white_near_end(100 * k_block, 2); // independent: no echo @@ -331,12 +331,12 @@ namespace { const auto path = random_decaying_rir(k_taps, 5); auto identify = [&](double scale, double relative, double absolute) { - mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; cfg.relative_regularization = relative; cfg.regularization = absolute; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); auto u = mutap_test::white_near_end(300 * k_block, 1); for (auto& x : u) { @@ -362,7 +362,7 @@ namespace { } TEST(AdaptationControlConfigValidation, RejectsBadConfigs) { - using fdaf = mutap::partitioned_fdaf; + using fdaf = tap::mu::partitioned_fdaf; fdaf::config cfg; cfg.relative_regularization = -1.0F; diff --git a/tests/test_aec.cpp b/tests/test_aec.cpp index 38182a1..a09fdbb 100644 --- a/tests/test_aec.cpp +++ b/tests/test_aec.cpp @@ -103,11 +103,11 @@ namespace { return out; } - using naive_t = mutap::partitioned_fdaf; - using pem_t = mutap::pem_afc; - using kalman_t = mutap::pem_afc, mutap::partitioned_fdkf>; + using naive_t = tap::mu::partitioned_fdaf; + using pem_t = tap::mu::pem_afc; + using kalman_t = tap::mu::pem_afc, tap::mu::partitioned_fdkf>; using warped_kalman_t = - mutap::pem_afc, mutap::partitioned_fdkf>; + tap::mu::pem_afc, tap::mu::partitioned_fdkf>; template typename Core::config core_config() { @@ -193,7 +193,7 @@ namespace { scfg.block_size = k_block; echo_sim sim(scfg); - auto afc = make_pem>(); + auto afc = make_pem>(); const auto x = mutap_test::white_near_end(1500 * k_block, 2); const auto r = run_aec(sim, x, nullptr, &afc, 1100); @@ -210,7 +210,8 @@ namespace { scfg.block_size = k_block; echo_sim sim(scfg); - using afc_t = mutap::pem_afc, mutap::partitioned_fdkf>; + using afc_t = + tap::mu::pem_afc, tap::mu::partitioned_fdkf>; auto afc = make_pem(); const auto x = mutap_test::white_near_end(1500 * k_block, 2); const auto r = run_aec(sim, x, nullptr, &afc, 1100); diff --git a/tests/test_closed_loop.cpp b/tests/test_closed_loop.cpp index 3f6ae1b..879a868 100644 --- a/tests/test_closed_loop.cpp +++ b/tests/test_closed_loop.cpp @@ -77,9 +77,9 @@ namespace { // Converge a fresh naive FDAF inside the closed loop at a safe gain and // return it (plus the achieved misalignment) for stability probing. template - mutap::partitioned_fdaf converge_naive_canceller(const std::vector& path, double gain_db, - const std::vector& v, double* misalignment) { - typename mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf converge_naive_canceller(const std::vector& path, double gain_db, + const std::vector& v, double* misalignment) { + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; // Pin the M1-era fixed-epsilon normalizer: this baseline documents @@ -89,7 +89,7 @@ namespace { // destabilizing, but enough to make the howl-below-MSG assertion // precision-dependent. cfg.relative_regularization = Sample(0); - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); closed_loop_sim sim(loop_config(path, gain_db)); for (size_t blk = 0; blk < v.size() / k_block; ++blk) { diff --git a/tests/test_fd_kalman.cpp b/tests/test_fd_kalman.cpp index 1b22158..5756b91 100644 --- a/tests/test_fd_kalman.cpp +++ b/tests/test_fd_kalman.cpp @@ -99,8 +99,8 @@ namespace { } template - typename mutap::partitioned_fdkf::config kalman_config() { - typename mutap::partitioned_fdkf::config cfg; + typename tap::mu::partitioned_fdkf::config kalman_config() { + typename tap::mu::partitioned_fdkf::config cfg; cfg.block_size = k_block; cfg.partitions = k_taps / k_block; return cfg; @@ -117,10 +117,10 @@ namespace { } template - using kalman_pem = mutap::pem_afc, mutap::partitioned_fdkf>; + using kalman_pem = tap::mu::pem_afc, tap::mu::partitioned_fdkf>; template using kalman_pem_warped = - mutap::pem_afc, mutap::partitioned_fdkf>; + tap::mu::pem_afc, tap::mu::partitioned_fdkf>; template typename kalman_pem::config kalman_pem_config() { @@ -147,10 +147,10 @@ namespace { const auto input = white_noise(blocks * k_block, 2); const auto d = convolve(input, truth); - mutap::partitioned_fdkf kalman(kalman_config()); - std::vector error(k_block); - std::vector ir(kalman.filter_length()); - double early = 0.0; + tap::mu::partitioned_fdkf kalman(kalman_config()); + std::vector error(k_block); + std::vector ir(kalman.filter_length()); + double early = 0.0; for (size_t blk = 0; blk < blocks; ++blk) { kalman.process_block(&input[blk * k_block], &d[blk * k_block], error.data()); if (blk == 50) { @@ -177,11 +177,11 @@ namespace { d[i] += noise[i]; // 0 dB SNR vs the unit-energy echo path } - mutap::partitioned_fdaf::config nc; + tap::mu::partitioned_fdaf::config nc; nc.block_size = k_block; nc.partitions = k_taps / k_block; - mutap::partitioned_fdaf nlms(nc); - mutap::partitioned_fdkf kalman(kalman_config()); + tap::mu::partitioned_fdaf nlms(nc); + tap::mu::partitioned_fdkf kalman(kalman_config()); std::vector error(k_block); for (size_t blk = 0; blk < blocks; ++blk) { @@ -219,8 +219,8 @@ namespace { d[i] = ((i < swap * k_block) ? d_a[i] : d_b[i]) + 0.1 * noise[i]; // 20 dB SNR } - mutap::partitioned_fdkf kalman(kalman_config()); - std::vector error(k_block); + tap::mu::partitioned_fdkf kalman(kalman_config()); + std::vector error(k_block); for (size_t blk = 0; blk < blocks; ++blk) { kalman.process_block(&input[blk * k_block], &d[blk * k_block], error.data()); } @@ -365,7 +365,7 @@ namespace { } TEST(FdKalmanConfigValidation, RejectsBadConfigs) { - using kf = mutap::partitioned_fdkf; + using kf = tap::mu::partitioned_fdkf; kf::config cfg = kalman_config(); cfg.block_size = 100; // not a power of 2 @@ -397,7 +397,7 @@ namespace { } TEST(FdKalmanRtContract, PostConstructionEntryPointsAreNoexcept) { - using kf = mutap::partitioned_fdkf; + using kf = tap::mu::partitioned_fdkf; static_assert(noexcept(std::declval().process_block(nullptr, nullptr, nullptr))); static_assert(noexcept(std::declval().copy_impulse_response(nullptr))); static_assert(noexcept(std::declval().reset())); diff --git a/tests/test_fdaf.cpp b/tests/test_fdaf.cpp index 3fe6359..482cf55 100644 --- a/tests/test_fdaf.cpp +++ b/tests/test_fdaf.cpp @@ -84,7 +84,7 @@ namespace { // Drive an identification run: desired = truth * input, block by block. template - id_result run_identification(mutap::partitioned_fdaf& fdaf, const std::vector& input, + id_result run_identification(tap::mu::partitioned_fdaf& fdaf, const std::vector& input, const std::vector& truth) { const size_t b = fdaf.block_size(); const size_t blocks = input.size() / b; @@ -124,10 +124,10 @@ namespace { // Noiseless white-noise identification: misalignment must fall fast and // deep — this is the best-conditioned case the FDAF ever sees. TYPED_TEST(fdaf_test, WhiteNoiseIdentificationConverges) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 4; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto truth = random_decaying_fir(fdaf.filter_length(), 11); const auto input = white_noise(400 * fdaf.block_size(), 22); @@ -141,10 +141,10 @@ namespace { // Colored input (deep one-pole lowpass): per-bin normalization is what // keeps the frequency-domain NLMS converging here. TYPED_TEST(fdaf_test, ColoredNoiseIdentificationConverges) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 4; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); auto input = white_noise(1200 * fdaf.block_size(), 33); for (size_t i = 1; i < input.size(); ++i) { @@ -159,10 +159,10 @@ namespace { // A pure delay-and-scale path: the recovered impulse response must have // the tap where the delay is and (near) nothing anywhere else. TYPED_TEST(fdaf_test, DelayedImpulsePathIsRecovered) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 4; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); std::vector truth(fdaf.filter_length(), TypeParam(0)); truth[100] = TypeParam(0.8); @@ -187,11 +187,11 @@ namespace { // 400 blocks where the constrained variant is below -100 dB; it does keep // improving with more data (~-34 dB at 3000 blocks). It must converge. TYPED_TEST(fdaf_test, UnconstrainedVariantConverges) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 4; cfg.constrained = false; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto truth = random_decaying_fir(fdaf.filter_length(), 66); const auto input = white_noise(400 * fdaf.block_size(), 77); @@ -202,10 +202,10 @@ namespace { } TYPED_TEST(fdaf_test, FrozenFilterDoesNotAdapt) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 2; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto truth = random_decaying_fir(fdaf.filter_length(), 88); const auto input = white_noise(60 * fdaf.block_size(), 99); @@ -230,10 +230,10 @@ namespace { } TYPED_TEST(fdaf_test, ResetRestoresInitialState) { - typename mutap::partitioned_fdaf::config cfg; + typename tap::mu::partitioned_fdaf::config cfg; cfg.block_size = 64; cfg.partitions = 2; - mutap::partitioned_fdaf fdaf(cfg); + tap::mu::partitioned_fdaf fdaf(cfg); const auto truth = random_decaying_fir(fdaf.filter_length(), 13); const auto input = white_noise(40 * fdaf.block_size(), 14); @@ -251,15 +251,15 @@ namespace { // adaptive blocks — the whole one-core/three-targets strategy rests on // these two staying this close. TEST(FdafCrossPrecision, FloatTracksDouble) { - mutap::partitioned_fdaf::config cfg64; + tap::mu::partitioned_fdaf::config cfg64; cfg64.block_size = 64; cfg64.partitions = 4; - mutap::partitioned_fdaf::config cfg32; + tap::mu::partitioned_fdaf::config cfg32; cfg32.block_size = 64; cfg32.partitions = 4; - mutap::partitioned_fdaf fdaf64(cfg64); - mutap::partitioned_fdaf fdaf32(cfg32); + tap::mu::partitioned_fdaf fdaf64(cfg64); + tap::mu::partitioned_fdaf fdaf32(cfg32); const auto truth64 = random_decaying_fir(fdaf64.filter_length(), 17); const auto input64 = white_noise(300 * fdaf64.block_size(), 18); @@ -295,7 +295,7 @@ namespace { } TEST(FdafConfigValidation, RejectsBadConfigs) { - using fdaf = mutap::partitioned_fdaf; + using fdaf = tap::mu::partitioned_fdaf; fdaf::config cfg; cfg.block_size = 100; // not a power of 2 @@ -325,7 +325,7 @@ namespace { // The real-time contract is part of the API: everything after // construction is noexcept. TEST(FdafRtContract, PostConstructionEntryPointsAreNoexcept) { - using fdaf = mutap::partitioned_fdaf; + using fdaf = tap::mu::partitioned_fdaf; static_assert(noexcept(std::declval().process_block(nullptr, nullptr, nullptr, nullptr))); static_assert(noexcept(std::declval().copy_impulse_response(nullptr))); static_assert(noexcept(std::declval().reset())); diff --git a/tests/test_fft.cpp b/tests/test_fft.cpp deleted file mode 100644 index b47152b..0000000 --- a/tests/test_fft.cpp +++ /dev/null @@ -1,212 +0,0 @@ -// SPDX-License-Identifier: MIT -// Copyright 2026 MuTap contributors -// -// Locks down the mutap::basic_real_fft contract: round-trip identity, the -// packed-spectrum layout (DC / Nyquist in slots 0 and 1), the documented -// W = exp(+2*pi*i/N) sign convention, Parseval energy conservation, and -// float/double cross-precision agreement. FDAF correctness later depends on -// every one of these staying exactly as documented in fft.h. - -#include -#include -#include -#include - -#include - -#include "mutap/fft.h" - -namespace { - - template - std::vector random_signal(size_t n, unsigned seed) { - std::mt19937 gen(seed); - std::uniform_real_distribution dist(-1.0, 1.0); - std::vector x(n); - for (auto& v : x) { - v = static_cast(dist(gen)); - } - return x; - } - - template - constexpr double k_tolerance = 0.0; - template <> - constexpr double k_tolerance = 1e-12; - template <> - constexpr double k_tolerance = 2e-5; - - template - class real_fft_test : public ::testing::Test {}; - - using sample_types = ::testing::Types; - TYPED_TEST_SUITE(real_fft_test, sample_types); - - TYPED_TEST(real_fft_test, SizeAndBinCount) { - mutap::basic_real_fft fft(1024); - EXPECT_EQ(fft.size(), 1024u); - EXPECT_EQ(fft.num_bins(), 513u); - } - - TYPED_TEST(real_fft_test, RoundTripReproducesInput) { - constexpr size_t n = 1024; - - mutap::basic_real_fft fft(n); - const auto x = random_signal(n, 42); - - std::vector spectrum(n); - std::vector back(n); - fft.forward(x.data(), spectrum.data()); - fft.inverse(spectrum.data(), back.data()); - - for (size_t i = 0; i < n; ++i) { - EXPECT_NEAR(back[i], x[i], k_tolerance) << "sample " << i; - } - } - - TYPED_TEST(real_fft_test, RoundTripInPlaceAndAliased) { - constexpr size_t n = 256; - - mutap::basic_real_fft fft(n); - const auto x = random_signal(n, 7); - - // forward()/inverse() explicitly permit output aliasing input. - auto buf = x; - fft.forward(buf.data(), buf.data()); - fft.inverse(buf.data(), buf.data()); - - for (size_t i = 0; i < n; ++i) { - EXPECT_NEAR(buf[i], x[i], k_tolerance) << "sample " << i; - } - } - - TYPED_TEST(real_fft_test, ImpulseHasFlatSpectrum) { - constexpr size_t n = 64; - - mutap::basic_real_fft fft(n); - std::vector x(n, TypeParam(0)); - x[0] = TypeParam(1); - - fft.forward_inplace(x.data()); - - EXPECT_NEAR(x[0], 1.0, k_tolerance); // DC - EXPECT_NEAR(x[1], 1.0, k_tolerance); // Nyquist - for (size_t k = 1; k < n / 2; ++k) { - EXPECT_NEAR(x[2 * k], 1.0, k_tolerance) << "bin " << k << " real"; - EXPECT_NEAR(x[2 * k + 1], 0.0, k_tolerance) << "bin " << k << " imag"; - } - } - - TYPED_TEST(real_fft_test, DcAndNyquistPacking) { - constexpr size_t n = 64; - - mutap::basic_real_fft fft(n); - - // Constant input: all energy in DC = data[0]. - std::vector dc(n, TypeParam(1)); - fft.forward_inplace(dc.data()); - EXPECT_NEAR(dc[0], static_cast(n), k_tolerance * n); - EXPECT_NEAR(dc[1], 0.0, k_tolerance * n); - - // Alternating +1/-1: all energy in Nyquist = data[1]. - std::vector nyq(n); - for (size_t i = 0; i < n; ++i) { - nyq[i] = (i % 2 == 0) ? TypeParam(1) : TypeParam(-1); - } - fft.forward_inplace(nyq.data()); - EXPECT_NEAR(nyq[0], 0.0, k_tolerance * n); - EXPECT_NEAR(nyq[1], static_cast(n), k_tolerance * n); - } - - // The documented sign convention (W = exp(+2*pi*i/N)): a pure cosine at - // bin k lands entirely in the bin's real part (+N/2), a pure sine lands - // in the bin's IMAG part with a PLUS sign (+N/2) — the conjugate of the - // engineering-convention DFT, where it would be -N/2. - TYPED_TEST(real_fft_test, SignConventionIsPlusI) { - constexpr size_t n = 128; - constexpr size_t k = 5; - - mutap::basic_real_fft fft(n); - const double w = 2.0 * std::numbers::pi * static_cast(k) / static_cast(n); - - std::vector cosine(n); - std::vector sine(n); - for (size_t j = 0; j < n; ++j) { - cosine[j] = static_cast(std::cos(w * static_cast(j))); - sine[j] = static_cast(std::sin(w * static_cast(j))); - } - fft.forward_inplace(cosine.data()); - fft.forward_inplace(sine.data()); - - const double half = static_cast(n) / 2.0; - const double tol = k_tolerance * static_cast(n); - EXPECT_NEAR(cosine[2 * k], half, tol); - EXPECT_NEAR(cosine[2 * k + 1], 0.0, tol); - EXPECT_NEAR(sine[2 * k], 0.0, tol); - EXPECT_NEAR(sine[2 * k + 1], half, tol); // +N/2, not -N/2 - - // And nothing leaks into any other bin. - for (size_t bin = 1; bin < n / 2; ++bin) { - if (bin == k) { - continue; - } - EXPECT_NEAR(cosine[2 * bin], 0.0, tol) << "cos leak, bin " << bin; - EXPECT_NEAR(sine[2 * bin], 0.0, tol) << "sin leak, bin " << bin; - } - } - - TYPED_TEST(real_fft_test, ParsevalEnergyConservation) { - constexpr size_t n = 512; - - mutap::basic_real_fft fft(n); - const auto x = random_signal(n, 1234); - - double time_energy = 0.0; - for (size_t i = 0; i < n; ++i) { - time_energy += static_cast(x[i]) * static_cast(x[i]); - } - - auto spectrum = x; - fft.forward_inplace(spectrum.data()); - double freq_energy = static_cast(spectrum[0]) * static_cast(spectrum[0]) - + static_cast(spectrum[1]) * static_cast(spectrum[1]); - for (size_t k = 1; k < n / 2; ++k) { - const double re = static_cast(spectrum[2 * k]); - const double im = static_cast(spectrum[2 * k + 1]); - freq_energy += 2.0 * (re * re + im * im); - } - freq_energy /= static_cast(n); - - EXPECT_NEAR(freq_energy, time_energy, k_tolerance * time_energy * static_cast(n)); - } - - // The two precisions are the same algorithm on the same data: float must - // track double to single-precision rounding, which is what makes the - // float64 desktop oracle meaningful for the float32 embedded targets. - TEST(RealFftCrossPrecision, FloatTracksDouble) { - constexpr size_t n = 1024; - - const auto xd = random_signal(n, 99); - std::vector xf(n); - for (size_t i = 0; i < n; ++i) { - xf[i] = static_cast(xd[i]); - } - - mutap::real_fft fft64(n); - mutap::real_fft32 fft32(n); - auto sd = xd; - auto sf = xf; - fft64.forward_inplace(sd.data()); - fft32.forward_inplace(sf.data()); - - double err = 0.0; - double ref = 0.0; - for (size_t i = 0; i < n; ++i) { - const double d = static_cast(sf[i]) - sd[i]; - err += d * d; - ref += sd[i] * sd[i]; - } - EXPECT_LT(std::sqrt(err / ref), 1e-6); - } - -} // namespace diff --git a/tests/test_fft_backend.cpp b/tests/test_fft_backend.cpp deleted file mode 100644 index 1f07937..0000000 --- a/tests/test_fft_backend.cpp +++ /dev/null @@ -1,112 +0,0 @@ -// SPDX-License-Identifier: MIT -// Copyright 2026 MuTap contributors -// -// Parity oracle for the optional float32 FFT backends (MUTAP_FFT_CMSIS on the -// M55, MUTAP_FFT_ACCELERATE on Apple; see include/mutap/fft.h and -// docs/optimization.md). When one is active, basic_real_fft routes -// through that backend; this test pins it to Ooura's rdft_f — the golden model -// — bin-for-bin at the two certified geometries (512-pt canceller, 2048-pt -// suppressor analysis). -// -// The reconciliation under test: both backends use the engineering convention -// exp(-i2*pi/N), while our contract is Ooura's exp(+i2*pi/N) with an -// unnormalized inverse. Each wrapper conjugates the imaginary bins and rescales -// so every intermediate spectrum matches Ooura; if that ever drifts, the -// bin-for-bin comparison below fails loudly. -// -// When no backend is defined (the default desktop/Hexagon/Linux build), -// basic_real_fft already IS Ooura, so these become Ooura-vs-Ooura -// identity checks — trivially exact, and a live guard that the reference path -// keeps matching the wrapper. The rest of the FFT contract (packing, the +i -// sign convention, Parseval, float-tracks-double) is covered by test_fft.cpp, -// which exercises the same backend. - -#include -#include -#include - -#include - -#include "mutap/fft.h" - -namespace { - - // Direct Ooura float reference, independent of the C++ wrapper's backend: - // rdft_f is the extern "C" symbol regardless of MUTAP_FFT_CMSIS, so it is - // always the golden model to compare the wrapper against. - struct ooura_ref { - int m_n; - std::vector m_ip; - std::vector m_w; - explicit ooura_ref(int n) - : m_n(n) - , m_ip(2 + static_cast(std::sqrt(static_cast(n) / 2.0)) + 1) - , m_w(static_cast(n) / 2) { - m_ip[0] = 0; - } - void forward(float* a) { rdft_f(m_n, 1, a, m_ip.data(), m_w.data()); } - }; - - std::vector broadband(int n, unsigned seed) { - std::vector x(static_cast(n)); - unsigned s = seed; - for (auto& v : x) { - s ^= s << 13; - s ^= s >> 17; - s ^= s << 5; - v = (static_cast(s) / 2147483648.0f - 1.0f) * 0.1f; - } - return x; - } - - class fft_backend_parity : public ::testing::TestWithParam {}; - - // Forward transform of the wrapper (CMSIS when MUTAP_FFT_CMSIS) must match - // the Ooura reference to single-precision rounding, in the packed layout - // and sign convention the whole DSP chain assumes. - TEST_P(fft_backend_parity, ForwardMatchesOoura) { - const int n = GetParam(); - - const auto x = broadband(n, 0x9E3779B9u); - std::vector ref = x; - ooura_ref oref(n); - oref.forward(ref.data()); - - mutap::basic_real_fft fft(static_cast(n)); - std::vector got = x; - fft.forward_inplace(got.data()); - - float peak = 0.0f; - for (float v : ref) { - peak = std::fmax(peak, std::fabs(v)); - } - float max_err = 0.0f; - for (int i = 0; i < n; ++i) { - max_err = std::fmax(max_err, std::fabs(got[static_cast(i)] - ref[static_cast(i)])); - } - // De-risk harness measured 1.3e-7..2.0e-7 relative; 5e-6 is a wide, - // stable band that still catches a convention or scaling regression. - EXPECT_LT(max_err, 5e-6f * peak) << "N=" << n << " peak=" << peak; - } - - // Round trip through the wrapper reproduces the input: locks the inverse - // scaling (the N/2 factor in the CMSIS path) independently of the forward. - TEST_P(fft_backend_parity, RoundTripReproducesInput) { - const int n = GetParam(); - - mutap::basic_real_fft fft(static_cast(n)); - const auto x = broadband(n, 0x1234567u); - - std::vector spectrum(static_cast(n)); - std::vector back(static_cast(n)); - fft.forward(x.data(), spectrum.data()); - fft.inverse(spectrum.data(), back.data()); - - for (int i = 0; i < n; ++i) { - EXPECT_NEAR(back[static_cast(i)], x[static_cast(i)], 2e-5f) << "sample " << i; - } - } - - INSTANTIATE_TEST_SUITE_P(CertifiedGeometries, fft_backend_parity, ::testing::Values(512, 2048)); - -} // namespace diff --git a/tests/test_float32.cpp b/tests/test_float32.cpp index ed747a9..15647e7 100644 --- a/tests/test_float32.cpp +++ b/tests/test_float32.cpp @@ -59,10 +59,10 @@ namespace { /// boundary (input quantization to float32 is benign next to /// internal state precision). struct f32_chain { - mutap::aec_chain chain; - std::vector xb, yb, eb; + tap::mu::aec_chain chain; + std::vector xb, yb, eb; explicit f32_chain(const rate_setup& rs) - : chain(mutap::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs)) + : chain(tap::mu::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs)) , xb(rs.block) , yb(rs.block) , eb(rs.block) {} @@ -187,12 +187,12 @@ namespace { // Preset policy: the guard is a float32 deployment decision — the // certified double preset stays guard-off (bit-identical battery). TEST(Float32Parity, NarrowbandGuardPolicy) { - const auto f = mutap::aec_chain_preset(256, 4, 16000.0).canceller; + const auto f = tap::mu::aec_chain_preset(256, 4, 16000.0).canceller; EXPECT_GT(f.narrowband_guard, 0.0F); EXPECT_GE(f.narrowband_hold_blocks, size_t{8}); - const auto d48 = mutap::aec_chain_preset(256, 8, 48000.0).canceller; + const auto d48 = tap::mu::aec_chain_preset(256, 8, 48000.0).canceller; EXPECT_EQ(d48.narrowband_guard, 0.0); - const auto d16 = mutap::aec_chain_preset(256, 4, 16000.0).canceller; + const auto d16 = tap::mu::aec_chain_preset(256, 4, 16000.0).canceller; EXPECT_EQ(d16.narrowband_guard, 0.0); // The guard engages on a sustained tone and reports it. @@ -206,9 +206,9 @@ namespace { } set_level_dbm0(x, -16.0); struct raw_f32 { - mutap::partitioned_fdkf core; - std::vector xb, yb, eb; - explicit raw_f32(const mutap::partitioned_fdkf::config& c) + tap::mu::partitioned_fdkf core; + std::vector xb, yb, eb; + explicit raw_f32(const tap::mu::partitioned_fdkf::config& c) : core(c) , xb(c.block_size) , yb(c.block_size) @@ -224,14 +224,14 @@ namespace { } } }; - raw_f32 b(mutap::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs).canceller); + raw_f32 b(tap::mu::aec_chain_preset(rs.block, rs.taps / rs.block, rs.fs).canceller); EXPECT_FALSE(b.core.narrowband_frozen()); (void)run_chain(b, path, rs.block, x); EXPECT_TRUE(b.core.narrowband_frozen()); } // knob validation - using fdkf = mutap::partitioned_fdkf; + using fdkf = tap::mu::partitioned_fdkf; fdkf::config good; { auto c = good; diff --git a/tests/test_g168.cpp b/tests/test_g168.cpp index d87de03..8978c34 100644 --- a/tests/test_g168.cpp +++ b/tests/test_g168.cpp @@ -105,7 +105,7 @@ namespace { } template - typename mutap::aec_chain::config nlp_on_cfg(const rate_setup& rs) { + typename tap::mu::aec_chain::config nlp_on_cfg(const rate_setup& rs) { auto cfg = chain_config(rs); cfg.postfilter.comfort_noise = false; // Figure 9's instruction return cfg; diff --git a/tests/test_itu_signals.cpp b/tests/test_itu_signals.cpp index f3ef483..705e214 100644 --- a/tests/test_itu_signals.cpp +++ b/tests/test_itu_signals.cpp @@ -66,7 +66,7 @@ namespace { // Flat magnitude by construction: every FFT bin of the 8192-point // block has identical power (measured stddev 0.000 dB). - mutap::real_fft fft(8192); + tap::mu::real_fft fft(8192); std::vector b(css.begin() + 2144, css.begin() + 2144 + 8192); fft.forward_inplace(b.data()); double sum = 0.0; @@ -146,7 +146,7 @@ namespace { TEST(ItuSignals, NoiseFieldsHaveTheirSpectra) { auto octave_db = [&](const std::vector& x, double f0, double f1) { constexpr size_t n_fft = 65536; - mutap::real_fft fft(n_fft); + tap::mu::real_fft fft(n_fft); std::vector b(x.begin(), x.begin() + n_fft); fft.forward_inplace(b.data()); double acc = 0.0; diff --git a/tests/test_lpc.cpp b/tests/test_lpc.cpp index dea66d1..a8d6a26 100644 --- a/tests/test_lpc.cpp +++ b/tests/test_lpc.cpp @@ -54,8 +54,8 @@ namespace { std::vector r(3); std::vector a(3); std::vector scratch(3); - mutap::autocorrelation(x.data(), x.size(), r.data(), 2); - const size_t achieved = mutap::levinson(r.data(), size_t{2}, a.data(), scratch.data(), 1e-9); + tap::mu::autocorrelation(x.data(), x.size(), r.data(), 2); + const size_t achieved = tap::mu::levinson(r.data(), size_t{2}, a.data(), scratch.data(), 1e-9); EXPECT_EQ(achieved, 2u); EXPECT_NEAR(a[1], a1, 0.02); @@ -67,8 +67,8 @@ namespace { std::vector r(9); std::vector a(9); std::vector scratch(9); - mutap::autocorrelation(x.data(), x.size(), r.data(), 8); - mutap::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-9); + tap::mu::autocorrelation(x.data(), x.size(), r.data(), 8); + tap::mu::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-9); EXPECT_DOUBLE_EQ(a[0], 1.0); for (size_t j = 1; j <= 8; ++j) { EXPECT_LT(std::abs(a[j]), 0.05) << "coefficient " << j; @@ -79,7 +79,7 @@ namespace { std::vector r(9, 0.0); std::vector a(9, 42.0); std::vector scratch(9); - EXPECT_EQ(mutap::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-4), 0u); + EXPECT_EQ(tap::mu::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-4), 0u); EXPECT_DOUBLE_EQ(a[0], 1.0); for (size_t j = 1; j <= 8; ++j) { EXPECT_DOUBLE_EQ(a[j], 0.0); @@ -91,7 +91,7 @@ namespace { r[0] = std::numeric_limits::quiet_NaN(); std::vector a(5, 42.0); std::vector scratch(5); - EXPECT_EQ(mutap::levinson(r.data(), size_t{4}, a.data(), scratch.data(), 1e-4), 0u); + EXPECT_EQ(tap::mu::levinson(r.data(), size_t{4}, a.data(), scratch.data(), 1e-4), 0u); EXPECT_DOUBLE_EQ(a[0], 1.0); EXPECT_DOUBLE_EQ(a[1], 0.0); } @@ -103,8 +103,8 @@ namespace { std::vector r(9); std::vector a(9); std::vector scratch(9); - mutap::autocorrelation(x.data(), x.size(), r.data(), 8); - mutap::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-4); + tap::mu::autocorrelation(x.data(), x.size(), r.data(), 8); + tap::mu::levinson(r.data(), size_t{8}, a.data(), scratch.data(), 1e-4); double dc_gain = 0.0; for (size_t j = 0; j <= 8; ++j) { ASSERT_TRUE(std::isfinite(a[j])) << "coefficient " << j; @@ -125,8 +125,8 @@ namespace { std::vector r(order + 1); std::vector a(order + 1); std::vector scratch(order + 1); - mutap::autocorrelation(x.data(), x.size(), r.data(), order); - mutap::levinson(r.data(), order, a.data(), scratch.data(), 1e-4); + tap::mu::autocorrelation(x.data(), x.size(), r.data(), order); + tap::mu::levinson(r.data(), order, a.data(), scratch.data(), 1e-4); std::vector res(x.size(), 0.0); for (size_t i = order; i < x.size(); ++i) { @@ -154,8 +154,8 @@ namespace { std::vector r(9); std::vector a(9); std::vector scratch(9); - mutap::autocorrelation(x.data(), x.size(), r.data(), 8); - mutap::levinson(r.data(), size_t{8}, a.data(), scratch.data(), ridge); + tap::mu::autocorrelation(x.data(), x.size(), r.data(), 8); + tap::mu::levinson(r.data(), size_t{8}, a.data(), scratch.data(), ridge); std::vector res(x.size(), 0.0); for (size_t i = 8; i < x.size(); ++i) { double acc = 0.0; @@ -177,7 +177,7 @@ namespace { for (size_t i = 1; i < x.size(); ++i) { x[i] += 0.8 * x[i - 1]; // color it so coefficients are nontrivial } - mutap::lpc_predictor lp({16, 1e-4}); + tap::mu::lpc_predictor lp({16, 1e-4}); lp.analyze(x.data(), x.size()); auto one_state = lp.make_state(); @@ -197,8 +197,8 @@ namespace { } TEST(LpcPredictor, ResetStateClearsHistory) { - auto x = white_noise(256, 6); - mutap::lpc_predictor lp({8, 1e-4}); + auto x = white_noise(256, 6); + tap::mu::lpc_predictor lp({8, 1e-4}); lp.analyze(x.data(), x.size()); auto s = lp.make_state(); @@ -217,15 +217,15 @@ namespace { } TEST(SpeechPredictor, FindsPitchOnVoicedMaterial) { - const auto v = mutap_test::voiced_near_end(4096, 7, 160); - mutap::speech_predictor sp({}); + const auto v = mutap_test::voiced_near_end(4096, 7, 160); + tap::mu::speech_predictor sp({}); sp.analyze(&v[2048], 1024); EXPECT_EQ(sp.pitch_lag(), 160u); EXPECT_NEAR(static_cast(sp.pitch_gain()), 0.9, 1e-6); // clamped at max_gain } TEST(SpeechPredictor, PitchStaysOffOnUnvoicedMaterial) { - mutap::speech_predictor sp({}); + tap::mu::speech_predictor sp({}); const auto t = mutap_test::tonal_near_end(4096, 7); sp.analyze(&t[2048], 1024); // short-term LP whitens tones; residual is noise @@ -242,13 +242,13 @@ namespace { TEST(SpeechPredictor, CascadeBeatsShortTermAloneOnVoiced) { const auto v = mutap_test::voiced_near_end(4096, 7, 160); - mutap::speech_predictor sp({}); + tap::mu::speech_predictor sp({}); sp.analyze(&v[2048], 1024); auto sp_state = sp.make_state(); std::vector cascade(1024); sp.apply(sp_state, &v[3072], cascade.data(), 1024); - mutap::lpc_predictor lp({16, 1e-4}); + tap::mu::lpc_predictor lp({16, 1e-4}); lp.analyze(&v[2048], 1024); auto lp_state = lp.make_state(); std::vector short_term(1024); @@ -262,8 +262,8 @@ namespace { } TEST(SpeechPredictor, BlockwiseApplyMatchesOneShot) { - const auto v = mutap_test::voiced_near_end(2048, 9, 160); - mutap::speech_predictor sp({}); + const auto v = mutap_test::voiced_near_end(2048, 9, 160); + tap::mu::speech_predictor sp({}); sp.analyze(v.data(), 1024); auto one_state = sp.make_state(); @@ -293,13 +293,13 @@ namespace { TEST(WarpedLpcPredictor, LambdaZeroMatchesPlain) { const auto v = mutap_test::music_near_end(4096, 7); - mutap::lpc_predictor plain({16, 1e-4}); + tap::mu::lpc_predictor plain({16, 1e-4}); plain.analyze(&v[2048], 1024); - mutap::warped_lpc_predictor::config wc; + tap::mu::warped_lpc_predictor::config wc; wc.order = 16; wc.lambda = 0.0; - mutap::warped_lpc_predictor warped(wc); + tap::mu::warped_lpc_predictor warped(wc); warped.analyze(&v[2048], 1024); for (size_t j = 0; j <= 16; ++j) { @@ -318,8 +318,8 @@ namespace { } TEST(WarpedLpcPredictor, BlockwiseApplyMatchesOneShot) { - const auto v = mutap_test::music_near_end(2048, 9); - mutap::warped_lpc_predictor wp({}); + const auto v = mutap_test::music_near_end(2048, 9); + tap::mu::warped_lpc_predictor wp({}); wp.analyze(v.data(), 1024); auto one_state = wp.make_state(); @@ -339,8 +339,8 @@ namespace { } TEST(WarpedLpcPredictor, ResetStateClearsHistory) { - const auto v = mutap_test::music_near_end(1024, 6); - mutap::warped_lpc_predictor wp({}); + const auto v = mutap_test::music_near_end(1024, 6); + tap::mu::warped_lpc_predictor wp({}); wp.analyze(v.data(), v.size()); auto s = wp.make_state(); @@ -362,7 +362,7 @@ namespace { // frames must yield the identity filter, and applying the identity must // pass the signal through untouched (the allpass taps all weigh zero). TEST(WarpedLpcPredictor, DegenerateFramesGiveIdentity) { - mutap::warped_lpc_predictor wp({}); + tap::mu::warped_lpc_predictor wp({}); std::vector silence(1024, 0.0); wp.analyze(silence.data(), silence.size()); @@ -395,8 +395,8 @@ namespace { const auto vd = mutap_test::music_near_end(4096, 7); std::vector vf(vd.begin(), vd.end()); - mutap::warped_lpc_predictor wd({}); - mutap::warped_lpc_predictor wf({}); + tap::mu::warped_lpc_predictor wd({}); + tap::mu::warped_lpc_predictor wf({}); wd.analyze(&vd[2048], 1024); wf.analyze(&vf[2048], 1024); for (size_t j = 0; j <= wd.order(); ++j) { @@ -405,11 +405,11 @@ namespace { } TEST(PredictorConfigValidation, RejectsBadConfigs) { - using lpc = mutap::lpc_predictor; + using lpc = tap::mu::lpc_predictor; EXPECT_THROW(lpc({0, 1e-4F}), std::invalid_argument); EXPECT_THROW(lpc({8, 0.0F}), std::invalid_argument); - using speech = mutap::speech_predictor; + using speech = tap::mu::speech_predictor; speech::config c; c.min_lag = 0; EXPECT_THROW(speech{c}, std::invalid_argument); @@ -423,7 +423,7 @@ namespace { c.max_gain = 1.0F; EXPECT_THROW(speech{c}, std::invalid_argument); - using warped = mutap::warped_lpc_predictor; + using warped = tap::mu::warped_lpc_predictor; warped::config w; w.order = 0; EXPECT_THROW(warped{w}, std::invalid_argument); diff --git a/tests/test_pem_afc.cpp b/tests/test_pem_afc.cpp index a77ce32..6dae6cc 100644 --- a/tests/test_pem_afc.cpp +++ b/tests/test_pem_afc.cpp @@ -75,8 +75,8 @@ namespace { } template - typename mutap::pem_afc::config pem_config() { - typename mutap::pem_afc::config cfg; + typename tap::mu::pem_afc::config pem_config() { + typename tap::mu::pem_afc::config cfg; cfg.fdaf.block_size = k_block; cfg.fdaf.partitions = k_taps / k_block; return cfg; @@ -84,10 +84,10 @@ namespace { // Converge a PEM canceller inside the closed loop at a safe gain. template - mutap::pem_afc converge_pem(const std::vector& path, double gain_db, const std::vector& v, - double* misalignment = nullptr) { - mutap::pem_afc afc(pem_config()); - closed_loop_sim sim(loop_config(path, gain_db)); + tap::mu::pem_afc converge_pem(const std::vector& path, double gain_db, const std::vector& v, + double* misalignment = nullptr) { + tap::mu::pem_afc afc(pem_config()); + closed_loop_sim sim(loop_config(path, gain_db)); for (size_t blk = 0; blk < v.size() / k_block; ++blk) { sim.step(&v[blk * k_block], &afc); } @@ -100,7 +100,7 @@ namespace { } template - bool howls_with(const std::vector& path, const mutap::pem_afc& converged, double gain_db, + bool howls_with(const std::vector& path, const tap::mu::pem_afc& converged, double gain_db, const std::vector& v) { closed_loop_sim sim(loop_config(path, gain_db)); auto probe = converged; @@ -153,16 +153,16 @@ namespace { converge_pem(path, open_msg - 6.0, v_pem, &mis); pem_mis.push_back(mis); - mutap::partitioned_fdaf::config naive_cfg; + tap::mu::partitioned_fdaf::config naive_cfg; naive_cfg.block_size = k_block; naive_cfg.partitions = k_taps / k_block; // M1-era fixed-epsilon naive, same pinning as the M2 baseline // test: M4's variable regularization softens the naive bias on // its own — mitigation, not the fix. naive_cfg.relative_regularization = 0.0; - mutap::partitioned_fdaf naive(naive_cfg); - closed_loop_sim sim(loop_config(path, open_msg - 6.0)); - const auto v_naive = mutap_test::tonal_near_end(600 * k_block, seed); + tap::mu::partitioned_fdaf naive(naive_cfg); + closed_loop_sim sim(loop_config(path, open_msg - 6.0)); + const auto v_naive = mutap_test::tonal_near_end(600 * k_block, seed); for (size_t blk = 0; blk < v_naive.size() / k_block; ++blk) { sim.step(&v_naive[blk * k_block], &naive); } @@ -246,11 +246,11 @@ namespace { const auto path = random_decaying_rir(k_taps, room); const double open_msg = mutap_test::theoretical_msg_db(path); - mutap::pem_afc>::config wc; + tap::mu::pem_afc>::config wc; wc.fdaf.block_size = k_block; wc.fdaf.partitions = k_taps / k_block; wc.fdaf.ipc_step_scaling = true; - mutap::pem_afc> warped(wc); + tap::mu::pem_afc> warped(wc); const double asg = converge_and_measure(warped, path, open_msg); EXPECT_GT(asg, 4.0) << "room " << room << " (measured >= +7.2 dB)"; @@ -262,10 +262,10 @@ namespace { // Room 9 is where the speech cascade destabilizes on this material // (measured -2.2 dB vs warped+IPC +7.2 — a 9 dB gap; asserted with // nearly half of it as chaotic-trajectory margin). - const auto path = random_decaying_rir(k_taps, 9); - const double open_msg = mutap_test::theoretical_msg_db(path); - mutap::pem_afc speech(pem_config()); - const double speech_room9 = converge_and_measure(speech, path, open_msg); + const auto path = random_decaying_rir(k_taps, 9); + const double open_msg = mutap_test::theoretical_msg_db(path); + tap::mu::pem_afc speech(pem_config()); + const double speech_room9 = converge_and_measure(speech, path, open_msg); EXPECT_GT(warped_room9, speech_room9 + 4.0) << "warped+IPC should rescue the room where the cascade collapses"; } @@ -280,11 +280,11 @@ namespace { const auto v_converge = mutap_test::ar_near_end(1500 * k_block, 2); const auto v_probe = mutap_test::ar_near_end(600 * k_block, 12); - mutap::pem_afc>::config wc; + tap::mu::pem_afc>::config wc; wc.fdaf.block_size = k_block; wc.fdaf.partitions = k_taps / k_block; wc.fdaf.ipc_step_scaling = true; - mutap::pem_afc> warped(wc); + tap::mu::pem_afc> warped(wc); closed_loop_sim sim(loop_config(path, open_msg - 6.0)); for (size_t blk = 0; blk < 1500; ++blk) { @@ -311,7 +311,7 @@ namespace { } TEST(PemAfcConfigValidation, RejectsBadConfigs) { - using afc = mutap::pem_afc; + using afc = tap::mu::pem_afc; afc::config cfg = pem_config(); cfg.analysis_window = k_block; // < 2 * block_size @@ -329,10 +329,10 @@ namespace { // The real-time contract carries through the PEM wrapper: everything // after construction is noexcept — for the warped instantiation too. TEST(PemAfcRtContract, PostConstructionEntryPointsAreNoexcept) { - using wafc = mutap::pem_afc>; + using wafc = tap::mu::pem_afc>; static_assert(noexcept(std::declval().process_block(nullptr, nullptr, nullptr))); static_assert(noexcept(std::declval().reset())); - using afc = mutap::pem_afc; + using afc = tap::mu::pem_afc; static_assert(noexcept(std::declval().process_block(nullptr, nullptr, nullptr))); static_assert(noexcept(std::declval().copy_impulse_response(nullptr))); static_assert(noexcept(std::declval().reset())); diff --git a/tests/test_postfilter.cpp b/tests/test_postfilter.cpp index 7013860..5d0e37e 100644 --- a/tests/test_postfilter.cpp +++ b/tests/test_postfilter.cpp @@ -67,8 +67,8 @@ namespace { using namespace mutap_test; - using chain_kalman = mutap::aec_chain; - using chain_nlms = mutap::aec_chain>; + using chain_kalman = tap::mu::aec_chain; + using chain_nlms = tap::mu::aec_chain>; constexpr size_t k_block = 256; constexpr size_t k_taps = 2048; @@ -354,11 +354,11 @@ namespace { // Spectral match: Welch band levels, half-mask bounds. const auto band_levels = [&](const std::vector& s) { - const size_t n = 8192; - mutap::basic_real_fft fft(n); - std::vector psd(n / 2 + 1, 0.0); - std::vector buf(n); - std::vector win(n); + const size_t n = 8192; + tap::mu::basic_real_fft fft(n); + std::vector psd(n / 2 + 1, 0.0); + std::vector buf(n); + std::vector win(n); for (size_t i = 0; i < n; ++i) { win[i] = 0.5 - 0.5 * std::cos(2.0 * std::numbers::pi * static_cast(i) / static_cast(n - 1)); @@ -462,7 +462,7 @@ namespace { // The pem_afc 3-argument surface still composes (the closed-loop AFC // heritage path through aec_chain's echo_estimate_block() branch). TEST(ItuChain, PemAfcCancellerStillComposes) { - using chain_pem = mutap::aec_chain>; + using chain_pem = tap::mu::aec_chain>; chain_pem::config cfg; cfg.canceller.fdaf.block_size = k_block; cfg.canceller.fdaf.partitions = k_taps / k_block; @@ -527,7 +527,7 @@ namespace { } TEST(PostFilterConfigValidation, RejectsBadConfigs) { - using pf = mutap::residual_suppressor; + using pf = tap::mu::residual_suppressor; pf::config good; EXPECT_NO_THROW(pf{good}); { @@ -586,8 +586,8 @@ namespace { itu::set_level_dbm0(x, -16.0); struct raw_kalman { - mutap::partitioned_fdkf core; - explicit raw_kalman(const mutap::partitioned_fdkf::config& c) + tap::mu::partitioned_fdkf core; + explicit raw_kalman(const tap::mu::partitioned_fdkf::config& c) : core(c) {} void process_block(const double* xx, const double* yy, double* e) noexcept { core.process_block(xx, yy, e); @@ -596,7 +596,7 @@ namespace { // With the preset's prone-band knobs: the notch is closed. { - raw_kalman b(mutap::aec_chain_preset(128, 8, fs).canceller); + raw_kalman b(tap::mu::aec_chain_preset(128, 8, fs).canceller); auto rr = itu::run_chain(b, path, 128, x); itu::erl_reader erl(rr.echo, rr.out, fs); EXPECT_GE(erl.by(0.6), 12.0); // measured 15.5 @@ -606,7 +606,7 @@ namespace { // documents the mechanism; if a future core change closes it // with the knobs off, celebrate and retire the gate). { - auto c = mutap::aec_chain_preset(128, 8, fs).canceller; + auto c = tap::mu::aec_chain_preset(128, 8, fs).canceller; c.novelty_smoothing = 0.0; c.novelty_floor = 0.0; c.initial_uncertainty_decay = 1.0; @@ -620,21 +620,21 @@ namespace { // Preset knob policy: the counter-measures live strictly inside the // prone hop band — both certified geometries stay bit-identical. TEST(ItuChain, PresetNoveltyPolicy) { - const auto cert48 = mutap::aec_chain_preset(256, 8, 48000.0).canceller; + const auto cert48 = tap::mu::aec_chain_preset(256, 8, 48000.0).canceller; EXPECT_EQ(cert48.novelty_smoothing, 0.0); EXPECT_EQ(cert48.initial_uncertainty_decay, 1.0); - const auto cert16 = mutap::aec_chain_preset(256, 4, 16000.0).canceller; + const auto cert16 = tap::mu::aec_chain_preset(256, 4, 16000.0).canceller; EXPECT_EQ(cert16.novelty_smoothing, 0.0); EXPECT_EQ(cert16.initial_uncertainty_decay, 1.0); - const auto prone16 = mutap::aec_chain_preset(128, 8, 16000.0).canceller; + const auto prone16 = tap::mu::aec_chain_preset(128, 8, 16000.0).canceller; EXPECT_GT(prone16.novelty_smoothing, 0.0); EXPECT_LT(prone16.initial_uncertainty_decay, 1.0); - const auto prone32 = mutap::aec_chain_preset(256, 8, 32000.0).canceller; + const auto prone32 = tap::mu::aec_chain_preset(256, 8, 32000.0).canceller; EXPECT_GT(prone32.novelty_smoothing, 0.0); // knob validation - using fdkf = mutap::partitioned_fdkf; + using fdkf = tap::mu::partitioned_fdkf; fdkf::config good; { auto c = good; @@ -654,7 +654,7 @@ namespace { } TEST(PostFilterRtContract, ProcessingPathIsNoexcept) { - using pf = mutap::residual_suppressor; + using pf = tap::mu::residual_suppressor; static_assert(noexcept(std::declval().process_block(nullptr, nullptr, nullptr))); static_assert(noexcept(std::declval().reset())); static_assert(noexcept(std::declval().gain_at(0))); diff --git a/tests/test_rir_fixtures.cpp b/tests/test_rir_fixtures.cpp index 5ba8661..ce98bf4 100644 --- a/tests/test_rir_fixtures.cpp +++ b/tests/test_rir_fixtures.cpp @@ -117,7 +117,7 @@ namespace { // canceller holds the same large broadband gains the synthetic rooms // showed (measured +17.8..+19.1 dB across the three rooms). TEST(RirFixtures, KalmanPemAddsStableGainOnModeledRooms) { - using pem = mutap::pem_afc, mutap::partitioned_fdkf>; + using pem = tap::mu::pem_afc, tap::mu::partitioned_fdkf>; for (const auto& r : k_rooms) { EXPECT_GT(converge_and_measure_asg(truncated_path(r)), 10.0) << r.name << " (measured >= +17.8 dB)"; } @@ -127,7 +127,7 @@ namespace { // +9.4 dB) — the gap between these two tests is the v2 story told on // realistic acoustics. TEST(RirFixtures, NlmsPemAddsStableGainOnStudio) { - EXPECT_GT(converge_and_measure_asg>(truncated_path(k_rooms[0])), 4.0) + EXPECT_GT(converge_and_measure_asg>(truncated_path(k_rooms[0])), 4.0) << "measured +9.4 dB"; } diff --git a/third_party/cmsis-dsp/Include/arm_common_tables.h b/third_party/cmsis-dsp/Include/arm_common_tables.h deleted file mode 100644 index 6a92704..0000000 --- a/third_party/cmsis-dsp/Include/arm_common_tables.h +++ /dev/null @@ -1,318 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_common_tables.h - * Description: Extern declaration for common tables - * - * @version V1.10.0 - * @date 08 July 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_COMMON_TABLES_H -#define ARM_COMMON_TABLES_H - -#include "arm_math_types.h" -#include "dsp/fast_math_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - /* Double Precision Float CFFT twiddles */ - extern const uint16_t armBitRevTable[1024]; - - extern const uint64_t twiddleCoefF64_16[32]; - - extern const uint64_t twiddleCoefF64_32[64]; - - extern const uint64_t twiddleCoefF64_64[128]; - - extern const uint64_t twiddleCoefF64_128[256]; - - extern const uint64_t twiddleCoefF64_256[512]; - - extern const uint64_t twiddleCoefF64_512[1024]; - - extern const uint64_t twiddleCoefF64_1024[2048]; - - extern const uint64_t twiddleCoefF64_2048[4096]; - - extern const uint64_t twiddleCoefF64_4096[8192]; - - extern const float32_t twiddleCoef_16[32]; - - extern const float32_t twiddleCoef_32[64]; - - extern const float32_t twiddleCoef_64[128]; - - extern const float32_t twiddleCoef_128[256]; - - extern const float32_t twiddleCoef_256[512]; - - extern const float32_t twiddleCoef_512[1024]; - - extern const float32_t twiddleCoef_1024[2048]; - - extern const float32_t twiddleCoef_2048[4096]; - - extern const float32_t twiddleCoef_4096[8192]; - #define twiddleCoef twiddleCoef_4096 - - /* Q31 */ - - extern const q31_t twiddleCoef_16_q31[24]; - - extern const q31_t twiddleCoef_32_q31[48]; - - extern const q31_t twiddleCoef_64_q31[96]; - - extern const q31_t twiddleCoef_128_q31[192]; - - extern const q31_t twiddleCoef_256_q31[384]; - - extern const q31_t twiddleCoef_512_q31[768]; - - extern const q31_t twiddleCoef_1024_q31[1536]; - - extern const q31_t twiddleCoef_2048_q31[3072]; - - extern const q31_t twiddleCoef_4096_q31[6144]; - - extern const q15_t twiddleCoef_16_q15[24]; - - extern const q15_t twiddleCoef_32_q15[48]; - - extern const q15_t twiddleCoef_64_q15[96]; - - extern const q15_t twiddleCoef_128_q15[192]; - - extern const q15_t twiddleCoef_256_q15[384]; - - extern const q15_t twiddleCoef_512_q15[768]; - - extern const q15_t twiddleCoef_1024_q15[1536]; - - extern const q15_t twiddleCoef_2048_q15[3072]; - - extern const q15_t twiddleCoef_4096_q15[6144]; - - /* Double Precision Float RFFT twiddles */ - extern const uint64_t twiddleCoefF64_rfft_32[32]; - - extern const uint64_t twiddleCoefF64_rfft_64[64]; - - extern const uint64_t twiddleCoefF64_rfft_128[128]; - - extern const uint64_t twiddleCoefF64_rfft_256[256]; - - extern const uint64_t twiddleCoefF64_rfft_512[512]; - - extern const uint64_t twiddleCoefF64_rfft_1024[1024]; - - extern const uint64_t twiddleCoefF64_rfft_2048[2048]; - - extern const uint64_t twiddleCoefF64_rfft_4096[4096]; - - extern const float32_t twiddleCoef_rfft_32[32]; - - extern const float32_t twiddleCoef_rfft_64[64]; - - extern const float32_t twiddleCoef_rfft_128[128]; - - extern const float32_t twiddleCoef_rfft_256[256]; - - extern const float32_t twiddleCoef_rfft_512[512]; - - extern const float32_t twiddleCoef_rfft_1024[1024]; - - extern const float32_t twiddleCoef_rfft_2048[2048]; - - extern const float32_t twiddleCoef_rfft_4096[4096]; - - /* Double precision floating-point bit reversal tables */ - - #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12) - extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24) - extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56) - extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112) - extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240) - extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480) - extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992) - extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984) - extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032) - extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH]; - /* floating-point bit reversal tables */ - - #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20) - extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48) - extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56) - extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208) - extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440) - extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448) - extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800) - extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808) - extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032) - extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH]; - - - /* fixed-point bit reversal tables */ - - #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12) - extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24) - extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56) - extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112) - extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240) - extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480) - extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992) - extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984) - extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH]; - - #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032) - extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH]; - - extern const float32_t realCoefA[8192]; - extern const float32_t realCoefB[8192]; - - extern const q31_t realCoefAQ31[8192]; - extern const q31_t realCoefBQ31[8192]; - - extern const q15_t realCoefAQ15[8192]; - extern const q15_t realCoefBQ15[8192]; - - extern const float32_t Weights_128[256]; - extern const float32_t cos_factors_128[128]; - - extern const float32_t Weights_512[1024]; - extern const float32_t cos_factors_512[512]; - - extern const float32_t Weights_2048[4096]; - extern const float32_t cos_factors_2048[2048]; - - extern const float32_t Weights_8192[16384]; - extern const float32_t cos_factors_8192[8192]; - - extern const q15_t WeightsQ15_128[256]; - extern const q15_t cos_factorsQ15_128[128]; - - extern const q15_t WeightsQ15_512[1024]; - extern const q15_t cos_factorsQ15_512[512]; - - extern const q15_t WeightsQ15_2048[4096]; - extern const q15_t cos_factorsQ15_2048[2048]; - - extern const q15_t WeightsQ15_8192[16384]; - extern const q15_t cos_factorsQ15_8192[8192]; - - extern const q31_t WeightsQ31_128[256]; - extern const q31_t cos_factorsQ31_128[128]; - - extern const q31_t WeightsQ31_512[1024]; - extern const q31_t cos_factorsQ31_512[512]; - - extern const q31_t WeightsQ31_2048[4096]; - extern const q31_t cos_factorsQ31_2048[2048]; - - extern const q31_t WeightsQ31_8192[16384]; - extern const q31_t cos_factorsQ31_8192[8192]; - - - extern const q15_t armRecipTableQ15[64]; - - extern const q31_t armRecipTableQ31[64]; - - /* Tables for Fast Math Sine and Cosine */ - extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; - - extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; - - extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; - - - /* Accurate scalar sqrt */ - extern const q31_t sqrt_initial_lut_q31[32]; - - extern const q15_t sqrt_initial_lut_q15[16]; - -#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) - extern const q15_t sqrtTable_Q15[256]; - extern const q31_t sqrtTable_Q31[256]; - extern const unsigned char hwLUT[256]; -#endif - -#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) - extern const float32_t exp_tab[8]; - extern const float32_t __logf_lut_f32[8]; -#endif - - -#ifdef __cplusplus -} -#endif - -#endif /* ARM_COMMON_TABLES_H */ - diff --git a/third_party/cmsis-dsp/Include/arm_const_structs.h b/third_party/cmsis-dsp/Include/arm_const_structs.h deleted file mode 100644 index 32c1a43..0000000 --- a/third_party/cmsis-dsp/Include/arm_const_structs.h +++ /dev/null @@ -1,86 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_const_structs.h - * Description: Constant structs that are initialized for user convenience. - * For example, some can be given as arguments to the arm_cfft_f32() function. - * - * @version V1.10.0 - * @date 08 July 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_CONST_STRUCTS_H -#define ARM_CONST_STRUCTS_H - -#include "arm_math_types.h" -#include "arm_common_tables.h" -#include "dsp/transform_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048; - extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096; - - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048; - extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096; - - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048; - extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096; - - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048; - extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096; - -#ifdef __cplusplus -} -#endif - -#endif - diff --git a/third_party/cmsis-dsp/Include/arm_helium_utils.h b/third_party/cmsis-dsp/Include/arm_helium_utils.h deleted file mode 100755 index 7ef5210..0000000 --- a/third_party/cmsis-dsp/Include/arm_helium_utils.h +++ /dev/null @@ -1,749 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_helium_utils.h - * Description: Utility functions for Helium development - * - * @version V1.10.0 - * @date 08 July 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_UTILS_HELIUM_H_ -#define ARM_UTILS_HELIUM_H_ - - -#ifdef __cplusplus -extern "C" -{ -#endif -/*************************************** - -Definitions available for MVEF and MVEI - -***************************************/ -#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE) - -#define INACTIVELANE 0 /* inactive lane content */ - - -#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) */ - -/*************************************** - -Definitions available for MVEF only - -***************************************/ -#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF)) && !defined(ARM_MATH_AUTOVECTORIZE) - -__STATIC_FORCEINLINE float32_t vecAddAcrossF32Mve(float32x4_t in) -{ - float32_t acc; - - acc = vgetq_lane(in, 0) + vgetq_lane(in, 1) + - vgetq_lane(in, 2) + vgetq_lane(in, 3); - - return acc; -} - - - - -/* newton initial guess */ -#define INVSQRT_MAGIC_F32 0x5f3759df -#define INV_NEWTON_INIT_F32 0x7EF127EA - - -#define INVSQRT_NEWTON_MVE_F32(invSqrt, xHalf, xStart)\ -{ \ - float32x4_t tmp; \ - \ - /* tmp = xhalf * x * x */ \ - tmp = vmulq(xStart, xStart); \ - tmp = vmulq(tmp, xHalf); \ - /* (1.5f - xhalf * x * x) */ \ - tmp = vsubq(vdupq_n_f32(1.5f), tmp); \ - /* x = x*(1.5f-xhalf*x*x); */ \ - invSqrt = vmulq(tmp, xStart); \ -} -#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) */ - - -/*************************************** - -Definitions available for f16 datatype with HW acceleration only - -***************************************/ -#if defined(ARM_FLOAT16_SUPPORTED) -#if defined (ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) - -__STATIC_FORCEINLINE float16_t vecAddAcrossF16Mve(float16x8_t in) -{ - float16x8_t tmpVec; - _Float16 acc; - - tmpVec = (float16x8_t) vrev32q_s16((int16x8_t) in); - in = vaddq_f16(tmpVec, in); - tmpVec = (float16x8_t) vrev64q_s32((int32x4_t) in); - in = vaddq_f16(tmpVec, in); - acc = (_Float16)vgetq_lane_f16(in, 0) + (_Float16)vgetq_lane_f16(in, 4); - - return (float16_t)acc; -} - -__STATIC_FORCEINLINE float16x8_t __mve_cmplx_sum_intra_vec_f16( - float16x8_t vecIn) -{ - float16x8_t vecTmp, vecOut; - uint32_t tmp = 0; - - vecTmp = (float16x8_t) vrev64q_s32((int32x4_t) vecIn); - // TO TRACK : using canonical addition leads to inefficient code generation for f16 - // vecTmp = vecTmp + vecAccCpx0; - /* - * Compute - * re0+re1 | im0+im1 | re0+re1 | im0+im1 - * re2+re3 | im2+im3 | re2+re3 | im2+im3 - */ - vecTmp = vaddq_f16(vecTmp, vecIn); - vecOut = vecTmp; - /* - * shift left, random tmp insertion in bottom - */ - vecOut = vreinterpretq_f16_s32(vshlcq_s32(vreinterpretq_s32_f16(vecOut) , &tmp, 32)); - /* - * Compute: - * DONTCARE | DONTCARE | re0+re1+re0+re1 |im0+im1+im0+im1 - * re0+re1+re2+re3 | im0+im1+im2+im3 | re2+re3+re2+re3 |im2+im3+im2+im3 - */ - vecOut = vaddq_f16(vecOut, vecTmp); - /* - * Cmplx sum is in 4th & 5th f16 elt - * return full vector - */ - return vecOut; -} - - -#define mve_cmplx_sum_intra_r_i_f16(vec, Re, Im) \ -{ \ - float16x8_t vecOut = __mve_cmplx_sum_intra_vec_f16(vec); \ - Re = vgetq_lane(vecOut, 4); \ - Im = vgetq_lane(vecOut, 5); \ -} - -__STATIC_FORCEINLINE void mve_cmplx_sum_intra_vec_f16( - float16x8_t vecIn, - float16_t *pOut) -{ - float16x8_t vecOut = __mve_cmplx_sum_intra_vec_f16(vecIn); - /* - * Cmplx sum is in 4th & 5th f16 elt - * use 32-bit extraction - */ - *(float32_t *) pOut = ((float32x4_t) vecOut)[2]; -} - - -#define INVSQRT_MAGIC_F16 0x59ba /* ( 0x1ba = 0x3759df >> 13) */ - -/* canonical version of INVSQRT_NEWTON_MVE_F16 leads to bad performance */ -#define INVSQRT_NEWTON_MVE_F16(invSqrt, xHalf, xStart) \ -{ \ - float16x8_t tmp; \ - \ - /* tmp = xhalf * x * x */ \ - tmp = vmulq(xStart, xStart); \ - tmp = vmulq(tmp, xHalf); \ - /* (1.5f - xhalf * x * x) */ \ - tmp = vsubq(vdupq_n_f16((float16_t)1.5), tmp); \ - /* x = x*(1.5f-xhalf*x*x); */ \ - invSqrt = vmulq(tmp, xStart); \ -} - -#endif -#endif - -/*************************************** - -Definitions available for MVEI and MVEF only - -***************************************/ -#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE) -/* Following functions are used to transpose matrix in f32 and q31 cases */ -__STATIC_INLINE arm_status arm_mat_trans_32bit_2x2_mve( - uint32_t * pDataSrc, - uint32_t * pDataDest) -{ - static const uint32x4_t vecOffs = { 0, 2, 1, 3 }; - /* - * - * | 0 1 | => | 0 2 | - * | 2 3 | | 1 3 | - * - */ - uint32x4_t vecIn = vldrwq_u32((uint32_t const *)pDataSrc); - vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs, vecIn); - - return (ARM_MATH_SUCCESS); -} - -__STATIC_INLINE arm_status arm_mat_trans_32bit_3x3_mve( - uint32_t * pDataSrc, - uint32_t * pDataDest) -{ - const uint32x4_t vecOffs1 = { 0, 3, 6, 1}; - const uint32x4_t vecOffs2 = { 4, 7, 2, 5}; - /* - * - * | 0 1 2 | | 0 3 6 | 4 x 32 flattened version | 0 3 6 1 | - * | 3 4 5 | => | 1 4 7 | => | 4 7 2 5 | - * | 6 7 8 | | 2 5 8 | (row major) | 8 . . . | - * - */ - uint32x4_t vecIn1 = vldrwq_u32((uint32_t const *) pDataSrc); - uint32x4_t vecIn2 = vldrwq_u32((uint32_t const *) &pDataSrc[4]); - - vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs1, vecIn1); - vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs2, vecIn2); - - pDataDest[8] = pDataSrc[8]; - - return (ARM_MATH_SUCCESS); -} - -__STATIC_INLINE arm_status arm_mat_trans_32bit_4x4_mve(uint32_t * pDataSrc, uint32_t * pDataDest) -{ - /* - * 4x4 Matrix transposition - * is 4 x de-interleave operation - * - * 0 1 2 3 0 4 8 12 - * 4 5 6 7 1 5 9 13 - * 8 9 10 11 2 6 10 14 - * 12 13 14 15 3 7 11 15 - */ - - uint32x4x4_t vecIn; - - vecIn = vld4q((uint32_t const *) pDataSrc); - vstrwq(pDataDest, vecIn.val[0]); - pDataDest += 4; - vstrwq(pDataDest, vecIn.val[1]); - pDataDest += 4; - vstrwq(pDataDest, vecIn.val[2]); - pDataDest += 4; - vstrwq(pDataDest, vecIn.val[3]); - - return (ARM_MATH_SUCCESS); -} - - -__STATIC_INLINE arm_status arm_mat_trans_32bit_generic_mve( - uint16_t srcRows, - uint16_t srcCols, - uint32_t * pDataSrc, - uint32_t * pDataDest) -{ - uint32x4_t vecOffs; - uint32_t i; - uint32_t blkCnt; - uint32_t const *pDataC; - uint32_t *pDataDestR; - uint32x4_t vecIn; - - vecOffs = vidupq_u32((uint32_t)0, 1); - vecOffs = vecOffs * srcCols; - - i = srcCols; - do - { - pDataC = (uint32_t const *) pDataSrc; - pDataDestR = pDataDest; - - blkCnt = srcRows >> 2; - while (blkCnt > 0U) - { - vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); - vstrwq(pDataDestR, vecIn); - pDataDestR += 4; - pDataC = pDataC + srcCols * 4; - /* - * Decrement the blockSize loop counter - */ - blkCnt--; - } - - /* - * tail - */ - blkCnt = srcRows & 3; - if (blkCnt > 0U) - { - mve_pred16_t p0 = vctp32q(blkCnt); - vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); - vstrwq_p(pDataDestR, vecIn, p0); - } - - pDataSrc += 1; - pDataDest += srcRows; - } - while (--i); - - return (ARM_MATH_SUCCESS); -} - -__STATIC_INLINE arm_status arm_mat_cmplx_trans_32bit( - uint16_t srcRows, - uint16_t srcCols, - uint32_t *pDataSrc, - uint16_t dstRows, - uint16_t dstCols, - uint32_t *pDataDest) -{ - uint32_t i; - uint32_t const *pDataC; - uint32_t *pDataRow; - uint32_t *pDataDestR, *pDataDestRow; - uint32x4_t vecOffsRef, vecOffsCur; - uint32_t blkCnt; - uint32x4_t vecIn; - -#ifdef ARM_MATH_MATRIX_CHECK - /* - * Check for matrix mismatch condition - */ - if ((srcRows != dstCols) || (srcCols != dstRows)) - { - /* - * Set status as ARM_MATH_SIZE_MISMATCH - */ - return ARM_MATH_SIZE_MISMATCH; - } -#else - (void)dstRows; - (void)dstCols; -#endif - - /* 2x2, 3x3 and 4x4 specialization to be added */ - - vecOffsRef[0] = 0; - vecOffsRef[1] = 1; - vecOffsRef[2] = srcCols << 1; - vecOffsRef[3] = (srcCols << 1) + 1; - - pDataRow = pDataSrc; - pDataDestRow = pDataDest; - i = srcCols; - do - { - pDataC = (uint32_t const *) pDataRow; - pDataDestR = pDataDestRow; - vecOffsCur = vecOffsRef; - - blkCnt = (srcRows * CMPLX_DIM) >> 2; - while (blkCnt > 0U) - { - vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur); - vstrwq(pDataDestR, vecIn); - pDataDestR += 4; - vecOffsCur = vaddq_n_u32(vecOffsCur, (srcCols << 2)); - /* - * Decrement the blockSize loop counter - */ - blkCnt--; - } - /* - * tail - * (will be merged thru tail predication) - */ - blkCnt = (srcRows * CMPLX_DIM) & 3; - if (blkCnt > 0U) - { - mve_pred16_t p0 = vctp32q(blkCnt); - vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur); - vstrwq_p(pDataDestR, vecIn, p0); - } - - pDataRow += CMPLX_DIM; - pDataDestRow += (srcRows * CMPLX_DIM); - } - while (--i); - - return (ARM_MATH_SUCCESS); -} - -__STATIC_INLINE arm_status arm_mat_trans_16bit_2x2(uint16_t * pDataSrc, uint16_t * pDataDest) -{ - pDataDest[0] = pDataSrc[0]; - pDataDest[3] = pDataSrc[3]; - pDataDest[2] = pDataSrc[1]; - pDataDest[1] = pDataSrc[2]; - - return (ARM_MATH_SUCCESS); -} - -__STATIC_INLINE arm_status arm_mat_trans_16bit_3x3_mve(uint16_t * pDataSrc, uint16_t * pDataDest) -{ - static const uint16_t stridesTr33[8] = { 0, 3, 6, 1, 4, 7, 2, 5 }; - uint16x8_t vecOffs1; - uint16x8_t vecIn1; - /* - * - * | 0 1 2 | | 0 3 6 | 8 x 16 flattened version | 0 3 6 1 4 7 2 5 | - * | 3 4 5 | => | 1 4 7 | => | 8 . . . . . . . | - * | 6 7 8 | | 2 5 8 | (row major) - * - */ - vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr33); - vecIn1 = vldrhq_u16((uint16_t const *) pDataSrc); - - vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1); - - pDataDest[8] = pDataSrc[8]; - - return (ARM_MATH_SUCCESS); -} - - -__STATIC_INLINE arm_status arm_mat_trans_16bit_4x4_mve(uint16_t * pDataSrc, uint16_t * pDataDest) -{ - static const uint16_t stridesTr44_1[8] = { 0, 4, 8, 12, 1, 5, 9, 13 }; - static const uint16_t stridesTr44_2[8] = { 2, 6, 10, 14, 3, 7, 11, 15 }; - uint16x8_t vecOffs1, vecOffs2; - uint16x8_t vecIn1, vecIn2; - uint16_t const * pDataSrcVec = (uint16_t const *) pDataSrc; - - /* - * 4x4 Matrix transposition - * - * | 0 1 2 3 | | 0 4 8 12 | 8 x 16 flattened version - * | 4 5 6 7 | => | 1 5 9 13 | => [0 4 8 12 1 5 9 13] - * | 8 9 10 11 | | 2 6 10 14 | [2 6 10 14 3 7 11 15] - * | 12 13 14 15 | | 3 7 11 15 | - */ - - vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr44_1); - vecOffs2 = vldrhq_u16((uint16_t const *) stridesTr44_2); - vecIn1 = vldrhq_u16(pDataSrcVec); - pDataSrcVec += 8; - vecIn2 = vldrhq_u16(pDataSrcVec); - - vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1); - vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs2, vecIn2); - - - return (ARM_MATH_SUCCESS); -} - - - -__STATIC_INLINE arm_status arm_mat_trans_16bit_generic( - uint16_t srcRows, - uint16_t srcCols, - uint16_t * pDataSrc, - uint16_t * pDataDest) -{ - uint16x8_t vecOffs; - uint32_t i; - uint32_t blkCnt; - uint16_t const *pDataC; - uint16_t *pDataDestR; - uint16x8_t vecIn; - - vecOffs = vidupq_u16((uint32_t)0, 1); - vecOffs = vecOffs * srcCols; - - i = srcCols; - while(i > 0U) - { - pDataC = (uint16_t const *) pDataSrc; - pDataDestR = pDataDest; - - blkCnt = srcRows >> 3; - while (blkCnt > 0U) - { - vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs); - vstrhq_u16(pDataDestR, vecIn); - pDataDestR += 8; - pDataC = pDataC + srcCols * 8; - /* - * Decrement the blockSize loop counter - */ - blkCnt--; - } - - /* - * tail - */ - blkCnt = srcRows & 7; - if (blkCnt > 0U) - { - mve_pred16_t p0 = vctp16q(blkCnt); - vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs); - vstrhq_p_u16(pDataDestR, vecIn, p0); - } - pDataSrc += 1; - pDataDest += srcRows; - i--; - } - - return (ARM_MATH_SUCCESS); -} - - -__STATIC_INLINE arm_status arm_mat_cmplx_trans_16bit( - uint16_t srcRows, - uint16_t srcCols, - uint16_t *pDataSrc, - uint16_t dstRows, - uint16_t dstCols, - uint16_t *pDataDest) -{ - static const uint16_t loadCmplxCol[8] = { 0, 0, 1, 1, 2, 2, 3, 3 }; - int i; - uint16x8_t vecOffsRef, vecOffsCur; - uint16_t const *pDataC; - uint16_t *pDataRow; - uint16_t *pDataDestR, *pDataDestRow; - uint32_t blkCnt; - uint16x8_t vecIn; - -#ifdef ARM_MATH_MATRIX_CHECK - /* - * Check for matrix mismatch condition - */ - if ((srcRows != dstCols) || (srcCols != dstRows)) - { - /* - * Set status as ARM_MATH_SIZE_MISMATCH - */ - return ARM_MATH_SIZE_MISMATCH; - } -#else - (void)dstRows; - (void)dstCols; -#endif - - /* - * 2x2, 3x3 and 4x4 specialization to be added - */ - - - /* - * build [0, 1, 2xcol, 2xcol+1, 4xcol, 4xcol+1, 6xcol, 6xcol+1] - */ - vecOffsRef = vldrhq_u16((uint16_t const *) loadCmplxCol); - vecOffsRef = vmulq_n_u16(vecOffsRef, (uint16_t) (srcCols * CMPLX_DIM)) - + viwdupq_u16((uint32_t)0, (uint16_t) 2, 1); - - pDataRow = pDataSrc; - pDataDestRow = pDataDest; - i = srcCols; - do - { - pDataC = (uint16_t const *) pDataRow; - pDataDestR = pDataDestRow; - vecOffsCur = vecOffsRef; - - blkCnt = (srcRows * CMPLX_DIM) >> 3; - while (blkCnt > 0U) - { - vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur); - vstrhq(pDataDestR, vecIn); - pDataDestR+= 8; // VEC_LANES_U16 - vecOffsCur = vaddq_n_u16(vecOffsCur, (srcCols << 3)); - /* - * Decrement the blockSize loop counter - */ - blkCnt--; - } - /* - * tail - * (will be merged thru tail predication) - */ - blkCnt = (srcRows * CMPLX_DIM) & 0x7; - if (blkCnt > 0U) - { - mve_pred16_t p0 = vctp16q(blkCnt); - vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur); - vstrhq_p(pDataDestR, vecIn, p0); - } - - pDataRow += CMPLX_DIM; - pDataDestRow += (srcRows * CMPLX_DIM); - } - while (--i); - - return (ARM_MATH_SUCCESS); -} -#endif /* MVEF and MVEI */ - -/*************************************** - -Definitions available for MVEI only - -***************************************/ -#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE) - -#include "arm_common_tables.h" - -#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff) -#define MVE_ASRL_SAT32(acc, shift) ((sqrshrl(acc, -(32-shift)) >> 32) & 0xffffffff) - - -__STATIC_INLINE q31x4_t FAST_VSQRT_Q31(q31x4_t vecIn) -{ - q63x2_t vecTmpLL; - q31x4_t vecTmp0, vecTmp1; - q31_t scale; - q63_t tmp64; - q31x4_t vecNrm, vecDst, vecIdx, vecSignBits; - - - vecSignBits = vclsq(vecIn); - vecSignBits = vbicq_n_s32(vecSignBits, 1); - /* - * in = in << no_of_sign_bits; - */ - vecNrm = vshlq(vecIn, vecSignBits); - /* - * index = in >> 24; - */ - vecIdx = vecNrm >> 24; - vecIdx = vecIdx << 1; - - vecTmp0 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, (uint32x4_t)vecIdx); - - vecIdx = vecIdx + 1; - - vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, (uint32x4_t)vecIdx); - - vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); - vecTmp0 = vecTmp0 - vecTmp1; - vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); - vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); - vecTmp1 = vdupq_n_s32(0x18000000) - vecTmp1; - vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); - vecTmpLL = vmullbq_int(vecNrm, vecTmp0); - - /* - * scale elements 0, 2 - */ - scale = 26 + (vecSignBits[0] >> 1); - tmp64 = asrl(vecTmpLL[0], scale); - vecDst[0] = (q31_t) tmp64; - - scale = 26 + (vecSignBits[2] >> 1); - tmp64 = asrl(vecTmpLL[1], scale); - vecDst[2] = (q31_t) tmp64; - - vecTmpLL = vmulltq_int(vecNrm, vecTmp0); - - /* - * scale elements 1, 3 - */ - scale = 26 + (vecSignBits[1] >> 1); - tmp64 = asrl(vecTmpLL[0], scale); - vecDst[1] = (q31_t) tmp64; - - scale = 26 + (vecSignBits[3] >> 1); - tmp64 = asrl(vecTmpLL[1], scale); - vecDst[3] = (q31_t) tmp64; - /* - * set negative values to 0 - */ - vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s32(vecIn, 0)); - - return vecDst; -} - -__STATIC_INLINE q15x8_t FAST_VSQRT_Q15(q15x8_t vecIn) -{ - q31x4_t vecTmpLev, vecTmpLodd, vecSignL; - q15x8_t vecTmp0, vecTmp1; - q15x8_t vecNrm, vecDst, vecIdx, vecSignBits; - - vecDst = vuninitializedq_s16(); - - vecSignBits = vclsq(vecIn); - vecSignBits = vbicq_n_s16(vecSignBits, 1); - /* - * in = in << no_of_sign_bits; - */ - vecNrm = vshlq(vecIn, vecSignBits); - - vecIdx = vecNrm >> 8; - vecIdx = vecIdx << 1; - - vecTmp0 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, (uint16x8_t)vecIdx); - - vecIdx = vecIdx + 1; - - vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, (uint16x8_t)vecIdx); - - vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); - vecTmp0 = vecTmp0 - vecTmp1; - vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); - vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); - vecTmp1 = vdupq_n_s16(0x1800) - vecTmp1; - vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); - - vecSignBits = vecSignBits >> 1; - - vecTmpLev = vmullbq_int(vecNrm, vecTmp0); - vecTmpLodd = vmulltq_int(vecNrm, vecTmp0); - - vecTmp0 = vecSignBits + 10; - /* - * negate sign to apply register based vshl - */ - vecTmp0 = -vecTmp0; - - /* - * shift even elements - */ - vecSignL = vmovlbq(vecTmp0); - vecTmpLev = vshlq(vecTmpLev, vecSignL); - /* - * shift odd elements - */ - vecSignL = vmovltq(vecTmp0); - vecTmpLodd = vshlq(vecTmpLodd, vecSignL); - /* - * merge and narrow odd and even parts - */ - vecDst = vmovnbq_s32(vecDst, vecTmpLev); - vecDst = vmovntq_s32(vecDst, vecTmpLodd); - /* - * set negative values to 0 - */ - vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s16(vecIn, 0)); - - return vecDst; -} - -#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) */ - -#ifdef __cplusplus -} -#endif - -#endif diff --git a/third_party/cmsis-dsp/Include/arm_math.h b/third_party/cmsis-dsp/Include/arm_math.h deleted file mode 100644 index 0e9ca59..0000000 --- a/third_party/cmsis-dsp/Include/arm_math.h +++ /dev/null @@ -1,80 +0,0 @@ -/****************************************************************************** - * @file arm_math.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef ARM_MATH_H -#define ARM_MATH_H - - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/basic_math_functions.h" -#include "dsp/interpolation_functions.h" -#include "dsp/bayes_functions.h" -#include "dsp/matrix_functions.h" -#include "dsp/complex_math_functions.h" -#include "dsp/statistics_functions.h" -#include "dsp/controller_functions.h" -#include "dsp/support_functions.h" -#include "dsp/distance_functions.h" -#include "dsp/svm_functions.h" -#include "dsp/fast_math_functions.h" -#include "dsp/transform_functions.h" -#include "dsp/filtering_functions.h" -#include "dsp/quaternion_math_functions.h" -#include "dsp/window_functions.h" - - - -#ifdef __cplusplus -extern "C" -{ -#endif - - - - -//#define TABLE_SPACING_Q31 0x400000 -//#define TABLE_SPACING_Q15 0x80 - - - - - -#ifdef __cplusplus -} -#endif - - -#endif /* _ARM_MATH_H */ - -/** - * - * End of file. - */ diff --git a/third_party/cmsis-dsp/Include/arm_math_memory.h b/third_party/cmsis-dsp/Include/arm_math_memory.h deleted file mode 100755 index 43dfcbd..0000000 --- a/third_party/cmsis-dsp/Include/arm_math_memory.h +++ /dev/null @@ -1,224 +0,0 @@ -/****************************************************************************** - * @file arm_math_memory.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_MATH_MEMORY_H_ - -#define ARM_MATH_MEMORY_H_ - -#include "arm_math_types.h" - -/* Size are in bytes */ -#if !defined(ARM_MATH_L1_CACHE_SIZE) -#define ARM_MATH_L1_CACHE_SIZE (16*1024) -#endif - -#if !defined(ARM_MATH_L2_CACHE_SIZE) -#define ARM_MATH_L2_CACHE_SIZE (128*1024) -#endif - -#if !defined(ARM_MATH_L3_CACHE_SIZE) -#define ARM_MATH_L3_CACHE_SIZE (512*1024) -#endif - -#if defined(ARM_MATH_NEON) - - -extern char ARM_CACHE_PACKEDB[]; -extern char ARM_CACHE_PACKEDA[]; -// PACKEDC contains the accumulators -extern char ARM_CACHE_PACKEDC[]; -#endif - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - @brief definition to read/write two 16 bit values. - @deprecated - */ -#if defined ( __CC_ARM ) - #define __SIMD32_TYPE int32_t __packed -#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) - #define __SIMD32_TYPE int32_t -#elif defined ( __GNUC__ ) - #define __SIMD32_TYPE int32_t -#elif defined ( __ICCARM__ ) - #define __SIMD32_TYPE int32_t __packed -#elif defined ( __TI_ARM__ ) - #define __SIMD32_TYPE int32_t -#elif defined ( __CSMC__ ) - #define __SIMD32_TYPE int32_t -#elif defined ( __TASKING__ ) - #define __SIMD32_TYPE __un(aligned) int32_t -#elif defined(_MSC_VER ) - #define __SIMD32_TYPE int32_t -#else - #error Unknown compiler -#endif - -#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr)) -#define __SIMD32_CONST(addr) ( (__SIMD32_TYPE * ) (addr)) -#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE * ) (addr)) -#define __SIMD64(addr) (*( int64_t **) & (addr)) - - -/* SIMD replacement */ - - -/** - @brief Read 2 Q15 from Q15 pointer. - @param[in] pQ15 points to input value - @return Q31 value - */ -__STATIC_FORCEINLINE q31_t read_q15x2 ( - q15_t const * pQ15) -{ - q31_t val; - -#ifdef __ARM_FEATURE_UNALIGNED - memcpy (&val, pQ15, 4); -#else - val = (pQ15[1] << 16) | (pQ15[0] & 0x0FFFF) ; -#endif - - return (val); -} - -/** - @brief Read 2 Q15 from Q15 pointer and increment pointer afterwards. - @param[in] pQ15 points to input value - @return Q31 value - */ -#define read_q15x2_ia(pQ15) read_q15x2((*(pQ15) += 2) - 2) - -/** - @brief Read 2 Q15 from Q15 pointer and decrement pointer afterwards. - @param[in] pQ15 points to input value - @return Q31 value - */ -#define read_q15x2_da(pQ15) read_q15x2((*(pQ15) -= 2) + 2) - -/** - @brief Write 2 Q15 to Q15 pointer and increment pointer afterwards. - @param[in] pQ15 points to input value - @param[in] value Q31 value - */ -__STATIC_FORCEINLINE void write_q15x2_ia ( - q15_t ** pQ15, - q31_t value) -{ - q31_t val = value; -#ifdef __ARM_FEATURE_UNALIGNED - memcpy (*pQ15, &val, 4); -#else - (*pQ15)[0] = (q15_t)(val & 0x0FFFF); - (*pQ15)[1] = (q15_t)((val >> 16) & 0x0FFFF); -#endif - - *pQ15 += 2; -} - -/** - @brief Write 2 Q15 to Q15 pointer. - @param[in] pQ15 points to input value - @param[in] value Q31 value - */ -__STATIC_FORCEINLINE void write_q15x2 ( - q15_t * pQ15, - q31_t value) -{ - q31_t val = value; - -#ifdef __ARM_FEATURE_UNALIGNED - memcpy (pQ15, &val, 4); -#else - pQ15[0] = (q15_t)(val & 0x0FFFF); - pQ15[1] = (q15_t)(val >> 16); -#endif -} - - -/** - @brief Read 4 Q7 from Q7 pointer - @param[in] pQ7 points to input value - @return Q31 value - */ -__STATIC_FORCEINLINE q31_t read_q7x4 ( - q7_t const * pQ7) -{ - q31_t val; - -#ifdef __ARM_FEATURE_UNALIGNED - memcpy (&val, pQ7, 4); -#else - val =((pQ7[3] & 0x0FF) << 24) | ((pQ7[2] & 0x0FF) << 16) | ((pQ7[1] & 0x0FF) << 8) | (pQ7[0] & 0x0FF); -#endif - return (val); -} - -/** - @brief Read 4 Q7 from Q7 pointer and increment pointer afterwards. - @param[in] pQ7 points to input value - @return Q31 value - */ -#define read_q7x4_ia(pQ7) read_q7x4((*(pQ7) += 4) - 4) - -/** - @brief Read 4 Q7 from Q7 pointer and decrement pointer afterwards. - @param[in] pQ7 points to input value - @return Q31 value - */ -#define read_q7x4_da(pQ7) read_q7x4((*(pQ7) -= 4) + 4) - -/** - @brief Write 4 Q7 to Q7 pointer and increment pointer afterwards. - @param[in] pQ7 points to input value - @param[in] value Q31 value - */ -__STATIC_FORCEINLINE void write_q7x4_ia ( - q7_t ** pQ7, - q31_t value) -{ - q31_t val = value; -#ifdef __ARM_FEATURE_UNALIGNED - memcpy (*pQ7, &val, 4); -#else - (*pQ7)[0] = (q7_t)(val & 0x0FF); - (*pQ7)[1] = (q7_t)((val >> 8) & 0x0FF); - (*pQ7)[2] = (q7_t)((val >> 16) & 0x0FF); - (*pQ7)[3] = (q7_t)((val >> 24) & 0x0FF); - -#endif - *pQ7 += 4; -} - - -#ifdef __cplusplus -} -#endif - -#endif /*ifndef _ARM_MATH_MEMORY_H_ */ diff --git a/third_party/cmsis-dsp/Include/arm_math_types.h b/third_party/cmsis-dsp/Include/arm_math_types.h deleted file mode 100755 index a7a0d21..0000000 --- a/third_party/cmsis-dsp/Include/arm_math_types.h +++ /dev/null @@ -1,729 +0,0 @@ -/****************************************************************************** - * @file arm_math_types.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_MATH_TYPES_H_ - -#define ARM_MATH_TYPES_H_ - -#if defined(ARM_DSP_CUSTOM_CONFIG) -#include "arm_dsp_config.h" -#endif - -#ifndef ARM_DSP_ATTRIBUTE -#define ARM_DSP_ATTRIBUTE -#endif - -#ifndef ARM_DSP_TABLE_ATTRIBUTE -#define ARM_DSP_TABLE_ATTRIBUTE -#endif - -#ifdef __cplusplus -#include -#include -#include -#include -#include -extern "C" -{ -#else -#include -#include -#include -#include -#include -#endif - -/* Compiler specific diagnostic adjustment */ -#if defined ( __CC_ARM ) - -#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) - -#elif defined ( __APPLE_CC__ ) - #pragma GCC diagnostic ignored "-Wold-style-cast" - -#elif defined(__clang__) - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wsign-conversion" - #pragma GCC diagnostic ignored "-Wconversion" - #pragma GCC diagnostic ignored "-Wunused-parameter" - -#elif defined ( __GNUC__ ) - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wsign-conversion" - #pragma GCC diagnostic ignored "-Wconversion" - #pragma GCC diagnostic ignored "-Wunused-parameter" - // Disable some code having issue with GCC - #define ARM_DSP_BUILT_WITH_GCC - -#elif defined ( __ICCARM__ ) - -#elif defined ( __TI_ARM__ ) - -#elif defined ( __CSMC__ ) - -#elif defined ( __TASKING__ ) - -#elif defined ( _MSC_VER ) - -#else - #error Unknown compiler -#endif - - -/* Included for intrinsics definitions */ -#if defined (_MSC_VER ) -#define __STATIC_FORCEINLINE static __forceinline -#define __STATIC_INLINE static __inline -#define __ALIGNED(x) __declspec(align(x)) -#define __WEAK -#define SECTION_NOINIT -#define NO_INLINE __declspec(noinline) - - -#elif defined ( __APPLE_CC__ ) -#define __ALIGNED(x) __attribute__((aligned(x))) -#define __STATIC_FORCEINLINE static inline __attribute__((always_inline)) -#define __STATIC_INLINE static inline -#define __WEAK -#define SECTION_NOINIT -#define NO_INLINE __attribute__ ((noinline)) -#elif defined (__GNUC_PYTHON__) -#define __ALIGNED(x) __attribute__((aligned(x))) -#define __STATIC_FORCEINLINE static inline __attribute__((always_inline)) -#define __STATIC_INLINE static inline -#define __WEAK -#define SECTION_NOINIT __attribute__((section(".noinit"))) -#define NO_INLINE __attribute__ ((noinline)) - -#else -#define SECTION_NOINIT -#define NO_INLINE __attribute__ ((noinline)) - -#include "cmsis_compiler.h" -#endif - - - - - -/* evaluate ARM DSP feature */ -/* __GNUC_PYTHON__ is disabling dependency to CMSIS Core. - * As consequence, DSP intrinsics (defined in CMSIS Core) - * cannot be used anymore even if __ARM_FEATURE_DSP is defined. - * It is the only way to build on a target not supported - * by CMSIS Core. - * - * ARM_MATH_NEON is used to enable the Neon variants. - * When Neon variants are enabled, the DSP extension are disabled - * - */ -#if (!defined(__GNUC_PYTHON__) && !defined(ARM_MATH_NEON) && !defined(ARM_MATH_NEON_EXPERIMENTAL)) -#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) - #define ARM_MATH_DSP 1 -#endif -#endif - -#if defined(ARM_MATH_NEON) - #if defined(_MSC_VER) && defined(_M_ARM64EC) - #include - #else - #include - #endif - #if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC) && __ARM_FEATURE_FP16_VECTOR_ARITHMETIC - #if !defined(ARM_MATH_NEON_FLOAT16) - #define ARM_MATH_NEON_FLOAT16 - #endif - #endif -#endif - -#if !defined(ARM_MATH_AUTOVECTORIZE) - - -#if defined(__ARM_FEATURE_MVE) -#if __ARM_FEATURE_MVE - #if !defined(ARM_MATH_MVEI) - #define ARM_MATH_MVEI - #endif -#endif - -#if defined(__ARM_FEATURE_MVE) && (__ARM_FEATURE_MVE & 2) - #if !defined(ARM_MATH_MVEF) - #define ARM_MATH_MVEF - #endif - #if !defined(ARM_MATH_MVE_FLOAT16) - #define ARM_MATH_MVE_FLOAT16 - #endif -#endif - -#endif /* defined (__ARM_FEATURE_MVE) */ -#endif /* !defined (ARM_MATH_AUTOVECTORIZE) */ - - -#if defined (ARM_MATH_HELIUM) - #if !defined(ARM_MATH_MVEF) - #define ARM_MATH_MVEF - #endif - - #if !defined(ARM_MATH_MVEI) - #define ARM_MATH_MVEI - #endif - - #if !defined(ARM_MATH_MVE_FLOAT16) - #define ARM_MATH_MVE_FLOAT16 - #endif -#endif - - - -#if defined ( __CC_ARM ) - /* Enter low optimization region - place directly above function definition */ - #if defined( __ARM_ARCH_7EM__ ) - #define LOW_OPTIMIZATION_ENTER \ - _Pragma ("push") \ - _Pragma ("O1") - #else - #define LOW_OPTIMIZATION_ENTER - #endif - - /* Exit low optimization region - place directly after end of function definition */ - #if defined ( __ARM_ARCH_7EM__ ) - #define LOW_OPTIMIZATION_EXIT \ - _Pragma ("pop") - #else - #define LOW_OPTIMIZATION_EXIT - #endif - - /* Enter low optimization region - place directly above function definition */ - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - - /* Exit low optimization region - place directly after end of function definition */ - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __APPLE_CC__ ) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __GNUC__ ) - #define LOW_OPTIMIZATION_ENTER \ - __attribute__(( optimize("-O1") )) - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __ICCARM__ ) - /* Enter low optimization region - place directly above function definition */ - #if defined ( __ARM_ARCH_7EM__ ) - #define LOW_OPTIMIZATION_ENTER \ - _Pragma ("optimize=low") - #else - #define LOW_OPTIMIZATION_ENTER - #endif - - /* Exit low optimization region - place directly after end of function definition */ - #define LOW_OPTIMIZATION_EXIT - - /* Enter low optimization region - place directly above function definition */ - #if defined ( __ARM_ARCH_7EM__ ) - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ - _Pragma ("optimize=low") - #else - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #endif - - /* Exit low optimization region - place directly after end of function definition */ - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __TI_ARM__ ) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __CSMC__ ) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( __TASKING__ ) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT - -#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) - #define LOW_OPTIMIZATION_ENTER - #define LOW_OPTIMIZATION_EXIT - #define IAR_ONLY_LOW_OPTIMIZATION_ENTER - #define IAR_ONLY_LOW_OPTIMIZATION_EXIT -#endif - - - -/* Compiler specific diagnostic adjustment */ -#if defined ( __CC_ARM ) - -#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) - -#elif defined ( __APPLE_CC__ ) - -#elif defined ( __GNUC__ ) -#pragma GCC diagnostic pop - -#elif defined ( __ICCARM__ ) - -#elif defined ( __TI_ARM__ ) - -#elif defined ( __CSMC__ ) - -#elif defined ( __TASKING__ ) - -#elif defined ( _MSC_VER ) - -#else - #error Unknown compiler -#endif - -#ifdef __cplusplus -} -#endif - -#if defined(__ARM_FEATURE_MVE) && __ARM_FEATURE_MVE -#include -#endif - -#if defined(ARM_DSP_CONFIG_TABLES) -#error("-DARM_DSP_CONFIG_TABLES no more supported. Use the new initialization functions to let the linker optimize the code size.") -#endif - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup genericTypes Generic Types - * @{ -*/ - - /** - * @brief 8-bit fractional data type in 1.7 format. - */ - typedef int8_t q7_t; - - /** - * @brief 16-bit fractional data type in 1.15 format. - */ - typedef int16_t q15_t; - - /** - * @brief 32-bit fractional data type in 1.31 format. - */ - typedef int32_t q31_t; - - /** - * @brief 64-bit fractional data type in 1.63 format. - */ - typedef int64_t q63_t; - - /** - * @brief 32-bit floating-point type definition. - */ -#if !defined(__ICCARM__) || !defined(__ARM_FEATURE_MVE) || !(__ARM_FEATURE_MVE & 2) - typedef float float32_t; -#endif - - /** - * @brief 64-bit floating-point type definition. - */ - typedef double float64_t; - - /** - * @brief vector types - */ -#if defined(ARM_MATH_NEON) || (defined (ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)) - - /** - * @brief 64-bit fractional 128-bit vector data type in 1.63 format - */ - typedef int64x2_t q63x2_t; - - /** - * @brief 32-bit fractional 128-bit vector data type in 1.31 format. - */ - typedef int32x4_t q31x4_t; - - /** - * @brief 16-bit fractional 128-bit vector data type with 16-bit alignment in 1.15 format. - */ - typedef __ALIGNED(2) int16x8_t q15x8_t; - - /** - * @brief 8-bit fractional 128-bit vector data type with 8-bit alignment in 1.7 format. - */ - typedef __ALIGNED(1) int8x16_t q7x16_t; - - /** - * @brief 32-bit fractional 128-bit vector pair data type in 1.31 format. - */ - typedef int32x4x2_t q31x4x2_t; - - /** - * @brief 32-bit fractional 128-bit vector quadruplet data type in 1.31 format. - */ - typedef int32x4x4_t q31x4x4_t; - - /** - * @brief 16-bit fractional 128-bit vector pair data type in 1.15 format. - */ - typedef int16x8x2_t q15x8x2_t; - - /** - * @brief 16-bit fractional 128-bit vector quadruplet data type in 1.15 format. - */ - typedef int16x8x4_t q15x8x4_t; - - /** - * @brief 8-bit fractional 128-bit vector pair data type in 1.7 format. - */ - typedef int8x16x2_t q7x16x2_t; - - /** - * @brief 8-bit fractional 128-bit vector quadruplet data type in 1.7 format. - */ - typedef int8x16x4_t q7x16x4_t; - - /** - * @brief 32-bit fractional data type in 9.23 format. - */ - typedef int32_t q23_t; - - /** - * @brief 32-bit fractional 128-bit vector data type in 9.23 format. - */ - typedef int32x4_t q23x4_t; - - /** - * @brief 64-bit status 128-bit vector data type. - */ - typedef int64x2_t status64x2_t; - - /** - * @brief 32-bit status 128-bit vector data type. - */ - typedef int32x4_t status32x4_t; - - /** - * @brief 16-bit status 128-bit vector data type. - */ - typedef int16x8_t status16x8_t; - - /** - * @brief 8-bit status 128-bit vector data type. - */ - typedef int8x16_t status8x16_t; - - -#endif - -#if defined(ARM_MATH_NEON) || (defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)) /* floating point vector*/ - - /** - * @brief 32-bit floating-point 128-bit vector type - */ - typedef float32x4_t f32x4_t; - - /** - * @brief 32-bit floating-point 128-bit vector pair data type - */ - typedef float32x4x2_t f32x4x2_t; - - /** - * @brief 32-bit floating-point 128-bit vector quadruplet data type - */ - typedef float32x4x4_t f32x4x4_t; - - /** - * @brief 32-bit ubiquitous 128-bit vector data type - */ - typedef union _any32x4_t - { - float32x4_t f; - int32x4_t i; - } any32x4_t; - -#endif - -#if defined(ARM_MATH_NEON) - /** - * @brief 32-bit fractional 64-bit vector data type in 1.31 format. - */ - typedef int32x2_t q31x2_t; - - /** - * @brief 16-bit fractional 64-bit vector data type in 1.15 format. - */ - typedef __ALIGNED(2) int16x4_t q15x4_t; - - /** - * @brief 8-bit fractional 64-bit vector data type in 1.7 format. - */ - typedef __ALIGNED(1) int8x8_t q7x8_t; - - /** - * @brief 32-bit float 64-bit vector data type. - */ - typedef float32x2_t f32x2_t; - - /** - * @brief 32-bit floating-point 128-bit vector triplet data type - */ - typedef float32x4x3_t f32x4x3_t; - - /** - * @brief 32-bit fractional 128-bit vector triplet data type in 1.31 format - */ - typedef int32x4x3_t q31x4x3_t; - - /** - * @brief 16-bit fractional 128-bit vector triplet data type in 1.15 format - */ - typedef int16x8x3_t q15x8x3_t; - - /** - * @brief 8-bit fractional 128-bit vector triplet data type in 1.7 format - */ - typedef int8x16x3_t q7x16x3_t; - - /** - * @brief 32-bit floating-point 64-bit vector pair data type - */ - typedef float32x2x2_t f32x2x2_t; - - /** - * @brief 32-bit floating-point 64-bit vector triplet data type - */ - typedef float32x2x3_t f32x2x3_t; - - /** - * @brief 32-bit floating-point 64-bit vector quadruplet data type - */ - typedef float32x2x4_t f32x2x4_t; - - /** - * @brief 32-bit fractional 64-bit vector pair data type in 1.31 format - */ - typedef int32x2x2_t q31x2x2_t; - - /** - * @brief 32-bit fractional 64-bit vector triplet data type in 1.31 format - */ - typedef int32x2x3_t q31x2x3_t; - - /** - * @brief 32-bit fractional 64-bit vector quadruplet data type in 1.31 format - */ - typedef int32x4x3_t q31x2x4_t; - - /** - * @brief 16-bit fractional 64-bit vector pair data type in 1.15 format - */ - typedef int16x4x2_t q15x4x2_t; - - /** - * @brief 16-bit fractional 64-bit vector triplet data type in 1.15 format - */ - typedef int16x4x2_t q15x4x3_t; - - /** - * @brief 16-bit fractional 64-bit vector quadruplet data type in 1.15 format - */ - typedef int16x4x3_t q15x4x4_t; - - /** - * @brief 8-bit fractional 64-bit vector pair data type in 1.7 format - */ - typedef int8x8x2_t q7x8x2_t; - - /** - * @brief 8-bit fractional 64-bit vector triplet data type in 1.7 format - */ - typedef int8x8x3_t q7x8x3_t; - - /** - * @brief 8-bit fractional 64-bit vector quadruplet data type in 1.7 format - */ - typedef int8x8x4_t q7x8x4_t; - - /** - * @brief 32-bit ubiquitous 64-bit vector data type - */ - typedef union _any32x2_t - { - float32x2_t f; - int32x2_t i; - } any32x2_t; - - /** - * @brief 32-bit status 64-bit vector data type. - */ - typedef int32x4_t status32x2_t; - - /** - * @brief 16-bit status 64-bit vector data type. - */ - typedef int16x8_t status16x4_t; - - /** - * @brief 8-bit status 64-bit vector data type. - */ - typedef int8x16_t status8x8_t; - -#endif - - /** - * @ingroup genericTypes - */ - - /** - * @brief Error status returned by some functions in the library. - */ - typedef enum - { - ARM_MATH_SUCCESS = 0, /**< No error */ - ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */ - ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */ - ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation */ - ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */ - ARM_MATH_SINGULAR = -5, /**< Input matrix is singular and cannot be inverted */ - ARM_MATH_TEST_FAILURE = -6, /**< Test Failed */ - ARM_MATH_DECOMPOSITION_FAILURE = -7 /**< Decomposition Failed */ - } arm_status; - -/** - * @} // endgroup generic -*/ - - -#define F64_MAX ((float64_t)DBL_MAX) -#define F32_MAX ((float32_t)FLT_MAX) - - - -#define F64_MIN (-DBL_MAX) -#define F32_MIN (-FLT_MAX) - - - -#define F64_ABSMAX ((float64_t)DBL_MAX) -#define F32_ABSMAX ((float32_t)FLT_MAX) - - - -#define F64_ABSMIN ((float64_t)0.0) -#define F32_ABSMIN ((float32_t)0.0) - - -#define Q31_MAX ((q31_t)(0x7FFFFFFFL)) -#define Q15_MAX ((q15_t)(0x7FFF)) -#define Q7_MAX ((q7_t)(0x7F)) -#define Q31_MIN ((q31_t)(0x80000000L)) -#define Q15_MIN ((q15_t)(0x8000)) -#define Q7_MIN ((q7_t)(0x80)) - -#define Q31_ABSMAX ((q31_t)(0x7FFFFFFFL)) -#define Q15_ABSMAX ((q15_t)(0x7FFF)) -#define Q7_ABSMAX ((q7_t)(0x7F)) -#define Q31_ABSMIN ((q31_t)0) -#define Q15_ABSMIN ((q15_t)0) -#define Q7_ABSMIN ((q7_t)0) - - /* Dimension C vector space */ - #define CMPLX_DIM 2 - - /** - * @ingroup genericTypes - */ - /** - * @defgroup bufferSizeTypes Enumerations for transform buffer size functions - * @{ -*/ - -/** - * @brief Datatype identifier - */ -typedef enum { - ARM_MATH_F16 = 16, /**< f16 datatype identifier */ - ARM_MATH_F32 = 32, /**< f32 datatype identifier */ - ARM_MATH_F64 = 64, /**< f64 datatype identifier */ - ARM_MATH_Q7 = 7, /**< Q7 datatype identifier */ - ARM_MATH_Q15 = 15, /**< Q15 datatype identifier */ - ARM_MATH_Q31 = 31 /**< Q31 datatype identifier */ -} arm_math_datatype; - -/** - * @brief Architecture target identifier - * - * @note In case the target supports both DSP extensions and Neon extensions, only Neon extensions - * should be used as identification in the corresponding buffer functions. - */ - typedef enum { - ARM_MATH_SCALAR_ARCH = 1, /**< Identifier for Scalar build mode */ - ARM_MATH_DSP_EXTENSIONS_ARCH = 2, /**< Identifier for build mode with dsp extensions */ - ARM_MATH_HELIUM_ARCH = 3, /**< Identifier for build mode with Helium extensions */ - ARM_MATH_NEON_ARCH = 4 /**< Identifier for build mode with Neon extensions */ -} arm_math_target_arch; - -#if !defined(ARM_MATH_AUTOVECTORIZE) - #if defined(ARM_MATH_MVEI) || defined(ARM_MATH_MVEF) - #define ARM_MATH_DEFAULT_TARGET_ARCH ARM_MATH_HELIUM_ARCH - #elif defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL) - #define ARM_MATH_DEFAULT_TARGET_ARCH ARM_MATH_NEON_ARCH - #elif defined(ARM_MATH_DSP) - #define ARM_MATH_DEFAULT_TARGET_ARCH ARM_MATH_DSP_EXTENSIONS_ARCH - #else - #define ARM_MATH_DEFAULT_TARGET_ARCH ARM_MATH_SCALAR_ARCH - #endif -#else - #define ARM_MATH_DEFAULT_TARGET_ARCH ARM_MATH_SCALAR_ARCH -#endif - -/** - * @} // endgroup bufferSizeTypes -*/ - -#ifdef __cplusplus -} -#endif - -#endif /*ifndef _ARM_MATH_TYPES_H_ */ diff --git a/third_party/cmsis-dsp/Include/arm_mve_tables.h b/third_party/cmsis-dsp/Include/arm_mve_tables.h deleted file mode 100755 index aa58d7a..0000000 --- a/third_party/cmsis-dsp/Include/arm_mve_tables.h +++ /dev/null @@ -1,193 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_mve_tables.h - * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc - * used for MVE implementation only - * - * @version V1.10.0 - * @date 04 October 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - #ifndef ARM_MVE_TABLES_H - #define ARM_MVE_TABLES_H - -#include "arm_math_types.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - - - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]; -extern const float32_t rearranged_twiddle_stride1_16_f32[8]; -extern const float32_t rearranged_twiddle_stride2_16_f32[8]; -extern const float32_t rearranged_twiddle_stride3_16_f32[8]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]; -extern const float32_t rearranged_twiddle_stride1_64_f32[40]; -extern const float32_t rearranged_twiddle_stride2_64_f32[40]; -extern const float32_t rearranged_twiddle_stride3_64_f32[40]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]; -extern const float32_t rearranged_twiddle_stride1_256_f32[168]; -extern const float32_t rearranged_twiddle_stride2_256_f32[168]; -extern const float32_t rearranged_twiddle_stride3_256_f32[168]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]; -extern const float32_t rearranged_twiddle_stride1_1024_f32[680]; -extern const float32_t rearranged_twiddle_stride2_1024_f32[680]; -extern const float32_t rearranged_twiddle_stride3_1024_f32[680]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6]; -extern const float32_t rearranged_twiddle_stride1_4096_f32[2728]; -extern const float32_t rearranged_twiddle_stride2_4096_f32[2728]; -extern const float32_t rearranged_twiddle_stride3_4096_f32[2728]; - - -#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ - - - -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]; -extern const q31_t rearranged_twiddle_stride1_16_q31[8]; -extern const q31_t rearranged_twiddle_stride2_16_q31[8]; -extern const q31_t rearranged_twiddle_stride3_16_q31[8]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]; -extern const q31_t rearranged_twiddle_stride1_64_q31[40]; -extern const q31_t rearranged_twiddle_stride2_64_q31[40]; -extern const q31_t rearranged_twiddle_stride3_64_q31[40]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]; -extern const q31_t rearranged_twiddle_stride1_256_q31[168]; -extern const q31_t rearranged_twiddle_stride2_256_q31[168]; -extern const q31_t rearranged_twiddle_stride3_256_q31[168]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]; -extern const q31_t rearranged_twiddle_stride1_1024_q31[680]; -extern const q31_t rearranged_twiddle_stride2_1024_q31[680]; -extern const q31_t rearranged_twiddle_stride3_1024_q31[680]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]; -extern const q31_t rearranged_twiddle_stride1_4096_q31[2728]; -extern const q31_t rearranged_twiddle_stride2_4096_q31[2728]; -extern const q31_t rearranged_twiddle_stride3_4096_q31[2728]; - - - -#endif /* defined(ARM_MATH_MVEI) */ - - - -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]; -extern const q15_t rearranged_twiddle_stride1_16_q15[8]; -extern const q15_t rearranged_twiddle_stride2_16_q15[8]; -extern const q15_t rearranged_twiddle_stride3_16_q15[8]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]; -extern const q15_t rearranged_twiddle_stride1_64_q15[40]; -extern const q15_t rearranged_twiddle_stride2_64_q15[40]; -extern const q15_t rearranged_twiddle_stride3_64_q15[40]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]; -extern const q15_t rearranged_twiddle_stride1_256_q15[168]; -extern const q15_t rearranged_twiddle_stride2_256_q15[168]; -extern const q15_t rearranged_twiddle_stride3_256_q15[168]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]; -extern const q15_t rearranged_twiddle_stride1_1024_q15[680]; -extern const q15_t rearranged_twiddle_stride2_1024_q15[680]; -extern const q15_t rearranged_twiddle_stride3_1024_q15[680]; - - -extern const uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]; -extern const uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]; -extern const uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]; -extern const q15_t rearranged_twiddle_stride1_4096_q15[2728]; -extern const q15_t rearranged_twiddle_stride2_4096_q15[2728]; -extern const q15_t rearranged_twiddle_stride3_4096_q15[2728]; - - -#endif /* defined(ARM_MATH_MVEI) */ - - - -#ifdef __cplusplus -} -#endif - -#endif /*_ARM_MVE_TABLES_H*/ - diff --git a/third_party/cmsis-dsp/Include/dsp/basic_math_functions.h b/third_party/cmsis-dsp/Include/dsp/basic_math_functions.h deleted file mode 100755 index 645afdc..0000000 --- a/third_party/cmsis-dsp/Include/dsp/basic_math_functions.h +++ /dev/null @@ -1,864 +0,0 @@ -/****************************************************************************** - * @file basic_math_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef BASIC_MATH_FUNCTIONS_H_ -#define BASIC_MATH_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupMath Basic Math Functions - */ - - /** - * @brief Q7 vector multiplication. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_mult_q7( - const q7_t * pSrcA, - const q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q15 vector multiplication. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_mult_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q31 vector multiplication. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_mult_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Floating-point vector multiplication. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_mult_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize); - - - -/** - * @brief Floating-point vector multiplication. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ -void arm_mult_f64( -const float64_t * pSrcA, -const float64_t * pSrcB, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Floating-point vector addition. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_add_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize); - - - -/** - * @brief Floating-point vector addition. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_add_f64( - const float64_t * pSrcA, - const float64_t * pSrcB, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Q7 vector addition. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_add_q7( - const q7_t * pSrcA, - const q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q15 vector addition. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_add_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q31 vector addition. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_add_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Floating-point vector subtraction. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_sub_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Floating-point vector subtraction. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_sub_f64( - const float64_t * pSrcA, - const float64_t * pSrcB, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Q7 vector subtraction. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_sub_q7( - const q7_t * pSrcA, - const q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q15 vector subtraction. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_sub_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q31 vector subtraction. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_sub_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Multiplies a floating-point vector by a scalar. - * @param[in] pSrc points to the input vector - * @param[in] scale scale factor to be applied - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_scale_f32( - const float32_t * pSrc, - float32_t scale, - float32_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Multiplies a floating-point vector by a scalar. - * @param[in] pSrc points to the input vector - * @param[in] scale scale factor to be applied - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_scale_f64( - const float64_t * pSrc, - float64_t scale, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Multiplies a Q7 vector by a scalar. - * @param[in] pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_scale_q7( - const q7_t * pSrc, - q7_t scaleFract, - int8_t shift, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Multiplies a Q15 vector by a scalar. - * @param[in] pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_scale_q15( - const q15_t * pSrc, - q15_t scaleFract, - int8_t shift, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Multiplies a Q31 vector by a scalar. - * @param[in] pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_scale_q31( - const q31_t * pSrc, - q31_t scaleFract, - int8_t shift, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q7 vector absolute value. - * @param[in] pSrc points to the input buffer - * @param[out] pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - */ - void arm_abs_q7( - const q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Floating-point vector absolute value. - * @param[in] pSrc points to the input buffer - * @param[out] pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - */ - void arm_abs_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - -/** - * @brief Floating-point vector absolute value. - * @param[in] pSrc points to the input buffer - * @param[out] pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - */ -void arm_abs_f64( -const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Q15 vector absolute value. - * @param[in] pSrc points to the input buffer - * @param[out] pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - */ - void arm_abs_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Q31 vector absolute value. - * @param[in] pSrc points to the input buffer - * @param[out] pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - */ - void arm_abs_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Dot product of floating-point vectors. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] result output result returned here - */ - void arm_dot_prod_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - uint32_t blockSize, - float32_t * result); - - - -/** - * @brief Dot product of floating-point vectors. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] result output result returned here - */ -void arm_dot_prod_f64( -const float64_t * pSrcA, -const float64_t * pSrcB, - uint32_t blockSize, - float64_t * result); - - - - /** - * @brief Dot product of Q7 vectors. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] result output result returned here - */ - void arm_dot_prod_q7( - const q7_t * pSrcA, - const q7_t * pSrcB, - uint32_t blockSize, - q31_t * result); - - - /** - * @brief Dot product of Q15 vectors. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] result output result returned here - */ - void arm_dot_prod_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - uint32_t blockSize, - q63_t * result); - - - /** - * @brief Dot product of Q31 vectors. - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] result output result returned here - */ - void arm_dot_prod_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - uint32_t blockSize, - q63_t * result); - - - /** - * @brief Shifts the elements of a Q7 vector a specified number of bits. - * @param[in] pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_shift_q7( - const q7_t * pSrc, - int8_t shiftBits, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Shifts the elements of a Q15 vector a specified number of bits. - * @param[in] pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_shift_q15( - const q15_t * pSrc, - int8_t shiftBits, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Shifts the elements of a Q31 vector a specified number of bits. - * @param[in] pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_shift_q31( - const q31_t * pSrc, - int8_t shiftBits, - q31_t * pDst, - uint32_t blockSize); - - -/** - * @brief Adds a constant offset to a floating-point vector. - * @param[in] pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ -void arm_offset_f64( -const float64_t * pSrc, - float64_t offset, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Adds a constant offset to a floating-point vector. - * @param[in] pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_offset_f32( - const float32_t * pSrc, - float32_t offset, - float32_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Adds a constant offset to a Q7 vector. - * @param[in] pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_offset_q7( - const q7_t * pSrc, - q7_t offset, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Adds a constant offset to a Q15 vector. - * @param[in] pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_offset_q15( - const q15_t * pSrc, - q15_t offset, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Adds a constant offset to a Q31 vector. - * @param[in] pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_offset_q31( - const q31_t * pSrc, - q31_t offset, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Negates the elements of a floating-point vector. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_negate_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - -/** - * @brief Negates the elements of a floating-point vector. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ -void arm_negate_f64( -const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Negates the elements of a Q7 vector. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_negate_q7( - const q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Negates the elements of a Q15 vector. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_negate_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Negates the elements of a Q31 vector. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] blockSize number of samples in the vector - */ - void arm_negate_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - -/** - * @brief Compute the logical bitwise AND of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_and_u16( - const uint16_t * pSrcA, - const uint16_t * pSrcB, - uint16_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise AND of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_and_u32( - const uint32_t * pSrcA, - const uint32_t * pSrcB, - uint32_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise AND of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_and_u8( - const uint8_t * pSrcA, - const uint8_t * pSrcB, - uint8_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise OR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_or_u16( - const uint16_t * pSrcA, - const uint16_t * pSrcB, - uint16_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise OR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_or_u32( - const uint32_t * pSrcA, - const uint32_t * pSrcB, - uint32_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise OR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_or_u8( - const uint8_t * pSrcA, - const uint8_t * pSrcB, - uint8_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise NOT of a fixed-point vector. - * @param[in] pSrc points to input vector - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_not_u16( - const uint16_t * pSrc, - uint16_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise NOT of a fixed-point vector. - * @param[in] pSrc points to input vector - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_not_u32( - const uint32_t * pSrc, - uint32_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise NOT of a fixed-point vector. - * @param[in] pSrc points to input vector - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_not_u8( - const uint8_t * pSrc, - uint8_t * pDst, - uint32_t blockSize); - -/** - * @brief Compute the logical bitwise XOR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_xor_u16( - const uint16_t * pSrcA, - const uint16_t * pSrcB, - uint16_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise XOR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_xor_u32( - const uint32_t * pSrcA, - const uint32_t * pSrcB, - uint32_t * pDst, - uint32_t blockSize); - - /** - * @brief Compute the logical bitwise XOR of two fixed-point vectors. - * @param[in] pSrcA points to input vector A - * @param[in] pSrcB points to input vector B - * @param[out] pDst points to output vector - * @param[in] blockSize number of samples in each vector - */ - void arm_xor_u8( - const uint8_t * pSrcA, - const uint8_t * pSrcB, - uint8_t * pDst, - uint32_t blockSize); - - /** - @brief Elementwise floating-point clipping - @param[in] pSrc points to input values - @param[out] pDst points to output clipped values - @param[in] low lower bound - @param[in] high higher bound - @param[in] numSamples number of samples to clip - */ - -void arm_clip_f32(const float32_t * pSrc, - float32_t * pDst, - float32_t low, - float32_t high, - uint32_t numSamples); - - /** - @brief Elementwise fixed-point clipping - @param[in] pSrc points to input values - @param[out] pDst points to output clipped values - @param[in] low lower bound - @param[in] high higher bound - @param[in] numSamples number of samples to clip - */ - -void arm_clip_q31(const q31_t * pSrc, - q31_t * pDst, - q31_t low, - q31_t high, - uint32_t numSamples); - - /** - @brief Elementwise fixed-point clipping - @param[in] pSrc points to input values - @param[out] pDst points to output clipped values - @param[in] low lower bound - @param[in] high higher bound - @param[in] numSamples number of samples to clip - */ - -void arm_clip_q15(const q15_t * pSrc, - q15_t * pDst, - q15_t low, - q15_t high, - uint32_t numSamples); - - /** - @brief Elementwise fixed-point clipping - @param[in] pSrc points to input values - @param[out] pDst points to output clipped values - @param[in] low lower bound - @param[in] high higher bound - @param[in] numSamples number of samples to clip - */ - -void arm_clip_q7(const q7_t * pSrc, - q7_t * pDst, - q7_t low, - q7_t high, - uint32_t numSamples); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _BASIC_MATH_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/bayes_functions.h b/third_party/cmsis-dsp/Include/dsp/bayes_functions.h deleted file mode 100755 index 7b3e0ef..0000000 --- a/third_party/cmsis-dsp/Include/dsp/bayes_functions.h +++ /dev/null @@ -1,86 +0,0 @@ -/****************************************************************************** - * @file bayes_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef BAYES_FUNCTIONS_H_ -#define BAYES_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/statistics_functions.h" - -/** - * @defgroup groupBayes Bayesian estimators - * - * Implement the naive gaussian Bayes estimator. - * The training must be done from scikit-learn. - * - * The parameters can be easily - * generated from the scikit-learn object. Some examples are given in - * DSP/Testing/PatternGeneration/Bayes.py - */ - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @brief Instance structure for Naive Gaussian Bayesian estimator. - */ -typedef struct -{ - uint32_t vectorDimension; /**< Dimension of vector space */ - uint32_t numberOfClasses; /**< Number of different classes */ - const float32_t *theta; /**< Mean values for the Gaussians */ - const float32_t *sigma; /**< Variances for the Gaussians */ - const float32_t *classPriors; /**< Class prior probabilities */ - float32_t epsilon; /**< Additive value to variances */ -} arm_gaussian_naive_bayes_instance_f32; - -/** - * @brief Naive Gaussian Bayesian Estimator - * - * @param[in] S points to a naive bayes instance structure - * @param[in] in points to the elements of the input vector. - * @param[out] *pOutputProbabilities points to a buffer of length numberOfClasses containing estimated probabilities - * @param[out] *pBufferB points to a temporary buffer of length numberOfClasses - * @return The predicted class - */ -uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, - const float32_t * in, - float32_t *pOutputProbabilities, - float32_t *pBufferB); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _BAYES_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/complex_math_functions.h b/third_party/cmsis-dsp/Include/dsp/complex_math_functions.h deleted file mode 100755 index bdbc2a4..0000000 --- a/third_party/cmsis-dsp/Include/dsp/complex_math_functions.h +++ /dev/null @@ -1,345 +0,0 @@ -/****************************************************************************** - * @file complex_math_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef COMPLEX_MATH_FUNCTIONS_H_ -#define COMPLEX_MATH_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" -#include "dsp/fast_math_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupCmplxMath Complex Math Functions - * This set of functions operates on complex data vectors. - * The data in the complex arrays is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * In the API functions, the number of samples in a complex array refers - * to the number of complex values; the array contains twice this number of - * real values. - */ - - /** - * @brief Floating-point complex conjugate. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_conj_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples); - - /** - * @brief Q31 complex conjugate. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_conj_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q15 complex conjugate. - * @param[in] pSrc points to the input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_conj_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples); - - - /** - * @brief Floating-point complex magnitude squared - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_squared_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples); - - - /** - * @brief Floating-point complex magnitude squared - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_squared_f64( - const float64_t * pSrc, - float64_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q31 complex magnitude squared - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_squared_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q15 complex magnitude squared - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_squared_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples); - - -/** - * @brief Floating-point complex magnitude - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples); - - -/** - * @brief Floating-point complex magnitude - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_f64( - const float64_t * pSrc, - float64_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q31 complex magnitude - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q15 complex magnitude - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples); - - /** - * @brief Q15 complex magnitude - * @param[in] pSrc points to the complex input vector - * @param[out] pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - */ - void arm_cmplx_mag_fast_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q15 complex dot product - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] numSamples number of complex samples in each vector - * @param[out] realResult real part of the result returned here - * @param[out] imagResult imaginary part of the result returned here - */ - void arm_cmplx_dot_prod_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - uint32_t numSamples, - q31_t * realResult, - q31_t * imagResult); - - - /** - * @brief Q31 complex dot product - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] numSamples number of complex samples in each vector - * @param[out] realResult real part of the result returned here - * @param[out] imagResult imaginary part of the result returned here - */ - void arm_cmplx_dot_prod_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - uint32_t numSamples, - q63_t * realResult, - q63_t * imagResult); - - - /** - * @brief Floating-point complex dot product - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] numSamples number of complex samples in each vector - * @param[out] realResult real part of the result returned here - * @param[out] imagResult imaginary part of the result returned here - */ - void arm_cmplx_dot_prod_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - uint32_t numSamples, - float32_t * realResult, - float32_t * imagResult); - - - /** - * @brief Q15 complex-by-real multiplication - * @param[in] pSrcCmplx points to the complex input vector - * @param[in] pSrcReal points to the real input vector - * @param[out] pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - */ - void arm_cmplx_mult_real_q15( - const q15_t * pSrcCmplx, - const q15_t * pSrcReal, - q15_t * pCmplxDst, - uint32_t numSamples); - - - /** - * @brief Q31 complex-by-real multiplication - * @param[in] pSrcCmplx points to the complex input vector - * @param[in] pSrcReal points to the real input vector - * @param[out] pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - */ - void arm_cmplx_mult_real_q31( - const q31_t * pSrcCmplx, - const q31_t * pSrcReal, - q31_t * pCmplxDst, - uint32_t numSamples); - - - /** - * @brief Floating-point complex-by-real multiplication - * @param[in] pSrcCmplx points to the complex input vector - * @param[in] pSrcReal points to the real input vector - * @param[out] pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - */ - void arm_cmplx_mult_real_f32( - const float32_t * pSrcCmplx, - const float32_t * pSrcReal, - float32_t * pCmplxDst, - uint32_t numSamples); - - /** - * @brief Q15 complex-by-complex multiplication - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_mult_cmplx_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - q15_t * pDst, - uint32_t numSamples); - - - /** - * @brief Q31 complex-by-complex multiplication - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_mult_cmplx_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - q31_t * pDst, - uint32_t numSamples); - - - /** - * @brief Floating-point complex-by-complex multiplication - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ - void arm_cmplx_mult_cmplx_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - float32_t * pDst, - uint32_t numSamples); - - - -/** - * @brief Floating-point complex-by-complex multiplication - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[out] pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - */ -void arm_cmplx_mult_cmplx_f64( -const float64_t * pSrcA, -const float64_t * pSrcB, - float64_t * pDst, - uint32_t numSamples); - - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _COMPLEX_MATH_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/controller_functions.h b/third_party/cmsis-dsp/Include/dsp/controller_functions.h deleted file mode 100755 index 5d5de98..0000000 --- a/third_party/cmsis-dsp/Include/dsp/controller_functions.h +++ /dev/null @@ -1,785 +0,0 @@ -/****************************************************************************** - * @file controller_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef CONTROLLER_FUNCTIONS_H_ -#define CONTROLLER_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - /** - * @brief Macros required for SINE and COSINE Controller functions - */ - -#define CONTROLLER_Q31_SHIFT (32 - 9) - /* 1.31(q31) Fixed value of 2/360 */ - /* -1 to +1 is divided into 360 values so total spacing is (2/360) */ -#define INPUT_SPACING 0xB60B61 - -/** - * @defgroup groupController Controller Functions - */ - - -/** - @ingroup groupController - */ - -/** - @defgroup SinCos Sine Cosine - - Computes the trigonometric sine and cosine values using a combination of table lookup - and linear interpolation. - There are separate functions for Q31 and floating-point data types. - The input to the floating-point version is in degrees while the - fixed-point Q31 have a scaled input with the range - [-1 0.9999] mapping to [-180 +180] degrees. - - The floating point function also allows values that are out of the usual range. When this happens, the function will - take extra time to adjust the input value to the range of [-180 180]. - - The result is accurate to 5 digits after the decimal point. - - The implementation is based on table lookup using 360 values together with linear interpolation. - The steps used are: - -# Calculation of the nearest integer table index. - -# Compute the fractional portion (fract) of the input. - -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1. - -# Sine value is computed as *psinVal = y0 + (fract * (y1 - y0)). - -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1. - -# Cosine value is computed as *pcosVal = y0 + (fract * (y1 - y0)). - */ - -/** - * @brief Floating-point sin_cos function. - * @param[in] theta input value in degrees - * @param[out] pSinVal points to the processed sine output. - * @param[out] pCosVal points to the processed cos output. - */ - void arm_sin_cos_f32( - float32_t theta, - float32_t * pSinVal, - float32_t * pCosVal); - - - /** - * @brief Q31 sin_cos function. - * @param[in] theta scaled input value in degrees - * @param[out] pSinVal points to the processed sine output. - * @param[out] pCosVal points to the processed cosine output. - */ - void arm_sin_cos_q31( - q31_t theta, - q31_t * pSinVal, - q31_t * pCosVal); - - -/** - @ingroup groupController - */ - -/** - * @defgroup PID PID Motor Control - * - * A Proportional Integral Derivative (PID) controller is a generic feedback control - * loop mechanism widely used in industrial control systems. - * A PID controller is the most commonly used type of feedback controller. - * - * This set of functions implements (PID) controllers - * for Q15, Q31, and floating-point data types. The functions operate on a single sample - * of data and each call to the function returns a single processed value. - * S points to an instance of the PID control data structure. in - * is the input sample value. The functions return the output value. - * - * \par Algorithm: - * 
-   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
-   *    A0 = Kp + Ki + Kd
-   *    A1 = (-Kp ) - (2 * Kd )
-   *    A2 = Kd
-   *
- * - * \par - * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant - * - * \par - * \image html PID.gif "Proportional Integral Derivative Controller" - * - * \par - * The PID controller calculates an "error" value as the difference between - * the measured output and the reference input. - * The controller attempts to minimize the error by adjusting the process control inputs. - * The proportional value determines the reaction to the current error, - * the integral value determines the reaction based on the sum of recent errors, - * and the derivative value determines the reaction based on the rate at which the error has been changing. - * - * \par Instance Structure - * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. - * A separate instance structure must be defined for each PID Controller. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Reset Functions - * There is also an associated reset function for each data type which clears the state array. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. - * - Zeros out the values in the state buffer. - * - * \par - * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. - * - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the PID Controller functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - - /** - * @ingroup PID - * @brief Instance structure for the Q15 PID Control. - */ - typedef struct - { - q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ -#if !defined (ARM_MATH_DSP) - q15_t A1; /**< The derived gain A1 = -Kp - 2Kd */ - q15_t A2; /**< The derived gain A1 = Kd. */ -#else - q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ -#endif - q15_t state[3]; /**< The state array of length 3. */ - q15_t Kp; /**< The proportional gain. */ - q15_t Ki; /**< The integral gain. */ - q15_t Kd; /**< The derivative gain. */ - } arm_pid_instance_q15; - - /** - * @ingroup PID - * @brief Instance structure for the Q31 PID Control. - */ - typedef struct - { - q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ - q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ - q31_t A2; /**< The derived gain, A2 = Kd . */ - q31_t state[3]; /**< The state array of length 3. */ - q31_t Kp; /**< The proportional gain. */ - q31_t Ki; /**< The integral gain. */ - q31_t Kd; /**< The derivative gain. */ - } arm_pid_instance_q31; - - /** - * @ingroup PID - * @brief Instance structure for the floating-point PID Control. - */ - typedef struct - { - float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ - float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ - float32_t A2; /**< The derived gain, A2 = Kd . */ - float32_t state[3]; /**< The state array of length 3. */ - float32_t Kp; /**< The proportional gain. */ - float32_t Ki; /**< The integral gain. */ - float32_t Kd; /**< The derivative gain. */ - } arm_pid_instance_f32; - - - - /** - * @brief Initialization function for the floating-point PID Control. - * @param[in,out] S points to an instance of the PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. - */ - void arm_pid_init_f32( - arm_pid_instance_f32 * S, - int32_t resetStateFlag); - - - /** - * @brief Reset function for the floating-point PID Control. - * @param[in,out] S is an instance of the floating-point PID Control structure - */ - void arm_pid_reset_f32( - arm_pid_instance_f32 * S); - - - /** - * @brief Initialization function for the Q31 PID Control. - * @param[in,out] S points to an instance of the Q15 PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. - */ - void arm_pid_init_q31( - arm_pid_instance_q31 * S, - int32_t resetStateFlag); - - - /** - * @brief Reset function for the Q31 PID Control. - * @param[in,out] S points to an instance of the Q31 PID Control structure - */ - - void arm_pid_reset_q31( - arm_pid_instance_q31 * S); - - - /** - * @brief Initialization function for the Q15 PID Control. - * @param[in,out] S points to an instance of the Q15 PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. - */ - void arm_pid_init_q15( - arm_pid_instance_q15 * S, - int32_t resetStateFlag); - - - /** - * @brief Reset function for the Q15 PID Control. - * @param[in,out] S points to an instance of the q15 PID Control structure - */ - void arm_pid_reset_q15( - arm_pid_instance_q15 * S); - - - - - - /** - * @ingroup PID - * @brief Process function for the floating-point PID Control. - * @param[in,out] S is an instance of the floating-point PID Control structure - * @param[in] in input sample to process - * @return processed output sample. - */ - __STATIC_FORCEINLINE float32_t arm_pid_f32( - arm_pid_instance_f32 * S, - float32_t in) - { - float32_t out; - - /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ - out = (S->A0 * in) + - (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); - - /* Update state */ - S->state[1] = S->state[0]; - S->state[0] = in; - S->state[2] = out; - - /* return to application */ - return (out); - - } - -/** - @ingroup PID - @brief Process function for the Q31 PID Control. - @param[in,out] S points to an instance of the Q31 PID Control structure - @param[in] in input sample to process - @return processed output sample. - - \par Scaling and Overflow Behavior - The function is implemented using an internal 64-bit accumulator. - The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - Thus, if the accumulator result overflows it wraps around rather than clip. - In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. - After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. - */ -__STATIC_FORCEINLINE q31_t arm_pid_q31( - arm_pid_instance_q31 * S, - q31_t in) - { - q63_t acc; - q31_t out; - - /* acc = A0 * x[n] */ - acc = (q63_t) S->A0 * in; - - /* acc += A1 * x[n-1] */ - acc += (q63_t) S->A1 * S->state[0]; - - /* acc += A2 * x[n-2] */ - acc += (q63_t) S->A2 * S->state[1]; - - /* convert output to 1.31 format to add y[n-1] */ - out = (q31_t) (acc >> 31U); - - /* out += y[n-1] */ - out += S->state[2]; - - /* Update state */ - S->state[1] = S->state[0]; - S->state[0] = in; - S->state[2] = out; - - /* return to application */ - return (out); - } - - -/** - @ingroup PID - @brief Process function for the Q15 PID Control. - @param[in,out] S points to an instance of the Q15 PID Control structure - @param[in] in input sample to process - @return processed output sample. - - \par Scaling and Overflow Behavior - The function is implemented using a 64-bit internal accumulator. - Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - Lastly, the accumulator is saturated to yield a result in 1.15 format. - */ -__STATIC_FORCEINLINE q15_t arm_pid_q15( - arm_pid_instance_q15 * S, - q15_t in) - { - q63_t acc; - q15_t out; - -#if defined (ARM_MATH_DSP) - /* Implementation of PID controller */ - - /* acc = A0 * x[n] */ - acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); - - /* acc += A1 * x[n-1] + A2 * x[n-2] */ - acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); -#else - /* acc = A0 * x[n] */ - acc = ((q31_t) S->A0) * in; - - /* acc += A1 * x[n-1] + A2 * x[n-2] */ - acc += (q31_t) S->A1 * S->state[0]; - acc += (q31_t) S->A2 * S->state[1]; -#endif - - /* acc += y[n-1] */ - acc += (q31_t) S->state[2] << 15; - - /* saturate the output */ - out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); - - /* Update state */ - S->state[1] = S->state[0]; - S->state[0] = in; - S->state[2] = out; - - /* return to application */ - return (out); - } - - - - /** - * @ingroup groupController - */ - - /** - * @defgroup park Vector Park Transform - * - * Forward Park transform converts the input two-coordinate vector to flux and torque components. - * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents - * from the stationary to the moving reference frame and control the spatial relationship between - * the stator vector current and rotor flux vector. - * If we consider the d axis aligned with the rotor flux, the diagram below shows the - * current vector and the relationship from the two reference frames: - * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame" - * - * The function operates on a single sample of data and each call to the function returns the processed output. - * The library provides separate functions for Q31 and floating-point data types. - * \par Algorithm - * \image html parkFormula.gif - * where Ialpha and Ibeta are the stator vector components, - * pId and pIq are rotor vector components and cosVal and sinVal are the - * cosine and sine values of theta (rotor flux position). - * \par Fixed-Point Behavior - * Care must be taken when using the Q31 version of the Park transform. - * In particular, the overflow and saturation behavior of the accumulator used must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - - - /** - * @ingroup park - * @brief Floating-point Park transform - * @param[in] Ialpha input two-phase vector coordinate alpha - * @param[in] Ibeta input two-phase vector coordinate beta - * @param[out] pId points to output rotor reference frame d - * @param[out] pIq points to output rotor reference frame q - * @param[in] sinVal sine value of rotation angle theta - * @param[in] cosVal cosine value of rotation angle theta - * - * The function implements the forward Park transform. - * - */ - __STATIC_FORCEINLINE void arm_park_f32( - float32_t Ialpha, - float32_t Ibeta, - float32_t * pId, - float32_t * pIq, - float32_t sinVal, - float32_t cosVal) - { - /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */ - *pId = Ialpha * cosVal + Ibeta * sinVal; - - /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */ - *pIq = -Ialpha * sinVal + Ibeta * cosVal; - } - - -/** - @ingroup park - @brief Park transform for Q31 version - @param[in] Ialpha input two-phase vector coordinate alpha - @param[in] Ibeta input two-phase vector coordinate beta - @param[out] pId points to output rotor reference frame d - @param[out] pIq points to output rotor reference frame q - @param[in] sinVal sine value of rotation angle theta - @param[in] cosVal cosine value of rotation angle theta - - \par Scaling and Overflow Behavior - The function is implemented using an internal 32-bit accumulator. - The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. - There is saturation on the addition and subtraction, hence there is no risk of overflow. - */ -__STATIC_FORCEINLINE void arm_park_q31( - q31_t Ialpha, - q31_t Ibeta, - q31_t * pId, - q31_t * pIq, - q31_t sinVal, - q31_t cosVal) - { - q31_t product1, product2; /* Temporary variables used to store intermediate results */ - q31_t product3, product4; /* Temporary variables used to store intermediate results */ - - /* Intermediate product is calculated by (Ialpha * cosVal) */ - product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31); - - /* Intermediate product is calculated by (Ibeta * sinVal) */ - product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31); - - - /* Intermediate product is calculated by (Ialpha * sinVal) */ - product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31); - - /* Intermediate product is calculated by (Ibeta * cosVal) */ - product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31); - - /* Calculate pId by adding the two intermediate products 1 and 2 */ - *pId = __QADD(product1, product2); - - /* Calculate pIq by subtracting the two intermediate products 3 from 4 */ - *pIq = __QSUB(product4, product3); - } - - - - /** - * @ingroup groupController - */ - - /** - * @defgroup inv_park Vector Inverse Park transform - * Inverse Park transform converts the input flux and torque components to two-coordinate vector. - * - * The function operates on a single sample of data and each call to the function returns the processed output. - * The library provides separate functions for Q31 and floating-point data types. - * \par Algorithm - * \image html parkInvFormula.gif - * where pIalpha and pIbeta are the stator vector components, - * Id and Iq are rotor vector components and cosVal and sinVal are the - * cosine and sine values of theta (rotor flux position). - * \par Fixed-Point Behavior - * Care must be taken when using the Q31 version of the Park transform. - * In particular, the overflow and saturation behavior of the accumulator used must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - - - /** - * @ingroup inv_park - * @brief Floating-point Inverse Park transform - * @param[in] Id input coordinate of rotor reference frame d - * @param[in] Iq input coordinate of rotor reference frame q - * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha - * @param[out] pIbeta points to output two-phase orthogonal vector axis beta - * @param[in] sinVal sine value of rotation angle theta - * @param[in] cosVal cosine value of rotation angle theta - */ - __STATIC_FORCEINLINE void arm_inv_park_f32( - float32_t Id, - float32_t Iq, - float32_t * pIalpha, - float32_t * pIbeta, - float32_t sinVal, - float32_t cosVal) - { - /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */ - *pIalpha = Id * cosVal - Iq * sinVal; - - /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */ - *pIbeta = Id * sinVal + Iq * cosVal; - } - - -/** - @ingroup inv_park - @brief Inverse Park transform for Q31 version - @param[in] Id input coordinate of rotor reference frame d - @param[in] Iq input coordinate of rotor reference frame q - @param[out] pIalpha points to output two-phase orthogonal vector axis alpha - @param[out] pIbeta points to output two-phase orthogonal vector axis beta - @param[in] sinVal sine value of rotation angle theta - @param[in] cosVal cosine value of rotation angle theta - - @par Scaling and Overflow Behavior - The function is implemented using an internal 32-bit accumulator. - The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. - There is saturation on the addition, hence there is no risk of overflow. - */ -__STATIC_FORCEINLINE void arm_inv_park_q31( - q31_t Id, - q31_t Iq, - q31_t * pIalpha, - q31_t * pIbeta, - q31_t sinVal, - q31_t cosVal) - { - q31_t product1, product2; /* Temporary variables used to store intermediate results */ - q31_t product3, product4; /* Temporary variables used to store intermediate results */ - - /* Intermediate product is calculated by (Id * cosVal) */ - product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31); - - /* Intermediate product is calculated by (Iq * sinVal) */ - product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31); - - - /* Intermediate product is calculated by (Id * sinVal) */ - product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31); - - /* Intermediate product is calculated by (Iq * cosVal) */ - product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31); - - /* Calculate pIalpha by using the two intermediate products 1 and 2 */ - *pIalpha = __QSUB(product1, product2); - - /* Calculate pIbeta by using the two intermediate products 3 and 4 */ - *pIbeta = __QADD(product4, product3); - } - - -/** - * @ingroup groupController - */ - - /** - * @defgroup clarke Vector Clarke Transform - * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. - * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents - * in the two-phase orthogonal stator axis Ialpha and Ibeta. - * When Ialpha is superposed with Ia as shown in the figure below - * \image html clarke.gif Stator current space vector and its components in (a,b). - * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta - * can be calculated using only Ia and Ib. - * - * The function operates on a single sample of data and each call to the function returns the processed output. - * The library provides separate functions for Q31 and floating-point data types. - * \par Algorithm - * \image html clarkeFormula.gif - * where Ia and Ib are the instantaneous stator phases and - * pIalpha and pIbeta are the two coordinates of time invariant vector. - * \par Fixed-Point Behavior - * Care must be taken when using the Q31 version of the Clarke transform. - * In particular, the overflow and saturation behavior of the accumulator used must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - - /** - * - * @ingroup clarke - * @brief Floating-point Clarke transform - * @param[in] Ia input three-phase coordinate a - * @param[in] Ib input three-phase coordinate b - * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha - * @param[out] pIbeta points to output two-phase orthogonal vector axis beta - */ - __STATIC_FORCEINLINE void arm_clarke_f32( - float32_t Ia, - float32_t Ib, - float32_t * pIalpha, - float32_t * pIbeta) - { - /* Calculate pIalpha using the equation, pIalpha = Ia */ - *pIalpha = Ia; - - /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */ - *pIbeta = (0.57735026919f * Ia + 1.15470053838f * Ib); - } - - -/** - @ingroup clarke - @brief Clarke transform for Q31 version - @param[in] Ia input three-phase coordinate a - @param[in] Ib input three-phase coordinate b - @param[out] pIalpha points to output two-phase orthogonal vector axis alpha - @param[out] pIbeta points to output two-phase orthogonal vector axis beta - - \par Scaling and Overflow Behavior - The function is implemented using an internal 32-bit accumulator. - The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. - There is saturation on the addition, hence there is no risk of overflow. - */ -__STATIC_FORCEINLINE void arm_clarke_q31( - q31_t Ia, - q31_t Ib, - q31_t * pIalpha, - q31_t * pIbeta) - { - q31_t product1, product2; /* Temporary variables used to store intermediate results */ - - /* Calculating pIalpha from Ia by equation pIalpha = Ia */ - *pIalpha = Ia; - - /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */ - product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30); - - /* Intermediate product is calculated by (2/sqrt(3) * Ib) */ - product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30); - - /* pIbeta is calculated by adding the intermediate products */ - *pIbeta = __QADD(product1, product2); - } - - - - /** - * @ingroup groupController - */ - - /** - * @defgroup inv_clarke Vector Inverse Clarke Transform - * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases. - * - * The function operates on a single sample of data and each call to the function returns the processed output. - * The library provides separate functions for Q31 and floating-point data types. - * \par Algorithm - * \image html clarkeInvFormula.gif - * where pIa and pIb are the instantaneous stator phases and - * Ialpha and Ibeta are the two coordinates of time invariant vector. - * \par Fixed-Point Behavior - * Care must be taken when using the Q31 version of the Clarke transform. - * In particular, the overflow and saturation behavior of the accumulator used must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - - - /** - * @ingroup inv_clarke - * @brief Floating-point Inverse Clarke transform - * @param[in] Ialpha input two-phase orthogonal vector axis alpha - * @param[in] Ibeta input two-phase orthogonal vector axis beta - * @param[out] pIa points to output three-phase coordinate a - * @param[out] pIb points to output three-phase coordinate b - */ - __STATIC_FORCEINLINE void arm_inv_clarke_f32( - float32_t Ialpha, - float32_t Ibeta, - float32_t * pIa, - float32_t * pIb) - { - /* Calculating pIa from Ialpha by equation pIa = Ialpha */ - *pIa = Ialpha; - - /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */ - *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta; - } - - -/** - @ingroup inv_clarke - @brief Inverse Clarke transform for Q31 version - @param[in] Ialpha input two-phase orthogonal vector axis alpha - @param[in] Ibeta input two-phase orthogonal vector axis beta - @param[out] pIa points to output three-phase coordinate a - @param[out] pIb points to output three-phase coordinate b - - \par Scaling and Overflow Behavior - The function is implemented using an internal 32-bit accumulator. - The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. - There is saturation on the subtraction, hence there is no risk of overflow. - */ -__STATIC_FORCEINLINE void arm_inv_clarke_q31( - q31_t Ialpha, - q31_t Ibeta, - q31_t * pIa, - q31_t * pIb) - { - q31_t product1, product2; /* Temporary variables used to store intermediate results */ - - /* Calculating pIa from Ialpha by equation pIa = Ialpha */ - *pIa = Ialpha; - - /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */ - product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31); - - /* Intermediate product is calculated by (1/sqrt(3) * pIb) */ - product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31); - - /* pIb is calculated by subtracting the products */ - *pIb = __QSUB(product2, product1); - } - - - - - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _CONTROLLER_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/distance_functions.h b/third_party/cmsis-dsp/Include/dsp/distance_functions.h deleted file mode 100755 index dac4b62..0000000 --- a/third_party/cmsis-dsp/Include/dsp/distance_functions.h +++ /dev/null @@ -1,386 +0,0 @@ -/****************************************************************************** - * @file distance_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef DISTANCE_FUNCTIONS_H_ -#define DISTANCE_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/statistics_functions.h" -#include "dsp/basic_math_functions.h" -#include "dsp/fast_math_functions.h" -#include "dsp/matrix_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - -/** - * @defgroup groupDistance Distance Functions - * - * Distance functions for use with clustering algorithms. - * There are distance functions for float vectors and boolean vectors. - * - */ - -/* 6.14 bug */ -#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001) - -__attribute__((weak)) float __powisf2(float a, int b); - -#endif - -/** - * @brief Euclidean distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ - -float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - -/** - * @brief Euclidean distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ - -float64_t arm_euclidean_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize); - -/** - * @brief Bray-Curtis distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - -/** - * @brief Canberra distance between two vectors - * - * This function may divide by zero when samples pA[i] and pB[i] are both zero. - * The result of the computation will be correct. So the division per zero may be - * ignored. - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - - -/** - * @brief Chebyshev distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - - -/** - * @brief Chebyshev distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float64_t arm_chebyshev_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize); - - -/** - * @brief Cityblock (Manhattan) distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - -/** - * @brief Cityblock (Manhattan) distance between two vectors - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float64_t arm_cityblock_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize); - -/** - * @brief Correlation distance between two vectors - * - * The input vectors are modified in place ! - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ -float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize); - -/** - * @brief Cosine distance between two vectors - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ - -float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); - -/** - * @brief Cosine distance between two vectors - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ - -float64_t arm_cosine_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize); - -/** - * @brief Jensen-Shannon distance between two vectors - * - * This function is assuming that elements of second vector are > 0 - * and 0 only when the corresponding element of first vector is 0. - * Otherwise the result of the computation does not make sense - * and for speed reasons, the cases returning NaN or Infinity are not - * managed. - * - * When the function is computing x log (x / y) with x 0 and y 0, - * it will compute the right value (0) but a division per zero will occur - * and should be ignored in client code. - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] blockSize vector length - * @return distance - * - */ - -float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize); - -/** - * @brief Minkowski distance between two vectors - * - * @param[in] pA First vector - * @param[in] pB Second vector - * @param[in] n Norm order (>= 2) - * @param[in] blockSize vector length - * @return distance - * - */ - - - -float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize); - -/** - * @brief Dice distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] order Distance order - * @param[in] blockSize Number of samples - * @return distance - * - */ - - -float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Hamming distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Jaccard distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Kulsinski distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Roger Stanimoto distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Russell-Rao distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Sokal-Michener distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Sokal-Sneath distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -/** - * @brief Yule distance between two vectors - * - * @param[in] pA First vector of packed booleans - * @param[in] pB Second vector of packed booleans - * @param[in] numberOfBools Number of booleans - * @return distance - * - */ - -float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); - -typedef enum - { - ARM_DTW_SAKOE_CHIBA_WINDOW = 1, - /*ARM_DTW_ITAKURA_WINDOW = 2,*/ - ARM_DTW_SLANTED_BAND_WINDOW = 3 - } arm_dtw_window; - -/** - * @brief Window for dynamic time warping computation - * @param[in] windowType Type of window - * @param[in] windowSize Window size - * @param[in,out] pWindow Window - * @return Error if window type not recognized - * - */ -arm_status arm_dtw_init_window_q7(const arm_dtw_window windowType, - const int32_t windowSize, - arm_matrix_instance_q7 *pWindow); - -/** - * @brief Dynamic Time Warping distance - * @param[in] pDistance Distance matrix (Query rows * Template columns) - * @param[in] pWindow Windowing (can be NULL if no windowing used) - * @param[out] pDTW Temporary cost buffer (same size) - * @param[out] distance Distance - * @return Error in case no path can be found with window constraint - * - */ - -arm_status arm_dtw_distance_f32(const arm_matrix_instance_f32 *pDistance, - const arm_matrix_instance_q7 *pWindow, - arm_matrix_instance_f32 *pDTW, - float32_t *distance); - - -/** - * @brief Mapping between query and template - * @param[in] pDTW Cost matrix (Query rows * Template columns) - * @param[out] pPath Warping path in cost matrix 2*(nb rows + nb columns) - * @param[out] pathLength Length of path in number of points - * - */ - -void arm_dtw_path_f32(const arm_matrix_instance_f32 *pDTW, - int16_t *pPath, - uint32_t *pathLength); -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _DISTANCE_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/fast_math_functions.h b/third_party/cmsis-dsp/Include/dsp/fast_math_functions.h deleted file mode 100755 index 0bd536b..0000000 --- a/third_party/cmsis-dsp/Include/dsp/fast_math_functions.h +++ /dev/null @@ -1,379 +0,0 @@ -/****************************************************************************** - * @file fast_math_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef FAST_MATH_FUNCTIONS_H_ -#define FAST_MATH_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/basic_math_functions.h" - - -#ifdef __cplusplus -#include -extern "C" -{ -#else -#include -#endif - - /** - * @brief Macros required for SINE and COSINE Fast math approximations - */ - -#define FAST_MATH_TABLE_SIZE 512 -#define FAST_MATH_Q31_SHIFT (32 - 10) -#define FAST_MATH_Q15_SHIFT (16 - 10) - -#ifndef PI - #define PI 3.14159265358979f -#endif - -#ifndef PI_F64 - #define PI_F64 3.14159265358979323846 -#endif - - - -/** - * @defgroup groupFastMath Fast Math Functions - * This set of functions provides a fast approximation to sine, cosine, and square root. - * As compared to most of the other functions in the CMSIS math library, the fast math functions - * operate on individual values and not arrays. - * There are separate functions for Q15, Q31, and floating-point data. - * - */ - - - /** - * @brief Fast approximation to the trigonometric sine function for floating-point data. - * @param[in] x input value in radians. - * @return sin(x). - */ - float32_t arm_sin_f32( - float32_t x); - - - /** - * @brief Fast approximation to the trigonometric sine function for Q31 data. - * @param[in] x Scaled input value in radians. - * @return sin(x). - */ - q31_t arm_sin_q31( - q31_t x); - - /** - * @brief Fast approximation to the trigonometric sine function for Q15 data. - * @param[in] x Scaled input value in radians. - * @return sin(x). - */ - q15_t arm_sin_q15( - q15_t x); - - - /** - * @brief Fast approximation to the trigonometric cosine function for floating-point data. - * @param[in] x input value in radians. - * @return cos(x). - */ - float32_t arm_cos_f32( - float32_t x); - - - /** - * @brief Fast approximation to the trigonometric cosine function for Q31 data. - * @param[in] x Scaled input value in radians. - * @return cos(x). - */ - q31_t arm_cos_q31( - q31_t x); - - - /** - * @brief Fast approximation to the trigonometric cosine function for Q15 data. - * @param[in] x Scaled input value in radians. - * @return cos(x). - */ - q15_t arm_cos_q15( - q15_t x); - - -/** - @brief Floating-point vector of log values. - @param[in] pSrc points to the input vector - @param[out] pDst points to the output vector - @param[in] blockSize number of samples in each vector - */ - void arm_vlog_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - -/** - @brief Floating-point vector of log values. - @param[in] pSrc points to the input vector - @param[out] pDst points to the output vector - @param[in] blockSize number of samples in each vector - */ - void arm_vlog_f64( - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief q31 vector of log values. - * @param[in] pSrc points to the input vector in q31 - * @param[out] pDst points to the output vector in q5.26 - * @param[in] blockSize number of samples in each vector - */ - void arm_vlog_q31(const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief q15 vector of log values. - * @param[in] pSrc points to the input vector in q15 - * @param[out] pDst points to the output vector in q4.11 - * @param[in] blockSize number of samples in each vector - */ - void arm_vlog_q15(const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - -/** - @brief Floating-point vector of exp values. - @param[in] pSrc points to the input vector - @param[out] pDst points to the output vector - @param[in] blockSize number of samples in each vector - */ - void arm_vexp_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - -/** - @brief Floating-point vector of exp values. - @param[in] pSrc points to the input vector - @param[out] pDst points to the output vector - @param[in] blockSize number of samples in each vector - */ - void arm_vexp_f64( - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @defgroup SQRT Square Root - * - * Computes the square root of a number. - * There are separate functions for Q15, Q31, and floating-point data types. - * The square root function is computed using the Newton-Raphson algorithm. - * This is an iterative algorithm of the form: - * 
-   *      x1 = x0 - f(x0)/f'(x0)
-   *
- * where x1 is the current estimate, - * x0 is the previous estimate, and - * f'(x0) is the derivative of f() evaluated at x0. - * For the square root function, the algorithm reduces to: - * 
-   *     x0 = in/2                         [initial guess]
-   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
-   *
- */ - - - /** - * @addtogroup SQRT - * @{ - */ - -/** - @brief Floating-point square root function. - @param[in] in input value - @param[out] pOut square root of input value - @return execution status - - \ref ARM_MATH_SUCCESS : input value is positive - - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 - */ -__STATIC_FORCEINLINE arm_status arm_sqrt_f32( - const float32_t in, - float32_t * pOut) - { - if (in >= 0.0f) - { -#if defined ( __CC_ARM ) - #if defined __TARGET_FPU_VFP - *pOut = __sqrtf(in); - #else - *pOut = sqrtf(in); - #endif - -#elif defined ( __ICCARM__ ) - #if defined __ARMVFP__ - __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); - #else - *pOut = sqrtf(in); - #endif - -#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) - *pOut = _sqrtf(in); -#elif defined(__GNUC_PYTHON__) - *pOut = sqrtf(in); -#elif defined ( __GNUC__ ) - #if defined (__VFP_FP__) && !defined(__SOFTFP__) - __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); - #else - *pOut = sqrtf(in); - #endif -#else - *pOut = sqrtf(in); -#endif - - return (ARM_MATH_SUCCESS); - } - else - { - *pOut = 0.0f; - return (ARM_MATH_ARGUMENT_ERROR); - } - } - - -/** - @brief Q31 square root function. - @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF - @param[out] pOut points to square root of input value - @return execution status - - \ref ARM_MATH_SUCCESS : input value is positive - - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 - */ -arm_status arm_sqrt_q31( - q31_t in, - q31_t * pOut); - - -/** - @brief Q15 square root function. - @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF - @param[out] pOut points to square root of input value - @return execution status - - \ref ARM_MATH_SUCCESS : input value is positive - - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 - */ -arm_status arm_sqrt_q15( - q15_t in, - q15_t * pOut); - - - - /** - * @} end of SQRT group - */ - - /** - @brief Fixed point division - @param[in] numerator Numerator - @param[in] denominator Denominator - @param[out] quotient Quotient value normalized between -1.0 and 1.0 - @param[out] shift Shift left value to get the unnormalized quotient - @return error status - - When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced - to the saturated negative or positive value. - */ - -arm_status arm_divide_q15(q15_t numerator, - q15_t denominator, - q15_t *quotient, - int16_t *shift); - - /** - @brief Fixed point division - @param[in] numerator Numerator - @param[in] denominator Denominator - @param[out] quotient Quotient value normalized between -1.0 and 1.0 - @param[out] shift Shift left value to get the unnormalized quotient - @return error status - - When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced - to the saturated negative or positive value. - */ - -arm_status arm_divide_q31(q31_t numerator, - q31_t denominator, - q31_t *quotient, - int16_t *shift); - - - - /** - @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. - @param[in] y y coordinate - @param[in] x x coordinate - @param[out] result Result - @return error status. - */ - arm_status arm_atan2_f32(float32_t y,float32_t x,float32_t *result); - - - /** - @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. - @param[in] y y coordinate - @param[in] x x coordinate - @param[out] result Result in Q2.29 - @return error status. - */ - arm_status arm_atan2_q31(q31_t y,q31_t x,q31_t *result); - - /** - @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. - @param[in] y y coordinate - @param[in] x x coordinate - @param[out] result Result in Q2.13 - @return error status. - */ - arm_status arm_atan2_q15(q15_t y,q15_t x,q15_t *result); - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _FAST_MATH_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/filtering_functions.h b/third_party/cmsis-dsp/Include/dsp/filtering_functions.h deleted file mode 100755 index 98b2168..0000000 --- a/third_party/cmsis-dsp/Include/dsp/filtering_functions.h +++ /dev/null @@ -1,2570 +0,0 @@ -/****************************************************************************** - * @file filtering_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef FILTERING_FUNCTIONS_H_ -#define FILTERING_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/support_functions.h" -#include "dsp/fast_math_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - - -#define DELTA_Q31 ((q31_t)(0x100)) -#define DELTA_Q15 ((q15_t)0x5) - -/** - * @defgroup groupFilters Filtering Functions - */ - - /** - * @brief Instance structure for the Q7 FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of filter coefficients in the filter. */ - q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - } arm_fir_instance_q7; - - /** - * @brief Instance structure for the Q15 FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of filter coefficients in the filter. */ - q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - } arm_fir_instance_q15; - - /** - * @brief Instance structure for the Q31 FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of filter coefficients in the filter. */ - q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - } arm_fir_instance_q31; - - /** - * @brief Instance structure for the floating-point FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of filter coefficients in the filter. */ - float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - } arm_fir_instance_f32; - - /** - * @brief Instance structure for the floating-point FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of filter coefficients in the filter. */ - float64_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - const float64_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - } arm_fir_instance_f64; - - /** - * @brief Processing function for the Q7 FIR filter. - * @param[in] S points to an instance of the Q7 FIR filter structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_q7( - const arm_fir_instance_q7 * S, - const q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the Q7 FIR filter. - * @param[in,out] S points to an instance of the Q7 FIR structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of samples that are processed. - * - * For the MVE version, the coefficient length must be a multiple of 16. - * You can pad with zeros if you have less coefficients. - */ - void arm_fir_init_q7( - arm_fir_instance_q7 * S, - uint16_t numTaps, - const q7_t * pCoeffs, - q7_t * pState, - uint32_t blockSize); - - /** - * @brief Processing function for the Q15 FIR filter. - * @param[in] S points to an instance of the Q15 FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_q15( - const arm_fir_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - /** - * @brief Processing function for the fast Q15 FIR filter (fast version). - * @param[in] S points to an instance of the Q15 FIR filter structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_fast_q15( - const arm_fir_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the Q15 FIR filter. - * @param[in,out] S points to an instance of the Q15 FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of samples that are processed at a time. - * @return The function returns either - * ARM_MATH_SUCCESS if initialization was successful or - * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value. - * - * For the MVE version, the coefficient length must be a multiple of 8. - * You can pad with zeros if you have less coefficients. - * - */ - arm_status arm_fir_init_q15( - arm_fir_instance_q15 * S, - uint16_t numTaps, - const q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize); - - /** - * @brief Processing function for the Q31 FIR filter. - * @param[in] S points to an instance of the Q31 FIR filter structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_q31( - const arm_fir_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief Processing function for the fast Q31 FIR filter (fast version). - * @param[in] S points to an instance of the Q31 FIR filter structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_fast_q31( - const arm_fir_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the Q31 FIR filter. - * @param[in,out] S points to an instance of the Q31 FIR structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of samples that are processed at a time. - * - * For the MVE version, the coefficient length must be a multiple of 4. - * You can pad with zeros if you have less coefficients. - */ - void arm_fir_init_q31( - arm_fir_instance_q31 * S, - uint16_t numTaps, - const q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize); - - /** - * @brief Processing function for the floating-point FIR filter. - * @param[in] S points to an instance of the floating-point FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_f32( - const arm_fir_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - /** - * @brief Processing function for the floating-point FIR filter. - * @param[in] S points to an instance of the floating-point FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_f64( - const arm_fir_instance_f64 * S, - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the floating-point FIR filter. - * @param[in,out] S points to an instance of the floating-point FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of samples that are processed at a time. - */ - void arm_fir_init_f32( - arm_fir_instance_f32 * S, - uint16_t numTaps, - const float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize); - - /** - * @brief Initialization function for the floating-point FIR filter. - * @param[in,out] S points to an instance of the floating-point FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of samples that are processed at a time. - */ - void arm_fir_init_f64( - arm_fir_instance_f64 * S, - uint16_t numTaps, - const float64_t * pCoeffs, - float64_t * pState, - uint32_t blockSize); - - /** - * @brief Instance structure for the Q15 Biquad cascade filter. - */ - typedef struct - { - int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ - const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ - int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ - } arm_biquad_casd_df1_inst_q15; - - /** - * @brief Instance structure for the Q31 Biquad cascade filter. - */ - typedef struct - { - uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ - const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ - uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ - } arm_biquad_casd_df1_inst_q31; - - /** - * @brief Instance structure for the floating-point Biquad cascade filter. - */ - typedef struct - { - uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ - const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ - } arm_biquad_casd_df1_inst_f32; - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - /** - * @brief Instance structure for the modified Biquad coefs required by vectorized code. - */ - typedef struct - { - float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */ - } arm_biquad_mod_coef_f32; -#endif - - /** - * @brief Processing function for the Q15 Biquad cascade filter. - * @param[in] S points to an instance of the Q15 Biquad cascade structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df1_q15( - const arm_biquad_casd_df1_inst_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the Q15 Biquad cascade filter. - * @param[in,out] S points to an instance of the Q15 Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format - */ - void arm_biquad_cascade_df1_init_q15( - arm_biquad_casd_df1_inst_q15 * S, - uint8_t numStages, - const q15_t * pCoeffs, - q15_t * pState, - int8_t postShift); - - /** - * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4. - * @param[in] S points to an instance of the Q15 Biquad cascade structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df1_fast_q15( - const arm_biquad_casd_df1_inst_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - /** - * @brief Processing function for the Q31 Biquad cascade filter - * @param[in] S points to an instance of the Q31 Biquad cascade structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df1_q31( - const arm_biquad_casd_df1_inst_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4. - * @param[in] S points to an instance of the Q31 Biquad cascade structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df1_fast_q31( - const arm_biquad_casd_df1_inst_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the Q31 Biquad cascade filter. - * @param[in,out] S points to an instance of the Q31 Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format - */ - void arm_biquad_cascade_df1_init_q31( - arm_biquad_casd_df1_inst_q31 * S, - uint8_t numStages, - const q31_t * pCoeffs, - q31_t * pState, - int8_t postShift); - - /** - * @brief Processing function for the floating-point Biquad cascade filter. - * @param[in] S points to an instance of the floating-point Biquad cascade structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df1_f32( - const arm_biquad_casd_df1_inst_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the floating-point Biquad cascade filter. - * @param[in,out] S points to an instance of the floating-point Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version). - * @param[in] pState points to the state buffer. - */ -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - void arm_biquad_cascade_df1_mve_init_f32( - arm_biquad_casd_df1_inst_f32 * S, - uint8_t numStages, - const float32_t * pCoeffs, - arm_biquad_mod_coef_f32 * pCoeffsMod, - float32_t * pState); -#endif - - void arm_biquad_cascade_df1_init_f32( - arm_biquad_casd_df1_inst_f32 * S, - uint8_t numStages, - const float32_t * pCoeffs, - float32_t * pState); - - -/** - * @brief Convolution of floating-point sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - */ - void arm_conv_f32( - const float32_t * pSrcA, - uint32_t srcALen, - const float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst); - - - /** - * @brief Convolution of Q15 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - */ - void arm_conv_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2); - - -/** - * @brief Convolution of Q15 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - */ - void arm_conv_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst); - - - /** - * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - */ - void arm_conv_fast_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst); - - - /** - * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - */ - void arm_conv_fast_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2); - - - /** - * @brief Convolution of Q31 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - */ - void arm_conv_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst); - - - /** - * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - */ - void arm_conv_fast_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst); - - - /** - * @brief Convolution of Q7 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - */ - void arm_conv_opt_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2); - - - /** - * @brief Convolution of Q7 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. - */ - void arm_conv_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst); - - - /** - * @brief Partial convolution of floating-point sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_f32( - const float32_t * pSrcA, - uint32_t srcALen, - const float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Partial convolution of Q15 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2); - - - /** - * @brief Partial convolution of Q15 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_fast_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_fast_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2); - - - /** - * @brief Partial convolution of Q31 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_fast_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Partial convolution of Q7 sequences - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_opt_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2); - - -/** - * @brief Partial convolution of Q7 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - arm_status arm_conv_partial_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - uint32_t firstIndex, - uint32_t numPoints); - - - /** - * @brief Instance structure for the Q15 FIR decimator. - */ - typedef struct - { - uint8_t M; /**< decimation factor. */ - uint16_t numTaps; /**< number of coefficients in the filter. */ - const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - } arm_fir_decimate_instance_q15; - - /** - * @brief Instance structure for the Q31 FIR decimator. - */ - typedef struct - { - uint8_t M; /**< decimation factor. */ - uint16_t numTaps; /**< number of coefficients in the filter. */ - const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - } arm_fir_decimate_instance_q31; - -/** - @brief Instance structure for single precision floating-point FIR decimator. - */ -typedef struct - { - uint8_t M; /**< decimation factor. */ - uint16_t numTaps; /**< number of coefficients in the filter. */ - const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - } arm_fir_decimate_instance_f32; - - /** - @brief Instance structure for double precision floating-point FIR decimator. - */ - typedef struct - { - uint8_t M; /**< decimation factor. */ - uint16_t numTaps; /**< number of coefficients in the filter. */ - const float64_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - float64_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - } arm_fir_decimate_instance_f64; - - /** - @brief Processing function for floating-point FIR decimator. - @param[in] S points to an instance of the floating-point FIR decimator structure - @param[in] pSrc points to the block of input data - @param[out] pDst points to the block of output data - @param[in] blockSize number of samples to process - */ - void arm_fir_decimate_f64( - const arm_fir_decimate_instance_f64 * S, - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - /** - @brief Initialization function for the floating-point FIR decimator. - @param[in,out] S points to an instance of the floating-point FIR decimator structure - @param[in] numTaps number of coefficients in the filter - @param[in] M decimation factor - @param[in] pCoeffs points to the filter coefficients - @param[in] pState points to the state buffer - @param[in] blockSize number of input samples to process per call - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M - */ - arm_status arm_fir_decimate_init_f64( - arm_fir_decimate_instance_f64 * S, - uint16_t numTaps, - uint8_t M, - const float64_t * pCoeffs, - float64_t * pState, - uint32_t blockSize); - - - /** - @brief Processing function for floating-point FIR decimator. - @param[in] S points to an instance of the floating-point FIR decimator structure - @param[in] pSrc points to the block of input data - @param[out] pDst points to the block of output data - @param[in] blockSize number of samples to process - */ -void arm_fir_decimate_f32( - const arm_fir_decimate_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - -/** - @brief Initialization function for the floating-point FIR decimator. - @param[in,out] S points to an instance of the floating-point FIR decimator structure - @param[in] numTaps number of coefficients in the filter - @param[in] M decimation factor - @param[in] pCoeffs points to the filter coefficients - @param[in] pState points to the state buffer - @param[in] blockSize number of input samples to process per call - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M - */ -arm_status arm_fir_decimate_init_f32( - arm_fir_decimate_instance_f32 * S, - uint16_t numTaps, - uint8_t M, - const float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q15 FIR decimator. - * @param[in] S points to an instance of the Q15 FIR decimator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_decimate_q15( - const arm_fir_decimate_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. - * @param[in] S points to an instance of the Q15 FIR decimator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_decimate_fast_q15( - const arm_fir_decimate_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q15 FIR decimator. - * @param[in,out] S points to an instance of the Q15 FIR decimator structure. - * @param[in] numTaps number of coefficients in the filter. - * @param[in] M decimation factor. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if - * blockSize is not a multiple of M. - */ - arm_status arm_fir_decimate_init_q15( - arm_fir_decimate_instance_q15 * S, - uint16_t numTaps, - uint8_t M, - const q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q31 FIR decimator. - * @param[in] S points to an instance of the Q31 FIR decimator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_decimate_q31( - const arm_fir_decimate_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - /** - * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. - * @param[in] S points to an instance of the Q31 FIR decimator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_decimate_fast_q31( - const arm_fir_decimate_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q31 FIR decimator. - * @param[in,out] S points to an instance of the Q31 FIR decimator structure. - * @param[in] numTaps number of coefficients in the filter. - * @param[in] M decimation factor. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if - * blockSize is not a multiple of M. - */ - arm_status arm_fir_decimate_init_q31( - arm_fir_decimate_instance_q31 * S, - uint16_t numTaps, - uint8_t M, - const q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize); - - - /** - * @brief Instance structure for the Q15 FIR interpolator. - */ - typedef struct - { - uint8_t L; /**< upsample factor. */ - uint16_t phaseLength; /**< length of each polyphase filter component. */ - const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ - q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ - } arm_fir_interpolate_instance_q15; - - /** - * @brief Instance structure for the Q31 FIR interpolator. - */ - typedef struct - { - uint8_t L; /**< upsample factor. */ - uint16_t phaseLength; /**< length of each polyphase filter component. */ - const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ - q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ - } arm_fir_interpolate_instance_q31; - - /** - * @brief Instance structure for the floating-point FIR interpolator. - */ - typedef struct - { - uint8_t L; /**< upsample factor. */ - uint16_t phaseLength; /**< length of each polyphase filter component. */ - const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ - float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */ - } arm_fir_interpolate_instance_f32; - - - /** - * @brief Processing function for the Q15 FIR interpolator. - * @param[in] S points to an instance of the Q15 FIR interpolator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_interpolate_q15( - const arm_fir_interpolate_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q15 FIR interpolator. - * @param[in,out] S points to an instance of the Q15 FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficient buffer. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if - * the filter length numTaps is not a multiple of the interpolation factor L. - */ - arm_status arm_fir_interpolate_init_q15( - arm_fir_interpolate_instance_q15 * S, - uint8_t L, - uint16_t numTaps, - const q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q31 FIR interpolator. - * @param[in] S points to an instance of the Q15 FIR interpolator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_interpolate_q31( - const arm_fir_interpolate_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q31 FIR interpolator. - * @param[in,out] S points to an instance of the Q31 FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficient buffer. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if - * the filter length numTaps is not a multiple of the interpolation factor L. - */ - arm_status arm_fir_interpolate_init_q31( - arm_fir_interpolate_instance_q31 * S, - uint8_t L, - uint16_t numTaps, - const q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the floating-point FIR interpolator. - * @param[in] S points to an instance of the floating-point FIR interpolator structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_interpolate_f32( - const arm_fir_interpolate_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the floating-point FIR interpolator. - * @param[in,out] S points to an instance of the floating-point FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] pCoeffs points to the filter coefficient buffer. - * @param[in] pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if - * the filter length numTaps is not a multiple of the interpolation factor L. - */ - arm_status arm_fir_interpolate_init_f32( - arm_fir_interpolate_instance_f32 * S, - uint8_t L, - uint16_t numTaps, - const float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize); - - - /** - * @brief Instance structure for the high precision Q31 Biquad cascade filter. - */ - typedef struct - { - uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ - const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ - uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */ - } arm_biquad_cas_df1_32x64_ins_q31; - - - /** - * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cas_df1_32x64_q31( - const arm_biquad_cas_df1_32x64_ins_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format - */ - void arm_biquad_cas_df1_32x64_init_q31( - arm_biquad_cas_df1_32x64_ins_q31 * S, - uint8_t numStages, - const q31_t * pCoeffs, - q63_t * pState, - uint8_t postShift); - - - /** - * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. - */ - typedef struct - { - uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ - const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ - } arm_biquad_cascade_df2T_instance_f32; - - /** - * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. - */ - typedef struct - { - uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ - const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ - } arm_biquad_cascade_stereo_df2T_instance_f32; - - /** - * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. - */ - typedef struct - { - uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ - float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ - const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ - } arm_biquad_cascade_df2T_instance_f64; - - - /** - * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in] S points to an instance of the filter data structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df2T_f32( - const arm_biquad_cascade_df2T_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels - * @param[in] S points to an instance of the filter data structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_stereo_df2T_f32( - const arm_biquad_cascade_stereo_df2T_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in] S points to an instance of the filter data structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_biquad_cascade_df2T_f64( - const arm_biquad_cascade_df2T_instance_f64 * S, - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - -#if (defined(ARM_MATH_NEON) || defined(DOXYGEN)) -/** - @brief Compute new coefficient arrays for use in vectorized filter (Neon only). - @param[in] numStages number of 2nd order stages in the filter. - @param[in] pCoeffs points to the original filter coefficients. - @param[in] pComputedCoeffs points to the new computed coefficients for the vectorized version. -*/ -void arm_biquad_cascade_df2T_compute_coefs_f32( - uint8_t numStages, - const float32_t * pCoeffs, - float32_t * pComputedCoeffs); -#endif - /** - * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in,out] S points to an instance of the filter data structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - */ - void arm_biquad_cascade_df2T_init_f32( - arm_biquad_cascade_df2T_instance_f32 * S, - uint8_t numStages, - const float32_t * pCoeffs, - float32_t * pState); - - - /** - * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in,out] S points to an instance of the filter data structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - */ - void arm_biquad_cascade_stereo_df2T_init_f32( - arm_biquad_cascade_stereo_df2T_instance_f32 * S, - uint8_t numStages, - const float32_t * pCoeffs, - float32_t * pState); - - - /** - * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in,out] S points to an instance of the filter data structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] pCoeffs points to the filter coefficients. - * @param[in] pState points to the state buffer. - */ - void arm_biquad_cascade_df2T_init_f64( - arm_biquad_cascade_df2T_instance_f64 * S, - uint8_t numStages, - const float64_t * pCoeffs, - float64_t * pState); - - - /** - * @brief Instance structure for the Q15 FIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of filter stages. */ - q15_t *pState; /**< points to the state variable array. The array is of length numStages. */ - const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ - } arm_fir_lattice_instance_q15; - - /** - * @brief Instance structure for the Q31 FIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of filter stages. */ - q31_t *pState; /**< points to the state variable array. The array is of length numStages. */ - const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ - } arm_fir_lattice_instance_q31; - - /** - * @brief Instance structure for the floating-point FIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of filter stages. */ - float32_t *pState; /**< points to the state variable array. The array is of length numStages. */ - const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ - } arm_fir_lattice_instance_f32; - - - /** - * @brief Initialization function for the Q15 FIR lattice filter. - * @param[in] S points to an instance of the Q15 FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] pState points to the state buffer. The array is of length numStages. - */ - void arm_fir_lattice_init_q15( - arm_fir_lattice_instance_q15 * S, - uint16_t numStages, - const q15_t * pCoeffs, - q15_t * pState); - - - /** - * @brief Processing function for the Q15 FIR lattice filter. - * @param[in] S points to an instance of the Q15 FIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_fir_lattice_q15( - const arm_fir_lattice_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q31 FIR lattice filter. - * @param[in] S points to an instance of the Q31 FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] pState points to the state buffer. The array is of length numStages. - */ - void arm_fir_lattice_init_q31( - arm_fir_lattice_instance_q31 * S, - uint16_t numStages, - const q31_t * pCoeffs, - q31_t * pState); - - - /** - * @brief Processing function for the Q31 FIR lattice filter. - * @param[in] S points to an instance of the Q31 FIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_fir_lattice_q31( - const arm_fir_lattice_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - -/** - * @brief Initialization function for the floating-point FIR lattice filter. - * @param[in] S points to an instance of the floating-point FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] pState points to the state buffer. The array is of length numStages. - */ - void arm_fir_lattice_init_f32( - arm_fir_lattice_instance_f32 * S, - uint16_t numStages, - const float32_t * pCoeffs, - float32_t * pState); - - - /** - * @brief Processing function for the floating-point FIR lattice filter. - * @param[in] S points to an instance of the floating-point FIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_fir_lattice_f32( - const arm_fir_lattice_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Instance structure for the Q15 IIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of stages in the filter. */ - q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ - q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ - q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ - } arm_iir_lattice_instance_q15; - - /** - * @brief Instance structure for the Q31 IIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of stages in the filter. */ - q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ - q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ - q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ - } arm_iir_lattice_instance_q31; - - /** - * @brief Instance structure for the floating-point IIR lattice filter. - */ - typedef struct - { - uint16_t numStages; /**< number of stages in the filter. */ - float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ - float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ - float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ - } arm_iir_lattice_instance_f32; - - - /** - * @brief Processing function for the floating-point IIR lattice filter. - * @param[in] S points to an instance of the floating-point IIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_iir_lattice_f32( - const arm_iir_lattice_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the floating-point IIR lattice filter. - * @param[in] S points to an instance of the floating-point IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. - * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. - * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1. - * @param[in] blockSize number of samples to process. - */ - void arm_iir_lattice_init_f32( - arm_iir_lattice_instance_f32 * S, - uint16_t numStages, - float32_t * pkCoeffs, - float32_t * pvCoeffs, - float32_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q31 IIR lattice filter. - * @param[in] S points to an instance of the Q31 IIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_iir_lattice_q31( - const arm_iir_lattice_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q31 IIR lattice filter. - * @param[in] S points to an instance of the Q31 IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. - * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. - * @param[in] pState points to the state buffer. The array is of length numStages+blockSize. - * @param[in] blockSize number of samples to process. - */ - void arm_iir_lattice_init_q31( - arm_iir_lattice_instance_q31 * S, - uint16_t numStages, - q31_t * pkCoeffs, - q31_t * pvCoeffs, - q31_t * pState, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q15 IIR lattice filter. - * @param[in] S points to an instance of the Q15 IIR lattice structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_iir_lattice_q15( - const arm_iir_lattice_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - -/** - * @brief Initialization function for the Q15 IIR lattice filter. - * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages. - * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. - * @param[in] pState points to state buffer. The array is of length numStages+blockSize. - * @param[in] blockSize number of samples to process per call. - */ - void arm_iir_lattice_init_q15( - arm_iir_lattice_instance_q15 * S, - uint16_t numStages, - q15_t * pkCoeffs, - q15_t * pvCoeffs, - q15_t * pState, - uint32_t blockSize); - - - /** - * @brief Instance structure for the floating-point LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - float32_t mu; /**< step size that controls filter coefficient updates. */ - } arm_lms_instance_f32; - - - /** - * @brief Processing function for floating-point LMS filter. - * @param[in] S points to an instance of the floating-point LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_f32( - const arm_lms_instance_f32 * S, - const float32_t * pSrc, - float32_t * pRef, - float32_t * pOut, - float32_t * pErr, - uint32_t blockSize); - - - /** - * @brief Initialization function for floating-point LMS filter. - * @param[in] S points to an instance of the floating-point LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to the coefficient buffer. - * @param[in] pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_init_f32( - arm_lms_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - float32_t mu, - uint32_t blockSize); - - - /** - * @brief Instance structure for the Q15 LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - q15_t mu; /**< step size that controls filter coefficient updates. */ - uint32_t postShift; /**< bit shift applied to coefficients. */ - } arm_lms_instance_q15; - - - /** - * @brief Initialization function for the Q15 LMS filter. - * @param[in] S points to an instance of the Q15 LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to the coefficient buffer. - * @param[in] pState points to the state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - */ - void arm_lms_init_q15( - arm_lms_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - q15_t mu, - uint32_t blockSize, - uint32_t postShift); - - - /** - * @brief Processing function for Q15 LMS filter. - * @param[in] S points to an instance of the Q15 LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_q15( - const arm_lms_instance_q15 * S, - const q15_t * pSrc, - q15_t * pRef, - q15_t * pOut, - q15_t * pErr, - uint32_t blockSize); - - - /** - * @brief Instance structure for the Q31 LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - q31_t mu; /**< step size that controls filter coefficient updates. */ - uint32_t postShift; /**< bit shift applied to coefficients. */ - } arm_lms_instance_q31; - - - /** - * @brief Processing function for Q31 LMS filter. - * @param[in] S points to an instance of the Q15 LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_q31( - const arm_lms_instance_q31 * S, - const q31_t * pSrc, - q31_t * pRef, - q31_t * pOut, - q31_t * pErr, - uint32_t blockSize); - - - /** - * @brief Initialization function for Q31 LMS filter. - * @param[in] S points to an instance of the Q31 LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to coefficient buffer. - * @param[in] pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - */ - void arm_lms_init_q31( - arm_lms_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - q31_t mu, - uint32_t blockSize, - uint32_t postShift); - - - /** - * @brief Instance structure for the floating-point normalized LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - float32_t mu; /**< step size that control filter coefficient updates. */ - float32_t energy; /**< saves previous frame energy. */ - float32_t x0; /**< saves previous input sample. */ - } arm_lms_norm_instance_f32; - - - /** - * @brief Processing function for floating-point normalized LMS filter. - * @param[in] S points to an instance of the floating-point normalized LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_norm_f32( - arm_lms_norm_instance_f32 * S, - const float32_t * pSrc, - float32_t * pRef, - float32_t * pOut, - float32_t * pErr, - uint32_t blockSize); - - - /** - * @brief Initialization function for floating-point normalized LMS filter. - * @param[in] S points to an instance of the floating-point LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to coefficient buffer. - * @param[in] pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_norm_init_f32( - arm_lms_norm_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - float32_t mu, - uint32_t blockSize); - - - /** - * @brief Instance structure for the Q31 normalized LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - q31_t mu; /**< step size that controls filter coefficient updates. */ - uint8_t postShift; /**< bit shift applied to coefficients. */ - const q31_t *recipTable; /**< points to the reciprocal initial value table. */ - q31_t energy; /**< saves previous frame energy. */ - q31_t x0; /**< saves previous input sample. */ - } arm_lms_norm_instance_q31; - - - /** - * @brief Processing function for Q31 normalized LMS filter. - * @param[in] S points to an instance of the Q31 normalized LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_norm_q31( - arm_lms_norm_instance_q31 * S, - const q31_t * pSrc, - q31_t * pRef, - q31_t * pOut, - q31_t * pErr, - uint32_t blockSize); - - - /** - * @brief Initialization function for Q31 normalized LMS filter. - * @param[in] S points to an instance of the Q31 normalized LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to coefficient buffer. - * @param[in] pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - */ - void arm_lms_norm_init_q31( - arm_lms_norm_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - q31_t mu, - uint32_t blockSize, - uint8_t postShift); - - - /** - * @brief Instance structure for the Q15 normalized LMS filter. - */ - typedef struct - { - uint16_t numTaps; /**< Number of coefficients in the filter. */ - q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ - q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ - q15_t mu; /**< step size that controls filter coefficient updates. */ - uint8_t postShift; /**< bit shift applied to coefficients. */ - const q15_t *recipTable; /**< Points to the reciprocal initial value table. */ - q15_t energy; /**< saves previous frame energy. */ - q15_t x0; /**< saves previous input sample. */ - } arm_lms_norm_instance_q15; - - - /** - * @brief Processing function for Q15 normalized LMS filter. - * @param[in] S points to an instance of the Q15 normalized LMS filter structure. - * @param[in] pSrc points to the block of input data. - * @param[in] pRef points to the block of reference data. - * @param[out] pOut points to the block of output data. - * @param[out] pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - */ - void arm_lms_norm_q15( - arm_lms_norm_instance_q15 * S, - const q15_t * pSrc, - q15_t * pRef, - q15_t * pOut, - q15_t * pErr, - uint32_t blockSize); - - - /** - * @brief Initialization function for Q15 normalized LMS filter. - * @param[in] S points to an instance of the Q15 normalized LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] pCoeffs points to coefficient buffer. - * @param[in] pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - */ - void arm_lms_norm_init_q15( - arm_lms_norm_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - q15_t mu, - uint32_t blockSize, - uint8_t postShift); - - - /** - * @brief Correlation of floating-point sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ - void arm_correlate_f32( - const float32_t * pSrcA, - uint32_t srcALen, - const float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst); - - - /** - * @brief Correlation of floating-point sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ - void arm_correlate_f64( - const float64_t * pSrcA, - uint32_t srcALen, - const float64_t * pSrcB, - uint32_t srcBLen, - float64_t * pDst); - - -/** - @brief Correlation of Q15 sequences - @param[in] pSrcA points to the first input sequence - @param[in] srcALen length of the first input sequence - @param[in] pSrcB points to the second input sequence - @param[in] srcBLen length of the second input sequence - @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. -*/ -void arm_correlate_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch); - - -/** - @brief Correlation of Q15 sequences. - @param[in] pSrcA points to the first input sequence - @param[in] srcALen length of the first input sequence - @param[in] pSrcB points to the second input sequence - @param[in] srcBLen length of the second input sequence - @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ - void arm_correlate_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst); - - -/** - @brief Correlation of Q15 sequences (fast version). - @param[in] pSrcA points to the first input sequence - @param[in] srcALen length of the first input sequence - @param[in] pSrcB points to the second input sequence - @param[in] srcBLen length of the second input sequence - @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - */ -void arm_correlate_fast_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst); - - -/** - @brief Correlation of Q15 sequences (fast version). - @param[in] pSrcA points to the first input sequence. - @param[in] srcALen length of the first input sequence. - @param[in] pSrcB points to the second input sequence. - @param[in] srcBLen length of the second input sequence. - @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - */ -void arm_correlate_fast_opt_q15( - const q15_t * pSrcA, - uint32_t srcALen, - const q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch); - - - /** - * @brief Correlation of Q31 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ - void arm_correlate_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst); - - -/** - @brief Correlation of Q31 sequences (fast version). - @param[in] pSrcA points to the first input sequence - @param[in] srcALen length of the first input sequence - @param[in] pSrcB points to the second input sequence - @param[in] srcBLen length of the second input sequence - @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ -void arm_correlate_fast_q31( - const q31_t * pSrcA, - uint32_t srcALen, - const q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst); - - - /** - * @brief Correlation of Q7 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - */ - void arm_correlate_opt_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2); - - - /** - * @brief Correlation of Q7 sequences. - * @param[in] pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. - */ - void arm_correlate_q7( - const q7_t * pSrcA, - uint32_t srcALen, - const q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst); - - - /** - * @brief Instance structure for the floating-point sparse FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ - float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ - const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ - int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ - } arm_fir_sparse_instance_f32; - - /** - * @brief Instance structure for the Q31 sparse FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ - q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ - const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ - int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ - } arm_fir_sparse_instance_q31; - - /** - * @brief Instance structure for the Q15 sparse FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ - q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ - const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ - int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ - } arm_fir_sparse_instance_q15; - - /** - * @brief Instance structure for the Q7 sparse FIR filter. - */ - typedef struct - { - uint16_t numTaps; /**< number of coefficients in the filter. */ - uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ - q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ - const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ - uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ - int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ - } arm_fir_sparse_instance_q7; - - - /** - * @brief Processing function for the floating-point sparse FIR filter. - * @param[in] S points to an instance of the floating-point sparse FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] pScratchIn points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_sparse_f32( - arm_fir_sparse_instance_f32 * S, - const float32_t * pSrc, - float32_t * pDst, - float32_t * pScratchIn, - uint32_t blockSize); - - - /** - * @brief Initialization function for the floating-point sparse FIR filter. - * @param[in,out] S points to an instance of the floating-point sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] pCoeffs points to the array of filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - */ - void arm_fir_sparse_init_f32( - arm_fir_sparse_instance_f32 * S, - uint16_t numTaps, - const float32_t * pCoeffs, - float32_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q31 sparse FIR filter. - * @param[in] S points to an instance of the Q31 sparse FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] pScratchIn points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_sparse_q31( - arm_fir_sparse_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - q31_t * pScratchIn, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q31 sparse FIR filter. - * @param[in,out] S points to an instance of the Q31 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] pCoeffs points to the array of filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - */ - void arm_fir_sparse_init_q31( - arm_fir_sparse_instance_q31 * S, - uint16_t numTaps, - const q31_t * pCoeffs, - q31_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q15 sparse FIR filter. - * @param[in] S points to an instance of the Q15 sparse FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] pScratchIn points to a temporary buffer of size blockSize. - * @param[in] pScratchOut points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_sparse_q15( - arm_fir_sparse_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - q15_t * pScratchIn, - q31_t * pScratchOut, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q15 sparse FIR filter. - * @param[in,out] S points to an instance of the Q15 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] pCoeffs points to the array of filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - */ - void arm_fir_sparse_init_q15( - arm_fir_sparse_instance_q15 * S, - uint16_t numTaps, - const q15_t * pCoeffs, - q15_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize); - - - /** - * @brief Processing function for the Q7 sparse FIR filter. - * @param[in] S points to an instance of the Q7 sparse FIR structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] pScratchIn points to a temporary buffer of size blockSize. - * @param[in] pScratchOut points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - */ - void arm_fir_sparse_q7( - arm_fir_sparse_instance_q7 * S, - const q7_t * pSrc, - q7_t * pDst, - q7_t * pScratchIn, - q31_t * pScratchOut, - uint32_t blockSize); - - - /** - * @brief Initialization function for the Q7 sparse FIR filter. - * @param[in,out] S points to an instance of the Q7 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] pCoeffs points to the array of filter coefficients. - * @param[in] pState points to the state buffer. - * @param[in] pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - */ - void arm_fir_sparse_init_q7( - arm_fir_sparse_instance_q7 * S, - uint16_t numTaps, - const q7_t * pCoeffs, - q7_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize); - - - - - - - /** - * @brief floating-point Circular write function. - */ - __STATIC_FORCEINLINE void arm_circularWrite_f32( - int32_t * circBuffer, - int32_t L, - uint16_t * writeOffset, - int32_t bufferInc, - const int32_t * src, - int32_t srcInc, - uint32_t blockSize) - { - uint32_t i = 0U; - int32_t wOffset; - - /* Copy the value of Index pointer that points - * to the current location where the input samples to be copied */ - wOffset = *writeOffset; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the input sample to the circular buffer */ - circBuffer[wOffset] = *src; - - /* Update the input pointer */ - src += srcInc; - - /* Circularly update wOffset. Watch out for positive and negative value */ - wOffset += bufferInc; - if (wOffset >= L) - wOffset -= L; - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *writeOffset = (uint16_t)wOffset; - } - - - - /** - * @brief floating-point Circular Read function. - */ - __STATIC_FORCEINLINE void arm_circularRead_f32( - int32_t * circBuffer, - int32_t L, - int32_t * readOffset, - int32_t bufferInc, - int32_t * dst, - int32_t * dst_base, - int32_t dst_length, - int32_t dstInc, - uint32_t blockSize) - { - uint32_t i = 0U; - int32_t rOffset; - int32_t* dst_end; - - /* Copy the value of Index pointer that points - * to the current location from where the input samples to be read */ - rOffset = *readOffset; - dst_end = dst_base + dst_length; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the sample from the circular buffer to the destination buffer */ - *dst = circBuffer[rOffset]; - - /* Update the input pointer */ - dst += dstInc; - - if (dst == dst_end) - { - dst = dst_base; - } - - /* Circularly update rOffset. Watch out for positive and negative value */ - rOffset += bufferInc; - - if (rOffset >= L) - { - rOffset -= L; - } - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *readOffset = rOffset; - } - - - /** - * @brief Q15 Circular write function. - */ - __STATIC_FORCEINLINE void arm_circularWrite_q15( - q15_t * circBuffer, - int32_t L, - uint16_t * writeOffset, - int32_t bufferInc, - const q15_t * src, - int32_t srcInc, - uint32_t blockSize) - { - uint32_t i = 0U; - int32_t wOffset; - - /* Copy the value of Index pointer that points - * to the current location where the input samples to be copied */ - wOffset = *writeOffset; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the input sample to the circular buffer */ - circBuffer[wOffset] = *src; - - /* Update the input pointer */ - src += srcInc; - - /* Circularly update wOffset. Watch out for positive and negative value */ - wOffset += bufferInc; - if (wOffset >= L) - wOffset -= L; - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *writeOffset = (uint16_t)wOffset; - } - - - /** - * @brief Q15 Circular Read function. - */ - __STATIC_FORCEINLINE void arm_circularRead_q15( - q15_t * circBuffer, - int32_t L, - int32_t * readOffset, - int32_t bufferInc, - q15_t * dst, - q15_t * dst_base, - int32_t dst_length, - int32_t dstInc, - uint32_t blockSize) - { - uint32_t i = 0; - int32_t rOffset; - q15_t* dst_end; - - /* Copy the value of Index pointer that points - * to the current location from where the input samples to be read */ - rOffset = *readOffset; - - dst_end = dst_base + dst_length; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the sample from the circular buffer to the destination buffer */ - *dst = circBuffer[rOffset]; - - /* Update the input pointer */ - dst += dstInc; - - if (dst == dst_end) - { - dst = dst_base; - } - - /* Circularly update wOffset. Watch out for positive and negative value */ - rOffset += bufferInc; - - if (rOffset >= L) - { - rOffset -= L; - } - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *readOffset = rOffset; - } - - - /** - * @brief Q7 Circular write function. - */ - __STATIC_FORCEINLINE void arm_circularWrite_q7( - q7_t * circBuffer, - int32_t L, - uint16_t * writeOffset, - int32_t bufferInc, - const q7_t * src, - int32_t srcInc, - uint32_t blockSize) - { - uint32_t i = 0U; - int32_t wOffset; - - /* Copy the value of Index pointer that points - * to the current location where the input samples to be copied */ - wOffset = *writeOffset; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the input sample to the circular buffer */ - circBuffer[wOffset] = *src; - - /* Update the input pointer */ - src += srcInc; - - /* Circularly update wOffset. Watch out for positive and negative value */ - wOffset += bufferInc; - if (wOffset >= L) - wOffset -= L; - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *writeOffset = (uint16_t)wOffset; - } - - - /** - * @brief Q7 Circular Read function. - */ - __STATIC_FORCEINLINE void arm_circularRead_q7( - q7_t * circBuffer, - int32_t L, - int32_t * readOffset, - int32_t bufferInc, - q7_t * dst, - q7_t * dst_base, - int32_t dst_length, - int32_t dstInc, - uint32_t blockSize) - { - uint32_t i = 0; - int32_t rOffset; - q7_t* dst_end; - - /* Copy the value of Index pointer that points - * to the current location from where the input samples to be read */ - rOffset = *readOffset; - - dst_end = dst_base + dst_length; - - /* Loop over the blockSize */ - i = blockSize; - - while (i > 0U) - { - /* copy the sample from the circular buffer to the destination buffer */ - *dst = circBuffer[rOffset]; - - /* Update the input pointer */ - dst += dstInc; - - if (dst == dst_end) - { - dst = dst_base; - } - - /* Circularly update rOffset. Watch out for positive and negative value */ - rOffset += bufferInc; - - if (rOffset >= L) - { - rOffset -= L; - } - - /* Decrement the loop counter */ - i--; - } - - /* Update the index pointer */ - *readOffset = rOffset; - } - - -/** - @brief Levinson Durbin - @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1) - @param[out] a autoregressive coefficients - @param[out] err prediction error (variance) - @param[in] nbCoefs number of autoregressive coefficients - */ -void arm_levinson_durbin_f32(const float32_t *phi, - float32_t *a, - float32_t *err, - int nbCoefs); - - -/** - @brief Levinson Durbin - @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1) - @param[out] a autoregressive coefficients - @param[out] err prediction error (variance) - @param[in] nbCoefs number of autoregressive coefficients - */ -void arm_levinson_durbin_q31(const q31_t *phi, - q31_t *a, - q31_t *err, - int nbCoefs); - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _FILTERING_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/interpolation_functions.h b/third_party/cmsis-dsp/Include/dsp/interpolation_functions.h deleted file mode 100755 index 66ef995..0000000 --- a/third_party/cmsis-dsp/Include/dsp/interpolation_functions.h +++ /dev/null @@ -1,275 +0,0 @@ -/****************************************************************************** - * @file interpolation_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef INTERPOLATION_FUNCTIONS_H_ -#define INTERPOLATION_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - -/** - * @defgroup groupInterpolation Interpolation Functions - * These functions perform 1- and 2-dimensional interpolation of data. - * Linear interpolation is used for 1-dimensional data and - * bilinear interpolation is used for 2-dimensional data. - */ - - - /** - * @brief Instance structure for the floating-point Linear Interpolate function. - */ - typedef struct - { - uint32_t nValues; /**< nValues */ - float32_t x1; /**< x1 */ - float32_t xSpacing; /**< xSpacing */ - const float32_t *pYData; /**< pointer to the table of Y values */ - } arm_linear_interp_instance_f32; - - /** - * @brief Instance structure for the floating-point bilinear interpolation function. - */ - typedef struct - { - uint16_t numRows; /**< number of rows in the data table. */ - uint16_t numCols; /**< number of columns in the data table. */ - const float32_t *pData; /**< points to the data table. */ - } arm_bilinear_interp_instance_f32; - - /** - * @brief Instance structure for the Q31 bilinear interpolation function. - */ - typedef struct - { - uint16_t numRows; /**< number of rows in the data table. */ - uint16_t numCols; /**< number of columns in the data table. */ - const q31_t *pData; /**< points to the data table. */ - } arm_bilinear_interp_instance_q31; - - /** - * @brief Instance structure for the Q15 bilinear interpolation function. - */ - typedef struct - { - uint16_t numRows; /**< number of rows in the data table. */ - uint16_t numCols; /**< number of columns in the data table. */ - const q15_t *pData; /**< points to the data table. */ - } arm_bilinear_interp_instance_q15; - - /** - * @brief Instance structure for the Q15 bilinear interpolation function. - */ - typedef struct - { - uint16_t numRows; /**< number of rows in the data table. */ - uint16_t numCols; /**< number of columns in the data table. */ - const q7_t *pData; /**< points to the data table. */ - } arm_bilinear_interp_instance_q7; - - - /** - * @brief Struct for specifying cubic spline type - */ - typedef enum - { - ARM_SPLINE_NATURAL = 0, /**< Natural spline */ - ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */ - } arm_spline_type; - - /** - * @brief Instance structure for the floating-point cubic spline interpolation. - */ - typedef struct - { - arm_spline_type type; /**< Type (boundary conditions) */ - const float32_t * x; /**< x values */ - const float32_t * y; /**< y values */ - uint32_t n_x; /**< Number of known data points */ - float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */ - } arm_spline_instance_f32; - - - /** - * @brief Processing function for the floating-point cubic spline interpolation. - * @param[in] S points to an instance of the floating-point spline structure. - * @param[in] xq points to the x values of the interpolated data points. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples of output data. - */ - void arm_spline_f32( - arm_spline_instance_f32 * S, - const float32_t * xq, - float32_t * pDst, - uint32_t blockSize); - - /** - * @brief Initialization function for the floating-point cubic spline interpolation. - * @param[in,out] S points to an instance of the floating-point spline structure. - * @param[in] type type of cubic spline interpolation (boundary conditions) - * @param[in] x points to the x values of the known data points. - * @param[in] y points to the y values of the known data points. - * @param[in] n number of known data points. - * @param[in] coeffs coefficients array for b, c, and d - * @param[in] tempBuffer buffer array for internal computations - */ - void arm_spline_init_f32( - arm_spline_instance_f32 * S, - arm_spline_type type, - const float32_t * x, - const float32_t * y, - uint32_t n, - float32_t * coeffs, - float32_t * tempBuffer); - - - /** - * @brief Process function for the floating-point Linear Interpolation Function. - * @param[in,out] S is an instance of the floating-point Linear Interpolation structure - * @param[in] x input sample to process - * @return y processed output sample. - * - */ - float32_t arm_linear_interp_f32( - const arm_linear_interp_instance_f32 * S, - float32_t x); - - /** - * - * @brief Process function for the Q31 Linear Interpolation Function. - * @param[in] pYData pointer to Q31 Linear Interpolation table - * @param[in] x input sample to process - * @param[in] nValues number of table values - * @return y processed output sample. - * - * \par - * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. - * This function can support maximum of table size 2^12. - * - */ - q31_t arm_linear_interp_q31( - const q31_t * pYData, - q31_t x, - uint32_t nValues); - - /** - * - * @brief Process function for the Q15 Linear Interpolation Function. - * @param[in] pYData pointer to Q15 Linear Interpolation table - * @param[in] x input sample to process - * @param[in] nValues number of table values - * @return y processed output sample. - * - * \par - * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. - * This function can support maximum of table size 2^12. - * - */ - q15_t arm_linear_interp_q15( - const q15_t * pYData, - q31_t x, - uint32_t nValues); - - /** - * - * @brief Process function for the Q7 Linear Interpolation Function. - * @param[in] pYData pointer to Q7 Linear Interpolation table - * @param[in] x input sample to process - * @param[in] nValues number of table values - * @return y processed output sample. - * - * \par - * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. - * This function can support maximum of table size 2^12. - */ -q7_t arm_linear_interp_q7( - const q7_t * pYData, - q31_t x, - uint32_t nValues); - - /** - * @brief Floating-point bilinear interpolation. - * @param[in,out] S points to an instance of the interpolation structure. - * @param[in] X interpolation coordinate. - * @param[in] Y interpolation coordinate. - * @return out interpolated value. - */ - float32_t arm_bilinear_interp_f32( - const arm_bilinear_interp_instance_f32 * S, - float32_t X, - float32_t Y); - - /** - * @brief Q31 bilinear interpolation. - * @param[in,out] S points to an instance of the interpolation structure. - * @param[in] X interpolation coordinate in 12.20 format. - * @param[in] Y interpolation coordinate in 12.20 format. - * @return out interpolated value. - */ - q31_t arm_bilinear_interp_q31( - arm_bilinear_interp_instance_q31 * S, - q31_t X, - q31_t Y); - - - /** - * @brief Q15 bilinear interpolation. - * @param[in,out] S points to an instance of the interpolation structure. - * @param[in] X interpolation coordinate in 12.20 format. - * @param[in] Y interpolation coordinate in 12.20 format. - * @return out interpolated value. - */ - q15_t arm_bilinear_interp_q15( - arm_bilinear_interp_instance_q15 * S, - q31_t X, - q31_t Y); - - /** - * @brief Q7 bilinear interpolation. - * @param[in,out] S points to an instance of the interpolation structure. - * @param[in] X interpolation coordinate in 12.20 format. - * @param[in] Y interpolation coordinate in 12.20 format. - * @return out interpolated value. - */ - q7_t arm_bilinear_interp_q7( - arm_bilinear_interp_instance_q7 * S, - q31_t X, - q31_t Y); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/matrix_functions.h b/third_party/cmsis-dsp/Include/dsp/matrix_functions.h deleted file mode 100755 index a19144b..0000000 --- a/third_party/cmsis-dsp/Include/dsp/matrix_functions.h +++ /dev/null @@ -1,871 +0,0 @@ -/****************************************************************************** - * @file matrix_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.1 - * @date 10 August 2022 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef MATRIX_FUNCTIONS_H_ -#define MATRIX_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupMatrix Matrix Functions - * - * This set of functions provides basic matrix math operations. - * The functions operate on matrix data structures. For example, - * the type - * definition for the floating-point matrix structure is shown - * below: - * 
- *     typedef struct
- *     {
- *       uint16_t numRows;     // number of rows of the matrix.
- *       uint16_t numCols;     // number of columns of the matrix.
- *       float32_t *pData;     // points to the data of the matrix.
- *     } arm_matrix_instance_f32;
- *
- * There are similar definitions for Q15 and Q31 data types. - * - * The structure specifies the size of the matrix and then points to - * an array of data. The array is of size numRows X numCols - * and the values are arranged in row order. That is, the - * matrix element (i, j) is stored at: - * 
- *     pData[i*numCols + j]
- *
- * - * \par Init Functions - * There is an associated initialization function for each type of matrix - * data structure. - * The initialization function sets the values of the internal structure fields. - * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() - * for floating-point, Q31 and Q15 types, respectively. - * - * \par - * Use of the initialization function is optional. However, if initialization function is used - * then the instance structure cannot be placed into a const data section. - * To place the instance structure in a const data - * section, manually initialize the data structure. For example: - * 
- * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
- *
- * where nRows specifies the number of rows, nColumns - * specifies the number of columns, and pData points to the - * data array. - * - * \par Size Checking - * By default all of the matrix functions perform size checking on the input and - * output matrices. For example, the matrix addition function verifies that the - * two input matrices and the output matrix all have the same number of rows and - * columns. If the size check fails the functions return: - * 
- *     ARM_MATH_SIZE_MISMATCH
- *
- * Otherwise the functions return - * 
- *     ARM_MATH_SUCCESS
- *
- * There is some overhead associated with this matrix size checking. - * The matrix size checking is enabled via the \#define - * 
- *     ARM_MATH_MATRIX_CHECK
- *
- * within the library project settings. By default this macro is defined - * and size checking is enabled. By changing the project settings and - * undefining this macro size checking is eliminated and the functions - * run a bit faster. With size checking disabled the functions always - * return ARM_MATH_SUCCESS. - */ - - #define DEFAULT_HOUSEHOLDER_THRESHOLD_F64 (1.0e-16) - #define DEFAULT_HOUSEHOLDER_THRESHOLD_F32 (1.0e-12f) - - /** - * @brief Instance structure for the floating-point matrix structure. - */ - typedef struct - { - uint16_t numRows; /**< number of rows of the matrix. */ - uint16_t numCols; /**< number of columns of the matrix. */ - float32_t *pData; /**< points to the data of the matrix. */ - } arm_matrix_instance_f32; - - /** - * @brief Instance structure for the floating-point matrix structure. - */ - typedef struct - { - uint16_t numRows; /**< number of rows of the matrix. */ - uint16_t numCols; /**< number of columns of the matrix. */ - float64_t *pData; /**< points to the data of the matrix. */ - } arm_matrix_instance_f64; - - /** - * @brief Instance structure for the Q7 matrix structure. - */ - typedef struct - { - uint16_t numRows; /**< number of rows of the matrix. */ - uint16_t numCols; /**< number of columns of the matrix. */ - q7_t *pData; /**< points to the data of the matrix. */ - } arm_matrix_instance_q7; - - /** - * @brief Instance structure for the Q15 matrix structure. - */ - typedef struct - { - uint16_t numRows; /**< number of rows of the matrix. */ - uint16_t numCols; /**< number of columns of the matrix. */ - q15_t *pData; /**< points to the data of the matrix. */ - } arm_matrix_instance_q15; - - /** - * @brief Instance structure for the Q31 matrix structure. - */ - typedef struct - { - uint16_t numRows; /**< number of rows of the matrix. */ - uint16_t numCols; /**< number of columns of the matrix. */ - q31_t *pData; /**< points to the data of the matrix. */ - } arm_matrix_instance_q31; - - /** - * @brief Floating-point matrix addition. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_add_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst); - - /** - * @brief Q15 matrix addition. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_add_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst); - - /** - * @brief Q31 matrix addition. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_add_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Floating-point, complex, matrix multiplication. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_mult_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst); - - /** - * @brief Q15, complex, matrix multiplication. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_mult_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst, - q15_t * pScratch); - - /** - * @brief Q31, complex, matrix multiplication. - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_mult_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Floating-point matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_trans_f32( - const arm_matrix_instance_f32 * pSrc, - arm_matrix_instance_f32 * pDst); - -/** - * @brief Floating-point matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_trans_f64( - const arm_matrix_instance_f64 * pSrc, - arm_matrix_instance_f64 * pDst); - - /** - * @brief Floating-point complex matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_trans_f32( - const arm_matrix_instance_f32 * pSrc, - arm_matrix_instance_f32 * pDst); - - - /** - * @brief Q15 matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_trans_q15( - const arm_matrix_instance_q15 * pSrc, - arm_matrix_instance_q15 * pDst); - - /** - * @brief Q15 complex matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_trans_q15( - const arm_matrix_instance_q15 * pSrc, - arm_matrix_instance_q15 * pDst); - - /** - * @brief Q7 matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_trans_q7( - const arm_matrix_instance_q7 * pSrc, - arm_matrix_instance_q7 * pDst); - - /** - * @brief Q31 matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_trans_q31( - const arm_matrix_instance_q31 * pSrc, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Q31 complex matrix transpose. - * @param[in] pSrc points to the input matrix - * @param[out] pDst points to the output matrix - * @return The function returns either ARM_MATH_SIZE_MISMATCH - * or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_cmplx_trans_q31( - const arm_matrix_instance_q31 * pSrc, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Floating-point matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst); - - /** - * @brief Floating-point matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_f64( - const arm_matrix_instance_f64 * pSrcA, - const arm_matrix_instance_f64 * pSrcB, - arm_matrix_instance_f64 * pDst); - - /** - * @brief Floating-point matrix and vector multiplication - * @param[in] pSrcMat points to the input matrix structure - * @param[in] pVec points to vector - * @param[out] pDst points to output vector - */ -void arm_mat_vec_mult_f32( - const arm_matrix_instance_f32 *pSrcMat, - const float32_t *pVec, - float32_t *pDst); - - /** - * @brief Q7 matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @param[in] pState points to the array for storing intermediate results - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_q7( - const arm_matrix_instance_q7 * pSrcA, - const arm_matrix_instance_q7 * pSrcB, - arm_matrix_instance_q7 * pDst, - q7_t * pState); - - /** - * @brief Q7 matrix and vector multiplication - * @param[in] pSrcMat points to the input matrix structure - * @param[in] pVec points to vector - * @param[out] pDst points to output vector - */ -void arm_mat_vec_mult_q7( - const arm_matrix_instance_q7 *pSrcMat, - const q7_t *pVec, - q7_t *pDst); - - /** - * @brief Q15 matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @param[in] pState points to the array for storing intermediate results - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst, - q15_t * pState); - - /** - * @brief Q15 matrix and vector multiplication - * @param[in] pSrcMat points to the input matrix structure - * @param[in] pVec points to vector - * @param[out] pDst points to output vector - */ -void arm_mat_vec_mult_q15( - const arm_matrix_instance_q15 *pSrcMat, - const q15_t *pVec, - q15_t *pDst); - - /** - * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @param[in] pState points to the array for storing intermediate results - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_fast_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst, - q15_t * pState); - - /** - * @brief Q31 matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Q31 matrix multiplication - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @param[in] pState points to the array for storing intermediate results - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_opt_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst, - q31_t *pState); - - /** - * @brief Q31 matrix and vector multiplication - * @param[in] pSrcMat points to the input matrix structure - * @param[in] pVec points to vector - * @param[out] pDst points to output vector - */ -void arm_mat_vec_mult_q31( - const arm_matrix_instance_q31 *pSrcMat, - const q31_t *pVec, - q31_t *pDst); - - /** - * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_mult_fast_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Floating-point matrix subtraction - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_sub_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst); - - /** - * @brief Floating-point matrix subtraction - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_sub_f64( - const arm_matrix_instance_f64 * pSrcA, - const arm_matrix_instance_f64 * pSrcB, - arm_matrix_instance_f64 * pDst); - - /** - * @brief Q15 matrix subtraction - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_sub_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst); - - /** - * @brief Q31 matrix subtraction - * @param[in] pSrcA points to the first input matrix structure - * @param[in] pSrcB points to the second input matrix structure - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_sub_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Floating-point matrix scaling. - * @param[in] pSrc points to the input matrix - * @param[in] scale scale factor - * @param[out] pDst points to the output matrix - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_scale_f32( - const arm_matrix_instance_f32 * pSrc, - float32_t scale, - arm_matrix_instance_f32 * pDst); - - /** - * @brief Q15 matrix scaling. - * @param[in] pSrc points to input matrix - * @param[in] scaleFract fractional portion of the scale factor - * @param[in] shift number of bits to shift the result by - * @param[out] pDst points to output matrix - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_scale_q15( - const arm_matrix_instance_q15 * pSrc, - q15_t scaleFract, - int32_t shift, - arm_matrix_instance_q15 * pDst); - - /** - * @brief Q31 matrix scaling. - * @param[in] pSrc points to input matrix - * @param[in] scaleFract fractional portion of the scale factor - * @param[in] shift number of bits to shift the result by - * @param[out] pDst points to output matrix structure - * @return The function returns either - * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. - */ -arm_status arm_mat_scale_q31( - const arm_matrix_instance_q31 * pSrc, - q31_t scaleFract, - int32_t shift, - arm_matrix_instance_q31 * pDst); - - /** - * @brief Q31 matrix initialization. - * @param[in,out] S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] pData points to the matrix data array. - */ -void arm_mat_init_q31( - arm_matrix_instance_q31 * S, - uint16_t nRows, - uint16_t nColumns, - q31_t * pData); - - /** - * @brief Q15 matrix initialization. - * @param[in,out] S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] pData points to the matrix data array. - */ -void arm_mat_init_q15( - arm_matrix_instance_q15 * S, - uint16_t nRows, - uint16_t nColumns, - q15_t * pData); - - /** - * @brief Q7 matrix initialization. - * @param[in,out] S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] pData points to the matrix data array. - */ -void arm_mat_init_q7( - arm_matrix_instance_q7 * S, - uint16_t nRows, - uint16_t nColumns, - q7_t * pData); - - /** - * @brief Floating-point matrix initialization. - * @param[in,out] S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] pData points to the matrix data array. - */ -void arm_mat_init_f32( - arm_matrix_instance_f32 * S, - uint16_t nRows, - uint16_t nColumns, - float32_t * pData); - -/** - * @brief Floating-point matrix initialization. - * @param[in,out] S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] pData points to the matrix data array. - */ -void arm_mat_init_f64( - arm_matrix_instance_f64 * S, - uint16_t nRows, - uint16_t nColumns, - float64_t * pData); - - - - - /** - * @brief Floating-point matrix inverse. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] dst points to the instance of the output floating-point matrix structure. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. - */ - arm_status arm_mat_inverse_f32( - const arm_matrix_instance_f32 * src, - arm_matrix_instance_f32 * dst); - - - /** - * @brief Floating-point matrix inverse. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] dst points to the instance of the output floating-point matrix structure. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. - */ - arm_status arm_mat_inverse_f64( - const arm_matrix_instance_f64 * src, - arm_matrix_instance_f64 * dst); - - /** - * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] dst points to the instance of the output floating-point matrix structure. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE. - * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition. - * The decomposition is returning a lower triangular matrix. - */ - arm_status arm_mat_cholesky_f64( - const arm_matrix_instance_f64 * src, - arm_matrix_instance_f64 * dst); - - /** - * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] dst points to the instance of the output floating-point matrix structure. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE. - * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition. - * The decomposition is returning a lower triangular matrix. - */ - arm_status arm_mat_cholesky_f32( - const arm_matrix_instance_f32 * src, - arm_matrix_instance_f32 * dst); - - /** - * @brief Solve UT . X = A where UT is an upper triangular matrix - * @param[in] ut The upper triangular matrix - * @param[in] a The matrix a - * @param[out] dst The solution X of UT . X = A - * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved. - */ - arm_status arm_mat_solve_upper_triangular_f32( - const arm_matrix_instance_f32 * ut, - const arm_matrix_instance_f32 * a, - arm_matrix_instance_f32 * dst); - - /** - * @brief Solve LT . X = A where LT is a lower triangular matrix - * @param[in] lt The lower triangular matrix - * @param[in] a The matrix a - * @param[out] dst The solution X of LT . X = A - * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved. - */ - arm_status arm_mat_solve_lower_triangular_f32( - const arm_matrix_instance_f32 * lt, - const arm_matrix_instance_f32 * a, - arm_matrix_instance_f32 * dst); - - - /** - * @brief Solve UT . X = A where UT is an upper triangular matrix - * @param[in] ut The upper triangular matrix - * @param[in] a The matrix a - * @param[out] dst The solution X of UT . X = A - * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved. - */ - arm_status arm_mat_solve_upper_triangular_f64( - const arm_matrix_instance_f64 * ut, - const arm_matrix_instance_f64 * a, - arm_matrix_instance_f64 * dst); - - /** - * @brief Solve LT . X = A where LT is a lower triangular matrix - * @param[in] lt The lower triangular matrix - * @param[in] a The matrix a - * @param[out] dst The solution X of LT . X = A - * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved. - */ - arm_status arm_mat_solve_lower_triangular_f64( - const arm_matrix_instance_f64 * lt, - const arm_matrix_instance_f64 * a, - arm_matrix_instance_f64 * dst); - - - /** - * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] l points to the instance of the output floating-point triangular matrix structure. - * @param[out] d points to the instance of the output floating-point diagonal matrix structure. - * @param[out] p points to the instance of the output floating-point permutation vector. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE. - * The decomposition is returning a lower triangular matrix. - */ - arm_status arm_mat_ldlt_f32( - const arm_matrix_instance_f32 * src, - arm_matrix_instance_f32 * l, - arm_matrix_instance_f32 * d, - uint16_t * pp); - - /** - * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix. - * @param[in] src points to the instance of the input floating-point matrix structure. - * @param[out] l points to the instance of the output floating-point triangular matrix structure. - * @param[out] d points to the instance of the output floating-point diagonal matrix structure. - * @param[out] p points to the instance of the output floating-point permutation vector. - * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. - * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE. - * The decomposition is returning a lower triangular matrix. - */ - arm_status arm_mat_ldlt_f64( - const arm_matrix_instance_f64 * src, - arm_matrix_instance_f64 * l, - arm_matrix_instance_f64 * d, - uint16_t * pp); - -/** - @brief QR decomposition of a m x n floating point matrix with m >= n. - @param[in] pSrc points to input matrix structure. The source matrix is modified by the function. - @param[in] threshold norm2 threshold. - @param[out] pOutR points to output R matrix structure of dimension m x n - @param[out] pOutQ points to output Q matrix structure of dimension m x m - @param[out] pOutTau points to Householder scaling factors of dimension n - @param[inout] pTmpA points to a temporary vector of dimension m. - @param[inout] pTmpB points to a temporary vector of dimension n. - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed - - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible) - */ - -arm_status arm_mat_qr_f32( - const arm_matrix_instance_f32 * pSrc, - const float32_t threshold, - arm_matrix_instance_f32 * pOutR, - arm_matrix_instance_f32 * pOutQ, - float32_t * pOutTau, - float32_t *pTmpA, - float32_t *pTmpB - ); - -/** - @brief QR decomposition of a m x n floating point matrix with m >= n. - @param[in] pSrc points to input matrix structure. The source matrix is modified by the function. - @param[in] threshold norm2 threshold. - @param[out] pOutR points to output R matrix structure of dimension m x n - @param[out] pOutQ points to output Q matrix structure of dimension m x m - @param[out] pOutTau points to Householder scaling factors of dimension n - @param[inout] pTmpA points to a temporary vector of dimension m. - @param[inout] pTmpB points to a temporary vector of dimension n. - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed - - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible) - */ - -arm_status arm_mat_qr_f64( - const arm_matrix_instance_f64 * pSrc, - const float64_t threshold, - arm_matrix_instance_f64 * pOutR, - arm_matrix_instance_f64 * pOutQ, - float64_t * pOutTau, - float64_t *pTmpA, - float64_t *pTmpB - ); - -/** - @brief Householder transform of a floating point vector. - @param[in] pSrc points to the input vector. - @param[in] threshold norm2 threshold. - @param[in] blockSize dimension of the vector space. - @param[outQ] pOut points to the output vector. - @return beta return the scaling factor beta - */ - -float32_t arm_householder_f32( - const float32_t * pSrc, - const float32_t threshold, - uint32_t blockSize, - float32_t * pOut - ); - -/** - @brief Householder transform of a double floating point vector. - @param[in] pSrc points to the input vector. - @param[in] threshold norm2 threshold. - @param[in] blockSize dimension of the vector space. - @param[outQ] pOut points to the output vector. - @return beta return the scaling factor beta - */ - -float64_t arm_householder_f64( - const float64_t * pSrc, - const float64_t threshold, - uint32_t blockSize, - float64_t * pOut - ); - - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _MATRIX_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/none.h b/third_party/cmsis-dsp/Include/dsp/none.h deleted file mode 100755 index 019c41f..0000000 --- a/third_party/cmsis-dsp/Include/dsp/none.h +++ /dev/null @@ -1,576 +0,0 @@ -/****************************************************************************** - * @file none.h - * @brief Intrinsics when no DSP extension available - * @version V1.9.0 - * @date 20. July 2020 - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - -Definitions in this file are allowing to reuse some versions of the -CMSIS-DSP to build on a core (M0 for instance) or a host where -DSP extension are not available. - -Ideally a pure C version should have been used instead. -But those are not always available or use a restricted set -of intrinsics. - -*/ - -#ifndef NONE_H_ -#define NONE_H_ - -#include "arm_math_types.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - - -/* - -Normally those kind of definitions are in a compiler file -in Core or Core_A. - -But for MSVC compiler it is a bit special. The goal is very specific -to CMSIS-DSP and only to allow the use of this library from other -systems like Python or Matlab. - -MSVC is not going to be used to cross-compile to ARM. So, having a MSVC -compiler file in Core or Core_A would not make sense. - -*/ -#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) || defined(__APPLE_CC__) - __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data) - { - if (data == 0U) { return 32U; } - - uint32_t count = 0U; - uint32_t mask = 0x80000000U; - - while ((data & mask) == 0U) - { - count += 1U; - mask = mask >> 1U; - } - return ((uint8_t)count); - } - - __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) - { - if ((sat >= 1U) && (sat <= 32U)) - { - const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); - const int32_t min = -1 - max ; - if (val > max) - { - return max; - } - else if (val < min) - { - return min; - } - } - return val; - } - - __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) - { - if (sat <= 31U) - { - const uint32_t max = ((1U << sat) - 1U); - if (val > (int32_t)max) - { - return max; - } - else if (val < 0) - { - return 0U; - } - } - return (uint32_t)val; - } - - /** - \brief Rotate Right in unsigned value (32 bit) - \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. - \param [in] op1 Value to rotate - \param [in] op2 Number of Bits to rotate - \return Rotated value - */ -__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) -{ - op2 %= 32U; - if (op2 == 0U) - { - return op1; - } - return (op1 >> op2) | (op1 << (32U - op2)); -} - - -#endif - -/** - * @brief Clips Q63 to Q31 values. - */ - __STATIC_FORCEINLINE q31_t clip_q63_to_q31( - q63_t x) - { - return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? - ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x; - } - - /** - * @brief Clips Q63 to Q15 values. - */ - __STATIC_FORCEINLINE q15_t clip_q63_to_q15( - q63_t x) - { - return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? - ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15); - } - - /** - * @brief Clips Q31 to Q7 values. - */ - __STATIC_FORCEINLINE q7_t clip_q31_to_q7( - q31_t x) - { - return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ? - ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x; - } - - /** - * @brief Clips Q31 to Q15 values. - */ - __STATIC_FORCEINLINE q15_t clip_q31_to_q15( - q31_t x) - { - return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ? - ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x; - } - - /** - * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format. - */ - __STATIC_FORCEINLINE q63_t mult32x64( - q63_t x, - q31_t y) - { - return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) + - (((q63_t) (x >> 32) * y) ) ); - } - -/* SMMLAR */ -#define multAcc_32x32_keep32_R(a, x, y) \ - a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) - -/* SMMLSR */ -#define multSub_32x32_keep32_R(a, x, y) \ - a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) - -/* SMMULR */ -#define mult_32x32_keep32_R(a, x, y) \ - a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) - -/* SMMLA */ -#define multAcc_32x32_keep32(a, x, y) \ - a += (q31_t) (((q63_t) x * y) >> 32) - -/* SMMLS */ -#define multSub_32x32_keep32(a, x, y) \ - a -= (q31_t) (((q63_t) x * y) >> 32) - -/* SMMUL */ -#define mult_32x32_keep32(a, x, y) \ - a = (q31_t) (((q63_t) x * y ) >> 32) - -#ifndef ARM_MATH_DSP - /** - * @brief definition to pack two 16 bit values. - */ - #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ - (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) - #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ - (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) -#endif - - /** - * @brief definition to pack four 8 bit values. - */ -#ifndef ARM_MATH_BIG_ENDIAN - #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \ - (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \ - (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \ - (((int32_t)(v3) << 24) & (int32_t)0xFF000000) ) -#else - #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \ - (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \ - (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \ - (((int32_t)(v0) << 24) & (int32_t)0xFF000000) ) -#endif - - - - -/* - * @brief C custom defined intrinsic functions - */ -#if !defined (ARM_MATH_DSP) - - - /* - * @brief C custom defined QADD8 - */ - __STATIC_FORCEINLINE uint32_t __QADD8( - uint32_t x, - uint32_t y) - { - q31_t r, s, t, u; - - r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; - s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; - t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; - u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; - - return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); - } - - - /* - * @brief C custom defined QSUB8 - */ - __STATIC_FORCEINLINE uint32_t __QSUB8( - uint32_t x, - uint32_t y) - { - q31_t r, s, t, u; - - r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; - s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; - t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; - u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; - - return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); - } - - - /* - * @brief C custom defined QADD16 - */ - __STATIC_FORCEINLINE uint32_t __QADD16( - uint32_t x, - uint32_t y) - { -/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */ - q31_t r = 0, s = 0; - - r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; - s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined SHADD16 - */ - __STATIC_FORCEINLINE uint32_t __SHADD16( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; - s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined QSUB16 - */ - __STATIC_FORCEINLINE uint32_t __QSUB16( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; - s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined SHSUB16 - */ - __STATIC_FORCEINLINE uint32_t __SHSUB16( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; - s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined QASX - */ - __STATIC_FORCEINLINE uint32_t __QASX( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; - s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined SHASX - */ - __STATIC_FORCEINLINE uint32_t __SHASX( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; - s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined QSAX - */ - __STATIC_FORCEINLINE uint32_t __QSAX( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; - s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined SHSAX - */ - __STATIC_FORCEINLINE uint32_t __SHSAX( - uint32_t x, - uint32_t y) - { - q31_t r, s; - - r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; - s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; - - return ((uint32_t)((s << 16) | (r ))); - } - - - /* - * @brief C custom defined SMUSDX - */ - __STATIC_FORCEINLINE uint32_t __SMUSDX( - uint32_t x, - uint32_t y) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - - ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); - } - - /* - * @brief C custom defined SMUADX - */ - __STATIC_FORCEINLINE uint32_t __SMUADX( - uint32_t x, - uint32_t y) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); - } - - - /* - * @brief C custom defined QADD - */ - __STATIC_FORCEINLINE int32_t __QADD( - int32_t x, - int32_t y) - { - return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y))); - } - - - /* - * @brief C custom defined QSUB - */ - __STATIC_FORCEINLINE int32_t __QSUB( - int32_t x, - int32_t y) - { - return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y))); - } - - - /* - * @brief C custom defined SMLAD - */ - __STATIC_FORCEINLINE uint32_t __SMLAD( - uint32_t x, - uint32_t y, - uint32_t sum) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + - ( ((q31_t)sum ) ) )); - } - - - /* - * @brief C custom defined SMLADX - */ - __STATIC_FORCEINLINE uint32_t __SMLADX( - uint32_t x, - uint32_t y, - uint32_t sum) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + - ( ((q31_t)sum ) ) )); - } - - - /* - * @brief C custom defined SMLSDX - */ - __STATIC_FORCEINLINE uint32_t __SMLSDX( - uint32_t x, - uint32_t y, - uint32_t sum) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - - ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + - ( ((q31_t)sum ) ) )); - } - - - /* - * @brief C custom defined SMLALD - */ - __STATIC_FORCEINLINE uint64_t __SMLALD( - uint32_t x, - uint32_t y, - uint64_t sum) - { -/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */ - return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + - ( ((q63_t)sum ) ) )); - } - - - /* - * @brief C custom defined SMLALDX - */ - __STATIC_FORCEINLINE uint64_t __SMLALDX( - uint32_t x, - uint32_t y, - uint64_t sum) - { -/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */ - return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + - ( ((q63_t)sum ) ) )); - } - - - /* - * @brief C custom defined SMUAD - */ - __STATIC_FORCEINLINE uint32_t __SMUAD( - uint32_t x, - uint32_t y) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + - ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); - } - - - /* - * @brief C custom defined SMUSD - */ - __STATIC_FORCEINLINE uint32_t __SMUSD( - uint32_t x, - uint32_t y) - { - return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) - - ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); - } - - - /* - * @brief C custom defined SXTB16 - */ - __STATIC_FORCEINLINE uint32_t __SXTB16( - uint32_t x) - { - return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) | - ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) )); - } - - /* - * @brief C custom defined SMMLA - */ - __STATIC_FORCEINLINE int32_t __SMMLA( - int32_t x, - int32_t y, - int32_t sum) - { - return (sum + (int32_t) (((int64_t) x * y) >> 32)); - } - -#endif /* !defined (ARM_MATH_DSP) */ - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/quaternion_math_functions.h b/third_party/cmsis-dsp/Include/dsp/quaternion_math_functions.h deleted file mode 100755 index 6c823a3..0000000 --- a/third_party/cmsis-dsp/Include/dsp/quaternion_math_functions.h +++ /dev/null @@ -1,153 +0,0 @@ -/****************************************************************************** - * @file quaternion_math_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef QUATERNION_MATH_FUNCTIONS_H_ -#define QUATERNION_MATH_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupQuaternionMath Quaternion Math Functions - * Functions to operates on quaternions and convert between a - * rotation and quaternion representation. - */ - - -/** - @brief Floating-point quaternion Norm. - @param[in] pInputQuaternions points to the input vector of quaternions - @param[out] pNorms points to the output vector of norms - @param[in] nbQuaternions number of quaternions in each vector - */ -void arm_quaternion_norm_f32(const float32_t *pInputQuaternions, - float32_t *pNorms, - uint32_t nbQuaternions); - - -/** - @brief Floating-point quaternion inverse. - @param[in] pInputQuaternions points to the input vector of quaternions - @param[out] pInverseQuaternions points to the output vector of inverse quaternions - @param[in] nbQuaternions number of quaternions in each vector - */ -void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions, - float32_t *pInverseQuaternions, - uint32_t nbQuaternions); - - -/** - @brief Floating-point quaternion conjugates. - @param[in] pInputQuaternions points to the input vector of quaternions - @param[out] pConjugateQuaternions points to the output vector of conjugate quaternions - @param[in] nbQuaternions number of quaternions in each vector - */ -void arm_quaternion_conjugate_f32(const float32_t *inputQuaternions, - float32_t *pConjugateQuaternions, - uint32_t nbQuaternions); - - -/** - @brief Floating-point normalization of quaternions. - @param[in] pInputQuaternions points to the input vector of quaternions - @param[out] pNormalizedQuaternions points to the output vector of normalized quaternions - @param[in] nbQuaternions number of quaternions in each vector - */ -void arm_quaternion_normalize_f32(const float32_t *inputQuaternions, - float32_t *pNormalizedQuaternions, - uint32_t nbQuaternions); - - -/** - @brief Floating-point product of two quaternions. - @param[in] qa First quaternion - @param[in] qb Second quaternion - @param[out] r Product of two quaternions - */ -void arm_quaternion_product_single_f32(const float32_t *qa, - const float32_t *qb, - float32_t *r); - - -/** - @brief Floating-point elementwise product two quaternions. - @param[in] qa First array of quaternions - @param[in] qb Second array of quaternions - @param[out] r Elementwise product of quaternions - @param[in] nbQuaternions Number of quaternions in the array - */ -void arm_quaternion_product_f32(const float32_t *qa, - const float32_t *qb, - float32_t *r, - uint32_t nbQuaternions); - - -/** - * @brief Conversion of quaternion to equivalent rotation matrix. - * @param[in] pInputQuaternions points to an array of normalized quaternions - * @param[out] pOutputRotations points to an array of 3x3 rotations (in row order) - * @param[in] nbQuaternions in the array - * - * Format of rotation matrix - * \par - * The quaternion a + ib + jc + kd is converted into rotation matrix: - * a^2 + b^2 - c^2 - d^2 2bc - 2ad 2bd + 2ac - * 2bc + 2ad a^2 - b^2 + c^2 - d^2 2cd - 2ab - * 2bd - 2ac 2cd + 2ab a^2 - b^2 - c^2 + d^2 - * - * Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22 - */ -void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions, - float32_t *pOutputRotations, - uint32_t nbQuaternions); - - -/** - * @brief Conversion of a rotation matrix to equivalent quaternion. - * @param[in] pInputRotations points to an array 3x3 rotation matrix (in row order) - * @param[out] pOutputQuaternions points to an array of quaternions - * @param[in] nbQuaternions in the array -*/ -void arm_rotation2quaternion_f32(const float32_t *pInputRotations, - float32_t *pOutputQuaternions, - uint32_t nbQuaternions); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _QUATERNION_MATH_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/statistics_functions.h b/third_party/cmsis-dsp/Include/dsp/statistics_functions.h deleted file mode 100755 index 301aadd..0000000 --- a/third_party/cmsis-dsp/Include/dsp/statistics_functions.h +++ /dev/null @@ -1,988 +0,0 @@ -/****************************************************************************** - * @file statistics_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.1 - * @date 14 July 2022 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef STATISTICS_FUNCTIONS_H_ -#define STATISTICS_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/basic_math_functions.h" -#include "dsp/fast_math_functions.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - - -/** - * @defgroup groupStats Statistics Functions - */ - -/** - * @brief Computation of the LogSumExp - * - * In probabilistic computations, the dynamic of the probability values can be very - * wide because they come from gaussian functions. - * To avoid underflow and overflow issues, the values are represented by their log. - * In this representation, multiplying the original exp values is easy : their logs are added. - * But adding the original exp values is requiring some special handling and it is the - * goal of the LogSumExp function. - * - * If the values are x1...xn, the function is computing: - * - * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that - * rounding issues are minimised. - * - * The max xm of the values is extracted and the function is computing: - * xm + ln(exp(x1 - xm) + ... + exp(xn - xm)) - * - * @param[in] *in Pointer to an array of input values. - * @param[in] blockSize Number of samples in the input array. - * @return LogSumExp - * - */ - - -float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize); - -/** - * @brief Dot product with log arithmetic - * - * Vectors are containing the log of the samples - * - * @param[in] pSrcA points to the first input vector - * @param[in] pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[in] pTmpBuffer temporary buffer of length blockSize - * @return The log of the dot product . - * - */ - - -float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA, - const float32_t * pSrcB, - uint32_t blockSize, - float32_t *pTmpBuffer); - -/** - * @brief Entropy - * - * @param[in] pSrcA Array of input values. - * @param[in] blockSize Number of samples in the input array. - * @return Entropy -Sum(p ln p) - * - */ - - -float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize); - - -/** - * @brief Entropy - * - * @param[in] pSrcA Array of input values. - * @param[in] blockSize Number of samples in the input array. - * @return Entropy -Sum(p ln p) - * - */ - - -float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize); - - -/** - * @brief Kullback-Leibler - * - * @param[in] pSrcA Pointer to an array of input values for probability distribution A. - * @param[in] pSrcB Pointer to an array of input values for probability distribution B. - * @param[in] blockSize Number of samples in the input array. - * @return Kullback-Leibler Divergence D(A || B) - * - */ -float32_t arm_kullback_leibler_f32(const float32_t * pSrcA - ,const float32_t * pSrcB - ,uint32_t blockSize); - - -/** - * @brief Kullback-Leibler - * - * @param[in] pSrcA Pointer to an array of input values for probability distribution A. - * @param[in] pSrcB Pointer to an array of input values for probability distribution B. - * @param[in] blockSize Number of samples in the input array. - * @return Kullback-Leibler Divergence D(A || B) - * - */ -float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, - const float64_t * pSrcB, - uint32_t blockSize); - - - /** - * @brief Sum of the squares of the elements of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_power_q31( - const q31_t * pSrc, - uint32_t blockSize, - q63_t * pResult); - - - /** - * @brief Sum of the squares of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_power_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Sum of the squares of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_power_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - - /** - * @brief Sum of the squares of the elements of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_power_q15( - const q15_t * pSrc, - uint32_t blockSize, - q63_t * pResult); - - - /** - * @brief Sum of the squares of the elements of a Q7 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_power_q7( - const q7_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Mean value of a Q7 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_mean_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult); - - - /** - * @brief Mean value of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_mean_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - - - /** - * @brief Mean value of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_mean_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Mean value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_mean_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Mean value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_mean_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - - /** - * @brief Variance of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_var_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Variance of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_var_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - - /** - * @brief Variance of the elements of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_var_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Variance of the elements of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_var_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - - - /** - * @brief Root Mean Square of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_rms_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Root Mean Square of the elements of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_rms_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Root Mean Square of the elements of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_rms_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - - - /** - * @brief Standard deviation of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_std_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Standard deviation of the elements of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_std_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - - /** - * @brief Standard deviation of the elements of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_std_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Standard deviation of the elements of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - void arm_std_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - - - - /** - * @brief Minimum value of a Q7 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[in] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_min_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a Q7 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[in] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_absmin_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a Q7 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - */ - void arm_absmin_no_idx_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult); - - - /** - * @brief Minimum value of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[in] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_min_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex); - -/** - * @brief Minimum value of absolute values of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[in] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_absmin_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a Q15 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - */ - void arm_absmin_no_idx_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - - - /** - * @brief Minimum value of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_min_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_absmin_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a Q31 vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - */ - void arm_absmin_no_idx_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - - - /** - * @brief Minimum value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_min_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_absmin_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - */ - void arm_absmin_no_idx_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - - - /** - * @brief Minimum value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_min_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - * @param[out] pIndex is the array index of the minimum value in the input buffer. - */ - void arm_absmin_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult, - uint32_t * pIndex); - - /** - * @brief Minimum value of absolute values of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output pointer - */ - void arm_absmin_no_idx_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - -/** - * @brief Maximum value of a Q7 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_max_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a Q7 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_absmax_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a Q7 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - */ - void arm_absmax_no_idx_q7( - const q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult); - - -/** - * @brief Maximum value of a Q15 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_max_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a Q15 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_absmax_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex); - - /** - * @brief Maximum value of absolute values of a Q15 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - */ - void arm_absmax_no_idx_q15( - const q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult); - -/** - * @brief Maximum value of a Q31 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_max_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a Q31 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_absmax_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex); - - /** - * @brief Maximum value of absolute values of a Q31 vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - */ - void arm_absmax_no_idx_q31( - const q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult); - -/** - * @brief Maximum value of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_max_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_absmax_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex); - - /** - * @brief Maximum value of absolute values of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - */ - void arm_absmax_no_idx_f32( - const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - -/** - * @brief Maximum value of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_max_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - * @param[out] pIndex index of maximum value returned here - */ - void arm_absmax_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult, - uint32_t * pIndex); - -/** - * @brief Maximum value of absolute values of a floating-point vector. - * @param[in] pSrc points to the input buffer - * @param[in] blockSize length of the input vector - * @param[out] pResult maximum value returned here - */ - void arm_absmax_no_idx_f64( - const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - /** - @brief Maximum value of a floating-point vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult maximum value returned here - */ - void arm_max_no_idx_f32( - const float32_t *pSrc, - uint32_t blockSize, - float32_t *pResult); - - /** - @brief Minimum value of a floating-point vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult minimum value returned here - */ - void arm_min_no_idx_f32( - const float32_t *pSrc, - uint32_t blockSize, - float32_t *pResult); - - /** - @brief Maximum value of a floating-point vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult maximum value returned here - */ - void arm_max_no_idx_f64( - const float64_t *pSrc, - uint32_t blockSize, - float64_t *pResult); - - /** - @brief Maximum value of a q31 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult maximum value returned here - */ - void arm_max_no_idx_q31( - const q31_t *pSrc, - uint32_t blockSize, - q31_t *pResult); - - /** - @brief Maximum value of a q15 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult maximum value returned here - */ - void arm_max_no_idx_q15( - const q15_t *pSrc, - uint32_t blockSize, - q15_t *pResult); - - /** - @brief Maximum value of a q7 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult maximum value returned here - */ - void arm_max_no_idx_q7( - const q7_t *pSrc, - uint32_t blockSize, - q7_t *pResult); - - /** - @brief Minimum value of a floating-point vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult minimum value returned here - */ - void arm_min_no_idx_f64( - const float64_t *pSrc, - uint32_t blockSize, - float64_t *pResult); - -/** - @brief Minimum value of a q31 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult minimum value returned here - */ - void arm_min_no_idx_q31( - const q31_t *pSrc, - uint32_t blockSize, - q31_t *pResult); - - /** - @brief Minimum value of a q15 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult minimum value returned here - */ - void arm_min_no_idx_q15( - const q15_t *pSrc, - uint32_t blockSize, - q15_t *pResult); - - /** - @brief Minimum value of a q7 vector. - @param[in] pSrc points to the input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult minimum value returned here - */ -void arm_min_no_idx_q7( - const q7_t *pSrc, - uint32_t blockSize, - q7_t *pResult); - -/** - @brief Mean square error between two Q7 vectors. - @param[in] pSrcA points to the first input vector - @param[in] pSrcB points to the second input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult mean square error -*/ - -void arm_mse_q7( - const q7_t * pSrcA, - const q7_t * pSrcB, - uint32_t blockSize, - q7_t * pResult); - -/** - @brief Mean square error between two Q15 vectors. - @param[in] pSrcA points to the first input vector - @param[in] pSrcB points to the second input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult mean square error -*/ - -void arm_mse_q15( - const q15_t * pSrcA, - const q15_t * pSrcB, - uint32_t blockSize, - q15_t * pResult); - -/** - @brief Mean square error between two Q31 vectors. - @param[in] pSrcA points to the first input vector - @param[in] pSrcB points to the second input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult mean square error -*/ - -void arm_mse_q31( - const q31_t * pSrcA, - const q31_t * pSrcB, - uint32_t blockSize, - q31_t * pResult); - -/** - @brief Mean square error between two single precision float vectors. - @param[in] pSrcA points to the first input vector - @param[in] pSrcB points to the second input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult mean square error -*/ - -void arm_mse_f32( - const float32_t * pSrcA, - const float32_t * pSrcB, - uint32_t blockSize, - float32_t * pResult); - -/** - @brief Mean square error between two double precision float vectors. - @param[in] pSrcA points to the first input vector - @param[in] pSrcB points to the second input vector - @param[in] blockSize number of samples in input vector - @param[out] pResult mean square error -*/ - -void arm_mse_f64( - const float64_t * pSrcA, - const float64_t * pSrcB, - uint32_t blockSize, - float64_t * pResult); - - -/** - * @brief Accumulation value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - -void arm_accumulate_f32( -const float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult); - -/** - * @brief Accumulation value of a floating-point vector. - * @param[in] pSrc is input pointer - * @param[in] blockSize is the number of samples to process - * @param[out] pResult is output value. - */ - -void arm_accumulate_f64( -const float64_t * pSrc, - uint32_t blockSize, - float64_t * pResult); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _STATISTICS_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/support_functions.h b/third_party/cmsis-dsp/Include/dsp/support_functions.h deleted file mode 100755 index 1f3ce8c..0000000 --- a/third_party/cmsis-dsp/Include/dsp/support_functions.h +++ /dev/null @@ -1,539 +0,0 @@ -/****************************************************************************** - * @file support_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.1 - * @date 18 August 2022 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef SUPPORT_FUNCTIONS_H_ -#define SUPPORT_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupSupport Support Functions - */ - - -/** - * @brief Converts the elements of the 64 bit floating-point vector to floating-point vector. - * @param[in] pSrc points to the floating-point 64 input vector - * @param[out] pDst points to the floating-point output vector - * @param[in] blockSize length of the input vector - */ - void arm_f64_to_float( - const float64_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the 64 bit floating-point vector to Q31 vector. - * @param[in] pSrc points to the floating-point 64 input vector - * @param[out] pDst points to the Q31 output vector - * @param[in] blockSize length of the input vector - */ - void arm_f64_to_q31( - const float64_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the 64 bit floating-point vector to Q15 vector. - * @param[in] pSrc points to the floating-point 64 input vector - * @param[out] pDst points to the Q15 output vector - * @param[in] blockSize length of the input vector - */ - void arm_f64_to_q15( - const float64_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the 64 bit floating-point vector to Q7 vector. - * @param[in] pSrc points to the floating-point 64 input vector - * @param[out] pDst points to the Q7 output vector - * @param[in] blockSize length of the input vector - */ - void arm_f64_to_q7( - const float64_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - - - -/** - * @brief Converts the elements of the floating-point vector to 64 bit floating-point vector. - * @param[in] pSrc points to the floating-point input vector - * @param[out] pDst points to the 64 bit floating-point output vector - * @param[in] blockSize length of the input vector - */ - void arm_float_to_f64( - const float32_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the floating-point vector to Q31 vector. - * @param[in] pSrc points to the floating-point input vector - * @param[out] pDst points to the Q31 output vector - * @param[in] blockSize length of the input vector - */ - void arm_float_to_q31( - const float32_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the floating-point vector to Q15 vector. - * @param[in] pSrc points to the floating-point input vector - * @param[out] pDst points to the Q15 output vector - * @param[in] blockSize length of the input vector - */ - void arm_float_to_q15( - const float32_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the floating-point vector to Q7 vector. - * @param[in] pSrc points to the floating-point input vector - * @param[out] pDst points to the Q7 output vector - * @param[in] blockSize length of the input vector - */ - void arm_float_to_q7( - const float32_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the Q31 vector to 64 bit floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ -void arm_q31_to_f64( -const q31_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Converts the elements of the Q31 vector to floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q31_to_float( - const q31_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q31 vector to Q15 vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q31_to_q15( - const q31_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q31 vector to Q7 vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q31_to_q7( - const q31_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the Q15 vector to 64 bit floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ -void arm_q15_to_f64( -const q15_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Converts the elements of the Q15 vector to floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q15_to_float( - const q15_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q15 vector to Q31 vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q15_to_q31( - const q15_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q15 vector to Q7 vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q15_to_q7( - const q15_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - -/** - * @brief Converts the elements of the Q7 vector to 64 bit floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ -void arm_q7_to_f64( -const q7_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Converts the elements of the Q7 vector to floating-point vector. - * @param[in] pSrc is input pointer - * @param[out] pDst is output pointer - * @param[in] blockSize is the number of samples to process - */ - void arm_q7_to_float( - const q7_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q7 vector to Q31 vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_q7_to_q31( - const q7_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Converts the elements of the Q7 vector to Q15 vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_q7_to_q15( - const q7_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - - - - /** - * @brief Struct for specifying sorting algorithm - */ - typedef enum - { - ARM_SORT_BITONIC = 0, - /**< Bitonic sort */ - ARM_SORT_BUBBLE = 1, - /**< Bubble sort */ - ARM_SORT_HEAP = 2, - /**< Heap sort */ - ARM_SORT_INSERTION = 3, - /**< Insertion sort */ - ARM_SORT_QUICK = 4, - /**< Quick sort */ - ARM_SORT_SELECTION = 5 - /**< Selection sort */ - } arm_sort_alg; - - /** - * @brief Struct for specifying sorting algorithm - */ - typedef enum - { - ARM_SORT_DESCENDING = 0, - /**< Descending order (9 to 0) */ - ARM_SORT_ASCENDING = 1 - /**< Ascending order (0 to 9) */ - } arm_sort_dir; - - /** - * @brief Instance structure for the sorting algorithms. - */ - typedef struct - { - arm_sort_alg alg; /**< Sorting algorithm selected */ - arm_sort_dir dir; /**< Sorting order (direction) */ - } arm_sort_instance_f32; - - /** - * @param[in] S points to an instance of the sorting structure. - * @param[in] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - */ - void arm_sort_f32( - const arm_sort_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - /** - * @param[in,out] S points to an instance of the sorting structure. - * @param[in] alg Selected algorithm. - * @param[in] dir Sorting order. - */ - void arm_sort_init_f32( - arm_sort_instance_f32 * S, - arm_sort_alg alg, - arm_sort_dir dir); - - /** - * @brief Instance structure for the sorting algorithms. - */ - typedef struct - { - arm_sort_dir dir; /**< Sorting order (direction) */ - float32_t * buffer; /**< Working buffer */ - } arm_merge_sort_instance_f32; - - /** - * @param[in] S points to an instance of the sorting structure. - * @param[in,out] pSrc points to the block of input data. - * @param[out] pDst points to the block of output data - * @param[in] blockSize number of samples to process. - */ - void arm_merge_sort_f32( - const arm_merge_sort_instance_f32 * S, - float32_t *pSrc, - float32_t *pDst, - uint32_t blockSize); - - /** - * @param[in,out] S points to an instance of the sorting structure. - * @param[in] dir Sorting order. - * @param[in] buffer Working buffer. - */ - void arm_merge_sort_init_f32( - arm_merge_sort_instance_f32 * S, - arm_sort_dir dir, - float32_t * buffer); - - - - /** - * @brief Copies the elements of a floating-point vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_copy_f32( - const float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Copies the elements of a floating-point vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_copy_f64( - const float64_t * pSrc, - float64_t * pDst, - uint32_t blockSize); - - - - /** - * @brief Copies the elements of a Q7 vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_copy_q7( - const q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Copies the elements of a Q15 vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_copy_q15( - const q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Copies the elements of a Q31 vector. - * @param[in] pSrc input pointer - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_copy_q31( - const q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize); - - - /** - * @brief Fills a constant value into a floating-point vector. - * @param[in] value input value to be filled - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_fill_f32( - float32_t value, - float32_t * pDst, - uint32_t blockSize); - - - /** - * @brief Fills a constant value into a floating-point vector. - * @param[in] value input value to be filled - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_fill_f64( - float64_t value, - float64_t * pDst, - uint32_t blockSize); - - - /** - * @brief Fills a constant value into a Q7 vector. - * @param[in] value input value to be filled - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_fill_q7( - q7_t value, - q7_t * pDst, - uint32_t blockSize); - - - /** - * @brief Fills a constant value into a Q15 vector. - * @param[in] value input value to be filled - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_fill_q15( - q15_t value, - q15_t * pDst, - uint32_t blockSize); - - - /** - * @brief Fills a constant value into a Q31 vector. - * @param[in] value input value to be filled - * @param[out] pDst output pointer - * @param[in] blockSize number of samples to process - */ - void arm_fill_q31( - q31_t value, - q31_t * pDst, - uint32_t blockSize); - - - - - - - -/** - * @brief Weighted average - * - * - * @param[in] *in Array of input values. - * @param[in] *weights Weights - * @param[in] blockSize Number of samples in the input array. - * @return Weighted average - * - */ -float32_t arm_weighted_average_f32(const float32_t *in - , const float32_t *weights - , uint32_t blockSize); - - -/** - * @brief Barycenter - * - * - * @param[in] in List of vectors - * @param[in] weights Weights of the vectors - * @param[out] out Barycenter - * @param[in] nbVectors Number of vectors - * @param[in] vecDim Dimension of space (vector dimension) - * - */ -void arm_barycenter_f32(const float32_t *in - , const float32_t *weights - , float32_t *out - , uint32_t nbVectors - , uint32_t vecDim); - - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _SUPPORT_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/svm_defines.h b/third_party/cmsis-dsp/Include/dsp/svm_defines.h deleted file mode 100755 index 185a8a9..0000000 --- a/third_party/cmsis-dsp/Include/dsp/svm_defines.h +++ /dev/null @@ -1,46 +0,0 @@ -/****************************************************************************** - * @file svm_defines.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef SVM_DEFINES_H_ -#define SVM_DEFINES_H_ - -/** - * @brief Struct for specifying SVM Kernel - */ -typedef enum -{ - ARM_ML_KERNEL_LINEAR = 0, - /**< Linear kernel */ - ARM_ML_KERNEL_POLYNOMIAL = 1, - /**< Polynomial kernel */ - ARM_ML_KERNEL_RBF = 2, - /**< Radial Basis Function kernel */ - ARM_ML_KERNEL_SIGMOID = 3 - /**< Sigmoid kernel */ -} arm_ml_kernel_type; - -#endif diff --git a/third_party/cmsis-dsp/Include/dsp/svm_functions.h b/third_party/cmsis-dsp/Include/dsp/svm_functions.h deleted file mode 100755 index cb00cd4..0000000 --- a/third_party/cmsis-dsp/Include/dsp/svm_functions.h +++ /dev/null @@ -1,280 +0,0 @@ -/****************************************************************************** - * @file svm_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef SVM_FUNCTIONS_H_ -#define SVM_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" -#include "dsp/svm_defines.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - -#define STEP(x) (x) <= 0 ? 0 : 1 - -/** - * @defgroup groupSVM SVM Functions - * This set of functions is implementing SVM classification on 2 classes. - * The training must be done from scikit-learn. The parameters can be easily - * generated from the scikit-learn object. Some examples are given in - * DSP/Testing/PatternGeneration/SVM.py - * - * If more than 2 classes are needed, the functions in this folder - * will have to be used, as building blocks, to do multi-class classification. - * - * No multi-class classification is provided in this SVM folder. - * - */ - -/** - * @brief Integer exponentiation - * @param[in] x value - * @param[in] nb integer exponent >= 1 - * @return x^nb - */ -__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb) -{ - float32_t r = x; - nb --; - while(nb > 0) - { - r = r * x; - nb--; - } - return(r); -} - - -/** - * @brief Instance structure for linear SVM prediction function. - */ -typedef struct -{ - uint32_t nbOfSupportVectors; /**< Number of support vectors */ - uint32_t vectorDimension; /**< Dimension of vector space */ - float32_t intercept; /**< Intercept */ - const float32_t *dualCoefficients; /**< Dual coefficients */ - const float32_t *supportVectors; /**< Support vectors */ - const int32_t *classes; /**< The two SVM classes */ -} arm_svm_linear_instance_f32; - - -/** - * @brief Instance structure for polynomial SVM prediction function. - */ -typedef struct -{ - uint32_t nbOfSupportVectors; /**< Number of support vectors */ - uint32_t vectorDimension; /**< Dimension of vector space */ - float32_t intercept; /**< Intercept */ - const float32_t *dualCoefficients; /**< Dual coefficients */ - const float32_t *supportVectors; /**< Support vectors */ - const int32_t *classes; /**< The two SVM classes */ - int32_t degree; /**< Polynomial degree */ - float32_t coef0; /**< Polynomial constant */ - float32_t gamma; /**< Gamma factor */ -} arm_svm_polynomial_instance_f32; - - -/** - * @brief Instance structure for rbf SVM prediction function. - */ -typedef struct -{ - uint32_t nbOfSupportVectors; /**< Number of support vectors */ - uint32_t vectorDimension; /**< Dimension of vector space */ - float32_t intercept; /**< Intercept */ - const float32_t *dualCoefficients; /**< Dual coefficients */ - const float32_t *supportVectors; /**< Support vectors */ - const int32_t *classes; /**< The two SVM classes */ - float32_t gamma; /**< Gamma factor */ -} arm_svm_rbf_instance_f32; - - -/** - * @brief Instance structure for sigmoid SVM prediction function. - */ -typedef struct -{ - uint32_t nbOfSupportVectors; /**< Number of support vectors */ - uint32_t vectorDimension; /**< Dimension of vector space */ - float32_t intercept; /**< Intercept */ - const float32_t *dualCoefficients; /**< Dual coefficients */ - const float32_t *supportVectors; /**< Support vectors */ - const int32_t *classes; /**< The two SVM classes */ - float32_t coef0; /**< Independent constant */ - float32_t gamma; /**< Gamma factor */ -} arm_svm_sigmoid_instance_f32; - - -/** - * @brief SVM linear instance init function - * @param[in] S Parameters for SVM functions - * @param[in] nbOfSupportVectors Number of support vectors - * @param[in] vectorDimension Dimension of vector space - * @param[in] intercept Intercept - * @param[in] dualCoefficients Array of dual coefficients - * @param[in] supportVectors Array of support vectors - * @param[in] classes Array of 2 classes ID - */ -void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, - uint32_t nbOfSupportVectors, - uint32_t vectorDimension, - float32_t intercept, - const float32_t *dualCoefficients, - const float32_t *supportVectors, - const int32_t *classes); - - -/** - * @brief SVM linear prediction - * @param[in] S Pointer to an instance of the linear SVM structure. - * @param[in] in Pointer to input vector - * @param[out] pResult Decision value - */ -void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S, - const float32_t * in, - int32_t * pResult); - - -/** - * @brief SVM polynomial instance init function - * @param[in] S points to an instance of the polynomial SVM structure. - * @param[in] nbOfSupportVectors Number of support vectors - * @param[in] vectorDimension Dimension of vector space - * @param[in] intercept Intercept - * @param[in] dualCoefficients Array of dual coefficients - * @param[in] supportVectors Array of support vectors - * @param[in] classes Array of 2 classes ID - * @param[in] degree Polynomial degree - * @param[in] coef0 coeff0 (scikit-learn terminology) - * @param[in] gamma gamma (scikit-learn terminology) - */ -void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, - uint32_t nbOfSupportVectors, - uint32_t vectorDimension, - float32_t intercept, - const float32_t *dualCoefficients, - const float32_t *supportVectors, - const int32_t *classes, - int32_t degree, - float32_t coef0, - float32_t gamma - ); - - -/** - * @brief SVM polynomial prediction - * @param[in] S Pointer to an instance of the polynomial SVM structure. - * @param[in] in Pointer to input vector - * @param[out] pResult Decision value - */ -void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S, - const float32_t * in, - int32_t * pResult); - - -/** - * @brief SVM radial basis function instance init function - * @param[in] S points to an instance of the polynomial SVM structure. - * @param[in] nbOfSupportVectors Number of support vectors - * @param[in] vectorDimension Dimension of vector space - * @param[in] intercept Intercept - * @param[in] dualCoefficients Array of dual coefficients - * @param[in] supportVectors Array of support vectors - * @param[in] classes Array of 2 classes ID - * @param[in] gamma gamma (scikit-learn terminology) - */ -void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, - uint32_t nbOfSupportVectors, - uint32_t vectorDimension, - float32_t intercept, - const float32_t *dualCoefficients, - const float32_t *supportVectors, - const int32_t *classes, - float32_t gamma - ); - - -/** - * @brief SVM rbf prediction - * @param[in] S Pointer to an instance of the rbf SVM structure. - * @param[in] in Pointer to input vector - * @param[out] pResult decision value - */ -void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S, - const float32_t * in, - int32_t * pResult); - - -/** - * @brief SVM sigmoid instance init function - * @param[in] S points to an instance of the rbf SVM structure. - * @param[in] nbOfSupportVectors Number of support vectors - * @param[in] vectorDimension Dimension of vector space - * @param[in] intercept Intercept - * @param[in] dualCoefficients Array of dual coefficients - * @param[in] supportVectors Array of support vectors - * @param[in] classes Array of 2 classes ID - * @param[in] coef0 coeff0 (scikit-learn terminology) - * @param[in] gamma gamma (scikit-learn terminology) - */ -void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, - uint32_t nbOfSupportVectors, - uint32_t vectorDimension, - float32_t intercept, - const float32_t *dualCoefficients, - const float32_t *supportVectors, - const int32_t *classes, - float32_t coef0, - float32_t gamma - ); - - -/** - * @brief SVM sigmoid prediction - * @param[in] S Pointer to an instance of the rbf SVM structure. - * @param[in] in Pointer to input vector - * @param[out] pResult Decision value - */ -void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S, - const float32_t * in, - int32_t * pResult); - - - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _SVM_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/transform_functions.h b/third_party/cmsis-dsp/Include/dsp/transform_functions.h deleted file mode 100755 index 27094e5..0000000 --- a/third_party/cmsis-dsp/Include/dsp/transform_functions.h +++ /dev/null @@ -1,1408 +0,0 @@ -/****************************************************************************** - * @file transform_functions.h - * @brief Public header file for CMSIS DSP Library - * @version V1.10.0 - * @date 08 July 2021 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef TRANSFORM_FUNCTIONS_H_ -#define TRANSFORM_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - -#include "dsp/basic_math_functions.h" -#include "dsp/complex_math_functions.h" - -// Only available for Neon versions of the FFTs -// otherwise only powers of 2 are supported - -#if !defined(ARM_MIXED_RADIX_FFT) -#define ARM_MIXED_RADIX_FFT 1 -#endif - -#if !defined(ARM_MATH_NEON) -#if defined(ARM_MFCC_CFFT_BASED) -#if !defined(ARM_MFCC_USE_CFFT) -#define ARM_MFCC_USE_CFFT -#endif -#endif -#endif - -#ifdef __cplusplus -extern "C" -{ -#endif - - -/** - * @defgroup groupTransforms Transform Functions - * - * CMSIS-DSP provides CFFT and RFFT for different architectures. - * The implementation of those transforms may be different for the - * different architectures : different algorithms, different capabilities - * of the instruction set. - * - * All those variants are not giving exactly the same results but they - * are passing the same tests with same SNR checks and same threshold for - * the sample errors. - * - * The APIs for the Neon variants are different : some additional - * temporary buffers are required. - * - * Float16 versions are provided but they are not very accurate and - * should only be used for small FFTs. - * - * @par Transform initializations - * - * There are several ways to initialize the transform functions. - * Below explanations are using q15 as example but the same explanations - * apply to other datatypes. - * - * Before Helium and Neon, you can just use a pre-initialized - * constant data structure and use it in the arm_cfft_... function. - * For instance, &arm_cfft_sR_q15_len256 for a 256 Q15 CFFT. - * - * On Helium and Neon, you *must* use an initialization function. If you know the size of your FFT (or other transform) you can use a specific initialization function for this size only : like arm_cfft_init_256_q15 for a 256 Q15 complex FFT. - * - * By using a specific initialization function, you give an hint to the linker and it will be able to remove all unused initialization tables (some compilation and link flags must be used for the linker to be able to do this optimization. It is compiler dependent). - * - * If you don't know the size you'll need at runtime, you need to use a function like arm_cfft_init_q15. If you use such a function, all the tables for all FFT sizes (up to the CMSIS-DSP maximum of 4096) will be included in the build ! - * - * On Neon, there is another possibility. You can use arm_cfft_init_dynamic_q15. This function will allocate a buffer at runtime and compute at runtime all the tables that are required for a specific FFT size. This initialization is also supported by RFFT. - * The computation to initialize all the tables can take lot of cycles - * (since several cos and sin must be computed) - * - * With this new Neon specific initialization you can use longer lengths. - * With CFFT, you can also use lengths containing radix 3 and/or 5 (but - * the length must still be a multiple of 4). - * - * @par Size of buffers according to the target architecture and datatype: - * They are described on the page \ref transformbuffers "transform buffers". - */ - - - /** - * @brief Instance structure for the Q15 CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - } arm_cfft_radix2_instance_q15; - -/* Deprecated */ - arm_status arm_cfft_radix2_init_q15( - arm_cfft_radix2_instance_q15 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - -/* Deprecated */ - void arm_cfft_radix2_q15( - const arm_cfft_radix2_instance_q15 * S, - q15_t * pSrc); - - - /** - * @brief Instance structure for the Q15 CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const q15_t *pTwiddle; /**< points to the twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - } arm_cfft_radix4_instance_q15; - -/* Deprecated */ - arm_status arm_cfft_radix4_init_q15( - arm_cfft_radix4_instance_q15 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - -/* Deprecated */ - void arm_cfft_radix4_q15( - const arm_cfft_radix4_instance_q15 * S, - q15_t * pSrc); - - /** - * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - } arm_cfft_radix2_instance_q31; - -/* Deprecated */ - arm_status arm_cfft_radix2_init_q31( - arm_cfft_radix2_instance_q31 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - -/* Deprecated */ - void arm_cfft_radix2_q31( - const arm_cfft_radix2_instance_q31 * S, - q31_t * pSrc); - - /** - * @brief Instance structure for the Q31 CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const q31_t *pTwiddle; /**< points to the twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - } arm_cfft_radix4_instance_q31; - -/* Deprecated */ - void arm_cfft_radix4_q31( - const arm_cfft_radix4_instance_q31 * S, - q31_t * pSrc); - -/* Deprecated */ - arm_status arm_cfft_radix4_init_q31( - arm_cfft_radix4_instance_q31 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - - /** - * @brief Instance structure for the floating-point CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - float32_t onebyfftLen; /**< value of 1/fftLen. */ - } arm_cfft_radix2_instance_f32; - - -/* Deprecated */ - arm_status arm_cfft_radix2_init_f32( - arm_cfft_radix2_instance_f32 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - -/* Deprecated */ - void arm_cfft_radix2_f32( - const arm_cfft_radix2_instance_f32 * S, - float32_t * pSrc); - - /** - * @brief Instance structure for the floating-point CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ - uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ - const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ - float32_t onebyfftLen; /**< value of 1/fftLen. */ - } arm_cfft_radix4_instance_f32; - - - -/* Deprecated */ - arm_status arm_cfft_radix4_init_f32( - arm_cfft_radix4_instance_f32 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - -/* Deprecated */ - void arm_cfft_radix4_f32( - const arm_cfft_radix4_instance_f32 * S, - float32_t * pSrc); - - /** - * @brief Instance structure for the fixed-point CFFT/CIFFT function. - */ -#if defined(ARM_MATH_NEON) -typedef struct -{ - uint32_t fftLen; /**< length of the FFT. */ - const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ - const q15_t *last_twiddles; /**< last stage twiddle used for mixed radix */ - const uint32_t *factors; - int32_t algorithm_flag; -} arm_cfft_instance_q15; -#else - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t bitRevLength; /**< bit reversal table length. */ -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ - const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ - const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ - const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ - const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ - const q15_t *rearranged_twiddle_stride3; -#endif - } arm_cfft_instance_q15; -#endif - -arm_status arm_cfft_init_4096_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_2048_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_1024_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_512_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_256_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_128_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_64_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_32_q15(arm_cfft_instance_q15 * S); -arm_status arm_cfft_init_16_q15(arm_cfft_instance_q15 * S); - -arm_status arm_cfft_init_q15( - arm_cfft_instance_q15 * S, - uint16_t fftLen); - - - -#if defined(ARM_MATH_NEON) - -extern arm_cfft_instance_q15 *arm_cfft_init_dynamic_q15(uint32_t fftLen); - -void arm_cfft_q15( - const arm_cfft_instance_q15 * S, - const q15_t * src, - q15_t * dst, - q15_t * buffer, - uint8_t ifftFlag - ); -#else -void arm_cfft_q15( - const arm_cfft_instance_q15 * S, - q15_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag); -#endif - - /** - * @brief Instance structure for the fixed-point CFFT/CIFFT function. - */ -#if defined(ARM_MATH_NEON) -typedef struct -{ - uint32_t fftLen; /**< length of the FFT. */ - const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ - const q31_t *last_twiddles; /**< last stage twiddle used for mixed radix */ - const uint32_t *factors; - int32_t algorithm_flag; -} arm_cfft_instance_q31; -#else - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t bitRevLength; /**< bit reversal table length. */ -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ - const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ - const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ - const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ - const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ - const q31_t *rearranged_twiddle_stride3; -#endif - } arm_cfft_instance_q31; -#endif - -arm_status arm_cfft_init_4096_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_2048_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_1024_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_512_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_256_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_128_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_64_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_32_q31(arm_cfft_instance_q31 * S); -arm_status arm_cfft_init_16_q31(arm_cfft_instance_q31 * S); - -arm_status arm_cfft_init_q31( - arm_cfft_instance_q31 * S, - uint16_t fftLen); - -#if defined(ARM_MATH_NEON) - -extern arm_cfft_instance_q31 *arm_cfft_init_dynamic_q31(uint32_t fftLen); - -void arm_cfft_q31( - const arm_cfft_instance_q31 * S, - const q31_t * src, - q31_t * dst, - q31_t * buffer, - uint8_t ifftFlag - ); -#else -void arm_cfft_q31( - const arm_cfft_instance_q31 * S, - q31_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag); -#endif - -#if defined(ARM_MATH_NEON) -typedef struct -{ - uint32_t fftLen; /**< length of the FFT. */ - const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ - const float32_t *last_twiddles; /**< last stage twiddle used for mixed radix */ - const uint32_t *factors; - int32_t algorithm_flag; -} arm_cfft_instance_f32; -#else - /** - * @brief Instance structure for the floating-point CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t bitRevLength; /**< bit reversal table length. */ -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ - const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ - const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ - const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ - const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ - const float32_t *rearranged_twiddle_stride3; -#endif - } arm_cfft_instance_f32; -#endif - - -arm_status arm_cfft_init_4096_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_2048_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_1024_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_512_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_256_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_128_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_64_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_32_f32(arm_cfft_instance_f32 * S); -arm_status arm_cfft_init_16_f32(arm_cfft_instance_f32 * S); - - arm_status arm_cfft_init_f32( - arm_cfft_instance_f32 * S, - uint16_t fftLen); - -#if defined(ARM_MATH_NEON) - -extern arm_cfft_instance_f32 *arm_cfft_init_dynamic_f32(uint32_t fftLen); - -/* `pIn` content is modified by the function. - `pIn` array must be different from `pOut` one -*/ -void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - const float32_t * pIn, - float32_t * pOut, - float32_t * pBuffer, /* When used, `in` is not modified */ - uint8_t ifftFlag); -#else - void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - float32_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag); -#endif - - - /** - * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function. - */ - typedef struct - { - uint16_t fftLen; /**< length of the FFT. */ - const float64_t *pTwiddle; /**< points to the Twiddle factor table. */ - const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ - uint16_t bitRevLength; /**< bit reversal table length. */ - } arm_cfft_instance_f64; - -arm_status arm_cfft_init_4096_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_2048_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_1024_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_512_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_256_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_128_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_64_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_32_f64(arm_cfft_instance_f64 * S); -arm_status arm_cfft_init_16_f64(arm_cfft_instance_f64 * S); - - arm_status arm_cfft_init_f64( - arm_cfft_instance_f64 * S, - uint16_t fftLen); - - void arm_cfft_f64( - const arm_cfft_instance_f64 * S, - float64_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag); - - /** - * @brief Instance structure for the Q15 RFFT/RIFFT function. - */ -#if defined(ARM_MATH_NEON) - typedef struct - { - uint32_t nfft; - uint32_t ncfft; - const uint32_t *factors; - const q15_t *twiddles; - const q15_t *super_twiddles; - } arm_rfft_instance_q15; -#else - typedef struct - { - uint32_t fftLenReal; /**< length of the real FFT. */ - uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ - uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ - uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ - const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - arm_cfft_instance_q15 cfftInst; -#else - const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */ -#endif - } arm_rfft_instance_q15; -#endif - -#if defined(ARM_MATH_NEON) - -extern arm_rfft_instance_q15 *arm_rfft_init_dynamic_q15(uint32_t fftLenReal); - -arm_status arm_rfft_init_32_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_64_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_128_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_256_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_512_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_1024_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_2048_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_4096_q15( - arm_rfft_instance_q15 * S); - -arm_status arm_rfft_init_8192_q15( - arm_rfft_instance_q15 * S); - - arm_status arm_rfft_init_q15( - arm_rfft_instance_q15 * S, - uint32_t fftLenReal); - -void arm_rfft_q15( - const arm_rfft_instance_q15 * S, - const q15_t * pSrc, - q15_t * pDst, - q15_t * tmp, - uint8_t ifftFlag); -#else -arm_status arm_rfft_init_32_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_64_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_128_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_256_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_512_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_1024_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_2048_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_4096_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - -arm_status arm_rfft_init_8192_q15( - arm_rfft_instance_q15 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_q15( - arm_rfft_instance_q15 * S, - uint32_t fftLenReal, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - void arm_rfft_q15( - const arm_rfft_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst); -#endif - - /** - * @brief Instance structure for the Q31 RFFT/RIFFT function. - */ -#if defined(ARM_MATH_NEON) - typedef struct - { - uint32_t nfft; - uint32_t ncfft; - const uint32_t *factors; - const q31_t *twiddles; - const q31_t *super_twiddles; - } arm_rfft_instance_q31; -#else - typedef struct - { - uint32_t fftLenReal; /**< length of the real FFT. */ - uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ - uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ - uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ - const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - arm_cfft_instance_q31 cfftInst; -#else - const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */ -#endif - } arm_rfft_instance_q31; -#endif - - -#if defined(ARM_MATH_NEON) - -extern arm_rfft_instance_q31 *arm_rfft_init_dynamic_q31(uint32_t fftLenReal); - - arm_status arm_rfft_init_32_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_64_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_128_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_256_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_512_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_1024_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_2048_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_4096_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_8192_q31( - arm_rfft_instance_q31 * S); - - arm_status arm_rfft_init_q31( - arm_rfft_instance_q31 * S, - uint32_t fftLenReal); - - void arm_rfft_q31( - const arm_rfft_instance_q31 * S, - const q31_t * pSrc, - q31_t * pDst, - q31_t * tmp, - uint8_t ifftFlag); -#else - arm_status arm_rfft_init_32_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_64_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_128_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_256_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_512_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_1024_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_2048_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_4096_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_8192_q31( - arm_rfft_instance_q31 * S, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - arm_status arm_rfft_init_q31( - arm_rfft_instance_q31 * S, - uint32_t fftLenReal, - uint32_t ifftFlagR, - uint32_t bitReverseFlag); - - void arm_rfft_q31( - const arm_rfft_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst); -#endif - - /** - * @brief Instance structure for the floating-point RFFT/RIFFT function. - */ - typedef struct - { - uint32_t fftLenReal; /**< length of the real FFT. */ - uint16_t fftLenBy2; /**< length of the complex FFT. */ - uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ - uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ - uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ - const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ - const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ - arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ - } arm_rfft_instance_f32; - - /** - * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function. - */ -typedef struct - { - arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */ - uint16_t fftLenRFFT; /**< length of the real sequence */ - const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */ - } arm_rfft_fast_instance_f64 ; - -arm_status arm_rfft_fast_init_32_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_64_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_128_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_256_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_512_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_1024_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_2048_f64( arm_rfft_fast_instance_f64 * S ); -arm_status arm_rfft_fast_init_4096_f64( arm_rfft_fast_instance_f64 * S ); - -arm_status arm_rfft_fast_init_f64 ( - arm_rfft_fast_instance_f64 * S, - uint16_t fftLen); - - -void arm_rfft_fast_f64( - arm_rfft_fast_instance_f64 * S, - float64_t * p, float64_t * pOut, - uint8_t ifftFlag); - - - /** - * @brief Instance structure for the floating-point RFFT/RIFFT function. - */ -#if defined(ARM_MATH_NEON) - typedef struct - { - uint32_t nfft; - const float32_t *r_twiddles; - const uint32_t *r_factors; - const float32_t *r_twiddles_backward; - const float32_t *r_twiddles_neon; - const float32_t *r_twiddles_neon_backward; - const uint32_t *r_factors_neon; - const float32_t *r_super_twiddles_neon; - } arm_rfft_fast_instance_f32 ; -#else -typedef struct - { - arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */ - uint16_t fftLenRFFT; /**< length of the real sequence */ - const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */ - } arm_rfft_fast_instance_f32 ; -#endif - -arm_status arm_rfft_fast_init_32_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_64_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_128_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_256_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_512_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_1024_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_2048_f32( arm_rfft_fast_instance_f32 * S ); -arm_status arm_rfft_fast_init_4096_f32( arm_rfft_fast_instance_f32 * S ); - - -arm_status arm_rfft_fast_init_f32 ( - arm_rfft_fast_instance_f32 * S, - uint16_t fftLen); - -#if defined(ARM_MATH_NEON) - -extern arm_rfft_fast_instance_f32 *arm_rfft_fast_init_dynamic_f32 (uint32_t fftLen); - -void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut, - float32_t *tmpbuf, - uint8_t ifftFlag); -#else - void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - float32_t * p, float32_t * pOut, - uint8_t ifftFlag); -#endif - - - /** - * @brief Instance structure for the Floating-point MFCC function. - */ -typedef struct - { - const float32_t *dctCoefs; /**< Internal DCT coefficients */ - const float32_t *filterCoefs; /**< Internal Mel filter coefficients */ - const float32_t *windowCoefs; /**< Windowing coefficients */ - const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ - const uint32_t *filterLengths; /**< Internal Mel filter lengths */ - uint32_t fftLen; /**< FFT length */ - uint32_t nbMelFilters; /**< Number of Mel filters */ - uint32_t nbDctOutputs; /**< Number of DCT outputs */ -#if defined(ARM_MFCC_USE_CFFT) - /* Implementation of the MFCC is using a CFFT */ - arm_cfft_instance_f32 cfft; /**< Internal CFFT instance */ -#else - /* Implementation of the MFCC is using a RFFT (default) */ - arm_rfft_fast_instance_f32 rfft; -#endif - } arm_mfcc_instance_f32 ; - -arm_status arm_mfcc_init_32_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_64_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_128_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_256_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_512_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_1024_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_2048_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_4096_f32( - arm_mfcc_instance_f32 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - -arm_status arm_mfcc_init_f32( - arm_mfcc_instance_f32 * S, - uint32_t fftLen, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const float32_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const float32_t *filterCoefs, - const float32_t *windowCoefs - ); - - -/** - @brief MFCC F32 - @param[in] S points to the mfcc instance structure - @param[in] pSrc points to the input samples - @param[out] pDst points to the output MFCC values - @param[inout] pTmp points to a temporary buffer of complex - */ -#if defined(ARM_MATH_NEON) -void arm_mfcc_f32( - const arm_mfcc_instance_f32 * S, - float32_t *pSrc, - float32_t *pDst, - float32_t *pTmp, - float32_t *pTmp2 - ); -#else - void arm_mfcc_f32( - const arm_mfcc_instance_f32 * S, - float32_t *pSrc, - float32_t *pDst, - float32_t *pTmp - ); -#endif - - /** - * @brief Instance structure for the Q31 MFCC function. - */ -typedef struct - { - const q31_t *dctCoefs; /**< Internal DCT coefficients */ - const q31_t *filterCoefs; /**< Internal Mel filter coefficients */ - const q31_t *windowCoefs; /**< Windowing coefficients */ - const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ - const uint32_t *filterLengths; /**< Internal Mel filter lengths */ - uint32_t fftLen; /**< FFT length */ - uint32_t nbMelFilters; /**< Number of Mel filters */ - uint32_t nbDctOutputs; /**< Number of DCT outputs */ -#if defined(ARM_MFCC_USE_CFFT) - /* Implementation of the MFCC is using a CFFT */ - arm_cfft_instance_q31 cfft; /**< Internal CFFT instance */ -#else - /* Implementation of the MFCC is using a RFFT (default) */ - arm_rfft_instance_q31 rfft; -#endif - } arm_mfcc_instance_q31 ; - -arm_status arm_mfcc_init_32_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_64_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_128_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_256_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_512_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_1024_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_2048_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_4096_q31( - arm_mfcc_instance_q31 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - -arm_status arm_mfcc_init_q31( - arm_mfcc_instance_q31 * S, - uint32_t fftLen, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q31_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q31_t *filterCoefs, - const q31_t *windowCoefs - ); - - -/** - @brief MFCC Q31 - @param[in] S points to the mfcc instance structure - @param[in] pSrc points to the input samples - @param[out] pDst points to the output MFCC values - @param[inout] pTmp points to a temporary buffer of complex - @return error status - */ -#if defined(ARM_MATH_NEON) - arm_status arm_mfcc_q31( - const arm_mfcc_instance_q31 * S, - q31_t *pSrc, - q31_t *pDst, - q31_t *pTmp, - q31_t *pTmp2 - ); -#else - arm_status arm_mfcc_q31( - const arm_mfcc_instance_q31 * S, - q31_t *pSrc, - q31_t *pDst, - q31_t *pTmp - ); -#endif - - /** - * @brief Instance structure for the Q15 MFCC function. - */ -typedef struct - { - const q15_t *dctCoefs; /**< Internal DCT coefficients */ - const q15_t *filterCoefs; /**< Internal Mel filter coefficients */ - const q15_t *windowCoefs; /**< Windowing coefficients */ - const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ - const uint32_t *filterLengths; /**< Internal Mel filter lengths */ - uint32_t fftLen; /**< FFT length */ - uint32_t nbMelFilters; /**< Number of Mel filters */ - uint32_t nbDctOutputs; /**< Number of DCT outputs */ -#if defined(ARM_MFCC_USE_CFFT) - /* Implementation of the MFCC is using a CFFT */ - arm_cfft_instance_q15 cfft; /**< Internal CFFT instance */ -#else - /* Implementation of the MFCC is using a RFFT (default) */ - arm_rfft_instance_q15 rfft; -#endif - } arm_mfcc_instance_q15 ; - -arm_status arm_mfcc_init_32_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_64_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_128_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_256_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_512_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_1024_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_2048_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_4096_q15( - arm_mfcc_instance_q15 * S, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - -arm_status arm_mfcc_init_q15( - arm_mfcc_instance_q15 * S, - uint32_t fftLen, - uint32_t nbMelFilters, - uint32_t nbDctOutputs, - const q15_t *dctCoefs, - const uint32_t *filterPos, - const uint32_t *filterLengths, - const q15_t *filterCoefs, - const q15_t *windowCoefs - ); - - -/** - @brief MFCC Q15 - @param[in] S points to the mfcc instance structure - @param[in] pSrc points to the input samples - @param[out] pDst points to the output MFCC values in q8.7 format - @param[inout] pTmp points to a temporary buffer of complex - @return error status - */ -#if defined(ARM_MATH_NEON) - arm_status arm_mfcc_q15( - const arm_mfcc_instance_q15 * S, - q15_t *pSrc, - q15_t *pDst, - q31_t *pTmp, - q15_t *pTmp2 - ); -#else - arm_status arm_mfcc_q15( - const arm_mfcc_instance_q15 * S, - q15_t *pSrc, - q15_t *pDst, - q31_t *pTmp - ); -#endif - -/** - @brief Calculate required length for the temporary buffer - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @param[in] buf_id Identification for the temporary buffer - @return Length in datatype elements (real numbers) for the temporary buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_cfft_tmp_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples, - uint32_t buf_id); - -/** - @brief Calculate required length for the output buffer - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @return Length in datatype elements (real numbers) for the temporary buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_cfft_output_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples); - -/** - @brief Calculate required length for the output buffer - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @return Length in datatype elements (real numbers) for the temporary buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_cifft_output_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples); - -/** - @brief Calculate required length for the temporary buffer for both RFFT and RIFFT - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @param[in] buf_id Identification for the temporary buffer - @return Length in datatype elements (real numbers) for the temporary buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_rfft_tmp_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples, - uint32_t buf_id); - -/** - @brief Calculate required length for the output buffer - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @return Length in datatype elements (real numbers) for the output buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_rfft_output_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples); - - -/** - * @brief Calculate required length for the input buffer - * @param[in] arch Target architecture identification - * @param[in] dt Data type of the input data - * @param[in] nb_samples RFFT length in samples - * @param[in] buf_id Identification for the temporary buffer - * @return Length in datatype elements (real numbers) for the input buffer - * - * @note 0 means not applicable (temporary buffer not needed) - * @note -1 means error : configuration not supported - */ -extern int32_t arm_rifft_input_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples); - -/** - @brief Calculate required length for the temporary buffer - @param[in] arch Target architecture identification - @param[in] dt Data type of the input data - @param[in] nb_samples Number of samples in the input data - @param[in] buf_id Identification for the temporary buffer - @param[in] use_cfft 1 if implementastion uses CFFT, 0 if RFFT - @return Length in datatype elements (real numbers) for the temporary buffer - - @note 0 means not applicable (temporary buffer not needed) - @note -1 means error : configuration not supported -*/ -extern int32_t arm_mfcc_tmp_buffer_size(arm_math_target_arch arch, - arm_math_datatype dt, - uint32_t nb_samples, - uint32_t buf_id, - uint32_t use_cfft); - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/utils.h b/third_party/cmsis-dsp/Include/dsp/utils.h deleted file mode 100755 index 348e878..0000000 --- a/third_party/cmsis-dsp/Include/dsp/utils.h +++ /dev/null @@ -1,272 +0,0 @@ -/****************************************************************************** - * @file arm_math_utils.h - * @brief Public header file for CMSIS DSP Library - * @version V1.9.0 - * @date 20. July 2020 - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_MATH_UTILS_H_ - -#define ARM_MATH_UTILS_H_ - -#include "arm_math_types.h" - -#ifdef __cplusplus -#include -extern "C" -{ -#else -#include -#endif - - - /** - * @brief Macros required for reciprocal calculation in Normalized LMS - */ - -#define INDEX_MASK 0x0000003F - -#ifndef MIN - #define MIN(x,y) ((x) < (y) ? (x) : (y)) -#endif - -#ifndef MAX - #define MAX(x,y) ((x) > (y) ? (x) : (y)) -#endif - -#ifndef ARM_SQ -#define ARM_SQ(x) ((x) * (x)) -#endif - -#ifndef ARM_ROUND_UP - #define ARM_ROUND_UP(N, S) ((((N) + (S) - 1) / (S)) * (S)) -#endif - - - /** - * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type. - It should not be used with negative values. - */ - __STATIC_FORCEINLINE uint32_t arm_recip_q31( - q31_t in, - q31_t * dst, - const q31_t * pRecipTable) - { - q31_t out; - uint32_t tempVal; - uint32_t index, i; - uint32_t signBits; - - if (in > 0) - { - signBits = ((uint32_t) (__CLZ( (uint32_t)in) - 1)); - } - else - { - signBits = ((uint32_t) (__CLZ((uint32_t)(-in)) - 1)); - } - - /* Convert input sample to 1.31 format */ - in = (in << signBits); - - /* calculation of index for initial approximated Val */ - index = (uint32_t)(in >> 24); - index = (index & INDEX_MASK); - - /* 1.31 with exp 1 */ - out = pRecipTable[index]; - - /* calculation of reciprocal value */ - /* running approximation for two iterations */ - for (i = 0U; i < 2U; i++) - { - tempVal = (uint32_t) (((q63_t) in * out) >> 31); - tempVal = 0x7FFFFFFFu - tempVal; - /* 1.31 with exp 1 */ - /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */ - out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30); - } - - /* write output */ - *dst = out; - - /* return num of signbits of out = 1/in value */ - return (signBits + 1U); - } - - - /** - * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type. - It should not be used with negative values. - */ - __STATIC_FORCEINLINE uint32_t arm_recip_q15( - q15_t in, - q15_t * dst, - const q15_t * pRecipTable) - { - q15_t out = 0; - int32_t tempVal = 0; - uint32_t index = 0, i = 0; - uint32_t signBits = 0; - - if (in > 0) - { - signBits = ((uint32_t)(__CLZ( (uint32_t)in) - 17)); - } - else - { - signBits = ((uint32_t)(__CLZ((uint32_t)(-in)) - 17)); - } - - /* Convert input sample to 1.15 format */ - in = (q15_t)(in << signBits); - - /* calculation of index for initial approximated Val */ - index = (uint32_t)(in >> 8); - index = (index & INDEX_MASK); - - /* 1.15 with exp 1 */ - out = pRecipTable[index]; - - /* calculation of reciprocal value */ - /* running approximation for two iterations */ - for (i = 0U; i < 2U; i++) - { - tempVal = (((q31_t) in * out) >> 15); - tempVal = 0x7FFF - tempVal; - /* 1.15 with exp 1 */ - out = (q15_t) (((q31_t) out * tempVal) >> 14); - /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */ - } - - /* write output */ - *dst = out; - - /* return num of signbits of out = 1/in value */ - return (signBits + 1); - } - - -/** - * @brief 64-bit to 32-bit unsigned normalization - * @param[in] in is input unsigned long long value - * @param[out] normalized is the 32-bit normalized value - * @param[out] norm is norm scale - */ -__STATIC_INLINE void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm) -{ - int32_t n1; - int32_t hi = (int32_t) (in >> 32); - int32_t lo = (int32_t) ((in << 32) >> 32); - - n1 = __CLZ((uint32_t)hi) - 32; - if (!n1) - { - /* - * input fits in 32-bit - */ - n1 = __CLZ((uint32_t)lo); - if (!n1) - { - /* - * MSB set, need to scale down by 1 - */ - *norm = -1; - *normalized = (((uint32_t) lo) >> 1); - } else - { - if (n1 == 32) - { - /* - * input is zero - */ - *norm = 0; - *normalized = 0; - } else - { - /* - * 32-bit normalization - */ - *norm = n1 - 1; - *normalized = lo << *norm; - } - } - } else - { - /* - * input fits in 64-bit - */ - n1 = 1 - n1; - *norm = -n1; - /* - * 64 bit normalization - */ - *normalized = (int32_t)(((uint32_t)lo) >> n1) | (hi << (32 - n1)); - } -} - -/** - * arm_div_int64_to_int32 function performs division of a 64-bit integer by a 32-bit integer - * and returns a 32-bit integer result. The function saturates the result to fit within the 32-bit integer range. - * @param num The 64-bit integer numerator. - * @param den The 32-bit integer denominator. - * @return The saturated 32-bit integer result of the division. - */ -__STATIC_INLINE int32_t arm_div_int64_to_int32(int64_t num, int32_t den) -{ - int32_t result; - uint64_t absNum; - int32_t normalized; - int32_t norm; - - /* - * if sum fits in 32bits - * avoid costly 64-bit division - */ - if (num == LLONG_MIN) - { - absNum = LLONG_MAX; - } - else - { - absNum = (uint64_t) (num > 0 ? num : -num); - } - arm_norm_64_to_32u(absNum, &normalized, &norm); - if (norm > 0) - /* - * 32-bit division - */ - result = (int32_t) num / den; - else - /* - * 64-bit division - */ - result = clip_q63_to_q31(num / den); - - return result; -} - -#undef INDEX_MASK - -#ifdef __cplusplus -} -#endif - -#endif /*ifndef _ARM_MATH_UTILS_H_ */ diff --git a/third_party/cmsis-dsp/Include/dsp/window_functions.h b/third_party/cmsis-dsp/Include/dsp/window_functions.h deleted file mode 100644 index 27f05a7..0000000 --- a/third_party/cmsis-dsp/Include/dsp/window_functions.h +++ /dev/null @@ -1,812 +0,0 @@ -/****************************************************************************** - * @file window_functions.h - * @brief Public header file for CMSIS DSP Library - * @version v1.15.0 - * @date 15 December 2022 - * Target Processor: Cortex-M and Cortex-A cores - ******************************************************************************/ -/* - * Copyright (c) 2010-2022 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -#ifndef WINDOW_FUNCTIONS_H_ -#define WINDOW_FUNCTIONS_H_ - -#include "arm_math_types.h" -#include "arm_math_memory.h" - -#include "dsp/none.h" -#include "dsp/utils.h" - - -#ifdef __cplusplus -extern "C" -{ -#endif - -/** - * @defgroup groupWindow Window Functions - */ - - /** - * @brief Welch window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 21.3 dB | - * | Normalized equivalent noise bandwidth | 1.2 bins | - * | Flatness | -2.2248 dB | - * | Recommended overlap | 29.3 % | - * - */ - void arm_welch_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Welch window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 21.3 dB | - * | Normalized equivalent noise bandwidth | 1.2 bins | - * | Flatness | -2.2248 dB | - * | Recommended overlap | 29.3 % | - * - * - */ - void arm_welch_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Bartlett window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 26.5 dB | - * | Normalized equivalent noise bandwidth | 1.3333 bins | - * | Flatness | -1.8242 dB | - * | Recommended overlap | 50.0 % | - * - */ - void arm_bartlett_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Bartlett window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 26.5 dB | - * | Normalized equivalent noise bandwidth | 1.3333 bins | - * | Flatness | -1.8242 dB | - * | Recommended overlap | 50.0 % | - * - * - */ - void arm_bartlett_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hamming window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 42.7 dB | - * | Normalized equivalent noise bandwidth | 1.3628 bins | - * | Flatness | -1.7514 dB | - * | Recommended overlap | 50 % | - * - */ - void arm_hamming_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hamming window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 42.7 dB | - * | Normalized equivalent noise bandwidth | 1.3628 bins | - * | Flatness | -1.7514 dB | - * | Recommended overlap | 50 % | - * - * - */ - void arm_hamming_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hanning window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 31.5 dB | - * | Normalized equivalent noise bandwidth | 1.5 bins | - * | Flatness | -1.4236 dB | - * | Recommended overlap | 50 % | - * - */ - void arm_hanning_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hanning window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 31.5 dB | - * | Normalized equivalent noise bandwidth | 1.5 bins | - * | Flatness | -1.4236 dB | - * | Recommended overlap | 50 % | - * - * - */ - void arm_hanning_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall3 window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 46.7 dB | - * | Normalized equivalent noise bandwidth | 1.9444 bins | - * | Flatness | -0.863 dB | - * | Recommended overlap | 64.7 % | - * - */ - void arm_nuttall3_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall3 window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 46.7 dB | - * | Normalized equivalent noise bandwidth | 1.9444 bins | - * | Flatness | -0.863 dB | - * | Recommended overlap | 64.7 % | - * - * - */ - void arm_nuttall3_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall4 window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 60.9 dB | - * | Normalized equivalent noise bandwidth | 2.31 bins | - * | Flatness | -0.6184 dB | - * | Recommended overlap | 70.5 % | - * - */ - void arm_nuttall4_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall4 window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 60.9 dB | - * | Normalized equivalent noise bandwidth | 2.31 bins | - * | Flatness | -0.6184 dB | - * | Recommended overlap | 70.5 % | - * - * - */ - void arm_nuttall4_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall3a window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 64.2 dB | - * | Normalized equivalent noise bandwidth | 1.7721 bins | - * | Flatness | -1.0453 dB | - * | Recommended overlap | 61.2 % | - * - */ - void arm_nuttall3a_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall3a window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 64.2 dB | - * | Normalized equivalent noise bandwidth | 1.7721 bins | - * | Flatness | -1.0453 dB | - * | Recommended overlap | 61.2 % | - * - * - */ - void arm_nuttall3a_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall3b window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 71.5 dB | - * | Normalized equivalent noise bandwidth | 1.7037 bins | - * | Flatness | -1.1352 dB | - * | Recommended overlap | 59.8 % | - * - */ - void arm_nuttall3b_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall3b window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 71.5 dB | - * | Normalized equivalent noise bandwidth | 1.7037 bins | - * | Flatness | -1.1352 dB | - * | Recommended overlap | 59.8 % | - * - * - */ - void arm_nuttall3b_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall4a window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 82.6 dB | - * | Normalized equivalent noise bandwidth | 2.1253 bins | - * | Flatness | -0.7321 dB | - * | Recommended overlap | 68.0 % | - * - */ - void arm_nuttall4a_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall4a window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 82.6 dB | - * | Normalized equivalent noise bandwidth | 2.1253 bins | - * | Flatness | -0.7321 dB | - * | Recommended overlap | 68.0 % | - * - * - */ - void arm_nuttall4a_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief 92 db blackman harris window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 92.0 dB | - * | Normalized equivalent noise bandwidth | 2.0044 bins | - * | Flatness | -0.8256 dB | - * | Recommended overlap | 66.1 % | - * - */ - void arm_blackman_harris_92db_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief 92 db blackman harris window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 92.0 dB | - * | Normalized equivalent noise bandwidth | 2.0044 bins | - * | Flatness | -0.8256 dB | - * | Recommended overlap | 66.1 % | - * - * - */ - void arm_blackman_harris_92db_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall4b window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 93.3 dB | - * | Normalized equivalent noise bandwidth | 2.0212 bins | - * | Flatness | -0.8118 dB | - * | Recommended overlap | 66.3 % | - * - */ - void arm_nuttall4b_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall4b window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 93.3 dB | - * | Normalized equivalent noise bandwidth | 2.0212 bins | - * | Flatness | -0.8118 dB | - * | Recommended overlap | 66.3 % | - * - * - */ - void arm_nuttall4b_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Nuttall4c window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 98.1 dB | - * | Normalized equivalent noise bandwidth | 1.9761 bins | - * | Flatness | -0.8506 dB | - * | Recommended overlap | 65.6 % | - * - */ - void arm_nuttall4c_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Nuttall4c window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 98.1 dB | - * | Normalized equivalent noise bandwidth | 1.9761 bins | - * | Flatness | -0.8506 dB | - * | Recommended overlap | 65.6 % | - * - * - */ - void arm_nuttall4c_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft90d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 90.2 dB | - * | Normalized equivalent noise bandwidth | 3.8832 bins | - * | Flatness | -0.0039 dB | - * | Recommended overlap | 76.0 % | - * - */ - void arm_hft90d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft90d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 90.2 dB | - * | Normalized equivalent noise bandwidth | 3.8832 bins | - * | Flatness | -0.0039 dB | - * | Recommended overlap | 76.0 % | - * - * - */ - void arm_hft90d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft95 window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 95.0 dB | - * | Normalized equivalent noise bandwidth | 3.8112 bins | - * | Flatness | 0.0044 dB | - * | Recommended overlap | 75.6 % | - * - */ - void arm_hft95_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft95 window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 95.0 dB | - * | Normalized equivalent noise bandwidth | 3.8112 bins | - * | Flatness | 0.0044 dB | - * | Recommended overlap | 75.6 % | - * - * - */ - void arm_hft95_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft116d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 116.8 dB | - * | Normalized equivalent noise bandwidth | 4.2186 bins | - * | Flatness | -0.0028 dB | - * | Recommended overlap | 78.2 % | - * - */ - void arm_hft116d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft116d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 116.8 dB | - * | Normalized equivalent noise bandwidth | 4.2186 bins | - * | Flatness | -0.0028 dB | - * | Recommended overlap | 78.2 % | - * - * - */ - void arm_hft116d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft144d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 144.1 dB | - * | Normalized equivalent noise bandwidth | 4.5386 bins | - * | Flatness | 0.0021 dB | - * | Recommended overlap | 79.9 % | - * - */ - void arm_hft144d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft144d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 144.1 dB | - * | Normalized equivalent noise bandwidth | 4.5386 bins | - * | Flatness | 0.0021 dB | - * | Recommended overlap | 79.9 % | - * - * - */ - void arm_hft144d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft169d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 169.5 dB | - * | Normalized equivalent noise bandwidth | 4.8347 bins | - * | Flatness | 0.0017 dB | - * | Recommended overlap | 81.2 % | - * - */ - void arm_hft169d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft169d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 169.5 dB | - * | Normalized equivalent noise bandwidth | 4.8347 bins | - * | Flatness | 0.0017 dB | - * | Recommended overlap | 81.2 % | - * - * - */ - void arm_hft169d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft196d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 196.2 dB | - * | Normalized equivalent noise bandwidth | 5.1134 bins | - * | Flatness | 0.0013 dB | - * | Recommended overlap | 82.3 % | - * - */ - void arm_hft196d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft196d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 196.2 dB | - * | Normalized equivalent noise bandwidth | 5.1134 bins | - * | Flatness | 0.0013 dB | - * | Recommended overlap | 82.3 % | - * - * - */ - void arm_hft196d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft223d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 223.0 dB | - * | Normalized equivalent noise bandwidth | 5.3888 bins | - * | Flatness | 0.0011 dB | - * | Recommended overlap | 83.3 % | - * - */ - void arm_hft223d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft223d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 223.0 dB | - * | Normalized equivalent noise bandwidth | 5.3888 bins | - * | Flatness | 0.0011 dB | - * | Recommended overlap | 83.3 % | - * - * - */ - void arm_hft223d_f32( - float32_t * pDst, - uint32_t blockSize); - /** - * @brief Hft248d window (double). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 248.4 dB | - * | Normalized equivalent noise bandwidth | 5.6512 bins | - * | Flatness | 0.0009 dB | - * | Recommended overlap | 84.1 % | - * - */ - void arm_hft248d_f64( - float64_t * pDst, - uint32_t blockSize); - - /** - * @brief Hft248d window (float). - * @param[out] pDst points to the output generated window - * @param[in] blockSize number of samples in the window - * - * @par Parameters of the window - * - * | Parameter | Value | - * | ------------------------------------: | -----------------: | - * | Peak sidelobe level | 248.4 dB | - * | Normalized equivalent noise bandwidth | 5.6512 bins | - * | Flatness | 0.0009 dB | - * | Recommended overlap | 84.1 % | - * - * - */ - void arm_hft248d_f32( - float32_t * pDst, - uint32_t blockSize); - - -#ifdef __cplusplus -} -#endif - -#endif /* ifndef _BASIC_MATH_FUNCTIONS_H_ */ diff --git a/third_party/cmsis-dsp/LICENSE b/third_party/cmsis-dsp/LICENSE deleted file mode 100644 index 8dada3e..0000000 --- a/third_party/cmsis-dsp/LICENSE +++ /dev/null @@ -1,201 +0,0 @@ - Apache License - Version 2.0, January 2004 - http://www.apache.org/licenses/ - - TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION - - 1. 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We also recommend that a - file or class name and description of purpose be included on the - same "printed page" as the copyright notice for easier - identification within third-party archives. - - Copyright {yyyy} {name of copyright owner} - - Licensed under the Apache License, Version 2.0 (the "License"); - you may not use this file except in compliance with the License. - You may obtain a copy of the License at - - http://www.apache.org/licenses/LICENSE-2.0 - - Unless required by applicable law or agreed to in writing, software - distributed under the License is distributed on an "AS IS" BASIS, - WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - See the License for the specific language governing permissions and - limitations under the License. diff --git a/third_party/cmsis-dsp/PrivateInclude/arm_compiler_specific.h b/third_party/cmsis-dsp/PrivateInclude/arm_compiler_specific.h deleted file mode 100644 index 8278026..0000000 --- a/third_party/cmsis-dsp/PrivateInclude/arm_compiler_specific.h +++ /dev/null @@ -1,20 +0,0 @@ -#ifndef ARM_COMPILER_SPECIFIC_H_ -#define ARM_COMPILER_SPECIFIC_H_ - -/* CMSIS-DSP definitions for some specific compilers. - Those definitions should not interfere with client code - and as consequence are in a private header. -*/ - -#if defined (_MSC_VER ) -#pragma warning(push) -#pragma warning(disable:4127) -#pragma warning(disable:4244) -#pragma warning(disable:4456) -#pragma warning(disable:4701) -#pragma warning(disable:4703) -#pragma warning(disable:4310) - -#endif - -#endif \ No newline at end of file diff --git a/third_party/cmsis-dsp/PrivateInclude/arm_vec_fft.h b/third_party/cmsis-dsp/PrivateInclude/arm_vec_fft.h deleted file mode 100755 index e316612..0000000 --- a/third_party/cmsis-dsp/PrivateInclude/arm_vec_fft.h +++ /dev/null @@ -1,325 +0,0 @@ -/****************************************************************************** - * @file arm_vec_fft.h - * @brief Private header file for CMSIS DSP Library - * @version V1.7.0 - * @date 07. January 2020 - ******************************************************************************/ -/* - * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef ARM_VEC_FFT_H_ -#define ARM_VEC_FFT_H_ - -#include "arm_math.h" -#include "arm_helium_utils.h" - -#ifdef __cplusplus -extern "C" -{ -#endif - -#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) - -#define MVE_CMPLX_ADD_A_ixB(A, B) vcaddq_rot90(A,B) -#define MVE_CMPLX_SUB_A_ixB(A,B) vcaddq_rot270(A,B) -#define MVE_CMPLX_MULT_FLT_AxB(A,B) vcmlaq_rot90(vcmulq(A, B), A, B) -#define MVE_CMPLX_MULT_FLT_Conj_AxB(A,B) vcmlaq_rot270(vcmulq(A, B), A, B) - -#define MVE_CMPLX_MULT_FX_AxB(A,B,TyA) vqdmladhxq(vqdmlsdhq((TyA)vuninitializedq_s32(), A, B), A, B) -#define MVE_CMPLX_MULT_FX_AxConjB(A,B,TyA) vqdmladhq(vqdmlsdhxq((TyA)vuninitializedq_s32(), A, B), A, B) - -#define MVE_CMPLX_ADD_FX_A_ixB(A, B) vhcaddq_rot90(A,B) -#define MVE_CMPLX_SUB_FX_A_ixB(A,B) vhcaddq_rot270(A,B) - - -/** - @brief In-place 32 bit reversal function for helium - @param[in,out] pSrc points to in-place buffer of unknown 32-bit data type - @param[in] bitRevLen bit reversal table length - @param[in] pBitRevTab points to bit reversal table - @return none -*/ - -__STATIC_INLINE void arm_bitreversal_32_inpl_mve( - uint32_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab) - -{ - uint64_t *src = (uint64_t *) pSrc; - int32_t blkCnt; /* loop counters */ - uint32x4_t bitRevTabOff; - uint32x4_t one = vdupq_n_u32(1); - uint64x2_t inLow, inHigh; - uint64x2_t bitRevOff1Low, bitRevOff0Low; - uint64x2_t bitRevOff1High, bitRevOff0High; - - /* load scheduling to increase gather load idx update / gather load distance */ - bitRevTabOff = vldrhq_u32(pBitRevTab); - pBitRevTab += 4; - - bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one); - bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one); - - - blkCnt = bitRevLen / 8; - while (blkCnt > 0) { - bitRevTabOff = vldrhq_u32(pBitRevTab); - pBitRevTab += 4; - - /* 64-bit index expansion */ - bitRevOff1Low = vmullbq_int_u32(bitRevTabOff, one); - bitRevOff1High = vmulltq_int_u32(bitRevTabOff, one); - - inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low); - inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High); - - vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh); - vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow); - - - /* unrolled */ - bitRevTabOff = vldrhq_u32(pBitRevTab); - pBitRevTab += 4; - - bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one); - bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one); - - inLow = vldrdq_gather_offset_u64(src, bitRevOff1Low); - inHigh = vldrdq_gather_offset_u64(src, bitRevOff1High); - - vstrdq_scatter_offset_u64(src, bitRevOff1Low, inHigh); - vstrdq_scatter_offset_u64(src, bitRevOff1High, inLow); - - /* - * Decrement the blockSize loop counter - */ - blkCnt--; - } - - if (bitRevLen & 7) { - /* FFT size = 16 */ - inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low); - inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High); - - vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh); - vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow); - } -} - - - -/** - @brief In-place 16 bit reversal function for helium - @param[in,out] pSrc points to in-place buffer of unknown 16-bit data type - @param[in] bitRevLen bit reversal table length - @param[in] pBitRevTab points to bit reversal table - @return none -*/ - -__STATIC_INLINE void arm_bitreversal_16_inpl_mve( - uint16_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab) - -{ - uint32_t *src = (uint32_t *) pSrc; - int32_t blkCnt; /* loop counters */ - uint16x8_t bitRevTabOff; - uint16x8_t one = vdupq_n_u16(1); - uint32x4_t bitRevOff1Low, bitRevOff0Low; - uint32x4_t bitRevOff1High, bitRevOff0High; - uint32x4_t inLow, inHigh; - - /* load scheduling to increase gather load idx update / gather load distance */ - bitRevTabOff = vldrhq_u16(pBitRevTab); - pBitRevTab += 8; - - bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0Low = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3); - bitRevOff0High = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0High, 3); - - blkCnt = (bitRevLen / 16); - while (blkCnt > 0) { - bitRevTabOff = vldrhq_u16(pBitRevTab); - pBitRevTab += 8; - - bitRevOff1Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff1High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff1Low = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff1Low, 3); - bitRevOff1High = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff1High, 3); - - inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low); - inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High); - - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh); - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow); - - /* loop unrolling */ - bitRevTabOff = vldrhq_u16(pBitRevTab); - pBitRevTab += 8; - - bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0Low = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3); - bitRevOff0High = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0High, 3); - - inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff1Low); - inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff1High); - - vstrwq_scatter_shifted_offset_u32(src, bitRevOff1Low, inHigh); - vstrwq_scatter_shifted_offset_u32(src, bitRevOff1High, inLow); - - blkCnt--; - } - - /* tail handling */ - blkCnt = bitRevLen & 0xf; - if (blkCnt == 8) { - inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low); - inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High); - - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh); - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow); - } else if (blkCnt == 12) { - /* FFT 16 special case */ - mve_pred16_t p = vctp16q(4); - - bitRevTabOff = vldrhq_z_u16(pBitRevTab, p); - - inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low); - inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High); - - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh); - vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow); - - bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one); - bitRevOff0Low = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3); - bitRevOff0High = (uint32x4_t)vshrq_n_u16((uint16x8_t)bitRevOff0High, 3); - - inLow = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0Low, p); - inHigh = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0High, p); - - vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0Low, inHigh, p); - vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0High, inLow, p); - } -} - -/** - @brief Out-of-place 32 bit reversal function for helium - @param[out] pDst points to destination buffer of unknown 32-bit data type - @param[in] pSrc points to input buffer of unknown 32-bit data type - @param[in] fftLen FFT length - @return none -*/ -__STATIC_INLINE void arm_bitreversal_32_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen) -{ - uint32x4_t idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1; - uint32_t bitRevPos, blkCnt; - uint32_t *pDst32 = (uint32_t *) pDst; - - /* fwd indexes */ - idxOffs0 = vdupq_n_u32(0); - idxOffs1 = vdupq_n_u32(0); - idxOffs0[0] = 0; idxOffs0[2] = 4; - idxOffs1[0] = 8; idxOffs1[2] = 12; - - bitRevPos = (31 - __CLZ(fftLen)) + 5; - blkCnt = fftLen >> 2; - - /* issued earlier to increase gather load idx update / gather load distance */ - /* bit-reverse fwd indexes */ - bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos); - bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos); - while (blkCnt > 0) { - uint64x2_t vecIn; - - vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs0); - idxOffs0 = idxOffs0 + 16; - vst1q(pDst32, (uint32x4_t) vecIn); - pDst32 += 4; - bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos); - - vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs1); - idxOffs1 = idxOffs1 + 16; - vst1q(pDst32, (uint32x4_t) vecIn); - pDst32 += 4; - bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos); - - blkCnt--; - } -} - - -/** - @brief Out-of-place 16 bit reversal function for helium - @param[out] pDst points to destination buffer of unknown 16-bit data type - @param[in] pSrc points to input buffer of unknown 16-bit data type - @param[in] fftLen FFT length - @return none -*/ - -__STATIC_INLINE void arm_bitreversal_16_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen) -{ - uint32x4_t idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1; - uint32_t bitRevPos, blkCnt; - uint16_t *pDst16 = (uint16_t *) pDst; - uint32_t incrIdx = 0; - - /* fwd indexes */ - idxOffs0 = vidupq_wb_u32(&incrIdx, 4); // {0, 4, 8, 12} - idxOffs1 = vidupq_wb_u32(&incrIdx, 4); // {16, 20, 24, 28} - - bitRevPos = (31 - __CLZ(fftLen)) + 4; - blkCnt = fftLen >> 3; - - /* issued earlier to increase gather load idx update / gather load distance */ - /* bit-reverse fwd indexes */ - bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos); - bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos); - while (blkCnt > 0) { - uint32x4_t vecIn; - - vecIn = vldrwq_gather_offset_u32(pSrc, bitRevOffs0); - idxOffs0 = idxOffs0 + 32; - vst1q(pDst16, (uint16x8_t) vecIn); - pDst16 += 8; - bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos); - - vecIn = vldrwq_gather_offset_u32(pSrc, bitRevOffs1); - idxOffs1 = idxOffs1 + 32; - vst1q(pDst16, (uint16x8_t) vecIn); - pDst16 += 8; - bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos); - - blkCnt--; - } -} - - -#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ - - -#ifdef __cplusplus -} -#endif - - -#endif /* _ARM_VEC_FFT_H_ */ diff --git a/third_party/cmsis-dsp/Source/CommonTables/arm_common_tables.c b/third_party/cmsis-dsp/Source/CommonTables/arm_common_tables.c deleted file mode 100644 index 5044075..0000000 --- a/third_party/cmsis-dsp/Source/CommonTables/arm_common_tables.c +++ /dev/null @@ -1,45787 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_common_tables.c - * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc - * - * $Date: 23 April 2021 - * $Revision: V1.9.0 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#include "arm_compiler_specific.h" -#include "arm_math_types.h" -#include "arm_common_tables.h" - -/** - @ingroup ComplexFFT - */ - -/** - @addtogroup CFFT_CIFFT Complex FFT Tables - @{ - */ - -/** - @par - Pseudo code for Generation of Bit reversal Table is - @par - 
for (l = 1; l <= N/4; l++)
-  {
-    for (i = 0; i< logN2; i++)
-    {
-      a[i] = l & (1 << i);
-    }
-    for (j = 0; j < logN2; j++)
-    {
-      if (a[j] != 0)
-      y[l] += (1 << ((logN2 - 1) - j));
-    }
-    y[l] = y[l] >> 1;
-   }
- @par - where N = 4096, logN2 = 12 - @par - N is the maximum FFT Size supported -*/ - -/** - @brief Table for bit reversal process -*/ -const uint16_t armBitRevTable[1024] ARM_DSP_TABLE_ATTRIBUTE = { - 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280, - 0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140, - 0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, - 0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0, - 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260, - 0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, - 0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, - 0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050, - 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0, - 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130, - 0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, - 0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0, - 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208, - 0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188, - 0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, - 0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028, - 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8, - 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168, - 0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, - 0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098, - 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258, - 0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, - 0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, - 0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078, - 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8, - 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104, - 0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, - 0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4, - 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224, - 0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, - 0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, - 0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014, - 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294, - 0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154, - 0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, - 0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4, - 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274, - 0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, - 0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, - 0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c, - 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0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e, - 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e, - 0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, - 0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be, - 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e, - 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, - 0x5fe, 0x3fe, 0x7fe, 0x001 -}; - -/** - @brief Double Precision Floating-point Twiddle factors Table Generation -*/ - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i < N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(double)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
-  }
- @par - where N = 16, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_16[32] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' - 0xbff0000000000000, 0x0000000000000000, // -1, 0' - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' - 0x0000000000000000, 0xbff0000000000000, // 0, -1' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/N);
-  }
- @par - where N = 32, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_32[64] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, //-0.19509, 0.98079' - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, //-0.55557, 0.83147' - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, //-0.83147, 0.55557' - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, //-0.98079, 0.19509' - 0xbff0000000000000, 0x0000000000000000, // -1, 0' - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, //-0.98079,-0.19509' - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, //-0.83147,-0.55557' - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, //-0.55557,-0.83147' - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, //-0.19509,-0.98079' - 0x0000000000000000, 0xbff0000000000000, // 0, -1' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509,-0.98079' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557,-0.83147' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147,-0.55557' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079,-0.19509' -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for(i = 0; i < N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 64, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_64[128] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' - 0xbff0000000000000, 0x0000000000000000, // -1, 0' - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' - 0x0000000000000000, 0xbff0000000000000, // 0, -1' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' - }; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 128, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_128[256] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988' - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918' - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003' - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154' - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399' - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773' - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321' - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095' - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156' - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957' - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141' - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756' - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689' - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298' - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673' - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068' - 0xbff0000000000000, 0x0000000000000000, // -1, 0' - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068' - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673' - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298' - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689' - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756' - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141' - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957' - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156' - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095' - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321' - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773' - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399' - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154' - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003' - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918' - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988' - 0x0000000000000000, 0xbff0000000000000, // 0, -1' - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for(i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 256, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_256[512] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 - 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 - 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 - 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 - 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 - 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 - 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 - 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 - 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 - 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 - 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 - 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 - 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 - 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 - 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 - 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 - 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 - 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 - 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 - 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 - 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 - 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 - 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 - 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 - 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 - 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 - 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 - 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 - 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 - 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 - 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 - 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 - 0xbff0000000000000, 0x0000000000000000, // -1, 0 - 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 - 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 - 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 - 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 - 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 - 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 - 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 - 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 - 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 - 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 - 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 - 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 - 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 - 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 - 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 - 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 - 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 - 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 - 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 - 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 - 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 - 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 - 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 - 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 - 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 - 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 - 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 - 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 - 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 - 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 - 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 - 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 - 0x0000000000000000, 0xbff0000000000000, // 0, -1 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 512, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_512[1024] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0xbf8921d1fcdec784, 0x3fefff62169b92db, //-0.012272, 0.99992 - 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 - 0xbfa2d865759455cd, 0x3feffa72effef75d, //-0.036807, 0.99932 - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 - 0xbfaf656e79f820e0, 0x3feff095658e71ad, //-0.061321, 0.99812 - 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 - 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //-0.085797, 0.99631 - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 - 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 - 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 - 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 - 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 - 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 - 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 - 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 - 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 - 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 - 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 - 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 - 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 - 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 - 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 - 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 - 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 - 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 - 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 - 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 - 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 - 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 - 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 - 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 - 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 - 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 - 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 - 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 - 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 - 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 - 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 - 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 - 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 - 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 - 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 - 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 - 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 - 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 - 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 - 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 - 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 - 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 - 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 - 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 - 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 - 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 - 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 - 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 - 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 - 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 - 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 - 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 - 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 - 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 - 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 - 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 - 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 - 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 - 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 - 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 - 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 - 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 - 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 - 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 - 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 - 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 - 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 - 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 - 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 - 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 - 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 - 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 - 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 - 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 - 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 - 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 - 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 - 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 - 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 - 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 - 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 - 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 - 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 - 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 - 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 - 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 - 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 - 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 - 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 - 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 - 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 - 0xbff0000000000000, 0x0000000000000000, // -1, 0 - 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992,-0.012272 - 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 - 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932,-0.036807 - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 - 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812,-0.061321 - 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 - 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631,-0.085797 - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 - 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 - 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 - 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 - 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 - 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 - 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 - 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 - 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 - 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 - 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 - 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 - 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 - 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 - 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 - 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 - 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 - 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 - 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 - 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 - 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 - 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 - 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 - 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 - 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 - 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 - 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 - 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 - 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 - 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 - 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 - 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 - 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 - 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 - 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 - 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 - 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 - 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 - 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 - 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 - 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 - 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 - 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 - 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 - 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 - 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 - 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 - 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 - 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 - 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 - 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 - 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 - 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 - 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 - 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 - 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 - 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 - 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 - 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 - 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 - 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 - 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 - 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 - 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 - 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 - 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 - 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 - 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 - 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 - 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 - 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 - 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 - 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 - 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 - 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 - 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 - 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 - 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 - 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 - 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 - 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 - 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 - 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 - 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 - 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 - 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //-0.085797, -0.99631 - 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 - 0xbfaf656e79f820e0, 0xbfeff095658e71ad, //-0.061321, -0.99812 - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 - 0xbfa2d865759455cd, 0xbfeffa72effef75d, //-0.036807, -0.99932 - 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 - 0xbf8921d1fcdec784, 0xbfefff62169b92db, //-0.012272, -0.99992 - 0x0000000000000000, 0xbff0000000000000, // 0, -1 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272 -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 1024, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_1024[2048] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 - 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 - 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 - 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 - 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 - 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 - 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 - 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 - 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 - 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 - 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 - 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 - 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 - 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 - 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 - 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 - 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 - 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 - 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 - 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 - 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 - 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 - 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 - 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 - 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 - 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 - 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 - 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 - 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 - 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 - 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 - 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 - 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 - 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 - 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 - 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 - 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 - 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 - 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 - 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 - 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 - 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 - 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 - 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 - 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 - 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 - 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 - 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 - 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 - 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 - 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 - 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 - 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 - 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 - 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 - 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 - 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 - 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 - 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 - 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 - 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 - 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 - 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 - 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 - 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 - 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 - 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 - 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 - 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 - 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 - 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 - 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 - 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 - 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 - 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 - 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 - 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 - 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 - 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 - 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 - 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 - 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 - 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 - 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 - 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 - 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 - 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 - 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 - 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 - 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 - 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 - 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 - 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 - 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 - 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 - 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 - 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 - 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 - 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 - 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 - 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 - 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 - 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 - 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 - 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 - 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 - 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 - 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 - 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 - 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 - 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 - 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 - 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 - 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 - 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 - 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 - 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 - 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 - 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 - 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 - 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 - 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 - 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 - 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 - 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 - 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 - 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 - 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 - 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 - 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 - 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 - 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 - 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 - 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 - 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 - 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 - 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 - 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 - 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 - 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 - 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 - 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 - 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 - 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 - 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 - 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 - 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 - 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 - 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 - 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 - 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 - 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 - 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 - 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 - 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 - 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 - 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 - 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 - 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 - 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 - 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 - 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 - 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 - 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 - 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 - 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 - 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 - 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 - 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 - 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 - 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 - 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 - 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 - 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 - 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 - 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 - 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 - 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 - 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 - 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 - 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 - 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 - 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 - 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 - 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 - 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 - 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 - 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 - 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 - 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 - 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 - 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 - 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 - 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 - 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 - 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 - 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 - 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 - 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 - 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 - 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 - 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 - 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 - 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 - 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 - 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 - 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 - 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 - 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 - 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 - 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 - 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 - 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 - 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 - 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 - 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 - 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 - 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 - 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 - 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 - 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 - 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 - 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 - 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 - 0xbff0000000000000, 0x0000000000000000, // -1, 0 - 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 - 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 - 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 - 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 - 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 - 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 - 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 - 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 - 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 - 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 - 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 - 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 - 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 - 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 - 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 - 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 - 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 - 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 - 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 - 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 - 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 - 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 - 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 - 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 - 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 - 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 - 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 - 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 - 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 - 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 - 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 - 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 - 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 - 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 - 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 - 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 - 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 - 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 - 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 - 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 - 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 - 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 - 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 - 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 - 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 - 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 - 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 - 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 - 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 - 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 - 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 - 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 - 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 - 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 - 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 - 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 - 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 - 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 - 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 - 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 - 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 - 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 - 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 - 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 - 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 - 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 - 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 - 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 - 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 - 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 - 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 - 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 - 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 - 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 - 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 - 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 - 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 - 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 - 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 - 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 - 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 - 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 - 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 - 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 - 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 - 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 - 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 - 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 - 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 - 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 - 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 - 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 - 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 - 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 - 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 - 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 - 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 - 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 - 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 - 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 - 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 - 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 - 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 - 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 - 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 - 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 - 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 - 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 - 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 - 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 - 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 - 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 - 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 - 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 - 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 - 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 - 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 - 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 - 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 - 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 - 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 - 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 - 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 - 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 - 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 - 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 - 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 - 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 - 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 - 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 - 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 - 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 - 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 - 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 - 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 - 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 - 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 - 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 - 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 - 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 - 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 - 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 - 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 - 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 - 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 - 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 - 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 - 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 - 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 - 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 - 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 - 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 - 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 - 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 - 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 - 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 - 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 - 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 - 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 - 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 - 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 - 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 - 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 - 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 - 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 - 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 - 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 - 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 - 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 - 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 - 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 - 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 - 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 - 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 - 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 - 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 - 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 - 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 - 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 - 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 - 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 - 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 - 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 - 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 - 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 - 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 - 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 - 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 - 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 - 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 - 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 - 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 - 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 - 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 - 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 - 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 - 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 - 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 - 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 - 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 - 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 - 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 - 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 - 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 - 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 - 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 - 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 - 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 - 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 - 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 - 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 - 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 - 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 - 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 - 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 - 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 - 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 - 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 - 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 - 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 - 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 - 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 - 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 - 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 - 0x0000000000000000, 0xbff0000000000000, // 0, -1 - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 2048, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_2048[4096] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 - 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 - 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 - 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 - 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 - 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 - 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 - 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 - 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 - 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 - 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 - 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 - 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 - 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 - 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 - 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 - 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 - 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 - 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 - 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 - 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 - 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 - 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 - 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 - 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 - 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 - 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 - 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 - 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 - 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 - 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 - 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 - 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 - 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 - 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 - 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 - 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 - 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 - 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 - 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 - 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 - 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 - 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 - 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 - 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 - 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 - 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 - 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 - 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 - 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 - 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 - 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 - 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 - 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 - 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 - 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 - 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 - 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 - 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 - 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 - 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 - 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 - 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 - 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 - 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 - 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 - 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 - 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 - 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 - 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 - 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 - 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 - 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 - 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 - 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 - 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 - 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 - 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 - 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 - 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 - 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 - 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 - 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 - 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 - 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 - 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 - 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 - 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 - 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 - 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 - 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 - 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 - 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 - 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 - 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 - 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 - 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 - 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 - 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 - 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 - 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 - 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 - 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 - 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 - 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 - 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 - 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 - 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 - 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 - 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 - 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 - 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 - 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 - 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 - 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 - 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 - 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 - 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 - 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 - 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 - 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 - 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 - 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 - 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 - 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 - 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 - 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 - 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 - 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 - 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 - 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 - 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 - 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 - 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 - 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 - 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 - 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 - 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 - 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 - 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 - 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 - 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 - 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 - 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 - 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 - 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 - 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 - 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 - 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 - 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 - 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 - 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 - 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 - 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 - 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 - 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 - 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 - 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 - 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 - 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 - 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 - 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 - 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 - 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 - 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 - 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 - 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 - 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 - 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 - 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 - 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 - 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 - 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 - 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 - 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 - 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 - 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 - 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 - 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 - 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 - 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 - 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 - 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 - 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 - 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 - 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 - 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 - 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 - 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 - 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 - 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 - 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 - 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 - 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 - 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 - 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 - 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 - 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 - 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 - 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 - 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 - 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 - 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 - 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 - 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 - 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 - 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 - 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 - 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 - 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 - 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 - 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 - 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 - 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 - 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 - 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 - 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 - 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 - 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 - 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 - 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 - 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 - 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 - 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 - 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 - 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 - 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 - 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 - 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 - 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 - 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 - 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 - 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 - 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 - 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 - 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 - 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 - 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 - 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 - 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 - 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 - 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 - 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 - 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 - 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 - 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 - 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 - 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 - 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 - 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 - 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 - 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 - 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 - 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 - 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 - 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 - 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 - 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 - 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 - 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 - 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 - 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 - 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 - 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 - 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 - 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 - 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 - 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 - 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 - 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 - 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 - 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 - 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 - 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 - 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 - 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 - 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 - 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 - 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 - 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 - 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 - 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 - 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 - 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 - 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 - 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 - 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 - 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 - 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 - 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 - 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 - 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 - 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 - 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 - 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 - 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 - 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 - 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 - 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 - 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 - 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 - 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 - 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 - 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 - 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 - 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 - 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 - 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 - 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 - 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 - 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 - 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 - 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 - 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 - 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 - 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 - 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 - 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 - 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 - 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 - 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 - 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 - 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 - 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 - 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 - 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 - 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 - 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 - 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 - 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 - 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 - 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 - 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 - 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 - 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 - 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 - 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 - 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 - 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 - 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 - 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 - 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 - 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 - 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 - 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 - 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 - 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 - 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 - 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 - 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 - 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 - 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 - 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 - 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 - 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 - 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 - 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 - 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 - 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 - 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 - 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 - 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 - 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 - 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 - 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 - 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 - 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 - 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 - 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 - 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 - 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 - 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 - 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 - 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 - 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 - 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 - 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 - 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 - 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 - 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 - 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 - 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 - 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 - 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 - 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 - 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 - 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 - 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 - 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 - 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 - 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 - 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 - 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 - 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 - 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 - 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 - 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 - 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 - 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 - 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 - 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 - 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 - 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 - 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 - 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 - 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 - 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 - 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 - 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 - 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 - 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 - 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 - 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 - 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 - 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 - 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 - 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 - 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 - 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 - 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 - 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 - 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 - 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 - 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 - 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 - 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 - 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 - 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 - 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 - 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 - 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 - 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 - 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 - 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 - 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 - 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 - 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 - 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 - 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 - 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 - 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 - 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 - 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 - 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 - 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 - 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 - 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 - 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 - 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 - 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 - 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 - 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 - 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 - 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 - 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 - 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 - 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 - 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 - 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 - 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 - 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 - 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 - 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 - 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 - 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 - 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 - 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 - 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 - 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 - 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 - 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 - 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 - 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 - 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 - 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 - 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 - 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 - 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 - 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 - 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 - 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 - 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 - 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 - 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 - 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 - 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 - 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 - 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 - 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 - 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 - 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 - 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 - 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 - 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 - 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 - 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 - 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 - 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 - 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 - 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 - 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 - 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 - 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 - 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 - 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 - 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 - 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 - 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 - 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 - 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 - 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 - 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 - 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 - 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 - 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 - 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 - 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 - 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 - 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 - 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 - 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 - 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 - 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 - 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 - 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 - 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 - 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 - 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 - 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 - 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 - 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 - 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 - 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 - 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 - 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 - 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 - 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 - 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 - 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 - 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 - 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 - 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 - 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 - 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 - 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 - 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 - 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 - 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 - 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 - 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 - 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 - 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 - 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 - 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 - 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 - 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 - 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 - 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 - 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 - 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 - 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 - 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 - 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 - 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 - 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 - 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 - 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 - 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 - 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 - 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 - 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 - 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 - 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 - 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 - 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 - 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 - 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 - 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 - 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 - 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 - 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 - 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 - 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 - 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 - 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 - 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 - 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 - 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 - 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 - 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 - 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 - 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 - 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 - 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 - 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 - 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 - 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 - 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 - 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 - 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 - 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 - 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 - 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 - 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 - 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 - 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 - 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 - 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 - 0xbff0000000000000, 0x0000000000000000, // -1, 0 - 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 - 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 - 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 - 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 - 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 - 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 - 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 - 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 - 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 - 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 - 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 - 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 - 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 - 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 - 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 - 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 - 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 - 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 - 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 - 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 - 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 - 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 - 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 - 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 - 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 - 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 - 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 - 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 - 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 - 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 - 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 - 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 - 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 - 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 - 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 - 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 - 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 - 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 - 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 - 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 - 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 - 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 - 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 - 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 - 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 - 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 - 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 - 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 - 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 - 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 - 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 - 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 - 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 - 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 - 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 - 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 - 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 - 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 - 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 - 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 - 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 - 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 - 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 - 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 - 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 - 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 - 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 - 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 - 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 - 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 - 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 - 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 - 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 - 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 - 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 - 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 - 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 - 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 - 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 - 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 - 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 - 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 - 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 - 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 - 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 - 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 - 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 - 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 - 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 - 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 - 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 - 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 - 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 - 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 - 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 - 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 - 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 - 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 - 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 - 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 - 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 - 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 - 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 - 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 - 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 - 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 - 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 - 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 - 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 - 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 - 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 - 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 - 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 - 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 - 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 - 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 - 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 - 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 - 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 - 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 - 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 - 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 - 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 - 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 - 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 - 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 - 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 - 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 - 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 - 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 - 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 - 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 - 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 - 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 - 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 - 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 - 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 - 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 - 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 - 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 - 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 - 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 - 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 - 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 - 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 - 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 - 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 - 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 - 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 - 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 - 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 - 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 - 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 - 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 - 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 - 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 - 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 - 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 - 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 - 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 - 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 - 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 - 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 - 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 - 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 - 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 - 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 - 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 - 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 - 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 - 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 - 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 - 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 - 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 - 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 - 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 - 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 - 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 - 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 - 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 - 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 - 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 - 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 - 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 - 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 - 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 - 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 - 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 - 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 - 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 - 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 - 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 - 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 - 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 - 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 - 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 - 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 - 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 - 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 - 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 - 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 - 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 - 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 - 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 - 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 - 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 - 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 - 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 - 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 - 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 - 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 - 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 - 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 - 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 - 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 - 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 - 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 - 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 - 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 - 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 - 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 - 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 - 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 - 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 - 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 - 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 - 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 - 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 - 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 - 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 - 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 - 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 - 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 - 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 - 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 - 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 - 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 - 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 - 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 - 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 - 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 - 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 - 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 - 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 - 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 - 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 - 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 - 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 - 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 - 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 - 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 - 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 - 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 - 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 - 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 - 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 - 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 - 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 - 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 - 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 - 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 - 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 - 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 - 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 - 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 - 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 - 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 - 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 - 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 - 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 - 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 - 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 - 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 - 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 - 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 - 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 - 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 - 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 - 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 - 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 - 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 - 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 - 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 - 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 - 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 - 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 - 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 - 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 - 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 - 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 - 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 - 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 - 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 - 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 - 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 - 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 - 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 - 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 - 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 - 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 - 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 - 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 - 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 - 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 - 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 - 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 - 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 - 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 - 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 - 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 - 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 - 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 - 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 - 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 - 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 - 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 - 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 - 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 - 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 - 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 - 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 - 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 - 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 - 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 - 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 - 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 - 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 - 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 - 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 - 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 - 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 - 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 - 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 - 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 - 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 - 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 - 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 - 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 - 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 - 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 - 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 - 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 - 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 - 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 - 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 - 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 - 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 - 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 - 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 - 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 - 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 - 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 - 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 - 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 - 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 - 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 - 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 - 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 - 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 - 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 - 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 - 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 - 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 - 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 - 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 - 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 - 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 - 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 - 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 - 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 - 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 - 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 - 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 - 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 - 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 - 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 - 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 - 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 - 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 - 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 - 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 - 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 - 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 - 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 - 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 - 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 - 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 - 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 - 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 - 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 - 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 - 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 - 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 - 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 - 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 - 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 - 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 - 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 - 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 - 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 - 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 - 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 - 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 - 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 - 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 - 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 - 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 - 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 - 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 - 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 - 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 - 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 - 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 - 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 - 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 - 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 - 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 - 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 - 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 - 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 - 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 - 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 - 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 - 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 - 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 - 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 - 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 - 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 - 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 - 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 - 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 - 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 - 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 - 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 - 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 - 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 - 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 - 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 - 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 - 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 - 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 - 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 - 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 - 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 - 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 - 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 - 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 - 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 - 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 - 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 - 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 - 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 - 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 - 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 - 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 - 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 - 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 - 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 - 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 - 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 - 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 - 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 - 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 - 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 - 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 - 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 - 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 - 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 - 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 - 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 - 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 - 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 - 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 - 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 - 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 - 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 - 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 - 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 - 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 - 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 - 0x0000000000000000, 0xbff0000000000000, // 0, -1 - 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 - 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 - 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 - 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 - 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 - 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 - 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 - 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 - 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 - 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 - 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 - 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 - 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 - 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 - 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 - 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 - 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 - 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 - 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 - 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 - 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 - 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 - 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 - 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 - 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 - 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 - 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 - 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 - 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 - 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 - 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 - 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 - 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 - 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 - 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 - 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 - 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 - 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 - 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 - 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 - 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 - 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 - 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 - 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 - 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 - 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 - 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 - 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 - 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 - 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 - 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 - 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 - 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 - 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 - 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 - 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 - 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 - 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 - 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 - 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 - 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 - 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 - 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 - 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 - 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 - 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 - 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 - 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 - 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 - 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 - 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 - 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 - 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 - 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 - 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 - 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 - 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 - 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 - 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 - 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 - 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 - 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 - 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 - 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 - 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 - 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 - 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 - 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 - 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 - 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 - 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 - 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 - 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 - 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 - 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 - 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 - 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 - 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 - 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 - 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 - 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 - 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 - 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 - 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 - 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 - 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 - 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 - 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 - 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 - 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 - 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 - 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 - 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 - 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 - 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 - 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 - 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 - 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 - 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 - 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 - 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 - 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 - 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 - 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 - 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 - 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 - 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 - 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 - 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 - 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 - 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 - 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 - 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 - 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 - 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 - 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 - 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 - -}; - -/** - @par - Example code for Double Precision Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 4096, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_4096[8192] ARM_DSP_TABLE_ATTRIBUTE = { - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 - 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 - 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 - 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 - 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 - 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 - 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 - 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 - 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 - 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 - 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 - 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 - 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 - 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 - 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 - 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 - 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 - 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 - 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 - 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 - 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 - 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 - 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 - 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 - 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 - 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 - 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 - 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 - 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 - 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 - 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 - 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 - 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 - 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 - 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 - 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 - 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 - 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 - 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 - 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 - 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 - 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 - 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 - 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 - 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 - 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 - 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 - 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 - 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 - 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 - 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 - 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 - 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 - 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 - 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 - 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 - 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 - 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 - 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 - 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 - 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 - 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 - 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 - 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 - 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 - 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 - 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 - 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 - 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 - 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 - 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 - 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 - 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 - 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 - 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 - 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 - 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 - 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 - 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 - 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 - 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 - 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 - 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 - 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 - 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 - 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 - 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 - 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 - 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 - 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 - 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 - 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 - 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 - 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 - 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 - 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 - 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 - 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 - 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 - 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 - 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 - 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 - 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 - 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 - 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 - 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 - 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 - 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 - 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 - 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 - 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 - 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 - 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 - 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 - 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 - 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 - 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 - 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 - 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 - 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 - 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 - 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 - 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 - 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 - 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 - 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 - 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 - 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 - 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 - 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 - 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 - 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 - 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 - 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 - 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 - 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 - 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 - 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 - 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 - 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 - 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 - 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 - 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 - 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 - 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 - 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 - 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 - 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 - 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 - 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 - 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 - 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 - 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 - 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 - 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 - 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 - 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 - 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 - 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 - 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 - 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 - 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 - 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 - 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 - 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 - 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 - 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 - 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 - 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 - 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 - 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 - 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 - 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 - 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 - 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 - 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 - 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 - 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 - 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 - 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 - 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 - 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 - 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 - 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 - 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 - 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 - 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 - 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 - 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 - 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 - 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 - 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 - 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 - 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 - 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 - 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 - 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 - 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 - 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 - 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 - 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 - 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 - 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 - 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 - 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 - 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 - 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 - 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 - 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 - 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 - 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 - 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 - 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 - 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 - 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 - 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 - 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 - 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 - 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 - 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 - 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 - 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 - 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 - 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 - 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 - 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 - 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 - 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 - 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 - 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 - 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 - 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 - 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 - 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 - 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 - 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 - 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 - 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 - 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 - 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 - 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 - 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 - 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 - 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 - 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 - 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 - 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 - 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 - 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 - 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 - 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 - 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 - 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 - 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 - 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 - 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 - 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 - 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 - 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 - 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 - 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 - 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 - 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 - 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 - 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 - 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 - 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 - 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 - 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 - 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 - 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 - 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 - 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 - 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 - 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 - 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 - 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 - 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 - 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 - 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 - 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 - 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 - 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 - 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 - 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 - 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 - 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 - 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 - 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 - 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 - 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 - 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 - 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 - 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 - 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 - 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 - 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 - 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 - 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 - 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 - 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 - 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 - 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 - 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 - 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 - 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 - 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 - 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 - 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 - 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 - 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 - 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 - 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 - 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 - 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 - 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 - 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 - 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 - 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 - 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 - 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 - 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 - 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 - 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 - 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 - 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 - 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 - 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 - 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 - 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 - 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 - 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 - 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 - 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 - 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 - 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 - 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 - 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 - 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 - 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 - 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 - 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 - 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 - 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 - 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 - 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 - 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 - 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 - 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 - 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 - 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 - 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 - 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 - 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 - 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 - 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 - 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 - 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 - 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 - 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 - 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 - 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 - 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 - 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 - 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 - 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 - 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 - 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 - 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 - 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 - 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 - 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 - 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 - 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 - 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 - 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 - 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 - 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 - 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 - 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 - 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 - 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 - 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 - 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 - 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 - 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 - 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 - 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 - 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 - 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 - 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 - 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 - 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 - 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 - 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 - 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 - 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 - 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 - 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 - 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 - 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 - 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 - 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 - 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 - 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 - 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 - 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 - 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 - 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 - 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 - 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 - 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 - 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 - 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 - 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 - 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 - 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 - 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 - 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 - 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 - 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 - 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 - 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 - 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 - 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 - 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 - 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 - 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 - 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 - 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 - 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 - 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 - 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 - 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 - 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 - 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 - 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 - 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 - 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 - 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 - 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 - 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 - 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 - 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 - 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 - 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 - 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 - 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 - 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 - 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 - 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 - 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 - 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 - 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 - 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 - 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 - 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 - 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 - 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 - 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 - 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 - 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 - 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 - 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 - 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 - 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 - 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 - 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 - 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 - 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 - 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 - 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 - 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 - 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 - 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 - 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 - 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 - 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 - 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 - 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 - 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 - 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 - 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 - 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 - 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 - 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 - 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 - 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 - 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 - 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 - 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 - 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 - 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 - 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 - 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 - 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 - 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 - 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 - 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 - 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 - 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 - 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 - 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 - 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 - 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 - 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 - 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 - 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 - 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 - 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 - 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 - 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 - 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 - 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 - 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 - 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 - 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 - 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 - 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 - 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 - 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 - 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 - 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 - 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 - 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 - 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 - 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 - 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 - 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 - 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 - 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 - 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 - 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 - 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 - 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 - 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 - 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 - 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 - 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 - 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 - 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 - 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 - 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 - 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 - 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 - 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 - 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 - 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 - 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 - 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 - 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 - 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 - 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 - 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 - 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 - 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 - 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 - 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 - 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 - 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 - 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 - 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 - 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 - 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 - 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 - 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 - 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 - 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 - 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 - 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 - 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 - 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 - 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 - 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 - 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 - 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 - 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 - 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 - 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 - 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 - 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 - 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 - 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 - 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 - 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 - 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 - 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 - 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 - 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 - 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 - 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 - 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 - 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 - 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 - 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 - 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 - 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 - 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 - 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 - 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 - 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 - 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 - 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 - 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 - 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 - 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 - 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 - 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 - 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 - 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 - 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 - 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 - 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 - 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 - 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 - 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 - 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 - 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 - 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 - 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 - 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 - 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 - 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 - 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 - 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 - 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 - 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 - 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 - 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 - 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 - 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 - 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 - 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 - 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 - 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 - 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 - 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 - 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, // 0.0076698, 0.99997 - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 - 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, // 0.0046019, 0.99999 - 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 - 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0xbf5921faaee6472d, 0x3feffffd88586ee6, // -0.001534, 1 - 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 - 0xbf72d97822f996bc, 0x3fefffe9cb1e2e8d, //-0.0046019, 0.99999 - 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 - 0xbf7f6a65f9a2a3c5, 0x3fefffc250b5daef, //-0.0076698, 0.99997 - 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 - 0xbf85fda037ac05e0, 0x3fefff871937ce2f, // -0.010738, 0.99994 - 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 - 0xbf8c45ffe1e48ad9, 0x3fefff3824c88f6f, // -0.013805, 0.9999 - 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 - 0xbf9147270dad7132, 0x3feffed57398d2b7, // -0.016873, 0.99986 - 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 - 0xbf946b4381fce81c, 0x3feffe5f05e578db, // -0.01994, 0.9998 - 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 - 0xbf978f535ddc9f03, 0x3feffdd4dbf78f52, // -0.023008, 0.99974 - 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 - 0xbf9ab354b1504fca, 0x3feffd36f624500c, // -0.026075, 0.99966 - 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 - 0xbf9dd7458c64ab39, 0x3feffc8554cd213a, // -0.029142, 0.99958 - 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 - 0xbfa07d91ff984580, 0x3feffbbff85f9515, // -0.032208, 0.99948 - 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 - 0xbfa20f770ceb11c6, 0x3feffae6e1556998, // -0.035274, 0.99938 - 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 - 0xbfa3a150f6421afc, 0x3feff9fa10348837, // -0.03834, 0.99926 - 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 - 0xbfa5331ec3bba0eb, 0x3feff8f9858f058b, // -0.041406, 0.99914 - 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 - 0xbfa6c4df7d7d5b84, 0x3feff7e5420320f9, // -0.044471, 0.99901 - 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 - 0xbfa856922bb513c1, 0x3feff6bd463b444d, // -0.047535, 0.99887 - 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 - 0xbfa9e835d6993c87, 0x3feff58192ee0358, // -0.0506, 0.99872 - 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 - 0xbfab79c986698b78, 0x3feff43228de1b77, // -0.053664, 0.99856 - 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 - 0xbfad0b4c436f91d0, 0x3feff2cf08da7321, // -0.056727, 0.99839 - 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 - 0xbfae9cbd15ff5527, 0x3feff15833be1965, // -0.05979, 0.99821 - 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 - 0xbfb0170d833bf421, 0x3fefefcdaa704562, // -0.062852, 0.99802 - 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 - 0xbfb0dfb28ea201e6, 0x3fefee2f6de455ba, // -0.065913, 0.99783 - 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 - 0xbfb1a84d316d4f8a, 0x3fefec7d7f19cffc, // -0.068974, 0.99762 - 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 - 0xbfb270dcefdfc45b, 0x3fefeab7df1c6005, // -0.072035, 0.9974 - 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 - 0xbfb339614e41ffa5, 0x3fefe8de8f03d75c, // -0.075094, 0.99718 - 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 - 0xbfb401d9d0e3a507, 0x3fefe6f18ff42c84, // -0.078153, 0.99694 - 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 - 0xbfb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // -0.081211, 0.9967 - 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 - 0xbfb592a554489bc8, 0x3fefe2dc89bbff08, // -0.084269, 0.99644 - 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 - 0xbfb65af75dd0f87b, 0x3fefe0b485181be3, // -0.087326, 0.99618 - 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 - 0xbfb7233b9d236e71, 0x3fefde78d68653fd, // -0.090381, 0.99591 - 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 - 0xbfb7eb7196b72ee4, 0x3fefdc297f674ba9, // -0.093436, 0.99563 - 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 - 0xbfb8b398cf0c38e0, 0x3fefd9c68127c78c, // -0.09649, 0.99533 - 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 - 0xbfb97bb0caaba56f, 0x3fefd74fdd40abbf, // -0.099544, 0.99503 - 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 - 0xbfba43b90e27f3c4, 0x3fefd4c59536fae4, // -0.1026, 0.99472 - 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 - 0xbfbb0bb11e1d5559, 0x3fefd227aa9bd53b, // -0.10565, 0.9944 - 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 - 0xbfbbd3987f31fa0e, 0x3fefcf761f0c77a3, // -0.1087, 0.99407 - 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 - 0xbfbc9b6eb6165c42, 0x3fefccb0f4323aa3, // -0.11175, 0.99374 - 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 - 0xbfbd633347858ce4, 0x3fefc9d82bc2915e, // -0.11479, 0.99339 - 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 - 0xbfbe2ae5b8457f77, 0x3fefc6ebc77f0887, // -0.11784, 0.99303 - 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 - 0xbfbef2858d27561b, 0x3fefc3ebc935454c, // -0.12089, 0.99267 - 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 - 0xbfbfba124b07ad85, 0x3fefc0d832bf043a, // -0.12393, 0.99229 - 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 - 0xbfc040c5bb67747e, 0x3fefbdb106021816, // -0.12698, 0.99191 - 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 - 0xbfc0a4784ab8bf1d, 0x3fefba7644f068b5, // -0.13002, 0.99151 - 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 - 0xbfc1082095f820b0, 0x3fefb727f187f1c7, // -0.13306, 0.99111 - 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 - 0xbfc16bbe5fac5865, 0x3fefb3c60dd2c199, // -0.1361, 0.9907 - 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 - 0xbfc1cf516a62a077, 0x3fefb0509be6f7db, // -0.13914, 0.99027 - 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 - 0xbfc232d978aed413, 0x3fefacc79de6c44f, // -0.14218, 0.98984 - 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 - 0xbfc296564d2b953e, 0x3fefa92b1600657c, // -0.14521, 0.9894 - 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 - 0xbfc2f9c7aa7a72af, 0x3fefa57b066e2754, // -0.14825, 0.98895 - 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 - 0xbfc35d2d53440db2, 0x3fefa1b7717661d5, // -0.15128, 0.98849 - 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 - 0xbfc3c0870a383ff6, 0x3fef9de0596b77a3, // -0.15431, 0.98802 - 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 - 0xbfc423d4920e4166, 0x3fef99f5c0abd496, // -0.15734, 0.98754 - 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 - 0xbfc48715ad84cdf5, 0x3fef95f7a9a1ec47, // -0.16037, 0.98706 - 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 - 0xbfc4ea4a1f624b61, 0x3fef91e616c43891, // -0.1634, 0.98656 - 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 - 0xbfc54d71aa74ef02, 0x3fef8dc10a95380d, // -0.16643, 0.98605 - 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 - 0xbfc5b08c1192e381, 0x3fef898887a36c84, // -0.16945, 0.98554 - 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 - 0xbfc61399179a6e94, 0x3fef853c9089595e, // -0.17247, 0.98501 - 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 - 0xbfc676987f7216b8, 0x3fef80dd27ed8204, // -0.17549, 0.98448 - 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 - 0xbfc6d98a0c08c8da, 0x3fef7c6a50826840, // -0.17851, 0.98394 - 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 - 0xbfc73c6d8055fe0a, 0x3fef77e40d068a90, // -0.18153, 0.98339 - 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 - 0xbfc79f429f59e11d, 0x3fef734a60446279, // -0.18455, 0.98282 - 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 - 0xbfc802092c1d744b, 0x3fef6e9d4d1262ca, // -0.18756, 0.98225 - 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 - 0xbfc864c0e9b2b6cf, 0x3fef69dcd652f5de, // -0.19057, 0.98167 - 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 - 0xbfc8c7699b34ca7e, 0x3fef6508fef47bd5, // -0.19359, 0.98108 - 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 - 0xbfc92a0303c8194f, 0x3fef6021c9f148c2, // -0.19659, 0.98048 - 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 - 0xbfc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // -0.1996, 0.97988 - 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 - 0xbfc9ef0706e35a35, 0x3fef56195321c090, // -0.20261, 0.97926 - 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 - 0xbfca517127e3dabc, 0x3fef50f81785c6b9, // -0.20561, 0.97863 - 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 - 0xbfcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // -0.20861, 0.978 - 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 - 0xbfcb16147941ca2a, 0x3fef467bafb7bbe0, // -0.21161, 0.97735 - 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 - 0xbfcb784d30536cda, 0x3fef412089fd8adc, // -0.21461, 0.9767 - 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 - 0xbfcbda74f5856330, 0x3fef3bb21cc4fe47, // -0.2176, 0.97604 - 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 - 0xbfcc3c8b8c4b9dd7, 0x3fef36306b67c556, // -0.2206, 0.97536 - 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 - 0xbfcc9e90b824a6a9, 0x3fef309b794b719f, // -0.22359, 0.97468 - 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 - 0xbfcd00843c99c5f9, 0x3fef2af349e17507, // -0.22658, 0.97399 - 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 - 0xbfcd6265dd3f27e3, 0x3fef2537e0a71f9f, // -0.22957, 0.97329 - 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 - 0xbfcdc4355db40195, 0x3fef1f6941259d7a, // -0.23255, 0.97258 - 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 - 0xbfce25f281a2b684, 0x3fef19876ef1f486, // -0.23553, 0.97187 - 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 - 0xbfce879d0cc0fdaf, 0x3fef13926dad024e, // -0.23851, 0.97114 - 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 - 0xbfcee934c2d006c7, 0x3fef0d8a410379c5, // -0.24149, 0.9704 - 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 - 0xbfcf4ab9679c9f5c, 0x3fef076eecade0fa, // -0.24447, 0.96966 - 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 - 0xbfcfac2abeff57ff, 0x3fef014074708ed3, // -0.24744, 0.9689 - 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 - 0xbfd006c4466e54af, 0x3feefafedc1ba8b7, // -0.25041, 0.96814 - 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 - 0xbfd037694a928cac, 0x3feef4aa278b2032, // -0.25338, 0.96737 - 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 - 0xbfd068044deab002, 0x3feeee425aa6b09a, // -0.25635, 0.96658 - 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 - 0xbfd09895327b465e, 0x3feee7c77961dc9e, // -0.25931, 0.96579 - 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 - 0xbfd0c91bda4f158d, 0x3feee13987bbebdc, // -0.26227, 0.96499 - 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 - 0xbfd0f998277733f7, 0x3feeda9889bfe86a, // -0.26523, 0.96418 - 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 - 0xbfd12a09fc0b1b12, 0x3feed3e483849c51, // -0.26819, 0.96337 - 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 - 0xbfd15a713a28b9d9, 0x3feecd1d792c8f10, // -0.27115, 0.96254 - 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 - 0xbfd18acdc3f4873a, 0x3feec6436ee60309, // -0.2741, 0.9617 - 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 - 0xbfd1bb1f7b999480, 0x3feebf5668eaf2ef, // -0.27705, 0.96086 - 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 - 0xbfd1eb6643499fbb, 0x3feeb8566b810f2a, // -0.27999, 0.96 - 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 - 0xbfd21ba1fd3d2623, 0x3feeb1437af9bb34, // -0.28294, 0.95914 - 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 - 0xbfd24bd28bb37672, 0x3feeaa1d9bb20af3, // -0.28588, 0.95827 - 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 - 0xbfd27bf7d0f2c346, 0x3feea2e4d212c000, // -0.28882, 0.95738 - 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 - 0xbfd2ac11af483572, 0x3fee9b99229046f8, // -0.29175, 0.95649 - 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 - 0xbfd2dc200907fe51, 0x3fee943a91aab4b4, // -0.29469, 0.95559 - 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 - 0xbfd30c22c08d6a13, 0x3fee8cc923edc388, // -0.29762, 0.95469 - 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 - 0xbfd33c19b83af207, 0x3fee8544ddf0d075, // -0.30054, 0.95377 - 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 - 0xbfd36c04d27a4edf, 0x3fee7dadc456d850, // -0.30347, 0.95284 - 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 - 0xbfd39be3f1bc8aef, 0x3fee7603dbce74e9, // -0.30639, 0.95191 - 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 - 0xbfd3cbb6f87a146e, 0x3fee6e472911da27, // -0.30931, 0.95096 - 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 - 0xbfd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // -0.31222, 0.95001 - 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 - 0xbfd42b38466e2928, 0x3fee5e95781ebf1c, // -0.31514, 0.94905 - 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 - 0xbfd45ae652bb2800, 0x3fee56a083968eb1, // -0.31805, 0.94807 - 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 - 0xbfd48a87d0b07fd7, 0x3fee4e98d836c0af, // -0.32096, 0.94709 - 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 - 0xbfd4ba1ca2eca31c, 0x3fee467e7af35f23, // -0.32386, 0.94611 - 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 - 0xbfd4e9a4ac15d520, 0x3fee3e5170cbfc46, // -0.32676, 0.94511 - 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 - 0xbfd5191fceda3c35, 0x3fee3611becbaf69, // -0.32966, 0.9441 - 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 - 0xbfd5488dedeff3be, 0x3fee2dbf6a0911d9, // -0.33255, 0.94308 - 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 - 0xbfd577eeec151e47, 0x3fee255a77a63bb8, // -0.33545, 0.94206 - 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 - 0xbfd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // -0.33833, 0.94103 - 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 - 0xbfd5d68910aee686, 0x3fee1458cec1ad83, // -0.34122, 0.93998 - 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 - 0xbfd605c1fcc88f63, 0x3fee0bbc22bd8349, // -0.3441, 0.93893 - 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 - 0xbfd634ed533be58e, 0x3fee030cee1435b8, // -0.34698, 0.93787 - 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 - 0xbfd6640af6f03d9e, 0x3fedfa4b3621271d, // -0.34986, 0.9368 - 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 - 0xbfd6931acad55f51, 0x3fedf177004b2534, // -0.35273, 0.93573 - 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 - 0xbfd6c21cb1e39771, 0x3fede890520465ce, // -0.3556, 0.93464 - 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 - 0xbfd6f1108f1bc9c5, 0x3feddf9730ca837b, // -0.35846, 0.93354 - 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 - 0xbfd71ff6458782ec, 0x3fedd68ba2267a25, // -0.36133, 0.93244 - 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 - 0xbfd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // -0.36418, 0.93133 - 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 - 0xbfd77d96ca4b73a6, 0x3fedc43d52fcb453, // -0.36704, 0.93021 - 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 - 0xbfd7ac515ee2b172, 0x3fedbafa9dc1b78d, // -0.36989, 0.92907 - 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 - 0xbfd7dafd592ba621, 0x3fedb1a591b20c38, // -0.37274, 0.92794 - 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 - 0xbfd8099a9c5c362d, 0x3feda83e348f613b, // -0.37559, 0.92679 - 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 - 0xbfd838290bb359c8, 0x3fed9ec48c26b1f3, // -0.37843, 0.92563 - 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 - 0xbfd866a88a792ea0, 0x3fed95389e50429b, // -0.38127, 0.92447 - 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 - 0xbfd89518fbff098e, 0x3fed8b9a70ef9cb4, // -0.3841, 0.92329 - 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 - 0xbfd8c37a439f884f, 0x3fed81ea09f38b63, // -0.38693, 0.92211 - 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 - 0xbfd8f1cc44bea329, 0x3fed78276f5617c6, // -0.38976, 0.92092 - 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 - 0xbfd9200ee2c9be97, 0x3fed6e52a71c8547, // -0.39258, 0.91972 - 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 - 0xbfd94e420137bce3, 0x3fed646bb7574de5, // -0.3954, 0.91851 - 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 - 0xbfd97c6583890fc2, 0x3fed5a72a6221e73, // -0.39822, 0.91729 - 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 - 0xbfd9aa794d47c9ee, 0x3fed506779a3d2d9, // -0.40103, 0.91606 - 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 - 0xbfd9d87d4207b0ab, 0x3fed464a380e7242, // -0.40384, 0.91483 - 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 - 0xbfda067145664d57, 0x3fed3c1ae79f2b4e, // -0.40664, 0.91359 - 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 - 0xbfda34553b0afee5, 0x3fed31d98e9e503a, // -0.40944, 0.91234 - 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 - 0xbfda622906a70b63, 0x3fed2786335f52fc, // -0.41224, 0.91107 - 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 - 0xbfda8fec8bf5b166, 0x3fed1d20dc40c15c, // -0.41503, 0.90981 - 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 - 0xbfdabd9faebc3980, 0x3fed12a98fac410c, // -0.41782, 0.90853 - 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 - 0xbfdaeb4252ca07ab, 0x3fed082054168bac, // -0.42061, 0.90724 - 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 - 0xbfdb18d45bf8aca6, 0x3fecfd852fff6ad4, // -0.42339, 0.90595 - 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 - 0xbfdb4655ae2bf757, 0x3fecf2d829f1b40e, // -0.42617, 0.90464 - 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 - 0xbfdb73c62d520624, 0x3fece819488344ce, // -0.42894, 0.90333 - 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 - 0xbfdba125bd63583e, 0x3fecdd489254fe65, // -0.43171, 0.90201 - 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 - 0xbfdbce744262deee, 0x3fecd2660e12c1e6, // -0.43448, 0.90068 - 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 - 0xbfdbfbb1a05e0edc, 0x3fecc771c2736c09, // -0.43724, 0.89935 - 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 - 0xbfdc28ddbb6cf145, 0x3fecbc6bb638d10b, // -0.43999, 0.898 - 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 - 0xbfdc55f877b23537, 0x3fecb153f02fb87d, // -0.44275, 0.89665 - 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 - 0xbfdc8301b95b40c2, 0x3feca62a772fd919, // -0.4455, 0.89528 - 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 - 0xbfdcaff964a0421d, 0x3fec9aef521bd480, // -0.44824, 0.89391 - 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 - 0xbfdcdcdf5dc440ce, 0x3fec8fa287e13305, // -0.45098, 0.89253 - 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 - 0xbfdd09b389152ec1, 0x3fec84441f785f61, // -0.45372, 0.89115 - 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 - 0xbfdd3675caebf962, 0x3fec78d41fe4a267, // -0.45645, 0.88975 - 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 - 0xbfdd632607ac9aa9, 0x3fec6d5290341eb2, // -0.45918, 0.88835 - 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 - 0xbfdd8fc423c62a25, 0x3fec61bf777fcc48, // -0.4619, 0.88693 - 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 - 0xbfddbc5003b2edf8, 0x3fec561adceb743e, // -0.46462, 0.88551 - 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 - 0xbfdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // -0.46733, 0.88408 - 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 - 0xbfde1530a12779f4, 0x3fec3e9d3ee7d262, // -0.47004, 0.88264 - 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 - 0xbfde418527dc4ffa, 0x3fec32c449f60831, // -0.47275, 0.8812 - 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 - 0xbfde6dc704be97e2, 0x3fec26d9f01f2eaf, // -0.47545, 0.87974 - 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 - 0xbfde99f61c817eda, 0x3fec1ade38bce19b, // -0.47815, 0.87828 - 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 - 0xbfdec61253e3c61b, 0x3fec0ed12b3372e9, // -0.48084, 0.87681 - 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 - 0xbfdef21b8fafd3b5, 0x3fec02b2cef1e641, // -0.48353, 0.87533 - 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 - 0xbfdf1e11b4bbc35c, 0x3febf6832b71ec5b, // -0.48621, 0.87384 - 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 - 0xbfdf49f4a7e97729, 0x3febea424837de6d, // -0.48889, 0.87235 - 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 - 0xbfdf75c44e26a852, 0x3febddf02cd2b983, // -0.49156, 0.87084 - 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 - 0xbfdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // -0.49423, 0.86933 - 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 - 0xbfdfcd2947c1ff57, 0x3febc5186bf8361d, // -0.4969, 0.86781 - 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 - 0xbfdff8be6537615e, 0x3febb892d5d5dad5, // -0.49956, 0.86628 - 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 - 0xbfe0121fe4f56d2c, 0x3febabfc262e6586, // -0.50221, 0.86474 - 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 - 0xbfe027d6ad83287e, 0x3feb9f5464c5bffc, // -0.50486, 0.8632 - 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 - 0xbfe03d837edff370, 0x3feb929b996a5b7f, // -0.50751, 0.86165 - 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 - 0xbfe053264bad0483, 0x3feb85d1cbf52c02, // -0.51015, 0.86009 - 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 - 0xbfe068bf0691c028, 0x3feb78f70449a34b, // -0.51279, 0.85852 - 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 - 0xbfe07e4da23bc102, 0x3feb6c0b4a55ac17, // -0.51542, 0.85694 - 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 - 0xbfe093d2115ee018, 0x3feb5f0ea611a532, // -0.51804, 0.85535 - 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 - 0xbfe0a94c46b53d0b, 0x3feb52011f805c92, // -0.52067, 0.85376 - 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 - 0xbfe0bebc34ff4646, 0x3feb44e2beaf0a61, // -0.52328, 0.85216 - 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 - 0xbfe0d421cf03c12b, 0x3feb37b38bb54c09, // -0.5259, 0.85055 - 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 - 0xbfe0e97d078fd23b, 0x3feb2a738eb51f33, // -0.5285, 0.84893 - 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 - 0xbfe0fecdd1770537, 0x3feb1d22cfdadcc6, // -0.5311, 0.84731 - 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 - 0xbfe114141f935545, 0x3feb0fc1575d33db, // -0.5337, 0.84567 - 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 - 0xbfe1294fe4c5350a, 0x3feb024f2d7d24a9, // -0.53629, 0.84403 - 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 - 0xbfe13e8113f396c1, 0x3feaf4cc5a85fb73, // -0.53888, 0.84238 - 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 - 0xbfe153a7a00bf453, 0x3feae738e6cd4b67, // -0.54146, 0.84073 - 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 - 0xbfe168c37c025764, 0x3fead994dab2e979, // -0.54404, 0.83906 - 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 - 0xbfe17dd49ad16161, 0x3feacbe03ea0e73b, // -0.54661, 0.83739 - 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 - 0xbfe192daef7a5386, 0x3feabe1b1b0b8dac, // -0.54918, 0.83571 - 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 - 0xbfe1a7d66d0516e6, 0x3feab045787157ff, // -0.55174, 0.83402 - 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 - 0xbfe1bcc706804467, 0x3feaa25f5f5aee60, // -0.55429, 0.83232 - 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 - 0xbfe1d1acaf012cc2, 0x3fea9468d85b20ae, // -0.55685, 0.83062 - 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 - 0xbfe1e68759a3e074, 0x3fea8661ec0ee133, // -0.55939, 0.8289 - 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 - 0xbfe1fb56f98b37b8, 0x3fea784aa31d3f55, // -0.56193, 0.82718 - 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 - 0xbfe2101b81e0da78, 0x3fea6a230637623b, // -0.56447, 0.82546 - 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 - 0xbfe224d4e5d5482e, 0x3fea5beb1e188375, // -0.567, 0.82372 - 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 - 0xbfe23983189fdfd5, 0x3fea4da2f385e997, // -0.56952, 0.82198 - 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 - 0xbfe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // -0.57204, 0.82023 - 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 - 0xbfe262bdb7b795a2, 0x3fea30e1fa4cbf81, // -0.57455, 0.81847 - 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 - 0xbfe2774a0a961612, 0x3fea22693d62ccb9, // -0.57706, 0.8167 - 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 - 0xbfe28bcaf96d94ba, 0x3fea13e0617e4ec7, // -0.57956, 0.81493 - 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 - 0xbfe2a040779843fb, 0x3fea05476f967bb5, // -0.58206, 0.81314 - 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 - 0xbfe2b4aa787764c4, 0x3fe9f69e70ac75bc, // -0.58455, 0.81135 - 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 - 0xbfe2c908ef734e57, 0x3fe9e7e56dcb45bd, // -0.58704, 0.80956 - 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 - 0xbfe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // -0.58952, 0.80775 - 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 - 0xbfe2f1a30d86773a, 0x3fe9ca438080eadb, // -0.592, 0.80594 - 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 - 0xbfe305de9b921a94, 0x3fe9bb5aa85f2098, // -0.59447, 0.80412 - 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 - 0xbfe31a0e6da35e44, 0x3fe9ac61f0d4e247, // -0.59693, 0.80229 - 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 - 0xbfe32e3277467d6b, 0x3fe99d59631e65d5, // -0.59939, 0.80046 - 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 - 0xbfe3424aac0ef7d6, 0x3fe98e410881a600, // -0.60184, 0.79861 - 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 - 0xbfe35656ff9799ae, 0x3fe97f18ea4e5c9e, // -0.60429, 0.79676 - 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 - 0xbfe36a576582831b, 0x3fe96fe111ddfce0, // -0.60673, 0.79491 - 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 - 0xbfe37e4bd1792fe2, 0x3fe960998893ad8c, // -0.60917, 0.79304 - 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 - 0xbfe39234372c7f04, 0x3fe9514257dc4335, // -0.6116, 0.79117 - 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 - 0xbfe3a6108a54ba58, 0x3fe941db892e3a65, // -0.61402, 0.78929 - 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 - 0xbfe3b9e0beb19e18, 0x3fe932652609b1cf, // -0.61644, 0.7874 - 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 - 0xbfe3cda4c80a6076, 0x3fe922df37f8646a, // -0.61885, 0.78551 - 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 - 0xbfe3e15c9a2db922, 0x3fe91349c88da398, // -0.62126, 0.7836 - 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 - 0xbfe3f50828f1e8d2, 0x3fe903a4e1665133, // -0.62366, 0.78169 - 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 - 0xbfe408a76834c0c0, 0x3fe8f3f08c28d9ac, // -0.62606, 0.77978 - 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 - 0xbfe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // -0.62845, 0.77785 - 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 - 0xbfe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // -0.63083, 0.77592 - 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 - 0xbfe4433ad0117b1d, 0x3fe8c47758fa71cb, // -0.63321, 0.77398 - 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 - 0xbfe456a858917046, 0x3fe8b485aca2a468, // -0.63558, 0.77204 - 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 - 0xbfe46a095557a0f1, 0x3fe8a484c3031d50, // -0.63794, 0.77008 - 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 - 0xbfe47d5dba6fde01, 0x3fe89474a5fb0a84, // -0.6403, 0.76812 - 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 - 0xbfe490a57bedbcdf, 0x3fe884555f72fa6b, // -0.64266, 0.76615 - 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 - 0xbfe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // -0.645, 0.76418 - 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 - 0xbfe4b70ee48fb869, 0x3fe863e97db3d95a, // -0.64735, 0.7622 - 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 - 0xbfe4ca30740218a3, 0x3fe8539cf67c9029, // -0.64968, 0.76021 - 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 - 0xbfe4dd453076b064, 0x3fe843416dc4cce2, // -0.65201, 0.75821 - 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 - 0xbfe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // -0.65433, 0.75621 - 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 - 0xbfe503480159ded2, 0x3fe8225d803964e5, // -0.65665, 0.75419 - 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 - 0xbfe51635fe5601d7, 0x3fe811d52faf94dc, // -0.65896, 0.75218 - 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 - 0xbfe52916f96f8388, 0x3fe8013e0638e795, // -0.66127, 0.75015 - 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 - 0xbfe53beae7012abe, 0x3fe7f0980e113978, // -0.66356, 0.74812 - 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 - 0xbfe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // -0.66586, 0.74608 - 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 - 0xbfe5616b6b204e6e, 0x3fe7cf1fdacbf179, // -0.66814, 0.74403 - 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 - 0xbfe57417ea8bb75c, 0x3fe7be4db453a27c, // -0.67042, 0.74198 - 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 - 0xbfe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // -0.67269, 0.73992 - 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 - 0xbfe599492a81ffbc, 0x3fe79c7d8198e56e, // -0.67496, 0.73785 - 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 - 0xbfe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // -0.67722, 0.73578 - 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 - 0xbfe5be451f8bf980, 0x3fe77a730cbb9100, // -0.67948, 0.7337 - 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 - 0xbfe5d0af016ed1d4, 0x3fe7695813b9b594, // -0.68172, 0.73161 - 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 - 0xbfe5e30b6e6877f3, 0x3fe7582ea9b9a329, // -0.68397, 0.72951 - 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 - 0xbfe5f55a5b2576f8, 0x3fe746f6d9516d59, // -0.6862, 0.72741 - 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 - 0xbfe6079bbc5aadfa, 0x3fe735b0ad2009b2, // -0.68843, 0.7253 - 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 - 0xbfe619cf86c55702, 0x3fe7245c2fcd492a, // -0.69065, 0.72319 - 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 - 0xbfe62bf5af2b0dfd, 0x3fe712f96c09d18d, // -0.69287, 0.72107 - 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 - 0xbfe63e0e2a59d7aa, 0x3fe701886c8f16e6, // -0.69508, 0.71894 - 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 - 0xbfe65018ed28287f, 0x3fe6f0093c1f54de, // -0.69728, 0.7168 - 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 - 0xbfe66215ec74eb91, 0x3fe6de7be585881d, // -0.69947, 0.71466 - 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 - 0xbfe674051d27896c, 0x3fe6cce07395679f, // -0.70166, 0.71251 - 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 - 0xbfe685e6742feeef, 0x3fe6bb36f12b5e06, // -0.70385, 0.71035 - 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 - 0xbfe697b9e686941c, 0x3fe6a97f692c82ea, // -0.70602, 0.70819 - 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 - 0xbfe6a97f692c82ea, 0x3fe697b9e686941c, // -0.70819, 0.70602 - 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 - 0xbfe6bb36f12b5e06, 0x3fe685e6742feeef, // -0.71035, 0.70385 - 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 - 0xbfe6cce07395679f, 0x3fe674051d27896c, // -0.71251, 0.70166 - 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 - 0xbfe6de7be585881d, 0x3fe66215ec74eb91, // -0.71466, 0.69947 - 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 - 0xbfe6f0093c1f54de, 0x3fe65018ed28287f, // -0.7168, 0.69728 - 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 - 0xbfe701886c8f16e6, 0x3fe63e0e2a59d7aa, // -0.71894, 0.69508 - 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 - 0xbfe712f96c09d18d, 0x3fe62bf5af2b0dfd, // -0.72107, 0.69287 - 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 - 0xbfe7245c2fcd492a, 0x3fe619cf86c55702, // -0.72319, 0.69065 - 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 - 0xbfe735b0ad2009b2, 0x3fe6079bbc5aadfa, // -0.7253, 0.68843 - 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 - 0xbfe746f6d9516d59, 0x3fe5f55a5b2576f8, // -0.72741, 0.6862 - 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 - 0xbfe7582ea9b9a329, 0x3fe5e30b6e6877f3, // -0.72951, 0.68397 - 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 - 0xbfe7695813b9b594, 0x3fe5d0af016ed1d4, // -0.73161, 0.68172 - 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 - 0xbfe77a730cbb9100, 0x3fe5be451f8bf980, // -0.7337, 0.67948 - 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 - 0xbfe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // -0.73578, 0.67722 - 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 - 0xbfe79c7d8198e56e, 0x3fe599492a81ffbc, // -0.73785, 0.67496 - 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 - 0xbfe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // -0.73992, 0.67269 - 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 - 0xbfe7be4db453a27c, 0x3fe57417ea8bb75c, // -0.74198, 0.67042 - 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 - 0xbfe7cf1fdacbf179, 0x3fe5616b6b204e6e, // -0.74403, 0.66814 - 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 - 0xbfe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // -0.74608, 0.66586 - 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 - 0xbfe7f0980e113978, 0x3fe53beae7012abe, // -0.74812, 0.66356 - 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 - 0xbfe8013e0638e795, 0x3fe52916f96f8388, // -0.75015, 0.66127 - 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 - 0xbfe811d52faf94dc, 0x3fe51635fe5601d7, // -0.75218, 0.65896 - 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 - 0xbfe8225d803964e5, 0x3fe503480159ded2, // -0.75419, 0.65665 - 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 - 0xbfe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // -0.75621, 0.65433 - 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 - 0xbfe843416dc4cce2, 0x3fe4dd453076b064, // -0.75821, 0.65201 - 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 - 0xbfe8539cf67c9029, 0x3fe4ca30740218a3, // -0.76021, 0.64968 - 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 - 0xbfe863e97db3d95a, 0x3fe4b70ee48fb869, // -0.7622, 0.64735 - 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 - 0xbfe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // -0.76418, 0.645 - 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 - 0xbfe884555f72fa6b, 0x3fe490a57bedbcdf, // -0.76615, 0.64266 - 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 - 0xbfe89474a5fb0a84, 0x3fe47d5dba6fde01, // -0.76812, 0.6403 - 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 - 0xbfe8a484c3031d50, 0x3fe46a095557a0f1, // -0.77008, 0.63794 - 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 - 0xbfe8b485aca2a468, 0x3fe456a858917046, // -0.77204, 0.63558 - 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 - 0xbfe8c47758fa71cb, 0x3fe4433ad0117b1d, // -0.77398, 0.63321 - 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 - 0xbfe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // -0.77592, 0.63083 - 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 - 0xbfe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // -0.77785, 0.62845 - 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 - 0xbfe8f3f08c28d9ac, 0x3fe408a76834c0c0, // -0.77978, 0.62606 - 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 - 0xbfe903a4e1665133, 0x3fe3f50828f1e8d2, // -0.78169, 0.62366 - 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 - 0xbfe91349c88da398, 0x3fe3e15c9a2db922, // -0.7836, 0.62126 - 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 - 0xbfe922df37f8646a, 0x3fe3cda4c80a6076, // -0.78551, 0.61885 - 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 - 0xbfe932652609b1cf, 0x3fe3b9e0beb19e18, // -0.7874, 0.61644 - 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 - 0xbfe941db892e3a65, 0x3fe3a6108a54ba58, // -0.78929, 0.61402 - 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 - 0xbfe9514257dc4335, 0x3fe39234372c7f04, // -0.79117, 0.6116 - 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 - 0xbfe960998893ad8c, 0x3fe37e4bd1792fe2, // -0.79304, 0.60917 - 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 - 0xbfe96fe111ddfce0, 0x3fe36a576582831b, // -0.79491, 0.60673 - 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 - 0xbfe97f18ea4e5c9e, 0x3fe35656ff9799ae, // -0.79676, 0.60429 - 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 - 0xbfe98e410881a600, 0x3fe3424aac0ef7d6, // -0.79861, 0.60184 - 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 - 0xbfe99d59631e65d5, 0x3fe32e3277467d6b, // -0.80046, 0.59939 - 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 - 0xbfe9ac61f0d4e247, 0x3fe31a0e6da35e44, // -0.80229, 0.59693 - 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 - 0xbfe9bb5aa85f2098, 0x3fe305de9b921a94, // -0.80412, 0.59447 - 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 - 0xbfe9ca438080eadb, 0x3fe2f1a30d86773a, // -0.80594, 0.592 - 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 - 0xbfe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // -0.80775, 0.58952 - 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 - 0xbfe9e7e56dcb45bd, 0x3fe2c908ef734e57, // -0.80956, 0.58704 - 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 - 0xbfe9f69e70ac75bc, 0x3fe2b4aa787764c4, // -0.81135, 0.58455 - 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 - 0xbfea05476f967bb5, 0x3fe2a040779843fb, // -0.81314, 0.58206 - 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 - 0xbfea13e0617e4ec7, 0x3fe28bcaf96d94ba, // -0.81493, 0.57956 - 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 - 0xbfea22693d62ccb9, 0x3fe2774a0a961612, // -0.8167, 0.57706 - 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 - 0xbfea30e1fa4cbf81, 0x3fe262bdb7b795a2, // -0.81847, 0.57455 - 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 - 0xbfea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // -0.82023, 0.57204 - 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 - 0xbfea4da2f385e997, 0x3fe23983189fdfd5, // -0.82198, 0.56952 - 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 - 0xbfea5beb1e188375, 0x3fe224d4e5d5482e, // -0.82372, 0.567 - 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 - 0xbfea6a230637623b, 0x3fe2101b81e0da78, // -0.82546, 0.56447 - 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 - 0xbfea784aa31d3f55, 0x3fe1fb56f98b37b8, // -0.82718, 0.56193 - 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 - 0xbfea8661ec0ee133, 0x3fe1e68759a3e074, // -0.8289, 0.55939 - 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 - 0xbfea9468d85b20ae, 0x3fe1d1acaf012cc2, // -0.83062, 0.55685 - 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 - 0xbfeaa25f5f5aee60, 0x3fe1bcc706804467, // -0.83232, 0.55429 - 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 - 0xbfeab045787157ff, 0x3fe1a7d66d0516e6, // -0.83402, 0.55174 - 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 - 0xbfeabe1b1b0b8dac, 0x3fe192daef7a5386, // -0.83571, 0.54918 - 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 - 0xbfeacbe03ea0e73b, 0x3fe17dd49ad16161, // -0.83739, 0.54661 - 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 - 0xbfead994dab2e979, 0x3fe168c37c025764, // -0.83906, 0.54404 - 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 - 0xbfeae738e6cd4b67, 0x3fe153a7a00bf453, // -0.84073, 0.54146 - 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 - 0xbfeaf4cc5a85fb73, 0x3fe13e8113f396c1, // -0.84238, 0.53888 - 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 - 0xbfeb024f2d7d24a9, 0x3fe1294fe4c5350a, // -0.84403, 0.53629 - 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 - 0xbfeb0fc1575d33db, 0x3fe114141f935545, // -0.84567, 0.5337 - 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 - 0xbfeb1d22cfdadcc6, 0x3fe0fecdd1770537, // -0.84731, 0.5311 - 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 - 0xbfeb2a738eb51f33, 0x3fe0e97d078fd23b, // -0.84893, 0.5285 - 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 - 0xbfeb37b38bb54c09, 0x3fe0d421cf03c12b, // -0.85055, 0.5259 - 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 - 0xbfeb44e2beaf0a61, 0x3fe0bebc34ff4646, // -0.85216, 0.52328 - 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 - 0xbfeb52011f805c92, 0x3fe0a94c46b53d0b, // -0.85376, 0.52067 - 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 - 0xbfeb5f0ea611a532, 0x3fe093d2115ee018, // -0.85535, 0.51804 - 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 - 0xbfeb6c0b4a55ac17, 0x3fe07e4da23bc102, // -0.85694, 0.51542 - 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 - 0xbfeb78f70449a34b, 0x3fe068bf0691c028, // -0.85852, 0.51279 - 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 - 0xbfeb85d1cbf52c02, 0x3fe053264bad0483, // -0.86009, 0.51015 - 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 - 0xbfeb929b996a5b7f, 0x3fe03d837edff370, // -0.86165, 0.50751 - 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 - 0xbfeb9f5464c5bffc, 0x3fe027d6ad83287e, // -0.8632, 0.50486 - 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 - 0xbfebabfc262e6586, 0x3fe0121fe4f56d2c, // -0.86474, 0.50221 - 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 - 0xbfebb892d5d5dad5, 0x3fdff8be6537615e, // -0.86628, 0.49956 - 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 - 0xbfebc5186bf8361d, 0x3fdfcd2947c1ff57, // -0.86781, 0.4969 - 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 - 0xbfebd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // -0.86933, 0.49423 - 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 - 0xbfebddf02cd2b983, 0x3fdf75c44e26a852, // -0.87084, 0.49156 - 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 - 0xbfebea424837de6d, 0x3fdf49f4a7e97729, // -0.87235, 0.48889 - 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 - 0xbfebf6832b71ec5b, 0x3fdf1e11b4bbc35c, // -0.87384, 0.48621 - 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 - 0xbfec02b2cef1e641, 0x3fdef21b8fafd3b5, // -0.87533, 0.48353 - 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 - 0xbfec0ed12b3372e9, 0x3fdec61253e3c61b, // -0.87681, 0.48084 - 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 - 0xbfec1ade38bce19b, 0x3fde99f61c817eda, // -0.87828, 0.47815 - 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 - 0xbfec26d9f01f2eaf, 0x3fde6dc704be97e2, // -0.87974, 0.47545 - 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 - 0xbfec32c449f60831, 0x3fde418527dc4ffa, // -0.8812, 0.47275 - 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 - 0xbfec3e9d3ee7d262, 0x3fde1530a12779f4, // -0.88264, 0.47004 - 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 - 0xbfec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // -0.88408, 0.46733 - 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 - 0xbfec561adceb743e, 0x3fddbc5003b2edf8, // -0.88551, 0.46462 - 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 - 0xbfec61bf777fcc48, 0x3fdd8fc423c62a25, // -0.88693, 0.4619 - 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 - 0xbfec6d5290341eb2, 0x3fdd632607ac9aa9, // -0.88835, 0.45918 - 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 - 0xbfec78d41fe4a267, 0x3fdd3675caebf962, // -0.88975, 0.45645 - 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 - 0xbfec84441f785f61, 0x3fdd09b389152ec1, // -0.89115, 0.45372 - 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 - 0xbfec8fa287e13305, 0x3fdcdcdf5dc440ce, // -0.89253, 0.45098 - 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 - 0xbfec9aef521bd480, 0x3fdcaff964a0421d, // -0.89391, 0.44824 - 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 - 0xbfeca62a772fd919, 0x3fdc8301b95b40c2, // -0.89528, 0.4455 - 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 - 0xbfecb153f02fb87d, 0x3fdc55f877b23537, // -0.89665, 0.44275 - 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 - 0xbfecbc6bb638d10b, 0x3fdc28ddbb6cf145, // -0.898, 0.43999 - 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 - 0xbfecc771c2736c09, 0x3fdbfbb1a05e0edc, // -0.89935, 0.43724 - 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 - 0xbfecd2660e12c1e6, 0x3fdbce744262deee, // -0.90068, 0.43448 - 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 - 0xbfecdd489254fe65, 0x3fdba125bd63583e, // -0.90201, 0.43171 - 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 - 0xbfece819488344ce, 0x3fdb73c62d520624, // -0.90333, 0.42894 - 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 - 0xbfecf2d829f1b40e, 0x3fdb4655ae2bf757, // -0.90464, 0.42617 - 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 - 0xbfecfd852fff6ad4, 0x3fdb18d45bf8aca6, // -0.90595, 0.42339 - 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 - 0xbfed082054168bac, 0x3fdaeb4252ca07ab, // -0.90724, 0.42061 - 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 - 0xbfed12a98fac410c, 0x3fdabd9faebc3980, // -0.90853, 0.41782 - 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 - 0xbfed1d20dc40c15c, 0x3fda8fec8bf5b166, // -0.90981, 0.41503 - 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 - 0xbfed2786335f52fc, 0x3fda622906a70b63, // -0.91107, 0.41224 - 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 - 0xbfed31d98e9e503a, 0x3fda34553b0afee5, // -0.91234, 0.40944 - 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 - 0xbfed3c1ae79f2b4e, 0x3fda067145664d57, // -0.91359, 0.40664 - 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 - 0xbfed464a380e7242, 0x3fd9d87d4207b0ab, // -0.91483, 0.40384 - 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 - 0xbfed506779a3d2d9, 0x3fd9aa794d47c9ee, // -0.91606, 0.40103 - 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 - 0xbfed5a72a6221e73, 0x3fd97c6583890fc2, // -0.91729, 0.39822 - 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 - 0xbfed646bb7574de5, 0x3fd94e420137bce3, // -0.91851, 0.3954 - 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 - 0xbfed6e52a71c8547, 0x3fd9200ee2c9be97, // -0.91972, 0.39258 - 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 - 0xbfed78276f5617c6, 0x3fd8f1cc44bea329, // -0.92092, 0.38976 - 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 - 0xbfed81ea09f38b63, 0x3fd8c37a439f884f, // -0.92211, 0.38693 - 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 - 0xbfed8b9a70ef9cb4, 0x3fd89518fbff098e, // -0.92329, 0.3841 - 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 - 0xbfed95389e50429b, 0x3fd866a88a792ea0, // -0.92447, 0.38127 - 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 - 0xbfed9ec48c26b1f3, 0x3fd838290bb359c8, // -0.92563, 0.37843 - 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 - 0xbfeda83e348f613b, 0x3fd8099a9c5c362d, // -0.92679, 0.37559 - 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 - 0xbfedb1a591b20c38, 0x3fd7dafd592ba621, // -0.92794, 0.37274 - 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 - 0xbfedbafa9dc1b78d, 0x3fd7ac515ee2b172, // -0.92907, 0.36989 - 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 - 0xbfedc43d52fcb453, 0x3fd77d96ca4b73a6, // -0.93021, 0.36704 - 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 - 0xbfedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // -0.93133, 0.36418 - 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 - 0xbfedd68ba2267a25, 0x3fd71ff6458782ec, // -0.93244, 0.36133 - 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 - 0xbfeddf9730ca837b, 0x3fd6f1108f1bc9c5, // -0.93354, 0.35846 - 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 - 0xbfede890520465ce, 0x3fd6c21cb1e39771, // -0.93464, 0.3556 - 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 - 0xbfedf177004b2534, 0x3fd6931acad55f51, // -0.93573, 0.35273 - 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 - 0xbfedfa4b3621271d, 0x3fd6640af6f03d9e, // -0.9368, 0.34986 - 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 - 0xbfee030cee1435b8, 0x3fd634ed533be58e, // -0.93787, 0.34698 - 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 - 0xbfee0bbc22bd8349, 0x3fd605c1fcc88f63, // -0.93893, 0.3441 - 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 - 0xbfee1458cec1ad83, 0x3fd5d68910aee686, // -0.93998, 0.34122 - 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 - 0xbfee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // -0.94103, 0.33833 - 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 - 0xbfee255a77a63bb8, 0x3fd577eeec151e47, // -0.94206, 0.33545 - 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 - 0xbfee2dbf6a0911d9, 0x3fd5488dedeff3be, // -0.94308, 0.33255 - 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 - 0xbfee3611becbaf69, 0x3fd5191fceda3c35, // -0.9441, 0.32966 - 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 - 0xbfee3e5170cbfc46, 0x3fd4e9a4ac15d520, // -0.94511, 0.32676 - 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 - 0xbfee467e7af35f23, 0x3fd4ba1ca2eca31c, // -0.94611, 0.32386 - 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 - 0xbfee4e98d836c0af, 0x3fd48a87d0b07fd7, // -0.94709, 0.32096 - 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 - 0xbfee56a083968eb1, 0x3fd45ae652bb2800, // -0.94807, 0.31805 - 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 - 0xbfee5e95781ebf1c, 0x3fd42b38466e2928, // -0.94905, 0.31514 - 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 - 0xbfee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // -0.95001, 0.31222 - 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 - 0xbfee6e472911da27, 0x3fd3cbb6f87a146e, // -0.95096, 0.30931 - 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 - 0xbfee7603dbce74e9, 0x3fd39be3f1bc8aef, // -0.95191, 0.30639 - 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 - 0xbfee7dadc456d850, 0x3fd36c04d27a4edf, // -0.95284, 0.30347 - 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 - 0xbfee8544ddf0d075, 0x3fd33c19b83af207, // -0.95377, 0.30054 - 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 - 0xbfee8cc923edc388, 0x3fd30c22c08d6a13, // -0.95469, 0.29762 - 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 - 0xbfee943a91aab4b4, 0x3fd2dc200907fe51, // -0.95559, 0.29469 - 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 - 0xbfee9b99229046f8, 0x3fd2ac11af483572, // -0.95649, 0.29175 - 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 - 0xbfeea2e4d212c000, 0x3fd27bf7d0f2c346, // -0.95738, 0.28882 - 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 - 0xbfeeaa1d9bb20af3, 0x3fd24bd28bb37672, // -0.95827, 0.28588 - 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 - 0xbfeeb1437af9bb34, 0x3fd21ba1fd3d2623, // -0.95914, 0.28294 - 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 - 0xbfeeb8566b810f2a, 0x3fd1eb6643499fbb, // -0.96, 0.27999 - 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 - 0xbfeebf5668eaf2ef, 0x3fd1bb1f7b999480, // -0.96086, 0.27705 - 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 - 0xbfeec6436ee60309, 0x3fd18acdc3f4873a, // -0.9617, 0.2741 - 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 - 0xbfeecd1d792c8f10, 0x3fd15a713a28b9d9, // -0.96254, 0.27115 - 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 - 0xbfeed3e483849c51, 0x3fd12a09fc0b1b12, // -0.96337, 0.26819 - 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 - 0xbfeeda9889bfe86a, 0x3fd0f998277733f7, // -0.96418, 0.26523 - 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 - 0xbfeee13987bbebdc, 0x3fd0c91bda4f158d, // -0.96499, 0.26227 - 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 - 0xbfeee7c77961dc9e, 0x3fd09895327b465e, // -0.96579, 0.25931 - 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 - 0xbfeeee425aa6b09a, 0x3fd068044deab002, // -0.96658, 0.25635 - 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 - 0xbfeef4aa278b2032, 0x3fd037694a928cac, // -0.96737, 0.25338 - 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 - 0xbfeefafedc1ba8b7, 0x3fd006c4466e54af, // -0.96814, 0.25041 - 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 - 0xbfef014074708ed3, 0x3fcfac2abeff57ff, // -0.9689, 0.24744 - 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 - 0xbfef076eecade0fa, 0x3fcf4ab9679c9f5c, // -0.96966, 0.24447 - 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 - 0xbfef0d8a410379c5, 0x3fcee934c2d006c7, // -0.9704, 0.24149 - 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 - 0xbfef13926dad024e, 0x3fce879d0cc0fdaf, // -0.97114, 0.23851 - 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 - 0xbfef19876ef1f486, 0x3fce25f281a2b684, // -0.97187, 0.23553 - 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 - 0xbfef1f6941259d7a, 0x3fcdc4355db40195, // -0.97258, 0.23255 - 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 - 0xbfef2537e0a71f9f, 0x3fcd6265dd3f27e3, // -0.97329, 0.22957 - 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 - 0xbfef2af349e17507, 0x3fcd00843c99c5f9, // -0.97399, 0.22658 - 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 - 0xbfef309b794b719f, 0x3fcc9e90b824a6a9, // -0.97468, 0.22359 - 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 - 0xbfef36306b67c556, 0x3fcc3c8b8c4b9dd7, // -0.97536, 0.2206 - 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 - 0xbfef3bb21cc4fe47, 0x3fcbda74f5856330, // -0.97604, 0.2176 - 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 - 0xbfef412089fd8adc, 0x3fcb784d30536cda, // -0.9767, 0.21461 - 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 - 0xbfef467bafb7bbe0, 0x3fcb16147941ca2a, // -0.97735, 0.21161 - 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 - 0xbfef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // -0.978, 0.20861 - 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 - 0xbfef50f81785c6b9, 0x3fca517127e3dabc, // -0.97863, 0.20561 - 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 - 0xbfef56195321c090, 0x3fc9ef0706e35a35, // -0.97926, 0.20261 - 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 - 0xbfef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // -0.97988, 0.1996 - 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 - 0xbfef6021c9f148c2, 0x3fc92a0303c8194f, // -0.98048, 0.19659 - 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 - 0xbfef6508fef47bd5, 0x3fc8c7699b34ca7e, // -0.98108, 0.19359 - 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 - 0xbfef69dcd652f5de, 0x3fc864c0e9b2b6cf, // -0.98167, 0.19057 - 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 - 0xbfef6e9d4d1262ca, 0x3fc802092c1d744b, // -0.98225, 0.18756 - 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 - 0xbfef734a60446279, 0x3fc79f429f59e11d, // -0.98282, 0.18455 - 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 - 0xbfef77e40d068a90, 0x3fc73c6d8055fe0a, // -0.98339, 0.18153 - 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 - 0xbfef7c6a50826840, 0x3fc6d98a0c08c8da, // -0.98394, 0.17851 - 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 - 0xbfef80dd27ed8204, 0x3fc676987f7216b8, // -0.98448, 0.17549 - 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 - 0xbfef853c9089595e, 0x3fc61399179a6e94, // -0.98501, 0.17247 - 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 - 0xbfef898887a36c84, 0x3fc5b08c1192e381, // -0.98554, 0.16945 - 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 - 0xbfef8dc10a95380d, 0x3fc54d71aa74ef02, // -0.98605, 0.16643 - 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 - 0xbfef91e616c43891, 0x3fc4ea4a1f624b61, // -0.98656, 0.1634 - 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 - 0xbfef95f7a9a1ec47, 0x3fc48715ad84cdf5, // -0.98706, 0.16037 - 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 - 0xbfef99f5c0abd496, 0x3fc423d4920e4166, // -0.98754, 0.15734 - 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 - 0xbfef9de0596b77a3, 0x3fc3c0870a383ff6, // -0.98802, 0.15431 - 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 - 0xbfefa1b7717661d5, 0x3fc35d2d53440db2, // -0.98849, 0.15128 - 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 - 0xbfefa57b066e2754, 0x3fc2f9c7aa7a72af, // -0.98895, 0.14825 - 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 - 0xbfefa92b1600657c, 0x3fc296564d2b953e, // -0.9894, 0.14521 - 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 - 0xbfefacc79de6c44f, 0x3fc232d978aed413, // -0.98984, 0.14218 - 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 - 0xbfefb0509be6f7db, 0x3fc1cf516a62a077, // -0.99027, 0.13914 - 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 - 0xbfefb3c60dd2c199, 0x3fc16bbe5fac5865, // -0.9907, 0.1361 - 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 - 0xbfefb727f187f1c7, 0x3fc1082095f820b0, // -0.99111, 0.13306 - 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 - 0xbfefba7644f068b5, 0x3fc0a4784ab8bf1d, // -0.99151, 0.13002 - 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 - 0xbfefbdb106021816, 0x3fc040c5bb67747e, // -0.99191, 0.12698 - 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 - 0xbfefc0d832bf043a, 0x3fbfba124b07ad85, // -0.99229, 0.12393 - 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 - 0xbfefc3ebc935454c, 0x3fbef2858d27561b, // -0.99267, 0.12089 - 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 - 0xbfefc6ebc77f0887, 0x3fbe2ae5b8457f77, // -0.99303, 0.11784 - 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 - 0xbfefc9d82bc2915e, 0x3fbd633347858ce4, // -0.99339, 0.11479 - 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 - 0xbfefccb0f4323aa3, 0x3fbc9b6eb6165c42, // -0.99374, 0.11175 - 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 - 0xbfefcf761f0c77a3, 0x3fbbd3987f31fa0e, // -0.99407, 0.1087 - 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 - 0xbfefd227aa9bd53b, 0x3fbb0bb11e1d5559, // -0.9944, 0.10565 - 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 - 0xbfefd4c59536fae4, 0x3fba43b90e27f3c4, // -0.99472, 0.1026 - 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 - 0xbfefd74fdd40abbf, 0x3fb97bb0caaba56f, // -0.99503, 0.099544 - 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 - 0xbfefd9c68127c78c, 0x3fb8b398cf0c38e0, // -0.99533, 0.09649 - 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 - 0xbfefdc297f674ba9, 0x3fb7eb7196b72ee4, // -0.99563, 0.093436 - 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 - 0xbfefde78d68653fd, 0x3fb7233b9d236e71, // -0.99591, 0.090381 - 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 - 0xbfefe0b485181be3, 0x3fb65af75dd0f87b, // -0.99618, 0.087326 - 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 - 0xbfefe2dc89bbff08, 0x3fb592a554489bc8, // -0.99644, 0.084269 - 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 - 0xbfefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // -0.9967, 0.081211 - 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 - 0xbfefe6f18ff42c84, 0x3fb401d9d0e3a507, // -0.99694, 0.078153 - 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 - 0xbfefe8de8f03d75c, 0x3fb339614e41ffa5, // -0.99718, 0.075094 - 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 - 0xbfefeab7df1c6005, 0x3fb270dcefdfc45b, // -0.9974, 0.072035 - 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 - 0xbfefec7d7f19cffc, 0x3fb1a84d316d4f8a, // -0.99762, 0.068974 - 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 - 0xbfefee2f6de455ba, 0x3fb0dfb28ea201e6, // -0.99783, 0.065913 - 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 - 0xbfefefcdaa704562, 0x3fb0170d833bf421, // -0.99802, 0.062852 - 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 - 0xbfeff15833be1965, 0x3fae9cbd15ff5527, // -0.99821, 0.05979 - 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 - 0xbfeff2cf08da7321, 0x3fad0b4c436f91d0, // -0.99839, 0.056727 - 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 - 0xbfeff43228de1b77, 0x3fab79c986698b78, // -0.99856, 0.053664 - 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 - 0xbfeff58192ee0358, 0x3fa9e835d6993c87, // -0.99872, 0.0506 - 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 - 0xbfeff6bd463b444d, 0x3fa856922bb513c1, // -0.99887, 0.047535 - 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 - 0xbfeff7e5420320f9, 0x3fa6c4df7d7d5b84, // -0.99901, 0.044471 - 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 - 0xbfeff8f9858f058b, 0x3fa5331ec3bba0eb, // -0.99914, 0.041406 - 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 - 0xbfeff9fa10348837, 0x3fa3a150f6421afc, // -0.99926, 0.03834 - 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 - 0xbfeffae6e1556998, 0x3fa20f770ceb11c6, // -0.99938, 0.035274 - 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 - 0xbfeffbbff85f9515, 0x3fa07d91ff984580, // -0.99948, 0.032208 - 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 - 0xbfeffc8554cd213a, 0x3f9dd7458c64ab39, // -0.99958, 0.029142 - 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 - 0xbfeffd36f624500c, 0x3f9ab354b1504fca, // -0.99966, 0.026075 - 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 - 0xbfeffdd4dbf78f52, 0x3f978f535ddc9f03, // -0.99974, 0.023008 - 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 - 0xbfeffe5f05e578db, 0x3f946b4381fce81c, // -0.9998, 0.01994 - 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 - 0xbfeffed57398d2b7, 0x3f9147270dad7132, // -0.99986, 0.016873 - 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 - 0xbfefff3824c88f6f, 0x3f8c45ffe1e48ad9, // -0.9999, 0.013805 - 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 - 0xbfefff871937ce2f, 0x3f85fda037ac05e0, // -0.99994, 0.010738 - 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 - 0xbfefffc250b5daef, 0x3f7f6a65f9a2a3c5, // -0.99997, 0.0076698 - 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 - 0xbfefffe9cb1e2e8d, 0x3f72d97822f996bc, // -0.99999, 0.0046019 - 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 - 0xbfeffffd88586ee6, 0x3f5921faaee6472d, // -1, 0.001534 - 0xbff0000000000000, 0x0000000000000000, // -1, 0 - 0xbfeffffd88586ee6, 0xbf5921faaee6472d, // -1, -0.001534 - 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 - 0xbfefffe9cb1e2e8d, 0xbf72d97822f996bc, // -0.99999,-0.0046019 - 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 - 0xbfefffc250b5daef, 0xbf7f6a65f9a2a3c5, // -0.99997,-0.0076698 - 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 - 0xbfefff871937ce2f, 0xbf85fda037ac05e0, // -0.99994, -0.010738 - 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 - 0xbfefff3824c88f6f, 0xbf8c45ffe1e48ad9, // -0.9999, -0.013805 - 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 - 0xbfeffed57398d2b7, 0xbf9147270dad7132, // -0.99986, -0.016873 - 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 - 0xbfeffe5f05e578db, 0xbf946b4381fce81c, // -0.9998, -0.01994 - 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 - 0xbfeffdd4dbf78f52, 0xbf978f535ddc9f03, // -0.99974, -0.023008 - 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 - 0xbfeffd36f624500c, 0xbf9ab354b1504fca, // -0.99966, -0.026075 - 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 - 0xbfeffc8554cd213a, 0xbf9dd7458c64ab39, // -0.99958, -0.029142 - 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 - 0xbfeffbbff85f9515, 0xbfa07d91ff984580, // -0.99948, -0.032208 - 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 - 0xbfeffae6e1556998, 0xbfa20f770ceb11c6, // -0.99938, -0.035274 - 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 - 0xbfeff9fa10348837, 0xbfa3a150f6421afc, // -0.99926, -0.03834 - 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 - 0xbfeff8f9858f058b, 0xbfa5331ec3bba0eb, // -0.99914, -0.041406 - 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 - 0xbfeff7e5420320f9, 0xbfa6c4df7d7d5b84, // -0.99901, -0.044471 - 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 - 0xbfeff6bd463b444d, 0xbfa856922bb513c1, // -0.99887, -0.047535 - 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 - 0xbfeff58192ee0358, 0xbfa9e835d6993c87, // -0.99872, -0.0506 - 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 - 0xbfeff43228de1b77, 0xbfab79c986698b78, // -0.99856, -0.053664 - 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 - 0xbfeff2cf08da7321, 0xbfad0b4c436f91d0, // -0.99839, -0.056727 - 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 - 0xbfeff15833be1965, 0xbfae9cbd15ff5527, // -0.99821, -0.05979 - 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 - 0xbfefefcdaa704562, 0xbfb0170d833bf421, // -0.99802, -0.062852 - 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 - 0xbfefee2f6de455ba, 0xbfb0dfb28ea201e6, // -0.99783, -0.065913 - 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 - 0xbfefec7d7f19cffc, 0xbfb1a84d316d4f8a, // -0.99762, -0.068974 - 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 - 0xbfefeab7df1c6005, 0xbfb270dcefdfc45b, // -0.9974, -0.072035 - 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 - 0xbfefe8de8f03d75c, 0xbfb339614e41ffa5, // -0.99718, -0.075094 - 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 - 0xbfefe6f18ff42c84, 0xbfb401d9d0e3a507, // -0.99694, -0.078153 - 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 - 0xbfefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // -0.9967, -0.081211 - 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 - 0xbfefe2dc89bbff08, 0xbfb592a554489bc8, // -0.99644, -0.084269 - 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 - 0xbfefe0b485181be3, 0xbfb65af75dd0f87b, // -0.99618, -0.087326 - 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 - 0xbfefde78d68653fd, 0xbfb7233b9d236e71, // -0.99591, -0.090381 - 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 - 0xbfefdc297f674ba9, 0xbfb7eb7196b72ee4, // -0.99563, -0.093436 - 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 - 0xbfefd9c68127c78c, 0xbfb8b398cf0c38e0, // -0.99533, -0.09649 - 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 - 0xbfefd74fdd40abbf, 0xbfb97bb0caaba56f, // -0.99503, -0.099544 - 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 - 0xbfefd4c59536fae4, 0xbfba43b90e27f3c4, // -0.99472, -0.1026 - 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 - 0xbfefd227aa9bd53b, 0xbfbb0bb11e1d5559, // -0.9944, -0.10565 - 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 - 0xbfefcf761f0c77a3, 0xbfbbd3987f31fa0e, // -0.99407, -0.1087 - 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 - 0xbfefccb0f4323aa3, 0xbfbc9b6eb6165c42, // -0.99374, -0.11175 - 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 - 0xbfefc9d82bc2915e, 0xbfbd633347858ce4, // -0.99339, -0.11479 - 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 - 0xbfefc6ebc77f0887, 0xbfbe2ae5b8457f77, // -0.99303, -0.11784 - 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 - 0xbfefc3ebc935454c, 0xbfbef2858d27561b, // -0.99267, -0.12089 - 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 - 0xbfefc0d832bf043a, 0xbfbfba124b07ad85, // -0.99229, -0.12393 - 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 - 0xbfefbdb106021816, 0xbfc040c5bb67747e, // -0.99191, -0.12698 - 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 - 0xbfefba7644f068b5, 0xbfc0a4784ab8bf1d, // -0.99151, -0.13002 - 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 - 0xbfefb727f187f1c7, 0xbfc1082095f820b0, // -0.99111, -0.13306 - 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 - 0xbfefb3c60dd2c199, 0xbfc16bbe5fac5865, // -0.9907, -0.1361 - 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 - 0xbfefb0509be6f7db, 0xbfc1cf516a62a077, // -0.99027, -0.13914 - 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 - 0xbfefacc79de6c44f, 0xbfc232d978aed413, // -0.98984, -0.14218 - 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 - 0xbfefa92b1600657c, 0xbfc296564d2b953e, // -0.9894, -0.14521 - 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 - 0xbfefa57b066e2754, 0xbfc2f9c7aa7a72af, // -0.98895, -0.14825 - 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 - 0xbfefa1b7717661d5, 0xbfc35d2d53440db2, // -0.98849, -0.15128 - 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 - 0xbfef9de0596b77a3, 0xbfc3c0870a383ff6, // -0.98802, -0.15431 - 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 - 0xbfef99f5c0abd496, 0xbfc423d4920e4166, // -0.98754, -0.15734 - 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 - 0xbfef95f7a9a1ec47, 0xbfc48715ad84cdf5, // -0.98706, -0.16037 - 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 - 0xbfef91e616c43891, 0xbfc4ea4a1f624b61, // -0.98656, -0.1634 - 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 - 0xbfef8dc10a95380d, 0xbfc54d71aa74ef02, // -0.98605, -0.16643 - 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 - 0xbfef898887a36c84, 0xbfc5b08c1192e381, // -0.98554, -0.16945 - 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 - 0xbfef853c9089595e, 0xbfc61399179a6e94, // -0.98501, -0.17247 - 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 - 0xbfef80dd27ed8204, 0xbfc676987f7216b8, // -0.98448, -0.17549 - 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 - 0xbfef7c6a50826840, 0xbfc6d98a0c08c8da, // -0.98394, -0.17851 - 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 - 0xbfef77e40d068a90, 0xbfc73c6d8055fe0a, // -0.98339, -0.18153 - 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 - 0xbfef734a60446279, 0xbfc79f429f59e11d, // -0.98282, -0.18455 - 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 - 0xbfef6e9d4d1262ca, 0xbfc802092c1d744b, // -0.98225, -0.18756 - 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 - 0xbfef69dcd652f5de, 0xbfc864c0e9b2b6cf, // -0.98167, -0.19057 - 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 - 0xbfef6508fef47bd5, 0xbfc8c7699b34ca7e, // -0.98108, -0.19359 - 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 - 0xbfef6021c9f148c2, 0xbfc92a0303c8194f, // -0.98048, -0.19659 - 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 - 0xbfef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // -0.97988, -0.1996 - 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 - 0xbfef56195321c090, 0xbfc9ef0706e35a35, // -0.97926, -0.20261 - 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 - 0xbfef50f81785c6b9, 0xbfca517127e3dabc, // -0.97863, -0.20561 - 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 - 0xbfef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // -0.978, -0.20861 - 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 - 0xbfef467bafb7bbe0, 0xbfcb16147941ca2a, // -0.97735, -0.21161 - 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 - 0xbfef412089fd8adc, 0xbfcb784d30536cda, // -0.9767, -0.21461 - 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 - 0xbfef3bb21cc4fe47, 0xbfcbda74f5856330, // -0.97604, -0.2176 - 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 - 0xbfef36306b67c556, 0xbfcc3c8b8c4b9dd7, // -0.97536, -0.2206 - 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 - 0xbfef309b794b719f, 0xbfcc9e90b824a6a9, // -0.97468, -0.22359 - 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 - 0xbfef2af349e17507, 0xbfcd00843c99c5f9, // -0.97399, -0.22658 - 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 - 0xbfef2537e0a71f9f, 0xbfcd6265dd3f27e3, // -0.97329, -0.22957 - 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 - 0xbfef1f6941259d7a, 0xbfcdc4355db40195, // -0.97258, -0.23255 - 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 - 0xbfef19876ef1f486, 0xbfce25f281a2b684, // -0.97187, -0.23553 - 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 - 0xbfef13926dad024e, 0xbfce879d0cc0fdaf, // -0.97114, -0.23851 - 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 - 0xbfef0d8a410379c5, 0xbfcee934c2d006c7, // -0.9704, -0.24149 - 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 - 0xbfef076eecade0fa, 0xbfcf4ab9679c9f5c, // -0.96966, -0.24447 - 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 - 0xbfef014074708ed3, 0xbfcfac2abeff57ff, // -0.9689, -0.24744 - 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 - 0xbfeefafedc1ba8b7, 0xbfd006c4466e54af, // -0.96814, -0.25041 - 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 - 0xbfeef4aa278b2032, 0xbfd037694a928cac, // -0.96737, -0.25338 - 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 - 0xbfeeee425aa6b09a, 0xbfd068044deab002, // -0.96658, -0.25635 - 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 - 0xbfeee7c77961dc9e, 0xbfd09895327b465e, // -0.96579, -0.25931 - 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 - 0xbfeee13987bbebdc, 0xbfd0c91bda4f158d, // -0.96499, -0.26227 - 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 - 0xbfeeda9889bfe86a, 0xbfd0f998277733f7, // -0.96418, -0.26523 - 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 - 0xbfeed3e483849c51, 0xbfd12a09fc0b1b12, // -0.96337, -0.26819 - 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 - 0xbfeecd1d792c8f10, 0xbfd15a713a28b9d9, // -0.96254, -0.27115 - 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 - 0xbfeec6436ee60309, 0xbfd18acdc3f4873a, // -0.9617, -0.2741 - 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 - 0xbfeebf5668eaf2ef, 0xbfd1bb1f7b999480, // -0.96086, -0.27705 - 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 - 0xbfeeb8566b810f2a, 0xbfd1eb6643499fbb, // -0.96, -0.27999 - 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 - 0xbfeeb1437af9bb34, 0xbfd21ba1fd3d2623, // -0.95914, -0.28294 - 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 - 0xbfeeaa1d9bb20af3, 0xbfd24bd28bb37672, // -0.95827, -0.28588 - 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 - 0xbfeea2e4d212c000, 0xbfd27bf7d0f2c346, // -0.95738, -0.28882 - 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 - 0xbfee9b99229046f8, 0xbfd2ac11af483572, // -0.95649, -0.29175 - 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 - 0xbfee943a91aab4b4, 0xbfd2dc200907fe51, // -0.95559, -0.29469 - 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 - 0xbfee8cc923edc388, 0xbfd30c22c08d6a13, // -0.95469, -0.29762 - 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 - 0xbfee8544ddf0d075, 0xbfd33c19b83af207, // -0.95377, -0.30054 - 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 - 0xbfee7dadc456d850, 0xbfd36c04d27a4edf, // -0.95284, -0.30347 - 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 - 0xbfee7603dbce74e9, 0xbfd39be3f1bc8aef, // -0.95191, -0.30639 - 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 - 0xbfee6e472911da27, 0xbfd3cbb6f87a146e, // -0.95096, -0.30931 - 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 - 0xbfee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // -0.95001, -0.31222 - 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 - 0xbfee5e95781ebf1c, 0xbfd42b38466e2928, // -0.94905, -0.31514 - 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 - 0xbfee56a083968eb1, 0xbfd45ae652bb2800, // -0.94807, -0.31805 - 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 - 0xbfee4e98d836c0af, 0xbfd48a87d0b07fd7, // -0.94709, -0.32096 - 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 - 0xbfee467e7af35f23, 0xbfd4ba1ca2eca31c, // -0.94611, -0.32386 - 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 - 0xbfee3e5170cbfc46, 0xbfd4e9a4ac15d520, // -0.94511, -0.32676 - 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 - 0xbfee3611becbaf69, 0xbfd5191fceda3c35, // -0.9441, -0.32966 - 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 - 0xbfee2dbf6a0911d9, 0xbfd5488dedeff3be, // -0.94308, -0.33255 - 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 - 0xbfee255a77a63bb8, 0xbfd577eeec151e47, // -0.94206, -0.33545 - 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 - 0xbfee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // -0.94103, -0.33833 - 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 - 0xbfee1458cec1ad83, 0xbfd5d68910aee686, // -0.93998, -0.34122 - 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 - 0xbfee0bbc22bd8349, 0xbfd605c1fcc88f63, // -0.93893, -0.3441 - 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 - 0xbfee030cee1435b8, 0xbfd634ed533be58e, // -0.93787, -0.34698 - 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 - 0xbfedfa4b3621271d, 0xbfd6640af6f03d9e, // -0.9368, -0.34986 - 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 - 0xbfedf177004b2534, 0xbfd6931acad55f51, // -0.93573, -0.35273 - 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 - 0xbfede890520465ce, 0xbfd6c21cb1e39771, // -0.93464, -0.3556 - 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 - 0xbfeddf9730ca837b, 0xbfd6f1108f1bc9c5, // -0.93354, -0.35846 - 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 - 0xbfedd68ba2267a25, 0xbfd71ff6458782ec, // -0.93244, -0.36133 - 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 - 0xbfedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // -0.93133, -0.36418 - 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 - 0xbfedc43d52fcb453, 0xbfd77d96ca4b73a6, // -0.93021, -0.36704 - 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 - 0xbfedbafa9dc1b78d, 0xbfd7ac515ee2b172, // -0.92907, -0.36989 - 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 - 0xbfedb1a591b20c38, 0xbfd7dafd592ba621, // -0.92794, -0.37274 - 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 - 0xbfeda83e348f613b, 0xbfd8099a9c5c362d, // -0.92679, -0.37559 - 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 - 0xbfed9ec48c26b1f3, 0xbfd838290bb359c8, // -0.92563, -0.37843 - 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 - 0xbfed95389e50429b, 0xbfd866a88a792ea0, // -0.92447, -0.38127 - 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 - 0xbfed8b9a70ef9cb4, 0xbfd89518fbff098e, // -0.92329, -0.3841 - 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 - 0xbfed81ea09f38b63, 0xbfd8c37a439f884f, // -0.92211, -0.38693 - 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 - 0xbfed78276f5617c6, 0xbfd8f1cc44bea329, // -0.92092, -0.38976 - 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 - 0xbfed6e52a71c8547, 0xbfd9200ee2c9be97, // -0.91972, -0.39258 - 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 - 0xbfed646bb7574de5, 0xbfd94e420137bce3, // -0.91851, -0.3954 - 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 - 0xbfed5a72a6221e73, 0xbfd97c6583890fc2, // -0.91729, -0.39822 - 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 - 0xbfed506779a3d2d9, 0xbfd9aa794d47c9ee, // -0.91606, -0.40103 - 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 - 0xbfed464a380e7242, 0xbfd9d87d4207b0ab, // -0.91483, -0.40384 - 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 - 0xbfed3c1ae79f2b4e, 0xbfda067145664d57, // -0.91359, -0.40664 - 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 - 0xbfed31d98e9e503a, 0xbfda34553b0afee5, // -0.91234, -0.40944 - 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 - 0xbfed2786335f52fc, 0xbfda622906a70b63, // -0.91107, -0.41224 - 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 - 0xbfed1d20dc40c15c, 0xbfda8fec8bf5b166, // -0.90981, -0.41503 - 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 - 0xbfed12a98fac410c, 0xbfdabd9faebc3980, // -0.90853, -0.41782 - 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 - 0xbfed082054168bac, 0xbfdaeb4252ca07ab, // -0.90724, -0.42061 - 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 - 0xbfecfd852fff6ad4, 0xbfdb18d45bf8aca6, // -0.90595, -0.42339 - 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 - 0xbfecf2d829f1b40e, 0xbfdb4655ae2bf757, // -0.90464, -0.42617 - 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 - 0xbfece819488344ce, 0xbfdb73c62d520624, // -0.90333, -0.42894 - 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 - 0xbfecdd489254fe65, 0xbfdba125bd63583e, // -0.90201, -0.43171 - 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 - 0xbfecd2660e12c1e6, 0xbfdbce744262deee, // -0.90068, -0.43448 - 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 - 0xbfecc771c2736c09, 0xbfdbfbb1a05e0edc, // -0.89935, -0.43724 - 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 - 0xbfecbc6bb638d10b, 0xbfdc28ddbb6cf145, // -0.898, -0.43999 - 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 - 0xbfecb153f02fb87d, 0xbfdc55f877b23537, // -0.89665, -0.44275 - 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 - 0xbfeca62a772fd919, 0xbfdc8301b95b40c2, // -0.89528, -0.4455 - 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 - 0xbfec9aef521bd480, 0xbfdcaff964a0421d, // -0.89391, -0.44824 - 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 - 0xbfec8fa287e13305, 0xbfdcdcdf5dc440ce, // -0.89253, -0.45098 - 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 - 0xbfec84441f785f61, 0xbfdd09b389152ec1, // -0.89115, -0.45372 - 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 - 0xbfec78d41fe4a267, 0xbfdd3675caebf962, // -0.88975, -0.45645 - 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 - 0xbfec6d5290341eb2, 0xbfdd632607ac9aa9, // -0.88835, -0.45918 - 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 - 0xbfec61bf777fcc48, 0xbfdd8fc423c62a25, // -0.88693, -0.4619 - 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 - 0xbfec561adceb743e, 0xbfddbc5003b2edf8, // -0.88551, -0.46462 - 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 - 0xbfec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // -0.88408, -0.46733 - 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 - 0xbfec3e9d3ee7d262, 0xbfde1530a12779f4, // -0.88264, -0.47004 - 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 - 0xbfec32c449f60831, 0xbfde418527dc4ffa, // -0.8812, -0.47275 - 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 - 0xbfec26d9f01f2eaf, 0xbfde6dc704be97e2, // -0.87974, -0.47545 - 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 - 0xbfec1ade38bce19b, 0xbfde99f61c817eda, // -0.87828, -0.47815 - 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 - 0xbfec0ed12b3372e9, 0xbfdec61253e3c61b, // -0.87681, -0.48084 - 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 - 0xbfec02b2cef1e641, 0xbfdef21b8fafd3b5, // -0.87533, -0.48353 - 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 - 0xbfebf6832b71ec5b, 0xbfdf1e11b4bbc35c, // -0.87384, -0.48621 - 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 - 0xbfebea424837de6d, 0xbfdf49f4a7e97729, // -0.87235, -0.48889 - 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 - 0xbfebddf02cd2b983, 0xbfdf75c44e26a852, // -0.87084, -0.49156 - 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 - 0xbfebd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // -0.86933, -0.49423 - 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 - 0xbfebc5186bf8361d, 0xbfdfcd2947c1ff57, // -0.86781, -0.4969 - 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 - 0xbfebb892d5d5dad5, 0xbfdff8be6537615e, // -0.86628, -0.49956 - 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 - 0xbfebabfc262e6586, 0xbfe0121fe4f56d2c, // -0.86474, -0.50221 - 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 - 0xbfeb9f5464c5bffc, 0xbfe027d6ad83287e, // -0.8632, -0.50486 - 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 - 0xbfeb929b996a5b7f, 0xbfe03d837edff370, // -0.86165, -0.50751 - 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 - 0xbfeb85d1cbf52c02, 0xbfe053264bad0483, // -0.86009, -0.51015 - 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 - 0xbfeb78f70449a34b, 0xbfe068bf0691c028, // -0.85852, -0.51279 - 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 - 0xbfeb6c0b4a55ac17, 0xbfe07e4da23bc102, // -0.85694, -0.51542 - 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 - 0xbfeb5f0ea611a532, 0xbfe093d2115ee018, // -0.85535, -0.51804 - 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 - 0xbfeb52011f805c92, 0xbfe0a94c46b53d0b, // -0.85376, -0.52067 - 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 - 0xbfeb44e2beaf0a61, 0xbfe0bebc34ff4646, // -0.85216, -0.52328 - 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 - 0xbfeb37b38bb54c09, 0xbfe0d421cf03c12b, // -0.85055, -0.5259 - 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 - 0xbfeb2a738eb51f33, 0xbfe0e97d078fd23b, // -0.84893, -0.5285 - 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 - 0xbfeb1d22cfdadcc6, 0xbfe0fecdd1770537, // -0.84731, -0.5311 - 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 - 0xbfeb0fc1575d33db, 0xbfe114141f935545, // -0.84567, -0.5337 - 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 - 0xbfeb024f2d7d24a9, 0xbfe1294fe4c5350a, // -0.84403, -0.53629 - 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 - 0xbfeaf4cc5a85fb73, 0xbfe13e8113f396c1, // -0.84238, -0.53888 - 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 - 0xbfeae738e6cd4b67, 0xbfe153a7a00bf453, // -0.84073, -0.54146 - 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 - 0xbfead994dab2e979, 0xbfe168c37c025764, // -0.83906, -0.54404 - 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 - 0xbfeacbe03ea0e73b, 0xbfe17dd49ad16161, // -0.83739, -0.54661 - 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 - 0xbfeabe1b1b0b8dac, 0xbfe192daef7a5386, // -0.83571, -0.54918 - 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 - 0xbfeab045787157ff, 0xbfe1a7d66d0516e6, // -0.83402, -0.55174 - 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 - 0xbfeaa25f5f5aee60, 0xbfe1bcc706804467, // -0.83232, -0.55429 - 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 - 0xbfea9468d85b20ae, 0xbfe1d1acaf012cc2, // -0.83062, -0.55685 - 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 - 0xbfea8661ec0ee133, 0xbfe1e68759a3e074, // -0.8289, -0.55939 - 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 - 0xbfea784aa31d3f55, 0xbfe1fb56f98b37b8, // -0.82718, -0.56193 - 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 - 0xbfea6a230637623b, 0xbfe2101b81e0da78, // -0.82546, -0.56447 - 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 - 0xbfea5beb1e188375, 0xbfe224d4e5d5482e, // -0.82372, -0.567 - 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 - 0xbfea4da2f385e997, 0xbfe23983189fdfd5, // -0.82198, -0.56952 - 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 - 0xbfea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // -0.82023, -0.57204 - 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 - 0xbfea30e1fa4cbf81, 0xbfe262bdb7b795a2, // -0.81847, -0.57455 - 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 - 0xbfea22693d62ccb9, 0xbfe2774a0a961612, // -0.8167, -0.57706 - 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 - 0xbfea13e0617e4ec7, 0xbfe28bcaf96d94ba, // -0.81493, -0.57956 - 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 - 0xbfea05476f967bb5, 0xbfe2a040779843fb, // -0.81314, -0.58206 - 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 - 0xbfe9f69e70ac75bc, 0xbfe2b4aa787764c4, // -0.81135, -0.58455 - 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 - 0xbfe9e7e56dcb45bd, 0xbfe2c908ef734e57, // -0.80956, -0.58704 - 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 - 0xbfe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // -0.80775, -0.58952 - 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 - 0xbfe9ca438080eadb, 0xbfe2f1a30d86773a, // -0.80594, -0.592 - 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 - 0xbfe9bb5aa85f2098, 0xbfe305de9b921a94, // -0.80412, -0.59447 - 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 - 0xbfe9ac61f0d4e247, 0xbfe31a0e6da35e44, // -0.80229, -0.59693 - 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 - 0xbfe99d59631e65d5, 0xbfe32e3277467d6b, // -0.80046, -0.59939 - 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 - 0xbfe98e410881a600, 0xbfe3424aac0ef7d6, // -0.79861, -0.60184 - 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 - 0xbfe97f18ea4e5c9e, 0xbfe35656ff9799ae, // -0.79676, -0.60429 - 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 - 0xbfe96fe111ddfce0, 0xbfe36a576582831b, // -0.79491, -0.60673 - 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 - 0xbfe960998893ad8c, 0xbfe37e4bd1792fe2, // -0.79304, -0.60917 - 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 - 0xbfe9514257dc4335, 0xbfe39234372c7f04, // -0.79117, -0.6116 - 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 - 0xbfe941db892e3a65, 0xbfe3a6108a54ba58, // -0.78929, -0.61402 - 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 - 0xbfe932652609b1cf, 0xbfe3b9e0beb19e18, // -0.7874, -0.61644 - 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 - 0xbfe922df37f8646a, 0xbfe3cda4c80a6076, // -0.78551, -0.61885 - 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 - 0xbfe91349c88da398, 0xbfe3e15c9a2db922, // -0.7836, -0.62126 - 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 - 0xbfe903a4e1665133, 0xbfe3f50828f1e8d2, // -0.78169, -0.62366 - 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 - 0xbfe8f3f08c28d9ac, 0xbfe408a76834c0c0, // -0.77978, -0.62606 - 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 - 0xbfe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // -0.77785, -0.62845 - 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 - 0xbfe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // -0.77592, -0.63083 - 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 - 0xbfe8c47758fa71cb, 0xbfe4433ad0117b1d, // -0.77398, -0.63321 - 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 - 0xbfe8b485aca2a468, 0xbfe456a858917046, // -0.77204, -0.63558 - 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 - 0xbfe8a484c3031d50, 0xbfe46a095557a0f1, // -0.77008, -0.63794 - 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 - 0xbfe89474a5fb0a84, 0xbfe47d5dba6fde01, // -0.76812, -0.6403 - 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 - 0xbfe884555f72fa6b, 0xbfe490a57bedbcdf, // -0.76615, -0.64266 - 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 - 0xbfe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // -0.76418, -0.645 - 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 - 0xbfe863e97db3d95a, 0xbfe4b70ee48fb869, // -0.7622, -0.64735 - 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 - 0xbfe8539cf67c9029, 0xbfe4ca30740218a3, // -0.76021, -0.64968 - 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 - 0xbfe843416dc4cce2, 0xbfe4dd453076b064, // -0.75821, -0.65201 - 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 - 0xbfe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // -0.75621, -0.65433 - 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 - 0xbfe8225d803964e5, 0xbfe503480159ded2, // -0.75419, -0.65665 - 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 - 0xbfe811d52faf94dc, 0xbfe51635fe5601d7, // -0.75218, -0.65896 - 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 - 0xbfe8013e0638e795, 0xbfe52916f96f8388, // -0.75015, -0.66127 - 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 - 0xbfe7f0980e113978, 0xbfe53beae7012abe, // -0.74812, -0.66356 - 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 - 0xbfe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // -0.74608, -0.66586 - 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 - 0xbfe7cf1fdacbf179, 0xbfe5616b6b204e6e, // -0.74403, -0.66814 - 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 - 0xbfe7be4db453a27c, 0xbfe57417ea8bb75c, // -0.74198, -0.67042 - 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 - 0xbfe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // -0.73992, -0.67269 - 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 - 0xbfe79c7d8198e56e, 0xbfe599492a81ffbc, // -0.73785, -0.67496 - 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 - 0xbfe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // -0.73578, -0.67722 - 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 - 0xbfe77a730cbb9100, 0xbfe5be451f8bf980, // -0.7337, -0.67948 - 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 - 0xbfe7695813b9b594, 0xbfe5d0af016ed1d4, // -0.73161, -0.68172 - 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 - 0xbfe7582ea9b9a329, 0xbfe5e30b6e6877f3, // -0.72951, -0.68397 - 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 - 0xbfe746f6d9516d59, 0xbfe5f55a5b2576f8, // -0.72741, -0.6862 - 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 - 0xbfe735b0ad2009b2, 0xbfe6079bbc5aadfa, // -0.7253, -0.68843 - 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 - 0xbfe7245c2fcd492a, 0xbfe619cf86c55702, // -0.72319, -0.69065 - 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 - 0xbfe712f96c09d18d, 0xbfe62bf5af2b0dfd, // -0.72107, -0.69287 - 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 - 0xbfe701886c8f16e6, 0xbfe63e0e2a59d7aa, // -0.71894, -0.69508 - 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 - 0xbfe6f0093c1f54de, 0xbfe65018ed28287f, // -0.7168, -0.69728 - 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 - 0xbfe6de7be585881d, 0xbfe66215ec74eb91, // -0.71466, -0.69947 - 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 - 0xbfe6cce07395679f, 0xbfe674051d27896c, // -0.71251, -0.70166 - 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 - 0xbfe6bb36f12b5e06, 0xbfe685e6742feeef, // -0.71035, -0.70385 - 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 - 0xbfe6a97f692c82ea, 0xbfe697b9e686941c, // -0.70819, -0.70602 - 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 - 0xbfe697b9e686941c, 0xbfe6a97f692c82ea, // -0.70602, -0.70819 - 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 - 0xbfe685e6742feeef, 0xbfe6bb36f12b5e06, // -0.70385, -0.71035 - 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 - 0xbfe674051d27896c, 0xbfe6cce07395679f, // -0.70166, -0.71251 - 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 - 0xbfe66215ec74eb91, 0xbfe6de7be585881d, // -0.69947, -0.71466 - 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 - 0xbfe65018ed28287f, 0xbfe6f0093c1f54de, // -0.69728, -0.7168 - 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 - 0xbfe63e0e2a59d7aa, 0xbfe701886c8f16e6, // -0.69508, -0.71894 - 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 - 0xbfe62bf5af2b0dfd, 0xbfe712f96c09d18d, // -0.69287, -0.72107 - 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 - 0xbfe619cf86c55702, 0xbfe7245c2fcd492a, // -0.69065, -0.72319 - 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 - 0xbfe6079bbc5aadfa, 0xbfe735b0ad2009b2, // -0.68843, -0.7253 - 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 - 0xbfe5f55a5b2576f8, 0xbfe746f6d9516d59, // -0.6862, -0.72741 - 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 - 0xbfe5e30b6e6877f3, 0xbfe7582ea9b9a329, // -0.68397, -0.72951 - 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 - 0xbfe5d0af016ed1d4, 0xbfe7695813b9b594, // -0.68172, -0.73161 - 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 - 0xbfe5be451f8bf980, 0xbfe77a730cbb9100, // -0.67948, -0.7337 - 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 - 0xbfe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // -0.67722, -0.73578 - 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 - 0xbfe599492a81ffbc, 0xbfe79c7d8198e56e, // -0.67496, -0.73785 - 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 - 0xbfe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // -0.67269, -0.73992 - 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 - 0xbfe57417ea8bb75c, 0xbfe7be4db453a27c, // -0.67042, -0.74198 - 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 - 0xbfe5616b6b204e6e, 0xbfe7cf1fdacbf179, // -0.66814, -0.74403 - 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 - 0xbfe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // -0.66586, -0.74608 - 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 - 0xbfe53beae7012abe, 0xbfe7f0980e113978, // -0.66356, -0.74812 - 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 - 0xbfe52916f96f8388, 0xbfe8013e0638e795, // -0.66127, -0.75015 - 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 - 0xbfe51635fe5601d7, 0xbfe811d52faf94dc, // -0.65896, -0.75218 - 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 - 0xbfe503480159ded2, 0xbfe8225d803964e5, // -0.65665, -0.75419 - 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 - 0xbfe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // -0.65433, -0.75621 - 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 - 0xbfe4dd453076b064, 0xbfe843416dc4cce2, // -0.65201, -0.75821 - 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 - 0xbfe4ca30740218a3, 0xbfe8539cf67c9029, // -0.64968, -0.76021 - 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 - 0xbfe4b70ee48fb869, 0xbfe863e97db3d95a, // -0.64735, -0.7622 - 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 - 0xbfe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // -0.645, -0.76418 - 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 - 0xbfe490a57bedbcdf, 0xbfe884555f72fa6b, // -0.64266, -0.76615 - 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 - 0xbfe47d5dba6fde01, 0xbfe89474a5fb0a84, // -0.6403, -0.76812 - 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 - 0xbfe46a095557a0f1, 0xbfe8a484c3031d50, // -0.63794, -0.77008 - 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 - 0xbfe456a858917046, 0xbfe8b485aca2a468, // -0.63558, -0.77204 - 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 - 0xbfe4433ad0117b1d, 0xbfe8c47758fa71cb, // -0.63321, -0.77398 - 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 - 0xbfe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // -0.63083, -0.77592 - 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 - 0xbfe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // -0.62845, -0.77785 - 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 - 0xbfe408a76834c0c0, 0xbfe8f3f08c28d9ac, // -0.62606, -0.77978 - 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 - 0xbfe3f50828f1e8d2, 0xbfe903a4e1665133, // -0.62366, -0.78169 - 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 - 0xbfe3e15c9a2db922, 0xbfe91349c88da398, // -0.62126, -0.7836 - 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 - 0xbfe3cda4c80a6076, 0xbfe922df37f8646a, // -0.61885, -0.78551 - 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 - 0xbfe3b9e0beb19e18, 0xbfe932652609b1cf, // -0.61644, -0.7874 - 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 - 0xbfe3a6108a54ba58, 0xbfe941db892e3a65, // -0.61402, -0.78929 - 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 - 0xbfe39234372c7f04, 0xbfe9514257dc4335, // -0.6116, -0.79117 - 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 - 0xbfe37e4bd1792fe2, 0xbfe960998893ad8c, // -0.60917, -0.79304 - 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 - 0xbfe36a576582831b, 0xbfe96fe111ddfce0, // -0.60673, -0.79491 - 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 - 0xbfe35656ff9799ae, 0xbfe97f18ea4e5c9e, // -0.60429, -0.79676 - 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 - 0xbfe3424aac0ef7d6, 0xbfe98e410881a600, // -0.60184, -0.79861 - 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 - 0xbfe32e3277467d6b, 0xbfe99d59631e65d5, // -0.59939, -0.80046 - 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 - 0xbfe31a0e6da35e44, 0xbfe9ac61f0d4e247, // -0.59693, -0.80229 - 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 - 0xbfe305de9b921a94, 0xbfe9bb5aa85f2098, // -0.59447, -0.80412 - 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 - 0xbfe2f1a30d86773a, 0xbfe9ca438080eadb, // -0.592, -0.80594 - 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 - 0xbfe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // -0.58952, -0.80775 - 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 - 0xbfe2c908ef734e57, 0xbfe9e7e56dcb45bd, // -0.58704, -0.80956 - 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 - 0xbfe2b4aa787764c4, 0xbfe9f69e70ac75bc, // -0.58455, -0.81135 - 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 - 0xbfe2a040779843fb, 0xbfea05476f967bb5, // -0.58206, -0.81314 - 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 - 0xbfe28bcaf96d94ba, 0xbfea13e0617e4ec7, // -0.57956, -0.81493 - 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 - 0xbfe2774a0a961612, 0xbfea22693d62ccb9, // -0.57706, -0.8167 - 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 - 0xbfe262bdb7b795a2, 0xbfea30e1fa4cbf81, // -0.57455, -0.81847 - 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 - 0xbfe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // -0.57204, -0.82023 - 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 - 0xbfe23983189fdfd5, 0xbfea4da2f385e997, // -0.56952, -0.82198 - 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 - 0xbfe224d4e5d5482e, 0xbfea5beb1e188375, // -0.567, -0.82372 - 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 - 0xbfe2101b81e0da78, 0xbfea6a230637623b, // -0.56447, -0.82546 - 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 - 0xbfe1fb56f98b37b8, 0xbfea784aa31d3f55, // -0.56193, -0.82718 - 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 - 0xbfe1e68759a3e074, 0xbfea8661ec0ee133, // -0.55939, -0.8289 - 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 - 0xbfe1d1acaf012cc2, 0xbfea9468d85b20ae, // -0.55685, -0.83062 - 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 - 0xbfe1bcc706804467, 0xbfeaa25f5f5aee60, // -0.55429, -0.83232 - 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 - 0xbfe1a7d66d0516e6, 0xbfeab045787157ff, // -0.55174, -0.83402 - 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 - 0xbfe192daef7a5386, 0xbfeabe1b1b0b8dac, // -0.54918, -0.83571 - 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 - 0xbfe17dd49ad16161, 0xbfeacbe03ea0e73b, // -0.54661, -0.83739 - 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 - 0xbfe168c37c025764, 0xbfead994dab2e979, // -0.54404, -0.83906 - 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 - 0xbfe153a7a00bf453, 0xbfeae738e6cd4b67, // -0.54146, -0.84073 - 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 - 0xbfe13e8113f396c1, 0xbfeaf4cc5a85fb73, // -0.53888, -0.84238 - 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 - 0xbfe1294fe4c5350a, 0xbfeb024f2d7d24a9, // -0.53629, -0.84403 - 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 - 0xbfe114141f935545, 0xbfeb0fc1575d33db, // -0.5337, -0.84567 - 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 - 0xbfe0fecdd1770537, 0xbfeb1d22cfdadcc6, // -0.5311, -0.84731 - 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 - 0xbfe0e97d078fd23b, 0xbfeb2a738eb51f33, // -0.5285, -0.84893 - 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 - 0xbfe0d421cf03c12b, 0xbfeb37b38bb54c09, // -0.5259, -0.85055 - 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 - 0xbfe0bebc34ff4646, 0xbfeb44e2beaf0a61, // -0.52328, -0.85216 - 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 - 0xbfe0a94c46b53d0b, 0xbfeb52011f805c92, // -0.52067, -0.85376 - 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 - 0xbfe093d2115ee018, 0xbfeb5f0ea611a532, // -0.51804, -0.85535 - 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 - 0xbfe07e4da23bc102, 0xbfeb6c0b4a55ac17, // -0.51542, -0.85694 - 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 - 0xbfe068bf0691c028, 0xbfeb78f70449a34b, // -0.51279, -0.85852 - 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 - 0xbfe053264bad0483, 0xbfeb85d1cbf52c02, // -0.51015, -0.86009 - 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 - 0xbfe03d837edff370, 0xbfeb929b996a5b7f, // -0.50751, -0.86165 - 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 - 0xbfe027d6ad83287e, 0xbfeb9f5464c5bffc, // -0.50486, -0.8632 - 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 - 0xbfe0121fe4f56d2c, 0xbfebabfc262e6586, // -0.50221, -0.86474 - 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 - 0xbfdff8be6537615e, 0xbfebb892d5d5dad5, // -0.49956, -0.86628 - 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 - 0xbfdfcd2947c1ff57, 0xbfebc5186bf8361d, // -0.4969, -0.86781 - 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 - 0xbfdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // -0.49423, -0.86933 - 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 - 0xbfdf75c44e26a852, 0xbfebddf02cd2b983, // -0.49156, -0.87084 - 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 - 0xbfdf49f4a7e97729, 0xbfebea424837de6d, // -0.48889, -0.87235 - 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 - 0xbfdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // -0.48621, -0.87384 - 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 - 0xbfdef21b8fafd3b5, 0xbfec02b2cef1e641, // -0.48353, -0.87533 - 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 - 0xbfdec61253e3c61b, 0xbfec0ed12b3372e9, // -0.48084, -0.87681 - 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 - 0xbfde99f61c817eda, 0xbfec1ade38bce19b, // -0.47815, -0.87828 - 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 - 0xbfde6dc704be97e2, 0xbfec26d9f01f2eaf, // -0.47545, -0.87974 - 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 - 0xbfde418527dc4ffa, 0xbfec32c449f60831, // -0.47275, -0.8812 - 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 - 0xbfde1530a12779f4, 0xbfec3e9d3ee7d262, // -0.47004, -0.88264 - 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 - 0xbfdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // -0.46733, -0.88408 - 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 - 0xbfddbc5003b2edf8, 0xbfec561adceb743e, // -0.46462, -0.88551 - 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 - 0xbfdd8fc423c62a25, 0xbfec61bf777fcc48, // -0.4619, -0.88693 - 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 - 0xbfdd632607ac9aa9, 0xbfec6d5290341eb2, // -0.45918, -0.88835 - 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 - 0xbfdd3675caebf962, 0xbfec78d41fe4a267, // -0.45645, -0.88975 - 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 - 0xbfdd09b389152ec1, 0xbfec84441f785f61, // -0.45372, -0.89115 - 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 - 0xbfdcdcdf5dc440ce, 0xbfec8fa287e13305, // -0.45098, -0.89253 - 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 - 0xbfdcaff964a0421d, 0xbfec9aef521bd480, // -0.44824, -0.89391 - 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 - 0xbfdc8301b95b40c2, 0xbfeca62a772fd919, // -0.4455, -0.89528 - 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 - 0xbfdc55f877b23537, 0xbfecb153f02fb87d, // -0.44275, -0.89665 - 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 - 0xbfdc28ddbb6cf145, 0xbfecbc6bb638d10b, // -0.43999, -0.898 - 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 - 0xbfdbfbb1a05e0edc, 0xbfecc771c2736c09, // -0.43724, -0.89935 - 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 - 0xbfdbce744262deee, 0xbfecd2660e12c1e6, // -0.43448, -0.90068 - 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 - 0xbfdba125bd63583e, 0xbfecdd489254fe65, // -0.43171, -0.90201 - 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 - 0xbfdb73c62d520624, 0xbfece819488344ce, // -0.42894, -0.90333 - 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 - 0xbfdb4655ae2bf757, 0xbfecf2d829f1b40e, // -0.42617, -0.90464 - 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 - 0xbfdb18d45bf8aca6, 0xbfecfd852fff6ad4, // -0.42339, -0.90595 - 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 - 0xbfdaeb4252ca07ab, 0xbfed082054168bac, // -0.42061, -0.90724 - 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 - 0xbfdabd9faebc3980, 0xbfed12a98fac410c, // -0.41782, -0.90853 - 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 - 0xbfda8fec8bf5b166, 0xbfed1d20dc40c15c, // -0.41503, -0.90981 - 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 - 0xbfda622906a70b63, 0xbfed2786335f52fc, // -0.41224, -0.91107 - 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 - 0xbfda34553b0afee5, 0xbfed31d98e9e503a, // -0.40944, -0.91234 - 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 - 0xbfda067145664d57, 0xbfed3c1ae79f2b4e, // -0.40664, -0.91359 - 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 - 0xbfd9d87d4207b0ab, 0xbfed464a380e7242, // -0.40384, -0.91483 - 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 - 0xbfd9aa794d47c9ee, 0xbfed506779a3d2d9, // -0.40103, -0.91606 - 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 - 0xbfd97c6583890fc2, 0xbfed5a72a6221e73, // -0.39822, -0.91729 - 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 - 0xbfd94e420137bce3, 0xbfed646bb7574de5, // -0.3954, -0.91851 - 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 - 0xbfd9200ee2c9be97, 0xbfed6e52a71c8547, // -0.39258, -0.91972 - 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 - 0xbfd8f1cc44bea329, 0xbfed78276f5617c6, // -0.38976, -0.92092 - 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 - 0xbfd8c37a439f884f, 0xbfed81ea09f38b63, // -0.38693, -0.92211 - 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 - 0xbfd89518fbff098e, 0xbfed8b9a70ef9cb4, // -0.3841, -0.92329 - 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 - 0xbfd866a88a792ea0, 0xbfed95389e50429b, // -0.38127, -0.92447 - 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 - 0xbfd838290bb359c8, 0xbfed9ec48c26b1f3, // -0.37843, -0.92563 - 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 - 0xbfd8099a9c5c362d, 0xbfeda83e348f613b, // -0.37559, -0.92679 - 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 - 0xbfd7dafd592ba621, 0xbfedb1a591b20c38, // -0.37274, -0.92794 - 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 - 0xbfd7ac515ee2b172, 0xbfedbafa9dc1b78d, // -0.36989, -0.92907 - 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 - 0xbfd77d96ca4b73a6, 0xbfedc43d52fcb453, // -0.36704, -0.93021 - 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 - 0xbfd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // -0.36418, -0.93133 - 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 - 0xbfd71ff6458782ec, 0xbfedd68ba2267a25, // -0.36133, -0.93244 - 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 - 0xbfd6f1108f1bc9c5, 0xbfeddf9730ca837b, // -0.35846, -0.93354 - 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 - 0xbfd6c21cb1e39771, 0xbfede890520465ce, // -0.3556, -0.93464 - 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 - 0xbfd6931acad55f51, 0xbfedf177004b2534, // -0.35273, -0.93573 - 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 - 0xbfd6640af6f03d9e, 0xbfedfa4b3621271d, // -0.34986, -0.9368 - 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 - 0xbfd634ed533be58e, 0xbfee030cee1435b8, // -0.34698, -0.93787 - 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 - 0xbfd605c1fcc88f63, 0xbfee0bbc22bd8349, // -0.3441, -0.93893 - 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 - 0xbfd5d68910aee686, 0xbfee1458cec1ad83, // -0.34122, -0.93998 - 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 - 0xbfd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // -0.33833, -0.94103 - 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 - 0xbfd577eeec151e47, 0xbfee255a77a63bb8, // -0.33545, -0.94206 - 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 - 0xbfd5488dedeff3be, 0xbfee2dbf6a0911d9, // -0.33255, -0.94308 - 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 - 0xbfd5191fceda3c35, 0xbfee3611becbaf69, // -0.32966, -0.9441 - 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 - 0xbfd4e9a4ac15d520, 0xbfee3e5170cbfc46, // -0.32676, -0.94511 - 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 - 0xbfd4ba1ca2eca31c, 0xbfee467e7af35f23, // -0.32386, -0.94611 - 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 - 0xbfd48a87d0b07fd7, 0xbfee4e98d836c0af, // -0.32096, -0.94709 - 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 - 0xbfd45ae652bb2800, 0xbfee56a083968eb1, // -0.31805, -0.94807 - 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 - 0xbfd42b38466e2928, 0xbfee5e95781ebf1c, // -0.31514, -0.94905 - 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 - 0xbfd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // -0.31222, -0.95001 - 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 - 0xbfd3cbb6f87a146e, 0xbfee6e472911da27, // -0.30931, -0.95096 - 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 - 0xbfd39be3f1bc8aef, 0xbfee7603dbce74e9, // -0.30639, -0.95191 - 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 - 0xbfd36c04d27a4edf, 0xbfee7dadc456d850, // -0.30347, -0.95284 - 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 - 0xbfd33c19b83af207, 0xbfee8544ddf0d075, // -0.30054, -0.95377 - 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 - 0xbfd30c22c08d6a13, 0xbfee8cc923edc388, // -0.29762, -0.95469 - 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 - 0xbfd2dc200907fe51, 0xbfee943a91aab4b4, // -0.29469, -0.95559 - 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 - 0xbfd2ac11af483572, 0xbfee9b99229046f8, // -0.29175, -0.95649 - 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 - 0xbfd27bf7d0f2c346, 0xbfeea2e4d212c000, // -0.28882, -0.95738 - 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 - 0xbfd24bd28bb37672, 0xbfeeaa1d9bb20af3, // -0.28588, -0.95827 - 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 - 0xbfd21ba1fd3d2623, 0xbfeeb1437af9bb34, // -0.28294, -0.95914 - 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 - 0xbfd1eb6643499fbb, 0xbfeeb8566b810f2a, // -0.27999, -0.96 - 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 - 0xbfd1bb1f7b999480, 0xbfeebf5668eaf2ef, // -0.27705, -0.96086 - 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 - 0xbfd18acdc3f4873a, 0xbfeec6436ee60309, // -0.2741, -0.9617 - 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 - 0xbfd15a713a28b9d9, 0xbfeecd1d792c8f10, // -0.27115, -0.96254 - 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 - 0xbfd12a09fc0b1b12, 0xbfeed3e483849c51, // -0.26819, -0.96337 - 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 - 0xbfd0f998277733f7, 0xbfeeda9889bfe86a, // -0.26523, -0.96418 - 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 - 0xbfd0c91bda4f158d, 0xbfeee13987bbebdc, // -0.26227, -0.96499 - 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 - 0xbfd09895327b465e, 0xbfeee7c77961dc9e, // -0.25931, -0.96579 - 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 - 0xbfd068044deab002, 0xbfeeee425aa6b09a, // -0.25635, -0.96658 - 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 - 0xbfd037694a928cac, 0xbfeef4aa278b2032, // -0.25338, -0.96737 - 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 - 0xbfd006c4466e54af, 0xbfeefafedc1ba8b7, // -0.25041, -0.96814 - 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 - 0xbfcfac2abeff57ff, 0xbfef014074708ed3, // -0.24744, -0.9689 - 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 - 0xbfcf4ab9679c9f5c, 0xbfef076eecade0fa, // -0.24447, -0.96966 - 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 - 0xbfcee934c2d006c7, 0xbfef0d8a410379c5, // -0.24149, -0.9704 - 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 - 0xbfce879d0cc0fdaf, 0xbfef13926dad024e, // -0.23851, -0.97114 - 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 - 0xbfce25f281a2b684, 0xbfef19876ef1f486, // -0.23553, -0.97187 - 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 - 0xbfcdc4355db40195, 0xbfef1f6941259d7a, // -0.23255, -0.97258 - 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 - 0xbfcd6265dd3f27e3, 0xbfef2537e0a71f9f, // -0.22957, -0.97329 - 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 - 0xbfcd00843c99c5f9, 0xbfef2af349e17507, // -0.22658, -0.97399 - 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 - 0xbfcc9e90b824a6a9, 0xbfef309b794b719f, // -0.22359, -0.97468 - 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 - 0xbfcc3c8b8c4b9dd7, 0xbfef36306b67c556, // -0.2206, -0.97536 - 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 - 0xbfcbda74f5856330, 0xbfef3bb21cc4fe47, // -0.2176, -0.97604 - 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 - 0xbfcb784d30536cda, 0xbfef412089fd8adc, // -0.21461, -0.9767 - 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 - 0xbfcb16147941ca2a, 0xbfef467bafb7bbe0, // -0.21161, -0.97735 - 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 - 0xbfcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // -0.20861, -0.978 - 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 - 0xbfca517127e3dabc, 0xbfef50f81785c6b9, // -0.20561, -0.97863 - 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 - 0xbfc9ef0706e35a35, 0xbfef56195321c090, // -0.20261, -0.97926 - 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 - 0xbfc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // -0.1996, -0.97988 - 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 - 0xbfc92a0303c8194f, 0xbfef6021c9f148c2, // -0.19659, -0.98048 - 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 - 0xbfc8c7699b34ca7e, 0xbfef6508fef47bd5, // -0.19359, -0.98108 - 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 - 0xbfc864c0e9b2b6cf, 0xbfef69dcd652f5de, // -0.19057, -0.98167 - 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 - 0xbfc802092c1d744b, 0xbfef6e9d4d1262ca, // -0.18756, -0.98225 - 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 - 0xbfc79f429f59e11d, 0xbfef734a60446279, // -0.18455, -0.98282 - 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 - 0xbfc73c6d8055fe0a, 0xbfef77e40d068a90, // -0.18153, -0.98339 - 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 - 0xbfc6d98a0c08c8da, 0xbfef7c6a50826840, // -0.17851, -0.98394 - 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 - 0xbfc676987f7216b8, 0xbfef80dd27ed8204, // -0.17549, -0.98448 - 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 - 0xbfc61399179a6e94, 0xbfef853c9089595e, // -0.17247, -0.98501 - 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 - 0xbfc5b08c1192e381, 0xbfef898887a36c84, // -0.16945, -0.98554 - 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 - 0xbfc54d71aa74ef02, 0xbfef8dc10a95380d, // -0.16643, -0.98605 - 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 - 0xbfc4ea4a1f624b61, 0xbfef91e616c43891, // -0.1634, -0.98656 - 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 - 0xbfc48715ad84cdf5, 0xbfef95f7a9a1ec47, // -0.16037, -0.98706 - 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 - 0xbfc423d4920e4166, 0xbfef99f5c0abd496, // -0.15734, -0.98754 - 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 - 0xbfc3c0870a383ff6, 0xbfef9de0596b77a3, // -0.15431, -0.98802 - 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 - 0xbfc35d2d53440db2, 0xbfefa1b7717661d5, // -0.15128, -0.98849 - 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 - 0xbfc2f9c7aa7a72af, 0xbfefa57b066e2754, // -0.14825, -0.98895 - 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 - 0xbfc296564d2b953e, 0xbfefa92b1600657c, // -0.14521, -0.9894 - 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 - 0xbfc232d978aed413, 0xbfefacc79de6c44f, // -0.14218, -0.98984 - 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 - 0xbfc1cf516a62a077, 0xbfefb0509be6f7db, // -0.13914, -0.99027 - 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 - 0xbfc16bbe5fac5865, 0xbfefb3c60dd2c199, // -0.1361, -0.9907 - 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 - 0xbfc1082095f820b0, 0xbfefb727f187f1c7, // -0.13306, -0.99111 - 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 - 0xbfc0a4784ab8bf1d, 0xbfefba7644f068b5, // -0.13002, -0.99151 - 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 - 0xbfc040c5bb67747e, 0xbfefbdb106021816, // -0.12698, -0.99191 - 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 - 0xbfbfba124b07ad85, 0xbfefc0d832bf043a, // -0.12393, -0.99229 - 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 - 0xbfbef2858d27561b, 0xbfefc3ebc935454c, // -0.12089, -0.99267 - 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 - 0xbfbe2ae5b8457f77, 0xbfefc6ebc77f0887, // -0.11784, -0.99303 - 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 - 0xbfbd633347858ce4, 0xbfefc9d82bc2915e, // -0.11479, -0.99339 - 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 - 0xbfbc9b6eb6165c42, 0xbfefccb0f4323aa3, // -0.11175, -0.99374 - 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 - 0xbfbbd3987f31fa0e, 0xbfefcf761f0c77a3, // -0.1087, -0.99407 - 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 - 0xbfbb0bb11e1d5559, 0xbfefd227aa9bd53b, // -0.10565, -0.9944 - 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 - 0xbfba43b90e27f3c4, 0xbfefd4c59536fae4, // -0.1026, -0.99472 - 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 - 0xbfb97bb0caaba56f, 0xbfefd74fdd40abbf, // -0.099544, -0.99503 - 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 - 0xbfb8b398cf0c38e0, 0xbfefd9c68127c78c, // -0.09649, -0.99533 - 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 - 0xbfb7eb7196b72ee4, 0xbfefdc297f674ba9, // -0.093436, -0.99563 - 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 - 0xbfb7233b9d236e71, 0xbfefde78d68653fd, // -0.090381, -0.99591 - 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 - 0xbfb65af75dd0f87b, 0xbfefe0b485181be3, // -0.087326, -0.99618 - 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 - 0xbfb592a554489bc8, 0xbfefe2dc89bbff08, // -0.084269, -0.99644 - 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 - 0xbfb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // -0.081211, -0.9967 - 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 - 0xbfb401d9d0e3a507, 0xbfefe6f18ff42c84, // -0.078153, -0.99694 - 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 - 0xbfb339614e41ffa5, 0xbfefe8de8f03d75c, // -0.075094, -0.99718 - 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 - 0xbfb270dcefdfc45b, 0xbfefeab7df1c6005, // -0.072035, -0.9974 - 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 - 0xbfb1a84d316d4f8a, 0xbfefec7d7f19cffc, // -0.068974, -0.99762 - 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 - 0xbfb0dfb28ea201e6, 0xbfefee2f6de455ba, // -0.065913, -0.99783 - 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 - 0xbfb0170d833bf421, 0xbfefefcdaa704562, // -0.062852, -0.99802 - 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 - 0xbfae9cbd15ff5527, 0xbfeff15833be1965, // -0.05979, -0.99821 - 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 - 0xbfad0b4c436f91d0, 0xbfeff2cf08da7321, // -0.056727, -0.99839 - 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 - 0xbfab79c986698b78, 0xbfeff43228de1b77, // -0.053664, -0.99856 - 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 - 0xbfa9e835d6993c87, 0xbfeff58192ee0358, // -0.0506, -0.99872 - 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 - 0xbfa856922bb513c1, 0xbfeff6bd463b444d, // -0.047535, -0.99887 - 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 - 0xbfa6c4df7d7d5b84, 0xbfeff7e5420320f9, // -0.044471, -0.99901 - 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 - 0xbfa5331ec3bba0eb, 0xbfeff8f9858f058b, // -0.041406, -0.99914 - 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 - 0xbfa3a150f6421afc, 0xbfeff9fa10348837, // -0.03834, -0.99926 - 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 - 0xbfa20f770ceb11c6, 0xbfeffae6e1556998, // -0.035274, -0.99938 - 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 - 0xbfa07d91ff984580, 0xbfeffbbff85f9515, // -0.032208, -0.99948 - 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 - 0xbf9dd7458c64ab39, 0xbfeffc8554cd213a, // -0.029142, -0.99958 - 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 - 0xbf9ab354b1504fca, 0xbfeffd36f624500c, // -0.026075, -0.99966 - 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 - 0xbf978f535ddc9f03, 0xbfeffdd4dbf78f52, // -0.023008, -0.99974 - 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 - 0xbf946b4381fce81c, 0xbfeffe5f05e578db, // -0.01994, -0.9998 - 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 - 0xbf9147270dad7132, 0xbfeffed57398d2b7, // -0.016873, -0.99986 - 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 - 0xbf8c45ffe1e48ad9, 0xbfefff3824c88f6f, // -0.013805, -0.9999 - 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 - 0xbf85fda037ac05e0, 0xbfefff871937ce2f, // -0.010738, -0.99994 - 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 - 0xbf7f6a65f9a2a3c5, 0xbfefffc250b5daef, //-0.0076698, -0.99997 - 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 - 0xbf72d97822f996bc, 0xbfefffe9cb1e2e8d, //-0.0046019, -0.99999 - 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 - 0xbf5921faaee6472d, 0xbfeffffd88586ee6, // -0.001534, -1 - 0x0000000000000000, 0xbff0000000000000, // 0, -1 - 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 - 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 - 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, // 0.0046019, -0.99999 - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 - 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, // 0.0076698, -0.99997 - 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 - 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 - 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 - 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 - 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 - 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 - 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 - 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 - 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 - 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 - 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 - 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 - 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 - 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 - 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 - 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 - 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 - 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 - 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 - 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 - 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 - 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 - 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 - 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 - 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 - 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 - 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 - 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 - 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 - 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 - 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 - 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 - 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 - 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 - 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 - 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 - 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 - 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 - 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 - 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 - 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 - 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 - 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 - 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 - 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 - 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 - 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 - 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 - 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 - 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 - 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 - 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 - 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 - 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 - 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 - 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 - 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 - 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 - 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 - 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 - 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 - 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 - 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 - 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 - 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 - 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 - 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 - 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 - 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 - 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 - 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 - 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 - 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 - 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 - 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 - 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 - 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 - 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 - 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 - 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 - 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 - 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 - 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 - 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 - 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 - 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 - 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 - 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 - 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 - 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 - 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 - 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 - 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 - 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 - 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 - 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 - 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 - 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 - 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 - 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 - 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 - 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 - 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 - 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 - 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 - 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 - 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 - 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 - 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 - 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 - 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 - 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 - 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 - 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 - 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 - 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 - 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 - 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 - 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 - 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 - 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 - 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 - 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 - 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 - 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 - 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 - 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 - 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 - 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 - 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 - 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 - 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 - 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 - 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 - 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 - 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 - 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 - 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 - 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 - 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 - 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 - 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 - 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 - 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 - 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 - 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 - 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 - 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 - 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 - 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 - 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 - 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 - 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 - 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 - 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 - 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 - 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 - 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 - 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 - 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 - 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 - 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 - 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 - 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 - 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 - 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 - 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 - 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 - 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 - 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 - 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 - 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 - 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 - 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 - 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 - 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 - 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 - 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 - 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 - 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 - 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 - 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 - 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 - 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 - 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 - 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 - 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 - 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 - 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 - 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 - 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 - 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 - 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 - 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 - 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 - 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 - 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 - 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 - 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 - 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 - 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 - 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 - 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 - 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 - 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 - 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 - 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 - 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 - 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 - 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 - 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 - 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 - 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 - 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 - 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 - 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 - 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 - 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 - 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 - 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 - 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 - 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 - 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 - 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 - 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 - 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 - 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 - 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 - 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 - 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 - 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 - 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 - 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 - 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 - 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 - 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 - 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 - 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 - 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 - 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 - 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 - 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 - 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 - 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 - 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 - 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 - 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 - 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 - 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 - 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 - 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 - 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 - 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 - 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 - 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 - 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 - 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 - 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 - 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 - 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 - 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 - 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 - 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 - 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 - 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 - 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 - 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 - 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 - 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 - 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 - 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 - 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 - 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 - 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 - 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 - 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 - 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 - 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 - 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 - 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 - 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 - 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 - 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 - 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 - 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 - 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 - 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 - 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 - 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 - 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 - 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 - 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 - 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 - 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 - 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 - 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 - 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 - 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 - 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 - 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 - 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 - 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 - 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 - 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 - 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 - 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 - 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 - 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 - 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 - 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 - 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 - 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 - 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 - 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 - 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 - 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 - 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 - 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 - 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 - 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 - 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 - 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 - 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 - 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 - 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 - 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 - 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 - 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 - 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 - 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 - 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 - 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 - 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 - 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 - 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 - 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 - 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 - 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 - 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 - 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 - 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 - 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 - 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 - 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 - 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 - 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 - 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 - 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 - 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 - 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 - 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 - 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 - 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 - 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 - 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 - 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 - 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 - 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 - 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 - 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 - 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 - 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 - 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 - 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 - 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 - 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 - 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 - 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 - 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 - 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 - 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 - 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 - 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 - 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 - 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 - 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 - 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 - 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 - 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 - 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 - 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 - 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 - 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 - 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 - 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 - 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 - 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 - 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 - 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 - 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 - 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 - 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 - 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 - 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 - 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 - 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 - 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 - 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 - 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 - 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 - 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 - 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 - 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 - 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 - 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 - 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 - 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 - 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 - 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 - 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 - 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 - 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 - 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 - 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 - 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 - 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 - 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 - 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 - 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 - 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 - 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 - 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 - 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 - 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 - 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 - 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 - 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 - 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 - 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 - 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 - 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 - 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 - 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 - 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 - 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 - 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 - 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 - 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 - 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 - 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 - 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 - 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 - 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 - 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 - 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 - 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 - 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 - 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 - 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 - 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 - 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 - 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 - 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 - 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 - 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 - 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 - 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 - 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 - 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 - 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 - 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 - 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 - 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 - 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 - 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 - 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 - 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 - 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 - 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 - 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 - 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 - 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 - 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 - 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 - 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 - 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 - 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 - 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 - 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 - 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 - 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 - 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 - 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 - 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 - 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 - 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 - 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 - 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 - 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 - 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 - 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 - 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 - 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 - 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 - 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 - 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 - 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 - 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 - 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 - 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 - 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 - 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 - 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 - 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 - 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 - 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 - 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 - 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 - 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 - 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 - 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 - 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 - 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 - 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 - 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 - 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 - 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 - 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 - 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 - 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 - 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 - 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 - 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 - 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 - 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 - 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 - 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 - 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 - 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 - 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 - 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 - 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 - 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 - 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 - 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 - 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 - 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 - 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 - 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 - 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 - 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 - 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 - 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 - 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 - 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 - 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 - 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 - 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 - 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 - 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 - 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 - 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 - 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 - 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 - 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 - 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 - 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 - 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 - 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 - 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 - 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 - 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 - 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 - 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 - 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 - 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 - 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 - 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 - 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 - 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 - 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 - 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 - 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 - 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 - 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 - 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 - 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 - 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 - 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 - 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 - 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 - 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 - 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 - 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 - 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 - 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 - 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 - 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 - 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 - 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 - 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 - 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 - 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 - 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 - 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 - 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 - 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 - 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 - 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 - 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 - 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 - 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 - 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 - 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 - 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 - 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 - 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 - 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 - 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 - 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 - 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 - 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 - 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 - 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 - 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 - 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 - 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 - 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 - 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 - 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 - 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 - 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 - 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 - 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 - 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 - 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 - 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 - 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 - 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 - 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 - 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 - 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 - 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 - 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 - 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 - 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 - 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 - 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 - 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 - 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 - 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 - 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 - 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 - 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 - 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 - - -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i < N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 16, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_16[32] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.923879533f, 0.382683432f, - 0.707106781f, 0.707106781f, - 0.382683432f, 0.923879533f, - 0.000000000f, 1.000000000f, - -0.382683432f, 0.923879533f, - -0.707106781f, 0.707106781f, - -0.923879533f, 0.382683432f, - -1.000000000f, 0.000000000f, - -0.923879533f, -0.382683432f, - -0.707106781f, -0.707106781f, - -0.382683432f, -0.923879533f, - -0.000000000f, -1.000000000f, - 0.382683432f, -0.923879533f, - 0.707106781f, -0.707106781f, - 0.923879533f, -0.382683432f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 32, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_32[64] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.980785280f, 0.195090322f, - 0.923879533f, 0.382683432f, - 0.831469612f, 0.555570233f, - 0.707106781f, 0.707106781f, - 0.555570233f, 0.831469612f, - 0.382683432f, 0.923879533f, - 0.195090322f, 0.980785280f, - 0.000000000f, 1.000000000f, - -0.195090322f, 0.980785280f, - -0.382683432f, 0.923879533f, - -0.555570233f, 0.831469612f, - -0.707106781f, 0.707106781f, - -0.831469612f, 0.555570233f, - -0.923879533f, 0.382683432f, - -0.980785280f, 0.195090322f, - -1.000000000f, 0.000000000f, - -0.980785280f, -0.195090322f, - -0.923879533f, -0.382683432f, - -0.831469612f, -0.555570233f, - -0.707106781f, -0.707106781f, - -0.555570233f, -0.831469612f, - -0.382683432f, -0.923879533f, - -0.195090322f, -0.980785280f, - -0.000000000f, -1.000000000f, - 0.195090322f, -0.980785280f, - 0.382683432f, -0.923879533f, - 0.555570233f, -0.831469612f, - 0.707106781f, -0.707106781f, - 0.831469612f, -0.555570233f, - 0.923879533f, -0.382683432f, - 0.980785280f, -0.195090322f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for(i = 0; i < N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 64, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_64[128] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.995184727f, 0.098017140f, - 0.980785280f, 0.195090322f, - 0.956940336f, 0.290284677f, - 0.923879533f, 0.382683432f, - 0.881921264f, 0.471396737f, - 0.831469612f, 0.555570233f, - 0.773010453f, 0.634393284f, - 0.707106781f, 0.707106781f, - 0.634393284f, 0.773010453f, - 0.555570233f, 0.831469612f, - 0.471396737f, 0.881921264f, - 0.382683432f, 0.923879533f, - 0.290284677f, 0.956940336f, - 0.195090322f, 0.980785280f, - 0.098017140f, 0.995184727f, - 0.000000000f, 1.000000000f, - -0.098017140f, 0.995184727f, - -0.195090322f, 0.980785280f, - -0.290284677f, 0.956940336f, - -0.382683432f, 0.923879533f, - -0.471396737f, 0.881921264f, - -0.555570233f, 0.831469612f, - -0.634393284f, 0.773010453f, - -0.707106781f, 0.707106781f, - -0.773010453f, 0.634393284f, - -0.831469612f, 0.555570233f, - -0.881921264f, 0.471396737f, - -0.923879533f, 0.382683432f, - -0.956940336f, 0.290284677f, - -0.980785280f, 0.195090322f, - -0.995184727f, 0.098017140f, - -1.000000000f, 0.000000000f, - -0.995184727f, -0.098017140f, - -0.980785280f, -0.195090322f, - -0.956940336f, -0.290284677f, - -0.923879533f, -0.382683432f, - -0.881921264f, -0.471396737f, - -0.831469612f, -0.555570233f, - -0.773010453f, -0.634393284f, - -0.707106781f, -0.707106781f, - -0.634393284f, -0.773010453f, - -0.555570233f, -0.831469612f, - -0.471396737f, -0.881921264f, - -0.382683432f, -0.923879533f, - -0.290284677f, -0.956940336f, - -0.195090322f, -0.980785280f, - -0.098017140f, -0.995184727f, - -0.000000000f, -1.000000000f, - 0.098017140f, -0.995184727f, - 0.195090322f, -0.980785280f, - 0.290284677f, -0.956940336f, - 0.382683432f, -0.923879533f, - 0.471396737f, -0.881921264f, - 0.555570233f, -0.831469612f, - 0.634393284f, -0.773010453f, - 0.707106781f, -0.707106781f, - 0.773010453f, -0.634393284f, - 0.831469612f, -0.555570233f, - 0.881921264f, -0.471396737f, - 0.923879533f, -0.382683432f, - 0.956940336f, -0.290284677f, - 0.980785280f, -0.195090322f, - 0.995184727f, -0.098017140f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 128, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_128[256] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.998795456f, 0.049067674f, - 0.995184727f, 0.098017140f, - 0.989176510f, 0.146730474f, - 0.980785280f, 0.195090322f, - 0.970031253f, 0.242980180f, - 0.956940336f, 0.290284677f, - 0.941544065f, 0.336889853f, - 0.923879533f, 0.382683432f, - 0.903989293f, 0.427555093f, - 0.881921264f, 0.471396737f, - 0.857728610f, 0.514102744f, - 0.831469612f, 0.555570233f, - 0.803207531f, 0.595699304f, - 0.773010453f, 0.634393284f, - 0.740951125f, 0.671558955f, - 0.707106781f, 0.707106781f, - 0.671558955f, 0.740951125f, - 0.634393284f, 0.773010453f, - 0.595699304f, 0.803207531f, - 0.555570233f, 0.831469612f, - 0.514102744f, 0.857728610f, - 0.471396737f, 0.881921264f, - 0.427555093f, 0.903989293f, - 0.382683432f, 0.923879533f, - 0.336889853f, 0.941544065f, - 0.290284677f, 0.956940336f, - 0.242980180f, 0.970031253f, - 0.195090322f, 0.980785280f, - 0.146730474f, 0.989176510f, - 0.098017140f, 0.995184727f, - 0.049067674f, 0.998795456f, - 0.000000000f, 1.000000000f, - -0.049067674f, 0.998795456f, - -0.098017140f, 0.995184727f, - -0.146730474f, 0.989176510f, - -0.195090322f, 0.980785280f, - -0.242980180f, 0.970031253f, - -0.290284677f, 0.956940336f, - -0.336889853f, 0.941544065f, - -0.382683432f, 0.923879533f, - -0.427555093f, 0.903989293f, - -0.471396737f, 0.881921264f, - -0.514102744f, 0.857728610f, - -0.555570233f, 0.831469612f, - -0.595699304f, 0.803207531f, - -0.634393284f, 0.773010453f, - -0.671558955f, 0.740951125f, - -0.707106781f, 0.707106781f, - -0.740951125f, 0.671558955f, - -0.773010453f, 0.634393284f, - -0.803207531f, 0.595699304f, - -0.831469612f, 0.555570233f, - -0.857728610f, 0.514102744f, - -0.881921264f, 0.471396737f, - -0.903989293f, 0.427555093f, - -0.923879533f, 0.382683432f, - -0.941544065f, 0.336889853f, - -0.956940336f, 0.290284677f, - -0.970031253f, 0.242980180f, - -0.980785280f, 0.195090322f, - -0.989176510f, 0.146730474f, - -0.995184727f, 0.098017140f, - -0.998795456f, 0.049067674f, - -1.000000000f, 0.000000000f, - -0.998795456f, -0.049067674f, - -0.995184727f, -0.098017140f, - -0.989176510f, -0.146730474f, - -0.980785280f, -0.195090322f, - -0.970031253f, -0.242980180f, - -0.956940336f, -0.290284677f, - -0.941544065f, -0.336889853f, - -0.923879533f, -0.382683432f, - -0.903989293f, -0.427555093f, - -0.881921264f, -0.471396737f, - -0.857728610f, -0.514102744f, - -0.831469612f, -0.555570233f, - -0.803207531f, -0.595699304f, - -0.773010453f, -0.634393284f, - -0.740951125f, -0.671558955f, - -0.707106781f, -0.707106781f, - -0.671558955f, -0.740951125f, - -0.634393284f, -0.773010453f, - -0.595699304f, -0.803207531f, - -0.555570233f, -0.831469612f, - -0.514102744f, -0.857728610f, - -0.471396737f, -0.881921264f, - -0.427555093f, -0.903989293f, - -0.382683432f, -0.923879533f, - -0.336889853f, -0.941544065f, - -0.290284677f, -0.956940336f, - -0.242980180f, -0.970031253f, - -0.195090322f, -0.980785280f, - -0.146730474f, -0.989176510f, - -0.098017140f, -0.995184727f, - -0.049067674f, -0.998795456f, - -0.000000000f, -1.000000000f, - 0.049067674f, -0.998795456f, - 0.098017140f, -0.995184727f, - 0.146730474f, -0.989176510f, - 0.195090322f, -0.980785280f, - 0.242980180f, -0.970031253f, - 0.290284677f, -0.956940336f, - 0.336889853f, -0.941544065f, - 0.382683432f, -0.923879533f, - 0.427555093f, -0.903989293f, - 0.471396737f, -0.881921264f, - 0.514102744f, -0.857728610f, - 0.555570233f, -0.831469612f, - 0.595699304f, -0.803207531f, - 0.634393284f, -0.773010453f, - 0.671558955f, -0.740951125f, - 0.707106781f, -0.707106781f, - 0.740951125f, -0.671558955f, - 0.773010453f, -0.634393284f, - 0.803207531f, -0.595699304f, - 0.831469612f, -0.555570233f, - 0.857728610f, -0.514102744f, - 0.881921264f, -0.471396737f, - 0.903989293f, -0.427555093f, - 0.923879533f, -0.382683432f, - 0.941544065f, -0.336889853f, - 0.956940336f, -0.290284677f, - 0.970031253f, -0.242980180f, - 0.980785280f, -0.195090322f, - 0.989176510f, -0.146730474f, - 0.995184727f, -0.098017140f, - 0.998795456f, -0.049067674f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for(i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 256, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_256[512] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.999698819f, 0.024541229f, - 0.998795456f, 0.049067674f, - 0.997290457f, 0.073564564f, - 0.995184727f, 0.098017140f, - 0.992479535f, 0.122410675f, - 0.989176510f, 0.146730474f, - 0.985277642f, 0.170961889f, - 0.980785280f, 0.195090322f, - 0.975702130f, 0.219101240f, - 0.970031253f, 0.242980180f, - 0.963776066f, 0.266712757f, - 0.956940336f, 0.290284677f, - 0.949528181f, 0.313681740f, - 0.941544065f, 0.336889853f, - 0.932992799f, 0.359895037f, - 0.923879533f, 0.382683432f, - 0.914209756f, 0.405241314f, - 0.903989293f, 0.427555093f, - 0.893224301f, 0.449611330f, - 0.881921264f, 0.471396737f, - 0.870086991f, 0.492898192f, - 0.857728610f, 0.514102744f, - 0.844853565f, 0.534997620f, - 0.831469612f, 0.555570233f, - 0.817584813f, 0.575808191f, - 0.803207531f, 0.595699304f, - 0.788346428f, 0.615231591f, - 0.773010453f, 0.634393284f, - 0.757208847f, 0.653172843f, - 0.740951125f, 0.671558955f, - 0.724247083f, 0.689540545f, - 0.707106781f, 0.707106781f, - 0.689540545f, 0.724247083f, - 0.671558955f, 0.740951125f, - 0.653172843f, 0.757208847f, - 0.634393284f, 0.773010453f, - 0.615231591f, 0.788346428f, - 0.595699304f, 0.803207531f, - 0.575808191f, 0.817584813f, - 0.555570233f, 0.831469612f, - 0.534997620f, 0.844853565f, - 0.514102744f, 0.857728610f, - 0.492898192f, 0.870086991f, - 0.471396737f, 0.881921264f, - 0.449611330f, 0.893224301f, - 0.427555093f, 0.903989293f, - 0.405241314f, 0.914209756f, - 0.382683432f, 0.923879533f, - 0.359895037f, 0.932992799f, - 0.336889853f, 0.941544065f, - 0.313681740f, 0.949528181f, - 0.290284677f, 0.956940336f, - 0.266712757f, 0.963776066f, - 0.242980180f, 0.970031253f, - 0.219101240f, 0.975702130f, - 0.195090322f, 0.980785280f, - 0.170961889f, 0.985277642f, - 0.146730474f, 0.989176510f, - 0.122410675f, 0.992479535f, - 0.098017140f, 0.995184727f, - 0.073564564f, 0.997290457f, - 0.049067674f, 0.998795456f, - 0.024541229f, 0.999698819f, - 0.000000000f, 1.000000000f, - -0.024541229f, 0.999698819f, - -0.049067674f, 0.998795456f, - -0.073564564f, 0.997290457f, - -0.098017140f, 0.995184727f, - -0.122410675f, 0.992479535f, - -0.146730474f, 0.989176510f, - -0.170961889f, 0.985277642f, - -0.195090322f, 0.980785280f, - -0.219101240f, 0.975702130f, - -0.242980180f, 0.970031253f, - -0.266712757f, 0.963776066f, - -0.290284677f, 0.956940336f, - -0.313681740f, 0.949528181f, - -0.336889853f, 0.941544065f, - -0.359895037f, 0.932992799f, - -0.382683432f, 0.923879533f, - -0.405241314f, 0.914209756f, - -0.427555093f, 0.903989293f, - -0.449611330f, 0.893224301f, - -0.471396737f, 0.881921264f, - -0.492898192f, 0.870086991f, - -0.514102744f, 0.857728610f, - -0.534997620f, 0.844853565f, - -0.555570233f, 0.831469612f, - -0.575808191f, 0.817584813f, - -0.595699304f, 0.803207531f, - -0.615231591f, 0.788346428f, - -0.634393284f, 0.773010453f, - -0.653172843f, 0.757208847f, - -0.671558955f, 0.740951125f, - -0.689540545f, 0.724247083f, - -0.707106781f, 0.707106781f, - -0.724247083f, 0.689540545f, - -0.740951125f, 0.671558955f, - -0.757208847f, 0.653172843f, - -0.773010453f, 0.634393284f, - -0.788346428f, 0.615231591f, - -0.803207531f, 0.595699304f, - -0.817584813f, 0.575808191f, - -0.831469612f, 0.555570233f, - -0.844853565f, 0.534997620f, - -0.857728610f, 0.514102744f, - -0.870086991f, 0.492898192f, - -0.881921264f, 0.471396737f, - -0.893224301f, 0.449611330f, - -0.903989293f, 0.427555093f, - -0.914209756f, 0.405241314f, - -0.923879533f, 0.382683432f, - -0.932992799f, 0.359895037f, - -0.941544065f, 0.336889853f, - -0.949528181f, 0.313681740f, - -0.956940336f, 0.290284677f, - -0.963776066f, 0.266712757f, - -0.970031253f, 0.242980180f, - -0.975702130f, 0.219101240f, - -0.980785280f, 0.195090322f, - -0.985277642f, 0.170961889f, - -0.989176510f, 0.146730474f, - -0.992479535f, 0.122410675f, - -0.995184727f, 0.098017140f, - -0.997290457f, 0.073564564f, - -0.998795456f, 0.049067674f, - -0.999698819f, 0.024541229f, - -1.000000000f, 0.000000000f, - -0.999698819f, -0.024541229f, - -0.998795456f, -0.049067674f, - -0.997290457f, -0.073564564f, - -0.995184727f, -0.098017140f, - -0.992479535f, -0.122410675f, - -0.989176510f, -0.146730474f, - -0.985277642f, -0.170961889f, - -0.980785280f, -0.195090322f, - -0.975702130f, -0.219101240f, - -0.970031253f, -0.242980180f, - -0.963776066f, -0.266712757f, - -0.956940336f, -0.290284677f, - -0.949528181f, -0.313681740f, - -0.941544065f, -0.336889853f, - -0.932992799f, -0.359895037f, - -0.923879533f, -0.382683432f, - -0.914209756f, -0.405241314f, - -0.903989293f, -0.427555093f, - -0.893224301f, -0.449611330f, - -0.881921264f, -0.471396737f, - -0.870086991f, -0.492898192f, - -0.857728610f, -0.514102744f, - -0.844853565f, -0.534997620f, - -0.831469612f, -0.555570233f, - -0.817584813f, -0.575808191f, - -0.803207531f, -0.595699304f, - -0.788346428f, -0.615231591f, - -0.773010453f, -0.634393284f, - -0.757208847f, -0.653172843f, - -0.740951125f, -0.671558955f, - -0.724247083f, -0.689540545f, - -0.707106781f, -0.707106781f, - -0.689540545f, -0.724247083f, - -0.671558955f, -0.740951125f, - -0.653172843f, -0.757208847f, - -0.634393284f, -0.773010453f, - -0.615231591f, -0.788346428f, - -0.595699304f, -0.803207531f, - -0.575808191f, -0.817584813f, - -0.555570233f, -0.831469612f, - -0.534997620f, -0.844853565f, - -0.514102744f, -0.857728610f, - -0.492898192f, -0.870086991f, - -0.471396737f, -0.881921264f, - -0.449611330f, -0.893224301f, - -0.427555093f, -0.903989293f, - -0.405241314f, -0.914209756f, - -0.382683432f, -0.923879533f, - -0.359895037f, -0.932992799f, - -0.336889853f, -0.941544065f, - -0.313681740f, -0.949528181f, - -0.290284677f, -0.956940336f, - -0.266712757f, -0.963776066f, - -0.242980180f, -0.970031253f, - -0.219101240f, -0.975702130f, - -0.195090322f, -0.980785280f, - -0.170961889f, -0.985277642f, - -0.146730474f, -0.989176510f, - -0.122410675f, -0.992479535f, - -0.098017140f, -0.995184727f, - -0.073564564f, -0.997290457f, - -0.049067674f, -0.998795456f, - -0.024541229f, -0.999698819f, - -0.000000000f, -1.000000000f, - 0.024541229f, -0.999698819f, - 0.049067674f, -0.998795456f, - 0.073564564f, -0.997290457f, - 0.098017140f, -0.995184727f, - 0.122410675f, -0.992479535f, - 0.146730474f, -0.989176510f, - 0.170961889f, -0.985277642f, - 0.195090322f, -0.980785280f, - 0.219101240f, -0.975702130f, - 0.242980180f, -0.970031253f, - 0.266712757f, -0.963776066f, - 0.290284677f, -0.956940336f, - 0.313681740f, -0.949528181f, - 0.336889853f, -0.941544065f, - 0.359895037f, -0.932992799f, - 0.382683432f, -0.923879533f, - 0.405241314f, -0.914209756f, - 0.427555093f, -0.903989293f, - 0.449611330f, -0.893224301f, - 0.471396737f, -0.881921264f, - 0.492898192f, -0.870086991f, - 0.514102744f, -0.857728610f, - 0.534997620f, -0.844853565f, - 0.555570233f, -0.831469612f, - 0.575808191f, -0.817584813f, - 0.595699304f, -0.803207531f, - 0.615231591f, -0.788346428f, - 0.634393284f, -0.773010453f, - 0.653172843f, -0.757208847f, - 0.671558955f, -0.740951125f, - 0.689540545f, -0.724247083f, - 0.707106781f, -0.707106781f, - 0.724247083f, -0.689540545f, - 0.740951125f, -0.671558955f, - 0.757208847f, -0.653172843f, - 0.773010453f, -0.634393284f, - 0.788346428f, -0.615231591f, - 0.803207531f, -0.595699304f, - 0.817584813f, -0.575808191f, - 0.831469612f, -0.555570233f, - 0.844853565f, -0.534997620f, - 0.857728610f, -0.514102744f, - 0.870086991f, -0.492898192f, - 0.881921264f, -0.471396737f, - 0.893224301f, -0.449611330f, - 0.903989293f, -0.427555093f, - 0.914209756f, -0.405241314f, - 0.923879533f, -0.382683432f, - 0.932992799f, -0.359895037f, - 0.941544065f, -0.336889853f, - 0.949528181f, -0.313681740f, - 0.956940336f, -0.290284677f, - 0.963776066f, -0.266712757f, - 0.970031253f, -0.242980180f, - 0.975702130f, -0.219101240f, - 0.980785280f, -0.195090322f, - 0.985277642f, -0.170961889f, - 0.989176510f, -0.146730474f, - 0.992479535f, -0.122410675f, - 0.995184727f, -0.098017140f, - 0.997290457f, -0.073564564f, - 0.998795456f, -0.049067674f, - 0.999698819f, -0.024541229f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 512, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_512[1024] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.999924702f, 0.012271538f, - 0.999698819f, 0.024541229f, - 0.999322385f, 0.036807223f, - 0.998795456f, 0.049067674f, - 0.998118113f, 0.061320736f, - 0.997290457f, 0.073564564f, - 0.996312612f, 0.085797312f, - 0.995184727f, 0.098017140f, - 0.993906970f, 0.110222207f, - 0.992479535f, 0.122410675f, - 0.990902635f, 0.134580709f, - 0.989176510f, 0.146730474f, - 0.987301418f, 0.158858143f, - 0.985277642f, 0.170961889f, - 0.983105487f, 0.183039888f, - 0.980785280f, 0.195090322f, - 0.978317371f, 0.207111376f, - 0.975702130f, 0.219101240f, - 0.972939952f, 0.231058108f, - 0.970031253f, 0.242980180f, - 0.966976471f, 0.254865660f, - 0.963776066f, 0.266712757f, - 0.960430519f, 0.278519689f, - 0.956940336f, 0.290284677f, - 0.953306040f, 0.302005949f, - 0.949528181f, 0.313681740f, - 0.945607325f, 0.325310292f, - 0.941544065f, 0.336889853f, - 0.937339012f, 0.348418680f, - 0.932992799f, 0.359895037f, - 0.928506080f, 0.371317194f, - 0.923879533f, 0.382683432f, - 0.919113852f, 0.393992040f, - 0.914209756f, 0.405241314f, - 0.909167983f, 0.416429560f, - 0.903989293f, 0.427555093f, - 0.898674466f, 0.438616239f, - 0.893224301f, 0.449611330f, - 0.887639620f, 0.460538711f, - 0.881921264f, 0.471396737f, - 0.876070094f, 0.482183772f, - 0.870086991f, 0.492898192f, - 0.863972856f, 0.503538384f, - 0.857728610f, 0.514102744f, - 0.851355193f, 0.524589683f, - 0.844853565f, 0.534997620f, - 0.838224706f, 0.545324988f, - 0.831469612f, 0.555570233f, - 0.824589303f, 0.565731811f, - 0.817584813f, 0.575808191f, - 0.810457198f, 0.585797857f, - 0.803207531f, 0.595699304f, - 0.795836905f, 0.605511041f, - 0.788346428f, 0.615231591f, - 0.780737229f, 0.624859488f, - 0.773010453f, 0.634393284f, - 0.765167266f, 0.643831543f, - 0.757208847f, 0.653172843f, - 0.749136395f, 0.662415778f, - 0.740951125f, 0.671558955f, - 0.732654272f, 0.680600998f, - 0.724247083f, 0.689540545f, - 0.715730825f, 0.698376249f, - 0.707106781f, 0.707106781f, - 0.698376249f, 0.715730825f, - 0.689540545f, 0.724247083f, - 0.680600998f, 0.732654272f, - 0.671558955f, 0.740951125f, - 0.662415778f, 0.749136395f, - 0.653172843f, 0.757208847f, - 0.643831543f, 0.765167266f, - 0.634393284f, 0.773010453f, - 0.624859488f, 0.780737229f, - 0.615231591f, 0.788346428f, - 0.605511041f, 0.795836905f, - 0.595699304f, 0.803207531f, - 0.585797857f, 0.810457198f, - 0.575808191f, 0.817584813f, - 0.565731811f, 0.824589303f, - 0.555570233f, 0.831469612f, - 0.545324988f, 0.838224706f, - 0.534997620f, 0.844853565f, - 0.524589683f, 0.851355193f, - 0.514102744f, 0.857728610f, - 0.503538384f, 0.863972856f, - 0.492898192f, 0.870086991f, - 0.482183772f, 0.876070094f, - 0.471396737f, 0.881921264f, - 0.460538711f, 0.887639620f, - 0.449611330f, 0.893224301f, - 0.438616239f, 0.898674466f, - 0.427555093f, 0.903989293f, - 0.416429560f, 0.909167983f, - 0.405241314f, 0.914209756f, - 0.393992040f, 0.919113852f, - 0.382683432f, 0.923879533f, - 0.371317194f, 0.928506080f, - 0.359895037f, 0.932992799f, - 0.348418680f, 0.937339012f, - 0.336889853f, 0.941544065f, - 0.325310292f, 0.945607325f, - 0.313681740f, 0.949528181f, - 0.302005949f, 0.953306040f, - 0.290284677f, 0.956940336f, - 0.278519689f, 0.960430519f, - 0.266712757f, 0.963776066f, - 0.254865660f, 0.966976471f, - 0.242980180f, 0.970031253f, - 0.231058108f, 0.972939952f, - 0.219101240f, 0.975702130f, - 0.207111376f, 0.978317371f, - 0.195090322f, 0.980785280f, - 0.183039888f, 0.983105487f, - 0.170961889f, 0.985277642f, - 0.158858143f, 0.987301418f, - 0.146730474f, 0.989176510f, - 0.134580709f, 0.990902635f, - 0.122410675f, 0.992479535f, - 0.110222207f, 0.993906970f, - 0.098017140f, 0.995184727f, - 0.085797312f, 0.996312612f, - 0.073564564f, 0.997290457f, - 0.061320736f, 0.998118113f, - 0.049067674f, 0.998795456f, - 0.036807223f, 0.999322385f, - 0.024541229f, 0.999698819f, - 0.012271538f, 0.999924702f, - 0.000000000f, 1.000000000f, - -0.012271538f, 0.999924702f, - -0.024541229f, 0.999698819f, - -0.036807223f, 0.999322385f, - -0.049067674f, 0.998795456f, - -0.061320736f, 0.998118113f, - -0.073564564f, 0.997290457f, - -0.085797312f, 0.996312612f, - -0.098017140f, 0.995184727f, - -0.110222207f, 0.993906970f, - -0.122410675f, 0.992479535f, - -0.134580709f, 0.990902635f, - -0.146730474f, 0.989176510f, - -0.158858143f, 0.987301418f, - -0.170961889f, 0.985277642f, - -0.183039888f, 0.983105487f, - -0.195090322f, 0.980785280f, - -0.207111376f, 0.978317371f, - -0.219101240f, 0.975702130f, - -0.231058108f, 0.972939952f, - -0.242980180f, 0.970031253f, - -0.254865660f, 0.966976471f, - -0.266712757f, 0.963776066f, - -0.278519689f, 0.960430519f, - -0.290284677f, 0.956940336f, - -0.302005949f, 0.953306040f, - -0.313681740f, 0.949528181f, - -0.325310292f, 0.945607325f, - -0.336889853f, 0.941544065f, - -0.348418680f, 0.937339012f, - -0.359895037f, 0.932992799f, - -0.371317194f, 0.928506080f, - -0.382683432f, 0.923879533f, - -0.393992040f, 0.919113852f, - -0.405241314f, 0.914209756f, - -0.416429560f, 0.909167983f, - -0.427555093f, 0.903989293f, - -0.438616239f, 0.898674466f, - -0.449611330f, 0.893224301f, - -0.460538711f, 0.887639620f, - -0.471396737f, 0.881921264f, - -0.482183772f, 0.876070094f, - -0.492898192f, 0.870086991f, - -0.503538384f, 0.863972856f, - -0.514102744f, 0.857728610f, - -0.524589683f, 0.851355193f, - -0.534997620f, 0.844853565f, - -0.545324988f, 0.838224706f, - -0.555570233f, 0.831469612f, - -0.565731811f, 0.824589303f, - -0.575808191f, 0.817584813f, - -0.585797857f, 0.810457198f, - -0.595699304f, 0.803207531f, - -0.605511041f, 0.795836905f, - -0.615231591f, 0.788346428f, - -0.624859488f, 0.780737229f, - -0.634393284f, 0.773010453f, - -0.643831543f, 0.765167266f, - -0.653172843f, 0.757208847f, - -0.662415778f, 0.749136395f, - -0.671558955f, 0.740951125f, - -0.680600998f, 0.732654272f, - -0.689540545f, 0.724247083f, - -0.698376249f, 0.715730825f, - -0.707106781f, 0.707106781f, - -0.715730825f, 0.698376249f, - -0.724247083f, 0.689540545f, - -0.732654272f, 0.680600998f, - -0.740951125f, 0.671558955f, - -0.749136395f, 0.662415778f, - -0.757208847f, 0.653172843f, - -0.765167266f, 0.643831543f, - -0.773010453f, 0.634393284f, - -0.780737229f, 0.624859488f, - -0.788346428f, 0.615231591f, - -0.795836905f, 0.605511041f, - -0.803207531f, 0.595699304f, - -0.810457198f, 0.585797857f, - -0.817584813f, 0.575808191f, - -0.824589303f, 0.565731811f, - -0.831469612f, 0.555570233f, - -0.838224706f, 0.545324988f, - -0.844853565f, 0.534997620f, - -0.851355193f, 0.524589683f, - -0.857728610f, 0.514102744f, - -0.863972856f, 0.503538384f, - -0.870086991f, 0.492898192f, - -0.876070094f, 0.482183772f, - -0.881921264f, 0.471396737f, - -0.887639620f, 0.460538711f, - -0.893224301f, 0.449611330f, - -0.898674466f, 0.438616239f, - -0.903989293f, 0.427555093f, - -0.909167983f, 0.416429560f, - -0.914209756f, 0.405241314f, - -0.919113852f, 0.393992040f, - -0.923879533f, 0.382683432f, - -0.928506080f, 0.371317194f, - -0.932992799f, 0.359895037f, - -0.937339012f, 0.348418680f, - -0.941544065f, 0.336889853f, - -0.945607325f, 0.325310292f, - -0.949528181f, 0.313681740f, - -0.953306040f, 0.302005949f, - -0.956940336f, 0.290284677f, - -0.960430519f, 0.278519689f, - -0.963776066f, 0.266712757f, - -0.966976471f, 0.254865660f, - -0.970031253f, 0.242980180f, - -0.972939952f, 0.231058108f, - -0.975702130f, 0.219101240f, - -0.978317371f, 0.207111376f, - -0.980785280f, 0.195090322f, - -0.983105487f, 0.183039888f, - -0.985277642f, 0.170961889f, - -0.987301418f, 0.158858143f, - -0.989176510f, 0.146730474f, - -0.990902635f, 0.134580709f, - -0.992479535f, 0.122410675f, - -0.993906970f, 0.110222207f, - -0.995184727f, 0.098017140f, - -0.996312612f, 0.085797312f, - -0.997290457f, 0.073564564f, - -0.998118113f, 0.061320736f, - -0.998795456f, 0.049067674f, - -0.999322385f, 0.036807223f, - -0.999698819f, 0.024541229f, - -0.999924702f, 0.012271538f, - -1.000000000f, 0.000000000f, - -0.999924702f, -0.012271538f, - -0.999698819f, -0.024541229f, - -0.999322385f, -0.036807223f, - -0.998795456f, -0.049067674f, - -0.998118113f, -0.061320736f, - -0.997290457f, -0.073564564f, - -0.996312612f, -0.085797312f, - -0.995184727f, -0.098017140f, - -0.993906970f, -0.110222207f, - -0.992479535f, -0.122410675f, - -0.990902635f, -0.134580709f, - -0.989176510f, -0.146730474f, - -0.987301418f, -0.158858143f, - -0.985277642f, -0.170961889f, - -0.983105487f, -0.183039888f, - -0.980785280f, -0.195090322f, - -0.978317371f, -0.207111376f, - -0.975702130f, -0.219101240f, - -0.972939952f, -0.231058108f, - -0.970031253f, -0.242980180f, - -0.966976471f, -0.254865660f, - -0.963776066f, -0.266712757f, - -0.960430519f, -0.278519689f, - -0.956940336f, -0.290284677f, - -0.953306040f, -0.302005949f, - -0.949528181f, -0.313681740f, - -0.945607325f, -0.325310292f, - -0.941544065f, -0.336889853f, - -0.937339012f, -0.348418680f, - -0.932992799f, -0.359895037f, - -0.928506080f, -0.371317194f, - -0.923879533f, -0.382683432f, - -0.919113852f, -0.393992040f, - -0.914209756f, -0.405241314f, - -0.909167983f, -0.416429560f, - -0.903989293f, -0.427555093f, - -0.898674466f, -0.438616239f, - 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-0.653172843f, -0.757208847f, - -0.643831543f, -0.765167266f, - -0.634393284f, -0.773010453f, - -0.624859488f, -0.780737229f, - -0.615231591f, -0.788346428f, - -0.605511041f, -0.795836905f, - -0.595699304f, -0.803207531f, - -0.585797857f, -0.810457198f, - -0.575808191f, -0.817584813f, - -0.565731811f, -0.824589303f, - -0.555570233f, -0.831469612f, - -0.545324988f, -0.838224706f, - -0.534997620f, -0.844853565f, - -0.524589683f, -0.851355193f, - -0.514102744f, -0.857728610f, - -0.503538384f, -0.863972856f, - -0.492898192f, -0.870086991f, - -0.482183772f, -0.876070094f, - -0.471396737f, -0.881921264f, - -0.460538711f, -0.887639620f, - -0.449611330f, -0.893224301f, - -0.438616239f, -0.898674466f, - -0.427555093f, -0.903989293f, - -0.416429560f, -0.909167983f, - -0.405241314f, -0.914209756f, - -0.393992040f, -0.919113852f, - -0.382683432f, -0.923879533f, - -0.371317194f, -0.928506080f, - -0.359895037f, -0.932992799f, - -0.348418680f, -0.937339012f, - -0.336889853f, -0.941544065f, - -0.325310292f, -0.945607325f, - -0.313681740f, -0.949528181f, - -0.302005949f, -0.953306040f, - -0.290284677f, -0.956940336f, - -0.278519689f, -0.960430519f, - -0.266712757f, -0.963776066f, - -0.254865660f, -0.966976471f, - -0.242980180f, -0.970031253f, - -0.231058108f, -0.972939952f, - -0.219101240f, -0.975702130f, - -0.207111376f, -0.978317371f, - -0.195090322f, -0.980785280f, - -0.183039888f, -0.983105487f, - -0.170961889f, -0.985277642f, - -0.158858143f, -0.987301418f, - -0.146730474f, -0.989176510f, - -0.134580709f, -0.990902635f, - -0.122410675f, -0.992479535f, - -0.110222207f, -0.993906970f, - -0.098017140f, -0.995184727f, - -0.085797312f, -0.996312612f, - -0.073564564f, -0.997290457f, - -0.061320736f, -0.998118113f, - -0.049067674f, -0.998795456f, - -0.036807223f, -0.999322385f, - -0.024541229f, -0.999698819f, - -0.012271538f, -0.999924702f, - -0.000000000f, -1.000000000f, - 0.012271538f, -0.999924702f, - 0.024541229f, -0.999698819f, - 0.036807223f, -0.999322385f, - 0.049067674f, -0.998795456f, - 0.061320736f, -0.998118113f, - 0.073564564f, -0.997290457f, - 0.085797312f, -0.996312612f, - 0.098017140f, -0.995184727f, - 0.110222207f, -0.993906970f, - 0.122410675f, -0.992479535f, - 0.134580709f, -0.990902635f, - 0.146730474f, -0.989176510f, - 0.158858143f, -0.987301418f, - 0.170961889f, -0.985277642f, - 0.183039888f, -0.983105487f, - 0.195090322f, -0.980785280f, - 0.207111376f, -0.978317371f, - 0.219101240f, -0.975702130f, - 0.231058108f, -0.972939952f, - 0.242980180f, -0.970031253f, - 0.254865660f, -0.966976471f, - 0.266712757f, -0.963776066f, - 0.278519689f, -0.960430519f, - 0.290284677f, -0.956940336f, - 0.302005949f, -0.953306040f, - 0.313681740f, -0.949528181f, - 0.325310292f, -0.945607325f, - 0.336889853f, -0.941544065f, - 0.348418680f, -0.937339012f, - 0.359895037f, -0.932992799f, - 0.371317194f, -0.928506080f, - 0.382683432f, -0.923879533f, - 0.393992040f, -0.919113852f, - 0.405241314f, -0.914209756f, - 0.416429560f, -0.909167983f, - 0.427555093f, -0.903989293f, - 0.438616239f, -0.898674466f, - 0.449611330f, -0.893224301f, - 0.460538711f, -0.887639620f, - 0.471396737f, -0.881921264f, - 0.482183772f, -0.876070094f, - 0.492898192f, -0.870086991f, - 0.503538384f, -0.863972856f, - 0.514102744f, -0.857728610f, - 0.524589683f, -0.851355193f, - 0.534997620f, -0.844853565f, - 0.545324988f, -0.838224706f, - 0.555570233f, -0.831469612f, - 0.565731811f, -0.824589303f, - 0.575808191f, -0.817584813f, - 0.585797857f, -0.810457198f, - 0.595699304f, -0.803207531f, - 0.605511041f, -0.795836905f, - 0.615231591f, -0.788346428f, - 0.624859488f, -0.780737229f, - 0.634393284f, -0.773010453f, - 0.643831543f, -0.765167266f, - 0.653172843f, -0.757208847f, - 0.662415778f, -0.749136395f, - 0.671558955f, -0.740951125f, - 0.680600998f, -0.732654272f, - 0.689540545f, -0.724247083f, - 0.698376249f, -0.715730825f, - 0.707106781f, -0.707106781f, - 0.715730825f, -0.698376249f, - 0.724247083f, -0.689540545f, - 0.732654272f, -0.680600998f, - 0.740951125f, -0.671558955f, - 0.749136395f, -0.662415778f, - 0.757208847f, -0.653172843f, - 0.765167266f, -0.643831543f, - 0.773010453f, -0.634393284f, - 0.780737229f, -0.624859488f, - 0.788346428f, -0.615231591f, - 0.795836905f, -0.605511041f, - 0.803207531f, -0.595699304f, - 0.810457198f, -0.585797857f, - 0.817584813f, -0.575808191f, - 0.824589303f, -0.565731811f, - 0.831469612f, -0.555570233f, - 0.838224706f, -0.545324988f, - 0.844853565f, -0.534997620f, - 0.851355193f, -0.524589683f, - 0.857728610f, -0.514102744f, - 0.863972856f, -0.503538384f, - 0.870086991f, -0.492898192f, - 0.876070094f, -0.482183772f, - 0.881921264f, -0.471396737f, - 0.887639620f, -0.460538711f, - 0.893224301f, -0.449611330f, - 0.898674466f, -0.438616239f, - 0.903989293f, -0.427555093f, - 0.909167983f, -0.416429560f, - 0.914209756f, -0.405241314f, - 0.919113852f, -0.393992040f, - 0.923879533f, -0.382683432f, - 0.928506080f, -0.371317194f, - 0.932992799f, -0.359895037f, - 0.937339012f, -0.348418680f, - 0.941544065f, -0.336889853f, - 0.945607325f, -0.325310292f, - 0.949528181f, -0.313681740f, - 0.953306040f, -0.302005949f, - 0.956940336f, -0.290284677f, - 0.960430519f, -0.278519689f, - 0.963776066f, -0.266712757f, - 0.966976471f, -0.254865660f, - 0.970031253f, -0.242980180f, - 0.972939952f, -0.231058108f, - 0.975702130f, -0.219101240f, - 0.978317371f, -0.207111376f, - 0.980785280f, -0.195090322f, - 0.983105487f, -0.183039888f, - 0.985277642f, -0.170961889f, - 0.987301418f, -0.158858143f, - 0.989176510f, -0.146730474f, - 0.990902635f, -0.134580709f, - 0.992479535f, -0.122410675f, - 0.993906970f, -0.110222207f, - 0.995184727f, -0.098017140f, - 0.996312612f, -0.085797312f, - 0.997290457f, -0.073564564f, - 0.998118113f, -0.061320736f, - 0.998795456f, -0.049067674f, - 0.999322385f, -0.036807223f, - 0.999698819f, -0.024541229f, - 0.999924702f, -0.012271538f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 1024, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_1024[2048] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.999981175f, 0.006135885f, - 0.999924702f, 0.012271538f, - 0.999830582f, 0.018406730f, - 0.999698819f, 0.024541229f, - 0.999529418f, 0.030674803f, - 0.999322385f, 0.036807223f, - 0.999077728f, 0.042938257f, - 0.998795456f, 0.049067674f, - 0.998475581f, 0.055195244f, - 0.998118113f, 0.061320736f, - 0.997723067f, 0.067443920f, - 0.997290457f, 0.073564564f, - 0.996820299f, 0.079682438f, - 0.996312612f, 0.085797312f, - 0.995767414f, 0.091908956f, - 0.995184727f, 0.098017140f, - 0.994564571f, 0.104121634f, - 0.993906970f, 0.110222207f, - 0.993211949f, 0.116318631f, - 0.992479535f, 0.122410675f, - 0.991709754f, 0.128498111f, - 0.990902635f, 0.134580709f, - 0.990058210f, 0.140658239f, - 0.989176510f, 0.146730474f, - 0.988257568f, 0.152797185f, - 0.987301418f, 0.158858143f, - 0.986308097f, 0.164913120f, - 0.985277642f, 0.170961889f, - 0.984210092f, 0.177004220f, - 0.983105487f, 0.183039888f, - 0.981963869f, 0.189068664f, - 0.980785280f, 0.195090322f, - 0.979569766f, 0.201104635f, - 0.978317371f, 0.207111376f, - 0.977028143f, 0.213110320f, - 0.975702130f, 0.219101240f, - 0.974339383f, 0.225083911f, - 0.972939952f, 0.231058108f, - 0.971503891f, 0.237023606f, - 0.970031253f, 0.242980180f, - 0.968522094f, 0.248927606f, - 0.966976471f, 0.254865660f, - 0.965394442f, 0.260794118f, - 0.963776066f, 0.266712757f, - 0.962121404f, 0.272621355f, - 0.960430519f, 0.278519689f, - 0.958703475f, 0.284407537f, - 0.956940336f, 0.290284677f, - 0.955141168f, 0.296150888f, - 0.953306040f, 0.302005949f, - 0.951435021f, 0.307849640f, - 0.949528181f, 0.313681740f, - 0.947585591f, 0.319502031f, - 0.945607325f, 0.325310292f, - 0.943593458f, 0.331106306f, - 0.941544065f, 0.336889853f, - 0.939459224f, 0.342660717f, - 0.937339012f, 0.348418680f, - 0.935183510f, 0.354163525f, - 0.932992799f, 0.359895037f, - 0.930766961f, 0.365612998f, - 0.928506080f, 0.371317194f, - 0.926210242f, 0.377007410f, - 0.923879533f, 0.382683432f, - 0.921514039f, 0.388345047f, - 0.919113852f, 0.393992040f, - 0.916679060f, 0.399624200f, - 0.914209756f, 0.405241314f, - 0.911706032f, 0.410843171f, - 0.909167983f, 0.416429560f, - 0.906595705f, 0.422000271f, - 0.903989293f, 0.427555093f, - 0.901348847f, 0.433093819f, - 0.898674466f, 0.438616239f, - 0.895966250f, 0.444122145f, - 0.893224301f, 0.449611330f, - 0.890448723f, 0.455083587f, - 0.887639620f, 0.460538711f, - 0.884797098f, 0.465976496f, - 0.881921264f, 0.471396737f, - 0.879012226f, 0.476799230f, - 0.876070094f, 0.482183772f, - 0.873094978f, 0.487550160f, - 0.870086991f, 0.492898192f, - 0.867046246f, 0.498227667f, - 0.863972856f, 0.503538384f, - 0.860866939f, 0.508830143f, - 0.857728610f, 0.514102744f, - 0.854557988f, 0.519355990f, - 0.851355193f, 0.524589683f, - 0.848120345f, 0.529803625f, - 0.844853565f, 0.534997620f, - 0.841554977f, 0.540171473f, - 0.838224706f, 0.545324988f, - 0.834862875f, 0.550457973f, - 0.831469612f, 0.555570233f, - 0.828045045f, 0.560661576f, - 0.824589303f, 0.565731811f, - 0.821102515f, 0.570780746f, - 0.817584813f, 0.575808191f, - 0.814036330f, 0.580813958f, - 0.810457198f, 0.585797857f, - 0.806847554f, 0.590759702f, - 0.803207531f, 0.595699304f, - 0.799537269f, 0.600616479f, - 0.795836905f, 0.605511041f, - 0.792106577f, 0.610382806f, - 0.788346428f, 0.615231591f, - 0.784556597f, 0.620057212f, - 0.780737229f, 0.624859488f, - 0.776888466f, 0.629638239f, - 0.773010453f, 0.634393284f, - 0.769103338f, 0.639124445f, - 0.765167266f, 0.643831543f, - 0.761202385f, 0.648514401f, - 0.757208847f, 0.653172843f, - 0.753186799f, 0.657806693f, - 0.749136395f, 0.662415778f, - 0.745057785f, 0.666999922f, - 0.740951125f, 0.671558955f, - 0.736816569f, 0.676092704f, - 0.732654272f, 0.680600998f, - 0.728464390f, 0.685083668f, - 0.724247083f, 0.689540545f, - 0.720002508f, 0.693971461f, - 0.715730825f, 0.698376249f, - 0.711432196f, 0.702754744f, - 0.707106781f, 0.707106781f, - 0.702754744f, 0.711432196f, - 0.698376249f, 0.715730825f, - 0.693971461f, 0.720002508f, - 0.689540545f, 0.724247083f, - 0.685083668f, 0.728464390f, - 0.680600998f, 0.732654272f, - 0.676092704f, 0.736816569f, - 0.671558955f, 0.740951125f, - 0.666999922f, 0.745057785f, - 0.662415778f, 0.749136395f, - 0.657806693f, 0.753186799f, - 0.653172843f, 0.757208847f, - 0.648514401f, 0.761202385f, - 0.643831543f, 0.765167266f, - 0.639124445f, 0.769103338f, - 0.634393284f, 0.773010453f, - 0.629638239f, 0.776888466f, - 0.624859488f, 0.780737229f, - 0.620057212f, 0.784556597f, - 0.615231591f, 0.788346428f, - 0.610382806f, 0.792106577f, - 0.605511041f, 0.795836905f, - 0.600616479f, 0.799537269f, - 0.595699304f, 0.803207531f, - 0.590759702f, 0.806847554f, - 0.585797857f, 0.810457198f, - 0.580813958f, 0.814036330f, - 0.575808191f, 0.817584813f, - 0.570780746f, 0.821102515f, - 0.565731811f, 0.824589303f, - 0.560661576f, 0.828045045f, - 0.555570233f, 0.831469612f, - 0.550457973f, 0.834862875f, - 0.545324988f, 0.838224706f, - 0.540171473f, 0.841554977f, - 0.534997620f, 0.844853565f, - 0.529803625f, 0.848120345f, - 0.524589683f, 0.851355193f, - 0.519355990f, 0.854557988f, - 0.514102744f, 0.857728610f, - 0.508830143f, 0.860866939f, - 0.503538384f, 0.863972856f, - 0.498227667f, 0.867046246f, - 0.492898192f, 0.870086991f, - 0.487550160f, 0.873094978f, - 0.482183772f, 0.876070094f, - 0.476799230f, 0.879012226f, - 0.471396737f, 0.881921264f, - 0.465976496f, 0.884797098f, - 0.460538711f, 0.887639620f, - 0.455083587f, 0.890448723f, - 0.449611330f, 0.893224301f, - 0.444122145f, 0.895966250f, - 0.438616239f, 0.898674466f, - 0.433093819f, 0.901348847f, - 0.427555093f, 0.903989293f, - 0.422000271f, 0.906595705f, - 0.416429560f, 0.909167983f, - 0.410843171f, 0.911706032f, - 0.405241314f, 0.914209756f, - 0.399624200f, 0.916679060f, - 0.393992040f, 0.919113852f, - 0.388345047f, 0.921514039f, - 0.382683432f, 0.923879533f, - 0.377007410f, 0.926210242f, - 0.371317194f, 0.928506080f, - 0.365612998f, 0.930766961f, - 0.359895037f, 0.932992799f, - 0.354163525f, 0.935183510f, - 0.348418680f, 0.937339012f, - 0.342660717f, 0.939459224f, - 0.336889853f, 0.941544065f, - 0.331106306f, 0.943593458f, - 0.325310292f, 0.945607325f, - 0.319502031f, 0.947585591f, - 0.313681740f, 0.949528181f, - 0.307849640f, 0.951435021f, - 0.302005949f, 0.953306040f, - 0.296150888f, 0.955141168f, - 0.290284677f, 0.956940336f, - 0.284407537f, 0.958703475f, - 0.278519689f, 0.960430519f, - 0.272621355f, 0.962121404f, - 0.266712757f, 0.963776066f, - 0.260794118f, 0.965394442f, - 0.254865660f, 0.966976471f, - 0.248927606f, 0.968522094f, - 0.242980180f, 0.970031253f, - 0.237023606f, 0.971503891f, - 0.231058108f, 0.972939952f, - 0.225083911f, 0.974339383f, - 0.219101240f, 0.975702130f, - 0.213110320f, 0.977028143f, - 0.207111376f, 0.978317371f, - 0.201104635f, 0.979569766f, - 0.195090322f, 0.980785280f, - 0.189068664f, 0.981963869f, - 0.183039888f, 0.983105487f, - 0.177004220f, 0.984210092f, - 0.170961889f, 0.985277642f, - 0.164913120f, 0.986308097f, - 0.158858143f, 0.987301418f, - 0.152797185f, 0.988257568f, - 0.146730474f, 0.989176510f, - 0.140658239f, 0.990058210f, - 0.134580709f, 0.990902635f, - 0.128498111f, 0.991709754f, - 0.122410675f, 0.992479535f, - 0.116318631f, 0.993211949f, - 0.110222207f, 0.993906970f, - 0.104121634f, 0.994564571f, - 0.098017140f, 0.995184727f, - 0.091908956f, 0.995767414f, - 0.085797312f, 0.996312612f, - 0.079682438f, 0.996820299f, - 0.073564564f, 0.997290457f, - 0.067443920f, 0.997723067f, - 0.061320736f, 0.998118113f, - 0.055195244f, 0.998475581f, - 0.049067674f, 0.998795456f, - 0.042938257f, 0.999077728f, - 0.036807223f, 0.999322385f, - 0.030674803f, 0.999529418f, - 0.024541229f, 0.999698819f, - 0.018406730f, 0.999830582f, - 0.012271538f, 0.999924702f, - 0.006135885f, 0.999981175f, - 0.000000000f, 1.000000000f, - -0.006135885f, 0.999981175f, - -0.012271538f, 0.999924702f, - -0.018406730f, 0.999830582f, - -0.024541229f, 0.999698819f, - -0.030674803f, 0.999529418f, - -0.036807223f, 0.999322385f, - -0.042938257f, 0.999077728f, - -0.049067674f, 0.998795456f, - -0.055195244f, 0.998475581f, - -0.061320736f, 0.998118113f, - -0.067443920f, 0.997723067f, - -0.073564564f, 0.997290457f, - -0.079682438f, 0.996820299f, - -0.085797312f, 0.996312612f, - -0.091908956f, 0.995767414f, - -0.098017140f, 0.995184727f, - -0.104121634f, 0.994564571f, - -0.110222207f, 0.993906970f, - -0.116318631f, 0.993211949f, - -0.122410675f, 0.992479535f, - -0.128498111f, 0.991709754f, - -0.134580709f, 0.990902635f, - -0.140658239f, 0.990058210f, - -0.146730474f, 0.989176510f, - -0.152797185f, 0.988257568f, - -0.158858143f, 0.987301418f, - -0.164913120f, 0.986308097f, - -0.170961889f, 0.985277642f, - -0.177004220f, 0.984210092f, - -0.183039888f, 0.983105487f, - -0.189068664f, 0.981963869f, - -0.195090322f, 0.980785280f, - -0.201104635f, 0.979569766f, - -0.207111376f, 0.978317371f, - -0.213110320f, 0.977028143f, - -0.219101240f, 0.975702130f, - -0.225083911f, 0.974339383f, - -0.231058108f, 0.972939952f, - -0.237023606f, 0.971503891f, - -0.242980180f, 0.970031253f, - -0.248927606f, 0.968522094f, - -0.254865660f, 0.966976471f, - -0.260794118f, 0.965394442f, - -0.266712757f, 0.963776066f, - -0.272621355f, 0.962121404f, - -0.278519689f, 0.960430519f, - -0.284407537f, 0.958703475f, - -0.290284677f, 0.956940336f, - -0.296150888f, 0.955141168f, - -0.302005949f, 0.953306040f, - -0.307849640f, 0.951435021f, - -0.313681740f, 0.949528181f, - -0.319502031f, 0.947585591f, - -0.325310292f, 0.945607325f, - -0.331106306f, 0.943593458f, - -0.336889853f, 0.941544065f, - -0.342660717f, 0.939459224f, - -0.348418680f, 0.937339012f, - -0.354163525f, 0.935183510f, - -0.359895037f, 0.932992799f, - -0.365612998f, 0.930766961f, - -0.371317194f, 0.928506080f, - -0.377007410f, 0.926210242f, - -0.382683432f, 0.923879533f, - -0.388345047f, 0.921514039f, - -0.393992040f, 0.919113852f, - -0.399624200f, 0.916679060f, - -0.405241314f, 0.914209756f, - -0.410843171f, 0.911706032f, - -0.416429560f, 0.909167983f, - -0.422000271f, 0.906595705f, - -0.427555093f, 0.903989293f, - -0.433093819f, 0.901348847f, - -0.438616239f, 0.898674466f, - -0.444122145f, 0.895966250f, - -0.449611330f, 0.893224301f, - -0.455083587f, 0.890448723f, - -0.460538711f, 0.887639620f, - -0.465976496f, 0.884797098f, - -0.471396737f, 0.881921264f, - -0.476799230f, 0.879012226f, - -0.482183772f, 0.876070094f, - -0.487550160f, 0.873094978f, - -0.492898192f, 0.870086991f, - -0.498227667f, 0.867046246f, - -0.503538384f, 0.863972856f, - -0.508830143f, 0.860866939f, - -0.514102744f, 0.857728610f, - -0.519355990f, 0.854557988f, - -0.524589683f, 0.851355193f, - -0.529803625f, 0.848120345f, - -0.534997620f, 0.844853565f, - -0.540171473f, 0.841554977f, - -0.545324988f, 0.838224706f, - -0.550457973f, 0.834862875f, - -0.555570233f, 0.831469612f, - -0.560661576f, 0.828045045f, - -0.565731811f, 0.824589303f, - -0.570780746f, 0.821102515f, - -0.575808191f, 0.817584813f, - -0.580813958f, 0.814036330f, - -0.585797857f, 0.810457198f, - -0.590759702f, 0.806847554f, - -0.595699304f, 0.803207531f, - -0.600616479f, 0.799537269f, - -0.605511041f, 0.795836905f, - -0.610382806f, 0.792106577f, - -0.615231591f, 0.788346428f, - -0.620057212f, 0.784556597f, - -0.624859488f, 0.780737229f, - -0.629638239f, 0.776888466f, - -0.634393284f, 0.773010453f, - -0.639124445f, 0.769103338f, - -0.643831543f, 0.765167266f, - -0.648514401f, 0.761202385f, - -0.653172843f, 0.757208847f, - -0.657806693f, 0.753186799f, - -0.662415778f, 0.749136395f, - -0.666999922f, 0.745057785f, - -0.671558955f, 0.740951125f, - -0.676092704f, 0.736816569f, - -0.680600998f, 0.732654272f, - -0.685083668f, 0.728464390f, - -0.689540545f, 0.724247083f, - -0.693971461f, 0.720002508f, - -0.698376249f, 0.715730825f, - -0.702754744f, 0.711432196f, - -0.707106781f, 0.707106781f, - -0.711432196f, 0.702754744f, - -0.715730825f, 0.698376249f, - -0.720002508f, 0.693971461f, - -0.724247083f, 0.689540545f, - -0.728464390f, 0.685083668f, - -0.732654272f, 0.680600998f, - -0.736816569f, 0.676092704f, - -0.740951125f, 0.671558955f, - -0.745057785f, 0.666999922f, - -0.749136395f, 0.662415778f, - -0.753186799f, 0.657806693f, - -0.757208847f, 0.653172843f, - -0.761202385f, 0.648514401f, - 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0.302005949f, -0.953306040f, - 0.307849640f, -0.951435021f, - 0.313681740f, -0.949528181f, - 0.319502031f, -0.947585591f, - 0.325310292f, -0.945607325f, - 0.331106306f, -0.943593458f, - 0.336889853f, -0.941544065f, - 0.342660717f, -0.939459224f, - 0.348418680f, -0.937339012f, - 0.354163525f, -0.935183510f, - 0.359895037f, -0.932992799f, - 0.365612998f, -0.930766961f, - 0.371317194f, -0.928506080f, - 0.377007410f, -0.926210242f, - 0.382683432f, -0.923879533f, - 0.388345047f, -0.921514039f, - 0.393992040f, -0.919113852f, - 0.399624200f, -0.916679060f, - 0.405241314f, -0.914209756f, - 0.410843171f, -0.911706032f, - 0.416429560f, -0.909167983f, - 0.422000271f, -0.906595705f, - 0.427555093f, -0.903989293f, - 0.433093819f, -0.901348847f, - 0.438616239f, -0.898674466f, - 0.444122145f, -0.895966250f, - 0.449611330f, -0.893224301f, - 0.455083587f, -0.890448723f, - 0.460538711f, -0.887639620f, - 0.465976496f, -0.884797098f, - 0.471396737f, -0.881921264f, - 0.476799230f, -0.879012226f, - 0.482183772f, -0.876070094f, - 0.487550160f, -0.873094978f, - 0.492898192f, -0.870086991f, - 0.498227667f, -0.867046246f, - 0.503538384f, -0.863972856f, - 0.508830143f, -0.860866939f, - 0.514102744f, -0.857728610f, - 0.519355990f, -0.854557988f, - 0.524589683f, -0.851355193f, - 0.529803625f, -0.848120345f, - 0.534997620f, -0.844853565f, - 0.540171473f, -0.841554977f, - 0.545324988f, -0.838224706f, - 0.550457973f, -0.834862875f, - 0.555570233f, -0.831469612f, - 0.560661576f, -0.828045045f, - 0.565731811f, -0.824589303f, - 0.570780746f, -0.821102515f, - 0.575808191f, -0.817584813f, - 0.580813958f, -0.814036330f, - 0.585797857f, -0.810457198f, - 0.590759702f, -0.806847554f, - 0.595699304f, -0.803207531f, - 0.600616479f, -0.799537269f, - 0.605511041f, -0.795836905f, - 0.610382806f, -0.792106577f, - 0.615231591f, -0.788346428f, - 0.620057212f, -0.784556597f, - 0.624859488f, -0.780737229f, - 0.629638239f, -0.776888466f, - 0.634393284f, -0.773010453f, - 0.639124445f, -0.769103338f, - 0.643831543f, -0.765167266f, - 0.648514401f, -0.761202385f, - 0.653172843f, -0.757208847f, - 0.657806693f, -0.753186799f, - 0.662415778f, -0.749136395f, - 0.666999922f, -0.745057785f, - 0.671558955f, -0.740951125f, - 0.676092704f, -0.736816569f, - 0.680600998f, -0.732654272f, - 0.685083668f, -0.728464390f, - 0.689540545f, -0.724247083f, - 0.693971461f, -0.720002508f, - 0.698376249f, -0.715730825f, - 0.702754744f, -0.711432196f, - 0.707106781f, -0.707106781f, - 0.711432196f, -0.702754744f, - 0.715730825f, -0.698376249f, - 0.720002508f, -0.693971461f, - 0.724247083f, -0.689540545f, - 0.728464390f, -0.685083668f, - 0.732654272f, -0.680600998f, - 0.736816569f, -0.676092704f, - 0.740951125f, -0.671558955f, - 0.745057785f, -0.666999922f, - 0.749136395f, -0.662415778f, - 0.753186799f, -0.657806693f, - 0.757208847f, -0.653172843f, - 0.761202385f, -0.648514401f, - 0.765167266f, -0.643831543f, - 0.769103338f, -0.639124445f, - 0.773010453f, -0.634393284f, - 0.776888466f, -0.629638239f, - 0.780737229f, -0.624859488f, - 0.784556597f, -0.620057212f, - 0.788346428f, -0.615231591f, - 0.792106577f, -0.610382806f, - 0.795836905f, -0.605511041f, - 0.799537269f, -0.600616479f, - 0.803207531f, -0.595699304f, - 0.806847554f, -0.590759702f, - 0.810457198f, -0.585797857f, - 0.814036330f, -0.580813958f, - 0.817584813f, -0.575808191f, - 0.821102515f, -0.570780746f, - 0.824589303f, -0.565731811f, - 0.828045045f, -0.560661576f, - 0.831469612f, -0.555570233f, - 0.834862875f, -0.550457973f, - 0.838224706f, -0.545324988f, - 0.841554977f, -0.540171473f, - 0.844853565f, -0.534997620f, - 0.848120345f, -0.529803625f, - 0.851355193f, -0.524589683f, - 0.854557988f, -0.519355990f, - 0.857728610f, -0.514102744f, - 0.860866939f, -0.508830143f, - 0.863972856f, -0.503538384f, - 0.867046246f, -0.498227667f, - 0.870086991f, -0.492898192f, - 0.873094978f, -0.487550160f, - 0.876070094f, -0.482183772f, - 0.879012226f, -0.476799230f, - 0.881921264f, -0.471396737f, - 0.884797098f, -0.465976496f, - 0.887639620f, -0.460538711f, - 0.890448723f, -0.455083587f, - 0.893224301f, -0.449611330f, - 0.895966250f, -0.444122145f, - 0.898674466f, -0.438616239f, - 0.901348847f, -0.433093819f, - 0.903989293f, -0.427555093f, - 0.906595705f, -0.422000271f, - 0.909167983f, -0.416429560f, - 0.911706032f, -0.410843171f, - 0.914209756f, -0.405241314f, - 0.916679060f, -0.399624200f, - 0.919113852f, -0.393992040f, - 0.921514039f, -0.388345047f, - 0.923879533f, -0.382683432f, - 0.926210242f, -0.377007410f, - 0.928506080f, -0.371317194f, - 0.930766961f, -0.365612998f, - 0.932992799f, -0.359895037f, - 0.935183510f, -0.354163525f, - 0.937339012f, -0.348418680f, - 0.939459224f, -0.342660717f, - 0.941544065f, -0.336889853f, - 0.943593458f, -0.331106306f, - 0.945607325f, -0.325310292f, - 0.947585591f, -0.319502031f, - 0.949528181f, -0.313681740f, - 0.951435021f, -0.307849640f, - 0.953306040f, -0.302005949f, - 0.955141168f, -0.296150888f, - 0.956940336f, -0.290284677f, - 0.958703475f, -0.284407537f, - 0.960430519f, -0.278519689f, - 0.962121404f, -0.272621355f, - 0.963776066f, -0.266712757f, - 0.965394442f, -0.260794118f, - 0.966976471f, -0.254865660f, - 0.968522094f, -0.248927606f, - 0.970031253f, -0.242980180f, - 0.971503891f, -0.237023606f, - 0.972939952f, -0.231058108f, - 0.974339383f, -0.225083911f, - 0.975702130f, -0.219101240f, - 0.977028143f, -0.213110320f, - 0.978317371f, -0.207111376f, - 0.979569766f, -0.201104635f, - 0.980785280f, -0.195090322f, - 0.981963869f, -0.189068664f, - 0.983105487f, -0.183039888f, - 0.984210092f, -0.177004220f, - 0.985277642f, -0.170961889f, - 0.986308097f, -0.164913120f, - 0.987301418f, -0.158858143f, - 0.988257568f, -0.152797185f, - 0.989176510f, -0.146730474f, - 0.990058210f, -0.140658239f, - 0.990902635f, -0.134580709f, - 0.991709754f, -0.128498111f, - 0.992479535f, -0.122410675f, - 0.993211949f, -0.116318631f, - 0.993906970f, -0.110222207f, - 0.994564571f, -0.104121634f, - 0.995184727f, -0.098017140f, - 0.995767414f, -0.091908956f, - 0.996312612f, -0.085797312f, - 0.996820299f, -0.079682438f, - 0.997290457f, -0.073564564f, - 0.997723067f, -0.067443920f, - 0.998118113f, -0.061320736f, - 0.998475581f, -0.055195244f, - 0.998795456f, -0.049067674f, - 0.999077728f, -0.042938257f, - 0.999322385f, -0.036807223f, - 0.999529418f, -0.030674803f, - 0.999698819f, -0.024541229f, - 0.999830582f, -0.018406730f, - 0.999924702f, -0.012271538f, - 0.999981175f, -0.006135885f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 2048, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_2048[4096] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.999995294f, 0.003067957f, - 0.999981175f, 0.006135885f, - 0.999957645f, 0.009203755f, - 0.999924702f, 0.012271538f, - 0.999882347f, 0.015339206f, - 0.999830582f, 0.018406730f, - 0.999769405f, 0.021474080f, - 0.999698819f, 0.024541229f, - 0.999618822f, 0.027608146f, - 0.999529418f, 0.030674803f, - 0.999430605f, 0.033741172f, - 0.999322385f, 0.036807223f, - 0.999204759f, 0.039872928f, - 0.999077728f, 0.042938257f, - 0.998941293f, 0.046003182f, - 0.998795456f, 0.049067674f, - 0.998640218f, 0.052131705f, - 0.998475581f, 0.055195244f, - 0.998301545f, 0.058258265f, - 0.998118113f, 0.061320736f, - 0.997925286f, 0.064382631f, - 0.997723067f, 0.067443920f, - 0.997511456f, 0.070504573f, - 0.997290457f, 0.073564564f, - 0.997060070f, 0.076623861f, - 0.996820299f, 0.079682438f, - 0.996571146f, 0.082740265f, - 0.996312612f, 0.085797312f, - 0.996044701f, 0.088853553f, - 0.995767414f, 0.091908956f, - 0.995480755f, 0.094963495f, - 0.995184727f, 0.098017140f, - 0.994879331f, 0.101069863f, - 0.994564571f, 0.104121634f, - 0.994240449f, 0.107172425f, - 0.993906970f, 0.110222207f, - 0.993564136f, 0.113270952f, - 0.993211949f, 0.116318631f, - 0.992850414f, 0.119365215f, - 0.992479535f, 0.122410675f, - 0.992099313f, 0.125454983f, - 0.991709754f, 0.128498111f, - 0.991310860f, 0.131540029f, - 0.990902635f, 0.134580709f, - 0.990485084f, 0.137620122f, - 0.990058210f, 0.140658239f, - 0.989622017f, 0.143695033f, - 0.989176510f, 0.146730474f, - 0.988721692f, 0.149764535f, - 0.988257568f, 0.152797185f, - 0.987784142f, 0.155828398f, - 0.987301418f, 0.158858143f, - 0.986809402f, 0.161886394f, - 0.986308097f, 0.164913120f, - 0.985797509f, 0.167938295f, - 0.985277642f, 0.170961889f, - 0.984748502f, 0.173983873f, - 0.984210092f, 0.177004220f, - 0.983662419f, 0.180022901f, - 0.983105487f, 0.183039888f, - 0.982539302f, 0.186055152f, - 0.981963869f, 0.189068664f, - 0.981379193f, 0.192080397f, - 0.980785280f, 0.195090322f, - 0.980182136f, 0.198098411f, - 0.979569766f, 0.201104635f, - 0.978948175f, 0.204108966f, - 0.978317371f, 0.207111376f, - 0.977677358f, 0.210111837f, - 0.977028143f, 0.213110320f, - 0.976369731f, 0.216106797f, - 0.975702130f, 0.219101240f, - 0.975025345f, 0.222093621f, - 0.974339383f, 0.225083911f, - 0.973644250f, 0.228072083f, - 0.972939952f, 0.231058108f, - 0.972226497f, 0.234041959f, - 0.971503891f, 0.237023606f, - 0.970772141f, 0.240003022f, - 0.970031253f, 0.242980180f, - 0.969281235f, 0.245955050f, - 0.968522094f, 0.248927606f, - 0.967753837f, 0.251897818f, - 0.966976471f, 0.254865660f, - 0.966190003f, 0.257831102f, - 0.965394442f, 0.260794118f, - 0.964589793f, 0.263754679f, - 0.963776066f, 0.266712757f, - 0.962953267f, 0.269668326f, - 0.962121404f, 0.272621355f, - 0.961280486f, 0.275571819f, - 0.960430519f, 0.278519689f, - 0.959571513f, 0.281464938f, - 0.958703475f, 0.284407537f, - 0.957826413f, 0.287347460f, - 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0.991709754f, -0.128498111f, - 0.992099313f, -0.125454983f, - 0.992479535f, -0.122410675f, - 0.992850414f, -0.119365215f, - 0.993211949f, -0.116318631f, - 0.993564136f, -0.113270952f, - 0.993906970f, -0.110222207f, - 0.994240449f, -0.107172425f, - 0.994564571f, -0.104121634f, - 0.994879331f, -0.101069863f, - 0.995184727f, -0.098017140f, - 0.995480755f, -0.094963495f, - 0.995767414f, -0.091908956f, - 0.996044701f, -0.088853553f, - 0.996312612f, -0.085797312f, - 0.996571146f, -0.082740265f, - 0.996820299f, -0.079682438f, - 0.997060070f, -0.076623861f, - 0.997290457f, -0.073564564f, - 0.997511456f, -0.070504573f, - 0.997723067f, -0.067443920f, - 0.997925286f, -0.064382631f, - 0.998118113f, -0.061320736f, - 0.998301545f, -0.058258265f, - 0.998475581f, -0.055195244f, - 0.998640218f, -0.052131705f, - 0.998795456f, -0.049067674f, - 0.998941293f, -0.046003182f, - 0.999077728f, -0.042938257f, - 0.999204759f, -0.039872928f, - 0.999322385f, -0.036807223f, - 0.999430605f, -0.033741172f, - 0.999529418f, -0.030674803f, - 0.999618822f, -0.027608146f, - 0.999698819f, -0.024541229f, - 0.999769405f, -0.021474080f, - 0.999830582f, -0.018406730f, - 0.999882347f, -0.015339206f, - 0.999924702f, -0.012271538f, - 0.999957645f, -0.009203755f, - 0.999981175f, -0.006135885f, - 0.999995294f, -0.003067957f -}; - -/** - @par - Example code for Floating-point Twiddle factors Generation: - @par - 
for (i = 0; i< N/; i++)
-  {
- 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
- 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 4096, PI = 3.14159265358979 - @par - Cos and Sin values are in interleaved fashion -*/ -const float32_t twiddleCoef_4096[8192] ARM_DSP_TABLE_ATTRIBUTE = { - 1.000000000f, 0.000000000f, - 0.999998823f, 0.001533980f, - 0.999995294f, 0.003067957f, - 0.999989411f, 0.004601926f, - 0.999981175f, 0.006135885f, - 0.999970586f, 0.007669829f, - 0.999957645f, 0.009203755f, - 0.999942350f, 0.010737659f, - 0.999924702f, 0.012271538f, - 0.999904701f, 0.013805389f, - 0.999882347f, 0.015339206f, - 0.999857641f, 0.016872988f, - 0.999830582f, 0.018406730f, - 0.999801170f, 0.019940429f, - 0.999769405f, 0.021474080f, - 0.999735288f, 0.023007681f, - 0.999698819f, 0.024541229f, - 0.999659997f, 0.026074718f, - 0.999618822f, 0.027608146f, - 0.999575296f, 0.029141509f, - 0.999529418f, 0.030674803f, - 0.999481187f, 0.032208025f, - 0.999430605f, 0.033741172f, - 0.999377670f, 0.035274239f, - 0.999322385f, 0.036807223f, - 0.999264747f, 0.038340120f, - 0.999204759f, 0.039872928f, - 0.999142419f, 0.041405641f, - 0.999077728f, 0.042938257f, - 0.999010686f, 0.044470772f, - 0.998941293f, 0.046003182f, - 0.998869550f, 0.047535484f, - 0.998795456f, 0.049067674f, - 0.998719012f, 0.050599749f, - 0.998640218f, 0.052131705f, - 0.998559074f, 0.053663538f, - 0.998475581f, 0.055195244f, - 0.998389737f, 0.056726821f, - 0.998301545f, 0.058258265f, - 0.998211003f, 0.059789571f, - 0.998118113f, 0.061320736f, - 0.998022874f, 0.062851758f, - 0.997925286f, 0.064382631f, - 0.997825350f, 0.065913353f, - 0.997723067f, 0.067443920f, - 0.997618435f, 0.068974328f, - 0.997511456f, 0.070504573f, - 0.997402130f, 0.072034653f, - 0.997290457f, 0.073564564f, - 0.997176437f, 0.075094301f, - 0.997060070f, 0.076623861f, - 0.996941358f, 0.078153242f, - 0.996820299f, 0.079682438f, - 0.996696895f, 0.081211447f, - 0.996571146f, 0.082740265f, - 0.996443051f, 0.084268888f, - 0.996312612f, 0.085797312f, - 0.996179829f, 0.087325535f, - 0.996044701f, 0.088853553f, - 0.995907229f, 0.090381361f, - 0.995767414f, 0.091908956f, - 0.995625256f, 0.093436336f, - 0.995480755f, 0.094963495f, - 0.995333912f, 0.096490431f, - 0.995184727f, 0.098017140f, - 0.995033199f, 0.099543619f, - 0.994879331f, 0.101069863f, - 0.994723121f, 0.102595869f, - 0.994564571f, 0.104121634f, - 0.994403680f, 0.105647154f, - 0.994240449f, 0.107172425f, - 0.994074879f, 0.108697444f, - 0.993906970f, 0.110222207f, - 0.993736722f, 0.111746711f, - 0.993564136f, 0.113270952f, - 0.993389211f, 0.114794927f, - 0.993211949f, 0.116318631f, - 0.993032350f, 0.117842062f, - 0.992850414f, 0.119365215f, - 0.992666142f, 0.120888087f, - 0.992479535f, 0.122410675f, - 0.992290591f, 0.123932975f, - 0.992099313f, 0.125454983f, - 0.991905700f, 0.126976696f, - 0.991709754f, 0.128498111f, - 0.991511473f, 0.130019223f, - 0.991310860f, 0.131540029f, - 0.991107914f, 0.133060525f, - 0.990902635f, 0.134580709f, - 0.990695025f, 0.136100575f, - 0.990485084f, 0.137620122f, - 0.990272812f, 0.139139344f, - 0.990058210f, 0.140658239f, - 0.989841278f, 0.142176804f, - 0.989622017f, 0.143695033f, - 0.989400428f, 0.145212925f, - 0.989176510f, 0.146730474f, - 0.988950265f, 0.148247679f, - 0.988721692f, 0.149764535f, - 0.988490793f, 0.151281038f, - 0.988257568f, 0.152797185f, - 0.988022017f, 0.154312973f, - 0.987784142f, 0.155828398f, - 0.987543942f, 0.157343456f, - 0.987301418f, 0.158858143f, - 0.987056571f, 0.160372457f, - 0.986809402f, 0.161886394f, - 0.986559910f, 0.163399949f, - 0.986308097f, 0.164913120f, - 0.986053963f, 0.166425904f, - 0.985797509f, 0.167938295f, - 0.985538735f, 0.169450291f, - 0.985277642f, 0.170961889f, - 0.985014231f, 0.172473084f, - 0.984748502f, 0.173983873f, - 0.984480455f, 0.175494253f, - 0.984210092f, 0.177004220f, - 0.983937413f, 0.178513771f, - 0.983662419f, 0.180022901f, - 0.983385110f, 0.181531608f, - 0.983105487f, 0.183039888f, - 0.982823551f, 0.184547737f, - 0.982539302f, 0.186055152f, - 0.982252741f, 0.187562129f, - 0.981963869f, 0.189068664f, - 0.981672686f, 0.190574755f, - 0.981379193f, 0.192080397f, - 0.981083391f, 0.193585587f, - 0.980785280f, 0.195090322f, - 0.980484862f, 0.196594598f, - 0.980182136f, 0.198098411f, - 0.979877104f, 0.199601758f, - 0.979569766f, 0.201104635f, - 0.979260123f, 0.202607039f, - 0.978948175f, 0.204108966f, - 0.978633924f, 0.205610413f, - 0.978317371f, 0.207111376f, - 0.977998515f, 0.208611852f, - 0.977677358f, 0.210111837f, - 0.977353900f, 0.211611327f, - 0.977028143f, 0.213110320f, - 0.976700086f, 0.214608811f, - 0.976369731f, 0.216106797f, - 0.976037079f, 0.217604275f, - 0.975702130f, 0.219101240f, - 0.975364885f, 0.220597690f, - 0.975025345f, 0.222093621f, - 0.974683511f, 0.223589029f, - 0.974339383f, 0.225083911f, - 0.973992962f, 0.226578264f, - 0.973644250f, 0.228072083f, - 0.973293246f, 0.229565366f, - 0.972939952f, 0.231058108f, - 0.972584369f, 0.232550307f, - 0.972226497f, 0.234041959f, - 0.971866337f, 0.235533059f, - 0.971503891f, 0.237023606f, - 0.971139158f, 0.238513595f, - 0.970772141f, 0.240003022f, - 0.970402839f, 0.241491885f, - 0.970031253f, 0.242980180f, - 0.969657385f, 0.244467903f, - 0.969281235f, 0.245955050f, - 0.968902805f, 0.247441619f, - 0.968522094f, 0.248927606f, - 0.968139105f, 0.250413007f, - 0.967753837f, 0.251897818f, - 0.967366292f, 0.253382037f, - 0.966976471f, 0.254865660f, - 0.966584374f, 0.256348682f, - 0.966190003f, 0.257831102f, - 0.965793359f, 0.259312915f, - 0.965394442f, 0.260794118f, - 0.964993253f, 0.262274707f, - 0.964589793f, 0.263754679f, - 0.964184064f, 0.265234030f, - 0.963776066f, 0.266712757f, - 0.963365800f, 0.268190857f, - 0.962953267f, 0.269668326f, - 0.962538468f, 0.271145160f, - 0.962121404f, 0.272621355f, - 0.961702077f, 0.274096910f, - 0.961280486f, 0.275571819f, - 0.960856633f, 0.277046080f, - 0.960430519f, 0.278519689f, - 0.960002146f, 0.279992643f, - 0.959571513f, 0.281464938f, - 0.959138622f, 0.282936570f, - 0.958703475f, 0.284407537f, - 0.958266071f, 0.285877835f, - 0.957826413f, 0.287347460f, - 0.957384501f, 0.288816408f, - 0.956940336f, 0.290284677f, - 0.956493919f, 0.291752263f, - 0.956045251f, 0.293219163f, - 0.955594334f, 0.294685372f, - 0.955141168f, 0.296150888f, - 0.954685755f, 0.297615707f, - 0.954228095f, 0.299079826f, - 0.953768190f, 0.300543241f, - 0.953306040f, 0.302005949f, - 0.952841648f, 0.303467947f, - 0.952375013f, 0.304929230f, - 0.951906137f, 0.306389795f, - 0.951435021f, 0.307849640f, - 0.950961666f, 0.309308760f, - 0.950486074f, 0.310767153f, - 0.950008245f, 0.312224814f, - 0.949528181f, 0.313681740f, - 0.949045882f, 0.315137929f, - 0.948561350f, 0.316593376f, - 0.948074586f, 0.318048077f, - 0.947585591f, 0.319502031f, - 0.947094366f, 0.320955232f, - 0.946600913f, 0.322407679f, - 0.946105232f, 0.323859367f, - 0.945607325f, 0.325310292f, - 0.945107193f, 0.326760452f, - 0.944604837f, 0.328209844f, - 0.944100258f, 0.329658463f, - 0.943593458f, 0.331106306f, - 0.943084437f, 0.332553370f, - 0.942573198f, 0.333999651f, - 0.942059740f, 0.335445147f, - 0.941544065f, 0.336889853f, - 0.941026175f, 0.338333767f, - 0.940506071f, 0.339776884f, - 0.939983753f, 0.341219202f, - 0.939459224f, 0.342660717f, - 0.938932484f, 0.344101426f, - 0.938403534f, 0.345541325f, - 0.937872376f, 0.346980411f, - 0.937339012f, 0.348418680f, - 0.936803442f, 0.349856130f, - 0.936265667f, 0.351292756f, - 0.935725689f, 0.352728556f, - 0.935183510f, 0.354163525f, - 0.934639130f, 0.355597662f, - 0.934092550f, 0.357030961f, - 0.933543773f, 0.358463421f, - 0.932992799f, 0.359895037f, - 0.932439629f, 0.361325806f, - 0.931884266f, 0.362755724f, - 0.931326709f, 0.364184790f, - 0.930766961f, 0.365612998f, - 0.930205023f, 0.367040346f, - 0.929640896f, 0.368466830f, - 0.929074581f, 0.369892447f, - 0.928506080f, 0.371317194f, - 0.927935395f, 0.372741067f, - 0.927362526f, 0.374164063f, - 0.926787474f, 0.375586178f, - 0.926210242f, 0.377007410f, - 0.925630831f, 0.378427755f, - 0.925049241f, 0.379847209f, - 0.924465474f, 0.381265769f, - 0.923879533f, 0.382683432f, - 0.923291417f, 0.384100195f, - 0.922701128f, 0.385516054f, - 0.922108669f, 0.386931006f, - 0.921514039f, 0.388345047f, - 0.920917242f, 0.389758174f, - 0.920318277f, 0.391170384f, - 0.919717146f, 0.392581674f, - 0.919113852f, 0.393992040f, - 0.918508394f, 0.395401479f, - 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0.992666142f, -0.120888087f, - 0.992850414f, -0.119365215f, - 0.993032350f, -0.117842062f, - 0.993211949f, -0.116318631f, - 0.993389211f, -0.114794927f, - 0.993564136f, -0.113270952f, - 0.993736722f, -0.111746711f, - 0.993906970f, -0.110222207f, - 0.994074879f, -0.108697444f, - 0.994240449f, -0.107172425f, - 0.994403680f, -0.105647154f, - 0.994564571f, -0.104121634f, - 0.994723121f, -0.102595869f, - 0.994879331f, -0.101069863f, - 0.995033199f, -0.099543619f, - 0.995184727f, -0.098017140f, - 0.995333912f, -0.096490431f, - 0.995480755f, -0.094963495f, - 0.995625256f, -0.093436336f, - 0.995767414f, -0.091908956f, - 0.995907229f, -0.090381361f, - 0.996044701f, -0.088853553f, - 0.996179829f, -0.087325535f, - 0.996312612f, -0.085797312f, - 0.996443051f, -0.084268888f, - 0.996571146f, -0.082740265f, - 0.996696895f, -0.081211447f, - 0.996820299f, -0.079682438f, - 0.996941358f, -0.078153242f, - 0.997060070f, -0.076623861f, - 0.997176437f, -0.075094301f, - 0.997290457f, -0.073564564f, - 0.997402130f, -0.072034653f, - 0.997511456f, -0.070504573f, - 0.997618435f, -0.068974328f, - 0.997723067f, -0.067443920f, - 0.997825350f, -0.065913353f, - 0.997925286f, -0.064382631f, - 0.998022874f, -0.062851758f, - 0.998118113f, -0.061320736f, - 0.998211003f, -0.059789571f, - 0.998301545f, -0.058258265f, - 0.998389737f, -0.056726821f, - 0.998475581f, -0.055195244f, - 0.998559074f, -0.053663538f, - 0.998640218f, -0.052131705f, - 0.998719012f, -0.050599749f, - 0.998795456f, -0.049067674f, - 0.998869550f, -0.047535484f, - 0.998941293f, -0.046003182f, - 0.999010686f, -0.044470772f, - 0.999077728f, -0.042938257f, - 0.999142419f, -0.041405641f, - 0.999204759f, -0.039872928f, - 0.999264747f, -0.038340120f, - 0.999322385f, -0.036807223f, - 0.999377670f, -0.035274239f, - 0.999430605f, -0.033741172f, - 0.999481187f, -0.032208025f, - 0.999529418f, -0.030674803f, - 0.999575296f, -0.029141509f, - 0.999618822f, -0.027608146f, - 0.999659997f, -0.026074718f, - 0.999698819f, -0.024541229f, - 0.999735288f, -0.023007681f, - 0.999769405f, -0.021474080f, - 0.999801170f, -0.019940429f, - 0.999830582f, -0.018406730f, - 0.999857641f, -0.016872988f, - 0.999882347f, -0.015339206f, - 0.999904701f, -0.013805389f, - 0.999924702f, -0.012271538f, - 0.999942350f, -0.010737659f, - 0.999957645f, -0.009203755f, - 0.999970586f, -0.007669829f, - 0.999981175f, -0.006135885f, - 0.999989411f, -0.004601926f, - 0.999995294f, -0.003067957f, - 0.999998823f, -0.001533980f -}; - - -/** - @brief Q31 Twiddle factors Table -*/ - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
 for(i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 16, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_16_q31[24] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, - (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, - (q31_t)0x5A82799A, (q31_t)0x5A82799A, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, - (q31_t)0x00000000, (q31_t)0x7FFFFFFF, - (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, - (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, - (q31_t)0x80000000, (q31_t)0x00000000, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, - (q31_t)0xA57D8666, (q31_t)0xA57D8666, - (q31_t)0xCF043AB2, (q31_t)0x89BE50C3 -}; - - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 32, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_32_q31[48] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, - (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, - (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, - (q31_t)0x5A82799A, (q31_t)0x5A82799A, - (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, - (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, - (q31_t)0x00000000, (q31_t)0x7FFFFFFF, - (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, - (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, - (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, - (q31_t)0x9592675B, (q31_t)0x471CECE6, - (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, - (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, - (q31_t)0x80000000, (q31_t)0x00000000, - (q31_t)0x8275A0C0, (q31_t)0xE70747C3, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, - (q31_t)0x9592675B, (q31_t)0xB8E31319, - (q31_t)0xA57D8666, (q31_t)0xA57D8666, - (q31_t)0xB8E31319, (q31_t)0x9592675B, - (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, - (q31_t)0xE70747C3, (q31_t)0x8275A0C0 -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 64, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_64_q31[96] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F, - (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C, - (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC, - (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A, - (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6, - (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D, - (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, - (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000, - (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, - (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2, - (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, - (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319, - (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53, - (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6, - (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3, - (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, - (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970, - (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000, - (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0, - (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A, - (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319, - (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666, - (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, - (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F, - (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3, - (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970 -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i < 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 128, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_128_q31[192] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D, - (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F, - (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413, - (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, - (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6, - (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F, - (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94, - (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A, - (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, - (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3, - (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, - (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70, - (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB, - (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, - (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C, - (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, - (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C, - (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, - (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1, - (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, - (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684, - (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, - (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2, - (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, - (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B, - (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, - (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B, - (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376, - (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, - (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B, - (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, - (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F, - (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, - (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4, - (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B, - (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03, - (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, - (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000, - (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683, - (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03, - (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, - (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4, - (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F, - (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, - (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B, - (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, - (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376, - (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666, - (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B, - (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, - (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B, - (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, - (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2, - (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684, - (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, - (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1, - (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872 -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 256, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - - */ -const q31_t twiddleCoef_256_q31[384] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182, - (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, - (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F, - (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9, - (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, - (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE, - (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1, - (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB, - (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C, - (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287, - (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84, - (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, - (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14, - (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81, - (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, - (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC, - (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, - (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF, - (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A, - (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2, - (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, - (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4, - (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, - (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6, - (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960, - (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7, - (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, - (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013, - (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62, - (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413, - (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D, - (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, - (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A, - (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, - (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E, - (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, - (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049, - (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, - (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000, - (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, - (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6, - (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, - (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91, - (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, - (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95, - (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, - (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2, - (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, - (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E, - (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, - (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC, - (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84, - (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648, - (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, - (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319, - (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, - (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B, - (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC, - (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D, - (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20, - (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, - (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53, - (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, - (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E, - (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6, - (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB, - (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, - (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B, - (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, - (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3, - (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62, - (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E, - (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, - (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411, - (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A, - (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16, - (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E, - (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970, - (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049, - (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D, - (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000, - (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872, - (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, - (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C, - (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91, - (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0, - (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95, - (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62, - (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, - (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC, - (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA, - (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, - (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A, - (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, - (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F, - (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319, - (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0, - (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B, - (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0, - (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, - (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666, - (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, - (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510, - (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, - (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C, - (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E, - (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF, - (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, - (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F, - (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, - (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78, - (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, - (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14, - (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A, - (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411, - (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3, - (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, - (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4, - (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970, - (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683, - (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 512, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - - */ -const q31_t twiddleCoef_512_q31[768] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A, - (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF, - (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D, - (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, - (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3, - (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, - (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3, - (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493, - (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, - (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F, - (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, - (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD, - (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, - (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D, - (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD, - (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928, - (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413, - (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, - (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988, - (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, - (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345, - (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056, - (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0, - (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32, - (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6, - (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5, - (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C, - (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, - (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960, - (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C, - (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533, - (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F, - (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, - (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F, - (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94, - (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830, - (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, - (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C, - (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, - (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A, - (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153, - (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9, - (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, - (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x539B2AEF, - (q31_t)0x60EC3830, (q31_t)0x5269126E, (q31_t)0x61F1003E, - (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4FFB654D, - (q31_t)0x63EF328F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926, - (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4C3FDFF3, - (q31_t)0x66CF811F, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC, - (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4869E664, - (q31_t)0x698C246C, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, - (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x447ACD50, - (q31_t)0x6C242960, (q31_t)0x4325C135, (q31_t)0x6CF934FB, - (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4073F21D, - (q31_t)0x6E96A99C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1, - (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3C56BA70, - (q31_t)0x70E2CBC6, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2, - (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x382493B0, - (q31_t)0x7307C3D0, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, - (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x33DEF287, - (q31_t)0x7504D345, (q31_t)0x326E54C7, (q31_t)0x75A585CF, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2F875262, - (q31_t)0x76D94988, (q31_t)0x2E110A62, (q31_t)0x776C4EDB, - (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2B1F34EB, - (q31_t)0x78848413, (q31_t)0x29A3C484, (q31_t)0x7909A92C, - (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x26A82185, - (q31_t)0x7A05EEAD, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, - (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2223A4C5, - (q31_t)0x7B5D039D, (q31_t)0x209F701C, (q31_t)0x7BC5E28F, - (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1D934FE5, - (q31_t)0x7C894BDD, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1, - (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x18F8B83C, - (q31_t)0x7D8A5F3F, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E, - (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x145576B1, - (q31_t)0x7E5FE493, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, - (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x0FAB272B, - (q31_t)0x7F0991C3, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5, - (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0AFB6805, - (q31_t)0x7F872BF3, (q31_t)0x096A9049, (q31_t)0x7FA736B4, - (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0647D97C, - (q31_t)0x7FD8878D, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0, - (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x01921D1F, - (q31_t)0x7FFD885A, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, - (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFCDBD541, - (q31_t)0x7FF62182, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0, - (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF826A461, - (q31_t)0x7FC25596, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4, - (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF3742CA1, - (q31_t)0x7F62368F, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5, - (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEEC60F31, - (q31_t)0x7ED5E5C6, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, - (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEA1DEBBB, - (q31_t)0x7E1D93E9, (q31_t)0xE8922621, (q31_t)0x7DD6668E, - (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE57D5FDA, - (q31_t)0x7D3980EC, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1, - (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE0E60684, - (q31_t)0x7C29FBEE, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F, - (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDC597781, - (q31_t)0x7AEF6323, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, - (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD7D946D7, - (q31_t)0x798A23B1, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C, - (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD3670445, - (q31_t)0x77FAB988, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB, - (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCF043AB2, - (q31_t)0x7641AF3C, (q31_t)0xCD91AB38, (q31_t)0x75A585CF, - (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCAB26FA9, - (q31_t)0x745F9DD1, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, - (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC67322CD, - (q31_t)0x72552C84, (q31_t)0xC50D1148, (q31_t)0x719E2CD2, - (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC247CD5A, - (q31_t)0x70231099, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1, - (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBE31E19B, - (q31_t)0x6DCA0D14, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB, - (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBA32CA70, - (q31_t)0x6B4AF278, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, - (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB64BEACC, - (q31_t)0x68A69E81, (q31_t)0xB5049368, (q31_t)0x67BD0FBC, - (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB27E9D3B, - (q31_t)0x65DDFBD3, (q31_t)0xB140175B, (q31_t)0x64E88926, - (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAECC336B, - (q31_t)0x62F201AC, (q31_t)0xAD96ED91, (q31_t)0x61F1003E, - (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAB35F5B5, - (q31_t)0x5FE3B38D, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, - (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA7BD22AB, - (q31_t)0x5CB420DF, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153, - (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA462EEAC, - (q31_t)0x59646497, (q31_t)0xA34BDF20, (q31_t)0x5842DD54, - (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1288376, - (q31_t)0x55F5A4D2, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A, - (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E0EFFC1, - (q31_t)0x5269126E, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, - (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B1776D9, - (q31_t)0x4EBFE8A4, (q31_t)0x9A22042C, (q31_t)0x4D8162C4, - (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9842F043, - (q31_t)0x4AFB6C97, (q31_t)0x9759617E, (q31_t)0x49B41533, - (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x9592675B, - (q31_t)0x471CECE6, (q31_t)0x94B50D87, (q31_t)0x45CD358F, - (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9306CB04, - (q31_t)0x4325C135, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, - (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x90A0FD4E, - (q31_t)0x3F1749B7, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5, - (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8E61D32D, - (q31_t)0x3AF2EEB7, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32, - (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8C4A142F, - (q31_t)0x36BA2013, (q31_t)0x8BA0622F, (q31_t)0x354D9056, - (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8A5A7A30, - (q31_t)0x326E54C7, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, - (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x8893B124, - (q31_t)0x2E110A62, (q31_t)0x88054677, (q31_t)0x2C98FBBA, - (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x86F656D3, - (q31_t)0x29A3C484, (q31_t)0x8675DC4E, (q31_t)0x2826B928, - (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x8582FAA4, - (q31_t)0x25280C5D, (q31_t)0x85109CDC, (q31_t)0x23A6887E, - (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x843A1D70, - (q31_t)0x209F701C, (q31_t)0x83D60411, (q31_t)0x1F19F97B, - (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x831C314E, - (q31_t)0x1C0B826A, (q31_t)0x82C67F13, (q31_t)0x1A82A025, - (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82299971, - (q31_t)0x176DD9DE, (q31_t)0x81E26C16, (q31_t)0x15E21444, - (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8162AA03, - (q31_t)0x12C8106E, (q31_t)0x812A1A39, (q31_t)0x1139F0CE, - (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A, - (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, - (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C, - (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E, - (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440, - (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF, - (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000, - (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0, - (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440, - (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683, - (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C, - (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA, - (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A, - (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4, - (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03, - (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E, - (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971, - (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, - (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E, - (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A, - (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70, - (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A, - (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4, - (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A, - (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3, - (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, - (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124, - (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D, - (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30, - (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78, - (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F, - (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50, - (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D, - (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, - (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E, - (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2, - (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04, - (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF, - (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B, - (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B, - (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043, - (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, - (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9, - (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2, - (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1, - (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510, - (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376, - (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106, - (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC, - (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666, - (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB, - (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283, - (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5, - (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, - (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B, - (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, - (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B, - (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, - (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC, - (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94, - (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70, - (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, - (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B, - (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, - (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A, - (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, - (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD, - (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, - (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9, - (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, - (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2, - (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677, - (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445, - (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, - (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7, - (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781, - (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, - (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684, - (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422, - (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA, - (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, - (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB, - (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, - (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31, - (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, - (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1, - (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D, - (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461, - (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872, - (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541, - (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5 -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 1024, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - - */ -const q31_t twiddleCoef_1024_q31[1536] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216, - (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, - (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182, - (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, - (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B, - (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, - (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596, - (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, - (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC, - (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, - (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F, - (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, - (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4, - (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, - (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6, - (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956, - (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1, - (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9, - (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, - (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7, - (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, - (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC, - (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, - (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724, - (q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, - (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE, - (q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, - (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89, - (q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, - (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323, - (q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8, - (q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, - (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1, - (q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A, - (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1, - (q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB, - (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988, - (q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, - (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D, - (q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262, - (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C, - (q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, - (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B, - (q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287, - (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1, - (q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9, - (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626, - (q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0, - (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84, - (q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1, - (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804, - (q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, - (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099, - (q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C, - (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12, - (q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D, - (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14, - (q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0, - (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C, - (q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50, - (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278, - (q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827, - (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A, - (q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664, - (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81, - (q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D, - (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7, - (q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, - (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3, - (q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617, - (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF, - (q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D, - (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC, - (q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E, - (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B, - (q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, - (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D, - (q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, (q31_t)0x556040E2, - (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E50015D, - (q31_t)0x568A34A9, (q31_t)0x5DC79D7C, (q31_t)0x571DEEF9, - (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CB420DF, - (q31_t)0x5842DD54, (q31_t)0x5C290ACC, (q31_t)0x58D40E8C, - (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B1035CF, - (q31_t)0x59F3DE12, (q31_t)0x5A82799A, (q31_t)0x5A82799A, - (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59646497, - (q31_t)0x5B9D1153, (q31_t)0x58D40E8C, (q31_t)0x5C290ACC, - (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57B0D256, - (q31_t)0x5D3E5236, (q31_t)0x571DEEF9, (q31_t)0x5DC79D7C, - (q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x55F5A4D2, - (q31_t)0x5ED77C89, (q31_t)0x556040E2, (q31_t)0x5F5E0DB3, - (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x5433027D, - (q31_t)0x60686CCE, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, - (q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x5269126E, - (q31_t)0x61F1003E, (q31_t)0x51CED46E, (q31_t)0x6271FA69, - (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x5097FC5E, - (q31_t)0x637114CC, (q31_t)0x4FFB654D, (q31_t)0x63EF328F, - (q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4EBFE8A4, - (q31_t)0x64E88926, (q31_t)0x4E210617, (q31_t)0x6563BF92, - (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4CE10034, - (q31_t)0x66573CBB, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, - (q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4AFB6C97, - (q31_t)0x67BD0FBC, (q31_t)0x4A581C9D, (q31_t)0x683257AA, - (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x490F57EE, - (q31_t)0x6919E320, (q31_t)0x4869E664, (q31_t)0x698C246C, - (q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x471CECE6, - (q31_t)0x6A6D98A4, (q31_t)0x46756827, (q31_t)0x6ADCC964, - (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x452456BC, - (q31_t)0x6BB812D0, (q31_t)0x447ACD50, (q31_t)0x6C242960, - (q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x4325C135, - (q31_t)0x6CF934FB, (q31_t)0x427A41D0, (q31_t)0x6D6227FA, - (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4121589A, - (q31_t)0x6E30E349, (q31_t)0x4073F21D, (q31_t)0x6E96A99C, - (q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F1749B7, - (q31_t)0x6F5F02B1, (q31_t)0x3E680B2C, (q31_t)0x6FC19385, - (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D07C1D5, - (q31_t)0x708378FE, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, - (q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3AF2EEB7, - (q31_t)0x719E2CD2, (q31_t)0x3A402DD1, (q31_t)0x71FA3948, - (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x38D8FE93, - (q31_t)0x72AF05A6, (q31_t)0x382493B0, (q31_t)0x7307C3D0, - (q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x36BA2013, - (q31_t)0x73B5EBD0, (q31_t)0x36041AD9, (q31_t)0x740B53FA, - (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x3496824F, - (q31_t)0x74B2C883, (q31_t)0x33DEF287, (q31_t)0x7504D345, - (q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x326E54C7, - (q31_t)0x75A585CF, (q31_t)0x31B54A5D, (q31_t)0x75F42C0A, - (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x3041C760, - (q31_t)0x768E0EA5, (q31_t)0x2F875262, (q31_t)0x76D94988, - (q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E110A62, - (q31_t)0x776C4EDB, (q31_t)0x2D553AFB, (q31_t)0x77B417DF, - (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2BDC4E6F, - (q31_t)0x78403328, (q31_t)0x2B1F34EB, (q31_t)0x78848413, - (q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x29A3C484, - (q31_t)0x7909A92C, (q31_t)0x28E5714A, (q31_t)0x794A7C11, - (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27679DF4, - (q31_t)0x79C89F6D, (q31_t)0x26A82185, (q31_t)0x7A05EEAD, - (q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x25280C5D, - (q31_t)0x7A7D055B, (q31_t)0x24677757, (q31_t)0x7AB6CBA3, - (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x22E541AE, - (q31_t)0x7B26CB4F, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, - (q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x209F701C, - (q31_t)0x7BC5E28F, (q31_t)0x1FDCDC1A, (q31_t)0x7BF88830, - (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1E56CA1E, - (q31_t)0x7C5A3D4F, (q31_t)0x1D934FE5, (q31_t)0x7C894BDD, - (q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C0B826A, - (q31_t)0x7CE3CEB1, (q31_t)0x1B4732EF, (q31_t)0x7D0F4218, - (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x19BDCBF2, - (q31_t)0x7D628AC5, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, - (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x176DD9DE, - (q31_t)0x7DD6668E, (q31_t)0x16A81305, (q31_t)0x7DFA98A7, - (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x151BDF85, - (q31_t)0x7E3F57FE, (q31_t)0x145576B1, (q31_t)0x7E5FE493, - (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x12C8106E, - (q31_t)0x7E9D55FC, (q31_t)0x120116D4, (q31_t)0x7EBA3A39, - (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x1072A047, - (q31_t)0x7EF0585F, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, - (q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0E1BC2E3, - (q31_t)0x7F3857F5, (q31_t)0x0D53DB92, (q31_t)0x7F4DE450, - (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0BC3AC35, - (q31_t)0x7F754E7F, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3, - (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x096A9049, - (q31_t)0x7FA736B4, (q31_t)0x08A2009A, (q31_t)0x7FB563B2, - (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0710A344, - (q31_t)0x7FCE0C3E, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, - (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x04B6195D, - (q31_t)0x7FE9CBC0, (q31_t)0x03ED26E6, (q31_t)0x7FF09477, - (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x025B26D7, - (q31_t)0x7FFA72D1, (q31_t)0x01921D1F, (q31_t)0x7FFD885A, - (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x00000000, - (q31_t)0x7FFFFFFF, (q31_t)0xFF36F078, (q31_t)0x7FFF6216, - (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFDA4D928, - (q31_t)0x7FFA72D1, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, - (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFB49E6A2, - (q31_t)0x7FE9CBC0, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B, - (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF8EF5CBB, - (q31_t)0x7FCE0C3E, (q31_t)0xF826A461, (q31_t)0x7FC25596, - (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF6956FB6, - (q31_t)0x7FA736B4, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC, - (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF43C53CA, - (q31_t)0x7F754E7F, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, - (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF1E43D1C, - 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(q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED, - (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3, - (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66, - (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F, - (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB, - (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E, - (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, - (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50, - (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9, - (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527, - (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F, - (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78, - (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4, - (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2, - (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, - (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D, - (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3, - (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504, - (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677, - (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14, - (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E, - (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5, - (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, - (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A, - (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8, - (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC, - (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A, - (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476, - (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5, - (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411, - (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A, - (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB, - (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10, - (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13, - (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3, - (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208, - (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB, - (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, - (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E, - (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, - (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B, - (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, - (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4, - (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, - (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D, - (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970, - (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA, - (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143, - (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65, - (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69, - (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683, - (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, - (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919, - (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, - (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0, - (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9 -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 2048, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_2048_q31[3072] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885, - (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88, - (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A, - (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296, - (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1, - (q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF, - (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477, - (q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176, - (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108, - (q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034, - (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D, - (q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F, - (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853, - (q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, - (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2, - (q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A, - (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15, - (q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC, - (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3, - (q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F, - (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4, - (q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, - (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450, - (q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376, - (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E, - (q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765, - (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3, - (q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD, - (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635, - (q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, - (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39, - (q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1, - (q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0, - (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493, - (q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F, - (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF, - (q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, - (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7, - (q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D, - (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D, - (q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8, - (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F, - (q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9, - (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E, - (q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, - (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218, - (q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334, - (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CCDA168, - (q31_t)0x1C6D9053, (q31_t)0x7CB72724, (q31_t)0x1CCF8CB3, - (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C894BDD, - (q31_t)0x1D934FE5, (q31_t)0x7C71EAF8, (q31_t)0x1DF5163F, - (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4242F2, - (q31_t)0x1EB86B46, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, - (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7BF88830, - (q31_t)0x1FDCDC1A, (q31_t)0x7BDF5B94, (q31_t)0x203E300D, - (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BAC1D31, - (q31_t)0x21009C0B, (q31_t)0x7B920B89, (q31_t)0x2161B39F, - (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B5D039D, - (q31_t)0x2223A4C5, (q31_t)0x7B420D7A, (q31_t)0x22847DDF, - (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B0B3D2C, - (q31_t)0x2345EFF7, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, - (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AB6CBA3, - (q31_t)0x24677757, (q31_t)0x7A9A0E4F, (q31_t)0x24C7CD32, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A5FB0D8, - (q31_t)0x2588349D, (q31_t)0x7A4210D8, (q31_t)0x25E845B5, - (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A05EEAD, - (q31_t)0x26A82185, (q31_t)0x79E76CA6, (q31_t)0x2707EBC6, - (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79A98715, - (q31_t)0x27C737D2, (q31_t)0x798A23B1, (q31_t)0x2826B928, - (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x794A7C11, - (q31_t)0x28E5714A, (q31_t)0x792A37FE, (q31_t)0x2944A7A2, - (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78E8CFB1, - (q31_t)0x2A02C7B8, (q31_t)0x78C7ABA1, (q31_t)0x2A61B101, - (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x78848413, - (q31_t)0x2B1F34EB, (q31_t)0x786280BF, (q31_t)0x2B7DCF17, - (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x781D9B64, - (q31_t)0x2C3AB2B9, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, - (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77B417DF, - (q31_t)0x2D553AFB, (q31_t)0x7790583D, (q31_t)0x2DB330C7, - (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7747FBCE, - (q31_t)0x2E6EC792, (q31_t)0x77235F2D, (q31_t)0x2ECC681E, - (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76D94988, - (q31_t)0x2F875262, (q31_t)0x76B3D0B3, (q31_t)0x2FE49BA6, - (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x76680376, - (q31_t)0x309ED555, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, - (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x75F42C0A, - (q31_t)0x31B54A5D, (q31_t)0x75CCFD42, (q31_t)0x3211DF03, - (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x757DC5CA, - (q31_t)0x32CAAB6F, (q31_t)0x7555BD4B, (q31_t)0x3326E2C2, - (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x7504D345, - (q31_t)0x33DEF287, (q31_t)0x74DBF1EF, (q31_t)0x343ACA87, - (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x7489571B, - (q31_t)0x34F219A7, (q31_t)0x745F9DD1, (q31_t)0x354D9056, - (q31_t)0x74359CBD, (q31_t)0x35A8E624, (q31_t)0x740B53FA, - (q31_t)0x36041AD9, (q31_t)0x73E0C3A3, (q31_t)0x365F2E3B, - (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x738ACC9E, - (q31_t)0x3714F02A, (q31_t)0x735F6626, (q31_t)0x376F9E46, - (q31_t)0x7333B883, (q31_t)0x37CA2A30, (q31_t)0x7307C3D0, - (q31_t)0x382493B0, (q31_t)0x72DB8828, (q31_t)0x387EDA8E, - (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72823C66, - (q31_t)0x3932FF87, (q31_t)0x72552C84, (q31_t)0x398CDD32, - (q31_t)0x7227D61C, (q31_t)0x39E6975D, (q31_t)0x71FA3948, - (q31_t)0x3A402DD1, (q31_t)0x71CC5626, (q31_t)0x3A99A057, - (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x716FBD68, - (q31_t)0x3B4C18BA, (q31_t)0x71410804, (q31_t)0x3BA51E29, - (q31_t)0x71120CC5, (q31_t)0x3BFDFECD, (q31_t)0x70E2CBC6, - (q31_t)0x3C56BA70, (q31_t)0x70B34524, (q31_t)0x3CAF50DA, - (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70536771, - (q31_t)0x3D600D2B, (q31_t)0x70231099, (q31_t)0x3DB832A5, - (q31_t)0x6FF27496, (q31_t)0x3E10320D, (q31_t)0x6FC19385, - (q31_t)0x3E680B2C, (q31_t)0x6F906D84, (q31_t)0x3EBFBDCC, - (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6F2D532C, - (q31_t)0x3F6EAEB8, (q31_t)0x6EFB5F12, (q31_t)0x3FC5EC97, - (q31_t)0x6EC92682, (q31_t)0x401D0320, (q31_t)0x6E96A99C, - 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(q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA2C1ADC9, - (q31_t)0xA84F2DA9, (q31_t)0xA306A9C7, (q31_t)0xA8060D08, - (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3914DA7, - (q31_t)0xA7746EC0, (q31_t)0xA3D6F533, (q31_t)0xA72BF173, - (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA462EEAC, - (q31_t)0xA69B9B68, (q31_t)0xA4A94042, (q31_t)0xA653C302, - (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA5368C4B, - (q31_t)0xA5C4B855, (q31_t)0xA57D8666, (q31_t)0xA57D8666, - (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA60C21ED, - (q31_t)0xA4EFCA31, (q31_t)0xA653C302, (q31_t)0xA4A94042, - (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6E3AAF2, - (q31_t)0xA41CD598, (q31_t)0xA72BF173, (q31_t)0xA3D6F533, - (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA7BD22AB, - (q31_t)0xA34BDF20, (q31_t)0xA8060D08, (q31_t)0xA306A9C7, - (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8988463, - (q31_t)0xA27CEB4F, (q31_t)0xA8E21106, (q31_t)0xA2386283, - (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA975CB56, - (q31_t)0xA1AFFEA2, (q31_t)0xA9BFF8A8, (q31_t)0xA16C23E1, - (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA54F2B9, - (q31_t)0xA0E51D8C, (q31_t)0xAA9FBF1D, (q31_t)0xA0A1F24C, - (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB35F5B5, - (q31_t)0xA01C4C72, (q31_t)0xAB815F8C, (q31_t)0x9FD9D22A, - (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC18CF68, - (q31_t)0x9F558FB0, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, - (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACFD7AE8, - (q31_t)0x9E90EB94, (q31_t)0xAD4A1ABA, (q31_t)0x9E4FD789, - (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADE3F33E, - (q31_t)0x9DCE6462, (q31_t)0xAE312B91, (q31_t)0x9D8E0596, - (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAECC336B, - (q31_t)0x9D0DFE53, (q31_t)0xAF1A0293, (q31_t)0x9CCE562B, - (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAFB63667, - (q31_t)0x9C4FBD92, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, - (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB0A1F71C, - (q31_t)0x9B93A640, (q31_t)0xB0F0EEDA, (q31_t)0x9B556F80, - (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB18F7070, - (q31_t)0x9AD9BC71, (q31_t)0xB1DEF9E8, (q31_t)0x9A9C406D, - (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB27E9D3B, - (q31_t)0x9A22042C, (q31_t)0xB2CEB6B5, (q31_t)0x99E5443A, - (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB36F784E, - (q31_t)0x996C816F, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, - (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB461FC70, - (q31_t)0x98B93828, (q31_t)0xB4B330B2, (q31_t)0x987DF449, - (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB556245E, - (q31_t)0x98082C3B, (q31_t)0xB5A7E362, (q31_t)0x97CDA855, - (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB64BEACC, - (q31_t)0x9759617E, (q31_t)0xB69E32CD, (q31_t)0x971F9ED6, - (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB7434A67, - (q31_t)0x96ACDBBD, (q31_t)0xB796199B, (q31_t)0x9673DB94, - (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB83C3DD1, - (q31_t)0x96029EB5, (q31_t)0xB88F926C, (q31_t)0x95CA6246, - (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB936BFA3, - (q31_t)0x955AAE17, (q31_t)0xB98A97D8, (q31_t)0x9523369B, - (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA32CA70, - (q31_t)0x94B50D87, (q31_t)0xBA87246C, (q31_t)0x947E5C32, - (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB3058C0, - (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, - (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513, - (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968, - (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1, - (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805, - (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B, - (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4, - (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8, - (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, - (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368, - (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3, - (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233, - (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A, - (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A, - (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E, - (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25, - (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, - (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7, - (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298, - (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8, - (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7, - (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD, - (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399, - (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571, - (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, - (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA, - (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361, - (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4, - (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05, - (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9, - (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4, - (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578, - (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, - (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D, - (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35, - (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC, - (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5, - (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2, - (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89, - (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459, - (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677, - (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1, - (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431, - (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38, - (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820, - (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445, - (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B, - (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8, - (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, - (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE, - (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E, - (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D, - (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE, - (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7, - (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA, - (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439, - (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, - (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A, - (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28, - (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD, - (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C, - (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781, - (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3, - (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220, - (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, - (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60, - (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE, - (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2, - (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF, - (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684, - (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D, - (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1, - (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422, - (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C, - (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97, - (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB, - (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8, - (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA, - (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381, - (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616, - (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, - (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917, - (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2, - (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273, - (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758, - (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB, - (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320, - (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80, - (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, - (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F, - (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E, - (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2, - (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6, - (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31, - (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA, - (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752, - (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, - (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A, - (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1, - (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89, - (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF, - (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1, - (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B, - (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260, - (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D, - (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743, - (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA, - (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5, - (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D, - (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461, - (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC, - (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90, - (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872, - (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB, - (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7, - (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89, - (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88, - (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541, - (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E, - (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69, - (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5, - (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078, - (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A -}; - -/** - @par - Example code for Q31 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 4096, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to Q31(Fixed point 1.31): - round(twiddleCoefQ31(i) * pow(2, 31)) - */ -const q31_t twiddleCoef_4096_q31[6144] ARM_DSP_TABLE_ATTRIBUTE = -{ - (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621, - (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3, - (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216, - (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F, - (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64, - (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, - (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F, - (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1, - (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17, - (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4, - (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182, - (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96, - (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553, - (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, - (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790, - (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3, - (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840, - (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C, - (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B, - (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF, - (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518, - (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, - (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152, - (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261, - (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23, - (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE, - (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596, - (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1, - (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7, - (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, - (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494, - (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77, - (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C, - (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89, - (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC, - (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE, - (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226, - (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, - (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B, - (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE, - (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD, - (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389, - (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F, - (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865, - (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654, - (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, - (q31_t)0x7F489EAA, (q31_t)0x0D85D88F, (q31_t)0x7F434563, - (q31_t)0x0DB7D376, (q31_t)0x7F3DD87C, (q31_t)0x0DE9CC3F, - (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F32C3D0, - (q31_t)0x0E4DB75B, (q31_t)0x7F2D1C0E, (q31_t)0x0E7FA99D, - (q31_t)0x7F2760AF, (q31_t)0x0EB199A3, (q31_t)0x7F2191B4, - (q31_t)0x0EE38765, (q31_t)0x7F1BAF1E, (q31_t)0x0F1572DC, - (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0FAF24, - (q31_t)0x0F7942C6, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, - (q31_t)0x7F0360CB, (q31_t)0x0FDD0925, (q31_t)0x7EFD1C3C, - (q31_t)0x100EE8AD, (q31_t)0x7EF6C418, (q31_t)0x1040C5BB, - (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE9D913, - (q31_t)0x10A4784A, (q31_t)0x7EE34635, (q31_t)0x10D64DBC, - (q31_t)0x7EDC9FC6, (q31_t)0x11082096, (q31_t)0x7ED5E5C6, - (q31_t)0x1139F0CE, (q31_t)0x7ECF1837, (q31_t)0x116BBE5F, - (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EC1426F, - (q31_t)0x11CF516A, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, - (q31_t)0x7EB31E77, (q31_t)0x1232D978, (q31_t)0x7EABEF2C, - (q31_t)0x1264994E, (q31_t)0x7EA4AC58, (q31_t)0x1296564D, - (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E95EC19, - (q31_t)0x12F9C7AA, (q31_t)0x7E8E6EB1, (q31_t)0x132B7BF9, - (q31_t)0x7E86DDC5, (q31_t)0x135D2D53, (q31_t)0x7E7F3956, - (q31_t)0x138EDBB0, (q31_t)0x7E778165, (q31_t)0x13C0870A, - (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E67D702, - (q31_t)0x1423D492, (q31_t)0x7E5FE493, (q31_t)0x145576B1, - (q31_t)0x7E57DEA6, (q31_t)0x148715AD, (q31_t)0x7E4FC53E, - (q31_t)0x14B8B17F, (q31_t)0x7E47985B, (q31_t)0x14EA4A1F, - (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E37042A, - (q31_t)0x154D71AA, (q31_t)0x7E2E9CDF, (q31_t)0x157F0086, - (q31_t)0x7E26221E, (q31_t)0x15B08C11, (q31_t)0x7E1D93E9, - (q31_t)0x15E21444, (q31_t)0x7E14F242, (q31_t)0x16139917, - (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7E03749F, - (q31_t)0x1676987F, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, - (q31_t)0x7DF1A942, (q31_t)0x16D98A0C, (q31_t)0x7DE8A670, - (q31_t)0x170AFD8D, (q31_t)0x7DDF9034, (q31_t)0x173C6D80, - (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DCD2981, - (q31_t)0x179F429F, (q31_t)0x7DC3D90D, (q31_t)0x17D0A7BB, - (q31_t)0x7DBA7534, (q31_t)0x1802092C, (q31_t)0x7DB0FDF7, - (q31_t)0x183366E8, (q31_t)0x7DA77359, (q31_t)0x1864C0E9, - (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D9423FB, - (q31_t)0x18C7699B, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, - (q31_t)0x7D808727, (q31_t)0x192A0303, (q31_t)0x7D769BB5, - (q31_t)0x195B49E9, (q31_t)0x7D6C9CE9, (q31_t)0x198C8CE6, - (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D58654C, - (q31_t)0x19EF0706, (q31_t)0x7D4E2C7E, (q31_t)0x1A203E1B, - (q31_t)0x7D43E05E, (q31_t)0x1A517127, (q31_t)0x7D3980EC, - (q31_t)0x1A82A025, (q31_t)0x7D2F0E2A, (q31_t)0x1AB3CB0C, - (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D19EEBE, - (q31_t)0x1B161479, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, - (q31_t)0x7D048228, (q31_t)0x1B784D30, (q31_t)0x7CF9AEF0, - (q31_t)0x1BA96334, (q31_t)0x7CEEC873, (q31_t)0x1BDA74F5, - (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CD8C1AD, - (q31_t)0x1C3C8B8C, (q31_t)0x7CCDA168, (q31_t)0x1C6D9053, - (q31_t)0x7CC26DE5, (q31_t)0x1C9E90B8, (q31_t)0x7CB72724, - (q31_t)0x1CCF8CB3, (q31_t)0x7CABCD27, (q31_t)0x1D00843C, - (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C94DF82, - (q31_t)0x1D6265DD, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, - (q31_t)0x7C7DA504, (q31_t)0x1DC4355D, (q31_t)0x7C71EAF8, - (q31_t)0x1DF5163F, (q31_t)0x7C661DBB, (q31_t)0x1E25F281, - (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4E49B6, - (q31_t)0x1E879D0C, (q31_t)0x7C4242F2, (q31_t)0x1EB86B46, - (q31_t)0x7C362904, (q31_t)0x1EE934C2, (q31_t)0x7C29FBEE, - (q31_t)0x1F19F97B, (q31_t)0x7C1DBBB2, (q31_t)0x1F4AB967, - (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7C0501D1, - (q31_t)0x1FAC2ABF, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, - (q31_t)0x7BEBFB70, (q31_t)0x200D888C, (q31_t)0x7BDF5B94, - (q31_t)0x203E300D, (q31_t)0x7BD2A89E, (q31_t)0x206ED295, - (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BB9096A, - (q31_t)0x20D0089B, (q31_t)0x7BAC1D31, (q31_t)0x21009C0B, - (q31_t)0x7B9F1DE5, (q31_t)0x21312A65, (q31_t)0x7B920B89, - (q31_t)0x2161B39F, (q31_t)0x7B84E61E, (q31_t)0x219237B4, - (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B6A6227, - (q31_t)0x21F3304E, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, - (q31_t)0x7B4F920E, (q31_t)0x225413F8, (q31_t)0x7B420D7A, - (q31_t)0x22847DDF, (q31_t)0x7B3475E4, (q31_t)0x22B4E274, - (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B190DBB, - (q31_t)0x23159B87, (q31_t)0x7B0B3D2C, (q31_t)0x2345EFF7, - (q31_t)0x7AFD59A3, (q31_t)0x23763EF7, (q31_t)0x7AEF6323, - (q31_t)0x23A6887E, (q31_t)0x7AE159AE, (q31_t)0x23D6CC86, - (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AC50DEB, - (q31_t)0x243743FA, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, - (q31_t)0x7AA8766E, (q31_t)0x2497A517, (q31_t)0x7A9A0E4F, - (q31_t)0x24C7CD32, (q31_t)0x7A8B9348, (q31_t)0x24F7EFA1, - (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A6E648A, - (q31_t)0x2558235E, (q31_t)0x7A5FB0D8, (q31_t)0x2588349D, - (q31_t)0x7A50EA46, (q31_t)0x25B84012, (q31_t)0x7A4210D8, - (q31_t)0x25E845B5, (q31_t)0x7A33248F, (q31_t)0x26184581, - (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A151377, - (q31_t)0x26783370, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, - (q31_t)0x79F6B711, (q31_t)0x26D809A5, (q31_t)0x79E76CA6, - (q31_t)0x2707EBC6, (q31_t)0x79D80F6F, (q31_t)0x2737C7E3, - (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79B91CA4, - (q31_t)0x27976DF1, (q31_t)0x79A98715, (q31_t)0x27C737D2, - (q31_t)0x7999DEC3, (q31_t)0x27F6FB92, (q31_t)0x798A23B1, - (q31_t)0x2826B928, (q31_t)0x797A55E0, (q31_t)0x2856708C, - (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x795A820E, - (q31_t)0x28B5CCA5, (q31_t)0x794A7C11, (q31_t)0x28E5714A, - (q31_t)0x793A6360, (q31_t)0x29150FA1, (q31_t)0x792A37FE, - (q31_t)0x2944A7A2, (q31_t)0x7919F9EB, (q31_t)0x29743945, - (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78F945C3, - (q31_t)0x29D34958, (q31_t)0x78E8CFB1, (q31_t)0x2A02C7B8, - (q31_t)0x78D846FB, (q31_t)0x2A323F9D, (q31_t)0x78C7ABA1, - (q31_t)0x2A61B101, (q31_t)0x78B6FDA8, (q31_t)0x2A911BDB, - (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x789569DE, - (q31_t)0x2AEFDDD8, (q31_t)0x78848413, (q31_t)0x2B1F34EB, - (q31_t)0x78738BB3, (q31_t)0x2B4E8558, (q31_t)0x786280BF, - (q31_t)0x2B7DCF17, (q31_t)0x7851633B, (q31_t)0x2BAD1221, - (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x782EF08B, - (q31_t)0x2C0B83F9, (q31_t)0x781D9B64, (q31_t)0x2C3AB2B9, - (q31_t)0x780C33B8, (q31_t)0x2C69DAA6, (q31_t)0x77FAB988, - (q31_t)0x2C98FBBA, (q31_t)0x77E92CD8, (q31_t)0x2CC815ED, - (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77C5DC01, - (q31_t)0x2D263595, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, - (q31_t)0x77A24148, (q31_t)0x2D843963, (q31_t)0x7790583D, - (q31_t)0x2DB330C7, (q31_t)0x777E5CC3, (q31_t)0x2DE2211E, - (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x775A2E88, - (q31_t)0x2E3FEC8B, (q31_t)0x7747FBCE, (q31_t)0x2E6EC792, - (q31_t)0x7735B6AE, (q31_t)0x2E9D9B70, (q31_t)0x77235F2D, - (q31_t)0x2ECC681E, (q31_t)0x7710F54B, (q31_t)0x2EFB2D94, - (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76EBEA77, - (q31_t)0x2F58A2BD, (q31_t)0x76D94988, (q31_t)0x2F875262, - (q31_t)0x76C69646, (q31_t)0x2FB5FAB2, (q31_t)0x76B3D0B3, - (q31_t)0x2FE49BA6, (q31_t)0x76A0F8D2, (q31_t)0x30133538, - (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x767B1230, - (q31_t)0x30705217, (q31_t)0x76680376, (q31_t)0x309ED555, - (q31_t)0x7654E279, (q31_t)0x30CD5114, (q31_t)0x7641AF3C, - (q31_t)0x30FBC54D, (q31_t)0x762E69C3, (q31_t)0x312A31F8, - (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x7607A827, - (q31_t)0x3186F487, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, - (q31_t)0x75E09DBD, (q31_t)0x31E39889, (q31_t)0x75CCFD42, - (q31_t)0x3211DF03, (q31_t)0x75B94A9C, (q31_t)0x32401DC5, - (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7591AEDD, - (q31_t)0x329C8402, (q31_t)0x757DC5CA, (q31_t)0x32CAAB6F, - (q31_t)0x7569CA98, (q31_t)0x32F8CB07, (q31_t)0x7555BD4B, - (q31_t)0x3326E2C2, (q31_t)0x75419DE6, (q31_t)0x3354F29A, - (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x751928E0, - (q31_t)0x33B0FA84, (q31_t)0x7504D345, (q31_t)0x33DEF287, - (q31_t)0x74F06B9E, (q31_t)0x340CE28A, (q31_t)0x74DBF1EF, - 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(q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3, - (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B, - (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90, - (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0, - (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, - (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243, - (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC, - (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44, - (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3, - (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4, - (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB, - (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23, - (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, - (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662, - (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F, - (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0, - (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C, - (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D, - (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB, - (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A, - (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970, - (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76, - (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02, - (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231, - (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74, - (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA, - (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9, - (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01, - (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143, - (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076, - (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3, - (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188, - (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B, - (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65, - (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248, - (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E, - (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69, - (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41, - (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC, - (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E, - (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD, - (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683, - (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7, - (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820, - (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, - (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4, - (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF, - (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C, - (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F, - (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919, - (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC, - (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569, - (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, - (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B, - (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8, - (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E, - (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0, - (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0, - (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B, - (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0, - (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9, - (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D, - (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE -}; - -/** - @brief q15 Twiddle factors Table -*/ - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
fori = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 16, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_16_q15[24] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, - (q15_t)0x7641, (q15_t)0x30FB, - (q15_t)0x5A82, (q15_t)0x5A82, - (q15_t)0x30FB, (q15_t)0x7641, - (q15_t)0x0000, (q15_t)0x7FFF, - (q15_t)0xCF04, (q15_t)0x7641, - (q15_t)0xA57D, (q15_t)0x5A82, - (q15_t)0x89BE, (q15_t)0x30FB, - (q15_t)0x8000, (q15_t)0x0000, - (q15_t)0x89BE, (q15_t)0xCF04, - (q15_t)0xA57D, (q15_t)0xA57D, - (q15_t)0xCF04, (q15_t)0x89BE -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 32, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_32_q15[48] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, - (q15_t)0x7D8A, (q15_t)0x18F8, - (q15_t)0x7641, (q15_t)0x30FB, - (q15_t)0x6A6D, (q15_t)0x471C, - (q15_t)0x5A82, (q15_t)0x5A82, - (q15_t)0x471C, (q15_t)0x6A6D, - (q15_t)0x30FB, (q15_t)0x7641, - (q15_t)0x18F8, (q15_t)0x7D8A, - (q15_t)0x0000, (q15_t)0x7FFF, - (q15_t)0xE707, (q15_t)0x7D8A, - (q15_t)0xCF04, (q15_t)0x7641, - (q15_t)0xB8E3, (q15_t)0x6A6D, - (q15_t)0xA57D, (q15_t)0x5A82, - (q15_t)0x9592, (q15_t)0x471C, - (q15_t)0x89BE, (q15_t)0x30FB, - (q15_t)0x8275, (q15_t)0x18F8, - (q15_t)0x8000, (q15_t)0x0000, - (q15_t)0x8275, (q15_t)0xE707, - (q15_t)0x89BE, (q15_t)0xCF04, - (q15_t)0x9592, (q15_t)0xB8E3, - (q15_t)0xA57D, (q15_t)0xA57D, - (q15_t)0xB8E3, (q15_t)0x9592, - (q15_t)0xCF04, (q15_t)0x89BE, - (q15_t)0xE707, (q15_t)0x8275 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 64, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_64_q15[96] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B, - (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528, - (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56, - (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133, - (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2, - (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2, - (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D, - (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62, - (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62, - (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D, - (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2, - (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2, - (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133, - (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56, - (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528, - (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B, - (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374, - (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7, - (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 128, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_128_q15[192] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8, - (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19, - (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F, - (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA, - (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE, - (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F, - (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5, - (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7, - (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF, - (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA, - (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5, - (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884, - (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29, - (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D, - (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8, - (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8, - (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D, - (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29, - (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884, - (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5, - (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA, - (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF, - (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7, - (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5, - (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F, - (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE, - (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA, - (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F, - (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19, - (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8, - (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647, - (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8, - (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37, - (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6, - (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0, - (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945, - (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0, - (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128, - (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235, - (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 256, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_256_q15[384] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324, - (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB, - (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2, - (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B, - (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223, - (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826, - (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11, - (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE, - (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C, - (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17, - (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A, - (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4, - (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF, - (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B, - (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842, - (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4, - (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC, - (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8, - (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6, - (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24, - (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F, - (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255, - (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504, - (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C, - (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A, - (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D, - (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3, - (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D, - (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09, - (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7, - (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6, - (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6, - (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7, - (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09, - (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D, - (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3, - (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D, - (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A, - (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C, - (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504, - (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255, - (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F, - (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24, - (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6, - (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8, - (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC, - (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4, - (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842, - (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B, - (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF, - (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4, - (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A, - (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17, - (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C, - (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE, - (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11, - (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826, - (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223, - (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B, - (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2, - (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB, - (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A, - (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324, - (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB, - (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695, - (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054, - (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D, - (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4, - (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC, - (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9, - (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE, - (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21, - (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673, - (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8, - (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B, - (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140, - (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64, - (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B, - (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13, - (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17, - (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB, - (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0, - (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA, - (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893, - (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2, - (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2, - (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058, - (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 512, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_512_q15[768] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192, - (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6, - (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9, - (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B, - (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139, - (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455, - (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D, - (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82, - (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93, - (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F, - (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6, - (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8, - (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3, - (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98, - (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87, - (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E, - (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D, - (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824, - (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2, - (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8, - (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073, - (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325, - (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD, - (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869, - (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB, - (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81, - (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB, - (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269, - (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA, - (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D, - (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964, - (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D, - (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7, - (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3, - (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1, - (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF, - (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD, - (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD, - (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C, - (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A, - (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9, - (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96, - (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023, - (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E, - (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307, - (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F, - (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5, - (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9, - (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA, - (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909, - (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05, - (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF, - (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5, - (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89, - (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39, - (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6, - (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F, - (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5, - (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38, - (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87, - (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2, - (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9, - (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD, - (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD, - (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9, - (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2, - (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87, - (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38, - (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5, - (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F, - (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6, - (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39, - (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89, - (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5, - (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF, - (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05, - (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909, - (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA, - (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9, - (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5, - (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F, - (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307, - (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E, - (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023, - (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96, - (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9, - (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A, - (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C, - (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD, - (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD, - (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF, - (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1, - (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3, - (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7, - (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D, - (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964, - (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D, - (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA, - (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269, - (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB, - (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81, - (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB, - (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869, - (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD, - (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325, - (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073, - (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8, - (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2, - (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824, - (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D, - (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E, - (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87, - (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98, - (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3, - (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8, - (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6, - (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F, - (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93, - (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82, - (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D, - (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455, - (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139, - (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B, - (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB, - (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9, - (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6, - (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192, - (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D, - (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49, - (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826, - (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504, - (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4, - (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6, - (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA, - (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892, - (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D, - (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C, - (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60, - (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59, - (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957, - (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C, - (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367, - (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078, - (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91, - (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2, - (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB, - (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D, - (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247, - (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C, - (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA, - (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796, - (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504, - (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E, - (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004, - (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96, - (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35, - (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2, - (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462, - (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238, - (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C, - (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E, - (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10, - (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22, - (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842, - (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5, - (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306, - (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169, - (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC, - (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61, - (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8, - (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0, - (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926, - (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805, - (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6, - (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510, - (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A, - (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376, - (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229, - (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0, - (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A, - (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078, - (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D, - (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016, - (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 1024, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - - */ -const q15_t twiddleCoef_1024_q15[1536] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9, - (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B, - (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED, - (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F, - (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710, - (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2, - (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33, - (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53, - (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3, - (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072, - (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201, - (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E, - (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B, - (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8, - (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833, - (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD, - (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47, - (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF, - (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56, - (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC, - (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161, - (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5, - (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467, - (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8, - (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767, - (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5, - (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61, - (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC, - (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55, - (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC, - (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041, - (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5, - (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326, - (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496, - (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604, - (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F, - (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8, - (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40, - (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5, - (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07, - (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68, - (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5, - (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121, - (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A, - (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0, - (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524, - (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675, - (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3, - (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F, - (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58, - (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E, - (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1, - (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21, - (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E, - (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097, - (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE, - (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302, - (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433, - (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560, - (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A, - (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0, - (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4, - (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3, - (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10, - (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29, - (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E, - (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50, - (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E, - (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068, - (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F, - (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271, - (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371, - (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C, - (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563, - (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657, - (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746, - (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832, - (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919, - (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD, - (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC, - (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8, - (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F, - (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62, - (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30, - (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB, - (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1, - (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083, - (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141, - (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA, - (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF, - (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F, - (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x3604, (q15_t)0x740B, - (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x3496, (q15_t)0x74B2, - (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3326, (q15_t)0x7555, - (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x31B5, (q15_t)0x75F4, - (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x3041, (q15_t)0x768E, - (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2ECC, (q15_t)0x7723, - (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2D55, (q15_t)0x77B4, - (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2BDC, (q15_t)0x7840, - (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2A61, (q15_t)0x78C7, - (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x28E5, (q15_t)0x794A, - (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x2767, (q15_t)0x79C8, - (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x25E8, (q15_t)0x7A42, - (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2467, (q15_t)0x7AB6, - (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x22E5, (q15_t)0x7B26, - (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x2161, (q15_t)0x7B92, - (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x1FDC, (q15_t)0x7BF8, - (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1E56, (q15_t)0x7C5A, - (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1CCF, (q15_t)0x7CB7, - (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1B47, (q15_t)0x7D0F, - (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x19BD, (q15_t)0x7D62, - (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1833, (q15_t)0x7DB0, - (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x16A8, (q15_t)0x7DFA, - (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x151B, (q15_t)0x7E3F, - (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x138E, (q15_t)0x7E7F, - (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1201, (q15_t)0x7EBA, - (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1072, (q15_t)0x7EF0, - (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0EE3, (q15_t)0x7F21, - (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0D53, (q15_t)0x7F4D, - (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0BC3, (q15_t)0x7F75, - (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A33, (q15_t)0x7F97, - (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x08A2, (q15_t)0x7FB5, - (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0710, (q15_t)0x7FCE, - (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x057F, (q15_t)0x7FE1, - (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x03ED, (q15_t)0x7FF0, - (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x025B, (q15_t)0x7FFA, - (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x00C9, (q15_t)0x7FFF, - (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF36, (q15_t)0x7FFF, - (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFDA4, (q15_t)0x7FFA, - (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC12, (q15_t)0x7FF0, - (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFA80, (q15_t)0x7FE1, - (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF8EF, (q15_t)0x7FCE, - (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF75D, (q15_t)0x7FB5, - (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF5CC, (q15_t)0x7F97, - (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF43C, (q15_t)0x7F75, - (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF2AC, (q15_t)0x7F4D, - (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF11C, (q15_t)0x7F21, - (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEF8D, (q15_t)0x7EF0, - (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEDFE, (q15_t)0x7EBA, - (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEC71, (q15_t)0x7E7F, - (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEAE4, (q15_t)0x7E3F, - (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE957, (q15_t)0x7DFA, - (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE7CC, (q15_t)0x7DB0, - (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE642, (q15_t)0x7D62, - (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE4B8, (q15_t)0x7D0F, - (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE330, (q15_t)0x7CB7, - (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE1A9, (q15_t)0x7C5A, - (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE023, (q15_t)0x7BF8, - (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDE9E, (q15_t)0x7B92, - (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD1A, (q15_t)0x7B26, - (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDB98, (q15_t)0x7AB6, - (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA17, (q15_t)0x7A42, - (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD898, (q15_t)0x79C8, - (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD71A, (q15_t)0x794A, - (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD59E, (q15_t)0x78C7, - (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD423, (q15_t)0x7840, - (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD2AA, (q15_t)0x77B4, - (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD133, (q15_t)0x7723, - (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xCFBE, (q15_t)0x768E, - (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCE4A, (q15_t)0x75F4, - (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCCD9, (q15_t)0x7555, - (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCB69, (q15_t)0x74B2, - (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xC9FB, (q15_t)0x740B, - (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC890, (q15_t)0x735F, - 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(q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8145, (q15_t)0xEDFE, - (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8180, (q15_t)0xEC71, - (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81C0, (q15_t)0xEAE4, - (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8205, (q15_t)0xE957, - (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x824F, (q15_t)0xE7CC, - (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x829D, (q15_t)0xE642, - (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82F0, (q15_t)0xE4B8, - (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8348, (q15_t)0xE330, - (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x83A5, (q15_t)0xE1A9, - (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x8407, (q15_t)0xE023, - (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x846D, (q15_t)0xDE9E, - (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84D9, (q15_t)0xDD1A, - (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x8549, (q15_t)0xDB98, - (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85BD, (q15_t)0xDA17, - (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8637, (q15_t)0xD898, - (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86B5, (q15_t)0xD71A, - (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8738, (q15_t)0xD59E, - (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x87BF, (q15_t)0xD423, - (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x884B, (q15_t)0xD2AA, - (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88DC, (q15_t)0xD133, - (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8971, (q15_t)0xCFBE, - (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A0B, (q15_t)0xCE4A, - (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8AAA, (q15_t)0xCCD9, - (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B4D, (q15_t)0xCB69, - (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BF4, (q15_t)0xC9FB, - (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CA0, (q15_t)0xC890, - (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D50, (q15_t)0xC727, - (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E05, (q15_t)0xC5BF, - (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8EBE, (q15_t)0xC45A, - (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F7C, (q15_t)0xC2F8, - (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x903E, (q15_t)0xC197, - (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9104, (q15_t)0xC03A, - (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x91CF, (q15_t)0xBEDE, - (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x929D, (q15_t)0xBD85, - (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9370, (q15_t)0xBC2F, - (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9447, (q15_t)0xBADB, - (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x9523, (q15_t)0xB98A, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9602, (q15_t)0xB83C, - (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96E6, (q15_t)0xB6F0, - (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x97CD, (q15_t)0xB5A7, - (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x98B9, (q15_t)0xB461, - (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x99A8, (q15_t)0xB31E, - (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A9C, (q15_t)0xB1DE, - (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B93, (q15_t)0xB0A1, - (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C8E, (q15_t)0xAF68, - (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D8E, (q15_t)0xAE31, - (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E90, (q15_t)0xACFD, - (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F97, (q15_t)0xABCC, - (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA0A1, (q15_t)0xAA9F, - (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975, - (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F, - (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B, - (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF, - (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6, - (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1, - (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF, - (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1, - (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97, - (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90, - (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E, - (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E, - (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93, - (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C, - (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8, - (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9, - (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD, - (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6, - (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523, - (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447, - (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370, - (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D, - (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF, - (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104, - (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E, - (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C, - (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE, - (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05, - (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50, - (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0, - (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4, - (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D, - (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA, - (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971, - (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC, - (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B, - (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF, - (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738, - (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5, - (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637, - (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549, - (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9, - (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D, - (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407, - (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5, - (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348, - (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0, - (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F, - (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205, - (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0, - (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180, - (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145, - (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F, - (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE, - (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A, - (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068, - (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A, - (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031, - (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E, - (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F, - (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005, - (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 2048, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_2048_q15[3072] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064, - (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D, - (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6, - (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF, - (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388, - (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451, - (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A, - (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3, - (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC, - (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775, - (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D, - (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906, - (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE, - (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97, - (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F, - (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF, - (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7, - (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F, - (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47, - (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E, - (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6, - (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D, - (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264, - (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B, - (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2, - (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8, - (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F, - (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645, - 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(q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E90, (q15_t)0xC4B3, - (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8EED, (q15_t)0xC402, - (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F4C, (q15_t)0xC350, - (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8FAC, (q15_t)0xC29F, - (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x900D, (q15_t)0xC1EF, - (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x906F, (q15_t)0xC140, - (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90D2, (q15_t)0xC091, - (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x9136, (q15_t)0xBFE2, - (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x919C, (q15_t)0xBF35, - (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x9202, (q15_t)0xBE88, - (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9269, (q15_t)0xBDDB, - (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92D2, (q15_t)0xBD2F, - (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x933B, (q15_t)0xBC84, - (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x93A6, (q15_t)0xBBDA, - (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9411, (q15_t)0xBB30, - (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x947E, (q15_t)0xBA87, - (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94EC, (q15_t)0xB9DE, - (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x955A, (q15_t)0xB936, - (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95CA, (q15_t)0xB88F, - (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x963B, (q15_t)0xB7E9, - (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96AC, (q15_t)0xB743, - (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x971F, (q15_t)0xB69E, - (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9793, (q15_t)0xB5F9, - (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x9808, (q15_t)0xB556, - (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x987D, (q15_t)0xB4B3, - (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98F4, (q15_t)0xB410, - (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x996C, (q15_t)0xB36F, - (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99E5, (q15_t)0xB2CE, - (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A5F, (q15_t)0xB22E, - (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9AD9, (q15_t)0xB18F, - (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B55, (q15_t)0xB0F0, - (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BD2, (q15_t)0xB053, - (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C4F, (q15_t)0xAFB6, - (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CCE, (q15_t)0xAF1A, - (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D4D, (q15_t)0xAE7E, - (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DCE, (q15_t)0xADE3, - (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E4F, (q15_t)0xAD4A, - (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9ED2, (q15_t)0xACB1, - (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F55, (q15_t)0xAC18, - (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FD9, (q15_t)0xAB81, - (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA05F, (q15_t)0xAAEA, - (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0E5, (q15_t)0xAA54, - (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA16C, (q15_t)0xA9BF, - (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1F4, (q15_t)0xA92B, - (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA27C, (q15_t)0xA898, - (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA306, (q15_t)0xA806, - (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA391, (q15_t)0xA774, - (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA41C, (q15_t)0xA6E3, - (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4A9, (q15_t)0xA653, - (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA536, (q15_t)0xA5C4, - (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5C4, (q15_t)0xA536, - (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA653, (q15_t)0xA4A9, - (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6E3, (q15_t)0xA41C, - (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA774, (q15_t)0xA391, - (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA806, (q15_t)0xA306, - (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA898, (q15_t)0xA27C, - (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA92B, (q15_t)0xA1F4, - (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA9BF, (q15_t)0xA16C, - (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA54, (q15_t)0xA0E5, - (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAEA, (q15_t)0xA05F, - (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB81, (q15_t)0x9FD9, - (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xAC18, (q15_t)0x9F55, - (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACB1, (q15_t)0x9ED2, - (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD4A, (q15_t)0x9E4F, - (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADE3, (q15_t)0x9DCE, - (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE7E, (q15_t)0x9D4D, - (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF1A, (q15_t)0x9CCE, - (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAFB6, (q15_t)0x9C4F, - (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB053, (q15_t)0x9BD2, - (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0F0, (q15_t)0x9B55, - (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB18F, (q15_t)0x9AD9, - (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB22E, (q15_t)0x9A5F, - (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2CE, (q15_t)0x99E5, - (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB36F, (q15_t)0x996C, - (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB410, (q15_t)0x98F4, - (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB4B3, (q15_t)0x987D, - (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB556, (q15_t)0x9808, - (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5F9, (q15_t)0x9793, - (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB69E, (q15_t)0x971F, - (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB743, (q15_t)0x96AC, - (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7E9, (q15_t)0x963B, - (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB88F, (q15_t)0x95CA, - (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB936, (q15_t)0x955A, - (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9DE, (q15_t)0x94EC, - (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA87, (q15_t)0x947E, - 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(q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6CD, (q15_t)0x8D7D, - (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC781, (q15_t)0x8D24, - (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC835, (q15_t)0x8CCC, - (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8EB, (q15_t)0x8C75, - (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9A0, (q15_t)0x8C1F, - (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA57, (q15_t)0x8BCA, - (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB0D, (q15_t)0x8B76, - (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCBC5, (q15_t)0x8B24, - (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC7D, (q15_t)0x8AD2, - (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD35, (q15_t)0x8A82, - (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDEE, (q15_t)0x8A33, - (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCEA7, (q15_t)0x89E4, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF61, (q15_t)0x8997, - (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xD01B, (q15_t)0x894C, - (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0D6, (q15_t)0x8901, - (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD191, (q15_t)0x88B8, - (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD24C, (q15_t)0x886F, - (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD308, (q15_t)0x8828, - (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD3C5, (q15_t)0x87E2, - (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD482, (q15_t)0x879D, - (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD53F, (q15_t)0x8759, - (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5FD, (q15_t)0x8717, - (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD6BB, (q15_t)0x86D5, - (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD779, (q15_t)0x8695, - (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD838, (q15_t)0x8656, - (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8F8, (q15_t)0x8618, - (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD9B7, (q15_t)0x85DB, - (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA77, (q15_t)0x85A0, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB38, (q15_t)0x8565, - (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBF8, (q15_t)0x852C, - (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDCBA, (q15_t)0x84F4, - (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD7B, (q15_t)0x84BD, - (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE3D, (q15_t)0x8488, - (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDEFF, (q15_t)0x8453, - (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDFC1, (q15_t)0x8420, - (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE084, (q15_t)0x83EE, - (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE147, (q15_t)0x83BD, - (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE20A, (q15_t)0x838E, - (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE2CE, (q15_t)0x835F, - (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE392, (q15_t)0x8332, - (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306, - (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB, - (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1, - (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262, - (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C, - (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217, - (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3, - (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1, - (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0, - (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190, - (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171, - (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154, - (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137, - (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C, - (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102, - (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA, - (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2, - (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC, - (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094, - (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081, - (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070, - (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060, - (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051, - (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043, - (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037, - (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C, - (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022, - (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A, - (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012, - (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C, - (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007, - (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003, - (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001, - (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000 -}; - -/** - @par - Example code for q15 Twiddle factors Generation:: - @par - 
for (i = 0; i< 3N/4; i++)
-  {
-     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
-     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
-  }
- @par - where N = 4096, PI = 3.14159265358979 - @par - Cos and Sin values are interleaved fashion - @par - Convert Floating point to q15(Fixed point 1.15): - round(twiddleCoefq15(i) * pow(2, 15)) - */ -const q15_t twiddleCoef_4096_q15[6144] ARM_DSP_TABLE_ATTRIBUTE = -{ - (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032, - (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096, - (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB, - (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F, - (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4, - (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228, - (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D, - (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1, - (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356, - (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA, - (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F, - (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483, - (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8, - (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C, - (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1, - (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615, - (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A, - (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE, - (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742, - (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7, - (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B, - (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F, - (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4, - (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938, - (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C, - (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00, - (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65, - (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9, - (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D, - (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91, - (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5, - (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59, - (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD, - (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21, - (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85, - (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9, - (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D, - (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1, - (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15, - (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79, - (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD, - (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040, - (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4, - (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108, - (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B, - (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF, - 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(q15_t)0xC835, (q15_t)0x8CCC, (q15_t)0xC863, (q15_t)0x8CB6, - (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8BD, (q15_t)0x8C8A, - (q15_t)0xC8EB, (q15_t)0x8C75, (q15_t)0xC918, (q15_t)0x8C5F, - (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC973, (q15_t)0x8C34, - (q15_t)0xC9A0, (q15_t)0x8C1F, (q15_t)0xC9CE, (q15_t)0x8C09, - (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA29, (q15_t)0x8BDF, - (q15_t)0xCA57, (q15_t)0x8BCA, (q15_t)0xCA84, (q15_t)0x8BB5, - (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCAE0, (q15_t)0x8B8B, - (q15_t)0xCB0D, (q15_t)0x8B76, (q15_t)0xCB3B, (q15_t)0x8B61, - (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCB97, (q15_t)0x8B38, - (q15_t)0xCBC5, (q15_t)0x8B24, (q15_t)0xCBF3, (q15_t)0x8B0F, - (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC4F, (q15_t)0x8AE6, - (q15_t)0xCC7D, (q15_t)0x8AD2, (q15_t)0xCCAB, (q15_t)0x8ABE, - (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD07, (q15_t)0x8A96, - (q15_t)0xCD35, (q15_t)0x8A82, (q15_t)0xCD63, (q15_t)0x8A6E, - (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDBF, (q15_t)0x8A46, - (q15_t)0xCDEE, (q15_t)0x8A33, (q15_t)0xCE1C, (q15_t)0x8A1F, - (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCE79, (q15_t)0x89F8, - (q15_t)0xCEA7, (q15_t)0x89E4, (q15_t)0xCED5, (q15_t)0x89D1, - (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF32, (q15_t)0x89AB, - (q15_t)0xCF61, (q15_t)0x8997, (q15_t)0xCF8F, (q15_t)0x8984, - (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xCFEC, (q15_t)0x895F, - (q15_t)0xD01B, (q15_t)0x894C, (q15_t)0xD04A, (q15_t)0x8939, - (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0A7, (q15_t)0x8914, - (q15_t)0xD0D6, (q15_t)0x8901, (q15_t)0xD104, (q15_t)0x88EF, - (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD162, (q15_t)0x88CA, - (q15_t)0xD191, (q15_t)0x88B8, (q15_t)0xD1C0, (q15_t)0x88A5, - (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD21D, (q15_t)0x8881, - (q15_t)0xD24C, (q15_t)0x886F, (q15_t)0xD27B, (q15_t)0x885D, - (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD2D9, (q15_t)0x883A, - (q15_t)0xD308, (q15_t)0x8828, (q15_t)0xD337, (q15_t)0x8816, - (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3, - (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1, - (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE, - (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C, - (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A, - (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749, - (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727, - (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706, - (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6, - (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5, - (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5, - (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685, - (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666, - (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646, - (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627, - (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609, - (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA, - (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC, - (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF, - (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591, - (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574, - (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557, - (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A, - (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E, - (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502, - (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6, - (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB, - (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0, - (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495, - (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B, - (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460, - (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446, - (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D, - (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414, - (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA, - (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2, - (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9, - (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1, - (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399, - (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382, - (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B, - (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354, - (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D, - (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327, - (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311, - (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB, - (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6, - (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0, - (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC, - (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7, - (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293, - (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F, - (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B, - (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258, - (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245, - (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232, - (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220, - (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E, - (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC, - (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB, - (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9, - (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8, - (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8, - (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8, - (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198, - (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188, - (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179, - (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A, - (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B, - (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C, - (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E, - (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130, - (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123, - (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116, - (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109, - (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC, - (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0, - (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4, - (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8, - (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD, - (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2, - (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7, - (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC, - (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2, - (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098, - (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F, - (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086, - (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D, - (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074, - (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C, - (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064, - (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C, - (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055, - (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E, - (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047, - (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040, - (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A, - (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034, - (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F, - (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029, - (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025, - (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020, - (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C, - (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018, - (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014, - (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011, - (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D, - (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B, - (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008, - (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006, - (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004, - (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003, - (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001, - (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000, - (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000, - (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000 -}; - - -/** - @} end of CFFT_CIFFT group -*/ - - -const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 12 */ - 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 -}; - -const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 24 */ - 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, - 88,208, 104,176, 120,240, 152,200, 184,232 -}; - -const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 56 */ - 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, - 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, - 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 -}; - -const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 112 */ - 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, - 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, - 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, - 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, - 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, - 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 -}; - -const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 240 */ - 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, - 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, - 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, - 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, - 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, - 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, - 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, - 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, - 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, - 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, - 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, - 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, - 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, - 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 -}; - -const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 480 */ - 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, - 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, - 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, - 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, - 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, - 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, - 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, - 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, - 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, - 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, - 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, - 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, - 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, - 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, - 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, - 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, - 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, - 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, - 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, - 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, - 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, - 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, - 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, - 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, - 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, - 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, - 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, - 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, - 3512,3800, 3576,4056, 3704,3896, 3832,4024 -}; - -const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 992 */ - 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, - 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, - 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, - 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, - 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, - 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, - 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, - 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, - 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, - 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, - 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, - 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, - 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, - 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, - 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, - 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, - 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, - 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, - 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, - 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, - 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, - 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, - 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, - 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, - 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, - 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, - 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, - 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, - 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, - 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, - 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, - 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, - 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, - 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, - 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, - 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, - 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, - 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, - 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, - 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, - 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, - 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, - 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, - 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, - 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, - 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, - 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, - 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, - 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, - 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, - 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, - 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, - 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, - 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, - 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, - 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, - 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, - 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, - 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, - 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, - 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, - 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, - 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, - 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, - 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, - 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, - 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, - 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, - 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 -}; - -const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 1984 */ - 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, - 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, - 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, - 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, - 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, - 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, - 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, - 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, - 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, - 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, - 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, - 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, - 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, - 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, - 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, - 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, - 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, - 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, - 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, - 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, - 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, - 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, - 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, - 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, - 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, - 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, - 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, - 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, - 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, - 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, - 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, - 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, - 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, - 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, - 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, - 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, - 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, - 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, - 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, - 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, - 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, - 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, - 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, - 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, - 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, - 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, - 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, - 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, - 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, - 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, - 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, - 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, - 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, - 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, - 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, - 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, - 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, - 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, - 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, - 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, - 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, - 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, - 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, - 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, - 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, - 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, - 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, - 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, - 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, - 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, - 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, - 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, - 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, - 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, - 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, - 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, - 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, - 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, - 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, - 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, - 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, - 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, - 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, - 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, - 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, - 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, - 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, - 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, - 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, - 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, - 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, - 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, - 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, - 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, - 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, - 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, - 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, - 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, - 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, - 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, - 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, - 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, - 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, - 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, - 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, - 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, - 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, - 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, - 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, - 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, - 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, - 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, - 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, - 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, - 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, - 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, - 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, - 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, - 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, - 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, - 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, - 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, - 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, - 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, - 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, - 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, - 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, - 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, - 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, - 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, - 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, - 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, - 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, - 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, - 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, - 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, - 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, - 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, - 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, - 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, - 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, - 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, - 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, - 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, - 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, - 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, - 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, - 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, - 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, - 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, - 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 -}; - -const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 4032 */ - 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, - 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, - 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, - 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, - 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, - 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, - 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, - 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, - 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, - 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, - 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, - 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, - 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, - 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, - 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, - 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, - 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, - 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, - 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, - 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, - 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, - 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, - 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, - 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, - 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, - 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, - 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, - 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, - 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, - 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, - 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, - 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, - 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, - 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, - 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, - 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, - 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, - 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, - 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, - 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, - 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, - 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, - 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, - 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, - 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, - 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, - 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, - 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, - 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, - 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, - 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, - 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, - 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, - 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, - 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, - 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, - 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, - 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, - 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, - 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, - 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, - 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, - 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, - 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, - 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, - 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, - 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, - 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, - 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, - 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, - 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, - 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, - 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, - 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, - 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, - 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, - 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, - 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, - 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, - 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, - 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, - 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, - 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, - 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15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, - 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, - 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, - 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, - 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, - 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, - 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, - 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, - 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, - 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, - 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, - 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, - 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, - 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, - 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, - 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, - 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, - 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, - 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, - 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, - 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, - 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, - 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, - 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, - 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, - 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, - 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, - 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, - 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, - 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, - 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, - 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, - 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, - 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, - 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, - 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, - 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, - 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, - 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, - 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, - 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, - 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, - 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, - 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, - 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, - 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, - 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, - 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, - 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, - 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, - 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, - 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, - 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, - 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, - 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, - 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, - 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, - 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, - 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, - 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, - 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, - 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, - 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, - 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, - 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, - 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, - 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, - 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, - 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, - 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, - 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, - 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, - 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, - 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, - 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, - 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, - 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, - 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, - 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, - 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, - 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, - 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, - 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, - 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, - 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, - 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, - 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, - 31480,32120, 31736,32632, 32248,32504 -}; - -const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x2, size 20 */ - 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 -}; - -const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x4, size 48 */ - 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, - 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, - 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 -}; - -const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 8, size 56 */ - 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, - 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, - 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, - 368,424, 376,488, 440,496 -}; - - -const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x2, size 208 */ - 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, - 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, - 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, - 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, - 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, - 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, - 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, - 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, - 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, - 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, - 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, - 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, - 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 -}; - -const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x4, size 440 */ - 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, - 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, - 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, - 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, - 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, - 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, - 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, - 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, - 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, - 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, - 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, - 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, - 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, - 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, - 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, - 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, - 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, - 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, - 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, - 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, - 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, - 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, - 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, - 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, - 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, - 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, - 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, - 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, - 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, - 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, - 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, - 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, - 1960,1968, 2008,2032, 1992,2016, 2024,2032 -}; - -const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 8, size 448 */ - 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, - 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, - 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, - 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, - 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, - 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, - 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, - 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, - 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, - 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, - 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, - 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, - 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, - 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, - 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, - 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, - 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, - 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, - 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, - 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, - 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, - 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, - 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, - 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, - 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, - 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, - 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, - 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, - 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, - 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, - 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, - 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, - 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, - 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, - 3448,3952, 3512,4016, 3576,4080 -}; - -const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x2, size 1800 */ - 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, - 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, - 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, - 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, - 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, - 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, - 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, - 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, - 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, - 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, - 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, - 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, - 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, - 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, - 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, - 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, - 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, - 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, - 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, - 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, - 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, - 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, - 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, - 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, - 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, - 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, - 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, - 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, - 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, - 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, - 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, - 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, - 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, - 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, - 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, - 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, - 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, - 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, - 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, - 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, - 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, - 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, - 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, - 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, - 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, - 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, - 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, - 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, - 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, - 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, - 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, - 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, - 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, - 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, - 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, - 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, - 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, - 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, - 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, - 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, - 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, - 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, - 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, - 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, - 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, - 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, - 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, - 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, - 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, - 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, - 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, - 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, - 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, - 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, - 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, - 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, - 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, - 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, - 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, - 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, - 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, - 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, - 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, - 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, - 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, - 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, - 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, - 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, - 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, - 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, - 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, - 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, - 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, - 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, - 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, - 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, - 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, - 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, - 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, - 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, - 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, - 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, - 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, - 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, - 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, - 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, - 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, - 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, - 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, - 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, - 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, - 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, - 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, - 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, - 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, - 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, - 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, - 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, - 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, - 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, - 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, - 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, - 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, - 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, - 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, - 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, - 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, - 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, - 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, - 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, - 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, - 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, - 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, - 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, - 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, - 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, - 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, - 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, - 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, - 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, - 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, - 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, - 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, - 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, - 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, - 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, - 8112,8136, 8120,8168, 8136,8160, 8152,8176 -}; - -const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 8x2, size 3808 */ - 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, - 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, - 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, - 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, - 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, - 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, - 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, - 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, - 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, - 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, - 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, - 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, - 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, - 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, - 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, - 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, - 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, - 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, - 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, - 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, - 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, - 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, - 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, - 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, - 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, - 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, - 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, - 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, - 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, - 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, - 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, - 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, - 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, - 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, - 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, - 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, - 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, - 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, - 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, - 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, - 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, - 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, - 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, - 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, - 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, - 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, - 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, - 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, - 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, - 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, - 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, - 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, - 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, - 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, - 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, - 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, - 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, - 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, - 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, - 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, - 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, - 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, - 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, - 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, - 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10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968, - 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368, - 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440, - 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488, - 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528, - 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400, - 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440, - 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552, - 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056, - 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424, - 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760, - 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008, - 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408, - 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648, - 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120, - 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440, - 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656, - 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552, - 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160, - 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720, - 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760, - 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672, - 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624, - 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728, - 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736, - 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608, - 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512, - 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760, - 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296, - 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664, - 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712, - 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816, - 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824, - 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696, - 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832, - 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544, - 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584, - 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496, - 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688, - 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920, - 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344, - 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576, - 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400, - 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448, - 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696, - 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816, - 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344, - 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, - 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, - 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, - 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, - 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, - 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, - 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, - 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, - 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, - 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, - 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, - 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, - 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, - 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, - 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, - 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, - 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, - 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, - 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, - 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, - 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, - 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, - 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, - 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, - 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, - 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, - 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, - 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, - 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, - 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, - 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, - 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, - 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, - 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, - 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, - 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, - 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, - 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, - 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, - 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, - 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, - 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, - 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, - 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, - 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, - 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, - 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, - 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, - 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, - 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, - 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, - 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, - 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, - 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, - 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, - 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, - 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, - 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, - 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, - 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, - 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, - 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, - 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, - 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, - 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, - 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, - 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, - 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, - 16328,16352, 16360,16368 -}; - -const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 8, size 4032 */ - 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, - 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, - 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, - 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, - 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, - 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, - 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, - 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, - 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, - 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, - 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, - 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, - 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, - 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, - 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, - 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, - 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, - 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, - 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, - 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, - 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, - 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, - 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, - 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, - 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, - 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, - 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, - 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, - 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, - 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, - 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, - 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, - 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, - 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, - 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, - 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, - 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, - 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, - 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, - 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, - 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, - 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, - 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, - 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, - 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, - 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, - 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, - 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, - 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, - 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, - 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, - 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, - 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, - 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, - 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, - 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, - 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, - 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, - 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, - 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, - 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, - 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, - 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, - 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, - 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, - 3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, - 3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, - 3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, - 3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, - 3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, - 3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, - 3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, - 3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, - 3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, - 3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, - 4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, - 4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, - 4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, - 4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, - 4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, - 4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152, - 4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728, - 4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144, - 4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560, - 4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976, - 4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456, - 4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968, - 4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384, - 4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800, - 4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216, - 4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792, - 4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208, - 4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624, - 5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040, - 5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520, - 5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032, - 5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544, - 5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960, - 5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376, - 5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792, - 5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368, - 5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784, - 5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200, - 5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680, - 5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192, - 5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704, - 5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216, - 5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632, - 5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048, - 5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464, - 6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880, - 6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456, - 6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936, - 6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448, - 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18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, - 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, - 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, - 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, - 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, - 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, - 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, - 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, - 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, - 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, - 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, - 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, - 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, - 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, - 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, - 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, - 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, - 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, - 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, - 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, - 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, - 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, - 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, - 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, - 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, - 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, - 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, - 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, - 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, - 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, - 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, - 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, - 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, - 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, - 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, - 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, - 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, - 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, - 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, - 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, - 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, - 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, - 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, - 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, - 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, - 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, - 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, - 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, - 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, - 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, - 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, - 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, - 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, - 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, - 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, - 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, - 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, - 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, - 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, - 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, - 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, - 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, - 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, - 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, - 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, - 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, - 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, - 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, - 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, - 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, - 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, - 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, - 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, - 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, - 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, - 32248,32696 -}; - -const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 12 */ - 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 -}; - -const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 24 */ - 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, - 88,208, 104,176, 120,240, 152,200, 184,232 -}; - -const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 56 */ - 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, - 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, - 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 -}; - -const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 112 */ - 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, - 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, - 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, - 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, - 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, - 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 -}; - -const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 240 */ - 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, - 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, - 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, - 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, - 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, - 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, - 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, - 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, - 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, - 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, - 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, - 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, - 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, - 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 -}; - -const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 480 */ - 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, - 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, - 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, - 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, - 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, - 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, - 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, - 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, - 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, - 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, - 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, - 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, - 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, - 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, - 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, - 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, - 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, - 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, - 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, - 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, - 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, - 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, - 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, - 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, - 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, - 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, - 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, - 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, - 3512,3800, 3576,4056, 3704,3896, 3832,4024 -}; - -const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 992 */ - 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, - 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, - 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, - 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, - 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, - 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, - 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, - 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, - 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, - 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, - 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, - 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, - 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, - 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, - 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, - 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, - 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, - 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, - 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, - 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, - 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, - 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, - 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, - 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, - 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, - 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, - 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, - 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, - 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, - 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, - 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, - 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, - 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, - 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, - 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, - 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, - 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, - 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, - 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, - 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, - 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, - 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, - 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, - 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, - 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, - 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, - 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, - 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, - 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, - 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, - 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, - 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, - 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, - 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, - 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, - 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, - 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, - 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, - 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, - 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, - 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, - 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, - 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, - 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, - 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, - 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, - 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, - 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, - 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 -}; - -const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* 4x2, size 1984 */ - 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, - 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, - 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, - 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, - 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, - 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, - 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, - 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, - 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, - 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, - 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, - 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, - 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, - 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, - 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, - 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, - 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, - 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, - 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, - 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, - 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, - 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, - 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, - 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, - 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, - 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, - 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, - 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, - 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, - 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, - 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, - 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, - 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, - 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, - 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, - 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, - 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, - 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, - 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, - 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, - 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, - 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, - 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, - 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, - 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, - 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, - 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, - 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, - 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, - 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, - 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, - 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, - 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, - 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, - 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, - 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, - 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, - 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, - 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, - 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, - 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, - 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, - 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, - 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, - 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, - 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, - 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, - 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, - 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, - 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, - 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, - 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, - 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, - 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, - 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, - 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, - 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, - 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, - 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, - 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, - 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, - 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, - 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, - 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, - 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, - 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, - 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, - 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, - 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, - 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, - 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, - 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, - 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, - 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, - 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, - 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, - 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, - 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, - 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, - 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, - 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, - 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, - 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, - 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, - 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, - 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, - 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, - 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, - 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, - 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, - 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, - 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, - 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, - 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, - 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, - 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, - 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, - 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, - 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, - 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, - 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, - 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, - 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, - 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, - 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, - 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, - 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, - 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, - 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, - 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, - 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, - 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, - 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, - 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, - 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, - 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, - 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, - 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, - 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, - 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, - 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, - 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, - 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, - 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, - 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, - 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, - 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, - 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, - 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, - 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, - 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 -}; - -const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] ARM_DSP_TABLE_ATTRIBUTE = -{ - /* radix 4, size 4032 */ - 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, - 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, - 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, - 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, - 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, - 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, - 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, - 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, - 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, - 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, - 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, - 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, - 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, - 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, - 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, - 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, - 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, - 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, - 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, - 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, - 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, - 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, - 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, - 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, - 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, - 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, - 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, - 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, - 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, - 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, - 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, - 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, - 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, - 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, - 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, - 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, - 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, - 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, - 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, - 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, - 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, - 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, - 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, - 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, - 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, - 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, - 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, - 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, - 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, - 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, - 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, - 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, - 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, - 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, - 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, - 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, - 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, - 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, - 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, - 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, - 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, - 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, - 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, - 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, - 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, - 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, - 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, - 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, - 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, - 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, - 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, - 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, - 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, - 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, - 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, - 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, - 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, - 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, - 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, - 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, - 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, - 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, - 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, - 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000, - 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288, - 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960, - 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624, - 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792, - 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456, - 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376, - 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424, - 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016, - 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256, - 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544, - 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832, - 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496, - 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472, - 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712, - 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152, - 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816, - 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272, - 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936, - 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800, - 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848, - 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136, - 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112, - 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776, - 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216, - 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456, - 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432, - 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096, - 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672, - 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720, - 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696, - 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744, - 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800, - 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848, - 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016, - 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064, - 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352, - 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024, - 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072, - 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048, - 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712, - 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152, - 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200, - 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176, - 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416, - 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704, - 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752, - 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728, - 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776, - 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216, - 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264, - 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240, - 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904, - 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056, - 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104, - 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080, - 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128, - 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568, - 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616, - 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592, - 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640, - 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496, - 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544, - 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520, - 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568, - 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008, - 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056, - 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032, - 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080, - 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560, - 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608, - 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584, - 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632, - 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456, - 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504, - 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480, - 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528, - 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576, - 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552, - 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408, - 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232, - 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280, - 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256, - 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304, - 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880, - 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928, - 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712, - 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760, - 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584, - 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632, - 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368, - 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464, - 10264,24656, 10280,20560, 10288,12368, 10296,28752, 10312,18512, 10328,26704, - 10344,22608, 10352,14416, 10360,30800, 10376,17488, 10392,25680, 10408,21584, - 10416,13392, 10424,29776, 10440,19536, 10448,11344, 10456,27728, 10472,23632, - 10480,15440, 10488,31824, 10504,16976, 10520,25168, 10536,21072, 10544,12880, - 10552,29264, 10568,19024, 10576,10832, 10584,27216, 10600,23120, 10608,14928, - 10616,31312, 10632,18000, 10648,26192, 10664,22096, 10672,13904, 10680,30288, - 10696,20048, 10704,11856, 10712,28240, 10728,24144, 10736,15952, 10744,32336, - 10760,16720, 10776,24912, 10792,20816, 10800,12624, 10808,29008, 10824,18768, - 10840,26960, 10856,22864, 10864,14672, 10872,31056, 10888,17744, 10904,25936, - 10920,21840, 10928,13648, 10936,30032, 10952,19792, 10960,11600, 10968,27984, - 10984,23888, 10992,15696, 11000,32080, 11016,17232, 11032,25424, 11048,21328, - 11056,13136, 11064,29520, 11080,19280, 11096,27472, 11112,23376, 11120,15184, - 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544, - 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592, - 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640, - 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808, - 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760, - 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008, - 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440, - 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176, - 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848, - 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088, - 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968, - 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824, - 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648, - 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384, - 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624, - 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528, - 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768, - 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504, - 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136, - 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088, - 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872, - 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304, - 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928, - 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808, - 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664, - 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248, - 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416, - 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368, - 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848, - 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584, - 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728, - 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360, - 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096, - 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336, - 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912, - 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152, - 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080, - 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424, - 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664, - 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592, - 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592, - 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520, - 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664, - 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296, - 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032, - 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176, - 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040, - 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, - 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, - 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, - 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, - 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, - 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, - 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, - 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, - 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, - 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, - 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, - 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, - 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, - 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, - 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, - 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, - 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, - 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, - 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, - 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, - 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, - 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, - 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, - 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, - 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, - 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, - 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, - 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, - 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, - 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, - 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, - 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, - 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, - 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, - 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, - 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, - 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, - 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, - 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, - 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, - 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, - 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, - 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, - 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, - 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, - 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, - 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, - 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, - 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, - 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, - 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, - 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, - 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, - 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, - 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, - 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, - 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, - 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, - 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, - 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, - 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, - 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, - 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, - 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, - 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, - 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, - 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, - 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, - 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, - 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, - 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, - 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, - 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, - 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, - 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, - 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, - 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, - 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, - 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, - 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, - 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, - 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, - 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, - 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, - 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, - 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, - 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, - 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, - 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, - 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, - 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, - 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, - 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, - 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, - 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, - 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, - 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, - 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, - 31480,32120, 31736,32632, 32248,32504 -}; - -/** - @par - Example code for Double Precision Floating-point RFFT Twiddle factors Generation: - @par - 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
- @par - Real and Imag values are in interleaved fashion -*/ -const uint64_t twiddleCoefF64_rfft_32[32] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, //0.19509, 0.98079 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, //0.38268, 0.92388 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, //0.55557, 0.83147 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //0.70711, 0.70711 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, //0.83147, 0.55557 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, //0.92388, 0.38268 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, //0.98079, 0.19509 - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, //0.98079,-0.19509 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, //0.92388,-0.38268 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, //0.83147,-0.55557 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //0.70711,-0.70711 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, //0.55557,-0.83147 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, //0.38268,-0.92388 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, //0.19509,-0.98079 -}; - -const uint64_t twiddleCoefF64_rfft_64[64] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' -}; - -const uint64_t twiddleCoefF64_rfft_128[128] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' -}; - -const uint64_t twiddleCoefF64_rfft_256[256] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997 - - -}; - -const uint64_t twiddleCoefF64_rfft_512[512] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0x3f8921d1fcdec784, 0x3fefff62169b92db, //0.012272, 0.99992' - 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997' - 0x3fa2d865759455cd, 0x3feffa72effef75d, //0.036807, 0.99932' - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' - 0x3faf656e79f820e0, 0x3feff095658e71ad, //0.061321, 0.99812' - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729' - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //0.085797, 0.99631' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272' - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541' - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807' - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321' - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565' - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //0.085797, -0.99631' - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729' - 0x3faf656e79f820e0, 0xbfeff095658e71ad, //0.061321, -0.99812' - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' - 0x3fa2d865759455cd, 0xbfeffa72effef75d, //0.036807, -0.99932' - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997' - 0x3f8921d1fcdec784, 0xbfefff62169b92db, //0.012272, -0.99992' - - -}; - -const uint64_t twiddleCoefF64_rfft_1024[1024] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1' - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998' - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992' - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983' - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997' - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953' - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932' - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908' - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848' - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812' - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772' - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729' - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682' - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631' - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577' - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456' - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321' - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171' - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006' - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826' - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631' - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421' - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196' - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957' - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703' - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434' - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715' - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852' - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539' - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212' - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587' - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514' - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144' - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759' - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359' - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946' - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518' - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077' - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621' - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151' - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668' - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171' - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066' - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135' - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597' - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045' - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848' - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901' - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309' - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705' - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087' - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456' - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812' - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155' - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486' - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805' - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211' - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404' - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685' - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954' - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211' - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456' - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689' - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691' - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612' - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319' - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506' - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682' - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846' - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72' - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143' - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275' - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397' - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508' - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609' - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667' - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781' - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851' - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912' - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964' - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006' - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038' - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062' - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076' - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081' - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078' - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066' - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046' - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017' - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298' - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936' - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883' - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823' - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755' - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768' - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598' - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508' - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412' - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309' - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422' - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084' - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962' - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835' - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701' - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561' - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416' - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266' - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111' - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195' - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785' - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615' - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441' - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262' - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079' - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893' - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702' - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508' - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311' - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011' - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907' - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177' - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491' - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528' - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066' - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285' - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632' - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412' - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909' - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682' - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444' - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195' - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938' - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675' - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407' - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359' - 0x3ff0000000000000, 0x0000000000000000, // 1, 0' - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359' - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272' - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407' - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541' - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675' - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807' - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938' - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068' - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195' - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321' - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444' - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565' - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682' - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797' - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909' - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017' - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412' - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632' - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285' - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066' - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528' - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491' - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177' - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907' - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011' - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311' - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508' - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702' - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893' - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079' - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262' - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441' - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615' - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785' - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195' - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111' - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266' - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416' - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561' - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701' - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835' - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962' - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084' - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422' - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309' - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412' - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508' - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598' - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768' - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755' - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823' - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883' - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936' - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298' - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017' - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046' - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066' - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078' - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081' - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076' - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062' - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038' - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006' - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964' - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912' - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851' - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781' - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667' - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609' - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508' - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397' - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275' - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143' - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72' - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846' - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682' - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506' - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319' - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612' - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691' - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689' - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456' - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211' - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954' - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685' - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404' - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211' - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805' - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486' - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155' - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812' - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456' - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087' - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705' - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309' - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901' - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848' - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045' - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597' - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135' - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066' - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171' - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668' - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151' - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621' - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077' - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518' - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946' - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359' - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759' - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144' - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514' - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587' - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212' - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539' - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852' - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715' - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434' - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703' - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957' - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196' - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421' - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631' - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826' - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006' - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171' - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321' - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456' - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577' - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631' - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682' - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729' - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772' - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812' - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848' - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908' - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932' - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953' - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997' - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983' - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992' - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998' -}; - -const uint64_t twiddleCoefF64_rfft_2048[2048] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 - 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 - 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 - 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 - 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 - 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 - 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 - 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 - 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 - 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 - 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 - 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 - 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 - 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 - 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 - 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 - 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 - 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 - 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 - 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 - 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 - 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 - 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 - 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 - 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 - 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 - 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 - 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 - 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 - 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 - 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 - 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 - 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 - 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 - 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 - 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 - 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 - 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 - 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 - 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 - 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 - 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 - 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 - 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 - 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 - 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 - 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 - 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 - 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 - 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 - 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 - 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 - 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 - 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 - 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 - 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 - 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 - 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 - 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 - 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 - 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 - 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 - 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 - 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 - 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 - 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 - 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 - 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 - 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 - 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 - 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 - 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 - 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 - 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 - 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 - 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 - 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 - 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 - 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 - 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 - 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 - 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 - 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 - 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 - 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 - 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 - 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 - 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 - 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 - 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 - 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 - 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 - 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 - 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 - 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 - 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 - 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 - 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 - 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 - 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 - 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 - 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 - 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 - 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 - 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 - 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 - 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 - 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 - 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 - 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 - 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 - 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 - 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 - 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 - 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 - 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 - 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 - 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 - 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 - 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 - 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 - 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 - 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 - 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 - 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 - 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 - 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 - 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 - 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 - 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 - 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 - 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 - 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 - 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 - 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 - 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 - 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 - 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 - 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 - 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 - 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 - 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 - 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 - 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 - 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 - 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 - 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 - 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 - 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 - 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 - 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 - 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 - 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 - 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 - 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 - 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 - 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 - 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 - 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 - 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 - 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 - 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 - 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 - 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 - 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 - 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 - 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 - 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 - 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 - 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 - 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 - 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 - 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 - 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 - 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 - 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 - 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 - 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 - 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 - 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 - 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 - 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 - 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 - 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 - 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 - 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 - 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 - 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 - 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 - 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 - 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 - 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 - 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 - 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 - 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 - 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 - 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 - 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 - 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 - 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 - 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 - 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 - 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 - 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 - 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 - 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 - 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 - 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 - 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 - 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 - 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 - 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 - 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 - 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 - 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 - 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 - 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 - 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 - 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 - 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 - 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 - 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 - 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 - 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 - 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 - 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 - 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 - 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 - 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 - 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 - 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 - 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 - 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 - 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 - 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 - 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 - 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 - 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 - 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 - 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 - 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 - 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 - 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 - 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 - 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 - 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 - 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 - 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 - 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 - 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 - 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 - 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 - 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 - 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 - 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 - 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 - 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 - 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 - 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 - 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 - 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 - 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 - 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 - 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 - 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 -}; - -const uint64_t twiddleCoefF64_rfft_4096[4096] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0000000000000000, 0x3ff0000000000000, // 0, 1 - 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 - 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 - 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, //0.0046019, 0.99999 - 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 - 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, //0.0076698, 0.99997 - 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 - 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 - 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 - 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 - 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 - 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 - 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 - 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 - 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 - 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 - 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 - 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 - 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 - 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 - 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 - 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 - 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 - 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 - 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 - 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 - 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 - 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 - 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 - 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 - 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 - 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 - 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 - 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 - 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 - 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 - 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 - 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 - 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 - 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 - 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 - 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 - 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 - 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 - 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 - 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 - 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 - 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 - 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 - 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 - 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 - 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 - 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 - 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 - 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 - 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 - 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 - 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 - 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 - 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 - 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 - 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 - 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 - 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 - 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 - 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 - 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 - 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 - 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 - 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 - 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 - 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 - 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 - 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 - 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 - 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 - 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 - 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 - 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 - 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 - 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 - 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 - 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 - 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 - 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 - 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 - 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 - 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 - 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 - 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 - 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 - 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 - 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 - 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 - 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 - 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 - 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 - 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 - 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 - 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 - 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 - 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 - 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 - 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 - 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 - 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 - 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 - 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 - 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 - 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 - 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 - 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 - 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 - 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 - 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 - 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 - 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 - 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 - 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 - 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 - 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 - 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 - 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 - 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 - 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 - 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 - 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 - 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 - 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 - 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 - 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 - 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 - 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 - 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 - 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 - 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 - 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 - 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 - 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 - 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 - 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 - 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 - 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 - 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 - 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 - 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 - 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 - 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 - 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 - 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 - 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 - 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 - 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 - 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 - 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 - 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 - 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 - 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 - 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 - 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 - 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 - 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 - 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 - 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 - 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 - 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 - 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 - 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 - 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 - 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 - 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 - 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 - 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 - 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 - 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 - 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 - 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 - 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 - 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 - 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 - 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 - 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 - 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 - 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 - 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 - 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 - 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 - 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 - 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 - 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 - 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 - 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 - 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 - 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 - 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 - 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 - 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 - 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 - 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 - 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 - 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 - 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 - 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 - 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 - 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 - 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 - 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 - 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 - 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 - 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 - 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 - 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 - 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 - 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 - 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 - 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 - 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 - 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 - 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 - 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 - 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 - 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 - 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 - 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 - 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 - 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 - 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 - 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 - 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 - 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 - 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 - 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 - 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 - 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 - 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 - 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 - 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 - 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 - 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 - 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 - 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 - 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 - 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 - 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 - 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 - 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 - 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 - 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 - 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 - 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 - 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 - 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 - 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 - 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 - 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 - 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 - 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 - 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 - 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 - 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 - 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 - 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 - 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 - 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 - 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 - 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 - 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 - 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 - 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 - 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 - 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 - 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 - 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 - 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 - 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 - 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 - 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 - 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 - 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 - 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 - 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 - 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 - 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 - 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 - 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 - 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 - 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 - 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 - 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 - 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 - 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 - 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 - 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 - 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 - 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 - 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 - 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 - 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 - 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 - 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 - 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 - 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 - 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 - 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 - 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 - 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 - 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 - 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 - 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 - 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 - 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 - 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 - 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 - 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 - 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 - 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 - 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 - 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 - 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 - 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 - 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 - 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 - 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 - 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 - 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 - 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 - 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 - 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 - 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 - 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 - 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 - 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 - 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 - 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 - 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 - 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 - 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 - 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 - 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 - 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 - 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 - 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 - 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 - 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 - 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 - 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 - 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 - 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 - 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 - 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 - 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 - 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 - 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 - 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 - 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 - 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 - 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 - 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 - 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 - 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 - 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 - 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 - 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 - 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 - 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 - 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 - 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 - 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 - 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 - 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 - 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 - 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 - 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 - 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 - 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 - 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 - 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 - 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 - 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 - 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 - 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 - 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 - 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 - 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 - 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 - 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 - 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 - 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 - 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 - 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 - 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 - 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 - 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 - 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 - 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 - 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 - 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 - 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 - 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 - 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 - 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 - 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 - 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 - 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 - 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 - 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 - 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 - 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 - 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 - 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 - 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 - 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 - 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 - 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 - 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 - 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 - 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 - 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 - 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 - 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 - 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 - 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 - 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 - 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 - 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 - 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 - 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 - 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 - 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 - 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 - 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 - 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 - 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 - 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 - 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 - 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 - 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 - 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 - 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 - 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 - 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 - 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 - 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 - 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 - 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 - 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 - 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 - 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 - 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 - 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 - 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 - 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 - 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 - 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 - 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 - 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 - 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 - 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 - 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 - 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 - 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 - 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 - 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 - 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 - 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 - 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 - 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 - 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 - 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 - 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 - 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 - 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 - 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 - 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 - 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 - 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 - 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 - 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 - 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 - 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 - 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 - 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 - 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 - 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 - 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 - 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 - 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 - 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 - 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 - 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 - 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 - 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 - 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 - 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 - 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 - 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 - 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 - 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 - 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 - 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 - 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 - 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 - 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 - 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 - 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 - 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 - 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 - 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 - 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 - 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 - 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 - 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 - 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 - 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 - 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 - 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 - 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 - 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 - 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 - 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 - 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 - 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 - 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 - 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 - 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 - 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 - 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 - 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 - 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 - 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 - 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 - 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 - 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 - 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 - 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 - 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 - 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 - 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 - 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 - 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 - 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 - 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 - 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 - 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 - 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 - 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 - 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 - 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 - 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 - 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 - 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 - 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 - 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 - 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 - 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 - 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 - 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 - 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 - 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 - 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 - 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 - 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 - 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 - 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 - 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 - 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 - 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 - 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 - 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 - 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 - 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 - 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 - 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 - 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 - 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 - 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 - 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 - 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 - 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 - 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 - 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 - 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 - 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 - 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 - 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 - 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 - 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 - 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 - 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 - 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 - 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 - 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 - 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 - 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 - 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 - 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 - 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 - 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 - 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 - 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 - 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 - 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 - 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 - 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 - 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 - 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 - 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 - 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 - 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 - 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 - 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 - 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 - 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 - 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 - 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 - 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 - 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 - 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 - 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 - 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 - 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 - 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 - 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 - 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 - 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 - 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 - 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 - 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 - 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 - 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 - 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 - 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 - 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 - 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 - 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 - 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 - 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 - 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 - 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 - 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 - 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 - 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 - 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 - 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 - 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 - 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 - 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 - 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 - 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 - 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 - 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 - 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 - 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 - 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 - 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 - 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 - 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 - 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 - 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 - 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 - 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 - 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 - 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 - 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 - 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 - 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 - 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 - 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 - 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 - 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 - 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 - 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 - 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 - 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 - 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 - 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 - 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 - 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 - 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 - 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 - 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 - 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 - 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 - 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 - 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 - 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 - 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 - 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 - 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 - 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 - 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 - 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 - 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 - 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 - 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 - 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 - 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 - 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 - 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 - 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 - 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 - 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 - 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 - 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 - 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 - 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 - 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 - 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 - 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 - 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 - 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 - 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 - 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 - 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 - 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 - 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 - 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 - 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 - 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 - 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 - 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 - 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 - 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 - 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 - 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 - 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 - 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 - 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 - 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 - 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 - 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 - 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 - 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 - 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 - 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 - 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 - 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 - 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 - 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 - 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 - 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 - 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 - 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 - 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 - 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 - 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 - 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 - 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 - 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 - 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 - 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 - 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 - 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 - 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 - 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 - 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 - 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 - 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 - 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 - 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 - 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 - 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 - 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 - 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 - 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 - 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 - 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 - 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 - 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 - 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 - 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 - 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 - 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 - 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 - 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 - 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 - 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 - 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 - 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 - 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 - 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 - 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 - 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 - 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 - 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 - 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 - 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 - 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 - 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 - 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 - 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 - 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 - 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 - 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 - 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 - 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 - 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 - 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 - 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 - 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 - 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 - 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 - 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 - 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 - 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 - 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 - 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 - 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 - 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 - 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 - 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 - 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 - 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 - 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 - 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 - 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 - 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 - 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 - 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 - 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 - 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 - 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 - 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 - 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 - 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 - 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 - 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 - 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 - 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 - 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 - 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 - 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 - 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 - 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 - 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 - 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 - 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 - 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 - 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 - 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 - 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 - 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 - 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 - 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 - 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 - 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 - 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 - 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 - 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 - 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 - 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 - 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 - 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 - 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 - 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 - 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 - 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 - 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 - 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 - 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 - 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 - 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 - 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 - 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 - 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 - 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 - 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 - 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 - 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 - 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 - 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 - 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 - 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 - 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 - 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 - 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 - 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 - 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 - 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 - 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 - 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 - 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 - 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 - 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 - 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 - 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 - 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 - 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 - 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 - 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 - 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 - 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 - 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 - 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 - 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 - 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 - 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 - 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 - 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 - 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 - 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 - 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 - 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 - 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 - 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 - 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 - 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 - 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 - 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 - 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 - 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 - 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 - 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 - 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 - 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 - 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 - 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 - 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 - 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 - 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 - 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 - 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 - 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 - 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 - 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 - 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 - 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 - 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 - 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 - 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 - 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 - 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 - 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 - 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 - 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 - 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 - 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 - 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 - 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 - 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 - 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 - 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 - 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 - 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 - 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 - 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 - 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 - 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 - 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 - 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 - 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 - 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 - 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 - 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 - 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 - 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 - 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 - 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 - 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 - 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 - 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 - 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 - 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 - 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 - 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 - 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 - 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 - 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 - 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 - 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 - 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 - 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 - 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 - 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 - 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 - 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 - 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 - 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 - 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 - 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 - 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 - 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 - 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 - 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 - 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 - 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 - 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 - 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 - 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 - 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 - 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 - 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 - 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 - 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 - 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 - 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 - 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 - 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 - 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 - 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 - 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 - 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 - 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 - 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 - 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 - 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 - 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 - 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 - 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 - 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 - 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 - 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 - 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 - 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 - 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 - 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 - 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 - 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 - 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 - 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 - 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 - 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 - 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 - 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 - 0x3ff0000000000000, 0x0000000000000000, // 1, 0 - 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 - 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 - 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 - 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 - 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 - 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 - 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 - 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 - 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 - 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 - 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 - 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 - 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 - 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 - 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 - 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 - 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 - 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 - 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 - 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 - 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 - 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 - 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 - 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 - 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 - 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 - 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 - 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 - 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 - 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 - 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 - 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 - 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 - 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 - 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 - 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 - 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 - 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 - 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 - 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 - 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 - 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 - 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 - 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 - 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 - 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 - 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 - 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 - 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 - 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 - 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 - 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 - 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 - 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 - 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 - 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 - 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 - 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 - 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 - 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 - 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 - 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 - 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 - 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 - 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 - 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 - 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 - 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 - 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 - 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 - 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 - 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 - 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 - 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 - 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 - 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 - 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 - 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 - 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 - 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 - 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 - 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 - 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 - 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 - 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 - 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 - 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 - 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 - 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 - 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 - 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 - 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 - 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 - 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 - 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 - 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 - 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 - 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 - 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 - 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 - 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 - 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 - 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 - 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 - 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 - 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 - 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 - 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 - 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 - 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 - 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 - 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 - 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 - 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 - 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 - 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 - 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 - 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 - 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 - 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 - 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 - 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 - 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 - 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 - 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 - 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 - 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 - 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 - 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 - 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 - 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 - 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 - 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 - 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 - 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 - 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 - 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 - 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 - 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 - 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 - 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 - 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 - 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 - 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 - 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 - 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 - 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 - 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 - 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 - 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 - 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 - 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 - 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 - 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 - 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 - 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 - 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 - 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 - 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 - 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 - 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 - 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 - 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 - 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 - 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 - 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 - 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 - 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 - 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 - 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 - 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 - 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 - 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 - 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 - 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 - 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 - 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 - 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 - 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 - 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 - 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 - 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 - 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 - 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 - 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 - 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 - 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 - 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 - 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 - 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 - 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 - 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 - 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 - 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 - 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 - 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 - 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 - 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 - 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 - 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 - 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 - 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 - 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 - 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 - 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 - 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 - 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 - 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 - 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 - 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 - 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 - 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 - 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 - 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 - 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 - 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 - 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 - 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 - 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 - 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 - 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 - 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 - 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 - 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 - 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 - 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 - 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 - 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 - 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 - 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 - 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 - 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 - 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 - 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 - 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 - 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 - 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 - 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 - 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 - 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 - 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 - 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 - 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 - 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 - 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 - 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 - 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 - 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 - 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 - 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 - 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 - 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 - 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 - 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 - 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 - 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 - 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 - 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 - 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 - 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 - 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 - 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 - 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 - 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 - 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 - 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 - 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 - 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 - 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 - 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 - 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 - 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 - 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 - 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 - 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 - 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 - 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 - 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 - 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 - 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 - 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 - 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 - 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 - 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 - 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 - 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 - 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 - 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 - 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 - 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 - 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 - 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 - 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 - 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 - 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 - 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 - 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 - 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 - 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 - 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 - 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 - 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 - 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 - 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 - 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 - 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 - 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 - 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 - 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 - 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 - 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 - 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 - 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 - 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 - 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 - 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 - 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 - 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 - 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 - 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 - 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 - 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 - 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 - 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 - 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 - 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 - 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 - 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 - 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 - 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 - 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 - 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 - 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 - 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 - 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 - 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 - 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 - 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 - 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 - 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 - 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 - 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 - 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 - 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 - 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 - 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 - 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 - 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 - 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 - 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 - 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 - 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 - 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 - 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 - 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 - 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 - 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 - 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 - 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 - 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 - 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 - 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 - 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 - 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 - 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 - 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 - 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 - 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 - 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 - 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 - 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 - 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 - 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 - 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 - 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 - 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 - 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 - 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 - 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 - 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 - 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 - 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 - 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 - 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 - 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 - 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 - 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 - 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 - 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 - 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 - 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 - 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 - 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 - 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 - 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 - 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 - 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 - 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 - 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 - 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 - 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 - 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 - 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 - 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 - 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 - 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 - 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 - 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 - 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 - 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 - 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 - 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 - 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 - 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 - 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 - 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 - 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 - 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 - 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 - 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 - 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 - 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 - 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 - 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 - 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 - 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 - 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 - 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 - 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 - 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 - 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 - 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 - 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 - 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 - 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 - 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 - 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 - 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 - 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 - 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 - 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 - 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 - 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 - 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 - 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 - 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 - 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 - 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 - 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 - 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 - 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 - 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 - 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 - 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 - 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 - 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 - 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 - 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 - 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 - 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 - 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 - 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 - 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 - 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 - 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 - 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 - 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 - 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 - 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 - 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 - 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 - 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 - 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 - 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 - 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 - 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 - 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 - 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 - 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 - 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 - 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 - 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 - 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 - 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 - 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 - 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 - 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 - 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 - 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 - 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 - 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 - 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 - 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 - 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 - 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 - 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 - 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 - 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 - 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 - 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 - 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 - 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 - 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 - 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 - 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 - 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 - 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 - 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 - 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 - 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 - 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 - 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 - 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 - 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 - 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 - 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 - 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 - 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 - 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 - 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 - 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 - 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 - 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 - 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 - 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 - 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 - 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 - 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 - 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 - 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 - 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 - 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 - 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 - 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 - 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 - 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 - 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 - 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 - 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 - 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 - 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 - 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 - 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 - 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 - 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 - 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 - 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 - 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 - 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 - 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 - 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 - 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 - 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 - 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 - 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 - 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 - 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 - 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 - 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 - 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 - 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 - 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 - 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 - 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 - 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 - 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 - 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 - 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 - 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 - 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 - 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 - 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 - 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 - 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 - 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 - 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 - 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 - 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 - 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 - 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 - 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 - 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 - 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 - 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 - 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 - 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 - 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 - 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 - 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 - 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 - 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 - 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 - 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 - 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 - 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 - 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 - 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 - 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 - 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 - 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 - 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 - 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 - 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 - 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 - 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 - 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 - 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 - 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 - 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 - 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 - 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 - 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 - 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 - 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 - 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 - 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 - 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 - 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 - 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 - 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 - 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 - 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 - 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 - 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 - 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 - 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 - 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 - 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 - 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 - 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 - 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 - 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 - 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 - 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 - 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 - 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 - 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 - 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 - 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 - 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 - 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 - 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 - 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 - 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 - 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 - 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 - 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 - 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 - 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 - 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 - 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 - 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 - 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 - 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 - 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 - 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 - 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 - 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 - 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 - 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 - 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 - 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 - 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 - 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 - 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 - 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 - 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 - 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 - 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 - 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 - 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 - 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 - 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 - 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 - 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 - 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 - 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 - 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 - 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 - 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 - 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 - 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 - 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 - 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 - 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 - 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 - 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 - 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 - 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 - 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 - 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 - 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 - 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 - 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 - 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 - 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 - 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 - 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 - 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 - 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 - 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 - 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 - 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 - 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 - 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 - 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 - 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 - 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 - 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 - 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 - 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 - 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 - 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 - 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 - 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 - 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 - 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 - 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 - 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 - 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 - 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 - 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 - 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 - 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 - 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 - 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 - 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 - 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 - 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 - 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 - 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 - 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 - 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 - 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 - 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 - 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 - 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 - 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 - 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 - 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 - 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 - 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 - 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 - 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 - 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 - 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 - 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 - 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 - 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 - 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 - 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 - 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 - 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 - 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 - 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 - 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 - 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 - 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 - 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 - 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 - 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 - 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 - 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 - 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 - 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 - 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 - 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 - 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 - 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 - 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 - 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 - 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 - 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 - 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 - 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 - 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 - 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 - 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 - 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 - 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 - 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 - 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 - 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 - 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 - 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 - 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 - 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 - 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 - 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 - 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 - 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 - 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 - 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 - 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 - 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 - 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 - 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 - 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 - 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 - 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 - 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 - 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 - 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 - 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 - 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 - 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 - 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 - 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 - 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 - 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 - 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 - 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 - 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 - 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 - 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 - 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 - 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 - 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 - 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 - 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 - 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 - 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 - 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 - 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 - 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 - 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 - 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 - 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 - 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 - 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 - 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 - 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 - 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 - 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 - 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 - 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 - 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 - 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 - 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 - 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 - 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 - 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 - 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 - 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 - 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 - 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 - 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 - 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 - 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 - 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 - 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 - 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 - 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 - 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 - 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 - 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 - 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 - 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 - 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 - 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 - 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 - 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 - 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 - 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 - 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 - 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 - 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 - 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 - 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 - 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 - 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 - 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 - 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 - 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 - 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 - 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 - 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 - 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 - 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 - 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 - 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 - 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 - 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 - 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 - 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 - 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 - 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 - 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 - 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 - 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 - 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 - 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 - 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 - 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 - 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 - 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 - 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 - 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 - 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 - 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 - 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 - 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 - 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 - 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 - 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 - 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 - 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 - 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 - 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 - 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 - 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 - 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 - 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 - 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 - 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 - 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 - 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 - 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 - 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 - 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 - 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 - 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 - 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 - 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 - 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 - 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 - 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 - 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 - 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 - 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 - 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 - 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 - 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 - 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 - 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 - 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 - 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 - 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 - 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 - 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 - 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 - 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 - 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 - 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 - 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 - 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 - 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 - 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 - 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 - 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 - 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 - 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 - 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 - 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 - 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 - 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 - 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 - 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 - 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 - 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 - 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 - 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 - 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 - 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 - 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 - 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 - 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 - 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 - 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 - 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 - 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 - 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 - 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 - 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 - 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 - 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 - 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 - 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 - 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 - 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 - 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 - 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 - 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 - 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 - 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 - 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 - 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 - 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 - 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 - 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 - 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 - 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 - 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 - 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 - 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 - 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 - 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 - 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 - 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 - 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 - 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 - 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 - 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 - 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 - 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 - 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 - 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 - 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 - 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 - 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 - 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 - 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 - 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 - 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 - 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 - 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 - 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 - 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 - 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, //0.0076698, -0.99997 - 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 - 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, //0.0046019, -0.99999 - 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 - 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 -}; - - -/** - @par - Example code for Floating-point RFFT Twiddle factors Generation: - @par - 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
- @par - Real and Imag values are in interleaved fashion -*/ -const float32_t twiddleCoef_rfft_32[32] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.195090322f, 0.980785280f, - 0.382683432f, 0.923879533f, - 0.555570233f, 0.831469612f, - 0.707106781f, 0.707106781f, - 0.831469612f, 0.555570233f, - 0.923879533f, 0.382683432f, - 0.980785280f, 0.195090322f, - 1.000000000f, 0.000000000f, - 0.980785280f, -0.195090322f, - 0.923879533f, -0.382683432f, - 0.831469612f, -0.555570233f, - 0.707106781f, -0.707106781f, - 0.555570233f, -0.831469612f, - 0.382683432f, -0.923879533f, - 0.195090322f, -0.980785280f -}; - -const float32_t twiddleCoef_rfft_64[64] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000000000f, 1.000000000000000f, - 0.098017140329561f, 0.995184726672197f, - 0.195090322016128f, 0.980785280403230f, - 0.290284677254462f, 0.956940335732209f, - 0.382683432365090f, 0.923879532511287f, - 0.471396736825998f, 0.881921264348355f, - 0.555570233019602f, 0.831469612302545f, - 0.634393284163645f, 0.773010453362737f, - 0.707106781186547f, 0.707106781186548f, - 0.773010453362737f, 0.634393284163645f, - 0.831469612302545f, 0.555570233019602f, - 0.881921264348355f, 0.471396736825998f, - 0.923879532511287f, 0.382683432365090f, - 0.956940335732209f, 0.290284677254462f, - 0.980785280403230f, 0.195090322016128f, - 0.995184726672197f, 0.098017140329561f, - 1.000000000000000f, 0.000000000000000f, - 0.995184726672197f, -0.098017140329561f, - 0.980785280403230f, -0.195090322016128f, - 0.956940335732209f, -0.290284677254462f, - 0.923879532511287f, -0.382683432365090f, - 0.881921264348355f, -0.471396736825998f, - 0.831469612302545f, -0.555570233019602f, - 0.773010453362737f, -0.634393284163645f, - 0.707106781186548f, -0.707106781186547f, - 0.634393284163645f, -0.773010453362737f, - 0.555570233019602f, -0.831469612302545f, - 0.471396736825998f, -0.881921264348355f, - 0.382683432365090f, -0.923879532511287f, - 0.290284677254462f, -0.956940335732209f, - 0.195090322016129f, -0.980785280403230f, - 0.098017140329561f, -0.995184726672197f -}; - -const float32_t twiddleCoef_rfft_128[128] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.049067674f, 0.998795456f, - 0.098017140f, 0.995184727f, - 0.146730474f, 0.989176510f, - 0.195090322f, 0.980785280f, - 0.242980180f, 0.970031253f, - 0.290284677f, 0.956940336f, - 0.336889853f, 0.941544065f, - 0.382683432f, 0.923879533f, - 0.427555093f, 0.903989293f, - 0.471396737f, 0.881921264f, - 0.514102744f, 0.857728610f, - 0.555570233f, 0.831469612f, - 0.595699304f, 0.803207531f, - 0.634393284f, 0.773010453f, - 0.671558955f, 0.740951125f, - 0.707106781f, 0.707106781f, - 0.740951125f, 0.671558955f, - 0.773010453f, 0.634393284f, - 0.803207531f, 0.595699304f, - 0.831469612f, 0.555570233f, - 0.857728610f, 0.514102744f, - 0.881921264f, 0.471396737f, - 0.903989293f, 0.427555093f, - 0.923879533f, 0.382683432f, - 0.941544065f, 0.336889853f, - 0.956940336f, 0.290284677f, - 0.970031253f, 0.242980180f, - 0.980785280f, 0.195090322f, - 0.989176510f, 0.146730474f, - 0.995184727f, 0.098017140f, - 0.998795456f, 0.049067674f, - 1.000000000f, 0.000000000f, - 0.998795456f, -0.049067674f, - 0.995184727f, -0.098017140f, - 0.989176510f, -0.146730474f, - 0.980785280f, -0.195090322f, - 0.970031253f, -0.242980180f, - 0.956940336f, -0.290284677f, - 0.941544065f, -0.336889853f, - 0.923879533f, -0.382683432f, - 0.903989293f, -0.427555093f, - 0.881921264f, -0.471396737f, - 0.857728610f, -0.514102744f, - 0.831469612f, -0.555570233f, - 0.803207531f, -0.595699304f, - 0.773010453f, -0.634393284f, - 0.740951125f, -0.671558955f, - 0.707106781f, -0.707106781f, - 0.671558955f, -0.740951125f, - 0.634393284f, -0.773010453f, - 0.595699304f, -0.803207531f, - 0.555570233f, -0.831469612f, - 0.514102744f, -0.857728610f, - 0.471396737f, -0.881921264f, - 0.427555093f, -0.903989293f, - 0.382683432f, -0.923879533f, - 0.336889853f, -0.941544065f, - 0.290284677f, -0.956940336f, - 0.242980180f, -0.970031253f, - 0.195090322f, -0.980785280f, - 0.146730474f, -0.989176510f, - 0.098017140f, -0.995184727f, - 0.049067674f, -0.998795456f -}; - -const float32_t twiddleCoef_rfft_256[256] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.024541229f, 0.999698819f, - 0.049067674f, 0.998795456f, - 0.073564564f, 0.997290457f, - 0.098017140f, 0.995184727f, - 0.122410675f, 0.992479535f, - 0.146730474f, 0.989176510f, - 0.170961889f, 0.985277642f, - 0.195090322f, 0.980785280f, - 0.219101240f, 0.975702130f, - 0.242980180f, 0.970031253f, - 0.266712757f, 0.963776066f, - 0.290284677f, 0.956940336f, - 0.313681740f, 0.949528181f, - 0.336889853f, 0.941544065f, - 0.359895037f, 0.932992799f, - 0.382683432f, 0.923879533f, - 0.405241314f, 0.914209756f, - 0.427555093f, 0.903989293f, - 0.449611330f, 0.893224301f, - 0.471396737f, 0.881921264f, - 0.492898192f, 0.870086991f, - 0.514102744f, 0.857728610f, - 0.534997620f, 0.844853565f, - 0.555570233f, 0.831469612f, - 0.575808191f, 0.817584813f, - 0.595699304f, 0.803207531f, - 0.615231591f, 0.788346428f, - 0.634393284f, 0.773010453f, - 0.653172843f, 0.757208847f, - 0.671558955f, 0.740951125f, - 0.689540545f, 0.724247083f, - 0.707106781f, 0.707106781f, - 0.724247083f, 0.689540545f, - 0.740951125f, 0.671558955f, - 0.757208847f, 0.653172843f, - 0.773010453f, 0.634393284f, - 0.788346428f, 0.615231591f, - 0.803207531f, 0.595699304f, - 0.817584813f, 0.575808191f, - 0.831469612f, 0.555570233f, - 0.844853565f, 0.534997620f, - 0.857728610f, 0.514102744f, - 0.870086991f, 0.492898192f, - 0.881921264f, 0.471396737f, - 0.893224301f, 0.449611330f, - 0.903989293f, 0.427555093f, - 0.914209756f, 0.405241314f, - 0.923879533f, 0.382683432f, - 0.932992799f, 0.359895037f, - 0.941544065f, 0.336889853f, - 0.949528181f, 0.313681740f, - 0.956940336f, 0.290284677f, - 0.963776066f, 0.266712757f, - 0.970031253f, 0.242980180f, - 0.975702130f, 0.219101240f, - 0.980785280f, 0.195090322f, - 0.985277642f, 0.170961889f, - 0.989176510f, 0.146730474f, - 0.992479535f, 0.122410675f, - 0.995184727f, 0.098017140f, - 0.997290457f, 0.073564564f, - 0.998795456f, 0.049067674f, - 0.999698819f, 0.024541229f, - 1.000000000f, 0.000000000f, - 0.999698819f, -0.024541229f, - 0.998795456f, -0.049067674f, - 0.997290457f, -0.073564564f, - 0.995184727f, -0.098017140f, - 0.992479535f, -0.122410675f, - 0.989176510f, -0.146730474f, - 0.985277642f, -0.170961889f, - 0.980785280f, -0.195090322f, - 0.975702130f, -0.219101240f, - 0.970031253f, -0.242980180f, - 0.963776066f, -0.266712757f, - 0.956940336f, -0.290284677f, - 0.949528181f, -0.313681740f, - 0.941544065f, -0.336889853f, - 0.932992799f, -0.359895037f, - 0.923879533f, -0.382683432f, - 0.914209756f, -0.405241314f, - 0.903989293f, -0.427555093f, - 0.893224301f, -0.449611330f, - 0.881921264f, -0.471396737f, - 0.870086991f, -0.492898192f, - 0.857728610f, -0.514102744f, - 0.844853565f, -0.534997620f, - 0.831469612f, -0.555570233f, - 0.817584813f, -0.575808191f, - 0.803207531f, -0.595699304f, - 0.788346428f, -0.615231591f, - 0.773010453f, -0.634393284f, - 0.757208847f, -0.653172843f, - 0.740951125f, -0.671558955f, - 0.724247083f, -0.689540545f, - 0.707106781f, -0.707106781f, - 0.689540545f, -0.724247083f, - 0.671558955f, -0.740951125f, - 0.653172843f, -0.757208847f, - 0.634393284f, -0.773010453f, - 0.615231591f, -0.788346428f, - 0.595699304f, -0.803207531f, - 0.575808191f, -0.817584813f, - 0.555570233f, -0.831469612f, - 0.534997620f, -0.844853565f, - 0.514102744f, -0.857728610f, - 0.492898192f, -0.870086991f, - 0.471396737f, -0.881921264f, - 0.449611330f, -0.893224301f, - 0.427555093f, -0.903989293f, - 0.405241314f, -0.914209756f, - 0.382683432f, -0.923879533f, - 0.359895037f, -0.932992799f, - 0.336889853f, -0.941544065f, - 0.313681740f, -0.949528181f, - 0.290284677f, -0.956940336f, - 0.266712757f, -0.963776066f, - 0.242980180f, -0.970031253f, - 0.219101240f, -0.975702130f, - 0.195090322f, -0.980785280f, - 0.170961889f, -0.985277642f, - 0.146730474f, -0.989176510f, - 0.122410675f, -0.992479535f, - 0.098017140f, -0.995184727f, - 0.073564564f, -0.997290457f, - 0.049067674f, -0.998795456f, - 0.024541229f, -0.999698819f -}; - -const float32_t twiddleCoef_rfft_512[512] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.012271538f, 0.999924702f, - 0.024541229f, 0.999698819f, - 0.036807223f, 0.999322385f, - 0.049067674f, 0.998795456f, - 0.061320736f, 0.998118113f, - 0.073564564f, 0.997290457f, - 0.085797312f, 0.996312612f, - 0.098017140f, 0.995184727f, - 0.110222207f, 0.993906970f, - 0.122410675f, 0.992479535f, - 0.134580709f, 0.990902635f, - 0.146730474f, 0.989176510f, - 0.158858143f, 0.987301418f, - 0.170961889f, 0.985277642f, - 0.183039888f, 0.983105487f, - 0.195090322f, 0.980785280f, - 0.207111376f, 0.978317371f, - 0.219101240f, 0.975702130f, - 0.231058108f, 0.972939952f, - 0.242980180f, 0.970031253f, - 0.254865660f, 0.966976471f, - 0.266712757f, 0.963776066f, - 0.278519689f, 0.960430519f, - 0.290284677f, 0.956940336f, - 0.302005949f, 0.953306040f, - 0.313681740f, 0.949528181f, - 0.325310292f, 0.945607325f, - 0.336889853f, 0.941544065f, - 0.348418680f, 0.937339012f, - 0.359895037f, 0.932992799f, - 0.371317194f, 0.928506080f, - 0.382683432f, 0.923879533f, - 0.393992040f, 0.919113852f, - 0.405241314f, 0.914209756f, - 0.416429560f, 0.909167983f, - 0.427555093f, 0.903989293f, - 0.438616239f, 0.898674466f, - 0.449611330f, 0.893224301f, - 0.460538711f, 0.887639620f, - 0.471396737f, 0.881921264f, - 0.482183772f, 0.876070094f, - 0.492898192f, 0.870086991f, - 0.503538384f, 0.863972856f, - 0.514102744f, 0.857728610f, - 0.524589683f, 0.851355193f, - 0.534997620f, 0.844853565f, - 0.545324988f, 0.838224706f, - 0.555570233f, 0.831469612f, - 0.565731811f, 0.824589303f, - 0.575808191f, 0.817584813f, - 0.585797857f, 0.810457198f, - 0.595699304f, 0.803207531f, - 0.605511041f, 0.795836905f, - 0.615231591f, 0.788346428f, - 0.624859488f, 0.780737229f, - 0.634393284f, 0.773010453f, - 0.643831543f, 0.765167266f, - 0.653172843f, 0.757208847f, - 0.662415778f, 0.749136395f, - 0.671558955f, 0.740951125f, - 0.680600998f, 0.732654272f, - 0.689540545f, 0.724247083f, - 0.698376249f, 0.715730825f, - 0.707106781f, 0.707106781f, - 0.715730825f, 0.698376249f, - 0.724247083f, 0.689540545f, - 0.732654272f, 0.680600998f, - 0.740951125f, 0.671558955f, - 0.749136395f, 0.662415778f, - 0.757208847f, 0.653172843f, - 0.765167266f, 0.643831543f, - 0.773010453f, 0.634393284f, - 0.780737229f, 0.624859488f, - 0.788346428f, 0.615231591f, - 0.795836905f, 0.605511041f, - 0.803207531f, 0.595699304f, - 0.810457198f, 0.585797857f, - 0.817584813f, 0.575808191f, - 0.824589303f, 0.565731811f, - 0.831469612f, 0.555570233f, - 0.838224706f, 0.545324988f, - 0.844853565f, 0.534997620f, - 0.851355193f, 0.524589683f, - 0.857728610f, 0.514102744f, - 0.863972856f, 0.503538384f, - 0.870086991f, 0.492898192f, - 0.876070094f, 0.482183772f, - 0.881921264f, 0.471396737f, - 0.887639620f, 0.460538711f, - 0.893224301f, 0.449611330f, - 0.898674466f, 0.438616239f, - 0.903989293f, 0.427555093f, - 0.909167983f, 0.416429560f, - 0.914209756f, 0.405241314f, - 0.919113852f, 0.393992040f, - 0.923879533f, 0.382683432f, - 0.928506080f, 0.371317194f, - 0.932992799f, 0.359895037f, - 0.937339012f, 0.348418680f, - 0.941544065f, 0.336889853f, - 0.945607325f, 0.325310292f, - 0.949528181f, 0.313681740f, - 0.953306040f, 0.302005949f, - 0.956940336f, 0.290284677f, - 0.960430519f, 0.278519689f, - 0.963776066f, 0.266712757f, - 0.966976471f, 0.254865660f, - 0.970031253f, 0.242980180f, - 0.972939952f, 0.231058108f, - 0.975702130f, 0.219101240f, - 0.978317371f, 0.207111376f, - 0.980785280f, 0.195090322f, - 0.983105487f, 0.183039888f, - 0.985277642f, 0.170961889f, - 0.987301418f, 0.158858143f, - 0.989176510f, 0.146730474f, - 0.990902635f, 0.134580709f, - 0.992479535f, 0.122410675f, - 0.993906970f, 0.110222207f, - 0.995184727f, 0.098017140f, - 0.996312612f, 0.085797312f, - 0.997290457f, 0.073564564f, - 0.998118113f, 0.061320736f, - 0.998795456f, 0.049067674f, - 0.999322385f, 0.036807223f, - 0.999698819f, 0.024541229f, - 0.999924702f, 0.012271538f, - 1.000000000f, 0.000000000f, - 0.999924702f, -0.012271538f, - 0.999698819f, -0.024541229f, - 0.999322385f, -0.036807223f, - 0.998795456f, -0.049067674f, - 0.998118113f, -0.061320736f, - 0.997290457f, -0.073564564f, - 0.996312612f, -0.085797312f, - 0.995184727f, -0.098017140f, - 0.993906970f, -0.110222207f, - 0.992479535f, -0.122410675f, - 0.990902635f, -0.134580709f, - 0.989176510f, -0.146730474f, - 0.987301418f, -0.158858143f, - 0.985277642f, -0.170961889f, - 0.983105487f, -0.183039888f, - 0.980785280f, -0.195090322f, - 0.978317371f, -0.207111376f, - 0.975702130f, -0.219101240f, - 0.972939952f, -0.231058108f, - 0.970031253f, -0.242980180f, - 0.966976471f, -0.254865660f, - 0.963776066f, -0.266712757f, - 0.960430519f, -0.278519689f, - 0.956940336f, -0.290284677f, - 0.953306040f, -0.302005949f, - 0.949528181f, -0.313681740f, - 0.945607325f, -0.325310292f, - 0.941544065f, -0.336889853f, - 0.937339012f, -0.348418680f, - 0.932992799f, -0.359895037f, - 0.928506080f, -0.371317194f, - 0.923879533f, -0.382683432f, - 0.919113852f, -0.393992040f, - 0.914209756f, -0.405241314f, - 0.909167983f, -0.416429560f, - 0.903989293f, -0.427555093f, - 0.898674466f, -0.438616239f, - 0.893224301f, -0.449611330f, - 0.887639620f, -0.460538711f, - 0.881921264f, -0.471396737f, - 0.876070094f, -0.482183772f, - 0.870086991f, -0.492898192f, - 0.863972856f, -0.503538384f, - 0.857728610f, -0.514102744f, - 0.851355193f, -0.524589683f, - 0.844853565f, -0.534997620f, - 0.838224706f, -0.545324988f, - 0.831469612f, -0.555570233f, - 0.824589303f, -0.565731811f, - 0.817584813f, -0.575808191f, - 0.810457198f, -0.585797857f, - 0.803207531f, -0.595699304f, - 0.795836905f, -0.605511041f, - 0.788346428f, -0.615231591f, - 0.780737229f, -0.624859488f, - 0.773010453f, -0.634393284f, - 0.765167266f, -0.643831543f, - 0.757208847f, -0.653172843f, - 0.749136395f, -0.662415778f, - 0.740951125f, -0.671558955f, - 0.732654272f, -0.680600998f, - 0.724247083f, -0.689540545f, - 0.715730825f, -0.698376249f, - 0.707106781f, -0.707106781f, - 0.698376249f, -0.715730825f, - 0.689540545f, -0.724247083f, - 0.680600998f, -0.732654272f, - 0.671558955f, -0.740951125f, - 0.662415778f, -0.749136395f, - 0.653172843f, -0.757208847f, - 0.643831543f, -0.765167266f, - 0.634393284f, -0.773010453f, - 0.624859488f, -0.780737229f, - 0.615231591f, -0.788346428f, - 0.605511041f, -0.795836905f, - 0.595699304f, -0.803207531f, - 0.585797857f, -0.810457198f, - 0.575808191f, -0.817584813f, - 0.565731811f, -0.824589303f, - 0.555570233f, -0.831469612f, - 0.545324988f, -0.838224706f, - 0.534997620f, -0.844853565f, - 0.524589683f, -0.851355193f, - 0.514102744f, -0.857728610f, - 0.503538384f, -0.863972856f, - 0.492898192f, -0.870086991f, - 0.482183772f, -0.876070094f, - 0.471396737f, -0.881921264f, - 0.460538711f, -0.887639620f, - 0.449611330f, -0.893224301f, - 0.438616239f, -0.898674466f, - 0.427555093f, -0.903989293f, - 0.416429560f, -0.909167983f, - 0.405241314f, -0.914209756f, - 0.393992040f, -0.919113852f, - 0.382683432f, -0.923879533f, - 0.371317194f, -0.928506080f, - 0.359895037f, -0.932992799f, - 0.348418680f, -0.937339012f, - 0.336889853f, -0.941544065f, - 0.325310292f, -0.945607325f, - 0.313681740f, -0.949528181f, - 0.302005949f, -0.953306040f, - 0.290284677f, -0.956940336f, - 0.278519689f, -0.960430519f, - 0.266712757f, -0.963776066f, - 0.254865660f, -0.966976471f, - 0.242980180f, -0.970031253f, - 0.231058108f, -0.972939952f, - 0.219101240f, -0.975702130f, - 0.207111376f, -0.978317371f, - 0.195090322f, -0.980785280f, - 0.183039888f, -0.983105487f, - 0.170961889f, -0.985277642f, - 0.158858143f, -0.987301418f, - 0.146730474f, -0.989176510f, - 0.134580709f, -0.990902635f, - 0.122410675f, -0.992479535f, - 0.110222207f, -0.993906970f, - 0.098017140f, -0.995184727f, - 0.085797312f, -0.996312612f, - 0.073564564f, -0.997290457f, - 0.061320736f, -0.998118113f, - 0.049067674f, -0.998795456f, - 0.036807223f, -0.999322385f, - 0.024541229f, -0.999698819f, - 0.012271538f, -0.999924702f -}; - -const float32_t twiddleCoef_rfft_1024[1024] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.006135885f, 0.999981175f, - 0.012271538f, 0.999924702f, - 0.018406730f, 0.999830582f, - 0.024541229f, 0.999698819f, - 0.030674803f, 0.999529418f, - 0.036807223f, 0.999322385f, - 0.042938257f, 0.999077728f, - 0.049067674f, 0.998795456f, - 0.055195244f, 0.998475581f, - 0.061320736f, 0.998118113f, - 0.067443920f, 0.997723067f, - 0.073564564f, 0.997290457f, - 0.079682438f, 0.996820299f, - 0.085797312f, 0.996312612f, - 0.091908956f, 0.995767414f, - 0.098017140f, 0.995184727f, - 0.104121634f, 0.994564571f, - 0.110222207f, 0.993906970f, - 0.116318631f, 0.993211949f, - 0.122410675f, 0.992479535f, - 0.128498111f, 0.991709754f, - 0.134580709f, 0.990902635f, - 0.140658239f, 0.990058210f, - 0.146730474f, 0.989176510f, - 0.152797185f, 0.988257568f, - 0.158858143f, 0.987301418f, - 0.164913120f, 0.986308097f, - 0.170961889f, 0.985277642f, - 0.177004220f, 0.984210092f, - 0.183039888f, 0.983105487f, - 0.189068664f, 0.981963869f, - 0.195090322f, 0.980785280f, - 0.201104635f, 0.979569766f, - 0.207111376f, 0.978317371f, - 0.213110320f, 0.977028143f, - 0.219101240f, 0.975702130f, - 0.225083911f, 0.974339383f, - 0.231058108f, 0.972939952f, - 0.237023606f, 0.971503891f, - 0.242980180f, 0.970031253f, - 0.248927606f, 0.968522094f, - 0.254865660f, 0.966976471f, - 0.260794118f, 0.965394442f, - 0.266712757f, 0.963776066f, - 0.272621355f, 0.962121404f, - 0.278519689f, 0.960430519f, - 0.284407537f, 0.958703475f, - 0.290284677f, 0.956940336f, - 0.296150888f, 0.955141168f, - 0.302005949f, 0.953306040f, - 0.307849640f, 0.951435021f, - 0.313681740f, 0.949528181f, - 0.319502031f, 0.947585591f, - 0.325310292f, 0.945607325f, - 0.331106306f, 0.943593458f, - 0.336889853f, 0.941544065f, - 0.342660717f, 0.939459224f, - 0.348418680f, 0.937339012f, - 0.354163525f, 0.935183510f, - 0.359895037f, 0.932992799f, - 0.365612998f, 0.930766961f, - 0.371317194f, 0.928506080f, - 0.377007410f, 0.926210242f, - 0.382683432f, 0.923879533f, - 0.388345047f, 0.921514039f, - 0.393992040f, 0.919113852f, - 0.399624200f, 0.916679060f, - 0.405241314f, 0.914209756f, - 0.410843171f, 0.911706032f, - 0.416429560f, 0.909167983f, - 0.422000271f, 0.906595705f, - 0.427555093f, 0.903989293f, - 0.433093819f, 0.901348847f, - 0.438616239f, 0.898674466f, - 0.444122145f, 0.895966250f, - 0.449611330f, 0.893224301f, - 0.455083587f, 0.890448723f, - 0.460538711f, 0.887639620f, - 0.465976496f, 0.884797098f, - 0.471396737f, 0.881921264f, - 0.476799230f, 0.879012226f, - 0.482183772f, 0.876070094f, - 0.487550160f, 0.873094978f, - 0.492898192f, 0.870086991f, - 0.498227667f, 0.867046246f, - 0.503538384f, 0.863972856f, - 0.508830143f, 0.860866939f, - 0.514102744f, 0.857728610f, - 0.519355990f, 0.854557988f, - 0.524589683f, 0.851355193f, - 0.529803625f, 0.848120345f, - 0.534997620f, 0.844853565f, - 0.540171473f, 0.841554977f, - 0.545324988f, 0.838224706f, - 0.550457973f, 0.834862875f, - 0.555570233f, 0.831469612f, - 0.560661576f, 0.828045045f, - 0.565731811f, 0.824589303f, - 0.570780746f, 0.821102515f, - 0.575808191f, 0.817584813f, - 0.580813958f, 0.814036330f, - 0.585797857f, 0.810457198f, - 0.590759702f, 0.806847554f, - 0.595699304f, 0.803207531f, - 0.600616479f, 0.799537269f, - 0.605511041f, 0.795836905f, - 0.610382806f, 0.792106577f, - 0.615231591f, 0.788346428f, - 0.620057212f, 0.784556597f, - 0.624859488f, 0.780737229f, - 0.629638239f, 0.776888466f, - 0.634393284f, 0.773010453f, - 0.639124445f, 0.769103338f, - 0.643831543f, 0.765167266f, - 0.648514401f, 0.761202385f, - 0.653172843f, 0.757208847f, - 0.657806693f, 0.753186799f, - 0.662415778f, 0.749136395f, - 0.666999922f, 0.745057785f, - 0.671558955f, 0.740951125f, - 0.676092704f, 0.736816569f, - 0.680600998f, 0.732654272f, - 0.685083668f, 0.728464390f, - 0.689540545f, 0.724247083f, - 0.693971461f, 0.720002508f, - 0.698376249f, 0.715730825f, - 0.702754744f, 0.711432196f, - 0.707106781f, 0.707106781f, - 0.711432196f, 0.702754744f, - 0.715730825f, 0.698376249f, - 0.720002508f, 0.693971461f, - 0.724247083f, 0.689540545f, - 0.728464390f, 0.685083668f, - 0.732654272f, 0.680600998f, - 0.736816569f, 0.676092704f, - 0.740951125f, 0.671558955f, - 0.745057785f, 0.666999922f, - 0.749136395f, 0.662415778f, - 0.753186799f, 0.657806693f, - 0.757208847f, 0.653172843f, - 0.761202385f, 0.648514401f, - 0.765167266f, 0.643831543f, - 0.769103338f, 0.639124445f, - 0.773010453f, 0.634393284f, - 0.776888466f, 0.629638239f, - 0.780737229f, 0.624859488f, - 0.784556597f, 0.620057212f, - 0.788346428f, 0.615231591f, - 0.792106577f, 0.610382806f, - 0.795836905f, 0.605511041f, - 0.799537269f, 0.600616479f, - 0.803207531f, 0.595699304f, - 0.806847554f, 0.590759702f, - 0.810457198f, 0.585797857f, - 0.814036330f, 0.580813958f, - 0.817584813f, 0.575808191f, - 0.821102515f, 0.570780746f, - 0.824589303f, 0.565731811f, - 0.828045045f, 0.560661576f, - 0.831469612f, 0.555570233f, - 0.834862875f, 0.550457973f, - 0.838224706f, 0.545324988f, - 0.841554977f, 0.540171473f, - 0.844853565f, 0.534997620f, - 0.848120345f, 0.529803625f, - 0.851355193f, 0.524589683f, - 0.854557988f, 0.519355990f, - 0.857728610f, 0.514102744f, - 0.860866939f, 0.508830143f, - 0.863972856f, 0.503538384f, - 0.867046246f, 0.498227667f, - 0.870086991f, 0.492898192f, - 0.873094978f, 0.487550160f, - 0.876070094f, 0.482183772f, - 0.879012226f, 0.476799230f, - 0.881921264f, 0.471396737f, - 0.884797098f, 0.465976496f, - 0.887639620f, 0.460538711f, - 0.890448723f, 0.455083587f, - 0.893224301f, 0.449611330f, - 0.895966250f, 0.444122145f, - 0.898674466f, 0.438616239f, - 0.901348847f, 0.433093819f, - 0.903989293f, 0.427555093f, - 0.906595705f, 0.422000271f, - 0.909167983f, 0.416429560f, - 0.911706032f, 0.410843171f, - 0.914209756f, 0.405241314f, - 0.916679060f, 0.399624200f, - 0.919113852f, 0.393992040f, - 0.921514039f, 0.388345047f, - 0.923879533f, 0.382683432f, - 0.926210242f, 0.377007410f, - 0.928506080f, 0.371317194f, - 0.930766961f, 0.365612998f, - 0.932992799f, 0.359895037f, - 0.935183510f, 0.354163525f, - 0.937339012f, 0.348418680f, - 0.939459224f, 0.342660717f, - 0.941544065f, 0.336889853f, - 0.943593458f, 0.331106306f, - 0.945607325f, 0.325310292f, - 0.947585591f, 0.319502031f, - 0.949528181f, 0.313681740f, - 0.951435021f, 0.307849640f, - 0.953306040f, 0.302005949f, - 0.955141168f, 0.296150888f, - 0.956940336f, 0.290284677f, - 0.958703475f, 0.284407537f, - 0.960430519f, 0.278519689f, - 0.962121404f, 0.272621355f, - 0.963776066f, 0.266712757f, - 0.965394442f, 0.260794118f, - 0.966976471f, 0.254865660f, - 0.968522094f, 0.248927606f, - 0.970031253f, 0.242980180f, - 0.971503891f, 0.237023606f, - 0.972939952f, 0.231058108f, - 0.974339383f, 0.225083911f, - 0.975702130f, 0.219101240f, - 0.977028143f, 0.213110320f, - 0.978317371f, 0.207111376f, - 0.979569766f, 0.201104635f, - 0.980785280f, 0.195090322f, - 0.981963869f, 0.189068664f, - 0.983105487f, 0.183039888f, - 0.984210092f, 0.177004220f, - 0.985277642f, 0.170961889f, - 0.986308097f, 0.164913120f, - 0.987301418f, 0.158858143f, - 0.988257568f, 0.152797185f, - 0.989176510f, 0.146730474f, - 0.990058210f, 0.140658239f, - 0.990902635f, 0.134580709f, - 0.991709754f, 0.128498111f, - 0.992479535f, 0.122410675f, - 0.993211949f, 0.116318631f, - 0.993906970f, 0.110222207f, - 0.994564571f, 0.104121634f, - 0.995184727f, 0.098017140f, - 0.995767414f, 0.091908956f, - 0.996312612f, 0.085797312f, - 0.996820299f, 0.079682438f, - 0.997290457f, 0.073564564f, - 0.997723067f, 0.067443920f, - 0.998118113f, 0.061320736f, - 0.998475581f, 0.055195244f, - 0.998795456f, 0.049067674f, - 0.999077728f, 0.042938257f, - 0.999322385f, 0.036807223f, - 0.999529418f, 0.030674803f, - 0.999698819f, 0.024541229f, - 0.999830582f, 0.018406730f, - 0.999924702f, 0.012271538f, - 0.999981175f, 0.006135885f, - 1.000000000f, 0.000000000f, - 0.999981175f, -0.006135885f, - 0.999924702f, -0.012271538f, - 0.999830582f, -0.018406730f, - 0.999698819f, -0.024541229f, - 0.999529418f, -0.030674803f, - 0.999322385f, -0.036807223f, - 0.999077728f, -0.042938257f, - 0.998795456f, -0.049067674f, - 0.998475581f, -0.055195244f, - 0.998118113f, -0.061320736f, - 0.997723067f, -0.067443920f, - 0.997290457f, -0.073564564f, - 0.996820299f, -0.079682438f, - 0.996312612f, -0.085797312f, - 0.995767414f, -0.091908956f, - 0.995184727f, -0.098017140f, - 0.994564571f, -0.104121634f, - 0.993906970f, -0.110222207f, - 0.993211949f, -0.116318631f, - 0.992479535f, -0.122410675f, - 0.991709754f, -0.128498111f, - 0.990902635f, -0.134580709f, - 0.990058210f, -0.140658239f, - 0.989176510f, -0.146730474f, - 0.988257568f, -0.152797185f, - 0.987301418f, -0.158858143f, - 0.986308097f, -0.164913120f, - 0.985277642f, -0.170961889f, - 0.984210092f, -0.177004220f, - 0.983105487f, -0.183039888f, - 0.981963869f, -0.189068664f, - 0.980785280f, -0.195090322f, - 0.979569766f, -0.201104635f, - 0.978317371f, -0.207111376f, - 0.977028143f, -0.213110320f, - 0.975702130f, -0.219101240f, - 0.974339383f, -0.225083911f, - 0.972939952f, -0.231058108f, - 0.971503891f, -0.237023606f, - 0.970031253f, -0.242980180f, - 0.968522094f, -0.248927606f, - 0.966976471f, -0.254865660f, - 0.965394442f, -0.260794118f, - 0.963776066f, -0.266712757f, - 0.962121404f, -0.272621355f, - 0.960430519f, -0.278519689f, - 0.958703475f, -0.284407537f, - 0.956940336f, -0.290284677f, - 0.955141168f, -0.296150888f, - 0.953306040f, -0.302005949f, - 0.951435021f, -0.307849640f, - 0.949528181f, -0.313681740f, - 0.947585591f, -0.319502031f, - 0.945607325f, -0.325310292f, - 0.943593458f, -0.331106306f, - 0.941544065f, -0.336889853f, - 0.939459224f, -0.342660717f, - 0.937339012f, -0.348418680f, - 0.935183510f, -0.354163525f, - 0.932992799f, -0.359895037f, - 0.930766961f, -0.365612998f, - 0.928506080f, -0.371317194f, - 0.926210242f, -0.377007410f, - 0.923879533f, -0.382683432f, - 0.921514039f, -0.388345047f, - 0.919113852f, -0.393992040f, - 0.916679060f, -0.399624200f, - 0.914209756f, -0.405241314f, - 0.911706032f, -0.410843171f, - 0.909167983f, -0.416429560f, - 0.906595705f, -0.422000271f, - 0.903989293f, -0.427555093f, - 0.901348847f, -0.433093819f, - 0.898674466f, -0.438616239f, - 0.895966250f, -0.444122145f, - 0.893224301f, -0.449611330f, - 0.890448723f, -0.455083587f, - 0.887639620f, -0.460538711f, - 0.884797098f, -0.465976496f, - 0.881921264f, -0.471396737f, - 0.879012226f, -0.476799230f, - 0.876070094f, -0.482183772f, - 0.873094978f, -0.487550160f, - 0.870086991f, -0.492898192f, - 0.867046246f, -0.498227667f, - 0.863972856f, -0.503538384f, - 0.860866939f, -0.508830143f, - 0.857728610f, -0.514102744f, - 0.854557988f, -0.519355990f, - 0.851355193f, -0.524589683f, - 0.848120345f, -0.529803625f, - 0.844853565f, -0.534997620f, - 0.841554977f, -0.540171473f, - 0.838224706f, -0.545324988f, - 0.834862875f, -0.550457973f, - 0.831469612f, -0.555570233f, - 0.828045045f, -0.560661576f, - 0.824589303f, -0.565731811f, - 0.821102515f, -0.570780746f, - 0.817584813f, -0.575808191f, - 0.814036330f, -0.580813958f, - 0.810457198f, -0.585797857f, - 0.806847554f, -0.590759702f, - 0.803207531f, -0.595699304f, - 0.799537269f, -0.600616479f, - 0.795836905f, -0.605511041f, - 0.792106577f, -0.610382806f, - 0.788346428f, -0.615231591f, - 0.784556597f, -0.620057212f, - 0.780737229f, -0.624859488f, - 0.776888466f, -0.629638239f, - 0.773010453f, -0.634393284f, - 0.769103338f, -0.639124445f, - 0.765167266f, -0.643831543f, - 0.761202385f, -0.648514401f, - 0.757208847f, -0.653172843f, - 0.753186799f, -0.657806693f, - 0.749136395f, -0.662415778f, - 0.745057785f, -0.666999922f, - 0.740951125f, -0.671558955f, - 0.736816569f, -0.676092704f, - 0.732654272f, -0.680600998f, - 0.728464390f, -0.685083668f, - 0.724247083f, -0.689540545f, - 0.720002508f, -0.693971461f, - 0.715730825f, -0.698376249f, - 0.711432196f, -0.702754744f, - 0.707106781f, -0.707106781f, - 0.702754744f, -0.711432196f, - 0.698376249f, -0.715730825f, - 0.693971461f, -0.720002508f, - 0.689540545f, -0.724247083f, - 0.685083668f, -0.728464390f, - 0.680600998f, -0.732654272f, - 0.676092704f, -0.736816569f, - 0.671558955f, -0.740951125f, - 0.666999922f, -0.745057785f, - 0.662415778f, -0.749136395f, - 0.657806693f, -0.753186799f, - 0.653172843f, -0.757208847f, - 0.648514401f, -0.761202385f, - 0.643831543f, -0.765167266f, - 0.639124445f, -0.769103338f, - 0.634393284f, -0.773010453f, - 0.629638239f, -0.776888466f, - 0.624859488f, -0.780737229f, - 0.620057212f, -0.784556597f, - 0.615231591f, -0.788346428f, - 0.610382806f, -0.792106577f, - 0.605511041f, -0.795836905f, - 0.600616479f, -0.799537269f, - 0.595699304f, -0.803207531f, - 0.590759702f, -0.806847554f, - 0.585797857f, -0.810457198f, - 0.580813958f, -0.814036330f, - 0.575808191f, -0.817584813f, - 0.570780746f, -0.821102515f, - 0.565731811f, -0.824589303f, - 0.560661576f, -0.828045045f, - 0.555570233f, -0.831469612f, - 0.550457973f, -0.834862875f, - 0.545324988f, -0.838224706f, - 0.540171473f, -0.841554977f, - 0.534997620f, -0.844853565f, - 0.529803625f, -0.848120345f, - 0.524589683f, -0.851355193f, - 0.519355990f, -0.854557988f, - 0.514102744f, -0.857728610f, - 0.508830143f, -0.860866939f, - 0.503538384f, -0.863972856f, - 0.498227667f, -0.867046246f, - 0.492898192f, -0.870086991f, - 0.487550160f, -0.873094978f, - 0.482183772f, -0.876070094f, - 0.476799230f, -0.879012226f, - 0.471396737f, -0.881921264f, - 0.465976496f, -0.884797098f, - 0.460538711f, -0.887639620f, - 0.455083587f, -0.890448723f, - 0.449611330f, -0.893224301f, - 0.444122145f, -0.895966250f, - 0.438616239f, -0.898674466f, - 0.433093819f, -0.901348847f, - 0.427555093f, -0.903989293f, - 0.422000271f, -0.906595705f, - 0.416429560f, -0.909167983f, - 0.410843171f, -0.911706032f, - 0.405241314f, -0.914209756f, - 0.399624200f, -0.916679060f, - 0.393992040f, -0.919113852f, - 0.388345047f, -0.921514039f, - 0.382683432f, -0.923879533f, - 0.377007410f, -0.926210242f, - 0.371317194f, -0.928506080f, - 0.365612998f, -0.930766961f, - 0.359895037f, -0.932992799f, - 0.354163525f, -0.935183510f, - 0.348418680f, -0.937339012f, - 0.342660717f, -0.939459224f, - 0.336889853f, -0.941544065f, - 0.331106306f, -0.943593458f, - 0.325310292f, -0.945607325f, - 0.319502031f, -0.947585591f, - 0.313681740f, -0.949528181f, - 0.307849640f, -0.951435021f, - 0.302005949f, -0.953306040f, - 0.296150888f, -0.955141168f, - 0.290284677f, -0.956940336f, - 0.284407537f, -0.958703475f, - 0.278519689f, -0.960430519f, - 0.272621355f, -0.962121404f, - 0.266712757f, -0.963776066f, - 0.260794118f, -0.965394442f, - 0.254865660f, -0.966976471f, - 0.248927606f, -0.968522094f, - 0.242980180f, -0.970031253f, - 0.237023606f, -0.971503891f, - 0.231058108f, -0.972939952f, - 0.225083911f, -0.974339383f, - 0.219101240f, -0.975702130f, - 0.213110320f, -0.977028143f, - 0.207111376f, -0.978317371f, - 0.201104635f, -0.979569766f, - 0.195090322f, -0.980785280f, - 0.189068664f, -0.981963869f, - 0.183039888f, -0.983105487f, - 0.177004220f, -0.984210092f, - 0.170961889f, -0.985277642f, - 0.164913120f, -0.986308097f, - 0.158858143f, -0.987301418f, - 0.152797185f, -0.988257568f, - 0.146730474f, -0.989176510f, - 0.140658239f, -0.990058210f, - 0.134580709f, -0.990902635f, - 0.128498111f, -0.991709754f, - 0.122410675f, -0.992479535f, - 0.116318631f, -0.993211949f, - 0.110222207f, -0.993906970f, - 0.104121634f, -0.994564571f, - 0.098017140f, -0.995184727f, - 0.091908956f, -0.995767414f, - 0.085797312f, -0.996312612f, - 0.079682438f, -0.996820299f, - 0.073564564f, -0.997290457f, - 0.067443920f, -0.997723067f, - 0.061320736f, -0.998118113f, - 0.055195244f, -0.998475581f, - 0.049067674f, -0.998795456f, - 0.042938257f, -0.999077728f, - 0.036807223f, -0.999322385f, - 0.030674803f, -0.999529418f, - 0.024541229f, -0.999698819f, - 0.018406730f, -0.999830582f, - 0.012271538f, -0.999924702f, - 0.006135885f, -0.999981175f -}; - -const float32_t twiddleCoef_rfft_2048[2048] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.003067957f, 0.999995294f, - 0.006135885f, 0.999981175f, - 0.009203755f, 0.999957645f, - 0.012271538f, 0.999924702f, - 0.015339206f, 0.999882347f, - 0.018406730f, 0.999830582f, - 0.021474080f, 0.999769405f, - 0.024541229f, 0.999698819f, - 0.027608146f, 0.999618822f, - 0.030674803f, 0.999529418f, - 0.033741172f, 0.999430605f, - 0.036807223f, 0.999322385f, - 0.039872928f, 0.999204759f, - 0.042938257f, 0.999077728f, - 0.046003182f, 0.998941293f, - 0.049067674f, 0.998795456f, - 0.052131705f, 0.998640218f, - 0.055195244f, 0.998475581f, - 0.058258265f, 0.998301545f, - 0.061320736f, 0.998118113f, - 0.064382631f, 0.997925286f, - 0.067443920f, 0.997723067f, - 0.070504573f, 0.997511456f, - 0.073564564f, 0.997290457f, - 0.076623861f, 0.997060070f, - 0.079682438f, 0.996820299f, - 0.082740265f, 0.996571146f, - 0.085797312f, 0.996312612f, - 0.088853553f, 0.996044701f, - 0.091908956f, 0.995767414f, - 0.094963495f, 0.995480755f, - 0.098017140f, 0.995184727f, - 0.101069863f, 0.994879331f, - 0.104121634f, 0.994564571f, - 0.107172425f, 0.994240449f, - 0.110222207f, 0.993906970f, - 0.113270952f, 0.993564136f, - 0.116318631f, 0.993211949f, - 0.119365215f, 0.992850414f, - 0.122410675f, 0.992479535f, - 0.125454983f, 0.992099313f, - 0.128498111f, 0.991709754f, - 0.131540029f, 0.991310860f, - 0.134580709f, 0.990902635f, - 0.137620122f, 0.990485084f, - 0.140658239f, 0.990058210f, - 0.143695033f, 0.989622017f, - 0.146730474f, 0.989176510f, - 0.149764535f, 0.988721692f, - 0.152797185f, 0.988257568f, - 0.155828398f, 0.987784142f, - 0.158858143f, 0.987301418f, - 0.161886394f, 0.986809402f, - 0.164913120f, 0.986308097f, - 0.167938295f, 0.985797509f, - 0.170961889f, 0.985277642f, - 0.173983873f, 0.984748502f, - 0.177004220f, 0.984210092f, - 0.180022901f, 0.983662419f, - 0.183039888f, 0.983105487f, - 0.186055152f, 0.982539302f, - 0.189068664f, 0.981963869f, - 0.192080397f, 0.981379193f, - 0.195090322f, 0.980785280f, - 0.198098411f, 0.980182136f, - 0.201104635f, 0.979569766f, - 0.204108966f, 0.978948175f, - 0.207111376f, 0.978317371f, - 0.210111837f, 0.977677358f, - 0.213110320f, 0.977028143f, - 0.216106797f, 0.976369731f, - 0.219101240f, 0.975702130f, - 0.222093621f, 0.975025345f, - 0.225083911f, 0.974339383f, - 0.228072083f, 0.973644250f, - 0.231058108f, 0.972939952f, - 0.234041959f, 0.972226497f, - 0.237023606f, 0.971503891f, - 0.240003022f, 0.970772141f, - 0.242980180f, 0.970031253f, - 0.245955050f, 0.969281235f, - 0.248927606f, 0.968522094f, - 0.251897818f, 0.967753837f, - 0.254865660f, 0.966976471f, - 0.257831102f, 0.966190003f, - 0.260794118f, 0.965394442f, - 0.263754679f, 0.964589793f, - 0.266712757f, 0.963776066f, - 0.269668326f, 0.962953267f, - 0.272621355f, 0.962121404f, - 0.275571819f, 0.961280486f, - 0.278519689f, 0.960430519f, - 0.281464938f, 0.959571513f, - 0.284407537f, 0.958703475f, - 0.287347460f, 0.957826413f, - 0.290284677f, 0.956940336f, - 0.293219163f, 0.956045251f, - 0.296150888f, 0.955141168f, - 0.299079826f, 0.954228095f, - 0.302005949f, 0.953306040f, - 0.304929230f, 0.952375013f, - 0.307849640f, 0.951435021f, - 0.310767153f, 0.950486074f, - 0.313681740f, 0.949528181f, - 0.316593376f, 0.948561350f, - 0.319502031f, 0.947585591f, - 0.322407679f, 0.946600913f, - 0.325310292f, 0.945607325f, - 0.328209844f, 0.944604837f, - 0.331106306f, 0.943593458f, - 0.333999651f, 0.942573198f, - 0.336889853f, 0.941544065f, - 0.339776884f, 0.940506071f, - 0.342660717f, 0.939459224f, - 0.345541325f, 0.938403534f, - 0.348418680f, 0.937339012f, - 0.351292756f, 0.936265667f, - 0.354163525f, 0.935183510f, - 0.357030961f, 0.934092550f, - 0.359895037f, 0.932992799f, - 0.362755724f, 0.931884266f, - 0.365612998f, 0.930766961f, - 0.368466830f, 0.929640896f, - 0.371317194f, 0.928506080f, - 0.374164063f, 0.927362526f, - 0.377007410f, 0.926210242f, - 0.379847209f, 0.925049241f, - 0.382683432f, 0.923879533f, - 0.385516054f, 0.922701128f, - 0.388345047f, 0.921514039f, - 0.391170384f, 0.920318277f, - 0.393992040f, 0.919113852f, - 0.396809987f, 0.917900776f, - 0.399624200f, 0.916679060f, - 0.402434651f, 0.915448716f, - 0.405241314f, 0.914209756f, - 0.408044163f, 0.912962190f, - 0.410843171f, 0.911706032f, - 0.413638312f, 0.910441292f, - 0.416429560f, 0.909167983f, - 0.419216888f, 0.907886116f, - 0.422000271f, 0.906595705f, - 0.424779681f, 0.905296759f, - 0.427555093f, 0.903989293f, - 0.430326481f, 0.902673318f, - 0.433093819f, 0.901348847f, - 0.435857080f, 0.900015892f, - 0.438616239f, 0.898674466f, - 0.441371269f, 0.897324581f, - 0.444122145f, 0.895966250f, - 0.446868840f, 0.894599486f, - 0.449611330f, 0.893224301f, - 0.452349587f, 0.891840709f, - 0.455083587f, 0.890448723f, - 0.457813304f, 0.889048356f, - 0.460538711f, 0.887639620f, - 0.463259784f, 0.886222530f, - 0.465976496f, 0.884797098f, - 0.468688822f, 0.883363339f, - 0.471396737f, 0.881921264f, - 0.474100215f, 0.880470889f, - 0.476799230f, 0.879012226f, - 0.479493758f, 0.877545290f, - 0.482183772f, 0.876070094f, - 0.484869248f, 0.874586652f, - 0.487550160f, 0.873094978f, - 0.490226483f, 0.871595087f, - 0.492898192f, 0.870086991f, - 0.495565262f, 0.868570706f, - 0.498227667f, 0.867046246f, - 0.500885383f, 0.865513624f, - 0.503538384f, 0.863972856f, - 0.506186645f, 0.862423956f, - 0.508830143f, 0.860866939f, - 0.511468850f, 0.859301818f, - 0.514102744f, 0.857728610f, - 0.516731799f, 0.856147328f, - 0.519355990f, 0.854557988f, - 0.521975293f, 0.852960605f, - 0.524589683f, 0.851355193f, - 0.527199135f, 0.849741768f, - 0.529803625f, 0.848120345f, - 0.532403128f, 0.846490939f, - 0.534997620f, 0.844853565f, - 0.537587076f, 0.843208240f, - 0.540171473f, 0.841554977f, - 0.542750785f, 0.839893794f, - 0.545324988f, 0.838224706f, - 0.547894059f, 0.836547727f, - 0.550457973f, 0.834862875f, - 0.553016706f, 0.833170165f, - 0.555570233f, 0.831469612f, - 0.558118531f, 0.829761234f, - 0.560661576f, 0.828045045f, - 0.563199344f, 0.826321063f, - 0.565731811f, 0.824589303f, - 0.568258953f, 0.822849781f, - 0.570780746f, 0.821102515f, - 0.573297167f, 0.819347520f, - 0.575808191f, 0.817584813f, - 0.578313796f, 0.815814411f, - 0.580813958f, 0.814036330f, - 0.583308653f, 0.812250587f, - 0.585797857f, 0.810457198f, - 0.588281548f, 0.808656182f, - 0.590759702f, 0.806847554f, - 0.593232295f, 0.805031331f, - 0.595699304f, 0.803207531f, - 0.598160707f, 0.801376172f, - 0.600616479f, 0.799537269f, - 0.603066599f, 0.797690841f, - 0.605511041f, 0.795836905f, - 0.607949785f, 0.793975478f, - 0.610382806f, 0.792106577f, - 0.612810082f, 0.790230221f, - 0.615231591f, 0.788346428f, - 0.617647308f, 0.786455214f, - 0.620057212f, 0.784556597f, - 0.622461279f, 0.782650596f, - 0.624859488f, 0.780737229f, - 0.627251815f, 0.778816512f, - 0.629638239f, 0.776888466f, - 0.632018736f, 0.774953107f, - 0.634393284f, 0.773010453f, - 0.636761861f, 0.771060524f, - 0.639124445f, 0.769103338f, - 0.641481013f, 0.767138912f, - 0.643831543f, 0.765167266f, - 0.646176013f, 0.763188417f, - 0.648514401f, 0.761202385f, - 0.650846685f, 0.759209189f, - 0.653172843f, 0.757208847f, - 0.655492853f, 0.755201377f, - 0.657806693f, 0.753186799f, - 0.660114342f, 0.751165132f, - 0.662415778f, 0.749136395f, - 0.664710978f, 0.747100606f, - 0.666999922f, 0.745057785f, - 0.669282588f, 0.743007952f, - 0.671558955f, 0.740951125f, - 0.673829000f, 0.738887324f, - 0.676092704f, 0.736816569f, - 0.678350043f, 0.734738878f, - 0.680600998f, 0.732654272f, - 0.682845546f, 0.730562769f, - 0.685083668f, 0.728464390f, - 0.687315341f, 0.726359155f, - 0.689540545f, 0.724247083f, - 0.691759258f, 0.722128194f, - 0.693971461f, 0.720002508f, - 0.696177131f, 0.717870045f, - 0.698376249f, 0.715730825f, - 0.700568794f, 0.713584869f, - 0.702754744f, 0.711432196f, - 0.704934080f, 0.709272826f, - 0.707106781f, 0.707106781f, - 0.709272826f, 0.704934080f, - 0.711432196f, 0.702754744f, - 0.713584869f, 0.700568794f, - 0.715730825f, 0.698376249f, - 0.717870045f, 0.696177131f, - 0.720002508f, 0.693971461f, - 0.722128194f, 0.691759258f, - 0.724247083f, 0.689540545f, - 0.726359155f, 0.687315341f, - 0.728464390f, 0.685083668f, - 0.730562769f, 0.682845546f, - 0.732654272f, 0.680600998f, - 0.734738878f, 0.678350043f, - 0.736816569f, 0.676092704f, - 0.738887324f, 0.673829000f, - 0.740951125f, 0.671558955f, - 0.743007952f, 0.669282588f, - 0.745057785f, 0.666999922f, - 0.747100606f, 0.664710978f, - 0.749136395f, 0.662415778f, - 0.751165132f, 0.660114342f, - 0.753186799f, 0.657806693f, - 0.755201377f, 0.655492853f, - 0.757208847f, 0.653172843f, - 0.759209189f, 0.650846685f, - 0.761202385f, 0.648514401f, - 0.763188417f, 0.646176013f, - 0.765167266f, 0.643831543f, - 0.767138912f, 0.641481013f, - 0.769103338f, 0.639124445f, - 0.771060524f, 0.636761861f, - 0.773010453f, 0.634393284f, - 0.774953107f, 0.632018736f, - 0.776888466f, 0.629638239f, - 0.778816512f, 0.627251815f, - 0.780737229f, 0.624859488f, - 0.782650596f, 0.622461279f, - 0.784556597f, 0.620057212f, - 0.786455214f, 0.617647308f, - 0.788346428f, 0.615231591f, - 0.790230221f, 0.612810082f, - 0.792106577f, 0.610382806f, - 0.793975478f, 0.607949785f, - 0.795836905f, 0.605511041f, - 0.797690841f, 0.603066599f, - 0.799537269f, 0.600616479f, - 0.801376172f, 0.598160707f, - 0.803207531f, 0.595699304f, - 0.805031331f, 0.593232295f, - 0.806847554f, 0.590759702f, - 0.808656182f, 0.588281548f, - 0.810457198f, 0.585797857f, - 0.812250587f, 0.583308653f, - 0.814036330f, 0.580813958f, - 0.815814411f, 0.578313796f, - 0.817584813f, 0.575808191f, - 0.819347520f, 0.573297167f, - 0.821102515f, 0.570780746f, - 0.822849781f, 0.568258953f, - 0.824589303f, 0.565731811f, - 0.826321063f, 0.563199344f, - 0.828045045f, 0.560661576f, - 0.829761234f, 0.558118531f, - 0.831469612f, 0.555570233f, - 0.833170165f, 0.553016706f, - 0.834862875f, 0.550457973f, - 0.836547727f, 0.547894059f, - 0.838224706f, 0.545324988f, - 0.839893794f, 0.542750785f, - 0.841554977f, 0.540171473f, - 0.843208240f, 0.537587076f, - 0.844853565f, 0.534997620f, - 0.846490939f, 0.532403128f, - 0.848120345f, 0.529803625f, - 0.849741768f, 0.527199135f, - 0.851355193f, 0.524589683f, - 0.852960605f, 0.521975293f, - 0.854557988f, 0.519355990f, - 0.856147328f, 0.516731799f, - 0.857728610f, 0.514102744f, - 0.859301818f, 0.511468850f, - 0.860866939f, 0.508830143f, - 0.862423956f, 0.506186645f, - 0.863972856f, 0.503538384f, - 0.865513624f, 0.500885383f, - 0.867046246f, 0.498227667f, - 0.868570706f, 0.495565262f, - 0.870086991f, 0.492898192f, - 0.871595087f, 0.490226483f, - 0.873094978f, 0.487550160f, - 0.874586652f, 0.484869248f, - 0.876070094f, 0.482183772f, - 0.877545290f, 0.479493758f, - 0.879012226f, 0.476799230f, - 0.880470889f, 0.474100215f, - 0.881921264f, 0.471396737f, - 0.883363339f, 0.468688822f, - 0.884797098f, 0.465976496f, - 0.886222530f, 0.463259784f, - 0.887639620f, 0.460538711f, - 0.889048356f, 0.457813304f, - 0.890448723f, 0.455083587f, - 0.891840709f, 0.452349587f, - 0.893224301f, 0.449611330f, - 0.894599486f, 0.446868840f, - 0.895966250f, 0.444122145f, - 0.897324581f, 0.441371269f, - 0.898674466f, 0.438616239f, - 0.900015892f, 0.435857080f, - 0.901348847f, 0.433093819f, - 0.902673318f, 0.430326481f, - 0.903989293f, 0.427555093f, - 0.905296759f, 0.424779681f, - 0.906595705f, 0.422000271f, - 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0.167938295f, -0.985797509f, - 0.164913120f, -0.986308097f, - 0.161886394f, -0.986809402f, - 0.158858143f, -0.987301418f, - 0.155828398f, -0.987784142f, - 0.152797185f, -0.988257568f, - 0.149764535f, -0.988721692f, - 0.146730474f, -0.989176510f, - 0.143695033f, -0.989622017f, - 0.140658239f, -0.990058210f, - 0.137620122f, -0.990485084f, - 0.134580709f, -0.990902635f, - 0.131540029f, -0.991310860f, - 0.128498111f, -0.991709754f, - 0.125454983f, -0.992099313f, - 0.122410675f, -0.992479535f, - 0.119365215f, -0.992850414f, - 0.116318631f, -0.993211949f, - 0.113270952f, -0.993564136f, - 0.110222207f, -0.993906970f, - 0.107172425f, -0.994240449f, - 0.104121634f, -0.994564571f, - 0.101069863f, -0.994879331f, - 0.098017140f, -0.995184727f, - 0.094963495f, -0.995480755f, - 0.091908956f, -0.995767414f, - 0.088853553f, -0.996044701f, - 0.085797312f, -0.996312612f, - 0.082740265f, -0.996571146f, - 0.079682438f, -0.996820299f, - 0.076623861f, -0.997060070f, - 0.073564564f, -0.997290457f, - 0.070504573f, -0.997511456f, - 0.067443920f, -0.997723067f, - 0.064382631f, -0.997925286f, - 0.061320736f, -0.998118113f, - 0.058258265f, -0.998301545f, - 0.055195244f, -0.998475581f, - 0.052131705f, -0.998640218f, - 0.049067674f, -0.998795456f, - 0.046003182f, -0.998941293f, - 0.042938257f, -0.999077728f, - 0.039872928f, -0.999204759f, - 0.036807223f, -0.999322385f, - 0.033741172f, -0.999430605f, - 0.030674803f, -0.999529418f, - 0.027608146f, -0.999618822f, - 0.024541229f, -0.999698819f, - 0.021474080f, -0.999769405f, - 0.018406730f, -0.999830582f, - 0.015339206f, -0.999882347f, - 0.012271538f, -0.999924702f, - 0.009203755f, -0.999957645f, - 0.006135885f, -0.999981175f, - 0.003067957f, -0.999995294f -}; - -const float32_t twiddleCoef_rfft_4096[4096] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 1.000000000f, - 0.001533980f, 0.999998823f, - 0.003067957f, 0.999995294f, - 0.004601926f, 0.999989411f, - 0.006135885f, 0.999981175f, - 0.007669829f, 0.999970586f, - 0.009203755f, 0.999957645f, - 0.010737659f, 0.999942350f, - 0.012271538f, 0.999924702f, - 0.013805389f, 0.999904701f, - 0.015339206f, 0.999882347f, - 0.016872988f, 0.999857641f, - 0.018406730f, 0.999830582f, - 0.019940429f, 0.999801170f, - 0.021474080f, 0.999769405f, - 0.023007681f, 0.999735288f, - 0.024541229f, 0.999698819f, - 0.026074718f, 0.999659997f, - 0.027608146f, 0.999618822f, - 0.029141509f, 0.999575296f, - 0.030674803f, 0.999529418f, - 0.032208025f, 0.999481187f, - 0.033741172f, 0.999430605f, - 0.035274239f, 0.999377670f, - 0.036807223f, 0.999322385f, - 0.038340120f, 0.999264747f, - 0.039872928f, 0.999204759f, - 0.041405641f, 0.999142419f, - 0.042938257f, 0.999077728f, - 0.044470772f, 0.999010686f, - 0.046003182f, 0.998941293f, - 0.047535484f, 0.998869550f, - 0.049067674f, 0.998795456f, - 0.050599749f, 0.998719012f, - 0.052131705f, 0.998640218f, - 0.053663538f, 0.998559074f, - 0.055195244f, 0.998475581f, - 0.056726821f, 0.998389737f, - 0.058258265f, 0.998301545f, - 0.059789571f, 0.998211003f, - 0.061320736f, 0.998118113f, - 0.062851758f, 0.998022874f, - 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0.116318631f, 0.993211949f, - 0.117842062f, 0.993032350f, - 0.119365215f, 0.992850414f, - 0.120888087f, 0.992666142f, - 0.122410675f, 0.992479535f, - 0.123932975f, 0.992290591f, - 0.125454983f, 0.992099313f, - 0.126976696f, 0.991905700f, - 0.128498111f, 0.991709754f, - 0.130019223f, 0.991511473f, - 0.131540029f, 0.991310860f, - 0.133060525f, 0.991107914f, - 0.134580709f, 0.990902635f, - 0.136100575f, 0.990695025f, - 0.137620122f, 0.990485084f, - 0.139139344f, 0.990272812f, - 0.140658239f, 0.990058210f, - 0.142176804f, 0.989841278f, - 0.143695033f, 0.989622017f, - 0.145212925f, 0.989400428f, - 0.146730474f, 0.989176510f, - 0.148247679f, 0.988950265f, - 0.149764535f, 0.988721692f, - 0.151281038f, 0.988490793f, - 0.152797185f, 0.988257568f, - 0.154312973f, 0.988022017f, - 0.155828398f, 0.987784142f, - 0.157343456f, 0.987543942f, - 0.158858143f, 0.987301418f, - 0.160372457f, 0.987056571f, - 0.161886394f, 0.986809402f, - 0.163399949f, 0.986559910f, - 0.164913120f, 0.986308097f, - 0.166425904f, 0.986053963f, - 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0.435857080f, -0.900015892f, - 0.434475961f, -0.900683429f, - 0.433093819f, -0.901348847f, - 0.431710658f, -0.902012144f, - 0.430326481f, -0.902673318f, - 0.428941292f, -0.903332368f, - 0.427555093f, -0.903989293f, - 0.426167889f, -0.904644091f, - 0.424779681f, -0.905296759f, - 0.423390474f, -0.905947298f, - 0.422000271f, -0.906595705f, - 0.420609074f, -0.907241978f, - 0.419216888f, -0.907886116f, - 0.417823716f, -0.908528119f, - 0.416429560f, -0.909167983f, - 0.415034424f, -0.909805708f, - 0.413638312f, -0.910441292f, - 0.412241227f, -0.911074734f, - 0.410843171f, -0.911706032f, - 0.409444149f, -0.912335185f, - 0.408044163f, -0.912962190f, - 0.406643217f, -0.913587048f, - 0.405241314f, -0.914209756f, - 0.403838458f, -0.914830312f, - 0.402434651f, -0.915448716f, - 0.401029897f, -0.916064966f, - 0.399624200f, -0.916679060f, - 0.398217562f, -0.917290997f, - 0.396809987f, -0.917900776f, - 0.395401479f, -0.918508394f, - 0.393992040f, -0.919113852f, - 0.392581674f, -0.919717146f, - 0.391170384f, -0.920318277f, - 0.389758174f, -0.920917242f, - 0.388345047f, -0.921514039f, - 0.386931006f, -0.922108669f, - 0.385516054f, -0.922701128f, - 0.384100195f, -0.923291417f, - 0.382683432f, -0.923879533f, - 0.381265769f, -0.924465474f, - 0.379847209f, -0.925049241f, - 0.378427755f, -0.925630831f, - 0.377007410f, -0.926210242f, - 0.375586178f, -0.926787474f, - 0.374164063f, -0.927362526f, - 0.372741067f, -0.927935395f, - 0.371317194f, -0.928506080f, - 0.369892447f, -0.929074581f, - 0.368466830f, -0.929640896f, - 0.367040346f, -0.930205023f, - 0.365612998f, -0.930766961f, - 0.364184790f, -0.931326709f, - 0.362755724f, -0.931884266f, - 0.361325806f, -0.932439629f, - 0.359895037f, -0.932992799f, - 0.358463421f, -0.933543773f, - 0.357030961f, -0.934092550f, - 0.355597662f, -0.934639130f, - 0.354163525f, -0.935183510f, - 0.352728556f, -0.935725689f, - 0.351292756f, -0.936265667f, - 0.349856130f, -0.936803442f, - 0.348418680f, -0.937339012f, - 0.346980411f, -0.937872376f, - 0.345541325f, -0.938403534f, - 0.344101426f, -0.938932484f, - 0.342660717f, -0.939459224f, - 0.341219202f, -0.939983753f, - 0.339776884f, -0.940506071f, - 0.338333767f, -0.941026175f, - 0.336889853f, -0.941544065f, - 0.335445147f, -0.942059740f, - 0.333999651f, -0.942573198f, - 0.332553370f, -0.943084437f, - 0.331106306f, -0.943593458f, - 0.329658463f, -0.944100258f, - 0.328209844f, -0.944604837f, - 0.326760452f, -0.945107193f, - 0.325310292f, -0.945607325f, - 0.323859367f, -0.946105232f, - 0.322407679f, -0.946600913f, - 0.320955232f, -0.947094366f, - 0.319502031f, -0.947585591f, - 0.318048077f, -0.948074586f, - 0.316593376f, -0.948561350f, - 0.315137929f, -0.949045882f, - 0.313681740f, -0.949528181f, - 0.312224814f, -0.950008245f, - 0.310767153f, -0.950486074f, - 0.309308760f, -0.950961666f, - 0.307849640f, -0.951435021f, - 0.306389795f, -0.951906137f, - 0.304929230f, -0.952375013f, - 0.303467947f, -0.952841648f, - 0.302005949f, -0.953306040f, - 0.300543241f, -0.953768190f, - 0.299079826f, -0.954228095f, - 0.297615707f, -0.954685755f, - 0.296150888f, -0.955141168f, - 0.294685372f, -0.955594334f, - 0.293219163f, -0.956045251f, - 0.291752263f, -0.956493919f, - 0.290284677f, -0.956940336f, - 0.288816408f, -0.957384501f, - 0.287347460f, -0.957826413f, - 0.285877835f, -0.958266071f, - 0.284407537f, -0.958703475f, - 0.282936570f, -0.959138622f, - 0.281464938f, -0.959571513f, - 0.279992643f, -0.960002146f, - 0.278519689f, -0.960430519f, - 0.277046080f, -0.960856633f, - 0.275571819f, -0.961280486f, - 0.274096910f, -0.961702077f, - 0.272621355f, -0.962121404f, - 0.271145160f, -0.962538468f, - 0.269668326f, -0.962953267f, - 0.268190857f, -0.963365800f, - 0.266712757f, -0.963776066f, - 0.265234030f, -0.964184064f, - 0.263754679f, -0.964589793f, - 0.262274707f, -0.964993253f, - 0.260794118f, -0.965394442f, - 0.259312915f, -0.965793359f, - 0.257831102f, -0.966190003f, - 0.256348682f, -0.966584374f, - 0.254865660f, -0.966976471f, - 0.253382037f, -0.967366292f, - 0.251897818f, -0.967753837f, - 0.250413007f, -0.968139105f, - 0.248927606f, -0.968522094f, - 0.247441619f, -0.968902805f, - 0.245955050f, -0.969281235f, - 0.244467903f, -0.969657385f, - 0.242980180f, -0.970031253f, - 0.241491885f, -0.970402839f, - 0.240003022f, -0.970772141f, - 0.238513595f, -0.971139158f, - 0.237023606f, -0.971503891f, - 0.235533059f, -0.971866337f, - 0.234041959f, -0.972226497f, - 0.232550307f, -0.972584369f, - 0.231058108f, -0.972939952f, - 0.229565366f, -0.973293246f, - 0.228072083f, -0.973644250f, - 0.226578264f, -0.973992962f, - 0.225083911f, -0.974339383f, - 0.223589029f, -0.974683511f, - 0.222093621f, -0.975025345f, - 0.220597690f, -0.975364885f, - 0.219101240f, -0.975702130f, - 0.217604275f, -0.976037079f, - 0.216106797f, -0.976369731f, - 0.214608811f, -0.976700086f, - 0.213110320f, -0.977028143f, - 0.211611327f, -0.977353900f, - 0.210111837f, -0.977677358f, - 0.208611852f, -0.977998515f, - 0.207111376f, -0.978317371f, - 0.205610413f, -0.978633924f, - 0.204108966f, -0.978948175f, - 0.202607039f, -0.979260123f, - 0.201104635f, -0.979569766f, - 0.199601758f, -0.979877104f, - 0.198098411f, -0.980182136f, - 0.196594598f, -0.980484862f, - 0.195090322f, -0.980785280f, - 0.193585587f, -0.981083391f, - 0.192080397f, -0.981379193f, - 0.190574755f, -0.981672686f, - 0.189068664f, -0.981963869f, - 0.187562129f, -0.982252741f, - 0.186055152f, -0.982539302f, - 0.184547737f, -0.982823551f, - 0.183039888f, -0.983105487f, - 0.181531608f, -0.983385110f, - 0.180022901f, -0.983662419f, - 0.178513771f, -0.983937413f, - 0.177004220f, -0.984210092f, - 0.175494253f, -0.984480455f, - 0.173983873f, -0.984748502f, - 0.172473084f, -0.985014231f, - 0.170961889f, -0.985277642f, - 0.169450291f, -0.985538735f, - 0.167938295f, -0.985797509f, - 0.166425904f, -0.986053963f, - 0.164913120f, -0.986308097f, - 0.163399949f, -0.986559910f, - 0.161886394f, -0.986809402f, - 0.160372457f, -0.987056571f, - 0.158858143f, -0.987301418f, - 0.157343456f, -0.987543942f, - 0.155828398f, -0.987784142f, - 0.154312973f, -0.988022017f, - 0.152797185f, -0.988257568f, - 0.151281038f, -0.988490793f, - 0.149764535f, -0.988721692f, - 0.148247679f, -0.988950265f, - 0.146730474f, -0.989176510f, - 0.145212925f, -0.989400428f, - 0.143695033f, -0.989622017f, - 0.142176804f, -0.989841278f, - 0.140658239f, -0.990058210f, - 0.139139344f, -0.990272812f, - 0.137620122f, -0.990485084f, - 0.136100575f, -0.990695025f, - 0.134580709f, -0.990902635f, - 0.133060525f, -0.991107914f, - 0.131540029f, -0.991310860f, - 0.130019223f, -0.991511473f, - 0.128498111f, -0.991709754f, - 0.126976696f, -0.991905700f, - 0.125454983f, -0.992099313f, - 0.123932975f, -0.992290591f, - 0.122410675f, -0.992479535f, - 0.120888087f, -0.992666142f, - 0.119365215f, -0.992850414f, - 0.117842062f, -0.993032350f, - 0.116318631f, -0.993211949f, - 0.114794927f, -0.993389211f, - 0.113270952f, -0.993564136f, - 0.111746711f, -0.993736722f, - 0.110222207f, -0.993906970f, - 0.108697444f, -0.994074879f, - 0.107172425f, -0.994240449f, - 0.105647154f, -0.994403680f, - 0.104121634f, -0.994564571f, - 0.102595869f, -0.994723121f, - 0.101069863f, -0.994879331f, - 0.099543619f, -0.995033199f, - 0.098017140f, -0.995184727f, - 0.096490431f, -0.995333912f, - 0.094963495f, -0.995480755f, - 0.093436336f, -0.995625256f, - 0.091908956f, -0.995767414f, - 0.090381361f, -0.995907229f, - 0.088853553f, -0.996044701f, - 0.087325535f, -0.996179829f, - 0.085797312f, -0.996312612f, - 0.084268888f, -0.996443051f, - 0.082740265f, -0.996571146f, - 0.081211447f, -0.996696895f, - 0.079682438f, -0.996820299f, - 0.078153242f, -0.996941358f, - 0.076623861f, -0.997060070f, - 0.075094301f, -0.997176437f, - 0.073564564f, -0.997290457f, - 0.072034653f, -0.997402130f, - 0.070504573f, -0.997511456f, - 0.068974328f, -0.997618435f, - 0.067443920f, -0.997723067f, - 0.065913353f, -0.997825350f, - 0.064382631f, -0.997925286f, - 0.062851758f, -0.998022874f, - 0.061320736f, -0.998118113f, - 0.059789571f, -0.998211003f, - 0.058258265f, -0.998301545f, - 0.056726821f, -0.998389737f, - 0.055195244f, -0.998475581f, - 0.053663538f, -0.998559074f, - 0.052131705f, -0.998640218f, - 0.050599749f, -0.998719012f, - 0.049067674f, -0.998795456f, - 0.047535484f, -0.998869550f, - 0.046003182f, -0.998941293f, - 0.044470772f, -0.999010686f, - 0.042938257f, -0.999077728f, - 0.041405641f, -0.999142419f, - 0.039872928f, -0.999204759f, - 0.038340120f, -0.999264747f, - 0.036807223f, -0.999322385f, - 0.035274239f, -0.999377670f, - 0.033741172f, -0.999430605f, - 0.032208025f, -0.999481187f, - 0.030674803f, -0.999529418f, - 0.029141509f, -0.999575296f, - 0.027608146f, -0.999618822f, - 0.026074718f, -0.999659997f, - 0.024541229f, -0.999698819f, - 0.023007681f, -0.999735288f, - 0.021474080f, -0.999769405f, - 0.019940429f, -0.999801170f, - 0.018406730f, -0.999830582f, - 0.016872988f, -0.999857641f, - 0.015339206f, -0.999882347f, - 0.013805389f, -0.999904701f, - 0.012271538f, -0.999924702f, - 0.010737659f, -0.999942350f, - 0.009203755f, -0.999957645f, - 0.007669829f, -0.999970586f, - 0.006135885f, -0.999981175f, - 0.004601926f, -0.999989411f, - 0.003067957f, -0.999995294f, - 0.001533980f, -0.999998823f -}; - - -/** - @ingroup RealFFT - */ - -/** - @addtogroup RealFFT_Table Real FFT Tables - @{ - */ - -/** - @par - Generation of realCoefA array: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
-     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- */ - -const float32_t realCoefA[8192] ARM_DSP_TABLE_ATTRIBUTE = { - 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f, - 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f, - 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f, - 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f, - 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f, - 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f, - 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f, - 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f, - 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f, - 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f, - 0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f, - 0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f, - 0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f, - 0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f, - 0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f, - 0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f, - 0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f, - 0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f, - 0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f, - 0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f, - 0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f, - 0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f, - 0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f, - 0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f, - 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0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f, - 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f, - 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f, - 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f, - 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f, - 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f, - 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f, - 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f, - 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f, - 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f, - 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f, - 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f, - 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f, - 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f, -}; - - -/** - @par - Generation of realCoefB array: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
-     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- */ - -const float32_t realCoefB[8192] ARM_DSP_TABLE_ATTRIBUTE = { - 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f, - 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f, - 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f, - 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f, - 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f, - 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f, - 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f, - 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f, - 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f, - 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f, - 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f, - 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f, - 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0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f, - 0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f, -}; - -/** - @par - Generation fixed-point realCoefAQ31 array in Q31 format: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
-     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- @par - Convert to fixed point Q31 format - round(pATable[i] * pow(2, 31)) -*/ -const q31_t realCoefAQ31[8192] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c, - (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a, - (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8, - (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74, - (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee, - (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547, - (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e, - (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594, - (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489, - (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c, - (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d, - (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c, - (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a, - (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356, - (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80, - (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188, - (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e, - (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731, - (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3, - (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452, - (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae, - (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8, - (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff, - (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3, - (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4, - (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872, - (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd, - (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364, - (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8, - (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7, - (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3, - (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b, - (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e, - (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd, - (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047, - (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c, - (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac, - (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7, - (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c, - (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b, - (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5, - (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018, - (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54, - (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a, - (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859, - (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421, - (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1, - (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939, - (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289, - (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1, - (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0, - (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986, - (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33, - (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6, - (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910, - (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f, - (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44, - (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d, - (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc, - (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f, - (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6, - (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1, - (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf, - (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1, - (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145, - (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb, - (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03, - (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d, - (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07, - (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3, - (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e, - (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa, - (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4, - (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce, - (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97, - (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e, - (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92, - (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3, - (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2, - (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c, - (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223, - (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85, - (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2, - (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9, - (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a, - (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5, - (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548, - (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64, - (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48, - (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3, - (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065, - (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d, - (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b, - (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e, - (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6, - (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33, - (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42, - (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815, - (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa, - (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901, - (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019, - (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2, - (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a, - (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3, - (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa, - (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf, - (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762, - (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2, - (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be, - (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686, - (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09, - (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147, - (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e, - (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee, - (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257, - (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77, - (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f, - (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add, - (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120, - (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119, - (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6, - (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26, - (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39, - (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff, - (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276, - (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d, - (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075, - (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb, - (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530, - (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613, - (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3, - (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df, - (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6, - (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58, - (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94, - (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678, - (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05, - (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a, - (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, (q31_t)0xc1706115, - (q31_t)0x3274f5c3, (q31_t)0xc17308a1, (q31_t)0x3268ade3, (q31_t)0xc175b296, - (q31_t)0x325c6688, (q31_t)0xc1785ef4, (q31_t)0x32501fb5, (q31_t)0xc17b0dbb, - 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(q31_t)0x37df9d22, (q31_t)0x3f7b620c, (q31_t)0x37ec143e, (q31_t)0x3f7cf94e, - (q31_t)0x37f88ba9, (q31_t)0x3f7e8e1e, (q31_t)0x38050364, (q31_t)0x3f80207b, - (q31_t)0x38117b6d, (q31_t)0x3f81b065, (q31_t)0x381df3c5, (q31_t)0x3f833ddd, - (q31_t)0x382a6c6a, (q31_t)0x3f84c8e2, (q31_t)0x3836e55d, (q31_t)0x3f865174, - (q31_t)0x38435e9d, (q31_t)0x3f87d792, (q31_t)0x384fd829, (q31_t)0x3f895b3e, - (q31_t)0x385c5201, (q31_t)0x3f8adc77, (q31_t)0x3868cc24, (q31_t)0x3f8c5b3d, - (q31_t)0x38754692, (q31_t)0x3f8dd78f, (q31_t)0x3881c14b, (q31_t)0x3f8f516e, - (q31_t)0x388e3c4d, (q31_t)0x3f90c8da, (q31_t)0x389ab799, (q31_t)0x3f923dd2, - (q31_t)0x38a7332e, (q31_t)0x3f93b058, (q31_t)0x38b3af0c, (q31_t)0x3f952069, - (q31_t)0x38c02b31, (q31_t)0x3f968e07, (q31_t)0x38cca79e, (q31_t)0x3f97f932, - (q31_t)0x38d92452, (q31_t)0x3f9961e8, (q31_t)0x38e5a14d, (q31_t)0x3f9ac82c, - (q31_t)0x38f21e8e, (q31_t)0x3f9c2bfb, (q31_t)0x38fe9c15, (q31_t)0x3f9d8d56, - (q31_t)0x390b19e0, (q31_t)0x3f9eec3e, (q31_t)0x391797f0, (q31_t)0x3fa048b2, - (q31_t)0x39241645, (q31_t)0x3fa1a2b2, (q31_t)0x393094dd, (q31_t)0x3fa2fa3d, - (q31_t)0x393d13b8, (q31_t)0x3fa44f55, (q31_t)0x394992d7, (q31_t)0x3fa5a1f9, - (q31_t)0x39561237, (q31_t)0x3fa6f228, (q31_t)0x396291d9, (q31_t)0x3fa83fe3, - (q31_t)0x396f11bc, (q31_t)0x3fa98b2a, (q31_t)0x397b91e1, (q31_t)0x3faad3fd, - (q31_t)0x39881245, (q31_t)0x3fac1a5b, (q31_t)0x399492ea, (q31_t)0x3fad5e45, - (q31_t)0x39a113cd, (q31_t)0x3fae9fbb, (q31_t)0x39ad94f0, (q31_t)0x3fafdebb, - (q31_t)0x39ba1651, (q31_t)0x3fb11b48, (q31_t)0x39c697f0, (q31_t)0x3fb2555f, - (q31_t)0x39d319cc, (q31_t)0x3fb38d02, (q31_t)0x39df9be6, (q31_t)0x3fb4c231, - (q31_t)0x39ec1e3b, (q31_t)0x3fb5f4ea, (q31_t)0x39f8a0cd, (q31_t)0x3fb7252f, - (q31_t)0x3a05239a, (q31_t)0x3fb852ff, (q31_t)0x3a11a6a3, (q31_t)0x3fb97e5a, - (q31_t)0x3a1e29e5, (q31_t)0x3fbaa740, (q31_t)0x3a2aad62, (q31_t)0x3fbbcdb1, - (q31_t)0x3a373119, (q31_t)0x3fbcf1ad, (q31_t)0x3a43b508, (q31_t)0x3fbe1334, - (q31_t)0x3a503930, (q31_t)0x3fbf3246, (q31_t)0x3a5cbd91, (q31_t)0x3fc04ee3, - (q31_t)0x3a694229, (q31_t)0x3fc1690a, (q31_t)0x3a75c6f8, (q31_t)0x3fc280bc, - (q31_t)0x3a824bfd, (q31_t)0x3fc395f9, (q31_t)0x3a8ed139, (q31_t)0x3fc4a8c1, - (q31_t)0x3a9b56ab, (q31_t)0x3fc5b913, (q31_t)0x3aa7dc52, (q31_t)0x3fc6c6f0, - (q31_t)0x3ab4622d, (q31_t)0x3fc7d258, (q31_t)0x3ac0e83d, (q31_t)0x3fc8db4a, - (q31_t)0x3acd6e81, (q31_t)0x3fc9e1c6, (q31_t)0x3ad9f4f8, (q31_t)0x3fcae5cd, - (q31_t)0x3ae67ba2, (q31_t)0x3fcbe75e, (q31_t)0x3af3027e, (q31_t)0x3fcce67a, - (q31_t)0x3aff898c, (q31_t)0x3fcde320, (q31_t)0x3b0c10cb, (q31_t)0x3fcedd50, - (q31_t)0x3b18983b, (q31_t)0x3fcfd50b, (q31_t)0x3b251fdc, (q31_t)0x3fd0ca4f, - (q31_t)0x3b31a7ac, (q31_t)0x3fd1bd1e, (q31_t)0x3b3e2fac, (q31_t)0x3fd2ad77, - (q31_t)0x3b4ab7db, (q31_t)0x3fd39b5a, (q31_t)0x3b574039, (q31_t)0x3fd486c7, - (q31_t)0x3b63c8c4, (q31_t)0x3fd56fbe, (q31_t)0x3b70517d, (q31_t)0x3fd6563f, - (q31_t)0x3b7cda63, (q31_t)0x3fd73a4a, (q31_t)0x3b896375, (q31_t)0x3fd81bdf, - (q31_t)0x3b95ecb4, (q31_t)0x3fd8fafe, (q31_t)0x3ba2761e, (q31_t)0x3fd9d7a7, - (q31_t)0x3baeffb3, (q31_t)0x3fdab1d9, (q31_t)0x3bbb8973, (q31_t)0x3fdb8996, - (q31_t)0x3bc8135c, (q31_t)0x3fdc5edc, (q31_t)0x3bd49d70, (q31_t)0x3fdd31ac, - (q31_t)0x3be127ac, (q31_t)0x3fde0205, (q31_t)0x3bedb212, (q31_t)0x3fdecfe8, - (q31_t)0x3bfa3c9f, (q31_t)0x3fdf9b55, (q31_t)0x3c06c754, (q31_t)0x3fe0644b, - (q31_t)0x3c135231, (q31_t)0x3fe12acb, (q31_t)0x3c1fdd34, (q31_t)0x3fe1eed5, - (q31_t)0x3c2c685d, (q31_t)0x3fe2b067, (q31_t)0x3c38f3ac, (q31_t)0x3fe36f84, - (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659, - (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354, - (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674, - (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9, - (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23, - (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2, - (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065, - (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d, - (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39, - (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858, - (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c, - (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703, - (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e, - (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c, - (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d, - (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01, - (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718, - (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652, - (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae, - (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d, - (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf, - (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092, - (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78, - (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280, - (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa, - (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6, - (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364, - (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3, - (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4, - (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77, - (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c, - (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82, - (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9, - (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12, - (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c, - (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128, - (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6, - (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4, -}; - - -/** - @par - Generation of realCoefBQ31 array: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
-     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- @par - Convert to fixed point Q31 format - round(pBTable[i] * pow(2, 31)) - */ - -const q31_t realCoefBQ31[8192] ARM_DSP_TABLE_ATTRIBUTE = { - (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4, - (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6, - (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128, - (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c, - (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12, - (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9, - (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82, - (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c, - (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77, - (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4, - (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3, - (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364, - (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6, - (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa, - (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280, - (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78, - (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092, - (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf, - (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d, - (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae, - (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652, - (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718, - (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01, - (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d, - (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c, - (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e, - (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703, - (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c, - (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858, - (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39, - (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d, - (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065, - (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2, - (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23, - (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9, - (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674, - (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354, - (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659, - (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84, - (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5, - (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b, - (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8, - (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac, - (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996, - (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7, - (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf, - (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f, - (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7, - (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77, - (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f, - (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50, - (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a, - (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd, - (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a, - (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0, - (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1, - (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc, - (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3, - (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334, - (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1, - (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a, - (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f, - (q31_t)0x4613e1c5, (q31_t)0x3fb5f4ea, (q31_t)0x4620641a, (q31_t)0x3fb4c231, - (q31_t)0x462ce634, (q31_t)0x3fb38d02, (q31_t)0x46396810, (q31_t)0x3fb2555f, - (q31_t)0x4645e9af, (q31_t)0x3fb11b48, (q31_t)0x46526b10, (q31_t)0x3fafdebb, - (q31_t)0x465eec33, (q31_t)0x3fae9fbb, (q31_t)0x466b6d16, (q31_t)0x3fad5e45, - (q31_t)0x4677edbb, (q31_t)0x3fac1a5b, (q31_t)0x46846e1f, (q31_t)0x3faad3fd, - (q31_t)0x4690ee44, (q31_t)0x3fa98b2a, (q31_t)0x469d6e27, (q31_t)0x3fa83fe3, - (q31_t)0x46a9edc9, (q31_t)0x3fa6f228, (q31_t)0x46b66d29, (q31_t)0x3fa5a1f9, - (q31_t)0x46c2ec48, (q31_t)0x3fa44f55, (q31_t)0x46cf6b23, (q31_t)0x3fa2fa3d, - (q31_t)0x46dbe9bb, (q31_t)0x3fa1a2b2, (q31_t)0x46e86810, (q31_t)0x3fa048b2, - (q31_t)0x46f4e620, (q31_t)0x3f9eec3e, (q31_t)0x470163eb, (q31_t)0x3f9d8d56, - (q31_t)0x470de172, (q31_t)0x3f9c2bfb, (q31_t)0x471a5eb3, (q31_t)0x3f9ac82c, - (q31_t)0x4726dbae, (q31_t)0x3f9961e8, (q31_t)0x47335862, (q31_t)0x3f97f932, - (q31_t)0x473fd4cf, (q31_t)0x3f968e07, (q31_t)0x474c50f4, (q31_t)0x3f952069, - (q31_t)0x4758ccd2, (q31_t)0x3f93b058, (q31_t)0x47654867, (q31_t)0x3f923dd2, - (q31_t)0x4771c3b3, (q31_t)0x3f90c8da, (q31_t)0x477e3eb5, (q31_t)0x3f8f516e, - (q31_t)0x478ab96e, (q31_t)0x3f8dd78f, (q31_t)0x479733dc, (q31_t)0x3f8c5b3d, - (q31_t)0x47a3adff, (q31_t)0x3f8adc77, (q31_t)0x47b027d7, (q31_t)0x3f895b3e, - (q31_t)0x47bca163, (q31_t)0x3f87d792, (q31_t)0x47c91aa3, (q31_t)0x3f865174, - (q31_t)0x47d59396, (q31_t)0x3f84c8e2, (q31_t)0x47e20c3b, (q31_t)0x3f833ddd, - (q31_t)0x47ee8493, (q31_t)0x3f81b065, (q31_t)0x47fafc9c, (q31_t)0x3f80207b, - (q31_t)0x48077457, (q31_t)0x3f7e8e1e, (q31_t)0x4813ebc2, (q31_t)0x3f7cf94e, - (q31_t)0x482062de, (q31_t)0x3f7b620c, (q31_t)0x482cd9a9, (q31_t)0x3f79c857, - (q31_t)0x48395024, (q31_t)0x3f782c30, (q31_t)0x4845c64d, (q31_t)0x3f768d96, - (q31_t)0x48523c25, (q31_t)0x3f74ec8a, (q31_t)0x485eb1ab, (q31_t)0x3f73490b, - (q31_t)0x486b26de, (q31_t)0x3f71a31b, (q31_t)0x48779bbe, (q31_t)0x3f6ffab8, - (q31_t)0x4884104b, (q31_t)0x3f6e4fe3, (q31_t)0x48908483, (q31_t)0x3f6ca29c, - (q31_t)0x489cf867, (q31_t)0x3f6af2e3, (q31_t)0x48a96bf6, (q31_t)0x3f6940b8, - (q31_t)0x48b5df30, (q31_t)0x3f678c1c, (q31_t)0x48c25213, (q31_t)0x3f65d50d, - (q31_t)0x48cec4a0, (q31_t)0x3f641b8d, (q31_t)0x48db36d6, (q31_t)0x3f625f9b, - (q31_t)0x48e7a8b5, (q31_t)0x3f60a138, (q31_t)0x48f41a3c, (q31_t)0x3f5ee063, - (q31_t)0x49008b6a, (q31_t)0x3f5d1d1d, (q31_t)0x490cfc40, (q31_t)0x3f5b5765, - (q31_t)0x49196cbc, (q31_t)0x3f598f3c, (q31_t)0x4925dcdf, (q31_t)0x3f57c4a2, - (q31_t)0x49324ca7, (q31_t)0x3f55f796, (q31_t)0x493ebc14, (q31_t)0x3f54281a, - (q31_t)0x494b2b27, (q31_t)0x3f52562c, (q31_t)0x495799dd, (q31_t)0x3f5081cd, - (q31_t)0x49640837, (q31_t)0x3f4eaafe, (q31_t)0x49707635, (q31_t)0x3f4cd1be, - (q31_t)0x497ce3d5, (q31_t)0x3f4af60d, (q31_t)0x49895118, (q31_t)0x3f4917eb, - (q31_t)0x4995bdfd, (q31_t)0x3f473759, (q31_t)0x49a22a83, (q31_t)0x3f455456, - (q31_t)0x49ae96aa, (q31_t)0x3f436ee3, (q31_t)0x49bb0271, (q31_t)0x3f4186ff, - (q31_t)0x49c76dd8, (q31_t)0x3f3f9cab, (q31_t)0x49d3d8df, (q31_t)0x3f3dafe7, - (q31_t)0x49e04385, (q31_t)0x3f3bc0b3, (q31_t)0x49ecadc9, (q31_t)0x3f39cf0e, - (q31_t)0x49f917ac, (q31_t)0x3f37dafa, (q31_t)0x4a05812c, (q31_t)0x3f35e476, - (q31_t)0x4a11ea49, (q31_t)0x3f33eb81, (q31_t)0x4a1e5303, (q31_t)0x3f31f01d, - (q31_t)0x4a2abb59, (q31_t)0x3f2ff24a, (q31_t)0x4a37234a, (q31_t)0x3f2df206, - (q31_t)0x4a438ad7, (q31_t)0x3f2bef53, (q31_t)0x4a4ff1fe, (q31_t)0x3f29ea31, - (q31_t)0x4a5c58c0, (q31_t)0x3f27e29f, (q31_t)0x4a68bf1b, (q31_t)0x3f25d89e, - (q31_t)0x4a752510, (q31_t)0x3f23cc2e, (q31_t)0x4a818a9d, (q31_t)0x3f21bd4e, - (q31_t)0x4a8defc3, (q31_t)0x3f1fabff, (q31_t)0x4a9a5480, (q31_t)0x3f1d9842, - (q31_t)0x4aa6b8d5, (q31_t)0x3f1b8215, (q31_t)0x4ab31cc1, (q31_t)0x3f19697a, - (q31_t)0x4abf8043, (q31_t)0x3f174e70, (q31_t)0x4acbe35b, (q31_t)0x3f1530f7, - (q31_t)0x4ad84609, (q31_t)0x3f13110f, (q31_t)0x4ae4a84b, (q31_t)0x3f10eeb9, - (q31_t)0x4af10a22, (q31_t)0x3f0ec9f5, (q31_t)0x4afd6b8d, (q31_t)0x3f0ca2c2, - (q31_t)0x4b09cc8c, (q31_t)0x3f0a7921, (q31_t)0x4b162d1d, (q31_t)0x3f084d12, - (q31_t)0x4b228d42, (q31_t)0x3f061e95, (q31_t)0x4b2eecf8, (q31_t)0x3f03eda9, - (q31_t)0x4b3b4c40, (q31_t)0x3f01ba50, (q31_t)0x4b47ab19, (q31_t)0x3eff8489, - (q31_t)0x4b540982, (q31_t)0x3efd4c54, (q31_t)0x4b60677c, (q31_t)0x3efb11b1, - (q31_t)0x4b6cc506, (q31_t)0x3ef8d4a1, (q31_t)0x4b79221f, (q31_t)0x3ef69523, - (q31_t)0x4b857ec7, (q31_t)0x3ef45338, (q31_t)0x4b91dafc, (q31_t)0x3ef20ee0, - (q31_t)0x4b9e36c0, (q31_t)0x3eefc81a, (q31_t)0x4baa9211, (q31_t)0x3eed7ee7, - (q31_t)0x4bb6ecef, (q31_t)0x3eeb3347, (q31_t)0x4bc34759, (q31_t)0x3ee8e53a, - (q31_t)0x4bcfa150, (q31_t)0x3ee694c1, (q31_t)0x4bdbfad1, (q31_t)0x3ee441da, - (q31_t)0x4be853de, (q31_t)0x3ee1ec87, (q31_t)0x4bf4ac75, (q31_t)0x3edf94c7, - (q31_t)0x4c010496, (q31_t)0x3edd3a9a, (q31_t)0x4c0d5c41, (q31_t)0x3edade01, - (q31_t)0x4c19b374, (q31_t)0x3ed87efc, (q31_t)0x4c260a31, (q31_t)0x3ed61d8a, - (q31_t)0x4c326075, (q31_t)0x3ed3b9ad, (q31_t)0x4c3eb641, (q31_t)0x3ed15363, - (q31_t)0x4c4b0b94, (q31_t)0x3eceeaad, (q31_t)0x4c57606e, (q31_t)0x3ecc7f8b, - (q31_t)0x4c63b4ce, (q31_t)0x3eca11fe, (q31_t)0x4c7008b3, (q31_t)0x3ec7a205, - (q31_t)0x4c7c5c1e, (q31_t)0x3ec52fa0, (q31_t)0x4c88af0e, (q31_t)0x3ec2bad0, - (q31_t)0x4c950182, (q31_t)0x3ec04394, (q31_t)0x4ca1537a, (q31_t)0x3ebdc9ed, - (q31_t)0x4cada4f5, (q31_t)0x3ebb4ddb, (q31_t)0x4cb9f5f3, (q31_t)0x3eb8cf5d, - (q31_t)0x4cc64673, (q31_t)0x3eb64e75, (q31_t)0x4cd29676, (q31_t)0x3eb3cb21, - (q31_t)0x4cdee5f9, (q31_t)0x3eb14563, (q31_t)0x4ceb34fe, (q31_t)0x3eaebd3a, - (q31_t)0x4cf78383, (q31_t)0x3eac32a6, (q31_t)0x4d03d189, (q31_t)0x3ea9a5a8, - (q31_t)0x4d101f0e, (q31_t)0x3ea7163f, (q31_t)0x4d1c6c11, (q31_t)0x3ea4846c, - (q31_t)0x4d28b894, (q31_t)0x3ea1f02f, (q31_t)0x4d350495, (q31_t)0x3e9f5988, - (q31_t)0x4d415013, (q31_t)0x3e9cc076, (q31_t)0x4d4d9b0e, (q31_t)0x3e9a24fb, - (q31_t)0x4d59e586, (q31_t)0x3e978715, (q31_t)0x4d662f7b, (q31_t)0x3e94e6c6, - (q31_t)0x4d7278eb, (q31_t)0x3e92440d, (q31_t)0x4d7ec1d6, (q31_t)0x3e8f9eeb, - (q31_t)0x4d8b0a3d, (q31_t)0x3e8cf75f, (q31_t)0x4d97521d, (q31_t)0x3e8a4d6a, - (q31_t)0x4da39978, (q31_t)0x3e87a10c, (q31_t)0x4dafe04b, (q31_t)0x3e84f245, - 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(q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c, - (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047, - (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd, - (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e, - (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b, - (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3, - (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7, - (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8, - (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364, - (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd, - (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872, - (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4, - (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3, - (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff, - (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8, - (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae, - (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452, - (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3, - (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731, - (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e, - (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188, - (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80, - (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356, - (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a, - (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c, - (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d, - (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c, - (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489, - (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594, - (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e, - (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547, - (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee, - (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74, - (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8, - (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a, - (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c, -}; - -/** - @par - Generation fixed-point realCoefAQ15 array in Q15 format: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
-     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- @par - Convert to fixed point Q15 format - round(pATable[i] * pow(2, 15)) - */ -const q15_t __ALIGNED(4) realCoefAQ15[8192] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000, - (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000, - (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001, - (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001, - (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002, - (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003, - (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004, - (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005, - (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006, - (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007, - (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009, - (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b, - (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d, - (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f, - (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011, - (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013, - (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016, - (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018, - (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b, - (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e, - (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021, - (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024, - (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028, - (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b, - (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f, - (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033, - (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037, - (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b, - (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040, - (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044, - (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049, - (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e, - (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053, - (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058, - (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d, - (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062, - (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068, - (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e, - (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074, - (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a, - (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080, - (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086, - (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d, - 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(q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3, - (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6, - (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9, - (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec, - (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee, - (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0, - (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2, - (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4, - (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6, - (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8, - (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9, - (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb, - (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc, - (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd, - (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe, - (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff, - (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff, - (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000, - (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000, - (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000, -}; - -/** - @par - Generation of real_CoefB array: - @par - n = 4096 - 
for (i = 0; i < n; i++)
-  {
-     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
-     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
-  }
- @par - Convert to fixed point Q15 format - round(pBTable[i] * pow(2, 15)) -*/ -const q15_t __ALIGNED(4) realCoefBQ15[8192] ARM_DSP_TABLE_ATTRIBUTE = { - (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000, - (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000, - (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff, - (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff, - (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe, - (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd, - (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc, - (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb, - (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa, - (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9, - (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7, - (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5, - (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3, - (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1, - (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef, - (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed, - (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea, - (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8, - (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5, - (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2, - (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf, - (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc, - (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8, - (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5, - (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1, - 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(q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005, - (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004, - (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003, - (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002, - (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001, - (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001, - (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000, - (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000, - (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000, -}; - -/** - @} end of RealFFT_Table group - */ - - - -/** - @brief Q15 table for reciprocal -*/ -const q15_t __ALIGNED(4) armRecipTableQ15[64] ARM_DSP_TABLE_ATTRIBUTE = { - 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, - 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, - 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, - 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, - 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, - 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, - 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, - 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, - 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, - 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, - 0x41CC, 0x4146, 0x40C2, 0x4040 -}; - - - -/** - @brief Q31 table for reciprocal -*/ -const q31_t armRecipTableQ31[64] ARM_DSP_TABLE_ATTRIBUTE = { - 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, - 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, - 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, - 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, - 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, - 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, - 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, - 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, - 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, - 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, - 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 -}; - - -/** - @par - Example code for the generation of the floating-point sine table: - 
-  tableSize = 512;
-  for (n = 0; n < (tableSize + 1); n++)
-  {
- 	sinTable[n] = sin(2*PI*n/tableSize);
-  }
- @par - where PI value is 3.14159265358979 - */ -const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] ARM_DSP_TABLE_ATTRIBUTE = { - 0.000000000f, 0.012271538f, 0.024541229f, 0.036807223f, 0.049067674f, 0.061320736f, - 0.073564564f, 0.085797312f, 0.098017140f, 0.110222207f, 0.122410675f, 0.134580709f, - 0.146730474f, 0.158858143f, 0.170961889f, 0.183039888f, 0.195090322f, 0.207111376f, - 0.219101240f, 0.231058108f, 0.242980180f, 0.254865660f, 0.266712757f, 0.278519689f, - 0.290284677f, 0.302005949f, 0.313681740f, 0.325310292f, 0.336889853f, 0.348418680f, - 0.359895037f, 0.371317194f, 0.382683432f, 0.393992040f, 0.405241314f, 0.416429560f, - 0.427555093f, 0.438616239f, 0.449611330f, 0.460538711f, 0.471396737f, 0.482183772f, - 0.492898192f, 0.503538384f, 0.514102744f, 0.524589683f, 0.534997620f, 0.545324988f, - 0.555570233f, 0.565731811f, 0.575808191f, 0.585797857f, 0.595699304f, 0.605511041f, - 0.615231591f, 0.624859488f, 0.634393284f, 0.643831543f, 0.653172843f, 0.662415778f, - 0.671558955f, 0.680600998f, 0.689540545f, 0.698376249f, 0.707106781f, 0.715730825f, - 0.724247083f, 0.732654272f, 0.740951125f, 0.749136395f, 0.757208847f, 0.765167266f, - 0.773010453f, 0.780737229f, 0.788346428f, 0.795836905f, 0.803207531f, 0.810457198f, - 0.817584813f, 0.824589303f, 0.831469612f, 0.838224706f, 0.844853565f, 0.851355193f, - 0.857728610f, 0.863972856f, 0.870086991f, 0.876070094f, 0.881921264f, 0.887639620f, - 0.893224301f, 0.898674466f, 0.903989293f, 0.909167983f, 0.914209756f, 0.919113852f, - 0.923879533f, 0.928506080f, 0.932992799f, 0.937339012f, 0.941544065f, 0.945607325f, - 0.949528181f, 0.953306040f, 0.956940336f, 0.960430519f, 0.963776066f, 0.966976471f, - 0.970031253f, 0.972939952f, 0.975702130f, 0.978317371f, 0.980785280f, 0.983105487f, - 0.985277642f, 0.987301418f, 0.989176510f, 0.990902635f, 0.992479535f, 0.993906970f, - 0.995184727f, 0.996312612f, 0.997290457f, 0.998118113f, 0.998795456f, 0.999322385f, - 0.999698819f, 0.999924702f, 1.000000000f, 0.999924702f, 0.999698819f, 0.999322385f, - 0.998795456f, 0.998118113f, 0.997290457f, 0.996312612f, 0.995184727f, 0.993906970f, - 0.992479535f, 0.990902635f, 0.989176510f, 0.987301418f, 0.985277642f, 0.983105487f, - 0.980785280f, 0.978317371f, 0.975702130f, 0.972939952f, 0.970031253f, 0.966976471f, - 0.963776066f, 0.960430519f, 0.956940336f, 0.953306040f, 0.949528181f, 0.945607325f, - 0.941544065f, 0.937339012f, 0.932992799f, 0.928506080f, 0.923879533f, 0.919113852f, - 0.914209756f, 0.909167983f, 0.903989293f, 0.898674466f, 0.893224301f, 0.887639620f, - 0.881921264f, 0.876070094f, 0.870086991f, 0.863972856f, 0.857728610f, 0.851355193f, - 0.844853565f, 0.838224706f, 0.831469612f, 0.824589303f, 0.817584813f, 0.810457198f, - 0.803207531f, 0.795836905f, 0.788346428f, 0.780737229f, 0.773010453f, 0.765167266f, - 0.757208847f, 0.749136395f, 0.740951125f, 0.732654272f, 0.724247083f, 0.715730825f, - 0.707106781f, 0.698376249f, 0.689540545f, 0.680600998f, 0.671558955f, 0.662415778f, - 0.653172843f, 0.643831543f, 0.634393284f, 0.624859488f, 0.615231591f, 0.605511041f, - 0.595699304f, 0.585797857f, 0.575808191f, 0.565731811f, 0.555570233f, 0.545324988f, - 0.534997620f, 0.524589683f, 0.514102744f, 0.503538384f, 0.492898192f, 0.482183772f, - 0.471396737f, 0.460538711f, 0.449611330f, 0.438616239f, 0.427555093f, 0.416429560f, - 0.405241314f, 0.393992040f, 0.382683432f, 0.371317194f, 0.359895037f, 0.348418680f, - 0.336889853f, 0.325310292f, 0.313681740f, 0.302005949f, 0.290284677f, 0.278519689f, - 0.266712757f, 0.254865660f, 0.242980180f, 0.231058108f, 0.219101240f, 0.207111376f, - 0.195090322f, 0.183039888f, 0.170961889f, 0.158858143f, 0.146730474f, 0.134580709f, - 0.122410675f, 0.110222207f, 0.098017140f, 0.085797312f, 0.073564564f, 0.061320736f, - 0.049067674f, 0.036807223f, 0.024541229f, 0.012271538f, 0.000000000f, -0.012271538f, - -0.024541229f, -0.036807223f, -0.049067674f, -0.061320736f, -0.073564564f, -0.085797312f, - -0.098017140f, -0.110222207f, -0.122410675f, -0.134580709f, -0.146730474f, -0.158858143f, - -0.170961889f, -0.183039888f, -0.195090322f, -0.207111376f, -0.219101240f, -0.231058108f, - -0.242980180f, -0.254865660f, -0.266712757f, -0.278519689f, -0.290284677f, -0.302005949f, - -0.313681740f, -0.325310292f, -0.336889853f, -0.348418680f, -0.359895037f, -0.371317194f, - -0.382683432f, -0.393992040f, -0.405241314f, -0.416429560f, -0.427555093f, -0.438616239f, - -0.449611330f, -0.460538711f, -0.471396737f, -0.482183772f, -0.492898192f, -0.503538384f, - -0.514102744f, -0.524589683f, -0.534997620f, -0.545324988f, -0.555570233f, -0.565731811f, - -0.575808191f, -0.585797857f, -0.595699304f, -0.605511041f, -0.615231591f, -0.624859488f, - -0.634393284f, -0.643831543f, -0.653172843f, -0.662415778f, -0.671558955f, -0.680600998f, - -0.689540545f, -0.698376249f, -0.707106781f, -0.715730825f, -0.724247083f, -0.732654272f, - -0.740951125f, -0.749136395f, -0.757208847f, -0.765167266f, -0.773010453f, -0.780737229f, - -0.788346428f, -0.795836905f, -0.803207531f, -0.810457198f, -0.817584813f, -0.824589303f, - -0.831469612f, -0.838224706f, -0.844853565f, -0.851355193f, -0.857728610f, -0.863972856f, - -0.870086991f, -0.876070094f, -0.881921264f, -0.887639620f, -0.893224301f, -0.898674466f, - -0.903989293f, -0.909167983f, -0.914209756f, -0.919113852f, -0.923879533f, -0.928506080f, - -0.932992799f, -0.937339012f, -0.941544065f, -0.945607325f, -0.949528181f, -0.953306040f, - -0.956940336f, -0.960430519f, -0.963776066f, -0.966976471f, -0.970031253f, -0.972939952f, - -0.975702130f, -0.978317371f, -0.980785280f, -0.983105487f, -0.985277642f, -0.987301418f, - -0.989176510f, -0.990902635f, -0.992479535f, -0.993906970f, -0.995184727f, -0.996312612f, - -0.997290457f, -0.998118113f, -0.998795456f, -0.999322385f, -0.999698819f, -0.999924702f, - -1.000000000f, -0.999924702f, -0.999698819f, -0.999322385f, -0.998795456f, -0.998118113f, - -0.997290457f, -0.996312612f, -0.995184727f, -0.993906970f, -0.992479535f, -0.990902635f, - -0.989176510f, -0.987301418f, -0.985277642f, -0.983105487f, -0.980785280f, -0.978317371f, - -0.975702130f, -0.972939952f, -0.970031253f, -0.966976471f, -0.963776066f, -0.960430519f, - -0.956940336f, -0.953306040f, -0.949528181f, -0.945607325f, -0.941544065f, -0.937339012f, - -0.932992799f, -0.928506080f, -0.923879533f, -0.919113852f, -0.914209756f, -0.909167983f, - -0.903989293f, -0.898674466f, -0.893224301f, -0.887639620f, -0.881921264f, -0.876070094f, - -0.870086991f, -0.863972856f, -0.857728610f, -0.851355193f, -0.844853565f, -0.838224706f, - -0.831469612f, -0.824589303f, -0.817584813f, -0.810457198f, -0.803207531f, -0.795836905f, - -0.788346428f, -0.780737229f, -0.773010453f, -0.765167266f, -0.757208847f, -0.749136395f, - -0.740951125f, -0.732654272f, -0.724247083f, -0.715730825f, -0.707106781f, -0.698376249f, - -0.689540545f, -0.680600998f, -0.671558955f, -0.662415778f, -0.653172843f, -0.643831543f, - -0.634393284f, -0.624859488f, -0.615231591f, -0.605511041f, -0.595699304f, -0.585797857f, - -0.575808191f, -0.565731811f, -0.555570233f, -0.545324988f, -0.534997620f, -0.524589683f, - -0.514102744f, -0.503538384f, -0.492898192f, -0.482183772f, -0.471396737f, -0.460538711f, - -0.449611330f, -0.438616239f, -0.427555093f, -0.416429560f, -0.405241314f, -0.393992040f, - -0.382683432f, -0.371317194f, -0.359895037f, -0.348418680f, -0.336889853f, -0.325310292f, - -0.313681740f, -0.302005949f, -0.290284677f, -0.278519689f, -0.266712757f, -0.254865660f, - -0.242980180f, -0.231058108f, -0.219101240f, -0.207111376f, -0.195090322f, -0.183039888f, - -0.170961889f, -0.158858143f, -0.146730474f, -0.134580709f, -0.122410675f, -0.110222207f, - -0.098017140f, -0.085797312f, -0.073564564f, -0.061320736f, -0.049067674f, -0.036807223f, - -0.024541229f, -0.012271538f, -0.000000000f -}; - -/** - @par - Table values are in Q31 (1.31 fixed-point format) and generation is done in - three steps. First, generate sin values in floating point: - 
-  tableSize = 512;
-  for (n = 0; n < (tableSize + 1); n++)
-  {
- 	sinTable[n] = sin(2*PI*n/tableSize);
-  }
- where PI value is 3.14159265358979 - @par - Second, convert floating-point to Q31 (Fixed point): - (sinTable[i] * pow(2, 31)) - @par - Finally, round to the nearest integer value: - sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5); - */ -const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] ARM_DSP_TABLE_ATTRIBUTE = { - 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L, - 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L, - 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L, - 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L, - 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L, - 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L, - 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L, - 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L, - 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L, - 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L, - 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L, - 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L, - 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L, - 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L, - 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L, - 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L, - 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L, - 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L, - 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L, - 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L, - 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L, - 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L, - 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L, - 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L, - 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L, - 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L, - 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L, - 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L, - 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L, - 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L, - 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L, - 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L, - 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L, - 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L, - 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L, - 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L, - 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L, - 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L, - 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L, - 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L, - 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L, - 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L, - 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L, - -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L, - -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L, - -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L, - -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L, - -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L, - -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L, - -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L, - -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L, - -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L, - -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L, - -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L, - -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L, - -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L, - -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L, - -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L, - -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L, - -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L, - -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L, - -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L, - -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L, - -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L, - -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L, - -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L, - -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L, - -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L, - -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L, - -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L, - -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L, - -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L, - -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L, - -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L, - -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L, - -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L, - -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L, - -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L, - -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L, - -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L, - -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L, - -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L, - -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L, - -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L, - -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L, - -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L, - -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L, - -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L, - -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L, - -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L, - -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0 -}; - - -/** - @par - Table values are in Q15 (1.15 fixed-point format) and generation is done in - three steps. First, generate sin values in floating point: - 
-  tableSize = 512;
-  for (n = 0; n < (tableSize + 1); n++)
-  {
- 	sinTable[n] = sin(2*PI*n/tableSize);
-  }
- where PI value is 3.14159265358979 - @par - Second, convert floating-point to Q15 (Fixed point): - (sinTable[i] * pow(2, 15)) - @par - Finally, round to the nearest integer value: - sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); - */ -const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] ARM_DSP_TABLE_ATTRIBUTE = { - 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808, - 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512, - 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279, - 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846, - 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160, - 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170, - 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833, - 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106, - 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957, - 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357, - 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286, - 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729, - 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679, - 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138, - 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114, - 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622, - 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684, - 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330, - 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595, - 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520, - 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151, - 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540, - 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351, - 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612, - 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206, - -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205, - -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127, - -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540, - -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800, - -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868, - -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706, - -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279, - -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557, - -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511, - -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118, - -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357, - -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214, - -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679, - -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746, - -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413, - -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686, - -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572, - -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086, - -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246, - -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073, - -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595, - -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841, - -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846, - -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646, - -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279, - -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393, - -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411, - -2009, -1608, -1206, -804, -402, 0 -}; - -#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) - -const q31_t sqrtTable_Q31[256] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x5ffffffe, 0x7ffffffa, 0x5e88c596, 0x7a39e2ff, - 0x5d2238d8, 0x74dfa6b1, 0x5bcb268e, 0x6fe69562, - 0x5a827998, 0x6b454dba, 0x5947373a, 0x66f39063, - 0x58187bf8, 0x62ea1669, 0x56f578e6, 0x5f226e5f, - 0x55dd714e, 0x5b96df40, 0x54cfb8b0, 0x58424fca, - 0x53cbb102, 0x552031c7, 0x52d0c92c, 0x522c7048, - 0x51de7bb2, 0x4f6360a9, 0x50f44d86, 0x4cc1b594, - 0x5011cd0a, 0x4a4473f6, 0x4f36911a, 0x47e8e962, - 0x4e62384e, 0x45aca3d0, 0x4d946838, 0x438d6a6a, - 0x4cccccca, 0x41893746, 0x4c0b17c0, 0x3f9e31fa, - 0x4b4f0022, 0x3dcaaac3, 0x4a9841ce, 0x3c0d1660, - 0x49e69d14, 0x3a640a53, 0x4939d654, 0x38ce39a6, - 0x4891b5b2, 0x374a720b, 0x47ee06ba, 0x35d7993c, - 0x474e9830, 0x3474aacc, 0x46b33bc0, 0x3320b60c, - 0x461bc5d2, 0x31dadc4f, 0x45880d4c, 0x30a24f3c, - 0x44f7eb6a, 0x2f764f6a, 0x446b3b92, 0x2e562b0b, - 0x43e1db32, 0x2d413cc9, 0x435ba98a, 0x2c36eab0, - 0x42d887a4, 0x2b36a542, 0x42585824, 0x2a3fe69b, - 0x41daff34, 0x295231b0, 0x41606266, 0x286d118d, - 0x40e868a4, 0x279018c3, 0x4072fa10, 0x26bae0c8, - 0x3ffffffe, 0x25ed0979, 0x3f8f64d2, 0x25263894, - 0x3f2113f8, 0x24661958, 0x3eb4f9d8, 0x23ac5c10, - 0x3e4b03ba, 0x22f8b5bb, 0x3de31fc4, 0x224adfba, - 0x3d7d3cee, 0x21a2977a, 0x3d194ae8, 0x20ff9e30, - 0x3cb73a24, 0x2061b89a, 0x3c56fbba, 0x1fc8aebb, - 0x3bf88166, 0x1f344ba6, 0x3b9bbd80, 0x1ea45d4b, - 0x3b40a2f0, 0x1e18b448, 0x3ae7252e, 0x1d9123b9, - 0x3a8f382c, 0x1d0d8113, 0x3a38d062, 0x1c8da3fb, - 0x39e3e2b6, 0x1c116628, 0x39906482, 0x1b98a33c, - 0x393e4b8a, 0x1b2338aa, 0x38ed8df6, 0x1ab1059a, - 0x389e2250, 0x1a41eace, 0x384fff7a, 0x19d5ca89, - 0x38031cb2, 0x196c887b, 0x37b77184, 0x190609a9, - 0x376cf5ce, 0x18a2345b, 0x3723a1ba, 0x1840f00a, - 0x36db6db6, 0x17e22550, 0x36945276, 0x1785bdd2, - 0x364e48f4, 0x172ba43e, 0x36094a64, 0x16d3c42c, - 0x35c55036, 0x167e0a1f, 0x35825414, 0x162a6372, - 0x35404fde, 0x15d8be4d, 0x34ff3dac, 0x1589099d, - 0x34bf17c4, 0x153b3508, 0x347fd89e, 0x14ef30e4, - 0x34417ade, 0x14a4ee2a, 0x3403f956, 0x145c5e76, - 0x33c74f02, 0x141573fa, 0x338b7706, 0x13d02171, - 0x33506cae, 0x138c5a28, 0x33162b6a, 0x134a11e6, - 0x32dcaed0, 0x13093cee, 0x32a3f294, 0x12c9cffa, - 0x326bf292, 0x128bc034, 0x3234aac0, 0x124f0330, - 0x31fe1736, 0x12138ee5, 0x31c83428, 0x11d959b0, - 0x3192fde6, 0x11a05a45, 0x315e70de, 0x116887b5, - 0x312a8994, 0x1131d960, 0x30f744aa, 0x10fc46fd, - 0x30c49ed6, 0x10c7c88b, 0x309294ea, 0x10945653, - 0x306123cc, 0x1061e8e6, 0x30304878, 0x10307919 -}; - -const q15_t sqrtTable_Q15[256] ARM_DSP_TABLE_ATTRIBUTE = { - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, - 0x5fff, 0x7fff, 0x5e88, 0x7a39, - 0x5d22, 0x74df, 0x5bcb, 0x6fe6, - 0x5a82, 0x6b45, 0x5947, 0x66f3, - 0x5818, 0x62ea, 0x56f5, 0x5f22, - 0x55dd, 0x5b96, 0x54cf, 0x5842, - 0x53cb, 0x5520, 0x52d0, 0x522c, - 0x51de, 0x4f63, 0x50f4, 0x4cc1, - 0x5011, 0x4a44, 0x4f36, 0x47e8, - 0x4e62, 0x45ac, 0x4d94, 0x438d, - 0x4ccc, 0x4189, 0x4c0b, 0x3f9e, - 0x4b4f, 0x3dca, 0x4a98, 0x3c0d, - 0x49e6, 0x3a64, 0x4939, 0x38ce, - 0x4891, 0x374a, 0x47ee, 0x35d7, - 0x474e, 0x3474, 0x46b3, 0x3320, - 0x461b, 0x31da, 0x4588, 0x30a2, - 0x44f7, 0x2f76, 0x446b, 0x2e56, - 0x43e1, 0x2d41, 0x435b, 0x2c36, - 0x42d8, 0x2b36, 0x4258, 0x2a3f, - 0x41da, 0x2952, 0x4160, 0x286d, - 0x40e8, 0x2790, 0x4072, 0x26ba, - 0x3fff, 0x25ed, 0x3f8f, 0x2526, - 0x3f21, 0x2466, 0x3eb4, 0x23ac, - 0x3e4b, 0x22f8, 0x3de3, 0x224a, - 0x3d7d, 0x21a2, 0x3d19, 0x20ff, - 0x3cb7, 0x2061, 0x3c56, 0x1fc8, - 0x3bf8, 0x1f34, 0x3b9b, 0x1ea4, - 0x3b40, 0x1e18, 0x3ae7, 0x1d91, - 0x3a8f, 0x1d0d, 0x3a38, 0x1c8d, - 0x39e3, 0x1c11, 0x3990, 0x1b98, - 0x393e, 0x1b23, 0x38ed, 0x1ab1, - 0x389e, 0x1a41, 0x384f, 0x19d5, - 0x3803, 0x196c, 0x37b7, 0x1906, - 0x376c, 0x18a2, 0x3723, 0x1840, - 0x36db, 0x17e2, 0x3694, 0x1785, - 0x364e, 0x172b, 0x3609, 0x16d3, - 0x35c5, 0x167e, 0x3582, 0x162a, - 0x3540, 0x15d8, 0x34ff, 0x1589, - 0x34bf, 0x153b, 0x347f, 0x14ef, - 0x3441, 0x14a4, 0x3403, 0x145c, - 0x33c7, 0x1415, 0x338b, 0x13d0, - 0x3350, 0x138c, 0x3316, 0x134a, - 0x32dc, 0x1309, 0x32a3, 0x12c9, - 0x326b, 0x128b, 0x3234, 0x124f, - 0x31fe, 0x1213, 0x31c8, 0x11d9, - 0x3192, 0x11a0, 0x315e, 0x1168, - 0x312a, 0x1131, 0x30f7, 0x10fc, - 0x30c4, 0x10c7, 0x3092, 0x1094, - 0x3061, 0x1061, 0x3030, 0x1030 -}; - -/* haming weight LUT for bytes */ -#define B2(n) n, n + 1, n + 1, n + 2 -#define B4(n) B2(n) , B2(n + 1), B2(n + 1), B2(n + 2) -#define B6(n) B4(n) , B4(n + 1), B4(n + 1), B4(n + 2) - -// Lookup table that store the reverse of each table -const unsigned char hwLUT[256] ARM_DSP_TABLE_ATTRIBUTE = { B6(0), B6(1), B6(1), B6(2) }; - -#endif -/* -ClearAll[tofix]; -tofix[q_][a_] := With[{r = Round[a*2^q]}, - If[r > (2^q - 1), 2^q - 1, r] - ]; - -(* For q = format, 2^nb is length of the table *) -With[{q = 15, nb = 4, q12quarter = 16^^2000}, - With[{shift = Echo[q - nb]}, - Table[tofix[q][1.0/Sqrt[1.0*i/2^q]/8.0], {i, 2^(q - 2), - 2^q + q12quarter - 1, 2^shift}]] - ] // CopyToClipboard - -*/ -const q31_t sqrt_initial_lut_q31[32] ARM_DSP_TABLE_ATTRIBUTE = {536870912, 506166750, 480191942, 457845052, 438353264, 421156193, \ -405836263, 392075079, 379625062, 368290407, 357913941, 348367849, \ -339546978, 331363921, 323745341, 316629190, 309962566, 303700050, \ -297802400, 292235509, 286969573, 281978417, 277238947, 272730696, \ -268435456, 264336964, 260420644, 256673389, 253083375, 249639903, \ -246333269, 243154642}; - -const q15_t sqrt_initial_lut_q15[16] ARM_DSP_TABLE_ATTRIBUTE ={8192, 7327, 6689, 6193, 5793, 5461, 5181, 4940, 4730, 4544, 4379, \ -4230, 4096, 3974, 3862, 3759}; - - -#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) - -const float32_t exp_tab[8] ARM_DSP_TABLE_ATTRIBUTE = { - (1.f), - (0.0416598916054f), - (0.500000596046f), - (0.0014122662833f), - (1.00000011921f), - (0.00833693705499f), - (0.166665703058f), - (0.000195780929062f), -}; - -const float32_t __logf_lut_f32[8] ARM_DSP_TABLE_ATTRIBUTE = { - -2.295614848256274f, /*p0*/ - -2.470711633419806f, /*p4*/ - -5.686926051100417f, /*p2*/ - -0.165253547131978f, /*p6*/ - +5.175912446351073f, /*p1*/ - +0.844006986174912f, /*p5*/ - +4.584458825456749f, /*p3*/ - +0.014127821926000f /*p7*/ -}; - - -#endif - diff --git a/third_party/cmsis-dsp/Source/CommonTables/arm_const_structs.c b/third_party/cmsis-dsp/Source/CommonTables/arm_const_structs.c deleted file mode 100644 index b642a45..0000000 --- a/third_party/cmsis-dsp/Source/CommonTables/arm_const_structs.c +++ /dev/null @@ -1,519 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_const_structs.c - * Description: Constant structs that are initialized for user convenience. - * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. - * - * $Date: 23 April 2021 - * $Revision: V1.9.0 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#include "arm_compiler_specific.h" -#include "arm_math_types.h" -#include "arm_const_structs.h" - -/* -ALLOW TABLE is true when config table is enabled and the Tramsform folder is included -for compilation. -*/ - -/* Floating-point structs */ -const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 ARM_DSP_TABLE_ATTRIBUTE = { - 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH -}; - -/* Floating-point structs */ -#if (!defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 ARM_DSP_TABLE_ATTRIBUTE = { - 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH -}; - - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH -}; - -#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ - -/* Fixed-point structs */ - -#if (!defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - -/* - -Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. -So they are not compiled when MVE is defined. - -For the MVE version, the new arm_cfft_init_f32 must be used. - - -*/ - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 ARM_DSP_TABLE_ATTRIBUTE = { - 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH -}; -#endif - -#if (!defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 ARM_DSP_TABLE_ATTRIBUTE = { - 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH -}; - -#endif /* !defined(ARM_MATH_MVEI) */ - -/* Structure for real-value inputs */ -/* Double precision strucs */ - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 ARM_DSP_TABLE_ATTRIBUTE = { - { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH }, - 32U, - (float64_t *)twiddleCoefF64_rfft_32 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 ARM_DSP_TABLE_ATTRIBUTE = { - { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH }, - 64U, - (float64_t *)twiddleCoefF64_rfft_64 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 ARM_DSP_TABLE_ATTRIBUTE = { - { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH }, - 128U, - (float64_t *)twiddleCoefF64_rfft_128 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 ARM_DSP_TABLE_ATTRIBUTE = { - { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH }, - 256U, - (float64_t *)twiddleCoefF64_rfft_256 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 ARM_DSP_TABLE_ATTRIBUTE = { - { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH }, - 512U, - (float64_t *)twiddleCoefF64_rfft_512 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH }, - 1024U, - (float64_t *)twiddleCoefF64_rfft_1024 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH }, - 2048U, - (float64_t *)twiddleCoefF64_rfft_2048 -}; - -const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH }, - 4096U, - (float64_t *)twiddleCoefF64_rfft_4096 -}; - -/* Floating-point structs */ - -#if (!defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 ARM_DSP_TABLE_ATTRIBUTE = { - { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH }, - 32U, - (float32_t *)twiddleCoef_rfft_32 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 ARM_DSP_TABLE_ATTRIBUTE = { - { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH }, - 64U, - (float32_t *)twiddleCoef_rfft_64 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 ARM_DSP_TABLE_ATTRIBUTE = { - { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH }, - 128U, - (float32_t *)twiddleCoef_rfft_128 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 ARM_DSP_TABLE_ATTRIBUTE = { - { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH }, - 256U, - (float32_t *)twiddleCoef_rfft_256 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 ARM_DSP_TABLE_ATTRIBUTE = { - { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH }, - 512U, - (float32_t *)twiddleCoef_rfft_512 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH }, - 1024U, - (float32_t *)twiddleCoef_rfft_1024 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH }, - 2048U, - (float32_t *)twiddleCoef_rfft_2048 -}; - -const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH }, - 4096U, - (float32_t *)twiddleCoef_rfft_4096 -}; - -#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ - -/* Fixed-point structs */ -/* q31_t */ - -#if (!defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - -/* - -Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. -So they are not compiled when MVE is defined. - -For the MVE version, the new arm_cfft_init_f32 must be used. - - -*/ - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32U, - 0, - 1, - 256U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len16 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64U, - 0, - 1, - 128U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len32 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128U, - 0, - 1, - 64U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len64 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256U, - 0, - 1, - 32U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len128 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512U, - 0, - 1, - 16U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len256 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024U, - 0, - 1, - 8U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len512 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048U, - 0, - 1, - 4U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len1024 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096U, - 0, - 1, - 2U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len2048 -}; - -const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 ARM_DSP_TABLE_ATTRIBUTE = { - 8192U, - 0, - 1, - 1U, - (q31_t*)realCoefAQ31, - (q31_t*)realCoefBQ31, - &arm_cfft_sR_q31_len4096 -}; - -#endif - -#if (!defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)) && !defined(ARM_MATH_NEON) - - -/* q15_t */ -const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 ARM_DSP_TABLE_ATTRIBUTE = { - 32U, - 0, - 1, - 256U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len16 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 ARM_DSP_TABLE_ATTRIBUTE = { - 64U, - 0, - 1, - 128U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len32 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 ARM_DSP_TABLE_ATTRIBUTE = { - 128U, - 0, - 1, - 64U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len64 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 ARM_DSP_TABLE_ATTRIBUTE = { - 256U, - 0, - 1, - 32U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len128 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 ARM_DSP_TABLE_ATTRIBUTE = { - 512U, - 0, - 1, - 16U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len256 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 ARM_DSP_TABLE_ATTRIBUTE = { - 1024U, - 0, - 1, - 8U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len512 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 ARM_DSP_TABLE_ATTRIBUTE = { - 2048U, - 0, - 1, - 4U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len1024 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 ARM_DSP_TABLE_ATTRIBUTE = { - 4096U, - 0, - 1, - 2U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len2048 -}; - -const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 ARM_DSP_TABLE_ATTRIBUTE = { - 8192U, - 0, - 1, - 1U, - (q15_t*)realCoefAQ15, - (q15_t*)realCoefBQ15, - &arm_cfft_sR_q15_len4096 -}; - -#endif /* !defined(ARM_MATH_MVEI) */ - - diff --git a/third_party/cmsis-dsp/Source/CommonTables/arm_mve_tables.c b/third_party/cmsis-dsp/Source/CommonTables/arm_mve_tables.c deleted file mode 100755 index c69f68e..0000000 --- a/third_party/cmsis-dsp/Source/CommonTables/arm_mve_tables.c +++ /dev/null @@ -1,6484 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_mve_tables.c - * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc - * used for MVE implementation only - * - * @version V1.10.0 - * @date 04 October 2021 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - #include "arm_compiler_specific.h" - - #include "arm_math_types.h" - - - - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - - - -const uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const float32_t rearranged_twiddle_stride1_16_f32[8] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.92387950420379638672f, -0.38268342614173889160f,0.70710676908493041992f,0.70710676908493041992f, -0.38268342614173889160f,0.92387950420379638672f,}; - -const float32_t rearranged_twiddle_stride2_16_f32[8] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.70710676908493041992f, -0.70710676908493041992f,0.00000000000000006123f,1.00000000000000000000f, --0.70710676908493041992f,0.70710676908493041992f,}; - -const float32_t rearranged_twiddle_stride3_16_f32[8] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.38268342614173889160f, -0.92387950420379638672f,-0.70710676908493041992f,0.70710676908493041992f, --0.92387950420379638672f,-0.38268342614173889160f,}; - - - -const uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const float32_t rearranged_twiddle_stride1_64_f32[40] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.99518471956253051758f, -0.09801714122295379639f,0.98078525066375732422f,0.19509032368659973145f, -0.95694035291671752930f,0.29028466343879699707f,0.92387950420379638672f, -0.38268342614173889160f,0.88192129135131835938f,0.47139674425125122070f, -0.83146959543228149414f,0.55557024478912353516f,0.77301043272018432617f, -0.63439327478408813477f,0.70710676908493041992f,0.70710676908493041992f, -0.63439327478408813477f,0.77301043272018432617f,0.55557024478912353516f, -0.83146959543228149414f,0.47139674425125122070f,0.88192129135131835938f, -0.38268342614173889160f,0.92387950420379638672f,0.29028466343879699707f, -0.95694035291671752930f,0.19509032368659973145f,0.98078525066375732422f, -0.09801714122295379639f,0.99518471956253051758f,1.00000000000000000000f, -0.00000000000000000000f,0.92387950420379638672f,0.38268342614173889160f, -0.70710676908493041992f,0.70710676908493041992f,0.38268342614173889160f, -0.92387950420379638672f,}; - -const float32_t rearranged_twiddle_stride2_64_f32[40] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.98078525066375732422f, -0.19509032368659973145f,0.92387950420379638672f,0.38268342614173889160f, -0.83146959543228149414f,0.55557024478912353516f,0.70710676908493041992f, -0.70710676908493041992f,0.55557024478912353516f,0.83146959543228149414f, -0.38268342614173889160f,0.92387950420379638672f,0.19509032368659973145f, -0.98078525066375732422f,0.00000000000000006123f,1.00000000000000000000f, --0.19509032368659973145f,0.98078525066375732422f,-0.38268342614173889160f, -0.92387950420379638672f,-0.55557024478912353516f,0.83146959543228149414f, --0.70710676908493041992f,0.70710676908493041992f,-0.83146959543228149414f, -0.55557024478912353516f,-0.92387950420379638672f,0.38268342614173889160f, --0.98078525066375732422f,0.19509032368659973145f,1.00000000000000000000f, -0.00000000000000000000f,0.70710676908493041992f,0.70710676908493041992f, -0.00000000000000006123f,1.00000000000000000000f,-0.70710676908493041992f, -0.70710676908493041992f,}; - -const float32_t rearranged_twiddle_stride3_64_f32[40] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.95694035291671752930f, -0.29028466343879699707f,0.83146959543228149414f,0.55557024478912353516f, -0.63439327478408813477f,0.77301043272018432617f,0.38268342614173889160f, -0.92387950420379638672f,0.09801714122295379639f,0.99518471956253051758f, --0.19509032368659973145f,0.98078525066375732422f,-0.47139674425125122070f, -0.88192129135131835938f,-0.70710676908493041992f,0.70710676908493041992f, --0.88192129135131835938f,0.47139674425125122070f,-0.98078525066375732422f, -0.19509032368659973145f,-0.99518471956253051758f,-0.09801714122295379639f, --0.92387950420379638672f,-0.38268342614173889160f,-0.77301043272018432617f, --0.63439327478408813477f,-0.55557024478912353516f,-0.83146959543228149414f, --0.29028466343879699707f,-0.95694035291671752930f,1.00000000000000000000f, -0.00000000000000000000f,0.38268342614173889160f,0.92387950420379638672f, --0.70710676908493041992f,0.70710676908493041992f,-0.92387950420379638672f, --0.38268342614173889160f,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const float32_t rearranged_twiddle_stride1_256_f32[168] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.99969881772994995117f, -0.02454122900962829590f,0.99879544973373413086f,0.04906767606735229492f, -0.99729043245315551758f,0.07356456667184829712f,0.99518471956253051758f, -0.09801714122295379639f,0.99247956275939941406f,0.12241067737340927124f, -0.98917651176452636719f,0.14673046767711639404f,0.98527765274047851562f, -0.17096188664436340332f,0.98078525066375732422f,0.19509032368659973145f, -0.97570210695266723633f,0.21910123527050018311f,0.97003126144409179688f, -0.24298018217086791992f,0.96377605199813842773f,0.26671275496482849121f, -0.95694035291671752930f,0.29028466343879699707f,0.94952815771102905273f, -0.31368175148963928223f,0.94154405593872070312f,0.33688986301422119141f, -0.93299281597137451172f,0.35989505052566528320f,0.92387950420379638672f, -0.38268342614173889160f,0.91420978307723999023f,0.40524131059646606445f, -0.90398931503295898438f,0.42755508422851562500f,0.89322429895401000977f, -0.44961133599281311035f,0.88192129135131835938f,0.47139674425125122070f, -0.87008696794509887695f,0.49289819598197937012f,0.85772860050201416016f, -0.51410275697708129883f,0.84485357999801635742f,0.53499764204025268555f, -0.83146959543228149414f,0.55557024478912353516f,0.81758481264114379883f, -0.57580816745758056641f,0.80320751667022705078f,0.59569931030273437500f, -0.78834640979766845703f,0.61523157358169555664f,0.77301043272018432617f, -0.63439327478408813477f,0.75720882415771484375f,0.65317285060882568359f, -0.74095112085342407227f,0.67155897617340087891f,0.72424709796905517578f, -0.68954056501388549805f,0.70710676908493041992f,0.70710676908493041992f, -0.68954056501388549805f,0.72424709796905517578f,0.67155897617340087891f, -0.74095112085342407227f,0.65317285060882568359f,0.75720882415771484375f, -0.63439327478408813477f,0.77301043272018432617f,0.61523157358169555664f, -0.78834640979766845703f,0.59569931030273437500f,0.80320751667022705078f, -0.57580816745758056641f,0.81758481264114379883f,0.55557024478912353516f, -0.83146959543228149414f,0.53499764204025268555f,0.84485357999801635742f, -0.51410275697708129883f,0.85772860050201416016f,0.49289819598197937012f, -0.87008696794509887695f,0.47139674425125122070f,0.88192129135131835938f, -0.44961133599281311035f,0.89322429895401000977f,0.42755508422851562500f, -0.90398931503295898438f,0.40524131059646606445f,0.91420978307723999023f, -0.38268342614173889160f,0.92387950420379638672f,0.35989505052566528320f, -0.93299281597137451172f,0.33688986301422119141f,0.94154405593872070312f, -0.31368175148963928223f,0.94952815771102905273f,0.29028466343879699707f, -0.95694035291671752930f,0.26671275496482849121f,0.96377605199813842773f, -0.24298018217086791992f,0.97003126144409179688f,0.21910123527050018311f, -0.97570210695266723633f,0.19509032368659973145f,0.98078525066375732422f, -0.17096188664436340332f,0.98527765274047851562f,0.14673046767711639404f, -0.98917651176452636719f,0.12241067737340927124f,0.99247956275939941406f, -0.09801714122295379639f,0.99518471956253051758f,0.07356456667184829712f, -0.99729043245315551758f,0.04906767606735229492f,0.99879544973373413086f, -0.02454122900962829590f,0.99969881772994995117f,1.00000000000000000000f, -0.00000000000000000000f,0.99518471956253051758f,0.09801714122295379639f, -0.98078525066375732422f,0.19509032368659973145f,0.95694035291671752930f, -0.29028466343879699707f,0.92387950420379638672f,0.38268342614173889160f, -0.88192129135131835938f,0.47139674425125122070f,0.83146959543228149414f, -0.55557024478912353516f,0.77301043272018432617f,0.63439327478408813477f, -0.70710676908493041992f,0.70710676908493041992f,0.63439327478408813477f, -0.77301043272018432617f,0.55557024478912353516f,0.83146959543228149414f, -0.47139674425125122070f,0.88192129135131835938f,0.38268342614173889160f, -0.92387950420379638672f,0.29028466343879699707f,0.95694035291671752930f, -0.19509032368659973145f,0.98078525066375732422f,0.09801714122295379639f, -0.99518471956253051758f,1.00000000000000000000f,0.00000000000000000000f, -0.92387950420379638672f,0.38268342614173889160f,0.70710676908493041992f, -0.70710676908493041992f,0.38268342614173889160f,0.92387950420379638672f,}; - -const float32_t rearranged_twiddle_stride2_256_f32[168] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.99879544973373413086f, -0.04906767606735229492f,0.99518471956253051758f,0.09801714122295379639f, -0.98917651176452636719f,0.14673046767711639404f,0.98078525066375732422f, -0.19509032368659973145f,0.97003126144409179688f,0.24298018217086791992f, -0.95694035291671752930f,0.29028466343879699707f,0.94154405593872070312f, -0.33688986301422119141f,0.92387950420379638672f,0.38268342614173889160f, -0.90398931503295898438f,0.42755508422851562500f,0.88192129135131835938f, -0.47139674425125122070f,0.85772860050201416016f,0.51410275697708129883f, -0.83146959543228149414f,0.55557024478912353516f,0.80320751667022705078f, -0.59569931030273437500f,0.77301043272018432617f,0.63439327478408813477f, -0.74095112085342407227f,0.67155897617340087891f,0.70710676908493041992f, -0.70710676908493041992f,0.67155897617340087891f,0.74095112085342407227f, -0.63439327478408813477f,0.77301043272018432617f,0.59569931030273437500f, -0.80320751667022705078f,0.55557024478912353516f,0.83146959543228149414f, -0.51410275697708129883f,0.85772860050201416016f,0.47139674425125122070f, -0.88192129135131835938f,0.42755508422851562500f,0.90398931503295898438f, -0.38268342614173889160f,0.92387950420379638672f,0.33688986301422119141f, -0.94154405593872070312f,0.29028466343879699707f,0.95694035291671752930f, -0.24298018217086791992f,0.97003126144409179688f,0.19509032368659973145f, -0.98078525066375732422f,0.14673046767711639404f,0.98917651176452636719f, -0.09801714122295379639f,0.99518471956253051758f,0.04906767606735229492f, -0.99879544973373413086f,0.00000000000000006123f,1.00000000000000000000f, --0.04906767606735229492f,0.99879544973373413086f,-0.09801714122295379639f, -0.99518471956253051758f,-0.14673046767711639404f,0.98917651176452636719f, --0.19509032368659973145f,0.98078525066375732422f,-0.24298018217086791992f, -0.97003126144409179688f,-0.29028466343879699707f,0.95694035291671752930f, --0.33688986301422119141f,0.94154405593872070312f,-0.38268342614173889160f, -0.92387950420379638672f,-0.42755508422851562500f,0.90398931503295898438f, --0.47139674425125122070f,0.88192129135131835938f,-0.51410275697708129883f, -0.85772860050201416016f,-0.55557024478912353516f,0.83146959543228149414f, --0.59569931030273437500f,0.80320751667022705078f,-0.63439327478408813477f, -0.77301043272018432617f,-0.67155897617340087891f,0.74095112085342407227f, --0.70710676908493041992f,0.70710676908493041992f,-0.74095112085342407227f, -0.67155897617340087891f,-0.77301043272018432617f,0.63439327478408813477f, --0.80320751667022705078f,0.59569931030273437500f,-0.83146959543228149414f, -0.55557024478912353516f,-0.85772860050201416016f,0.51410275697708129883f, --0.88192129135131835938f,0.47139674425125122070f,-0.90398931503295898438f, -0.42755508422851562500f,-0.92387950420379638672f,0.38268342614173889160f, --0.94154405593872070312f,0.33688986301422119141f,-0.95694035291671752930f, -0.29028466343879699707f,-0.97003126144409179688f,0.24298018217086791992f, --0.98078525066375732422f,0.19509032368659973145f,-0.98917651176452636719f, -0.14673046767711639404f,-0.99518471956253051758f,0.09801714122295379639f, --0.99879544973373413086f,0.04906767606735229492f,1.00000000000000000000f, -0.00000000000000000000f,0.98078525066375732422f,0.19509032368659973145f, -0.92387950420379638672f,0.38268342614173889160f,0.83146959543228149414f, -0.55557024478912353516f,0.70710676908493041992f,0.70710676908493041992f, -0.55557024478912353516f,0.83146959543228149414f,0.38268342614173889160f, -0.92387950420379638672f,0.19509032368659973145f,0.98078525066375732422f, -0.00000000000000006123f,1.00000000000000000000f,-0.19509032368659973145f, -0.98078525066375732422f,-0.38268342614173889160f,0.92387950420379638672f, --0.55557024478912353516f,0.83146959543228149414f,-0.70710676908493041992f, -0.70710676908493041992f,-0.83146959543228149414f,0.55557024478912353516f, --0.92387950420379638672f,0.38268342614173889160f,-0.98078525066375732422f, -0.19509032368659973145f,1.00000000000000000000f,0.00000000000000000000f, -0.70710676908493041992f,0.70710676908493041992f,0.00000000000000006123f, -1.00000000000000000000f,-0.70710676908493041992f,0.70710676908493041992f,}; - -const float32_t rearranged_twiddle_stride3_256_f32[168] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.99729043245315551758f, -0.07356456667184829712f,0.98917651176452636719f,0.14673046767711639404f, -0.97570210695266723633f,0.21910123527050018311f,0.95694035291671752930f, -0.29028466343879699707f,0.93299281597137451172f,0.35989505052566528320f, -0.90398931503295898438f,0.42755508422851562500f,0.87008696794509887695f, -0.49289819598197937012f,0.83146959543228149414f,0.55557024478912353516f, -0.78834640979766845703f,0.61523157358169555664f,0.74095112085342407227f, -0.67155897617340087891f,0.68954056501388549805f,0.72424709796905517578f, -0.63439327478408813477f,0.77301043272018432617f,0.57580816745758056641f, -0.81758481264114379883f,0.51410275697708129883f,0.85772860050201416016f, -0.44961133599281311035f,0.89322429895401000977f,0.38268342614173889160f, -0.92387950420379638672f,0.31368175148963928223f,0.94952815771102905273f, -0.24298018217086791992f,0.97003126144409179688f,0.17096188664436340332f, -0.98527765274047851562f,0.09801714122295379639f,0.99518471956253051758f, -0.02454122900962829590f,0.99969881772994995117f,-0.04906767606735229492f, -0.99879544973373413086f,-0.12241067737340927124f,0.99247956275939941406f, --0.19509032368659973145f,0.98078525066375732422f,-0.26671275496482849121f, -0.96377605199813842773f,-0.33688986301422119141f,0.94154405593872070312f, --0.40524131059646606445f,0.91420978307723999023f,-0.47139674425125122070f, -0.88192129135131835938f,-0.53499764204025268555f,0.84485357999801635742f, --0.59569931030273437500f,0.80320751667022705078f,-0.65317285060882568359f, -0.75720882415771484375f,-0.70710676908493041992f,0.70710676908493041992f, --0.75720882415771484375f,0.65317285060882568359f,-0.80320751667022705078f, -0.59569931030273437500f,-0.84485357999801635742f,0.53499764204025268555f, --0.88192129135131835938f,0.47139674425125122070f,-0.91420978307723999023f, -0.40524131059646606445f,-0.94154405593872070312f,0.33688986301422119141f, --0.96377605199813842773f,0.26671275496482849121f,-0.98078525066375732422f, -0.19509032368659973145f,-0.99247956275939941406f,0.12241067737340927124f, --0.99879544973373413086f,0.04906767606735229492f,-0.99969881772994995117f, --0.02454122900962829590f,-0.99518471956253051758f,-0.09801714122295379639f, --0.98527765274047851562f,-0.17096188664436340332f,-0.97003126144409179688f, --0.24298018217086791992f,-0.94952815771102905273f,-0.31368175148963928223f, --0.92387950420379638672f,-0.38268342614173889160f,-0.89322429895401000977f, --0.44961133599281311035f,-0.85772860050201416016f,-0.51410275697708129883f, --0.81758481264114379883f,-0.57580816745758056641f,-0.77301043272018432617f, --0.63439327478408813477f,-0.72424709796905517578f,-0.68954056501388549805f, --0.67155897617340087891f,-0.74095112085342407227f,-0.61523157358169555664f, --0.78834640979766845703f,-0.55557024478912353516f,-0.83146959543228149414f, --0.49289819598197937012f,-0.87008696794509887695f,-0.42755508422851562500f, --0.90398931503295898438f,-0.35989505052566528320f,-0.93299281597137451172f, --0.29028466343879699707f,-0.95694035291671752930f,-0.21910123527050018311f, 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-0.92387950420379638672f,-0.70710676908493041992f,0.70710676908493041992f, --0.92387950420379638672f,-0.38268342614173889160f,}; - - - -const uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const float32_t rearranged_twiddle_stride1_4096_f32[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -1.00000000000000000000f,0.00000000000000000000f,0.99999880790710449219f, -0.00153398013208061457f,0.99999529123306274414f,0.00306795677170157433f, -0.99998939037322998047f,0.00460192607715725899f,0.99998116493225097656f, -0.00613588467240333557f,0.99997061491012573242f,0.00766982883214950562f, -0.99995762109756469727f,0.00920375436544418335f,0.99994236230850219727f, 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--0.19509032368659973145f,0.98078525066375732422f,-0.47139674425125122070f, -0.88192129135131835938f,-0.70710676908493041992f,0.70710676908493041992f, --0.88192129135131835938f,0.47139674425125122070f,-0.98078525066375732422f, -0.19509032368659973145f,-0.99518471956253051758f,-0.09801714122295379639f, --0.92387950420379638672f,-0.38268342614173889160f,-0.77301043272018432617f, --0.63439327478408813477f,-0.55557024478912353516f,-0.83146959543228149414f, --0.29028466343879699707f,-0.95694035291671752930f,1.00000000000000000000f, -0.00000000000000000000f,0.38268342614173889160f,0.92387950420379638672f, --0.70710676908493041992f,0.70710676908493041992f,-0.92387950420379638672f, --0.38268342614173889160f,}; - - -#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ - - - -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - - -const uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const q31_t rearranged_twiddle_stride1_16_q31[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, -0x89BE50C3,}; - -const q31_t rearranged_twiddle_stride2_16_q31[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, -0xA57D8666,}; - -const q31_t rearranged_twiddle_stride3_16_q31[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, -0x30FBC54D,}; - - - -const uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const q31_t rearranged_twiddle_stride1_64_q31[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, -0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, -0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, -0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, -0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, -0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; - -const q31_t rearranged_twiddle_stride2_64_q31[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, -0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, -0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, -0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, -0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, -0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; - -const q31_t rearranged_twiddle_stride3_64_q31[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94, -0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0, -0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0, -0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, -0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, -0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; - - - -const uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const q31_t rearranged_twiddle_stride1_256_q31[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4, -0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91, -0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE, -0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8, -0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345, -0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590, -0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4, -0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B, -0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0, -0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376, -0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4, -0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0, -0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32, -0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3, -0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E, -0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E, -0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B, -0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872, -0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40, -0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590, -0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94, -0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3, -0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF, -0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; - -const q31_t rearranged_twiddle_stride2_256_q31[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC, -0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2, -0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6, -0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C, -0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2, -0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C, -0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D, -0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412, -0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C, -0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971, -0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2, -0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F, -0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C, -0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666, -0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C, -0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC, -0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412, -0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2, -0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D, -0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C, -0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4, -0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666, -0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF, -0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; - -const q31_t rearranged_twiddle_stride3_256_q31[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2, -0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC, -0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A, -0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F, -0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928, -0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971, -0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4, -0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB, -0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510, -0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C, -0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC, -0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5, -0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16, -0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D, -0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54, -0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926, -0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E, -0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC, -0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4, -0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971, -0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A, -0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D, -0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF, -0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const q31_t rearranged_twiddle_stride1_1024_q31[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFF6216,0xFF36F078,0x7FFD885A,0xFE6DE2E0,0x7FFA72D1, -0xFDA4D929,0x7FF62182,0xFCDBD541,0x7FF09478,0xFC12D91A,0x7FE9CBC0,0xFB49E6A3, -0x7FE1C76B,0xFA80FFCB,0x7FD8878E,0xF9B82684,0x7FCE0C3E,0xF8EF5CBB,0x7FC25596, -0xF826A462,0x7FB563B3,0xF75DFF66,0x7FA736B4,0xF6956FB7,0x7F97CEBD,0xF5CCF743, -0x7F872BF3,0xF50497FB,0x7F754E80,0xF43C53CB,0x7F62368F,0xF3742CA2,0x7F4DE451, -0xF2AC246E,0x7F3857F6,0xF1E43D1C,0x7F2191B4,0xF11C789A,0x7F0991C4,0xF054D8D5, -0x7EF05860,0xEF8D5FB8,0x7ED5E5C6,0xEEC60F31,0x7EBA3A39,0xEDFEE92B,0x7E9D55FC, -0xED37EF91,0x7E7F3957,0xEC71244F,0x7E5FE493,0xEBAA894F,0x7E3F57FF,0xEAE4207A, -0x7E1D93EA,0xEA1DEBBB,0x7DFA98A8,0xE957ECFB,0x7DD6668F,0xE8922622,0x7DB0FDF8, -0xE7CC9917,0x7D8A5F40,0xE70747C4,0x7D628AC6,0xE642340D,0x7D3980EC,0xE57D5FDA, -0x7D0F4218,0xE4B8CD11,0x7CE3CEB2,0xE3F47D96,0x7CB72724,0xE330734D,0x7C894BDE, -0xE26CB01B,0x7C5A3D50,0xE1A935E2,0x7C29FBEE,0xE0E60685,0x7BF88830,0xE02323E5, -0x7BC5E290,0xDF608FE4,0x7B920B89,0xDE9E4C60,0x7B5D039E,0xDDDC5B3B,0x7B26CB4F, -0xDD1ABE51,0x7AEF6323,0xDC597781,0x7AB6CBA4,0xDB9888A8,0x7A7D055B,0xDAD7F3A2, -0x7A4210D8,0xDA17BA4A,0x7A05EEAD,0xD957DE7A,0x79C89F6E,0xD898620C,0x798A23B1, -0xD7D946D8,0x794A7C12,0xD71A8EB5,0x7909A92D,0xD65C3B7B,0x78C7ABA2,0xD59E4EFF, -0x78848414,0xD4E0CB15,0x78403329,0xD423B191,0x77FAB989,0xD3670446,0x77B417DF, -0xD2AAC504,0x776C4EDB,0xD1EEF59E,0x77235F2D,0xD13397E2,0x76D94989,0xD078AD9E, -0x768E0EA6,0xCFBE389F,0x7641AF3D,0xCF043AB3,0x75F42C0B,0xCE4AB5A2,0x75A585CF, -0xCD91AB39,0x7555BD4C,0xCCD91D3D,0x7504D345,0xCC210D79,0x74B2C884,0xCB697DB0, -0x745F9DD1,0xCAB26FA9,0x740B53FB,0xC9FBE527,0x73B5EBD1,0xC945DFEC,0x735F6626, -0xC89061BA,0x7307C3D0,0xC7DB6C50,0x72AF05A7,0xC727016D,0x72552C85,0xC67322CE, -0x71FA3949,0xC5BFD22E,0x719E2CD2,0xC50D1149,0x71410805,0xC45AE1D7,0x70E2CBC6, -0xC3A94590,0x708378FF,0xC2F83E2A,0x7023109A,0xC247CD5A,0x6FC19385,0xC197F4D4, -0x6F5F02B2,0xC0E8B648,0x6EFB5F12,0xC03A1368,0x6E96A99D,0xBF8C0DE3,0x6E30E34A, -0xBEDEA765,0x6DCA0D14,0xBE31E19B,0x6D6227FA,0xBD85BE30,0x6CF934FC,0xBCDA3ECB, -0x6C8F351C,0xBC2F6513,0x6C242960,0xBB8532B0,0x6BB812D1,0xBADBA943,0x6B4AF279, -0xBA32CA71,0x6ADCC964,0xB98A97D8,0x6A6D98A4,0xB8E31319,0x69FD614A,0xB83C3DD1, -0x698C246C,0xB796199B,0x6919E320,0xB6F0A812,0x68A69E81,0xB64BEACD,0x683257AB, -0xB5A7E362,0x67BD0FBD,0xB5049368,0x6746C7D8,0xB461FC70,0x66CF8120,0xB3C0200C, -0x66573CBB,0xB31EFFCC,0x65DDFBD3,0xB27E9D3C,0x6563BF92,0xB1DEF9E9,0x64E88926, -0xB140175B,0x646C59BF,0xB0A1F71D,0x63EF3290,0xB0049AB3,0x637114CC,0xAF6803A2, -0x62F201AC,0xAECC336C,0x6271FA69,0xAE312B92,0x61F1003F,0xAD96ED92,0x616F146C, -0xACFD7AE8,0x60EC3830,0xAC64D510,0x60686CCF,0xABCCFD83,0x5FE3B38D,0xAB35F5B5, -0x5F5E0DB3,0xAA9FBF1E,0x5ED77C8A,0xAA0A5B2E,0x5E50015D,0xA975CB57,0x5DC79D7C, -0xA8E21106,0x5D3E5237,0xA84F2DAA,0x5CB420E0,0xA7BD22AC,0x5C290ACC,0xA72BF174, -0x5B9D1154,0xA69B9B68,0x5B1035CF,0xA60C21EE,0x5A82799A,0xA57D8666,0x59F3DE12, -0xA4EFCA31,0x59646498,0xA462EEAC,0x58D40E8C,0xA3D6F534,0x5842DD54,0xA34BDF20, -0x57B0D256,0xA2C1ADC9,0x571DEEFA,0xA2386284,0x568A34A9,0xA1AFFEA3,0x55F5A4D2, -0xA1288376,0x556040E2,0xA0A1F24D,0x54CA0A4B,0xA01C4C73,0x5433027D,0x9F979331, -0x539B2AF0,0x9F13C7D0,0x53028518,0x9E90EB94,0x5269126E,0x9E0EFFC1,0x51CED46E, -0x9D8E0597,0x5133CC94,0x9D0DFE54,0x5097FC5E,0x9C8EEB34,0x4FFB654D,0x9C10CD70, -0x4F5E08E3,0x9B93A641,0x4EBFE8A5,0x9B1776DA,0x4E210617,0x9A9C406E,0x4D8162C4, -0x9A22042D,0x4CE10034,0x99A8C345,0x4C3FDFF4,0x99307EE0,0x4B9E0390,0x98B93828, -0x4AFB6C98,0x9842F043,0x4A581C9E,0x97CDA855,0x49B41533,0x9759617F,0x490F57EE, -0x96E61CE0,0x4869E665,0x9673DB94,0x47C3C22F,0x96029EB6,0x471CECE7,0x9592675C, -0x46756828,0x9523369C,0x45CD358F,0x94B50D87,0x452456BD,0x9447ED2F,0x447ACD50, -0x93DBD6A0,0x43D09AED,0x9370CAE4,0x4325C135,0x9306CB04,0x427A41D0,0x929DD806, -0x41CE1E65,0x9235F2EC,0x4121589B,0x91CF1CB6,0x4073F21D,0x91695663,0x3FC5EC98, -0x9104A0EE,0x3F1749B8,0x90A0FD4E,0x3E680B2C,0x903E6C7B,0x3DB832A6,0x8FDCEF66, -0x3D07C1D6,0x8F7C8701,0x3C56BA70,0x8F1D343A,0x3BA51E29,0x8EBEF7FB,0x3AF2EEB7, -0x8E61D32E,0x3A402DD2,0x8E05C6B7,0x398CDD32,0x8DAAD37B,0x38D8FE93,0x8D50FA59, -0x382493B0,0x8CF83C30,0x376F9E46,0x8CA099DA,0x36BA2014,0x8C4A142F,0x36041AD9, -0x8BF4AC05,0x354D9057,0x8BA0622F,0x34968250,0x8B4D377C,0x33DEF287,0x8AFB2CBB, -0x3326E2C3,0x8AAA42B4,0x326E54C7,0x8A5A7A31,0x31B54A5E,0x8A0BD3F5,0x30FBC54D, -0x89BE50C3,0x3041C761,0x8971F15A,0x2F875262,0x8926B677,0x2ECC681E,0x88DCA0D3, -0x2E110A62,0x8893B125,0x2D553AFC,0x884BE821,0x2C98FBBA,0x88054677,0x2BDC4E6F, -0x87BFCCD7,0x2B1F34EB,0x877B7BEC,0x2A61B101,0x8738545E,0x29A3C485,0x86F656D3, -0x28E5714B,0x86B583EE,0x2826B928,0x8675DC4F,0x27679DF4,0x86376092,0x26A82186, -0x85FA1153,0x25E845B6,0x85BDEF28,0x25280C5E,0x8582FAA5,0x24677758,0x8549345C, -0x23A6887F,0x85109CDD,0x22E541AF,0x84D934B1,0x2223A4C5,0x84A2FC62,0x2161B3A0, -0x846DF477,0x209F701C,0x843A1D70,0x1FDCDC1B,0x840777D0,0x1F19F97B,0x83D60412, -0x1E56CA1E,0x83A5C2B0,0x1D934FE5,0x8376B422,0x1CCF8CB3,0x8348D8DC,0x1C0B826A, -0x831C314E,0x1B4732EF,0x82F0BDE8,0x1A82A026,0x82C67F14,0x19BDCBF3,0x829D753A, -0x18F8B83C,0x8275A0C0,0x183366E9,0x824F0208,0x176DD9DE,0x82299971,0x16A81305, -0x82056758,0x15E21445,0x81E26C16,0x151BDF86,0x81C0A801,0x145576B1,0x81A01B6D, -0x138EDBB1,0x8180C6A9,0x12C8106F,0x8162AA04,0x120116D5,0x8145C5C7,0x1139F0CF, -0x812A1A3A,0x1072A048,0x810FA7A0,0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C, -0x0E1BC2E4,0x80C7A80A,0x0D53DB92,0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35, -0x808AB180,0x0AFB6805,0x8078D40D,0x0A3308BD,0x80683143,0x096A9049,0x8058C94C, -0x08A2009A,0x804A9C4D,0x07D95B9E,0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C, -0x80277872,0x057F0035,0x801E3895,0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88, -0x03242ABF,0x8009DE7E,0x025B26D7,0x80058D2F,0x01921D20,0x800277A6,0x00C90F88, -0x80009DEA,0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684, -0x7FA736B4,0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC, -0xED37EF91,0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96, -0x7C29FBEE,0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1, -0xD7D946D8,0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3, -0x7504D345,0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6, -0xC3A94590,0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0, -0x6A6D98A4,0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926, -0xB140175B,0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E, -0x5CB420E0,0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2, -0xA1288376,0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA, -0x4C3FDFF4,0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50, -0x93DBD6A0,0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A, -0x398CDD32,0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D, -0x89BE50C3,0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F, -0x25280C5E,0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A, -0x831C314E,0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04, -0x0FAB272B,0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C, -0x80277872,0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2, -0x7D8A5F40,0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6, -0xC3A94590,0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666, -0x5133CC94,0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D, -0x89BE50C3,0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971, -0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, -0x89BE50C3,}; - -const q31_t rearranged_twiddle_stride2_1024_q31[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFD885A,0xFE6DE2E0,0x7FF62182,0xFCDBD541,0x7FE9CBC0, -0xFB49E6A3,0x7FD8878E,0xF9B82684,0x7FC25596,0xF826A462,0x7FA736B4,0xF6956FB7, -0x7F872BF3,0xF50497FB,0x7F62368F,0xF3742CA2,0x7F3857F6,0xF1E43D1C,0x7F0991C4, -0xF054D8D5,0x7ED5E5C6,0xEEC60F31,0x7E9D55FC,0xED37EF91,0x7E5FE493,0xEBAA894F, -0x7E1D93EA,0xEA1DEBBB,0x7DD6668F,0xE8922622,0x7D8A5F40,0xE70747C4,0x7D3980EC, -0xE57D5FDA,0x7CE3CEB2,0xE3F47D96,0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685, -0x7BC5E290,0xDF608FE4,0x7B5D039E,0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B, -0xDAD7F3A2,0x7A05EEAD,0xD957DE7A,0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B, -0x78848414,0xD4E0CB15,0x77FAB989,0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989, -0xD078AD9E,0x7641AF3D,0xCF043AB3,0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79, -0x745F9DD1,0xCAB26FA9,0x73B5EBD1,0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85, -0xC67322CE,0x719E2CD2,0xC50D1149,0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A, -0x6F5F02B2,0xC0E8B648,0x6E96A99D,0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC, -0xBCDA3ECB,0x6C242960,0xBB8532B0,0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319, -0x698C246C,0xB796199B,0x68A69E81,0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120, -0xB3C0200C,0x65DDFBD3,0xB27E9D3C,0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3, -0x62F201AC,0xAECC336C,0x61F1003F,0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D, -0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E,0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC, -0x5B9D1154,0xA69B9B68,0x5A82799A,0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54, -0xA34BDF20,0x571DEEFA,0xA2386284,0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73, -0x539B2AF0,0x9F13C7D0,0x5269126E,0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D, -0x9C10CD70,0x4EBFE8A5,0x9B1776DA,0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0, -0x4AFB6C98,0x9842F043,0x49B41533,0x9759617F,0x4869E665,0x9673DB94,0x471CECE7, -0x9592675C,0x45CD358F,0x94B50D87,0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04, -0x41CE1E65,0x9235F2EC,0x4073F21D,0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6, -0x8FDCEF66,0x3C56BA70,0x8F1D343A,0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B, -0x382493B0,0x8CF83C30,0x36BA2014,0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287, -0x8AFB2CBB,0x326E54C7,0x8A5A7A31,0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677, -0x2E110A62,0x8893B125,0x2C98FBBA,0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485, -0x86F656D3,0x2826B928,0x8675DC4F,0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5, -0x23A6887F,0x85109CDD,0x2223A4C5,0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B, -0x83D60412,0x1D934FE5,0x8376B422,0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14, -0x18F8B83C,0x8275A0C0,0x176DD9DE,0x82299971,0x15E21445,0x81E26C16,0x145576B1, -0x81A01B6D,0x12C8106F,0x8162AA04,0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C, -0x0E1BC2E4,0x80C7A80A,0x0C8BD35E,0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049, -0x8058C94C,0x07D95B9E,0x803DAA6A,0x0647D97C,0x80277872,0x04B6195D,0x80163440, -0x03242ABF,0x8009DE7E,0x01921D20,0x800277A6,0x00000000,0x80000000,0xFE6DE2E0, -0x800277A6,0xFCDBD541,0x8009DE7E,0xFB49E6A3,0x80163440,0xF9B82684,0x80277872, -0xF826A462,0x803DAA6A,0xF6956FB7,0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2, -0x809DC971,0xF1E43D1C,0x80C7A80A,0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A, -0xED37EF91,0x8162AA04,0xEBAA894F,0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622, -0x82299971,0xE70747C4,0x8275A0C0,0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E, -0xE26CB01B,0x8376B422,0xE0E60685,0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B, -0x84A2FC62,0xDC597781,0x85109CDD,0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153, -0xD7D946D8,0x8675DC4F,0xD65C3B7B,0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446, -0x88054677,0xD1EEF59E,0x8893B125,0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3, -0xCD91AB39,0x8A5A7A31,0xCC210D79,0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC, -0x8C4A142F,0xC7DB6C50,0x8CF83C30,0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E, -0xC3A94590,0x8F1D343A,0xC247CD5A,0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3, -0x91695663,0xBE31E19B,0x9235F2EC,0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0, -0xBA32CA71,0x94B50D87,0xB8E31319,0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD, -0x9759617F,0xB5049368,0x9842F043,0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D, -0xB140175B,0x9B1776DA,0xB0049AB3,0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92, -0x9E0EFFC1,0xAC64D510,0x9F13C7D0,0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376, -0xA8E21106,0xA2386284,0xA7BD22AC,0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666, -0xA57D8666,0xA462EEAC,0xA69B9B68,0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106, -0xA1288376,0xAA0A5B2E,0xA01C4C73,0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1, -0xAD96ED92,0x9D0DFE54,0xAECC336C,0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B, -0x9A22042D,0xB27E9D3C,0x99307EE0,0xB3C0200C,0x9842F043,0xB5049368,0x9759617F, -0xB64BEACD,0x9673DB94,0xB796199B,0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71, -0x93DBD6A0,0xBB8532B0,0x9306CB04,0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663, -0xBF8C0DE3,0x90A0FD4E,0xC0E8B648,0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590, -0x8E61D32E,0xC50D1149,0x8DAAD37B,0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F, -0xC945DFEC,0x8BA0622F,0xCAB26FA9,0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39, -0x89BE50C3,0xCF043AB3,0x8926B677,0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677, -0xD3670446,0x877B7BEC,0xD4E0CB15,0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8, -0x85FA1153,0xD957DE7A,0x8582FAA5,0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62, -0xDDDC5B3B,0x843A1D70,0xDF608FE4,0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B, -0x831C314E,0xE3F47D96,0x82C67F14,0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971, -0xE8922622,0x81E26C16,0xEA1DEBBB,0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91, -0x812A1A3A,0xEEC60F31,0x80F66E3C,0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971, -0xF3742CA2,0x8078D40D,0xF50497FB,0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462, -0x80277872,0xF9B82684,0x80163440,0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6, -0xFE6DE2E0,0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2, -0x7E9D55FC,0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B, -0xDAD7F3A2,0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC, -0x70E2CBC6,0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120, -0xB3C0200C,0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666, -0x55F5A4D2,0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7, -0x9592675C,0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F, -0x30FBC54D,0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B, -0x83D60412,0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971, -0x0647D97C,0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2, -0x809DC971,0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412, -0xDAD7F3A2,0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC, -0x8C4A142F,0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C, -0xB3C0200C,0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666, -0xA57D8666,0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C, -0x9592675C,0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F, -0xC945DFEC,0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2, -0x83D60412,0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971, -0xF3742CA2,0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4, -0x7641AF3D,0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7, -0x9592675C,0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000, -0xE70747C4,0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666, -0xA57D8666,0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4, -0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, -0xA57D8666,}; - -const q31_t rearranged_twiddle_stride3_1024_q31[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFA72D1,0xFDA4D929,0x7FE9CBC0,0xFB49E6A3,0x7FCE0C3E, -0xF8EF5CBB,0x7FA736B4,0xF6956FB7,0x7F754E80,0xF43C53CB,0x7F3857F6,0xF1E43D1C, -0x7EF05860,0xEF8D5FB8,0x7E9D55FC,0xED37EF91,0x7E3F57FF,0xEAE4207A,0x7DD6668F, -0xE8922622,0x7D628AC6,0xE642340D,0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2, -0x7BC5E290,0xDF608FE4,0x7B26CB4F,0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E, -0xD898620C,0x7909A92D,0xD65C3B7B,0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E, -0x768E0EA6,0xCFBE389F,0x75A585CF,0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1, -0xC945DFEC,0x72AF05A7,0xC727016D,0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A, -0x6F5F02B2,0xC0E8B648,0x6E30E34A,0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1, -0xBADBA943,0x6A6D98A4,0xB8E31319,0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368, -0x66573CBB,0xB31EFFCC,0x64E88926,0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F, -0xAD96ED92,0x60686CCF,0xABCCFD83,0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA, -0x5B9D1154,0xA69B9B68,0x59F3DE12,0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9, -0xA1AFFEA3,0x54CA0A4B,0xA01C4C73,0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54, -0x4F5E08E3,0x9B93A641,0x4D8162C4,0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533, -0x9759617F,0x47C3C22F,0x96029EB6,0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4, -0x41CE1E65,0x9235F2EC,0x3FC5EC98,0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29, -0x8EBEF7FB,0x398CDD32,0x8DAAD37B,0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F, -0x3326E2C3,0x8AAA42B4,0x30FBC54D,0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA, -0x88054677,0x2A61B101,0x8738545E,0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28, -0x23A6887F,0x85109CDD,0x2161B3A0,0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3, -0x8348D8DC,0x1A82A026,0x82C67F14,0x183366E9,0x824F0208,0x15E21445,0x81E26C16, -0x138EDBB1,0x8180C6A9,0x1139F0CF,0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E, -0x809DC971,0x0A3308BD,0x80683143,0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895, -0x03242ABF,0x8009DE7E,0x00C90F88,0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A, -0x800F6B88,0xF9B82684,0x80277872,0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D, -0xF2AC246E,0x80B21BAF,0xF054D8D5,0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F, -0x81A01B6D,0xE957ECFB,0x82056758,0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8, -0xE26CB01B,0x8376B422,0xE02323E5,0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8, -0x8549345C,0xD957DE7A,0x85FA1153,0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC, -0xD2AAC504,0x884BE821,0xD078AD9E,0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79, -0x8AFB2CBB,0xC9FBE527,0x8BF4AC05,0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7, -0xC3A94590,0x8F1D343A,0xC197F4D4,0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30, -0x929DD806,0xBB8532B0,0x93DBD6A0,0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94, -0xB5A7E362,0x97CDA855,0xB3C0200C,0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3, -0x9C10CD70,0xAE312B92,0x9D8E0597,0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D, -0xA8E21106,0xA2386284,0xA72BF174,0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534, -0xA72BF174,0xA2386284,0xA8E21106,0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510, -0x9D8E0597,0xAE312B92,0x9C10CD70,0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0, -0xB3C0200C,0x97CDA855,0xB5A7E362,0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8, -0x93DBD6A0,0xBB8532B0,0x929DD806,0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B, -0xC197F4D4,0x8F1D343A,0xC3A94590,0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50, -0x8BF4AC05,0xC9FBE527,0x8AFB2CBB,0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677, -0xD078AD9E,0x884BE821,0xD2AAC504,0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5, -0x85FA1153,0xD957DE7A,0x8549345C,0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0, -0xE02323E5,0x8376B422,0xE26CB01B,0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4, -0x82056758,0xE957ECFB,0x81A01B6D,0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C, -0xF054D8D5,0x80B21BAF,0xF2AC246E,0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66, -0x80277872,0xF9B82684,0x800F6B88,0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA, -0x00C90F88,0x8009DE7E,0x03242ABF,0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E, -0x80683143,0x0A3308BD,0x809DC971,0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A, -0x1139F0CF,0x8180C6A9,0x138EDBB1,0x81E26C16,0x15E21445,0x824F0208,0x183366E9, -0x82C67F14,0x1A82A026,0x8348D8DC,0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477, -0x2161B3A0,0x85109CDD,0x23A6887F,0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928, -0x8738545E,0x2A61B101,0x88054677,0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3, -0x30FBC54D,0x8AAA42B4,0x3326E2C3,0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46, -0x8DAAD37B,0x398CDD32,0x8EBEF7FB,0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE, -0x3FC5EC98,0x9235F2EC,0x41CE1E65,0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F, -0x96029EB6,0x47C3C22F,0x9759617F,0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D, -0x4D8162C4,0x9B93A641,0x4F5E08E3,0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518, -0xA01C4C73,0x54CA0A4B,0xA1AFFEA3,0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31, -0x59F3DE12,0xA69B9B68,0x5B9D1154,0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A, -0xABCCFD83,0x60686CCF,0xAD96ED92,0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B, -0x64E88926,0xB31EFFCC,0x66573CBB,0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320, -0xB8E31319,0x6A6D98A4,0xBADBA943,0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765, -0x6E30E34A,0xC0E8B648,0x6F5F02B2,0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2, -0xC727016D,0x72AF05A7,0xC945DFEC,0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39, -0x75A585CF,0xCFBE389F,0x768E0EA6,0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329, -0xD65C3B7B,0x7909A92D,0xD898620C,0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51, -0x7B26CB4F,0xDF608FE4,0x7BC5E290,0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2, -0xE642340D,0x7D628AC6,0xE8922622,0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91, -0x7E9D55FC,0xEF8D5FB8,0x7EF05860,0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80, -0xF6956FB7,0x7FA736B4,0xF8EF5CBB,0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929, -0x7FFA72D1,0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91, -0x7CE3CEB2,0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1, -0xC945DFEC,0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B, -0x5ED77C8A,0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533, -0x9759617F,0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3, -0x2826B928,0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E, -0x809DC971,0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C, -0xE70747C4,0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79, -0x8AFB2CBB,0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0, -0xAC64D510,0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0, -0xB3C0200C,0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79, -0x877B7BEC,0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C, -0xF054D8D5,0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E, -0x81E26C16,0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3, -0x30FBC54D,0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533, -0x9D0DFE54,0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B, -0x64E88926,0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1, -0xD1EEF59E,0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91, -0x7E9D55FC,0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2, -0x6A6D98A4,0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E, -0x809DC971,0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666, -0x8F1D343A,0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3, -0x30FBC54D,0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B, -0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, -0x30FBC54D,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const q31_t rearranged_twiddle_stride1_4096_q31[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFFF621,0xFFCDBC0B,0x7FFFD886,0xFF9B781D,0x7FFFA72C, -0xFF69343F,0x7FFF6216,0xFF36F078,0x7FFF0943,0xFF04ACD0,0x7FFE9CB2,0xFED2694F, -0x7FFE1C65,0xFEA025FD,0x7FFD885A,0xFE6DE2E0,0x7FFCE093,0xFE3BA002,0x7FFC250F, -0xFE095D69,0x7FFB55CE,0xFDD71B1E,0x7FFA72D1,0xFDA4D929,0x7FF97C18,0xFD729790, -0x7FF871A2,0xFD40565C,0x7FF75370,0xFD0E1594,0x7FF62182,0xFCDBD541,0x7FF4DBD9, -0xFCA9956A,0x7FF38274,0xFC775616,0x7FF21553,0xFC45174E,0x7FF09478,0xFC12D91A, -0x7FEEFFE1,0xFBE09B80,0x7FED5791,0xFBAE5E89,0x7FEB9B85,0xFB7C223D,0x7FE9CBC0, -0xFB49E6A3,0x7FE7E841,0xFB17ABC2,0x7FE5F108,0xFAE571A4,0x7FE3E616,0xFAB3384F, -0x7FE1C76B,0xFA80FFCB,0x7FDF9508,0xFA4EC821,0x7FDD4EEC,0xFA1C9157,0x7FDAF519, -0xF9EA5B75,0x7FD8878E,0xF9B82684,0x7FD6064C,0xF985F28A,0x7FD37153,0xF953BF91, -0x7FD0C8A3,0xF9218D9E,0x7FCE0C3E,0xF8EF5CBB,0x7FCB3C23,0xF8BD2CEF,0x7FC85854, -0xF88AFE42,0x7FC560CF,0xF858D0BB,0x7FC25596,0xF826A462,0x7FBF36AA,0xF7F4793E, -0x7FBC040A,0xF7C24F59,0x7FB8BDB8,0xF79026B9,0x7FB563B3,0xF75DFF66,0x7FB1F5FC, -0xF72BD967,0x7FAE7495,0xF6F9B4C6,0x7FAADF7C,0xF6C79188,0x7FA736B4,0xF6956FB7, -0x7FA37A3C,0xF6634F59,0x7F9FAA15,0xF6313077,0x7F9BC640,0xF5FF1318,0x7F97CEBD, -0xF5CCF743,0x7F93C38C,0xF59ADD02,0x7F8FA4B0,0xF568C45B,0x7F8B7227,0xF536AD56, -0x7F872BF3,0xF50497FB,0x7F82D214,0xF4D28451,0x7F7E648C,0xF4A07261,0x7F79E35A, -0xF46E6231,0x7F754E80,0xF43C53CB,0x7F70A5FE,0xF40A4735,0x7F6BE9D4,0xF3D83C77, -0x7F671A05,0xF3A63398,0x7F62368F,0xF3742CA2,0x7F5D3F75,0xF342279B,0x7F5834B7, -0xF310248A,0x7F531655,0xF2DE2379,0x7F4DE451,0xF2AC246E,0x7F489EAA,0xF27A2771, -0x7F434563,0xF2482C8A,0x7F3DD87C,0xF21633C0,0x7F3857F6,0xF1E43D1C,0x7F32C3D1, -0xF1B248A5,0x7F2D1C0E,0xF1805662,0x7F2760AF,0xF14E665C,0x7F2191B4,0xF11C789A, -0x7F1BAF1E,0xF0EA8D24,0x7F15B8EE,0xF0B8A401,0x7F0FAF25,0xF086BD39,0x7F0991C4, -0xF054D8D5,0x7F0360CB,0xF022F6DA,0x7EFD1C3C,0xEFF11753,0x7EF6C418,0xEFBF3A45, -0x7EF05860,0xEF8D5FB8,0x7EE9D914,0xEF5B87B5,0x7EE34636,0xEF29B243,0x7EDC9FC6, -0xEEF7DF6A,0x7ED5E5C6,0xEEC60F31,0x7ECF1837,0xEE9441A0,0x7EC8371A,0xEE6276BF, -0x7EC14270,0xEE30AE96,0x7EBA3A39,0xEDFEE92B,0x7EB31E78,0xEDCD2687,0x7EABEF2C, -0xED9B66B2,0x7EA4AC58,0xED69A9B3,0x7E9D55FC,0xED37EF91,0x7E95EC1A,0xED063856, -0x7E8E6EB2,0xECD48407,0x7E86DDC6,0xECA2D2AD,0x7E7F3957,0xEC71244F,0x7E778166, -0xEC3F78F6,0x7E6FB5F4,0xEC0DD0A8,0x7E67D703,0xEBDC2B6E,0x7E5FE493,0xEBAA894F, -0x7E57DEA7,0xEB78EA52,0x7E4FC53E,0xEB474E81,0x7E47985B,0xEB15B5E1,0x7E3F57FF, -0xEAE4207A,0x7E37042A,0xEAB28E56,0x7E2E9CDF,0xEA80FF7A,0x7E26221F,0xEA4F73EE, -0x7E1D93EA,0xEA1DEBBB,0x7E14F242,0xE9EC66E8,0x7E0C3D29,0xE9BAE57D,0x7E0374A0, -0xE9896781,0x7DFA98A8,0xE957ECFB,0x7DF1A942,0xE92675F4,0x7DE8A670,0xE8F50273, -0x7DDF9034,0xE8C39280,0x7DD6668F,0xE8922622,0x7DCD2981,0xE860BD61,0x7DC3D90D, -0xE82F5844,0x7DBA7534,0xE7FDF6D4,0x7DB0FDF8,0xE7CC9917,0x7DA77359,0xE79B3F16, -0x7D9DD55A,0xE769E8D8,0x7D9423FC,0xE7389665,0x7D8A5F40,0xE70747C4,0x7D808728, -0xE6D5FCFC,0x7D769BB5,0xE6A4B616,0x7D6C9CE9,0xE6737319,0x7D628AC6,0xE642340D, -0x7D58654D,0xE610F8F9,0x7D4E2C7F,0xE5DFC1E5,0x7D43E05E,0xE5AE8ED8,0x7D3980EC, -0xE57D5FDA,0x7D2F0E2B,0xE54C34F3,0x7D24881B,0xE51B0E2A,0x7D19EEBF,0xE4E9EB87, -0x7D0F4218,0xE4B8CD11,0x7D048228,0xE487B2D0,0x7CF9AEF0,0xE4569CCB,0x7CEEC873, -0xE4258B0A,0x7CE3CEB2,0xE3F47D96,0x7CD8C1AE,0xE3C37474,0x7CCDA169,0xE3926FAD, -0x7CC26DE5,0xE3616F48,0x7CB72724,0xE330734D,0x7CABCD28,0xE2FF7BC3,0x7CA05FF1, -0xE2CE88B3,0x7C94DF83,0xE29D9A23,0x7C894BDE,0xE26CB01B,0x7C7DA505,0xE23BCAA2, -0x7C71EAF9,0xE20AE9C1,0x7C661DBC,0xE1DA0D7E,0x7C5A3D50,0xE1A935E2,0x7C4E49B7, -0xE17862F3,0x7C4242F2,0xE14794BA,0x7C362904,0xE116CB3D,0x7C29FBEE,0xE0E60685, -0x7C1DBBB3,0xE0B54698,0x7C116853,0xE0848B7F,0x7C0501D2,0xE053D541,0x7BF88830, -0xE02323E5,0x7BEBFB70,0xDFF27773,0x7BDF5B94,0xDFC1CFF3,0x7BD2A89E,0xDF912D6B, -0x7BC5E290,0xDF608FE4,0x7BB9096B,0xDF2FF764,0x7BAC1D31,0xDEFF63F4,0x7B9F1DE6, -0xDECED59B,0x7B920B89,0xDE9E4C60,0x7B84E61F,0xDE6DC84B,0x7B77ADA8,0xDE3D4964, -0x7B6A6227,0xDE0CCFB1,0x7B5D039E,0xDDDC5B3B,0x7B4F920E,0xDDABEC08,0x7B420D7A, -0xDD7B8220,0x7B3475E5,0xDD4B1D8C,0x7B26CB4F,0xDD1ABE51,0x7B190DBC,0xDCEA6478, -0x7B0B3D2C,0xDCBA1008,0x7AFD59A4,0xDC89C109,0x7AEF6323,0xDC597781,0x7AE159AE, -0xDC293379,0x7AD33D45,0xDBF8F4F8,0x7AC50DEC,0xDBC8BC06,0x7AB6CBA4,0xDB9888A8, -0x7AA8766F,0xDB685AE9,0x7A9A0E50,0xDB3832CD,0x7A8B9348,0xDB08105E,0x7A7D055B, -0xDAD7F3A2,0x7A6E648A,0xDAA7DCA1,0x7A5FB0D8,0xDA77CB63,0x7A50EA47,0xDA47BFEE, -0x7A4210D8,0xDA17BA4A,0x7A332490,0xD9E7BA7F,0x7A24256F,0xD9B7C094,0x7A151378, -0xD987CC90,0x7A05EEAD,0xD957DE7A,0x79F6B711,0xD927F65B,0x79E76CA7,0xD8F81439, -0x79D80F6F,0xD8C8381D,0x79C89F6E,0xD898620C,0x79B91CA4,0xD868920F,0x79A98715, -0xD838C82D,0x7999DEC4,0xD809046E,0x798A23B1,0xD7D946D8,0x797A55E0,0xD7A98F73, -0x796A7554,0xD779DE47,0x795A820E,0xD74A335B,0x794A7C12,0xD71A8EB5,0x793A6361, -0xD6EAF05F,0x792A37FE,0xD6BB585E,0x7919F9EC,0xD68BC6BA,0x7909A92D,0xD65C3B7B, -0x78F945C3,0xD62CB6A8,0x78E8CFB2,0xD5FD3848,0x78D846FB,0xD5CDC062,0x78C7ABA2, -0xD59E4EFF,0x78B6FDA8,0xD56EE424,0x78A63D11,0xD53F7FDA,0x789569DF,0xD5102228, -0x78848414,0xD4E0CB15,0x78738BB3,0xD4B17AA8,0x786280BF,0xD48230E9,0x7851633B, 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-0xA60C21EE,0x5A82799A,0xA57D8666,0x59F3DE12,0xA4EFCA31,0x59646498,0xA462EEAC, -0x58D40E8C,0xA3D6F534,0x5842DD54,0xA34BDF20,0x57B0D256,0xA2C1ADC9,0x571DEEFA, -0xA2386284,0x568A34A9,0xA1AFFEA3,0x55F5A4D2,0xA1288376,0x556040E2,0xA0A1F24D, -0x54CA0A4B,0xA01C4C73,0x5433027D,0x9F979331,0x539B2AF0,0x9F13C7D0,0x53028518, -0x9E90EB94,0x5269126E,0x9E0EFFC1,0x51CED46E,0x9D8E0597,0x5133CC94,0x9D0DFE54, -0x5097FC5E,0x9C8EEB34,0x4FFB654D,0x9C10CD70,0x4F5E08E3,0x9B93A641,0x4EBFE8A5, -0x9B1776DA,0x4E210617,0x9A9C406E,0x4D8162C4,0x9A22042D,0x4CE10034,0x99A8C345, -0x4C3FDFF4,0x99307EE0,0x4B9E0390,0x98B93828,0x4AFB6C98,0x9842F043,0x4A581C9E, -0x97CDA855,0x49B41533,0x9759617F,0x490F57EE,0x96E61CE0,0x4869E665,0x9673DB94, -0x47C3C22F,0x96029EB6,0x471CECE7,0x9592675C,0x46756828,0x9523369C,0x45CD358F, -0x94B50D87,0x452456BD,0x9447ED2F,0x447ACD50,0x93DBD6A0,0x43D09AED,0x9370CAE4, -0x4325C135,0x9306CB04,0x427A41D0,0x929DD806,0x41CE1E65,0x9235F2EC,0x4121589B, -0x91CF1CB6,0x4073F21D,0x91695663,0x3FC5EC98,0x9104A0EE,0x3F1749B8,0x90A0FD4E, -0x3E680B2C,0x903E6C7B,0x3DB832A6,0x8FDCEF66,0x3D07C1D6,0x8F7C8701,0x3C56BA70, -0x8F1D343A,0x3BA51E29,0x8EBEF7FB,0x3AF2EEB7,0x8E61D32E,0x3A402DD2,0x8E05C6B7, -0x398CDD32,0x8DAAD37B,0x38D8FE93,0x8D50FA59,0x382493B0,0x8CF83C30,0x376F9E46, -0x8CA099DA,0x36BA2014,0x8C4A142F,0x36041AD9,0x8BF4AC05,0x354D9057,0x8BA0622F, -0x34968250,0x8B4D377C,0x33DEF287,0x8AFB2CBB,0x3326E2C3,0x8AAA42B4,0x326E54C7, -0x8A5A7A31,0x31B54A5E,0x8A0BD3F5,0x30FBC54D,0x89BE50C3,0x3041C761,0x8971F15A, -0x2F875262,0x8926B677,0x2ECC681E,0x88DCA0D3,0x2E110A62,0x8893B125,0x2D553AFC, -0x884BE821,0x2C98FBBA,0x88054677,0x2BDC4E6F,0x87BFCCD7,0x2B1F34EB,0x877B7BEC, -0x2A61B101,0x8738545E,0x29A3C485,0x86F656D3,0x28E5714B,0x86B583EE,0x2826B928, -0x8675DC4F,0x27679DF4,0x86376092,0x26A82186,0x85FA1153,0x25E845B6,0x85BDEF28, -0x25280C5E,0x8582FAA5,0x24677758,0x8549345C,0x23A6887F,0x85109CDD,0x22E541AF, -0x84D934B1,0x2223A4C5,0x84A2FC62,0x2161B3A0,0x846DF477,0x209F701C,0x843A1D70, -0x1FDCDC1B,0x840777D0,0x1F19F97B,0x83D60412,0x1E56CA1E,0x83A5C2B0,0x1D934FE5, -0x8376B422,0x1CCF8CB3,0x8348D8DC,0x1C0B826A,0x831C314E,0x1B4732EF,0x82F0BDE8, -0x1A82A026,0x82C67F14,0x19BDCBF3,0x829D753A,0x18F8B83C,0x8275A0C0,0x183366E9, -0x824F0208,0x176DD9DE,0x82299971,0x16A81305,0x82056758,0x15E21445,0x81E26C16, -0x151BDF86,0x81C0A801,0x145576B1,0x81A01B6D,0x138EDBB1,0x8180C6A9,0x12C8106F, -0x8162AA04,0x120116D5,0x8145C5C7,0x1139F0CF,0x812A1A3A,0x1072A048,0x810FA7A0, -0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C,0x0E1BC2E4,0x80C7A80A,0x0D53DB92, -0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35,0x808AB180,0x0AFB6805,0x8078D40D, -0x0A3308BD,0x80683143,0x096A9049,0x8058C94C,0x08A2009A,0x804A9C4D,0x07D95B9E, -0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C,0x80277872,0x057F0035,0x801E3895, -0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88,0x03242ABF,0x8009DE7E,0x025B26D7, -0x80058D2F,0x01921D20,0x800277A6,0x00C90F88,0x80009DEA,0x7FFFFFFF,0x00000000, -0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4,0xF6956FB7,0x7F62368F, -0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91,0x7E1D93EA,0xEA1DEBBB, -0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE,0xE0E60685,0x7B5D039E, -0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8,0x78848414,0xD4E0CB15, -0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345,0xCC210D79,0x73B5EBD1, -0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590,0x6F5F02B2,0xC0E8B648, -0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4,0xB8E31319,0x68A69E81, -0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B,0x62F201AC,0xAECC336C, -0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0,0xA7BD22AC,0x5A82799A, -0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376,0x539B2AF0,0x9F13C7D0, -0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4,0x99307EE0,0x49B41533, -0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0,0x41CE1E65,0x9235F2EC, -0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32,0x8DAAD37B,0x36BA2014, -0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3,0x2E110A62,0x8893B125, -0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E,0x8582FAA5,0x2223A4C5, -0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E,0x18F8B83C,0x8275A0C0, -0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B,0x80F66E3C,0x0C8BD35E, -0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872,0x03242ABF,0x8009DE7E, -0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, -0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, -0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, -0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, -0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, -0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; - -const q31_t rearranged_twiddle_stride2_4096_q31[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFFD886,0xFF9B781D,0x7FFF6216,0xFF36F078,0x7FFE9CB2, -0xFED2694F,0x7FFD885A,0xFE6DE2E0,0x7FFC250F,0xFE095D69,0x7FFA72D1,0xFDA4D929, -0x7FF871A2,0xFD40565C,0x7FF62182,0xFCDBD541,0x7FF38274,0xFC775616,0x7FF09478, -0xFC12D91A,0x7FED5791,0xFBAE5E89,0x7FE9CBC0,0xFB49E6A3,0x7FE5F108,0xFAE571A4, -0x7FE1C76B,0xFA80FFCB,0x7FDD4EEC,0xFA1C9157,0x7FD8878E,0xF9B82684,0x7FD37153, -0xF953BF91,0x7FCE0C3E,0xF8EF5CBB,0x7FC85854,0xF88AFE42,0x7FC25596,0xF826A462, -0x7FBC040A,0xF7C24F59,0x7FB563B3,0xF75DFF66,0x7FAE7495,0xF6F9B4C6,0x7FA736B4, -0xF6956FB7,0x7F9FAA15,0xF6313077,0x7F97CEBD,0xF5CCF743,0x7F8FA4B0,0xF568C45B, -0x7F872BF3,0xF50497FB,0x7F7E648C,0xF4A07261,0x7F754E80,0xF43C53CB,0x7F6BE9D4, -0xF3D83C77,0x7F62368F,0xF3742CA2,0x7F5834B7,0xF310248A,0x7F4DE451,0xF2AC246E, -0x7F434563,0xF2482C8A,0x7F3857F6,0xF1E43D1C,0x7F2D1C0E,0xF1805662,0x7F2191B4, -0xF11C789A,0x7F15B8EE,0xF0B8A401,0x7F0991C4,0xF054D8D5,0x7EFD1C3C,0xEFF11753, -0x7EF05860,0xEF8D5FB8,0x7EE34636,0xEF29B243,0x7ED5E5C6,0xEEC60F31,0x7EC8371A, -0xEE6276BF,0x7EBA3A39,0xEDFEE92B,0x7EABEF2C,0xED9B66B2,0x7E9D55FC,0xED37EF91, -0x7E8E6EB2,0xECD48407,0x7E7F3957,0xEC71244F,0x7E6FB5F4,0xEC0DD0A8,0x7E5FE493, -0xEBAA894F,0x7E4FC53E,0xEB474E81,0x7E3F57FF,0xEAE4207A,0x7E2E9CDF,0xEA80FF7A, -0x7E1D93EA,0xEA1DEBBB,0x7E0C3D29,0xE9BAE57D,0x7DFA98A8,0xE957ECFB,0x7DE8A670, -0xE8F50273,0x7DD6668F,0xE8922622,0x7DC3D90D,0xE82F5844,0x7DB0FDF8,0xE7CC9917, -0x7D9DD55A,0xE769E8D8,0x7D8A5F40,0xE70747C4,0x7D769BB5,0xE6A4B616,0x7D628AC6, -0xE642340D,0x7D4E2C7F,0xE5DFC1E5,0x7D3980EC,0xE57D5FDA,0x7D24881B,0xE51B0E2A, -0x7D0F4218,0xE4B8CD11,0x7CF9AEF0,0xE4569CCB,0x7CE3CEB2,0xE3F47D96,0x7CCDA169, -0xE3926FAD,0x7CB72724,0xE330734D,0x7CA05FF1,0xE2CE88B3,0x7C894BDE,0xE26CB01B, -0x7C71EAF9,0xE20AE9C1,0x7C5A3D50,0xE1A935E2,0x7C4242F2,0xE14794BA,0x7C29FBEE, -0xE0E60685,0x7C116853,0xE0848B7F,0x7BF88830,0xE02323E5,0x7BDF5B94,0xDFC1CFF3, -0x7BC5E290,0xDF608FE4,0x7BAC1D31,0xDEFF63F4,0x7B920B89,0xDE9E4C60,0x7B77ADA8, -0xDE3D4964,0x7B5D039E,0xDDDC5B3B,0x7B420D7A,0xDD7B8220,0x7B26CB4F,0xDD1ABE51, -0x7B0B3D2C,0xDCBA1008,0x7AEF6323,0xDC597781,0x7AD33D45,0xDBF8F4F8,0x7AB6CBA4, -0xDB9888A8,0x7A9A0E50,0xDB3832CD,0x7A7D055B,0xDAD7F3A2,0x7A5FB0D8,0xDA77CB63, -0x7A4210D8,0xDA17BA4A,0x7A24256F,0xD9B7C094,0x7A05EEAD,0xD957DE7A,0x79E76CA7, -0xD8F81439,0x79C89F6E,0xD898620C,0x79A98715,0xD838C82D,0x798A23B1,0xD7D946D8, -0x796A7554,0xD779DE47,0x794A7C12,0xD71A8EB5,0x792A37FE,0xD6BB585E,0x7909A92D, -0xD65C3B7B,0x78E8CFB2,0xD5FD3848,0x78C7ABA2,0xD59E4EFF,0x78A63D11,0xD53F7FDA, -0x78848414,0xD4E0CB15,0x786280BF,0xD48230E9,0x78403329,0xD423B191,0x781D9B65, -0xD3C54D47,0x77FAB989,0xD3670446,0x77D78DAA,0xD308D6C7,0x77B417DF,0xD2AAC504, 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-0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685,0x7BC5E290,0xDF608FE4,0x7B5D039E, -0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B,0xDAD7F3A2,0x7A05EEAD,0xD957DE7A, -0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B,0x78848414,0xD4E0CB15,0x77FAB989, -0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989,0xD078AD9E,0x7641AF3D,0xCF043AB3, -0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79,0x745F9DD1,0xCAB26FA9,0x73B5EBD1, -0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85,0xC67322CE,0x719E2CD2,0xC50D1149, -0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A,0x6F5F02B2,0xC0E8B648,0x6E96A99D, -0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC,0xBCDA3ECB,0x6C242960,0xBB8532B0, -0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319,0x698C246C,0xB796199B,0x68A69E81, -0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120,0xB3C0200C,0x65DDFBD3,0xB27E9D3C, -0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3,0x62F201AC,0xAECC336C,0x61F1003F, -0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D,0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E, -0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC,0x5B9D1154,0xA69B9B68,0x5A82799A, -0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54,0xA34BDF20,0x571DEEFA,0xA2386284, -0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73,0x539B2AF0,0x9F13C7D0,0x5269126E, -0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D,0x9C10CD70,0x4EBFE8A5,0x9B1776DA, -0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0,0x4AFB6C98,0x9842F043,0x49B41533, -0x9759617F,0x4869E665,0x9673DB94,0x471CECE7,0x9592675C,0x45CD358F,0x94B50D87, -0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04,0x41CE1E65,0x9235F2EC,0x4073F21D, -0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6,0x8FDCEF66,0x3C56BA70,0x8F1D343A, -0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B,0x382493B0,0x8CF83C30,0x36BA2014, -0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287,0x8AFB2CBB,0x326E54C7,0x8A5A7A31, -0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677,0x2E110A62,0x8893B125,0x2C98FBBA, -0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485,0x86F656D3,0x2826B928,0x8675DC4F, -0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5,0x23A6887F,0x85109CDD,0x2223A4C5, -0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B,0x83D60412,0x1D934FE5,0x8376B422, -0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14,0x18F8B83C,0x8275A0C0,0x176DD9DE, -0x82299971,0x15E21445,0x81E26C16,0x145576B1,0x81A01B6D,0x12C8106F,0x8162AA04, -0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C,0x0E1BC2E4,0x80C7A80A,0x0C8BD35E, -0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049,0x8058C94C,0x07D95B9E,0x803DAA6A, -0x0647D97C,0x80277872,0x04B6195D,0x80163440,0x03242ABF,0x8009DE7E,0x01921D20, -0x800277A6,0x00000000,0x80000000,0xFE6DE2E0,0x800277A6,0xFCDBD541,0x8009DE7E, -0xFB49E6A3,0x80163440,0xF9B82684,0x80277872,0xF826A462,0x803DAA6A,0xF6956FB7, -0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2,0x809DC971,0xF1E43D1C,0x80C7A80A, -0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A,0xED37EF91,0x8162AA04,0xEBAA894F, -0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622,0x82299971,0xE70747C4,0x8275A0C0, -0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E,0xE26CB01B,0x8376B422,0xE0E60685, -0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B,0x84A2FC62,0xDC597781,0x85109CDD, -0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153,0xD7D946D8,0x8675DC4F,0xD65C3B7B, -0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446,0x88054677,0xD1EEF59E,0x8893B125, -0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3,0xCD91AB39,0x8A5A7A31,0xCC210D79, -0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC,0x8C4A142F,0xC7DB6C50,0x8CF83C30, -0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E,0xC3A94590,0x8F1D343A,0xC247CD5A, -0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3,0x91695663,0xBE31E19B,0x9235F2EC, -0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0,0xBA32CA71,0x94B50D87,0xB8E31319, -0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD,0x9759617F,0xB5049368,0x9842F043, -0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D,0xB140175B,0x9B1776DA,0xB0049AB3, -0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92,0x9E0EFFC1,0xAC64D510,0x9F13C7D0, -0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376,0xA8E21106,0xA2386284,0xA7BD22AC, -0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666,0xA57D8666,0xA462EEAC,0xA69B9B68, -0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106,0xA1288376,0xAA0A5B2E,0xA01C4C73, -0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1,0xAD96ED92,0x9D0DFE54,0xAECC336C, -0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B,0x9A22042D,0xB27E9D3C,0x99307EE0, -0xB3C0200C,0x9842F043,0xB5049368,0x9759617F,0xB64BEACD,0x9673DB94,0xB796199B, -0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71,0x93DBD6A0,0xBB8532B0,0x9306CB04, -0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663,0xBF8C0DE3,0x90A0FD4E,0xC0E8B648, -0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590,0x8E61D32E,0xC50D1149,0x8DAAD37B, -0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F,0xC945DFEC,0x8BA0622F,0xCAB26FA9, -0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39,0x89BE50C3,0xCF043AB3,0x8926B677, -0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677,0xD3670446,0x877B7BEC,0xD4E0CB15, -0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8,0x85FA1153,0xD957DE7A,0x8582FAA5, -0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62,0xDDDC5B3B,0x843A1D70,0xDF608FE4, -0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B,0x831C314E,0xE3F47D96,0x82C67F14, -0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971,0xE8922622,0x81E26C16,0xEA1DEBBB, -0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91,0x812A1A3A,0xEEC60F31,0x80F66E3C, -0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971,0xF3742CA2,0x8078D40D,0xF50497FB, -0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462,0x80277872,0xF9B82684,0x80163440, -0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6,0xFE6DE2E0,0x7FFFFFFF,0x00000000, -0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC,0xED37EF91,0x7D8A5F40, -0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2,0x78848414,0xD4E0CB15, -0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6,0xC3A94590,0x6DCA0D14, -0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C,0x62F201AC,0xAECC336C, -0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2,0xA1288376,0x5133CC94, -0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C,0x41CE1E65,0x9235F2EC, -0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D,0x89BE50C3,0x2B1F34EB, -0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412,0x18F8B83C,0x8275A0C0, -0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C,0x80277872,0x00000000, -0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971,0xED37EF91,0x8162AA04, -0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2,0x8582FAA5,0xD4E0CB15, -0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F,0xC3A94590,0x8F1D343A, -0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C,0x99307EE0,0xAECC336C, -0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666,0xA1288376,0xAA0A5B2E, -0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C,0xB8E31319,0x9235F2EC, -0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC,0x89BE50C3,0xCF043AB3, -0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412,0xE0E60685,0x8275A0C0, -0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2,0x80277872,0xF9B82684, -0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, -0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, -0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, -0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, -0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, -0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; - -const q31_t rearranged_twiddle_stride3_4096_q31[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFFFFFF,0x00000000,0x7FFFA72C,0xFF69343F,0x7FFE9CB2,0xFED2694F,0x7FFCE093, -0xFE3BA002,0x7FFA72D1,0xFDA4D929,0x7FF75370,0xFD0E1594,0x7FF38274,0xFC775616, -0x7FEEFFE1,0xFBE09B80,0x7FE9CBC0,0xFB49E6A3,0x7FE3E616,0xFAB3384F,0x7FDD4EEC, 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-0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, -0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, -0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; - - -#endif /* defined(ARM_MATH_MVEI) */ - - - -#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) - - -const uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2] ARM_DSP_TABLE_ATTRIBUTE ={ -0,0,}; - -const q15_t rearranged_twiddle_stride1_16_q15[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; - -const q15_t rearranged_twiddle_stride2_16_q15[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; - -const q15_t rearranged_twiddle_stride3_16_q15[8] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3] ARM_DSP_TABLE_ATTRIBUTE ={ -0,32,0,}; - -const q15_t rearranged_twiddle_stride1_64_q15[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3, -0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592, -0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF, -0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; - -const q15_t rearranged_twiddle_stride2_64_q15[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D, -0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE, -0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF, -0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; - -const q15_t rearranged_twiddle_stride3_64_q15[40] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C, -0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707, -0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF, -0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4] ARM_DSP_TABLE_ATTRIBUTE ={ -0,128,160,0,}; - -const q15_t rearranged_twiddle_stride1_256_q15[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9,0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A, -0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E,0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6, -0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A,0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642, -0xCF04,0x7505,0xCC21,0x73B6,0xC946,0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9, -0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E,0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9, -0xB140,0x62F2,0xAECC,0x60EC,0xAC65,0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E, -0x5843,0xA34C,0x55F6,0xA129,0x539B,0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40, -0x9930,0x49B4,0x9759,0x471D,0x9592,0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1, -0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA,0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11, -0x8894,0x2B1F,0x877B,0x2827,0x8676,0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6, -0x1C0C,0x831C,0x18F9,0x8276,0x15E2,0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C, -0x809E,0x096B,0x8059,0x0648,0x8027,0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374, -0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2, -0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE, -0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82, -0xA57E,0x30FC,0x89BE,}; - -const q15_t rearranged_twiddle_stride2_256_q15[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62,0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A, -0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1,0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9, -0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0,0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82, -0xA57E,0x55F6,0xA129,0x5134,0x9D0E,0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236, -0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC,0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A, -0x83D6,0x18F9,0x8276,0x12C8,0x8163,0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000, -0xF9B8,0x8027,0xF374,0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8, -0x8583,0xD4E1,0x877B,0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236, -0xB8E3,0x9592,0xB3C0,0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129, -0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9, -0x8C4A,0xC946,0x89BE,0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276, -0xE707,0x8163,0xED38,0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707, -0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9, -0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E, -0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000, -0x8000,0xA57E,0xA57E,}; - -const q15_t rearranged_twiddle_stride3_256_q15[168] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C, -0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A, -0x5843,0xA34C,0x5134,0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC, -0x89BE,0x2827,0x8676,0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A, -0xF9B8,0x8027,0xF055,0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21, -0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E, -0x9F14,0xAC65,0x9930,0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B, -0xD4E1,0x84A3,0xDDDC,0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324, -0x809E,0x0C8C,0x81E2,0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB, -0x398D,0x9236,0x41CE,0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7, -0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8, -0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8, -0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9, -0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC, -0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E, -0xA57E,0x89BE,0x30FC,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5] ARM_DSP_TABLE_ATTRIBUTE ={ -0,512,640,672,0,}; - -const q15_t rearranged_twiddle_stride1_1024_q15[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFF,0xFF37,0x7FFE,0xFE6E,0x7FFA,0xFDA5,0x7FF6,0xFCDC,0x7FF1, -0xFC13,0x7FEA,0xFB4A,0x7FE2,0xFA81,0x7FD9,0xF9B8,0x7FCE,0xF8EF,0x7FC2,0xF827, -0x7FB5,0xF75E,0x7FA7,0xF695,0x7F98,0xF5CD,0x7F87,0xF505,0x7F75,0xF43C,0x7F62, -0xF374,0x7F4E,0xF2AC,0x7F38,0xF1E4,0x7F22,0xF11C,0x7F0A,0xF055,0x7EF0,0xEF8D, -0x7ED6,0xEEC6,0x7EBA,0xEDFF,0x7E9D,0xED38,0x7E7F,0xEC71,0x7E60,0xEBAB,0x7E3F, -0xEAE4,0x7E1E,0xEA1E,0x7DFB,0xE958,0x7DD6,0xE892,0x7DB1,0xE7CD,0x7D8A,0xE707, -0x7D63,0xE642,0x7D3A,0xE57D,0x7D0F,0xE4B9,0x7CE4,0xE3F4,0x7CB7,0xE330,0x7C89, -0xE26D,0x7C5A,0xE1A9,0x7C2A,0xE0E6,0x7BF9,0xE023,0x7BC6,0xDF61,0x7B92,0xDE9E, -0x7B5D,0xDDDC,0x7B27,0xDD1B,0x7AEF,0xDC59,0x7AB7,0xDB99,0x7A7D,0xDAD8,0x7A42, -0xDA18,0x7A06,0xD958,0x79C9,0xD898,0x798A,0xD7D9,0x794A,0xD71B,0x790A,0xD65C, -0x78C8,0xD59E,0x7885,0xD4E1,0x7840,0xD424,0x77FB,0xD367,0x77B4,0xD2AB,0x776C, -0xD1EF,0x7723,0xD134,0x76D9,0xD079,0x768E,0xCFBE,0x7642,0xCF04,0x75F4,0xCE4B, -0x75A6,0xCD92,0x7556,0xCCD9,0x7505,0xCC21,0x74B3,0xCB69,0x7460,0xCAB2,0x740B, -0xC9FC,0x73B6,0xC946,0x735F,0xC890,0x7308,0xC7DB,0x72AF,0xC727,0x7255,0xC673, -0x71FA,0xC5C0,0x719E,0xC50D,0x7141,0xC45B,0x70E3,0xC3A9,0x7083,0xC2F8,0x7023, -0xC248,0x6FC2,0xC198,0x6F5F,0xC0E9,0x6EFB,0xC03A,0x6E97,0xBF8C,0x6E31,0xBEDF, -0x6DCA,0xBE32,0x6D62,0xBD86,0x6CF9,0xBCDA,0x6C8F,0xBC2F,0x6C24,0xBB85,0x6BB8, -0xBADC,0x6B4B,0xBA33,0x6ADD,0xB98B,0x6A6E,0xB8E3,0x69FD,0xB83C,0x698C,0xB796, -0x691A,0xB6F1,0x68A7,0xB64C,0x6832,0xB5A8,0x67BD,0xB505,0x6747,0xB462,0x66D0, -0xB3C0,0x6657,0xB31F,0x65DE,0xB27F,0x6564,0xB1DF,0x64E9,0xB140,0x646C,0xB0A2, -0x63EF,0xB005,0x6371,0xAF68,0x62F2,0xAECC,0x6272,0xAE31,0x61F1,0xAD97,0x616F, -0xACFD,0x60EC,0xAC65,0x6068,0xABCD,0x5FE4,0xAB36,0x5F5E,0xAAA0,0x5ED7,0xAA0A, -0x5E50,0xA976,0x5DC8,0xA8E2,0x5D3E,0xA84F,0x5CB4,0xA7BD,0x5C29,0xA72C,0x5B9D, -0xA69C,0x5B10,0xA60C,0x5A82,0xA57E,0x59F4,0xA4F0,0x5964,0xA463,0x58D4,0xA3D7, -0x5843,0xA34C,0x57B1,0xA2C2,0x571E,0xA238,0x568A,0xA1B0,0x55F6,0xA129,0x5560, -0xA0A2,0x54CA,0xA01C,0x5433,0x9F98,0x539B,0x9F14,0x5303,0x9E91,0x5269,0x9E0F, -0x51CF,0x9D8E,0x5134,0x9D0E,0x5098,0x9C8F,0x4FFB,0x9C11,0x4F5E,0x9B94,0x4EC0, -0x9B17,0x4E21,0x9A9C,0x4D81,0x9A22,0x4CE1,0x99A9,0x4C40,0x9930,0x4B9E,0x98B9, -0x4AFB,0x9843,0x4A58,0x97CE,0x49B4,0x9759,0x490F,0x96E6,0x486A,0x9674,0x47C4, -0x9603,0x471D,0x9592,0x4675,0x9523,0x45CD,0x94B5,0x4524,0x9448,0x447B,0x93DC, -0x43D1,0x9371,0x4326,0x9307,0x427A,0x929E,0x41CE,0x9236,0x4121,0x91CF,0x4074, -0x9169,0x3FC6,0x9105,0x3F17,0x90A1,0x3E68,0x903E,0x3DB8,0x8FDD,0x3D08,0x8F7D, -0x3C57,0x8F1D,0x3BA5,0x8EBF,0x3AF3,0x8E62,0x3A40,0x8E06,0x398D,0x8DAB,0x38D9, -0x8D51,0x3825,0x8CF8,0x3770,0x8CA1,0x36BA,0x8C4A,0x3604,0x8BF5,0x354E,0x8BA0, -0x3497,0x8B4D,0x33DF,0x8AFB,0x3327,0x8AAA,0x326E,0x8A5A,0x31B5,0x8A0C,0x30FC, -0x89BE,0x3042,0x8972,0x2F87,0x8927,0x2ECC,0x88DD,0x2E11,0x8894,0x2D55,0x884C, -0x2C99,0x8805,0x2BDC,0x87C0,0x2B1F,0x877B,0x2A62,0x8738,0x29A4,0x86F6,0x28E5, -0x86B6,0x2827,0x8676,0x2768,0x8637,0x26A8,0x85FA,0x25E8,0x85BE,0x2528,0x8583, -0x2467,0x8549,0x23A7,0x8511,0x22E5,0x84D9,0x2224,0x84A3,0x2162,0x846E,0x209F, -0x843A,0x1FDD,0x8407,0x1F1A,0x83D6,0x1E57,0x83A6,0x1D93,0x8377,0x1CD0,0x8349, -0x1C0C,0x831C,0x1B47,0x82F1,0x1A83,0x82C6,0x19BE,0x829D,0x18F9,0x8276,0x1833, -0x824F,0x176E,0x822A,0x16A8,0x8205,0x15E2,0x81E2,0x151C,0x81C1,0x1455,0x81A0, -0x138F,0x8181,0x12C8,0x8163,0x1201,0x8146,0x113A,0x812A,0x1073,0x8110,0x0FAB, -0x80F6,0x0EE4,0x80DE,0x0E1C,0x80C8,0x0D54,0x80B2,0x0C8C,0x809E,0x0BC4,0x808B, -0x0AFB,0x8079,0x0A33,0x8068,0x096B,0x8059,0x08A2,0x804B,0x07D9,0x803E,0x0711, -0x8032,0x0648,0x8027,0x057F,0x801E,0x04B6,0x8016,0x03ED,0x800F,0x0324,0x800A, -0x025B,0x8006,0x0192,0x8002,0x00C9,0x8001,0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9, -0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E, -0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A, -0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,0xCF04,0x7505,0xCC21,0x73B6,0xC946, -0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E, -0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,0xB140,0x62F2,0xAECC,0x60EC,0xAC65, -0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,0x5843,0xA34C,0x55F6,0xA129,0x539B, -0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,0x9930,0x49B4,0x9759,0x471D,0x9592, -0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA, -0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,0x8894,0x2B1F,0x877B,0x2827,0x8676, -0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,0x1C0C,0x831C,0x18F9,0x8276,0x15E2, -0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,0x809E,0x096B,0x8059,0x0648,0x8027, -0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642, -0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E, -0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C, -0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; - -const q15_t rearranged_twiddle_stride2_1024_q15[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFE,0xFE6E,0x7FF6,0xFCDC,0x7FEA,0xFB4A,0x7FD9,0xF9B8,0x7FC2, -0xF827,0x7FA7,0xF695,0x7F87,0xF505,0x7F62,0xF374,0x7F38,0xF1E4,0x7F0A,0xF055, -0x7ED6,0xEEC6,0x7E9D,0xED38,0x7E60,0xEBAB,0x7E1E,0xEA1E,0x7DD6,0xE892,0x7D8A, -0xE707,0x7D3A,0xE57D,0x7CE4,0xE3F4,0x7C89,0xE26D,0x7C2A,0xE0E6,0x7BC6,0xDF61, -0x7B5D,0xDDDC,0x7AEF,0xDC59,0x7A7D,0xDAD8,0x7A06,0xD958,0x798A,0xD7D9,0x790A, -0xD65C,0x7885,0xD4E1,0x77FB,0xD367,0x776C,0xD1EF,0x76D9,0xD079,0x7642,0xCF04, -0x75A6,0xCD92,0x7505,0xCC21,0x7460,0xCAB2,0x73B6,0xC946,0x7308,0xC7DB,0x7255, -0xC673,0x719E,0xC50D,0x70E3,0xC3A9,0x7023,0xC248,0x6F5F,0xC0E9,0x6E97,0xBF8C, -0x6DCA,0xBE32,0x6CF9,0xBCDA,0x6C24,0xBB85,0x6B4B,0xBA33,0x6A6E,0xB8E3,0x698C, -0xB796,0x68A7,0xB64C,0x67BD,0xB505,0x66D0,0xB3C0,0x65DE,0xB27F,0x64E9,0xB140, -0x63EF,0xB005,0x62F2,0xAECC,0x61F1,0xAD97,0x60EC,0xAC65,0x5FE4,0xAB36,0x5ED7, -0xAA0A,0x5DC8,0xA8E2,0x5CB4,0xA7BD,0x5B9D,0xA69C,0x5A82,0xA57E,0x5964,0xA463, -0x5843,0xA34C,0x571E,0xA238,0x55F6,0xA129,0x54CA,0xA01C,0x539B,0x9F14,0x5269, -0x9E0F,0x5134,0x9D0E,0x4FFB,0x9C11,0x4EC0,0x9B17,0x4D81,0x9A22,0x4C40,0x9930, -0x4AFB,0x9843,0x49B4,0x9759,0x486A,0x9674,0x471D,0x9592,0x45CD,0x94B5,0x447B, -0x93DC,0x4326,0x9307,0x41CE,0x9236,0x4074,0x9169,0x3F17,0x90A1,0x3DB8,0x8FDD, -0x3C57,0x8F1D,0x3AF3,0x8E62,0x398D,0x8DAB,0x3825,0x8CF8,0x36BA,0x8C4A,0x354E, -0x8BA0,0x33DF,0x8AFB,0x326E,0x8A5A,0x30FC,0x89BE,0x2F87,0x8927,0x2E11,0x8894, -0x2C99,0x8805,0x2B1F,0x877B,0x29A4,0x86F6,0x2827,0x8676,0x26A8,0x85FA,0x2528, -0x8583,0x23A7,0x8511,0x2224,0x84A3,0x209F,0x843A,0x1F1A,0x83D6,0x1D93,0x8377, -0x1C0C,0x831C,0x1A83,0x82C6,0x18F9,0x8276,0x176E,0x822A,0x15E2,0x81E2,0x1455, -0x81A0,0x12C8,0x8163,0x113A,0x812A,0x0FAB,0x80F6,0x0E1C,0x80C8,0x0C8C,0x809E, -0x0AFB,0x8079,0x096B,0x8059,0x07D9,0x803E,0x0648,0x8027,0x04B6,0x8016,0x0324, -0x800A,0x0192,0x8002,0x0000,0x8000,0xFE6E,0x8002,0xFCDC,0x800A,0xFB4A,0x8016, -0xF9B8,0x8027,0xF827,0x803E,0xF695,0x8059,0xF505,0x8079,0xF374,0x809E,0xF1E4, -0x80C8,0xF055,0x80F6,0xEEC6,0x812A,0xED38,0x8163,0xEBAB,0x81A0,0xEA1E,0x81E2, -0xE892,0x822A,0xE707,0x8276,0xE57D,0x82C6,0xE3F4,0x831C,0xE26D,0x8377,0xE0E6, -0x83D6,0xDF61,0x843A,0xDDDC,0x84A3,0xDC59,0x8511,0xDAD8,0x8583,0xD958,0x85FA, -0xD7D9,0x8676,0xD65C,0x86F6,0xD4E1,0x877B,0xD367,0x8805,0xD1EF,0x8894,0xD079, -0x8927,0xCF04,0x89BE,0xCD92,0x8A5A,0xCC21,0x8AFB,0xCAB2,0x8BA0,0xC946,0x8C4A, -0xC7DB,0x8CF8,0xC673,0x8DAB,0xC50D,0x8E62,0xC3A9,0x8F1D,0xC248,0x8FDD,0xC0E9, -0x90A1,0xBF8C,0x9169,0xBE32,0x9236,0xBCDA,0x9307,0xBB85,0x93DC,0xBA33,0x94B5, -0xB8E3,0x9592,0xB796,0x9674,0xB64C,0x9759,0xB505,0x9843,0xB3C0,0x9930,0xB27F, -0x9A22,0xB140,0x9B17,0xB005,0x9C11,0xAECC,0x9D0E,0xAD97,0x9E0F,0xAC65,0x9F14, -0xAB36,0xA01C,0xAA0A,0xA129,0xA8E2,0xA238,0xA7BD,0xA34C,0xA69C,0xA463,0xA57E, -0xA57E,0xA463,0xA69C,0xA34C,0xA7BD,0xA238,0xA8E2,0xA129,0xAA0A,0xA01C,0xAB36, -0x9F14,0xAC65,0x9E0F,0xAD97,0x9D0E,0xAECC,0x9C11,0xB005,0x9B17,0xB140,0x9A22, -0xB27F,0x9930,0xB3C0,0x9843,0xB505,0x9759,0xB64C,0x9674,0xB796,0x9592,0xB8E3, -0x94B5,0xBA33,0x93DC,0xBB85,0x9307,0xBCDA,0x9236,0xBE32,0x9169,0xBF8C,0x90A1, -0xC0E9,0x8FDD,0xC248,0x8F1D,0xC3A9,0x8E62,0xC50D,0x8DAB,0xC673,0x8CF8,0xC7DB, -0x8C4A,0xC946,0x8BA0,0xCAB2,0x8AFB,0xCC21,0x8A5A,0xCD92,0x89BE,0xCF04,0x8927, -0xD079,0x8894,0xD1EF,0x8805,0xD367,0x877B,0xD4E1,0x86F6,0xD65C,0x8676,0xD7D9, -0x85FA,0xD958,0x8583,0xDAD8,0x8511,0xDC59,0x84A3,0xDDDC,0x843A,0xDF61,0x83D6, -0xE0E6,0x8377,0xE26D,0x831C,0xE3F4,0x82C6,0xE57D,0x8276,0xE707,0x822A,0xE892, -0x81E2,0xEA1E,0x81A0,0xEBAB,0x8163,0xED38,0x812A,0xEEC6,0x80F6,0xF055,0x80C8, -0xF1E4,0x809E,0xF374,0x8079,0xF505,0x8059,0xF695,0x803E,0xF827,0x8027,0xF9B8, -0x8016,0xFB4A,0x800A,0xFCDC,0x8002,0xFE6E,0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62, -0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1, -0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0, -0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,0xA57E,0x55F6,0xA129,0x5134,0x9D0E, -0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC, -0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,0x83D6,0x18F9,0x8276,0x12C8,0x8163, -0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,0xF9B8,0x8027,0xF374,0x809E,0xED38, -0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B,0xCF04,0x89BE, -0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0,0x9930,0xAECC, -0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0, -0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE,0xCF04,0x877B, -0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38,0x809E,0xF374, -0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82, -0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276, -0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276, -0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; - -const q15_t rearranged_twiddle_stride3_1024_q15[680] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFA,0xFDA5,0x7FEA,0xFB4A,0x7FCE,0xF8EF,0x7FA7,0xF695,0x7F75, -0xF43C,0x7F38,0xF1E4,0x7EF0,0xEF8D,0x7E9D,0xED38,0x7E3F,0xEAE4,0x7DD6,0xE892, -0x7D63,0xE642,0x7CE4,0xE3F4,0x7C5A,0xE1A9,0x7BC6,0xDF61,0x7B27,0xDD1B,0x7A7D, -0xDAD8,0x79C9,0xD898,0x790A,0xD65C,0x7840,0xD424,0x776C,0xD1EF,0x768E,0xCFBE, -0x75A6,0xCD92,0x74B3,0xCB69,0x73B6,0xC946,0x72AF,0xC727,0x719E,0xC50D,0x7083, -0xC2F8,0x6F5F,0xC0E9,0x6E31,0xBEDF,0x6CF9,0xBCDA,0x6BB8,0xBADC,0x6A6E,0xB8E3, -0x691A,0xB6F1,0x67BD,0xB505,0x6657,0xB31F,0x64E9,0xB140,0x6371,0xAF68,0x61F1, -0xAD97,0x6068,0xABCD,0x5ED7,0xAA0A,0x5D3E,0xA84F,0x5B9D,0xA69C,0x59F4,0xA4F0, -0x5843,0xA34C,0x568A,0xA1B0,0x54CA,0xA01C,0x5303,0x9E91,0x5134,0x9D0E,0x4F5E, -0x9B94,0x4D81,0x9A22,0x4B9E,0x98B9,0x49B4,0x9759,0x47C4,0x9603,0x45CD,0x94B5, -0x43D1,0x9371,0x41CE,0x9236,0x3FC6,0x9105,0x3DB8,0x8FDD,0x3BA5,0x8EBF,0x398D, -0x8DAB,0x3770,0x8CA1,0x354E,0x8BA0,0x3327,0x8AAA,0x30FC,0x89BE,0x2ECC,0x88DD, -0x2C99,0x8805,0x2A62,0x8738,0x2827,0x8676,0x25E8,0x85BE,0x23A7,0x8511,0x2162, -0x846E,0x1F1A,0x83D6,0x1CD0,0x8349,0x1A83,0x82C6,0x1833,0x824F,0x15E2,0x81E2, -0x138F,0x8181,0x113A,0x812A,0x0EE4,0x80DE,0x0C8C,0x809E,0x0A33,0x8068,0x07D9, -0x803E,0x057F,0x801E,0x0324,0x800A,0x00C9,0x8001,0xFE6E,0x8002,0xFC13,0x800F, -0xF9B8,0x8027,0xF75E,0x804B,0xF505,0x8079,0xF2AC,0x80B2,0xF055,0x80F6,0xEDFF, -0x8146,0xEBAB,0x81A0,0xE958,0x8205,0xE707,0x8276,0xE4B9,0x82F1,0xE26D,0x8377, -0xE023,0x8407,0xDDDC,0x84A3,0xDB99,0x8549,0xD958,0x85FA,0xD71B,0x86B6,0xD4E1, -0x877B,0xD2AB,0x884C,0xD079,0x8927,0xCE4B,0x8A0C,0xCC21,0x8AFB,0xC9FC,0x8BF5, -0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C,0x9169,0xBD86, -0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE,0xB3C0,0x9930, -0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0,0xA0A2,0xA8E2, -0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2,0xA0A2,0xAAA0, -0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930,0xB3C0,0x97CE, -0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86,0x9169,0xBF8C, -0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5,0xC9FC,0x8AFB, -0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1,0x86B6,0xD71B, -0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377,0xE26D,0x82F1, -0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF,0x80F6,0xF055, -0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F,0xFC13,0x8002, -0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9,0x8068,0x0A33, -0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2,0x15E2,0x824F, -0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162,0x8511,0x23A7, -0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD,0x2ECC,0x89BE, -0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D,0x8EBF,0x3BA5, -0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5,0x45CD,0x9603, -0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E,0x9D0E,0x5134, -0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0,0x59F4,0xA69C, -0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1,0xAF68,0x6371, -0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3,0x6A6E,0xBADC, -0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083,0xC50D,0x719E, -0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE,0x768E,0xD1EF, -0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D,0xDD1B,0x7B27, -0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892,0x7DD6,0xEAE4, -0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75,0xF695,0x7FA7, -0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D, -0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9, -0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134,0x9D0E,0x49B4, -0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676,0x1F1A,0x83D6, -0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055,0x80F6,0xE707, -0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC, -0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930,0xB3C0,0x93DC, -0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC,0x8276,0xE707, -0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2,0x15E2,0x83D6, -0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE,0x9759,0x49B4, -0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9, -0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D, -0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC, -0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9, -0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8, -0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; - - -const uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6] ARM_DSP_TABLE_ATTRIBUTE ={ -0,2048,2560,2688,2720,0,}; - -const q15_t rearranged_twiddle_stride1_4096_q15[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFF,0xFFCE,0x7FFF,0xFF9B,0x7FFF,0xFF69,0x7FFF,0xFF37,0x7FFF, -0xFF05,0x7FFF,0xFED2,0x7FFE,0xFEA0,0x7FFE,0xFE6E,0x7FFD,0xFE3C,0x7FFC,0xFE09, -0x7FFB,0xFDD7,0x7FFA,0xFDA5,0x7FF9,0xFD73,0x7FF8,0xFD40,0x7FF7,0xFD0E,0x7FF6, -0xFCDC,0x7FF5,0xFCAA,0x7FF4,0xFC77,0x7FF2,0xFC45,0x7FF1,0xFC13,0x7FEF,0xFBE1, -0x7FED,0xFBAE,0x7FEC,0xFB7C,0x7FEA,0xFB4A,0x7FE8,0xFB18,0x7FE6,0xFAE5,0x7FE4, -0xFAB3,0x7FE2,0xFA81,0x7FE0,0xFA4F,0x7FDD,0xFA1D,0x7FDB,0xF9EA,0x7FD9,0xF9B8, -0x7FD6,0xF986,0x7FD3,0xF954,0x7FD1,0xF922,0x7FCE,0xF8EF,0x7FCB,0xF8BD,0x7FC8, -0xF88B,0x7FC5,0xF859,0x7FC2,0xF827,0x7FBF,0xF7F4,0x7FBC,0xF7C2,0x7FB9,0xF790, -0x7FB5,0xF75E,0x7FB2,0xF72C,0x7FAE,0xF6FA,0x7FAB,0xF6C8,0x7FA7,0xF695,0x7FA3, -0xF663,0x7FA0,0xF631,0x7F9C,0xF5FF,0x7F98,0xF5CD,0x7F94,0xF59B,0x7F90,0xF569, -0x7F8B,0xF537,0x7F87,0xF505,0x7F83,0xF4D3,0x7F7E,0xF4A0,0x7F7A,0xF46E,0x7F75, -0xF43C,0x7F71,0xF40A,0x7F6C,0xF3D8,0x7F67,0xF3A6,0x7F62,0xF374,0x7F5D,0xF342, -0x7F58,0xF310,0x7F53,0xF2DE,0x7F4E,0xF2AC,0x7F49,0xF27A,0x7F43,0xF248,0x7F3E, -0xF216,0x7F38,0xF1E4,0x7F33,0xF1B2,0x7F2D,0xF180,0x7F27,0xF14E,0x7F22,0xF11C, -0x7F1C,0xF0EB,0x7F16,0xF0B9,0x7F10,0xF087,0x7F0A,0xF055,0x7F03,0xF023,0x7EFD, -0xEFF1,0x7EF7,0xEFBF,0x7EF0,0xEF8D,0x7EEA,0xEF5C,0x7EE3,0xEF2A,0x7EDD,0xEEF8, -0x7ED6,0xEEC6,0x7ECF,0xEE94,0x7EC8,0xEE62,0x7EC1,0xEE31,0x7EBA,0xEDFF,0x7EB3, -0xEDCD,0x7EAC,0xED9B,0x7EA5,0xED6A,0x7E9D,0xED38,0x7E96,0xED06,0x7E8E,0xECD5, -0x7E87,0xECA3,0x7E7F,0xEC71,0x7E78,0xEC3F,0x7E70,0xEC0E,0x7E68,0xEBDC,0x7E60, -0xEBAB,0x7E58,0xEB79,0x7E50,0xEB47,0x7E48,0xEB16,0x7E3F,0xEAE4,0x7E37,0xEAB3, -0x7E2F,0xEA81,0x7E26,0xEA4F,0x7E1E,0xEA1E,0x7E15,0xE9EC,0x7E0C,0xE9BB,0x7E03, -0xE989,0x7DFB,0xE958,0x7DF2,0xE926,0x7DE9,0xE8F5,0x7DE0,0xE8C4,0x7DD6,0xE892, -0x7DCD,0xE861,0x7DC4,0xE82F,0x7DBA,0xE7FE,0x7DB1,0xE7CD,0x7DA7,0xE79B,0x7D9E, -0xE76A,0x7D94,0xE739,0x7D8A,0xE707,0x7D81,0xE6D6,0x7D77,0xE6A5,0x7D6D,0xE673, -0x7D63,0xE642,0x7D58,0xE611,0x7D4E,0xE5E0,0x7D44,0xE5AF,0x7D3A,0xE57D,0x7D2F, -0xE54C,0x7D25,0xE51B,0x7D1A,0xE4EA,0x7D0F,0xE4B9,0x7D05,0xE488,0x7CFA,0xE457, -0x7CEF,0xE426,0x7CE4,0xE3F4,0x7CD9,0xE3C3,0x7CCE,0xE392,0x7CC2,0xE361,0x7CB7, -0xE330,0x7CAC,0xE2FF,0x7CA0,0xE2CF,0x7C95,0xE29E,0x7C89,0xE26D,0x7C7E,0xE23C, -0x7C72,0xE20B,0x7C66,0xE1DA,0x7C5A,0xE1A9,0x7C4E,0xE178,0x7C42,0xE148,0x7C36, -0xE117,0x7C2A,0xE0E6,0x7C1E,0xE0B5,0x7C11,0xE085,0x7C05,0xE054,0x7BF9,0xE023, -0x7BEC,0xDFF2,0x7BDF,0xDFC2,0x7BD3,0xDF91,0x7BC6,0xDF61,0x7BB9,0xDF30,0x7BAC, -0xDEFF,0x7B9F,0xDECF,0x7B92,0xDE9E,0x7B85,0xDE6E,0x7B78,0xDE3D,0x7B6A,0xDE0D, 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rearranged_twiddle_stride2_4096_q15[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFF,0xFF9B,0x7FFF,0xFF37,0x7FFF,0xFED2,0x7FFE,0xFE6E,0x7FFC, -0xFE09,0x7FFA,0xFDA5,0x7FF8,0xFD40,0x7FF6,0xFCDC,0x7FF4,0xFC77,0x7FF1,0xFC13, -0x7FED,0xFBAE,0x7FEA,0xFB4A,0x7FE6,0xFAE5,0x7FE2,0xFA81,0x7FDD,0xFA1D,0x7FD9, -0xF9B8,0x7FD3,0xF954,0x7FCE,0xF8EF,0x7FC8,0xF88B,0x7FC2,0xF827,0x7FBC,0xF7C2, -0x7FB5,0xF75E,0x7FAE,0xF6FA,0x7FA7,0xF695,0x7FA0,0xF631,0x7F98,0xF5CD,0x7F90, -0xF569,0x7F87,0xF505,0x7F7E,0xF4A0,0x7F75,0xF43C,0x7F6C,0xF3D8,0x7F62,0xF374, -0x7F58,0xF310,0x7F4E,0xF2AC,0x7F43,0xF248,0x7F38,0xF1E4,0x7F2D,0xF180,0x7F22, -0xF11C,0x7F16,0xF0B9,0x7F0A,0xF055,0x7EFD,0xEFF1,0x7EF0,0xEF8D,0x7EE3,0xEF2A, -0x7ED6,0xEEC6,0x7EC8,0xEE62,0x7EBA,0xEDFF,0x7EAC,0xED9B,0x7E9D,0xED38,0x7E8E, -0xECD5,0x7E7F,0xEC71,0x7E70,0xEC0E,0x7E60,0xEBAB,0x7E50,0xEB47,0x7E3F,0xEAE4, -0x7E2F,0xEA81,0x7E1E,0xEA1E,0x7E0C,0xE9BB,0x7DFB,0xE958,0x7DE9,0xE8F5,0x7DD6, 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-0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B, -0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0, -0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC, -0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE, -0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38, -0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E, -0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000, -0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE, -0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; - -const q15_t rearranged_twiddle_stride3_4096_q15[2728] ARM_DSP_TABLE_ATTRIBUTE ={ -0x7FFF,0x0000,0x7FFF,0xFF69,0x7FFF,0xFED2,0x7FFD,0xFE3C,0x7FFA,0xFDA5,0x7FF7, -0xFD0E,0x7FF4,0xFC77,0x7FEF,0xFBE1,0x7FEA,0xFB4A,0x7FE4,0xFAB3,0x7FDD,0xFA1D, -0x7FD6,0xF986,0x7FCE,0xF8EF,0x7FC5,0xF859,0x7FBC,0xF7C2,0x7FB2,0xF72C,0x7FA7, -0xF695,0x7F9C,0xF5FF,0x7F90,0xF569,0x7F83,0xF4D3,0x7F75,0xF43C,0x7F67,0xF3A6, -0x7F58,0xF310,0x7F49,0xF27A,0x7F38,0xF1E4,0x7F27,0xF14E,0x7F16,0xF0B9,0x7F03, -0xF023,0x7EF0,0xEF8D,0x7EDD,0xEEF8,0x7EC8,0xEE62,0x7EB3,0xEDCD,0x7E9D,0xED38, -0x7E87,0xECA3,0x7E70,0xEC0E,0x7E58,0xEB79,0x7E3F,0xEAE4,0x7E26,0xEA4F,0x7E0C, -0xE9BB,0x7DF2,0xE926,0x7DD6,0xE892,0x7DBA,0xE7FE,0x7D9E,0xE76A,0x7D81,0xE6D6, -0x7D63,0xE642,0x7D44,0xE5AF,0x7D25,0xE51B,0x7D05,0xE488,0x7CE4,0xE3F4,0x7CC2, -0xE361,0x7CA0,0xE2CF,0x7C7E,0xE23C,0x7C5A,0xE1A9,0x7C36,0xE117,0x7C11,0xE085, -0x7BEC,0xDFF2,0x7BC6,0xDF61,0x7B9F,0xDECF,0x7B78,0xDE3D,0x7B50,0xDDAC,0x7B27, -0xDD1B,0x7AFD,0xDC8A,0x7AD3,0xDBF9,0x7AA8,0xDB68,0x7A7D,0xDAD8,0x7A51,0xDA48, -0x7A24,0xD9B8,0x79F7,0xD928,0x79C9,0xD898,0x799A,0xD809,0x796A,0xD77A,0x793A, -0xD6EB,0x790A,0xD65C,0x78D8,0xD5CE,0x78A6,0xD53F,0x7874,0xD4B1,0x7840,0xD424, -0x780C,0xD396,0x77D8,0xD309,0x77A2,0xD27C,0x776C,0xD1EF,0x7736,0xD162,0x76FE, -0xD0D6,0x76C7,0xD04A,0x768E,0xCFBE,0x7655,0xCF33,0x761B,0xCEA7,0x75E1,0xCE1C, -0x75A6,0xCD92,0x756A,0xCD07,0x752D,0xCC7D,0x74F0,0xCBF3,0x74B3,0xCB69,0x7475, -0xCAE0,0x7436,0xCA57,0x73F6,0xC9CE,0x73B6,0xC946,0x7375,0xC8BE,0x7334,0xC836, -0x72F2,0xC7AE,0x72AF,0xC727,0x726C,0xC6A0,0x7228,0xC619,0x71E3,0xC593,0x719E, -0xC50D,0x7158,0xC487,0x7112,0xC402,0x70CB,0xC37D,0x7083,0xC2F8,0x703B,0xC274, -0x6FF2,0xC1F0,0x6FA9,0xC16C,0x6F5F,0xC0E9,0x6F14,0xC066,0x6EC9,0xBFE3,0x6E7D, -0xBF61,0x6E31,0xBEDF,0x6DE4,0xBE5D,0x6D96,0xBDDC,0x6D48,0xBD5B,0x6CF9,0xBCDA, -0x6CAA,0xBC5A,0x6C5A,0xBBDA,0x6C09,0xBB5B,0x6BB8,0xBADC,0x6B66,0xBA5D,0x6B14, -0xB9DF,0x6AC1,0xB961,0x6A6E,0xB8E3,0x6A1A,0xB866,0x69C5,0xB7E9,0x6970,0xB76D, -0x691A,0xB6F1,0x68C4,0xB675,0x686D,0xB5FA,0x6815,0xB57F,0x67BD,0xB505,0x6764, -0xB48B,0x670B,0xB411,0x66B2,0xB398,0x6657,0xB31F,0x65FC,0xB2A7,0x65A1,0xB22F, -0x6545,0xB1B7,0x64E9,0xB140,0x648B,0xB0C9,0x642E,0xB053,0x63D0,0xAFDD,0x6371, -0xAF68,0x6312,0xAEF3,0x62B2,0xAE7F,0x6252,0xAE0B,0x61F1,0xAD97,0x6190,0xAD24, -0x612E,0xACB1,0x60CB,0xAC3F,0x6068,0xABCD,0x6005,0xAB5C,0x5FA1,0xAAEB,0x5F3C, -0xAA7A,0x5ED7,0xAA0A,0x5E72,0xA99B,0x5E0C,0xA92C,0x5DA5,0xA8BD,0x5D3E,0xA84F, -0x5CD7,0xA7E2,0x5C6F,0xA774,0x5C06,0xA708,0x5B9D,0xA69C,0x5B34,0xA630,0x5AC9, -0xA5C5,0x5A5F,0xA55A,0x59F4,0xA4F0,0x5988,0xA486,0x591C,0xA41D,0x58B0,0xA3B4, -0x5843,0xA34C,0x57D5,0xA2E4,0x5767,0xA27D,0x56F9,0xA216,0x568A,0xA1B0,0x561B, -0xA14A,0x55AB,0xA0E5,0x553B,0xA080,0x54CA,0xA01C,0x5459,0x9FB9,0x53E7,0x9F56, -0x5375,0x9EF3,0x5303,0x9E91,0x5290,0x9E2F,0x521C,0x9DCE,0x51A8,0x9D6E,0x5134, -0x9D0E,0x50BF,0x9CAF,0x504A,0x9C50,0x4FD4,0x9BF1,0x4F5E,0x9B94,0x4EE8,0x9B36, -0x4E71,0x9ADA,0x4DF9,0x9A7E,0x4D81,0x9A22,0x4D09,0x99C7,0x4C91,0x996D,0x4C17, -0x9913,0x4B9E,0x98B9,0x4B24,0x9860,0x4AAA,0x9808,0x4A2F,0x97B0,0x49B4,0x9759, -0x4939,0x9703,0x48BD,0x96AD,0x4840,0x9657,0x47C4,0x9603,0x4747,0x95AE,0x46C9, -0x955B,0x464B,0x9508,0x45CD,0x94B5,0x454F,0x9463,0x44D0,0x9412,0x4450,0x93C1, -0x43D1,0x9371,0x4351,0x9321,0x42D0,0x92D2,0x424F,0x9284,0x41CE,0x9236,0x414D, -0x91E9,0x40CB,0x919C,0x4048,0x9150,0x3FC6,0x9105,0x3F43,0x90BA,0x3EC0,0x9070, -0x3E3C,0x9026,0x3DB8,0x8FDD,0x3D34,0x8F95,0x3CAF,0x8F4D,0x3C2A,0x8F06,0x3BA5, -0x8EBF,0x3B20,0x8E79,0x3A9A,0x8E34,0x3A13,0x8DEF,0x398D,0x8DAB,0x3906,0x8D67, -0x387F,0x8D24,0x37F7,0x8CE2,0x3770,0x8CA1,0x36E8,0x8C60,0x365F,0x8C1F,0x35D7, -0x8BDF,0x354E,0x8BA0,0x34C4,0x8B62,0x343B,0x8B24,0x33B1,0x8AE7,0x3327,0x8AAA, -0x329D,0x8A6E,0x3212,0x8A33,0x3187,0x89F8,0x30FC,0x89BE,0x3070,0x8985,0x2FE5, -0x894C,0x2F59,0x8914,0x2ECC,0x88DD,0x2E40,0x88A6,0x2DB3,0x8870,0x2D26,0x883A, -0x2C99,0x8805,0x2C0C,0x87D1,0x2B7E,0x879D,0x2AF0,0x876B,0x2A62,0x8738,0x29D3, -0x8707,0x2945,0x86D6,0x28B6,0x86A5,0x2827,0x8676,0x2797,0x8647,0x2708,0x8619, -0x2678,0x85EB,0x25E8,0x85BE,0x2558,0x8592,0x24C8,0x8566,0x2437,0x853B,0x23A7, -0x8511,0x2316,0x84E7,0x2284,0x84BE,0x21F3,0x8496,0x2162,0x846E,0x20D0,0x8447, -0x203E,0x8421,0x1FAC,0x83FB,0x1F1A,0x83D6,0x1E88,0x83B2,0x1DF5,0x838E,0x1D62, -0x836B,0x1CD0,0x8349,0x1C3D,0x8327,0x1BA9,0x8306,0x1B16,0x82E6,0x1A83,0x82C6, -0x19EF,0x82A8,0x195B,0x8289,0x18C7,0x826C,0x1833,0x824F,0x179F,0x8233,0x170B, -0x8217,0x1677,0x81FD,0x15E2,0x81E2,0x154D,0x81C9,0x14B9,0x81B0,0x1424,0x8198, -0x138F,0x8181,0x12FA,0x816A,0x1265,0x8154,0x11CF,0x813F,0x113A,0x812A,0x10A4, -0x8116,0x100F,0x8103,0x0F79,0x80F0,0x0EE4,0x80DE,0x0E4E,0x80CD,0x0DB8,0x80BD, -0x0D22,0x80AD,0x0C8C,0x809E,0x0BF6,0x808F,0x0B60,0x8082,0x0AC9,0x8075,0x0A33, -0x8068,0x099D,0x805D,0x0906,0x8052,0x0870,0x8047,0x07D9,0x803E,0x0743,0x8035, -0x06AC,0x802D,0x0616,0x8025,0x057F,0x801E,0x04E8,0x8018,0x0452,0x8013,0x03BB, -0x800E,0x0324,0x800A,0x028D,0x8007,0x01F7,0x8004,0x0160,0x8002,0x00C9,0x8001, -0x0032,0x8000,0xFF9B,0x8000,0xFF05,0x8001,0xFE6E,0x8002,0xFDD7,0x8005,0xFD40, -0x8008,0xFCAA,0x800B,0xFC13,0x800F,0xFB7C,0x8014,0xFAE5,0x801A,0xFA4F,0x8020, -0xF9B8,0x8027,0xF922,0x802F,0xF88B,0x8038,0xF7F4,0x8041,0xF75E,0x804B,0xF6C8, -0x8055,0xF631,0x8060,0xF59B,0x806C,0xF505,0x8079,0xF46E,0x8086,0xF3D8,0x8094, -0xF342,0x80A3,0xF2AC,0x80B2,0xF216,0x80C2,0xF180,0x80D3,0xF0EB,0x80E4,0xF055, -0x80F6,0xEFBF,0x8109,0xEF2A,0x811D,0xEE94,0x8131,0xEDFF,0x8146,0xED6A,0x815B, -0xECD5,0x8172,0xEC3F,0x8188,0xEBAB,0x81A0,0xEB16,0x81B8,0xEA81,0x81D1,0xE9EC, -0x81EB,0xE958,0x8205,0xE8C4,0x8220,0xE82F,0x823C,0xE79B,0x8259,0xE707,0x8276, -0xE673,0x8293,0xE5E0,0x82B2,0xE54C,0x82D1,0xE4B9,0x82F1,0xE426,0x8311,0xE392, -0x8332,0xE2FF,0x8354,0xE26D,0x8377,0xE1DA,0x839A,0xE148,0x83BE,0xE0B5,0x83E2, -0xE023,0x8407,0xDF91,0x842D,0xDEFF,0x8454,0xDE6E,0x847B,0xDDDC,0x84A3,0xDD4B, -0x84CC,0xDCBA,0x84F5,0xDC29,0x851F,0xDB99,0x8549,0xDB08,0x8574,0xDA78,0x85A0, 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-0xC9FC,0x8BF5,0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C, -0x9169,0xBD86,0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE, -0xB3C0,0x9930,0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0, -0xA0A2,0xA8E2,0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2, -0xA0A2,0xAAA0,0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930, -0xB3C0,0x97CE,0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86, -0x9169,0xBF8C,0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5, -0xC9FC,0x8AFB,0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1, -0x86B6,0xD71B,0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377, -0xE26D,0x82F1,0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF, -0x80F6,0xF055,0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F, -0xFC13,0x8002,0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9, -0x8068,0x0A33,0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2, -0x15E2,0x824F,0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162, -0x8511,0x23A7,0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD, -0x2ECC,0x89BE,0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D, -0x8EBF,0x3BA5,0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5, -0x45CD,0x9603,0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E, -0x9D0E,0x5134,0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0, -0x59F4,0xA69C,0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1, -0xAF68,0x6371,0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3, -0x6A6E,0xBADC,0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083, -0xC50D,0x719E,0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE, -0x768E,0xD1EF,0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D, -0xDD1B,0x7B27,0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892, -0x7DD6,0xEAE4,0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75, -0xF695,0x7FA7,0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7, -0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946, -0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134, -0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676, -0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055, -0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D, -0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930, -0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC, -0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2, -0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE, -0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3, -0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4, -0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134, -0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E, -0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3, -0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; - - -#endif /* defined(ARM_MATH_MVEI) */ - diff --git a/third_party/cmsis-dsp/Source/TransformFunctions/arm_bitreversal2.c b/third_party/cmsis-dsp/Source/TransformFunctions/arm_bitreversal2.c deleted file mode 100644 index fe63e97..0000000 --- a/third_party/cmsis-dsp/Source/TransformFunctions/arm_bitreversal2.c +++ /dev/null @@ -1,148 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_bitreversal2.c - * Description: Bitreversal functions - * - * $Date: 23 April 2021 - * $Revision: V1.9.0 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ -/* - * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#include "dsp/transform_functions.h" -#include "arm_common_tables.h" - -void arm_bitreversal_64( - uint64_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab); - - -/** - @brief In-place 64 bit reversal function. - @param[in,out] pSrc points to in-place buffer of unknown 64-bit data type - @param[in] bitRevLen bit reversal table length - @param[in] pBitRevTab points to bit reversal table -*/ - -ARM_DSP_ATTRIBUTE void arm_bitreversal_64( - uint64_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab) -{ - uint64_t a, b, tmp; - uint32_t i; - - for (i = 0; i < bitRevLen; ) - { - a = pBitRevTab[i ] >> 2; - b = pBitRevTab[i + 1] >> 2; - - //real - tmp = pSrc[a]; - pSrc[a] = pSrc[b]; - pSrc[b] = tmp; - - //complex - tmp = pSrc[a+1]; - pSrc[a+1] = pSrc[b+1]; - pSrc[b+1] = tmp; - - i += 2; - } -} - -void arm_bitreversal_32( - uint32_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab); - -/** - @brief In-place 32 bit reversal function. - @param[in,out] pSrc points to in-place buffer of unknown 32-bit data type - @param[in] bitRevLen bit reversal table length - @param[in] pBitRevTab points to bit reversal table -*/ - -ARM_DSP_ATTRIBUTE void arm_bitreversal_32( - uint32_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab) -{ - uint32_t a, b, i, tmp; - - for (i = 0; i < bitRevLen; ) - { - a = pBitRevTab[i ] >> 2; - b = pBitRevTab[i + 1] >> 2; - - //real - tmp = pSrc[a]; - pSrc[a] = pSrc[b]; - pSrc[b] = tmp; - - //complex - tmp = pSrc[a+1]; - pSrc[a+1] = pSrc[b+1]; - pSrc[b+1] = tmp; - - i += 2; - } -} - -void arm_bitreversal_16( - uint16_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab); - - -/** - @brief In-place 16 bit reversal function. - @param[in,out] pSrc points to in-place buffer of unknown 16-bit data type - @param[in] bitRevLen bit reversal table length - @param[in] pBitRevTab points to bit reversal table -*/ - -ARM_DSP_ATTRIBUTE void arm_bitreversal_16( - uint16_t *pSrc, - const uint16_t bitRevLen, - const uint16_t *pBitRevTab) -{ - uint16_t a, b, tmp; - uint32_t i; - - for (i = 0; i < bitRevLen; ) - { - a = pBitRevTab[i ] >> 2; - b = pBitRevTab[i + 1] >> 2; - - //real - tmp = pSrc[a]; - pSrc[a] = pSrc[b]; - pSrc[b] = tmp; - - //complex - tmp = pSrc[a+1]; - pSrc[a+1] = pSrc[b+1]; - pSrc[b+1] = tmp; - - i += 2; - } -} diff --git a/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_f32.c b/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_f32.c deleted file mode 100755 index 8c81d38..0000000 --- a/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_f32.c +++ /dev/null @@ -1,1306 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_cfft_f32.c - * Description: Combined Radix Decimation in Frequency CFFT Floating point processing function - * - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ - -/* - * Copyright (C) 2010-2024 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ -#include "arm_compiler_specific.h" - - -#include "dsp/transform_functions.h" -#include "arm_common_tables.h" - -//#include - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - -#include "arm_helium_utils.h" -#include "arm_vec_fft.h" -#include "arm_mve_tables.h" - - -static float32_t arm_inverse_fft_length_f32(uint16_t fftLen) -{ - float32_t retValue=1.0; - - switch (fftLen) - { - - case 4096U: - retValue = 0.000244140625; - break; - - case 2048U: - retValue = 0.00048828125; - break; - - case 1024U: - retValue = 0.0009765625f; - break; - - case 512U: - retValue = 0.001953125; - break; - - case 256U: - retValue = 0.00390625f; - break; - - case 128U: - retValue = 0.0078125; - break; - - case 64U: - retValue = 0.015625f; - break; - - case 32U: - retValue = 0.03125; - break; - - case 16U: - retValue = 0.0625f; - break; - - - default: - break; - } - return(retValue); -} - - - - -static void _arm_radix4_butterfly_f32_mve(const arm_cfft_instance_f32 * S,float32_t * pSrc, uint32_t fftLen) -{ - f32x4_t vecTmp0, vecTmp1; - f32x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; - f32x4_t vecA, vecB, vecC, vecD; - uint32_t blkCnt; - uint32_t n1, n2; - uint32_t stage = 0; - int32_t iter = 1; - static const int32_t strides[4] = { - (0 - 16) * (int32_t)sizeof(q31_t *), - (1 - 16) * (int32_t)sizeof(q31_t *), - (8 - 16) * (int32_t)sizeof(q31_t *), - (9 - 16) * (int32_t)sizeof(q31_t *) - }; - - n2 = fftLen; - n1 = n2; - n2 >>= 2u; - for (int k = fftLen / 4u; k > 1; k >>= 2) - { - float32_t const *p_rearranged_twiddle_tab_stride1 = - &S->rearranged_twiddle_stride1[ - S->rearranged_twiddle_tab_stride1_arr[stage]]; - float32_t const *p_rearranged_twiddle_tab_stride2 = - &S->rearranged_twiddle_stride2[ - S->rearranged_twiddle_tab_stride2_arr[stage]]; - float32_t const *p_rearranged_twiddle_tab_stride3 = - &S->rearranged_twiddle_stride3[ - S->rearranged_twiddle_tab_stride3_arr[stage]]; - - float32_t * pBase = pSrc; - for (int i = 0; i < iter; i++) - { - float32_t *inA = pBase; - float32_t *inB = inA + n2 * CMPLX_DIM; - float32_t *inC = inB + n2 * CMPLX_DIM; - float32_t *inD = inC + n2 * CMPLX_DIM; - float32_t const *pW1 = p_rearranged_twiddle_tab_stride1; - float32_t const *pW2 = p_rearranged_twiddle_tab_stride2; - float32_t const *pW3 = p_rearranged_twiddle_tab_stride3; - f32x4_t vecW; - - blkCnt = n2 / 2; - /* - * load 2 f32 complex pair - */ - vecA = vldrwq_f32(inA); - vecC = vldrwq_f32(inC); - while (blkCnt > 0U) - { - vecB = vldrwq_f32(inB); - vecD = vldrwq_f32(inD); - - vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ - vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ - - vecSum1 = vecB + vecD; - vecDiff1 = vecB - vecD; - /* - * [ 1 1 1 1 ] * [ A B C D ]' .* 1 - */ - vecTmp0 = vecSum0 + vecSum1; - vst1q(inA, vecTmp0); - inA += 4; - - /* - * [ 1 -1 1 -1 ] * [ A B C D ]' - */ - vecTmp0 = vecSum0 - vecSum1; - /* - * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 - */ - vecW = vld1q(pW2); - pW2 += 4; - vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); - vst1q(inB, vecTmp1); - inB += 4; - - /* - * [ 1 -i -1 +i ] * [ A B C D ]' - */ - vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); - /* - * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 - */ - vecW = vld1q(pW1); - pW1 +=4; - vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); - vst1q(inC, vecTmp1); - inC += 4; - - /* - * [ 1 +i -1 -i ] * [ A B C D ]' - */ - vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); - /* - * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 - */ - vecW = vld1q(pW3); - pW3 += 4; - vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); - vst1q(inD, vecTmp1); - inD += 4; - - vecA = vldrwq_f32(inA); - vecC = vldrwq_f32(inC); - - blkCnt--; - } - pBase += CMPLX_DIM * n1; - } - n1 = n2; - n2 >>= 2u; - iter = iter << 2; - stage++; - } - - /* - * start of Last stage process - */ - uint32x4_t vecScGathAddr = vld1q_u32((uint32_t*)strides); - vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; - - /* load scheduling */ - vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); - vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); - - blkCnt = (fftLen >> 3); - while (blkCnt > 0U) - { - vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ - vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ - - vecB = vldrwq_gather_base_f32(vecScGathAddr, 8); - vecD = vldrwq_gather_base_f32(vecScGathAddr, 24); - - vecSum1 = vecB + vecD; - vecDiff1 = vecB - vecD; - - /* pre-load for next iteration */ - vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); - vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); - - vecTmp0 = vecSum0 + vecSum1; - vstrwq_scatter_base_f32(vecScGathAddr, -64, vecTmp0); - - vecTmp0 = vecSum0 - vecSum1; - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 8, vecTmp0); - - vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 16, vecTmp0); - - vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 24, vecTmp0); - - blkCnt--; - } - - /* - * End of last stage process - */ -} - -static void arm_cfft_radix4by2_f32_mve(const arm_cfft_instance_f32 * S, float32_t *pSrc, uint32_t fftLen) -{ - float32_t const *pCoefVec; - float32_t const *pCoef = S->pTwiddle; - float32_t *pIn0, *pIn1; - uint32_t n2; - uint32_t blkCnt; - f32x4_t vecIn0, vecIn1, vecSum, vecDiff; - f32x4_t vecCmplxTmp, vecTw; - - - n2 = fftLen >> 1; - pIn0 = pSrc; - pIn1 = pSrc + fftLen; - pCoefVec = pCoef; - - blkCnt = n2 / 2; - while (blkCnt > 0U) - { - vecIn0 = *(f32x4_t *) pIn0; - vecIn1 = *(f32x4_t *) pIn1; - vecTw = vld1q(pCoefVec); - pCoefVec += 4; - - vecSum = vecIn0 + vecIn1; - vecDiff = vecIn0 - vecIn1; - - vecCmplxTmp = MVE_CMPLX_MULT_FLT_Conj_AxB(vecTw, vecDiff); - - vst1q(pIn0, vecSum); - pIn0 += 4; - vst1q(pIn1, vecCmplxTmp); - pIn1 += 4; - - blkCnt--; - } - - _arm_radix4_butterfly_f32_mve(S, pSrc, n2); - - _arm_radix4_butterfly_f32_mve(S, pSrc + fftLen, n2); - - pIn0 = pSrc; -} - -static void _arm_radix4_butterfly_inverse_f32_mve(const arm_cfft_instance_f32 * S,float32_t * pSrc, uint32_t fftLen, float32_t onebyfftLen) -{ - f32x4_t vecTmp0, vecTmp1; - f32x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; - f32x4_t vecA, vecB, vecC, vecD; - uint32_t blkCnt; - uint32_t n1, n2; - uint32_t stage = 0; - int32_t iter = 1; - static const int32_t strides[4] = { - (0 - 16) * (int32_t)sizeof(q31_t *), - (1 - 16) * (int32_t)sizeof(q31_t *), - (8 - 16) * (int32_t)sizeof(q31_t *), - (9 - 16) * (int32_t)sizeof(q31_t *) - }; - - n2 = fftLen; - n1 = n2; - n2 >>= 2u; - for (int k = fftLen / 4; k > 1; k >>= 2) - { - float32_t const *p_rearranged_twiddle_tab_stride1 = - &S->rearranged_twiddle_stride1[ - S->rearranged_twiddle_tab_stride1_arr[stage]]; - float32_t const *p_rearranged_twiddle_tab_stride2 = - &S->rearranged_twiddle_stride2[ - S->rearranged_twiddle_tab_stride2_arr[stage]]; - float32_t const *p_rearranged_twiddle_tab_stride3 = - &S->rearranged_twiddle_stride3[ - S->rearranged_twiddle_tab_stride3_arr[stage]]; - - float32_t * pBase = pSrc; - for (int i = 0; i < iter; i++) - { - float32_t *inA = pBase; - float32_t *inB = inA + n2 * CMPLX_DIM; - float32_t *inC = inB + n2 * CMPLX_DIM; - float32_t *inD = inC + n2 * CMPLX_DIM; - float32_t const *pW1 = p_rearranged_twiddle_tab_stride1; - float32_t const *pW2 = p_rearranged_twiddle_tab_stride2; - float32_t const *pW3 = p_rearranged_twiddle_tab_stride3; - f32x4_t vecW; - - blkCnt = n2 / 2; - /* - * load 2 f32 complex pair - */ - vecA = vldrwq_f32(inA); - vecC = vldrwq_f32(inC); - while (blkCnt > 0U) - { - vecB = vldrwq_f32(inB); - vecD = vldrwq_f32(inD); - - vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ - vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ - - vecSum1 = vecB + vecD; - vecDiff1 = vecB - vecD; - /* - * [ 1 1 1 1 ] * [ A B C D ]' .* 1 - */ - vecTmp0 = vecSum0 + vecSum1; - vst1q(inA, vecTmp0); - inA += 4; - /* - * [ 1 -1 1 -1 ] * [ A B C D ]' - */ - vecTmp0 = vecSum0 - vecSum1; - /* - * [ 1 -1 1 -1 ] * [ A B C D ]'.* W1 - */ - vecW = vld1q(pW2); - pW2 += 4; - vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); - vst1q(inB, vecTmp1); - inB += 4; - - /* - * [ 1 -i -1 +i ] * [ A B C D ]' - */ - vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); - /* - * [ 1 -i -1 +i ] * [ A B C D ]'.* W2 - */ - vecW = vld1q(pW1); - pW1 += 4; - vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); - vst1q(inC, vecTmp1); - inC += 4; - - /* - * [ 1 +i -1 -i ] * [ A B C D ]' - */ - vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); - /* - * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 - */ - vecW = vld1q(pW3); - pW3 += 4; - vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); - vst1q(inD, vecTmp1); - inD += 4; - - vecA = vldrwq_f32(inA); - vecC = vldrwq_f32(inC); - - blkCnt--; - } - pBase += CMPLX_DIM * n1; - } - n1 = n2; - n2 >>= 2u; - iter = iter << 2; - stage++; - } - - /* - * start of Last stage process - */ - uint32x4_t vecScGathAddr = vld1q_u32 ((uint32_t*)strides); - vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; - - /* - * load scheduling - */ - vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); - vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); - - blkCnt = (fftLen >> 3); - while (blkCnt > 0U) - { - vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ - vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ - - vecB = vldrwq_gather_base_f32(vecScGathAddr, 8); - vecD = vldrwq_gather_base_f32(vecScGathAddr, 24); - - vecSum1 = vecB + vecD; - vecDiff1 = vecB - vecD; - - vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); - vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); - - vecTmp0 = vecSum0 + vecSum1; - vecTmp0 = vecTmp0 * onebyfftLen; - vstrwq_scatter_base_f32(vecScGathAddr, -64, vecTmp0); - - vecTmp0 = vecSum0 - vecSum1; - vecTmp0 = vecTmp0 * onebyfftLen; - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 8, vecTmp0); - - vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); - vecTmp0 = vecTmp0 * onebyfftLen; - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 16, vecTmp0); - - vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); - vecTmp0 = vecTmp0 * onebyfftLen; - vstrwq_scatter_base_f32(vecScGathAddr, -64 + 24, vecTmp0); - - blkCnt--; - } - - /* - * End of last stage process - */ -} - -static void arm_cfft_radix4by2_inverse_f32_mve(const arm_cfft_instance_f32 * S,float32_t *pSrc, uint32_t fftLen) -{ - float32_t const *pCoefVec; - float32_t const *pCoef = S->pTwiddle; - float32_t *pIn0, *pIn1; - uint32_t n2; - float32_t onebyfftLen = arm_inverse_fft_length_f32(fftLen); - uint32_t blkCnt; - f32x4_t vecIn0, vecIn1, vecSum, vecDiff; - f32x4_t vecCmplxTmp, vecTw; - - - n2 = fftLen >> 1; - pIn0 = pSrc; - pIn1 = pSrc + fftLen; - pCoefVec = pCoef; - - blkCnt = n2 / 2; - while (blkCnt > 0U) - { - vecIn0 = *(f32x4_t *) pIn0; - vecIn1 = *(f32x4_t *) pIn1; - vecTw = vld1q(pCoefVec); - pCoefVec += 4; - - vecSum = vecIn0 + vecIn1; - vecDiff = vecIn0 - vecIn1; - - vecCmplxTmp = MVE_CMPLX_MULT_FLT_AxB(vecTw, vecDiff); - - vst1q(pIn0, vecSum); - pIn0 += 4; - vst1q(pIn1, vecCmplxTmp); - pIn1 += 4; - - blkCnt--; - } - - _arm_radix4_butterfly_inverse_f32_mve(S, pSrc, n2, onebyfftLen); - - _arm_radix4_butterfly_inverse_f32_mve(S, pSrc + fftLen, n2, onebyfftLen); -} - - -/** - @addtogroup ComplexFFTF32 - @{ - */ - -/** - @brief Processing function for the floating-point complex FFT. - @param[in] S points to an instance of the floating-point CFFT structure - @param[in,out] p1 points to the complex data buffer. Processing occurs in-place - @param[in] ifftFlag flag that selects transform direction - - value = 0: forward transform - - value = 1: inverse transform - @param[in] bitReverseFlag flag that enables / disables bit reversal of output - - value = 0: disables bit reversal of output - - value = 1: enables bit reversal of output - - @par Size of buffers according to the target architecture and datatype: - They are described on the page \ref transformbuffers "transform buffers". - */ - - -ARM_DSP_ATTRIBUTE void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - float32_t * pSrc, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - uint32_t fftLen = S->fftLen; - - if (ifftFlag == 1U) { - - switch (fftLen) { - case 16: - case 64: - case 256: - case 1024: - case 4096: - _arm_radix4_butterfly_inverse_f32_mve(S, pSrc, fftLen, arm_inverse_fft_length_f32(S->fftLen)); - break; - - case 32: - case 128: - case 512: - case 2048: - arm_cfft_radix4by2_inverse_f32_mve(S, pSrc, fftLen); - break; - } - } else { - switch (fftLen) { - case 16: - case 64: - case 256: - case 1024: - case 4096: - _arm_radix4_butterfly_f32_mve(S, pSrc, fftLen); - break; - - case 32: - case 128: - case 512: - case 2048: - arm_cfft_radix4by2_f32_mve(S, pSrc, fftLen); - break; - } - } - - - if (bitReverseFlag) - { - - arm_bitreversal_32_inpl_mve((uint32_t*)pSrc, S->bitRevLength, S->pBitRevTable); - - } -} - - -#elif defined(ARM_MATH_NEON) -#include "CMSIS_NE10_types.h" -#include "CMSIS_NE10_fft.h" - - - -ARM_DSP_ATTRIBUTE void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - const float32_t * pIn, - float32_t * pOut, - float32_t * pBuffer, /* When used, in is not modified */ - uint8_t ifftFlag) -{ - if (S->algorithm_flag == ARM_MIXED_RADIX_FFT) - { - if (ifftFlag) - { - arm_ne10_mixed_radix_generic_butterfly_inverse_float32_neon (S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut, - (ne10_fft_cpx_float32_t *)pBuffer); - } - else - { - arm_ne10_mixed_radix_generic_butterfly_float32_neon (S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut, - (ne10_fft_cpx_float32_t *)pBuffer); - } - } - else - { - if (ifftFlag == 0) - { - if (S->fftLen==16) - { - arm_ne10_fft16_forward_float32_neon (S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut - ); - } - else - { - arm_ne10_mixed_radix_fft_forward_float32_neon (S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut, - (ne10_fft_cpx_float32_t *)pBuffer); - } - } - else - { - if (S->fftLen==16) - { - arm_ne10_fft16_backward_float32_neon(S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut); - } - else - { - arm_ne10_mixed_radix_fft_backward_float32_neon (S, - (ne10_fft_cpx_float32_t *)pIn, - (ne10_fft_cpx_float32_t *)pOut, - (ne10_fft_cpx_float32_t *)pBuffer); - } - } - } -} -#else -extern void arm_radix8_butterfly_f32( - float32_t * pSrc, - uint16_t fftLen, - const float32_t * pCoef, - uint16_t twidCoefModifier); - -extern void arm_bitreversal_32( - uint32_t * pSrc, - const uint16_t bitRevLen, - const uint16_t * pBitRevTable); - -/** - @ingroup groupTransforms - */ - -/** - @defgroup ComplexFFT Complex FFT Functions - - @par - The Fast Fourier Transform (FFT) is an efficient algorithm for computing the - Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster - than the DFT, especially for long lengths. - The algorithms described in this section - operate on complex data. A separate set of functions is devoted to handling - of real sequences. - @par - There are separate algorithms for handling floating-point, Q15, and Q31 data - types. The algorithms available for each data type are described next. - @par - The FFT functions operate in-place. That is, the array holding the input data - will also be used to hold the corresponding result. The input data is complex - and contains 2*fftLen interleaved values as shown below. - 
{real[0], imag[0], real[1], imag[1], ...}
- The FFT result will be contained in the same array and the frequency domain - values will have the same interleaving. - - @par Floating-point - The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8 - stages are performed along with a single radix-2 or radix-4 stage, as needed. - The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses - a different twiddle factor table. - @par - The function uses the standard FFT definition and output values may grow by a - factor of fftLen when computing the forward transform. The - inverse transform includes a scale of 1/fftLen as part of the - calculation and this matches the textbook definition of the inverse FFT. - @par - For the MVE version, the new arm_cfft_init_f32 initialization function is - mandatory. Compilation flags are available to include only the required tables for the - needed FFTs. Other FFT versions can continue to be initialized as - explained below. - @par - For versions not targeting Helium or Neon, pre-initialized data structures containing twiddle factors - and bit reversal tables are provided and defined in arm_const_structs.h. Include - this header in your function and then pass one of the constant structures as - an argument to arm_cfft_f32. For example: - @par - arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1) - @par - computes a 64-point inverse complex FFT including bit reversal. - The data structures are treated as constant data and not modified during the - calculation. The same data structure can be reused for multiple transforms - including mixing forward and inverse transforms. - @par - Earlier releases of the library provided separate radix-2 and radix-4 - algorithms that operated on floating-point data. These functions are still - provided but are deprecated. The older functions are slower and less general - than the new functions. - @par - An example of initialization of the constants for the arm_cfft_f32 function follows: - @code - const static arm_cfft_instance_f32 *S; - ... - switch (length) { - case 16: - S = &arm_cfft_sR_f32_len16; - break; - case 32: - S = &arm_cfft_sR_f32_len32; - break; - case 64: - S = &arm_cfft_sR_f32_len64; - break; - case 128: - S = &arm_cfft_sR_f32_len128; - break; - case 256: - S = &arm_cfft_sR_f32_len256; - break; - case 512: - S = &arm_cfft_sR_f32_len512; - break; - case 1024: - S = &arm_cfft_sR_f32_len1024; - break; - case 2048: - S = &arm_cfft_sR_f32_len2048; - break; - case 4096: - S = &arm_cfft_sR_f32_len4096; - break; - } - @endcode - - @par - The new arm_cfft_init_f32 can also be used. - @par Q15 and Q31 - The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4 - stages are performed along with a single radix-2 stage, as needed. - The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses - a different twiddle factor table. - @par - The function uses the standard FFT definition and output values may grow by a - factor of fftLen when computing the forward transform. The - inverse transform includes a scale of 1/fftLen as part of the - calculation and this matches the textbook definition of the inverse FFT. - @par - Pre-initialized data structures containing twiddle factors and bit reversal - tables are provided and defined in arm_const_structs.h. Include - this header in your function and then pass one of the constant structures as - an argument to arm_cfft_q31 (except if you are targeting Helium or Neon). For example: - @par - arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1) - @par - computes a 64-point inverse complex FFT including bit reversal. - The data structures are treated as constant data and not modified during the - calculation. The same data structure can be reused for multiple transforms - including mixing forward and inverse transforms. - @par - Earlier releases of the library provided separate radix-2 and radix-4 - algorithms that operated on floating-point data. These functions are still - provided but are deprecated. The older functions are slower and less general - than the new functions. - @par - An example of initialization of the constants for the arm_cfft_q31 function follows: - @code - const static arm_cfft_instance_q31 *S; - ... - switch (length) { - case 16: - S = &arm_cfft_sR_q31_len16; - break; - case 32: - S = &arm_cfft_sR_q31_len32; - break; - case 64: - S = &arm_cfft_sR_q31_len64; - break; - case 128: - S = &arm_cfft_sR_q31_len128; - break; - case 256: - S = &arm_cfft_sR_q31_len256; - break; - case 512: - S = &arm_cfft_sR_q31_len512; - break; - case 1024: - S = &arm_cfft_sR_q31_len1024; - break; - case 2048: - S = &arm_cfft_sR_q31_len2048; - break; - case 4096: - S = &arm_cfft_sR_q31_len4096; - break; - } - @endcode - - @par Neon version - The neon version has a different API. - The input and output buffers must be - different. - There is a temporary buffer. - The bit reverse flag is not more - available in Neon version. - - @code - void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - const float32_t * pIn, - float32_t * pOut, - float32_t * pBuffer, - uint8_t ifftFlag); - @endcode - - @par Size of buffers according to the target architecture and datatype: - They are described on the page \ref transformbuffers "transform buffers". - */ - -static void arm_cfft_radix8by2_f32 (arm_cfft_instance_f32 * S, float32_t * p1) -{ - uint32_t L = S->fftLen; - float32_t * pCol1, * pCol2, * pMid1, * pMid2; - float32_t * p2 = p1 + L; - const float32_t * tw = (float32_t *) S->pTwiddle; - float32_t t1[4], t2[4], t3[4], t4[4], twR, twI; - float32_t m0, m1, m2, m3; - uint32_t l; - - pCol1 = p1; - pCol2 = p2; - - /* Define new length */ - L >>= 1; - - /* Initialize mid pointers */ - pMid1 = p1 + L; - pMid2 = p2 + L; - - /* do two dot Fourier transform */ - for (l = L >> 2; l > 0; l-- ) - { - t1[0] = p1[0]; - t1[1] = p1[1]; - t1[2] = p1[2]; - t1[3] = p1[3]; - - t2[0] = p2[0]; - t2[1] = p2[1]; - t2[2] = p2[2]; - t2[3] = p2[3]; - - t3[0] = pMid1[0]; - t3[1] = pMid1[1]; - t3[2] = pMid1[2]; - t3[3] = pMid1[3]; - - t4[0] = pMid2[0]; - t4[1] = pMid2[1]; - t4[2] = pMid2[2]; - t4[3] = pMid2[3]; - - *p1++ = t1[0] + t2[0]; - *p1++ = t1[1] + t2[1]; - *p1++ = t1[2] + t2[2]; - *p1++ = t1[3] + t2[3]; /* col 1 */ - - t2[0] = t1[0] - t2[0]; - t2[1] = t1[1] - t2[1]; - t2[2] = t1[2] - t2[2]; - t2[3] = t1[3] - t2[3]; /* for col 2 */ - - *pMid1++ = t3[0] + t4[0]; - *pMid1++ = t3[1] + t4[1]; - *pMid1++ = t3[2] + t4[2]; - *pMid1++ = t3[3] + t4[3]; /* col 1 */ - - t4[0] = t4[0] - t3[0]; - t4[1] = t4[1] - t3[1]; - t4[2] = t4[2] - t3[2]; - t4[3] = t4[3] - t3[3]; /* for col 2 */ - - twR = *tw++; - twI = *tw++; - - /* multiply by twiddle factors */ - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - /* R = R * Tr - I * Ti */ - *p2++ = m0 + m1; - /* I = I * Tr + R * Ti */ - *p2++ = m2 - m3; - - /* use vertical symmetry */ - /* 0.9988 - 0.0491i <==> -0.0491 - 0.9988i */ - m0 = t4[0] * twI; - m1 = t4[1] * twR; - m2 = t4[1] * twI; - m3 = t4[0] * twR; - - *pMid2++ = m0 - m1; - *pMid2++ = m2 + m3; - - twR = *tw++; - twI = *tw++; - - m0 = t2[2] * twR; - m1 = t2[3] * twI; - m2 = t2[3] * twR; - m3 = t2[2] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - - m0 = t4[2] * twI; - m1 = t4[3] * twR; - m2 = t4[3] * twI; - m3 = t4[2] * twR; - - *pMid2++ = m0 - m1; - *pMid2++ = m2 + m3; - } - - /* first col */ - arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 2U); - - /* second col */ - arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 2U); -} - -static void arm_cfft_radix8by4_f32 (arm_cfft_instance_f32 * S, float32_t * p1) -{ - uint32_t L = S->fftLen >> 1; - float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4; - const float32_t *tw2, *tw3, *tw4; - float32_t * p2 = p1 + L; - float32_t * p3 = p2 + L; - float32_t * p4 = p3 + L; - float32_t t2[4], t3[4], t4[4], twR, twI; - float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1; - float32_t m0, m1, m2, m3; - uint32_t l, twMod2, twMod3, twMod4; - - pCol1 = p1; /* points to real values by default */ - pCol2 = p2; - pCol3 = p3; - pCol4 = p4; - pEnd1 = p2 - 1; /* points to imaginary values by default */ - pEnd2 = p3 - 1; - pEnd3 = p4 - 1; - pEnd4 = pEnd3 + L; - - tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle; - - L >>= 1; - - /* do four dot Fourier transform */ - - twMod2 = 2; - twMod3 = 4; - twMod4 = 6; - - /* TOP */ - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - - /* col 2 */ - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - /* col 3 */ - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - /* col 4 */ - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - /* col 1 */ - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - /* Twiddle factors are ones */ - *p2++ = t2[0]; - *p2++ = t2[1]; - *p3++ = t3[0]; - *p3++ = t3[1]; - *p4++ = t4[0]; - *p4++ = t4[1]; - - tw2 += twMod2; - tw3 += twMod3; - tw4 += twMod4; - - for (l = (L - 2) >> 1; l > 0; l-- ) - { - /* TOP */ - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - /* col 2 */ - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - /* col 3 */ - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - /* col 4 */ - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - /* col 1 - top */ - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - /* BOTTOM */ - p1ap3_1 = pEnd1[-1] + pEnd3[-1]; - p1sp3_1 = pEnd1[-1] - pEnd3[-1]; - p1ap3_0 = pEnd1[ 0] + pEnd3[0]; - p1sp3_0 = pEnd1[ 0] - pEnd3[0]; - /* col 2 */ - t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1; - t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1]; - /* col 3 */ - t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1]; - t3[3] = p1ap3_0 - pEnd2[ 0] - pEnd4[ 0]; - /* col 4 */ - t4[2] = pEnd2[ 0] - pEnd4[ 0] - p1sp3_1; - t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0; - /* col 1 - Bottom */ - *pEnd1-- = p1ap3_0 + pEnd2[ 0] + pEnd4[ 0]; - *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1]; - - /* COL 2 */ - /* read twiddle factors */ - twR = *tw2++; - twI = *tw2++; - /* multiply by twiddle factors */ - /* let Z1 = a + i(b), Z2 = c + i(d) */ - /* => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d) */ - - /* Top */ - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - /* use vertical symmetry col 2 */ - /* 0.9997 - 0.0245i <==> 0.0245 - 0.9997i */ - /* Bottom */ - m0 = t2[3] * twI; - m1 = t2[2] * twR; - m2 = t2[2] * twI; - m3 = t2[3] * twR; - - *pEnd2-- = m0 - m1; - *pEnd2-- = m2 + m3; - - /* COL 3 */ - twR = tw3[0]; - twI = tw3[1]; - tw3 += twMod3; - /* Top */ - m0 = t3[0] * twR; - m1 = t3[1] * twI; - m2 = t3[1] * twR; - m3 = t3[0] * twI; - - *p3++ = m0 + m1; - *p3++ = m2 - m3; - /* use vertical symmetry col 3 */ - /* 0.9988 - 0.0491i <==> -0.9988 - 0.0491i */ - /* Bottom */ - m0 = -t3[3] * twR; - m1 = t3[2] * twI; - m2 = t3[2] * twR; - m3 = t3[3] * twI; - - *pEnd3-- = m0 - m1; - *pEnd3-- = m3 - m2; - - /* COL 4 */ - twR = tw4[0]; - twI = tw4[1]; - tw4 += twMod4; - /* Top */ - m0 = t4[0] * twR; - m1 = t4[1] * twI; - m2 = t4[1] * twR; - m3 = t4[0] * twI; - - *p4++ = m0 + m1; - *p4++ = m2 - m3; - /* use vertical symmetry col 4 */ - /* 0.9973 - 0.0736i <==> -0.0736 + 0.9973i */ - /* Bottom */ - m0 = t4[3] * twI; - m1 = t4[2] * twR; - m2 = t4[2] * twI; - m3 = t4[3] * twR; - - *pEnd4-- = m0 - m1; - *pEnd4-- = m2 + m3; - } - - /* MIDDLE */ - /* Twiddle factors are */ - /* 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i */ - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - - /* col 2 */ - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - /* col 3 */ - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - /* col 4 */ - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - /* col 1 - Top */ - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - /* COL 2 */ - twR = tw2[0]; - twI = tw2[1]; - - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - /* COL 3 */ - twR = tw3[0]; - twI = tw3[1]; - - m0 = t3[0] * twR; - m1 = t3[1] * twI; - m2 = t3[1] * twR; - m3 = t3[0] * twI; - - *p3++ = m0 + m1; - *p3++ = m2 - m3; - /* COL 4 */ - twR = tw4[0]; - twI = tw4[1]; - - m0 = t4[0] * twR; - m1 = t4[1] * twI; - m2 = t4[1] * twR; - m3 = t4[0] * twI; - - *p4++ = m0 + m1; - *p4++ = m2 - m3; - - /* first col */ - arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 4U); - - /* second col */ - arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 4U); - - /* third col */ - arm_radix8_butterfly_f32 (pCol3, L, (float32_t *) S->pTwiddle, 4U); - - /* fourth col */ - arm_radix8_butterfly_f32 (pCol4, L, (float32_t *) S->pTwiddle, 4U); -} - -/** - @addtogroup ComplexFFTF32 - @{ - */ - -/** - @brief Processing function for the floating-point complex FFT. - @param[in] S points to an instance of the floating-point CFFT structure - @param[in,out] p1 points to the complex data buffer. Processing occurs in-place - @param[in] ifftFlag flag that selects transform direction - - value = 0: forward transform - - value = 1: inverse transform - @param[in] bitReverseFlag flag that enables / disables bit reversal of output - - value = 0: disables bit reversal of output - - value = 1: enables bit reversal of output - @par Neon version - The neon version has a different API. - The input and output buffers must be - different. - There is an optional temporary buffer. - If the temporary buffer is not used, the - input buffer is modified. - The bit reverse flag is not more - available in Neon version. - - @par - @code - void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - float32_t * pIn, - float32_t * pOut, - float32_t * pBuffer, - uint8_t ifftFlag); - @endcode - - @par Size of buffers according to the target architecture and datatype: - They are described on the page \ref transformbuffers "transform buffers". - - */ - -ARM_DSP_ATTRIBUTE void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - float32_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - uint32_t L = S->fftLen, l; - float32_t invL, * pSrc; - - if (ifftFlag == 1U) - { - /* Conjugate input data */ - pSrc = p1 + 1; - for (l = 0; l < L; l++) - { - *pSrc = -*pSrc; - pSrc += 2; - } - } - - switch (L) - { - case 16: - case 128: - case 1024: - arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1); - break; - case 32: - case 256: - case 2048: - arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1); - break; - case 64: - case 512: - case 4096: - arm_radix8_butterfly_f32 ( p1, L, (float32_t *) S->pTwiddle, 1); - break; - } - - if ( bitReverseFlag ) - arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable); - - if (ifftFlag == 1U) - { - invL = 1.0f / (float32_t)L; - - /* Conjugate and scale output data */ - pSrc = p1; - for (l= 0; l < L; l++) - { - *pSrc++ *= invL ; - *pSrc = -(*pSrc) * invL; - pSrc++; - } - } -} -#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ - -/** - @} end of ComplexFFTF32 group - */ diff --git a/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_init_f32.c b/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_init_f32.c deleted file mode 100755 index 56e552e..0000000 --- a/third_party/cmsis-dsp/Source/TransformFunctions/arm_cfft_init_f32.c +++ /dev/null @@ -1,365 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_cfft_init_f32.c - * Description: Initialization function for cfft f32 instance - * - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ - -/* - * Copyright (C) 2010-2024 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ -#include "arm_compiler_specific.h" - - -/** - * @defgroup ComplexFFTF32 Complex FFT F32 - */ - -/** - @ingroup groupTransforms - */ - -/** - @addtogroup ComplexFFT - @{ - */ - -/** - @addtogroup ComplexFFTF32 - @{ - */ -#include "dsp/transform_functions.h" -#include "arm_common_tables.h" -#include "arm_const_structs.h" - - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) - -#include "arm_vec_fft.h" -#include "arm_mve_tables.h" - - -#define CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(LEN) \ -static arm_status arm_cfft_radix4by2_rearrange_twiddles_##LEN##_f32(arm_cfft_instance_f32 *S)\ -{ \ - S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_##LEN##_f32; \ - S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_##LEN##_f32; \ - \ - S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_##LEN##_f32; \ - S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_##LEN##_f32; \ - \ - S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_##LEN##_f32; \ - S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_##LEN##_f32; \ - return(ARM_MATH_SUCCESS); \ -} - -CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(4096); -CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(1024); -CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(256); -CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(64); -CFFT_RADIX4BY2_REARRANGE_TWIDDLES_F32(16); - - -#define CFFTINIT_F32(LEN,LENTWIDDLE) \ -ARM_DSP_ATTRIBUTE arm_status arm_cfft_init_##LEN##_f32( \ - arm_cfft_instance_f32 * S) \ -{ \ - /* Initialise the default arm status */ \ - arm_status status = ARM_MATH_SUCCESS; \ - \ - /* Initialise the FFT length */ \ - S->fftLen = LEN; \ - \ - /* Initialise the Twiddle coefficient pointer */ \ - S->pTwiddle = NULL; \ - \ - /* Initialise the bit reversal table modifier */ \ - S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_##LEN##_TABLE_LENGTH; \ - S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_##LEN; \ - S->pTwiddle = (float32_t *)twiddleCoef_##LEN; \ - status=arm_cfft_radix4by2_rearrange_twiddles_##LENTWIDDLE##_f32(S); \ - \ - return (status); \ -} - -#elif defined(ARM_MATH_NEON) - -#include "arm_neon_tables.h" - -#define CFFTINIT_F32(LEN,LENTWIDDLE) \ -ARM_DSP_ATTRIBUTE arm_status arm_cfft_init_##LEN##_f32(arm_cfft_instance_f32 * S)\ -{ \ - /* Initialise the default arm status */ \ - arm_status status = ARM_MATH_SUCCESS; \ - S->pTwiddle = arm_neon_twiddles_##LEN##_f32; \ - S->factors=arm_neon_factors_##LEN##_f32; \ - S->fftLen = LEN; \ - S->algorithm_flag = 0; \ - S->last_twiddles = NULL; \ - return status; \ -} -#else - -#define FFTINIT(EXT,SIZE) \ - S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength; \ - S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable; \ - S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle; - -#define CFFTINIT_F32(LEN,LENTWIDDLE) \ -ARM_DSP_ATTRIBUTE arm_status arm_cfft_init_##LEN##_f32(arm_cfft_instance_f32 * S)\ -{ \ - /* Initialise the default arm status */ \ - arm_status status = ARM_MATH_SUCCESS; \ - \ - /* Initialise the FFT length */ \ - S->fftLen = LEN; \ - \ - /* Initialise the Twiddle coefficient pointer */ \ - S->pTwiddle = NULL; \ - \ - FFTINIT(f32,LEN); \ - \ - return (status); \ -} - -#endif /* if not neon and not mve*/ - - -/** - @brief Initialization function for the cfft f32 function with 4096 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(4096,4096) - - -/** - @brief Initialization function for the cfft f32 function with 2048 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(2048,1024) - - -/** - @brief Initialization function for the cfft f32 function with 1024 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(1024,1024) - - -/** - @brief Initialization function for the cfft f32 function with 512 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(512,256) - - -/** - @brief Initialization function for the cfft f32 function with 256 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(256,256) - - -/** - @brief Initialization function for the cfft f32 function with 128 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(128,64) - - -/** - @brief Initialization function for the cfft f32 function with 64 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(64,64) - - -/** - @brief Initialization function for the cfft f32 function with 32 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(32,16) - - -/** - @brief Initialization function for the cfft f32 function with 16 samples - @param[in,out] S points to an instance of the floating-point CFFT structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - */ -CFFTINIT_F32(16,16) - - -/** - @brief Generic initialization function for the cfft f32 function - @param[in,out] S points to an instance of the floating-point CFFT structure - @param[in] fftLen fft length (number of complex samples) - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - - @par - Use of this function is mandatory only for the Helium and Neon versions of the FFT. - Other versions can still initialize directly the data structure using - variables declared in arm_const_structs.h - - @par - This function should be used only if you don't know the FFT sizes that - you'll need at build time. The use of this function will prevent the - linker from removing the FFT tables that are not needed and the library - code size will be bigger than needed. - - @par - If you use CMSIS-DSP as a static library, and if you know the FFT sizes - that you need at build time, then it is better to use the initialization - functions defined for each FFT size. - */ -ARM_DSP_ATTRIBUTE arm_status arm_cfft_init_f32( - arm_cfft_instance_f32 * S, - uint16_t fftLen) -{ - - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initializations of Instance structure depending on the FFT length */ - switch (fftLen) { - /* Initializations of structure parameters for 4096 point FFT */ - case 4096U: - /* Initialise the bit reversal table modifier */ - status=arm_cfft_init_4096_f32(S); - break; - - /* Initializations of structure parameters for 2048 point FFT */ - case 2048U: - /* Initialise the bit reversal table modifier */ - status=arm_cfft_init_2048_f32(S); - break; - - /* Initializations of structure parameters for 1024 point FFT */ - case 1024U: - /* Initialise the bit reversal table modifier */ - status=arm_cfft_init_1024_f32(S); - break; - - /* Initializations of structure parameters for 512 point FFT */ - case 512U: - /* Initialise the bit reversal table modifier */ - status=arm_cfft_init_512_f32(S); - break; - - case 256U: - status=arm_cfft_init_256_f32(S); - break; - - case 128U: - status=arm_cfft_init_128_f32(S); - break; - - case 64U: - status=arm_cfft_init_64_f32(S); - break; - - case 32U: - status=arm_cfft_init_32_f32(S); - break; - - case 16U: - /* Initializations of structure parameters for 16 point FFT */ - status=arm_cfft_init_16_f32(S); - break; - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - - return (status); -} - -/** - @} end of ComplexFFTF32 group - */ - -/** - @} end of ComplexFFT group - */ diff --git a/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_f32.c b/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_f32.c deleted file mode 100644 index 7e6b029..0000000 --- a/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_f32.c +++ /dev/null @@ -1,706 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_rfft_fast_f32.c - * Description: RFFT & RIFFT Floating point process function - * - * $Date: 23 April 2021 - * $Revision: V1.9.0 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ - -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ -#include "arm_compiler_specific.h" - - -#include "dsp/transform_functions.h" - -#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) -static void stage_rfft_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut) -{ - int32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - const float32_t *pA = p; /* increasing pointer */ - const float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b; /* temporary variables */ - float32_t p0, p1, p2, p3; /* temporary variables */ - - float32x4x2_t tw,xA,xB; - float32x4x2_t tmp1, tmp2, res; - - uint32x4_t vecStridesFwd, vecStridesBkwd; - - vecStridesFwd = vidupq_u32((uint32_t)0, 2); - vecStridesBkwd = -vecStridesFwd; - - int blockCnt; - - - k = (S->Sint).fftLen - 1; - - /* Pack first and last sample of the frequency domain together */ - - xBR = pB[0]; - xBI = pB[1]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++ ; - twI = *pCoeff++ ; - - // U1 = XA(1) + XB(1); % It is real - t1a = xBR + xAR ; - - // U2 = XB(1) - XA(1); % It is imaginary - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - *pOut++ = 0.5f * ( t1a + t1b ); - *pOut++ = 0.5f * ( t1a - t1b ); - - // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); - pB = p + 2*k; - pA += 2; - - blockCnt = k >> 2; - while (blockCnt > 0) - { - /* - function X = my_split_rfft(X, ifftFlag) - % X is a series of real numbers - L = length(X); - XC = X(1:2:end) +i*X(2:2:end); - XA = fft(XC); - XB = conj(XA([1 end:-1:2])); - TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; - for l = 2:L/2 - XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); - end - XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); - X = XA; - */ - - - xA = vld2q_f32(pA); - pA += 8; - - xB = vld2q_f32(pB); - - xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd); - xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd); - - xB.val[1] = vnegq_f32(xB.val[1]); - pB -= 8; - - - tw = vld2q_f32(pCoeff); - pCoeff += 8; - - - tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]); - tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]); - - tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]); - tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]); - - res.val[0] = vmulq(tw.val[0], tmp2.val[0]); - res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]); - - res.val[1] = vmulq(tw.val[0], tmp2.val[1]); - res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]); - - res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] ); - res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] ); - - res.val[0] = vmulq_n_f32(res.val[0], 0.5f); - res.val[1] = vmulq_n_f32(res.val[1], 0.5f); - - - vst2q_f32(pOut, res); - pOut += 8; - - - blockCnt--; - } - - blockCnt = k & 3; - while (blockCnt > 0) - { - /* - function X = my_split_rfft(X, ifftFlag) - % X is a series of real numbers - L = length(X); - XC = X(1:2:end) +i*X(2:2:end); - XA = fft(XC); - XB = conj(XA([1 end:-1:2])); - TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; - for l = 2:L/2 - XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); - end - XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); - X = XA; - */ - - xBI = pB[1]; - xBR = pB[0]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xBR - xAR ; - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - p0 = twR * t1a; - p1 = twI * t1a; - p2 = twR * t1b; - p3 = twI * t1b; - - *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR - *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI - - pA += 2; - pB -= 2; - blockCnt--; - } -} - -/* Prepares data for inverse cfft */ -static void merge_rfft_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut) -{ - int32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - const float32_t *pA = p; /* increasing pointer */ - const float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b, r, s, t, u; /* temporary variables */ - - float32x4x2_t tw,xA,xB; - float32x4x2_t tmp1, tmp2, res; - uint32x4_t vecStridesFwd, vecStridesBkwd; - - vecStridesFwd = vidupq_u32((uint32_t)0, 2); - vecStridesBkwd = -vecStridesFwd; - - int blockCnt; - - - k = (S->Sint).fftLen - 1; - - xAR = pA[0]; - xAI = pA[1]; - - pCoeff += 2 ; - - *pOut++ = 0.5f * ( xAR + xAI ); - *pOut++ = 0.5f * ( xAR - xAI ); - - pB = p + 2*k ; - pA += 2 ; - - blockCnt = k >> 2; - while (blockCnt > 0) - { - /* G is half of the frequency complex spectrum */ - //for k = 2:N - // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); - xA = vld2q_f32(pA); - pA += 8; - - xB = vld2q_f32(pB); - - xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd); - xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd); - - xB.val[1] = vnegq_f32(xB.val[1]); - pB -= 8; - - - tw = vld2q_f32(pCoeff); - tw.val[1] = vnegq_f32(tw.val[1]); - pCoeff += 8; - - - tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]); - tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]); - - tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]); - tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]); - - res.val[0] = vmulq(tw.val[0], tmp2.val[0]); - res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]); - - res.val[1] = vmulq(tw.val[0], tmp2.val[1]); - res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]); - - res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] ); - res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] ); - - res.val[0] = vmulq_n_f32(res.val[0], 0.5f); - res.val[1] = vmulq_n_f32(res.val[1], 0.5f); - - - vst2q_f32(pOut, res); - pOut += 8; - - - blockCnt--; - } - - blockCnt = k & 3; - while (blockCnt > 0) - { - /* G is half of the frequency complex spectrum */ - //for k = 2:N - // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); - xBI = pB[1] ; - xBR = pB[0] ; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xAR - xBR ; - t1b = xAI + xBI ; - - r = twR * t1a; - s = twI * t1b; - t = twI * t1a; - u = twR * t1b; - - // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); - // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); - *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR - *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI - - pA += 2; - pB -= 2; - blockCnt--; - } - -} -#elif defined(ARM_MATH_NEON) -/* - -No stage merge functions defined here for Neon. - -*/ -#else -static void stage_rfft_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut) -{ - int32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - const float32_t *pA = p; /* increasing pointer */ - const float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b; /* temporary variables */ - float32_t p0, p1, p2, p3; /* temporary variables */ - - - k = (S->Sint).fftLen - 1; - - /* Pack first and last sample of the frequency domain together */ - - xBR = pB[0]; - xBI = pB[1]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++ ; - twI = *pCoeff++ ; - - - // U1 = XA(1) + XB(1); % It is real - t1a = xBR + xAR ; - - // U2 = XB(1) - XA(1); % It is imaginary - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - *pOut++ = 0.5f * ( t1a + t1b ); - *pOut++ = 0.5f * ( t1a - t1b ); - - // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); - pB = p + 2*k; - pA += 2; - - do - { - /* - function X = my_split_rfft(X, ifftFlag) - % X is a series of real numbers - L = length(X); - XC = X(1:2:end) +i*X(2:2:end); - XA = fft(XC); - XB = conj(XA([1 end:-1:2])); - TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; - for l = 2:L/2 - XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); - end - XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); - X = XA; - */ - - xBI = pB[1]; - xBR = pB[0]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xBR - xAR ; - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - p0 = twR * t1a; - p1 = twI * t1a; - p2 = twR * t1b; - p3 = twI * t1b; - - *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR - *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI - - - pA += 2; - pB -= 2; - k--; - } while (k > 0); -} - -/* Prepares data for inverse cfft */ -static void merge_rfft_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut) -{ - int32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - const float32_t *pA = p; /* increasing pointer */ - const float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b, r, s, t, u; /* temporary variables */ - - k = (S->Sint).fftLen - 1; - - xAR = pA[0]; - xAI = pA[1]; - - pCoeff += 2 ; - - *pOut++ = 0.5f * ( xAR + xAI ); - *pOut++ = 0.5f * ( xAR - xAI ); - - pB = p + 2*k ; - pA += 2 ; - - while (k > 0) - { - /* G is half of the frequency complex spectrum */ - //for k = 2:N - // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); - xBI = pB[1] ; - xBR = pB[0] ; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xAR - xBR ; - t1b = xAI + xBI ; - - r = twR * t1a; - s = twI * t1b; - t = twI * t1a; - u = twR * t1b; - - // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); - // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); - *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR - *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI - - pA += 2; - pB -= 2; - k--; - } - -} - -#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ - -/** - @ingroup groupTransforms -*/ - -/** - @defgroup RealFFT Real FFT Functions - - @par - The CMSIS DSP library includes specialized algorithms for computing the - FFT of real data sequences. The FFT is defined over complex data but - in many applications the input is real. Real FFT algorithms take advantage - of the symmetry properties of the FFT and have a speed advantage over complex - algorithms of the same length. - @par - The Fast RFFT algorithm relays on the mixed radix CFFT that save processor usage. - @par - The real length N forward FFT of a sequence is computed using the steps shown below. - @par - \image html RFFT.gif "Real Fast Fourier Transform" - @par - The real sequence is initially treated as if it were complex to perform a CFFT. - Later, a processing stage reshapes the data to obtain half of the frequency spectrum - in complex format. - - @par - The input for the inverse RFFT should keep the same format as the output of the - forward RFFT. A first processing stage pre-process the data to later perform an - inverse CFFT. - @par - \image html RIFFT.gif "Real Inverse Fast Fourier Transform" - @par - The algorithms for floating-point, Q15, and Q31 data are slightly different - and we describe each algorithm in turn. - @par Floating-point - The main functions are \ref arm_rfft_fast_f32() and \ref arm_rfft_fast_init_f32(). - - For f16, the functions are \ref arm_rfft_fast_f16() and \ref arm_rfft_fast_init_f16(). - For f64, the functions are \ref arm_rfft_fast_f64() and \ref arm_rfft_fast_init_f64(). - @par - The FFT of a real N-point sequence has even symmetry in the frequency domain. - The second half of the data equals the conjugate of the first half flipped in frequency. - This conjugate part is not computed by the float RFFT. As consequence, the output of - a N point real FFT should be a N//2 + 1 complex numbers so N + 2 floats. - @par - It happens that the first complex of number of the RFFT output is actually - all real. Its real part represents the DC offset. - The value at Nyquist frequency is also real. - - @par - Those two complex numbers can be encoded with 2 floats rather than using two numbers - with an imaginary part set to zero. - @par - The implementation is using a trick so that the output buffer can be N float : - the last real is packaged in the imaginary part of the first complex (since - this imaginary part is not used and is zero). - - @par - The real FFT functions pack the frequency domain data in this fashion. - The forward transform outputs the data in this form and the inverse - transform expects input data in this form. The function always performs - the needed bitreversal so that the input and output data is always in - normal order. The functions support lengths of [32, 64, 128, ..., 4096] - samples. - @par Q15 and Q31 - The real algorithms are defined in a similar manner and utilize N/2 complex - transforms behind the scenes. - - @par - But warning, contrary to the float version, the fixed point implementation - RFFT is also computing the conjugate part (except for MVE version) so the - output buffer must be bigger. - Also the fixed point RFFTs are not using any trick to pack the DC and Nyquist - frequency in the same complex number. - The RIFFT is not using the conjugate part but it is still using the Nyquist - frequency value. The details are given in the documentation for the functions. - @par - The complex transforms used internally include scaling to prevent fixed-point - overflows. The overall scaling equals 1/(fftLen/2). - Due to the use of complex transform internally, the source buffer is - modified by the rfft. - @par - A separate instance structure must be defined for each transform used but - twiddle factor and bit reversal tables can be reused. - @par - There is also an associated initialization function for each data type. - The initialization function performs the following operations: - - Sets the values of the internal structure fields. - - Initializes twiddle factor table and bit reversal table pointers. - - Initializes the internal complex FFT data structure. - @par - Use of the initialization function is optional **except for MVE versions where it is mandatory**. - If you don't use the initialization functions, then the structures should be initialized with code - similar to the one below: - 
-      arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
-      arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
-
- where fftLenReal is the length of the real transform; - fftLenBy2 length of the internal complex transform (fftLenReal/2). - ifftFlagR Selects forward (=0) or inverse (=1) transform. - bitReverseFlagR Selects bit reversed output (=0) or normal order - output (=1). - twidCoefRModifier stride modifier for the twiddle factor table. - The value is based on the FFT length; - pTwiddleARealpoints to the A array of twiddle coefficients; - pTwiddleBRealpoints to the B array of twiddle coefficients; - pCfft points to the CFFT Instance structure. The CFFT structure - must also be initialized. -@par - Note that with MVE versions you can't initialize instance structures directly and **must - use the initialization function**. - - @par Neon version - The neon version has a different API. - The input and output buffers must be - different. - There is a temporary buffer that is not optional. - - The bit reverse flag is not more - available in Neon version. - - - @code - void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - float32_t * p, - float32_t * pOut, - float32_t *tmpbuf, - uint8_t ifftFlag); - @endcode - - @par Size of buffers according to the target architecture and datatype: - They are described on the page \ref transformbuffers "transform buffers". - */ - -/** - @defgroup DeprecatedRealFFT Deprecated Real FFT Functions -*/ - -/** - @defgroup RealFFTF32 Real FFT F32 Functions -*/ -/** - @addtogroup RealFFTF32 - @{ -*/ - -/** - @brief Processing function for the floating-point real FFT. - @param[in] S points to an arm_rfft_fast_instance_f32 structure - @param[in] p points to input buffer (Source buffer is modified by this function.) - @param[in] pOut points to output buffer - @param[in] ifftFlag - - value = 0: RFFT - - value = 1: RIFFT - - @par Neon version - The neon version has a different API. - The input and output buffers must be - different. - There is a temporary buffer. - @par - The bit reverse flag is not more - available in Neon version. - - @par - @code - void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut, - float32_t *tmpbuf, - uint8_t ifftFlag); - @endcode - - @par Size of buffers according to the target architecture and datatype: - They are described on the page \ref transformbuffers "transform buffers". -*/ - -#if defined(ARM_MATH_NEON) - -#include "CMSIS_NE10_types.h" -#include "CMSIS_NE10_fft.h" - -/* - -p size : nfft reals -pOut size : nfft reals (nfft/2 complex) -tmpBuf size : 2*nfft reals (nfft complex) - -*/ -ARM_DSP_ATTRIBUTE void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - const float32_t * p, - float32_t * pOut, - float32_t *tmpbuf, - uint8_t ifftFlag) -{ -/* Calculation of Real FFT */ - if (!ifftFlag) - { - arm_ne10_fft_r2c_1d_float32_neon (S,p,pOut,tmpbuf); - } - else - { - arm_ne10_fft_c2r_1d_float32_neon (S,p,pOut,tmpbuf); - } -} -#else -ARM_DSP_ATTRIBUTE void arm_rfft_fast_f32( - const arm_rfft_fast_instance_f32 * S, - float32_t * p, - float32_t * pOut, - uint8_t ifftFlag) -{ - const arm_cfft_instance_f32 * Sint = &(S->Sint); - - /* Calculation of Real FFT */ - if (ifftFlag) - { - /* Real FFT compression */ - merge_rfft_f32(S, p, pOut); - /* Complex radix-4 IFFT process */ - arm_cfft_f32( Sint, pOut, ifftFlag, 1); - } - else - { - /* Calculation of RFFT of input */ - arm_cfft_f32( Sint, p, ifftFlag, 1); - - /* Real FFT extraction */ - stage_rfft_f32(S, p, pOut); - } -} -#endif -/** -* @} end of RealFFTF32 group -*/ diff --git a/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c deleted file mode 100644 index 04052c5..0000000 --- a/third_party/cmsis-dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c +++ /dev/null @@ -1,386 +0,0 @@ -/* ---------------------------------------------------------------------- - * Project: CMSIS DSP Library - * Title: arm_rfft_fast_init_f32.c - * Description: Split Radix Decimation in Frequency CFFT Floating point processing function - * - * $Date: 23 April 2021 - * $Revision: V1.9.0 - * - * Target Processor: Cortex-M and Cortex-A cores - * -------------------------------------------------------------------- */ - -/* - * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ -#include "arm_compiler_specific.h" - - -#include "dsp/transform_functions.h" -#include "arm_common_tables.h" - -/** - @ingroup RealFFT - */ - -/** - @addtogroup RealFFTF32 - @{ - */ - - -/** - @brief Initialization function for the 32pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ - -#if defined(ARM_MATH_NEON) -#include "arm_neon_tables.h" -#define RFFT_INIT(LEN) \ - S->nfft = LEN; \ - S->r_twiddles = arm_neon_rfft_twiddles_##LEN##_f32; \ - S->r_factors = arm_neon_rfft_factors_##LEN##_f32; \ - \ - S->r_twiddles_neon = arm_neon_rfft_twiddles_neon_##LEN##_f32; \ - S->r_factors_neon = arm_neon_rfft_factors_neon_##LEN##_f32; \ - \ - S->r_twiddles_backward = S->r_twiddles + 2*ARM_NE10_OFFSET_BACKWARD_TWID_RFFT_##LEN##_F32; \ - S->r_twiddles_neon_backward = S->r_twiddles_neon + 2*ARM_NE10_OFFSET_BACKWARD_TWID_NEON_##LEN##_F32;\ - \ - S->r_super_twiddles_neon = arm_neon_rfft_super_twiddles_neon_##LEN##_f32; - -#define FAST_INIT_FUNC(LEN) \ -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_##LEN##_f32( arm_rfft_fast_instance_f32 * S )\ -{ \ - \ - if( !S ) return ARM_MATH_ARGUMENT_ERROR; \ - \ - RFFT_INIT(LEN); \ - \ - return ARM_MATH_SUCCESS; \ -} - -#endif - -#if defined(ARM_MATH_NEON) - -FAST_INIT_FUNC(32) - -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_32_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_16_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - - S->fftLenRFFT = 32U; - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_32; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Initialization function for the 64pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(64) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_64_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_32_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 64U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_64; - - return ARM_MATH_SUCCESS; -} -#endif - -/** - @brief Initialization function for the 128pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ - -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(128) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_128_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_64_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 128; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_128; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Initialization function for the 256pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected -*/ - -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(256) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_256_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_128_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 256U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_256; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Initialization function for the 512pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ - -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(512) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_512_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_256_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 512U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_512; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Initialization function for the 1024pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ - -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(1024) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_1024_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_512_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 1024U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_1024; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Initialization function for the 2048pt floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(2048) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_2048_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_1024_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 2048U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_2048; - - return ARM_MATH_SUCCESS; -} -#endif -/** -* @brief Initialization function for the 4096pt floating-point real FFT. -* @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected - */ - -#if defined(ARM_MATH_NEON) -FAST_INIT_FUNC(4096) -#else -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_4096_f32( arm_rfft_fast_instance_f32 * S ) { - - arm_status status; - - if( !S ) return ARM_MATH_ARGUMENT_ERROR; - - status=arm_cfft_init_2048_f32(&(S->Sint)); - if (status != ARM_MATH_SUCCESS) - { - return(status); - } - S->fftLenRFFT = 4096U; - - S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_4096; - - return ARM_MATH_SUCCESS; -} -#endif -/** - @brief Generic initialization function for the floating-point real FFT. - @param[in,out] S points to an arm_rfft_fast_instance_f32 structure - @param[in] fftLen length of the Real Sequence - @return execution status - - \ref ARM_MATH_SUCCESS : Operation successful - - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length - - @par Description - The parameter fftLen specifies the length of RFFT/CIFFT process. - Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. - - @par - This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. - - @par - This function should be used only if you don't know the FFT sizes that - you'll need at build time. The use of this function will prevent the - linker from removing the FFT tables that are not needed and the library - code size will be bigger than needed. - - @par - If you use CMSIS-DSP as a static library, and if you know the FFT sizes - that you need at build time, then it is better to use the initialization - functions defined for each FFT size. - - */ - -ARM_DSP_ATTRIBUTE arm_status arm_rfft_fast_init_f32( - arm_rfft_fast_instance_f32 * S, - uint16_t fftLen) -{ - arm_status status; - - - switch (fftLen) - { - case 4096U: - status = arm_rfft_fast_init_4096_f32(S); - break; - case 2048U: - status = arm_rfft_fast_init_2048_f32(S); - break; - case 1024U: - status = arm_rfft_fast_init_1024_f32(S); - break; - case 512U: - status = arm_rfft_fast_init_512_f32(S); - break; - case 256U: - status = arm_rfft_fast_init_256_f32(S); - break; - case 128U: - status = arm_rfft_fast_init_128_f32(S); - break; - case 64U: - status = arm_rfft_fast_init_64_f32(S); - break; - case 32U: - status = arm_rfft_fast_init_32_f32(S); - break; - default: - return(ARM_MATH_ARGUMENT_ERROR); - break; - } - - return(status); - -} - -#if defined(RFFT_INIT) - #undef RFFT_INIT - #endif - - #if defined(FAST_INIT_FUNC) - #undef FAST_INIT_FUNC - #endif - -/** - @} end of RealFFTF32 group - */ diff --git a/third_party/cmsis-dsp/VENDOR.md b/third_party/cmsis-dsp/VENDOR.md deleted file mode 100644 index 5043e09..0000000 --- a/third_party/cmsis-dsp/VENDOR.md +++ /dev/null @@ -1,42 +0,0 @@ -# Vendored CMSIS-DSP subset (float32 real FFT, Helium backend) - -This is a **minimal subset** of Arm's CMSIS-DSP and CMSIS-Core, vendored so -the optional Cortex-M55 (Helium/MVE) FFT backend can be built without a -submodule or network fetch. It is compiled **only** when the `MUTAP_FFT_CMSIS` -CMake option is ON (ARM cross builds); nothing here is touched by the default -desktop/Hexagon builds, which stay on the Ooura FFT. - -## Provenance - -| Component | Upstream | Pinned commit | Date | -|------------|--------------------------------------------|----------------|------------| -| CMSIS-DSP | github.com/ARM-software/CMSIS-DSP | `918014f0ba96` | 2026-07-17 | -| CMSIS-Core | github.com/ARM-software/CMSIS_6 (Core) | `7f62ddc8ab8e` | 2026-06-30 | - -License: Apache-2.0 (see `LICENSE`; SPDX headers retained in every file). - -## Contents (why each file is here) - -The closure was computed with `gcc -M` over the eight compiled sources for -`-mcpu=cortex-m55`; only files that closure actually opens are vendored. - -- `Source/TransformFunctions/` — `arm_rfft_fast_f32`, `arm_rfft_fast_init_f32`, - `arm_cfft_f32`, `arm_cfft_init_f32`, `arm_bitreversal2` (the real-FFT entry - point and its complex-FFT + bit-reversal dependencies). -- `Source/CommonTables/` — `arm_common_tables`, `arm_const_structs`, - `arm_mve_tables` (twiddle factors, radix structs, MVE-specific tables). -- `Include/` — `arm_math.h` umbrella and the headers it pulls (types, memory, - helium utils, the table declarations, and the `dsp/*.h` group headers the - umbrella includes even though only the transform group is used). -- `PrivateInclude/` — `arm_compiler_specific.h`, `arm_vec_fft.h`. -- `cmsis-core/Include/` — `cmsis_compiler.h`, `cmsis_gcc.h`, - `m-profile/cmsis_gcc_m.h` (the only CMSIS-Core headers the closure needs; - the GCC-only compiler shims, no device/core header required). - -## Refreshing - -To bump versions: re-clone both repos at the new commits, re-run the `gcc -M` -closure (see `bench/README.md` / the FFT-backend section of -`docs/optimization.md`), copy the resulting file list here, update the table -above, and re-run the parity harness (`tests/test_fft_backend.cpp`) plus the -full float32 battery on the M55 leg. Do **not** hand-edit vendored sources. diff --git a/third_party/cmsis-dsp/cmsis-core/Include/cmsis_compiler.h b/third_party/cmsis-dsp/cmsis-core/Include/cmsis_compiler.h deleted file mode 100644 index 9e2ca24..0000000 --- a/third_party/cmsis-dsp/cmsis-core/Include/cmsis_compiler.h +++ /dev/null @@ -1,220 +0,0 @@ -/* - * Copyright (c) 2009-2023 Arm Limited. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - * CMSIS Compiler Generic Header File - */ - -#ifndef __CMSIS_COMPILER_H -#define __CMSIS_COMPILER_H - -#include - -/* - * Arm Compiler above 6.10.1 (armclang) - */ -#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) - #include "cmsis_armclang.h" - - -/* - * TI Arm Clang Compiler (tiarmclang) - */ -#elif defined ( __clang__ ) && defined ( __ti__ ) - #if (__ti_version__ >= 40000) - #include "cmsis_clang.h" - #else - #error "TI Arm Clang Compiler (tiarmclang) version must be 4.00 or greater." - #endif - - -/* - * LLVM/Clang Compiler - */ -#elif defined ( __clang__ ) && !defined ( __ti__ ) - #include "cmsis_clang.h" - - -/* - * GNU Compiler - */ -#elif defined ( __GNUC__ ) - #include "cmsis_gcc.h" - - -/* - * IAR Compiler - */ -#elif defined ( __ICCARM__ ) - #include "cmsis_iccarm.h" - - -/* - * TASKING Compiler - */ -#elif defined ( __TASKING__ ) - /* - * The CMSIS functions have been implemented as intrinsics in the compiler. - * Please use "carm -?i" to get an up to date list of all intrinsics, - * Including the CMSIS ones. - */ - - #ifndef __ASM - #define __ASM __asm - #endif - #ifndef __INLINE - #define __INLINE inline - #endif - #ifndef __STATIC_INLINE - #define __STATIC_INLINE static inline - #endif - #ifndef __STATIC_FORCEINLINE - #define __STATIC_FORCEINLINE __STATIC_INLINE - #endif - #ifndef __NO_RETURN - #define __NO_RETURN __attribute__((noreturn)) - #endif - #ifndef __USED - #define __USED __attribute__((used)) - #endif - #ifndef __WEAK - #define __WEAK __attribute__((weak)) - #endif - #ifndef __PACKED - #define __PACKED __packed__ - #endif - #ifndef __PACKED_STRUCT - #define __PACKED_STRUCT struct __packed__ - #endif - #ifndef __PACKED_UNION - #define __PACKED_UNION union __packed__ - #endif - #ifndef __UNALIGNED_UINT16_WRITE - __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; - #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) - #endif - #ifndef __UNALIGNED_UINT16_READ - __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; - #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) - #endif - #ifndef __UNALIGNED_UINT32_WRITE - __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; - #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) - #endif - #ifndef __UNALIGNED_UINT32_READ - __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; - #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) - #endif - #ifndef __ALIGNED - #define __ALIGNED(x) __align(x) - #endif - #ifndef __RESTRICT - #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. - #define __RESTRICT - #endif - #ifndef __COMPILER_BARRIER - #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. - #define __COMPILER_BARRIER() (void)0 - #endif - #ifndef __NO_INIT - #define __NO_INIT __attribute__ ((section (".noinit"))) - #endif - #ifndef __ALIAS - #define __ALIAS(x) __attribute__ ((alias(x))) - #endif - -/* - * COSMIC Compiler - */ -#elif defined ( __CSMC__ ) - #include - - #ifndef __ASM - #define __ASM _asm - #endif - #ifndef __INLINE - #define __INLINE inline - #endif - #ifndef __STATIC_INLINE - #define __STATIC_INLINE static inline - #endif - #ifndef __STATIC_FORCEINLINE - #define __STATIC_FORCEINLINE __STATIC_INLINE - #endif - #ifndef __NO_RETURN - // NO RETURN is automatically detected hence no warning here - #define __NO_RETURN - #endif - #ifndef __USED - #warning No compiler specific solution for __USED. __USED is ignored. - #define __USED - #endif - #ifndef __WEAK - #define __WEAK __weak - #endif - #ifndef __PACKED - #define __PACKED @packed - #endif - #ifndef __PACKED_STRUCT - #define __PACKED_STRUCT @packed struct - #endif - #ifndef __PACKED_UNION - #define __PACKED_UNION @packed union - #endif - #ifndef __UNALIGNED_UINT16_WRITE - __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; - #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) - #endif - #ifndef __UNALIGNED_UINT16_READ - __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; - #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) - #endif - #ifndef __UNALIGNED_UINT32_WRITE - __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; - #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) - #endif - #ifndef __UNALIGNED_UINT32_READ - __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; - #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) - #endif - #ifndef __ALIGNED - #warning No compiler specific solution for __ALIGNED. __ALIGNED is ignored. - #define __ALIGNED(x) - #endif - #ifndef __RESTRICT - #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. - #define __RESTRICT - #endif - #ifndef __COMPILER_BARRIER - #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. - #define __COMPILER_BARRIER() (void)0 - #endif - #ifndef __NO_INIT - #define __NO_INIT __attribute__ ((section (".noinit"))) - #endif - #ifndef __ALIAS - #define __ALIAS(x) __attribute__ ((alias(x))) - #endif - -#else - #error Unknown compiler. -#endif - - -#endif /* __CMSIS_COMPILER_H */ - diff --git a/third_party/cmsis-dsp/cmsis-core/Include/cmsis_gcc.h b/third_party/cmsis-dsp/cmsis-core/Include/cmsis_gcc.h deleted file mode 100644 index 1511de6..0000000 --- a/third_party/cmsis-dsp/cmsis-core/Include/cmsis_gcc.h +++ /dev/null @@ -1,1024 +0,0 @@ -/**************************************************************************//** - * @file cmsis_gcc.h - * @brief CMSIS compiler GCC header file - * @version V6.0.0 - * @date 27. July 2024 - ******************************************************************************/ -/* - * Copyright (c) 2009-2023 Arm Limited. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#ifndef __CMSIS_GCC_H -#define __CMSIS_GCC_H - -#pragma GCC system_header /* treat file as system include file */ - -#include - -/* Fallback for __has_builtin */ -#ifndef __has_builtin - #define __has_builtin(x) (0) -#endif - -/* CMSIS compiler specific defines */ -#ifndef __ASM - #define __ASM __asm -#endif -#ifndef __INLINE - #define __INLINE inline -#endif -#ifndef __STATIC_INLINE - #define __STATIC_INLINE static inline -#endif -#ifndef __STATIC_FORCEINLINE - #define __STATIC_FORCEINLINE __attribute__((always_inline)) static inline -#endif -#ifndef __NO_RETURN - #define __NO_RETURN __attribute__((__noreturn__)) -#endif -#ifndef CMSIS_DEPRECATED - #define CMSIS_DEPRECATED __attribute__((deprecated)) -#endif -#ifndef __USED - #define __USED __attribute__((used)) -#endif -#ifndef __WEAK - #define __WEAK __attribute__((weak)) -#endif -#ifndef __PACKED - #define __PACKED __attribute__((packed, aligned(1))) -#endif -#ifndef __PACKED_STRUCT - #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) -#endif -#ifndef __PACKED_UNION - #define __PACKED_UNION union __attribute__((packed, aligned(1))) -#endif -#ifndef __UNALIGNED_UINT16_WRITE - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wpacked" - #pragma GCC diagnostic ignored "-Wattributes" - __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; - #pragma GCC diagnostic pop - #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) -#endif -#ifndef __UNALIGNED_UINT16_READ - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wpacked" - #pragma GCC diagnostic ignored "-Wattributes" - __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; - #pragma GCC diagnostic pop - #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) -#endif -#ifndef __UNALIGNED_UINT32_WRITE - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wpacked" - #pragma GCC diagnostic ignored "-Wattributes" - __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; - #pragma GCC diagnostic pop - #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) -#endif -#ifndef __UNALIGNED_UINT32_READ - #pragma GCC diagnostic push - #pragma GCC diagnostic ignored "-Wpacked" - #pragma GCC diagnostic ignored "-Wattributes" - __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; - #pragma GCC diagnostic pop - #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) -#endif -#ifndef __ALIGNED - #define __ALIGNED(x) __attribute__((aligned(x))) -#endif -#ifndef __RESTRICT - #define __RESTRICT __restrict -#endif -#ifndef __COMPILER_BARRIER - #define __COMPILER_BARRIER() __ASM volatile("":::"memory") -#endif -#ifndef __NO_INIT - #define __NO_INIT __attribute__ ((section (".noinit"))) -#endif -#ifndef __ALIAS - #define __ALIAS(x) __attribute__ ((alias(x))) -#endif - -/* ########################## Core Instruction Access ######################### */ -/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface - Access to dedicated instructions - @{ -*/ - -/* Define macros for porting to both thumb1 and thumb2. - * For thumb1, use low register (r0-r7), specified by constraint "l" - * Otherwise, use general registers, specified by constraint "r" */ -#if defined (__thumb__) && !defined (__thumb2__) -#define __CMSIS_GCC_OUT_REG(r) "=l" (r) -#define __CMSIS_GCC_RW_REG(r) "+l" (r) -#define __CMSIS_GCC_USE_REG(r) "l" (r) -#else -#define __CMSIS_GCC_OUT_REG(r) "=r" (r) -#define __CMSIS_GCC_RW_REG(r) "+r" (r) -#define __CMSIS_GCC_USE_REG(r) "r" (r) -#endif - -/** - \brief No Operation - \details No Operation does nothing. This instruction can be used for code alignment purposes. - */ -#define __NOP() __ASM volatile ("nop") - - -/** - \brief Wait For Interrupt - \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. - */ -#define __WFI() __ASM volatile ("wfi":::"memory") - - -/** - \brief Wait For Event - \details Wait For Event is a hint instruction that permits the processor to enter - a low-power state until one of a number of events occurs. - */ -#define __WFE() __ASM volatile ("wfe":::"memory") - - -/** - \brief Send Event - \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. - */ -#define __SEV() __ASM volatile ("sev") - - -/** - \brief Instruction Synchronization Barrier - \details Instruction Synchronization Barrier flushes the pipeline in the processor, - so that all instructions following the ISB are fetched from cache or memory, - after the instruction has been completed. - */ -__STATIC_FORCEINLINE void __ISB(void) -{ - __ASM volatile ("isb 0xF":::"memory"); -} - - -/** - \brief Data Synchronization Barrier - \details Acts as a special kind of Data Memory Barrier. - It completes when all explicit memory accesses before this instruction complete. - */ -__STATIC_FORCEINLINE void __DSB(void) -{ - __ASM volatile ("dsb 0xF":::"memory"); -} - - -/** - \brief Data Memory Barrier - \details Ensures the apparent order of the explicit memory operations before - and after the instruction, without ensuring their completion. - */ -__STATIC_FORCEINLINE void __DMB(void) -{ - __ASM volatile ("dmb 0xF":::"memory"); -} - - -/** - \brief Reverse byte order (32 bit) - \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. - \param [in] value Value to reverse - \return Reversed value - */ -__STATIC_FORCEINLINE uint32_t __REV(uint32_t value) -{ - return __builtin_bswap32(value); -} - - -/** - \brief Reverse byte order (16 bit) - \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. - \param [in] value Value to reverse - \return Reversed value - */ -__STATIC_FORCEINLINE uint32_t __REV16(uint32_t value) -{ - uint32_t result; - - __ASM ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); - return (result); -} - - -/** - \brief Reverse byte order (16 bit) - \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. - \param [in] value Value to reverse - \return Reversed value - */ -__STATIC_FORCEINLINE int16_t __REVSH(int16_t value) -{ - return (int16_t)__builtin_bswap16(value); -} - - -/** - \brief Rotate Right in unsigned value (32 bit) - \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. - \param [in] op1 Value to rotate - \param [in] op2 Number of Bits to rotate - \return Rotated value - */ -__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) -{ - op2 %= 32U; - if (op2 == 0U) - { - return op1; - } - return (op1 >> op2) | (op1 << (32U - op2)); -} - - -/** - \brief Breakpoint - \details Causes the processor to enter Debug state. - Debug tools can use this to investigate system state when the instruction at a particular address is reached. - \param [in] value is ignored by the processor. - If required, a debugger can use it to store additional information about the breakpoint. - */ -#define __BKPT(value) __ASM volatile ("bkpt "#value) - - -/** - \brief Reverse bit order of value - \details Reverses the bit order of the given value. - \param [in] value Value to reverse - \return Reversed value - */ -__STATIC_FORCEINLINE uint32_t __RBIT(uint32_t value) -{ - uint32_t result; - -#if (__ARM_ARCH_ISA_THUMB >= 2) - __ASM ("rbit %0, %1" : "=r" (result) : "r" (value) ); -#else - uint32_t s = (4U /*sizeof(v)*/ * 8U) - 1U; /* extra shift needed at end */ - - result = value; /* r will be reversed bits of v; first get LSB of v */ - for (value >>= 1U; value != 0U; value >>= 1U) - { - result <<= 1U; - result |= value & 1U; - s--; - } - result <<= s; /* shift when v's highest bits are zero */ -#endif - return (result); -} - - -/** - \brief Count leading zeros - \details Counts the number of leading zeros of a data value. - \param [in] value Value to count the leading zeros - \return number of leading zeros in value - */ -__STATIC_FORCEINLINE uint8_t __CLZ(uint32_t value) -{ - /* Even though __builtin_clz produces a CLZ instruction on ARM, formally - __builtin_clz(0) is undefined behaviour, so handle this case specially. - This guarantees ARM-compatible results if happening to compile on a non-ARM - target, and ensures the compiler doesn't decide to activate any - optimisations using the logic "value was passed to __builtin_clz, so it - is non-zero". - ARM GCC 7.3 and possibly earlier will optimise this test away, leaving a - single CLZ instruction. - */ - if (value == 0U) - { - return 32U; - } - return __builtin_clz(value); -} - - -#if (__ARM_FEATURE_SAT >= 1) -/** - \brief Signed Saturate - \details Saturates a signed value. - \param [in] value Value to be saturated - \param [in] sat Bit position to saturate to (1..32) - \return Saturated value - */ -#define __SSAT(value, sat) __ssat(value, sat) - - -/** - \brief Unsigned Saturate - \details Saturates an unsigned value. - \param [in] value Value to be saturated - \param [in] sat Bit position to saturate to (0..31) - \return Saturated value - */ -#define __USAT(value, sat) __usat(value, sat) - -#else /* (__ARM_FEATURE_SAT >= 1) */ -/** - \brief Signed Saturate - \details Saturates a signed value. - \param [in] value Value to be saturated - \param [in] sat Bit position to saturate to (1..32) - \return Saturated value - */ -__STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) -{ - if ((sat >= 1U) && (sat <= 32U)) - { - const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); - const int32_t min = -1 - max ; - if (val > max) - { - return (max); - } - else if (val < min) - { - return (min); - } - } - return (val); -} - - -/** - \brief Unsigned Saturate - \details Saturates an unsigned value. - \param [in] value Value to be saturated - \param [in] sat Bit position to saturate to (0..31) - \return Saturated value - */ -__STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) -{ - if (sat <= 31U) - { - const uint32_t max = ((1U << sat) - 1U); - if (val > (int32_t)max) - { - return (max); - } - else if (val < 0) - { - return (0U); - } - } - return ((uint32_t)val); -} -#endif /* (__ARM_FEATURE_SAT >= 1) */ - - -#if (__ARM_FEATURE_LDREX >= 1) -/** - \brief Remove the exclusive lock - \details Removes the exclusive lock which is created by LDREX. - */ -__STATIC_FORCEINLINE void __CLREX(void) -{ - __ASM volatile ("clrex" ::: "memory"); -} - - -/** - \brief LDR Exclusive (8 bit) - \details Executes a exclusive LDR instruction for 8 bit value. - \param [in] ptr Pointer to data - \return value of type uint8_t at (*ptr) - */ -__STATIC_FORCEINLINE uint8_t __LDREXB(volatile uint8_t *addr) -{ - uint32_t result; - - __ASM volatile ("ldrexb %0, %1" : "=r" (result) : "Q" (*addr) ); - return ((uint8_t) result); /* Add explicit type cast here */ -} - - -/** - \brief STR Exclusive (8 bit) - \details Executes a exclusive STR instruction for 8 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr) -{ - uint32_t result; - - __ASM volatile ("strexb %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); - return (result); -} -#endif /* (__ARM_FEATURE_LDREX >= 1) */ - - -#if (__ARM_FEATURE_LDREX >= 2) -/** - \brief LDR Exclusive (16 bit) - \details Executes a exclusive LDR instruction for 16 bit values. - \param [in] ptr Pointer to data - \return value of type uint16_t at (*ptr) - */ -__STATIC_FORCEINLINE uint16_t __LDREXH(volatile uint16_t *addr) -{ - uint32_t result; - - __ASM volatile ("ldrexh %0, %1" : "=r" (result) : "Q" (*addr) ); - return ((uint16_t)result); /* Add explicit type cast here */ -} - - -/** - \brief STR Exclusive (16 bit) - \details Executes a exclusive STR instruction for 16 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr) -{ - uint32_t result; - - __ASM volatile ("strexh %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); - return (result); -} -#endif /* (__ARM_FEATURE_LDREX >= 2) */ - - -#if (__ARM_FEATURE_LDREX >= 4) -/** - \brief LDR Exclusive (32 bit) - \details Executes a exclusive LDR instruction for 32 bit values. - \param [in] ptr Pointer to data - \return value of type uint32_t at (*ptr) - */ -__STATIC_FORCEINLINE uint32_t __LDREXW(volatile uint32_t *addr) -{ - uint32_t result; - - __ASM volatile ("ldrex %0, %1" : "=r" (result) : "Q" (*addr) ); - return (result); -} - - -/** - \brief STR Exclusive (32 bit) - \details Executes a exclusive STR instruction for 32 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr) -{ - uint32_t result; - - __ASM volatile ("strex %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" (value) ); - return (result); -} -#endif /* (__ARM_FEATURE_LDREX >= 4) */ - - -#if (__ARM_ARCH_ISA_THUMB >= 2) -/** - \brief Rotate Right with Extend (32 bit) - \details Moves each bit of a bitstring right by one bit. - The carry input is shifted in at the left end of the bitstring. - \param [in] value Value to rotate - \return Rotated value - */ -__STATIC_FORCEINLINE uint32_t __RRX(uint32_t value) -{ - uint32_t result; - - __ASM volatile ("rrx %0, %1" : "=r" (result) : "r" (value)); - return (result); -} - - -/** - \brief LDRT Unprivileged (8 bit) - \details Executes a Unprivileged LDRT instruction for 8 bit value. - \param [in] ptr Pointer to data - \return value of type uint8_t at (*ptr) - */ -__STATIC_FORCEINLINE uint8_t __LDRBT(volatile uint8_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) ); - return ((uint8_t)result); /* Add explicit type cast here */ -} - - -/** - \brief LDRT Unprivileged (16 bit) - \details Executes a Unprivileged LDRT instruction for 16 bit values. - \param [in] ptr Pointer to data - \return value of type uint16_t at (*ptr) - */ -__STATIC_FORCEINLINE uint16_t __LDRHT(volatile uint16_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) ); - return ((uint16_t)result); /* Add explicit type cast here */ -} - - -/** - \brief LDRT Unprivileged (32 bit) - \details Executes a Unprivileged LDRT instruction for 32 bit values. - \param [in] ptr Pointer to data - \return value of type uint32_t at (*ptr) - */ -__STATIC_FORCEINLINE uint32_t __LDRT(volatile uint32_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) ); - return (result); -} - - -/** - \brief STRT Unprivileged (8 bit) - \details Executes a Unprivileged STRT instruction for 8 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STRBT(uint8_t value, volatile uint8_t *ptr) -{ - __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); -} - - -/** - \brief STRT Unprivileged (16 bit) - \details Executes a Unprivileged STRT instruction for 16 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STRHT(uint16_t value, volatile uint16_t *ptr) -{ - __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); -} - - -/** - \brief STRT Unprivileged (32 bit) - \details Executes a Unprivileged STRT instruction for 32 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STRT(uint32_t value, volatile uint32_t *ptr) -{ - __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) ); -} -#endif /* (__ARM_ARCH_ISA_THUMB >= 2) */ - - -#if (__ARM_ARCH >= 8) -/** - \brief Load-Acquire (8 bit) - \details Executes a LDAB instruction for 8 bit value. - \param [in] ptr Pointer to data - \return value of type uint8_t at (*ptr) - */ -__STATIC_FORCEINLINE uint8_t __LDAB(volatile uint8_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return ((uint8_t)result); /* Add explicit type cast here */ -} - - -/** - \brief Load-Acquire (16 bit) - \details Executes a LDAH instruction for 16 bit values. - \param [in] ptr Pointer to data - \return value of type uint16_t at (*ptr) - */ -__STATIC_FORCEINLINE uint16_t __LDAH(volatile uint16_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return ((uint16_t)result); /* Add explicit type cast here */ -} - - -/** - \brief Load-Acquire (32 bit) - \details Executes a LDA instruction for 32 bit values. - \param [in] ptr Pointer to data - \return value of type uint32_t at (*ptr) - */ -__STATIC_FORCEINLINE uint32_t __LDA(volatile uint32_t *ptr) -{ - uint32_t result; - - __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return (result); -} - - -/** - \brief Store-Release (8 bit) - \details Executes a STLB instruction for 8 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STLB(uint8_t value, volatile uint8_t *ptr) -{ - __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); -} - - -/** - \brief Store-Release (16 bit) - \details Executes a STLH instruction for 16 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STLH(uint16_t value, volatile uint16_t *ptr) -{ - __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); -} - - -/** - \brief Store-Release (32 bit) - \details Executes a STL instruction for 32 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - */ -__STATIC_FORCEINLINE void __STL(uint32_t value, volatile uint32_t *ptr) -{ - __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); -} - - -/** - \brief Load-Acquire Exclusive (8 bit) - \details Executes a LDAB exclusive instruction for 8 bit value. - \param [in] ptr Pointer to data - \return value of type uint8_t at (*ptr) - */ -__STATIC_FORCEINLINE uint8_t __LDAEXB(volatile uint8_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldaexb %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return ((uint8_t)result); /* Add explicit type cast here */ -} - - -/** - \brief Load-Acquire Exclusive (16 bit) - \details Executes a LDAH exclusive instruction for 16 bit values. - \param [in] ptr Pointer to data - \return value of type uint16_t at (*ptr) - */ -__STATIC_FORCEINLINE uint16_t __LDAEXH(volatile uint16_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldaexh %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return ((uint16_t)result); /* Add explicit type cast here */ -} - - -/** - \brief Load-Acquire Exclusive (32 bit) - \details Executes a LDA exclusive instruction for 32 bit values. - \param [in] ptr Pointer to data - \return value of type uint32_t at (*ptr) - */ -__STATIC_FORCEINLINE uint32_t __LDAEX(volatile uint32_t *ptr) -{ - uint32_t result; - - __ASM volatile ("ldaex %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); - return (result); -} - - -/** - \brief Store-Release Exclusive (8 bit) - \details Executes a STLB exclusive instruction for 8 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STLEXB(uint8_t value, volatile uint8_t *ptr) -{ - uint32_t result; - - __ASM volatile ("stlexb %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); - return (result); -} - - -/** - \brief Store-Release Exclusive (16 bit) - \details Executes a STLH exclusive instruction for 16 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STLEXH(uint16_t value, volatile uint16_t *ptr) -{ - uint32_t result; - - __ASM volatile ("stlexh %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); - return (result); -} - - -/** - \brief Store-Release Exclusive (32 bit) - \details Executes a STL exclusive instruction for 32 bit values. - \param [in] value Value to store - \param [in] ptr Pointer to location - \return 0 Function succeeded - \return 1 Function failed - */ -__STATIC_FORCEINLINE uint32_t __STLEX(uint32_t value, volatile uint32_t *ptr) -{ - uint32_t result; - - __ASM volatile ("stlex %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); - return (result); -} - -#endif /* (__ARM_ARCH >= 8) */ - -/** @}*/ /* end of group CMSIS_Core_InstructionInterface */ - - -/* ########################### Core Function Access ########################### */ -/** \ingroup CMSIS_Core_FunctionInterface - \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions - @{ - */ - -/** - \brief Enable IRQ Interrupts - \details Enables IRQ interrupts by clearing special-purpose register PRIMASK. - Can only be executed in Privileged modes. - */ -__STATIC_FORCEINLINE void __enable_irq(void) -{ - #if defined __aarch64__ - __ASM volatile ("msr daifclr, #2" : : : "memory"); - #else - __ASM volatile ("cpsie i" : : : "memory"); - #endif -} - - -/** - \brief Disable IRQ Interrupts - \details Disables IRQ interrupts by setting special-purpose register PRIMASK. - Can only be executed in Privileged modes. - */ -__STATIC_FORCEINLINE void __disable_irq(void) -{ - #if defined __aarch64__ - __ASM volatile ("msr daifset, #2" : : : "memory"); - #else - __ASM volatile ("cpsid i" : : : "memory"); - #endif -} - -#if (__ARM_ARCH_ISA_THUMB >= 2) - /** - \brief Enable FIQ - \details Enables FIQ interrupts by clearing special-purpose register FAULTMASK. - Can only be executed in Privileged modes. - */ - __STATIC_FORCEINLINE void __enable_fault_irq(void) - { - __ASM volatile ("cpsie f" : : : "memory"); - } - - - /** - \brief Disable FIQ - \details Disables FIQ interrupts by setting special-purpose register FAULTMASK. - Can only be executed in Privileged modes. - */ - __STATIC_FORCEINLINE void __disable_fault_irq(void) - { - __ASM volatile ("cpsid f" : : : "memory"); - } -#endif - - -/** - \brief Get FPSCR - \details Returns the current value of the Floating Point Status/Control register. - \return Floating Point Status/Control register value - */ -__STATIC_FORCEINLINE uint32_t __get_FPSCR(void) -{ -#if (defined(__ARM_FP) && (__ARM_FP >= 1)) - #if __has_builtin(__builtin_arm_get_fpscr) - return (__builtin_arm_get_fpscr()); - #else - uint32_t result; - __ASM volatile ("VMRS %0, fpscr" : "=r" (result) ); - return(result); - #endif -#else - return (0U); -#endif -} - - -/** - \brief Set FPSCR - \details Assigns the given value to the Floating Point Status/Control register. - \param [in] fpscr Floating Point Status/Control value to set - */ -__STATIC_FORCEINLINE void __set_FPSCR(uint32_t fpscr) -{ -#if (defined(__ARM_FP) && (__ARM_FP >= 1)) - #if __has_builtin(__builtin_arm_set_fpscr) - __builtin_arm_set_fpscr(fpscr); - #else - __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc", "memory"); - #endif -#else - (void)fpscr; -#endif -} - - -/** @} end of CMSIS_Core_RegAccFunctions */ - - -/* ################### Compiler specific Intrinsics ########################### */ -/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics - Access to dedicated SIMD instructions - @{ -*/ - -#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) - #define __SADD8 __sadd8 - #define __QADD8 __qadd8 - #define __SHADD8 __shadd8 - #define __UADD8 __uadd8 - #define __UQADD8 __uqadd8 - #define __UHADD8 __uhadd8 - #define __SSUB8 __ssub8 - #define __QSUB8 __qsub8 - #define __SHSUB8 __shsub8 - #define __USUB8 __usub8 - #define __UQSUB8 __uqsub8 - #define __UHSUB8 __uhsub8 - #define __SADD16 __sadd16 - #define __QADD16 __qadd16 - #define __SHADD16 __shadd16 - #define __UADD16 __uadd16 - #define __UQADD16 __uqadd16 - #define __UHADD16 __uhadd16 - #define __SSUB16 __ssub16 - #define __QSUB16 __qsub16 - #define __SHSUB16 __shsub16 - #define __USUB16 __usub16 - #define __UQSUB16 __uqsub16 - #define __UHSUB16 __uhsub16 - #define __SASX __sasx - #define __QASX __qasx - #define __SHASX __shasx - #define __UASX __uasx - #define __UQASX __uqasx - #define __UHASX __uhasx - #define __SSAX __ssax - #define __QSAX __qsax - #define __SHSAX __shsax - #define __USAX __usax - #define __UQSAX __uqsax - #define __UHSAX __uhsax - #define __USAD8 __usad8 - #define __USADA8 __usada8 - #define __SSAT16 __ssat16 - #define __USAT16 __usat16 - #define __UXTB16 __uxtb16 - #define __UXTAB16 __uxtab16 - #define __SXTB16 __sxtb16 - #define __SXTAB16 __sxtab16 - #define __SMUAD __smuad - #define __SMUADX __smuadx - #define __SMLAD __smlad - #define __SMLADX __smladx - #define __SMLALD __smlald - #define __SMLALDX __smlaldx - #define __SMUSD __smusd - #define __SMUSDX __smusdx - #define __SMLSD __smlsd - #define __SMLSDX __smlsdx - #define __SMLSLD __smlsld - #define __SMLSLDX __smlsldx - #define __SEL __sel - #define __QADD __qadd - #define __QSUB __qsub - - #define __PKHBT(ARG1,ARG2,ARG3) \ - __extension__ \ - ({ \ - uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ - __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ - __RES; \ - }) - - #define __PKHTB(ARG1,ARG2,ARG3) \ - __extension__ \ - ({ \ - uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ - if (ARG3 == 0) \ - __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2) ); \ - else \ - __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ - __RES; \ - }) - - __STATIC_FORCEINLINE uint32_t __SXTB16_RORn(uint32_t op1, uint32_t rotate) - { - uint32_t result; - if (__builtin_constant_p(rotate) && ((rotate == 8U) || (rotate == 16U) || (rotate == 24U))) - { - __ASM volatile("sxtb16 %0, %1, ROR %2" : "=r"(result) : "r"(op1), "i"(rotate)); - } - else - { - result = __SXTB16(__ROR(op1, rotate)); - } - return result; - } - - __STATIC_FORCEINLINE uint32_t __SXTAB16_RORn(uint32_t op1, uint32_t op2, uint32_t rotate) - { - uint32_t result; - if (__builtin_constant_p(rotate) && ((rotate == 8U) || (rotate == 16U) || (rotate == 24U))) - { - __ASM volatile("sxtab16 %0, %1, %2, ROR %3" : "=r"(result) : "r"(op1), "r"(op2), "i"(rotate)); - } - else - { - result = __SXTAB16(op1, __ROR(op2, rotate)); - } - return result; - } - - __STATIC_FORCEINLINE int32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3) - { - int32_t result; - - __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r" (op1), "r" (op2), "r" (op3) ); - return (result); - } -#endif /* (__ARM_FEATURE_DSP == 1) */ -/** @} end of group CMSIS_SIMD_intrinsics */ - -// Include the profile specific settings: -#if __ARM_ARCH_PROFILE == 'A' - #include "a-profile/cmsis_gcc_a.h" -#elif __ARM_ARCH_PROFILE == 'R' - #include "r-profile/cmsis_gcc_r.h" -#elif __ARM_ARCH_PROFILE == 'M' - #include "m-profile/cmsis_gcc_m.h" -#else - #error "Unknown Arm architecture profile" -#endif - -#endif /* __CMSIS_GCC_H */ diff --git a/third_party/cmsis-dsp/cmsis-core/Include/m-profile/cmsis_gcc_m.h b/third_party/cmsis-dsp/cmsis-core/Include/m-profile/cmsis_gcc_m.h deleted file mode 100644 index a0ac310..0000000 --- a/third_party/cmsis-dsp/cmsis-core/Include/m-profile/cmsis_gcc_m.h +++ /dev/null @@ -1,720 +0,0 @@ -/* - * Copyright (c) 2009-2023 Arm Limited. All rights reserved. - * - * SPDX-License-Identifier: Apache-2.0 - * - * Licensed under the Apache License, Version 2.0 (the License); you may - * not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an AS IS BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - * CMSIS-Core(M) Compiler GCC Header File - */ - -#ifndef __CMSIS_GCC_M_H -#define __CMSIS_GCC_M_H - -#ifndef __CMSIS_GCC_H - #error "This file must not be included directly" -#endif - -#include - -#if defined(__PICOLIBC__) && !defined(__PROGRAM_START) -#define __PROGRAM_START _start -#endif - -/* ######################### Startup and Lowlevel Init ######################## */ -#ifndef __PROGRAM_START - -/** - \brief Initializes data and bss sections - \details This default implementations initialized all data and additional bss - sections relying on .copy.table and .zero.table specified properly - in the used linker script. - - */ -__STATIC_FORCEINLINE __NO_RETURN void __cmsis_start(void) -{ - extern void _start(void) __NO_RETURN; - - typedef struct __copy_table { - uint32_t const* src; - uint32_t* dest; - uint32_t wlen; - } __copy_table_t; - - typedef struct __zero_table { - uint32_t* dest; - uint32_t wlen; - } __zero_table_t; - - extern const __copy_table_t __copy_table_start__; - extern const __copy_table_t __copy_table_end__; - extern const __zero_table_t __zero_table_start__; - extern const __zero_table_t __zero_table_end__; - - for (__copy_table_t const* pTable = &__copy_table_start__; pTable < &__copy_table_end__; ++pTable) { - for(uint32_t i=0u; iwlen; ++i) { - pTable->dest[i] = pTable->src[i]; - } - } - - for (__zero_table_t const* pTable = &__zero_table_start__; pTable < &__zero_table_end__; ++pTable) { - for(uint32_t i=0u; iwlen; ++i) { - pTable->dest[i] = 0u; - } - } - - _start(); -} - -#define __PROGRAM_START __cmsis_start -#endif - -#ifndef __INITIAL_SP -#define __INITIAL_SP __StackTop -#endif - -#ifndef __STACK_LIMIT -#define __STACK_LIMIT __StackLimit -#endif - -#ifndef __VECTOR_TABLE -#define __VECTOR_TABLE __Vectors -#endif - -#ifndef __VECTOR_TABLE_ATTRIBUTE -#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section(".vectors"))) -#endif - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -#ifndef __STACK_SEAL -#define __STACK_SEAL __StackSeal -#endif - -#ifndef __TZ_STACK_SEAL_SIZE -#define __TZ_STACK_SEAL_SIZE 8U -#endif - -#ifndef __TZ_STACK_SEAL_VALUE -#define __TZ_STACK_SEAL_VALUE 0xFEF5EDA5FEF5EDA5ULL -#endif - -__STATIC_FORCEINLINE void __TZ_set_STACKSEAL_S (uint32_t* stackTop) -{ - *((uint64_t *)stackTop) = __TZ_STACK_SEAL_VALUE; -} -#endif - - -/* ########################### Core Function Access ########################### */ -/** \ingroup CMSIS_Core_FunctionInterface - \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions - @{ - */ - -/** - \brief Get Control Register - \details Returns the content of the Control Register. - \return Control Register value - */ -__STATIC_FORCEINLINE uint32_t __get_CONTROL(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, control" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Control Register (non-secure) - \details Returns the content of the non-secure Control Register when in secure mode. - \return non-secure Control Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_CONTROL_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, control_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Control Register - \details Writes the given value to the Control Register. - \param [in] control Control Register value to set - */ -__STATIC_FORCEINLINE void __set_CONTROL(uint32_t control) -{ - __ASM volatile ("MSR control, %0" : : "r" (control) : "memory"); - __ISB(); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Control Register (non-secure) - \details Writes the given value to the non-secure Control Register when in secure state. - \param [in] control Control Register value to set - */ -__STATIC_FORCEINLINE void __TZ_set_CONTROL_NS(uint32_t control) -{ - __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory"); - __ISB(); -} -#endif - - -/** - \brief Get IPSR Register - \details Returns the content of the IPSR Register. - \return IPSR Register value - */ -__STATIC_FORCEINLINE uint32_t __get_IPSR(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, ipsr" : "=r" (result) ); - return (result); -} - - -/** - \brief Get APSR Register - \details Returns the content of the APSR Register. - \return APSR Register value - */ -__STATIC_FORCEINLINE uint32_t __get_APSR(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, apsr" : "=r" (result) ); - return (result); -} - - -/** - \brief Get xPSR Register - \details Returns the content of the xPSR Register. - \return xPSR Register value - */ -__STATIC_FORCEINLINE uint32_t __get_xPSR(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, xpsr" : "=r" (result) ); - return (result); -} - - -/** - \brief Get Process Stack Pointer - \details Returns the current value of the Process Stack Pointer (PSP). - \return PSP Register value - */ -__STATIC_FORCEINLINE uint32_t __get_PSP(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, psp" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Process Stack Pointer (non-secure) - \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state. - \return PSP Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_PSP_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, psp_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Process Stack Pointer - \details Assigns the given value to the Process Stack Pointer (PSP). - \param [in] topOfProcStack Process Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __set_PSP(uint32_t topOfProcStack) -{ - __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : ); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Process Stack Pointer (non-secure) - \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state. - \param [in] topOfProcStack Process Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack) -{ - __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : ); -} -#endif - - -/** - \brief Get Main Stack Pointer - \details Returns the current value of the Main Stack Pointer (MSP). - \return MSP Register value - */ -__STATIC_FORCEINLINE uint32_t __get_MSP(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, msp" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Main Stack Pointer (non-secure) - \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state. - \return MSP Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_MSP_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, msp_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Main Stack Pointer - \details Assigns the given value to the Main Stack Pointer (MSP). - \param [in] topOfMainStack Main Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __set_MSP(uint32_t topOfMainStack) -{ - __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : ); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Main Stack Pointer (non-secure) - \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state. - \param [in] topOfMainStack Main Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack) -{ - __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : ); -} -#endif - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Stack Pointer (non-secure) - \details Returns the current value of the non-secure Stack Pointer (SP) when in secure state. - \return SP Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_SP_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, sp_ns" : "=r" (result) ); - return (result); -} - - -/** - \brief Set Stack Pointer (non-secure) - \details Assigns the given value to the non-secure Stack Pointer (SP) when in secure state. - \param [in] topOfStack Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __TZ_set_SP_NS(uint32_t topOfStack) -{ - __ASM volatile ("MSR sp_ns, %0" : : "r" (topOfStack) : ); -} -#endif - - -/** - \brief Get Priority Mask - \details Returns the current state of the priority mask bit from the Priority Mask Register. - \return Priority Mask value - */ -__STATIC_FORCEINLINE uint32_t __get_PRIMASK(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, primask" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Priority Mask (non-secure) - \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state. - \return Priority Mask value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_PRIMASK_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, primask_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Priority Mask - \details Assigns the given value to the Priority Mask Register. - \param [in] priMask Priority Mask - */ -__STATIC_FORCEINLINE void __set_PRIMASK(uint32_t priMask) -{ - __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory"); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Priority Mask (non-secure) - \details Assigns the given value to the non-secure Priority Mask Register when in secure state. - \param [in] priMask Priority Mask - */ -__STATIC_FORCEINLINE void __TZ_set_PRIMASK_NS(uint32_t priMask) -{ - __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory"); -} -#endif - - -#if (__ARM_ARCH_ISA_THUMB >= 2) -/** - \brief Get Base Priority - \details Returns the current value of the Base Priority register. - \return Base Priority register value - */ -__STATIC_FORCEINLINE uint32_t __get_BASEPRI(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, basepri" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Base Priority (non-secure) - \details Returns the current value of the non-secure Base Priority register when in secure state. - \return Base Priority register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_BASEPRI_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Base Priority - \details Assigns the given value to the Base Priority register. - \param [in] basePri Base Priority value to set - */ -__STATIC_FORCEINLINE void __set_BASEPRI(uint32_t basePri) -{ - __ASM volatile ("MSR basepri, %0" : : "r" (basePri) : "memory"); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Base Priority (non-secure) - \details Assigns the given value to the non-secure Base Priority register when in secure state. - \param [in] basePri Base Priority value to set - */ -__STATIC_FORCEINLINE void __TZ_set_BASEPRI_NS(uint32_t basePri) -{ - __ASM volatile ("MSR basepri_ns, %0" : : "r" (basePri) : "memory"); -} -#endif - - -/** - \brief Set Base Priority with condition - \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, - or the new value increases the BASEPRI priority level. - \param [in] basePri Base Priority value to set - */ -__STATIC_FORCEINLINE void __set_BASEPRI_MAX(uint32_t basePri) -{ - __ASM volatile ("MSR basepri_max, %0" : : "r" (basePri) : "memory"); -} - - -/** - \brief Get Fault Mask - \details Returns the current value of the Fault Mask register. - \return Fault Mask register value - */ -__STATIC_FORCEINLINE uint32_t __get_FAULTMASK(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, faultmask" : "=r" (result) ); - return (result); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Fault Mask (non-secure) - \details Returns the current value of the non-secure Fault Mask register when in secure state. - \return Fault Mask register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_FAULTMASK_NS(void) -{ - uint32_t result; - - __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) ); - return (result); -} -#endif - - -/** - \brief Set Fault Mask - \details Assigns the given value to the Fault Mask register. - \param [in] faultMask Fault Mask value to set - */ -__STATIC_FORCEINLINE void __set_FAULTMASK(uint32_t faultMask) -{ - __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory"); -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Fault Mask (non-secure) - \details Assigns the given value to the non-secure Fault Mask register when in secure state. - \param [in] faultMask Fault Mask value to set - */ -__STATIC_FORCEINLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask) -{ - __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory"); -} -#endif - -#endif /* (__ARM_ARCH_ISA_THUMB >= 2) */ - - -#if (__ARM_ARCH >= 8) -/** - \brief Get Process Stack Pointer Limit - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence zero is returned always in non-secure - mode. - - \details Returns the current value of the Process Stack Pointer Limit (PSPLIM). - \return PSPLIM Register value - */ -__STATIC_FORCEINLINE uint32_t __get_PSPLIM(void) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) && \ - (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) - /* without main extensions, the non-secure PSPLIM is RAZ/WI */ - return (0U); -#else - uint32_t result; - __ASM volatile ("MRS %0, psplim" : "=r" (result) ); - return (result); -#endif -} - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Process Stack Pointer Limit (non-secure) - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence zero is returned always. - - \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. - \return PSPLIM Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_PSPLIM_NS(void) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1))) - /* without main extensions, the non-secure PSPLIM is RAZ/WI */ - return (0U); -#else - uint32_t result; - __ASM volatile ("MRS %0, psplim_ns" : "=r" (result) ); - return (result); -#endif -} -#endif - - -/** - \brief Set Process Stack Pointer Limit - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence the write is silently ignored in non-secure - mode. - - \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM). - \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set - */ -__STATIC_FORCEINLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) && \ - (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) - /* without main extensions, the non-secure PSPLIM is RAZ/WI */ - (void)ProcStackPtrLimit; -#else - __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit)); -#endif -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Process Stack Pointer (non-secure) - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence the write is silently ignored. - - \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. - \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set - */ -__STATIC_FORCEINLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1))) - /* without main extensions, the non-secure PSPLIM is RAZ/WI */ - (void)ProcStackPtrLimit; -#else - __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit)); -#endif -} -#endif - - -/** - \brief Get Main Stack Pointer Limit - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence zero is returned always. - - \details Returns the current value of the Main Stack Pointer Limit (MSPLIM). - \return MSPLIM Register value - */ -__STATIC_FORCEINLINE uint32_t __get_MSPLIM(void) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) && \ - (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) - /* without main extensions, the non-secure MSPLIM is RAZ/WI */ - return (0U); -#else - uint32_t result; - __ASM volatile ("MRS %0, msplim" : "=r" (result) ); - return (result); -#endif -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Get Main Stack Pointer Limit (non-secure) - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence zero is returned always. - - \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state. - \return MSPLIM Register value - */ -__STATIC_FORCEINLINE uint32_t __TZ_get_MSPLIM_NS(void) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1))) - /* without main extensions, the non-secure MSPLIM is RAZ/WI */ - return (0U); -#else - uint32_t result; - __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) ); - return (result); -#endif -} -#endif - - -/** - \brief Set Main Stack Pointer Limit - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence the write is silently ignored. - - \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM). - \param [in] MainStackPtrLimit Main Stack Pointer Limit value to set - */ -__STATIC_FORCEINLINE void __set_MSPLIM(uint32_t MainStackPtrLimit) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) && \ - (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) - /* without main extensions, the non-secure MSPLIM is RAZ/WI */ - (void)MainStackPtrLimit; -#else - __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit)); -#endif -} - - -#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3) -/** - \brief Set Main Stack Pointer Limit (non-secure) - Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure - Stack Pointer Limit register hence the write is silently ignored. - - \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state. - \param [in] MainStackPtrLimit Main Stack Pointer value to set - */ -__STATIC_FORCEINLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit) -{ -#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ - !(defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1))) - /* without main extensions, the non-secure MSPLIM is RAZ/WI */ - (void)MainStackPtrLimit; -#else - __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit)); -#endif -} -#endif - -#endif /* (__ARM_ARCH >= 8) */ -/** @} end of CMSIS_Core_RegAccFunctions */ - -#endif /* __CMSIS_GCC_M_H */ diff --git a/third_party/ooura/fftsg.c b/third_party/ooura/fftsg.c deleted file mode 100644 index 887f747..0000000 --- a/third_party/ooura/fftsg.c +++ /dev/null @@ -1,3325 +0,0 @@ -/* -Copyright(C) 1996-2001 Takuya OOURA - email: ooura@mmm.t.u-tokyo.ac.jp - download: http://momonga.t.u-tokyo.ac.jp/~ooura/fft.html - You may use, copy, modify this code for any purpose and - without fee. You may distribute this ORIGINAL package. - -This file (fftsg.c, the split-radix "Fast Version III") is vendored from -Ooura's General Purpose FFT Package; see readme.txt in this directory for the -full package description and license. Only this single source file is bundled. -*/ - -/* -Fast Fourier/Cosine/Sine Transform - dimension :one - data length :power of 2 - decimation :frequency - radix :split-radix - data :inplace - table :use -functions - cdft: Complex Discrete Fourier Transform - rdft: Real Discrete Fourier Transform - ddct: Discrete Cosine Transform - ddst: Discrete Sine Transform - dfct: Cosine Transform of RDFT (Real Symmetric DFT) - dfst: Sine Transform of RDFT (Real Anti-symmetric DFT) -function prototypes - void cdft(int, int, double *, int *, double *); - void rdft(int, int, double *, int *, double *); - void ddct(int, int, double *, int *, double *); - void ddst(int, int, double *, int *, double *); - void dfct(int, double *, double *, int *, double *); - void dfst(int, double *, double *, int *, double *); -macro definitions - USE_CDFT_PTHREADS : default=not defined - CDFT_THREADS_BEGIN_N : must be >= 512, default=8192 - CDFT_4THREADS_BEGIN_N : must be >= 512, default=65536 - USE_CDFT_WINTHREADS : default=not defined - CDFT_THREADS_BEGIN_N : must be >= 512, default=32768 - CDFT_4THREADS_BEGIN_N : must be >= 512, default=524288 - - --------- Complex DFT (Discrete Fourier Transform) -------- - [definition] - - X[k] = sum_j=0^n-1 x[j]*exp(2*pi*i*j*k/n), 0<=k - X[k] = sum_j=0^n-1 x[j]*exp(-2*pi*i*j*k/n), 0<=k - ip[0] = 0; // first time only - cdft(2*n, 1, a, ip, w); - - ip[0] = 0; // first time only - cdft(2*n, -1, a, ip, w); - [parameters] - 2*n :data length (int) - n >= 1, n = power of 2 - a[0...2*n-1] :input/output data (double *) - input data - a[2*j] = Re(x[j]), - a[2*j+1] = Im(x[j]), 0<=j= 2+sqrt(n) - strictly, - length of ip >= - 2+(1<<(int)(log(n+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n/2-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - cdft(2*n, -1, a, ip, w); - is - cdft(2*n, 1, a, ip, w); - for (j = 0; j <= 2 * n - 1; j++) { - a[j] *= 1.0 / n; - } - . - - --------- Real DFT / Inverse of Real DFT -------- - [definition] - RDFT - R[k] = sum_j=0^n-1 a[j]*cos(2*pi*j*k/n), 0<=k<=n/2 - I[k] = sum_j=0^n-1 a[j]*sin(2*pi*j*k/n), 0 IRDFT (excluding scale) - a[k] = (R[0] + R[n/2]*cos(pi*k))/2 + - sum_j=1^n/2-1 R[j]*cos(2*pi*j*k/n) + - sum_j=1^n/2-1 I[j]*sin(2*pi*j*k/n), 0<=k - ip[0] = 0; // first time only - rdft(n, 1, a, ip, w); - - ip[0] = 0; // first time only - rdft(n, -1, a, ip, w); - [parameters] - n :data length (int) - n >= 2, n = power of 2 - a[0...n-1] :input/output data (double *) - - output data - a[2*k] = R[k], 0<=k - input data - a[2*j] = R[j], 0<=j= 2+sqrt(n/2) - strictly, - length of ip >= - 2+(1<<(int)(log(n/2+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n/2-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - rdft(n, 1, a, ip, w); - is - rdft(n, -1, a, ip, w); - for (j = 0; j <= n - 1; j++) { - a[j] *= 2.0 / n; - } - . - - --------- DCT (Discrete Cosine Transform) / Inverse of DCT -------- - [definition] - IDCT (excluding scale) - C[k] = sum_j=0^n-1 a[j]*cos(pi*j*(k+1/2)/n), 0<=k DCT - C[k] = sum_j=0^n-1 a[j]*cos(pi*(j+1/2)*k/n), 0<=k - ip[0] = 0; // first time only - ddct(n, 1, a, ip, w); - - ip[0] = 0; // first time only - ddct(n, -1, a, ip, w); - [parameters] - n :data length (int) - n >= 2, n = power of 2 - a[0...n-1] :input/output data (double *) - output data - a[k] = C[k], 0<=k= 2+sqrt(n/2) - strictly, - length of ip >= - 2+(1<<(int)(log(n/2+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n*5/4-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - ddct(n, -1, a, ip, w); - is - a[0] *= 0.5; - ddct(n, 1, a, ip, w); - for (j = 0; j <= n - 1; j++) { - a[j] *= 2.0 / n; - } - . - - --------- DST (Discrete Sine Transform) / Inverse of DST -------- - [definition] - IDST (excluding scale) - S[k] = sum_j=1^n A[j]*sin(pi*j*(k+1/2)/n), 0<=k DST - S[k] = sum_j=0^n-1 a[j]*sin(pi*(j+1/2)*k/n), 0 - ip[0] = 0; // first time only - ddst(n, 1, a, ip, w); - - ip[0] = 0; // first time only - ddst(n, -1, a, ip, w); - [parameters] - n :data length (int) - n >= 2, n = power of 2 - a[0...n-1] :input/output data (double *) - - input data - a[j] = A[j], 0 - output data - a[k] = S[k], 0= 2+sqrt(n/2) - strictly, - length of ip >= - 2+(1<<(int)(log(n/2+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n*5/4-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - ddst(n, -1, a, ip, w); - is - a[0] *= 0.5; - ddst(n, 1, a, ip, w); - for (j = 0; j <= n - 1; j++) { - a[j] *= 2.0 / n; - } - . - - --------- Cosine Transform of RDFT (Real Symmetric DFT) -------- - [definition] - C[k] = sum_j=0^n a[j]*cos(pi*j*k/n), 0<=k<=n - [usage] - ip[0] = 0; // first time only - dfct(n, a, t, ip, w); - [parameters] - n :data length - 1 (int) - n >= 2, n = power of 2 - a[0...n] :input/output data (double *) - output data - a[k] = C[k], 0<=k<=n - t[0...n/2] :work area (double *) - ip[0...*] :work area for bit reversal (int *) - length of ip >= 2+sqrt(n/4) - strictly, - length of ip >= - 2+(1<<(int)(log(n/4+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n*5/8-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - a[0] *= 0.5; - a[n] *= 0.5; - dfct(n, a, t, ip, w); - is - a[0] *= 0.5; - a[n] *= 0.5; - dfct(n, a, t, ip, w); - for (j = 0; j <= n; j++) { - a[j] *= 2.0 / n; - } - . - - --------- Sine Transform of RDFT (Real Anti-symmetric DFT) -------- - [definition] - S[k] = sum_j=1^n-1 a[j]*sin(pi*j*k/n), 0= 2, n = power of 2 - a[0...n-1] :input/output data (double *) - output data - a[k] = S[k], 0= 2+sqrt(n/4) - strictly, - length of ip >= - 2+(1<<(int)(log(n/4+0.5)/log(2))/2). - ip[0],ip[1] are pointers of the cos/sin table. - w[0...n*5/8-1] :cos/sin table (double *) - w[],ip[] are initialized if ip[0] == 0. - [remark] - Inverse of - dfst(n, a, t, ip, w); - is - dfst(n, a, t, ip, w); - for (j = 1; j <= n - 1; j++) { - a[j] *= 2.0 / n; - } - . - - -Appendix : - The cos/sin table is recalculated when the larger table required. - w[] and ip[] are compatible with all routines. -*/ - - -void cdft(int n, int isgn, double *a, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void cftbsub(int n, double *a, int *ip, int nw, double *w); - int nw; - - nw = ip[0]; - if (n > (nw << 2)) { - nw = n >> 2; - makewt(nw, ip, w); - } - if (isgn >= 0) { - cftfsub(n, a, ip, nw, w); - } else { - cftbsub(n, a, ip, nw, w); - } -} - - -void rdft(int n, int isgn, double *a, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void makect(int nc, int *ip, double *c); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void cftbsub(int n, double *a, int *ip, int nw, double *w); - void rftfsub(int n, double *a, int nc, double *c); - void rftbsub(int n, double *a, int nc, double *c); - int nw, nc; - double xi; - - nw = ip[0]; - if (n > (nw << 2)) { - nw = n >> 2; - makewt(nw, ip, w); - } - nc = ip[1]; - if (n > (nc << 2)) { - nc = n >> 2; - makect(nc, ip, w + nw); - } - if (isgn >= 0) { - if (n > 4) { - cftfsub(n, a, ip, nw, w); - rftfsub(n, a, nc, w + nw); - } else if (n == 4) { - cftfsub(n, a, ip, nw, w); - } - xi = a[0] - a[1]; - a[0] += a[1]; - a[1] = xi; - } else { - a[1] = 0.5 * (a[0] - a[1]); - a[0] -= a[1]; - if (n > 4) { - rftbsub(n, a, nc, w + nw); - cftbsub(n, a, ip, nw, w); - } else if (n == 4) { - cftbsub(n, a, ip, nw, w); - } - } -} - - -void ddct(int n, int isgn, double *a, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void makect(int nc, int *ip, double *c); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void cftbsub(int n, double *a, int *ip, int nw, double *w); - void rftfsub(int n, double *a, int nc, double *c); - void rftbsub(int n, double *a, int nc, double *c); - void dctsub(int n, double *a, int nc, double *c); - int j, nw, nc; - double xr; - - nw = ip[0]; - if (n > (nw << 2)) { - nw = n >> 2; - makewt(nw, ip, w); - } - nc = ip[1]; - if (n > nc) { - nc = n; - makect(nc, ip, w + nw); - } - if (isgn < 0) { - xr = a[n - 1]; - for (j = n - 2; j >= 2; j -= 2) { - a[j + 1] = a[j] - a[j - 1]; - a[j] += a[j - 1]; - } - a[1] = a[0] - xr; - a[0] += xr; - if (n > 4) { - rftbsub(n, a, nc, w + nw); - cftbsub(n, a, ip, nw, w); - } else if (n == 4) { - cftbsub(n, a, ip, nw, w); - } - } - dctsub(n, a, nc, w + nw); - if (isgn >= 0) { - if (n > 4) { - cftfsub(n, a, ip, nw, w); - rftfsub(n, a, nc, w + nw); - } else if (n == 4) { - cftfsub(n, a, ip, nw, w); - } - xr = a[0] - a[1]; - a[0] += a[1]; - for (j = 2; j < n; j += 2) { - a[j - 1] = a[j] - a[j + 1]; - a[j] += a[j + 1]; - } - a[n - 1] = xr; - } -} - - -void ddst(int n, int isgn, double *a, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void makect(int nc, int *ip, double *c); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void cftbsub(int n, double *a, int *ip, int nw, double *w); - void rftfsub(int n, double *a, int nc, double *c); - void rftbsub(int n, double *a, int nc, double *c); - void dstsub(int n, double *a, int nc, double *c); - int j, nw, nc; - double xr; - - nw = ip[0]; - if (n > (nw << 2)) { - nw = n >> 2; - makewt(nw, ip, w); - } - nc = ip[1]; - if (n > nc) { - nc = n; - makect(nc, ip, w + nw); - } - if (isgn < 0) { - xr = a[n - 1]; - for (j = n - 2; j >= 2; j -= 2) { - a[j + 1] = -a[j] - a[j - 1]; - a[j] -= a[j - 1]; - } - a[1] = a[0] + xr; - a[0] -= xr; - if (n > 4) { - rftbsub(n, a, nc, w + nw); - cftbsub(n, a, ip, nw, w); - } else if (n == 4) { - cftbsub(n, a, ip, nw, w); - } - } - dstsub(n, a, nc, w + nw); - if (isgn >= 0) { - if (n > 4) { - cftfsub(n, a, ip, nw, w); - rftfsub(n, a, nc, w + nw); - } else if (n == 4) { - cftfsub(n, a, ip, nw, w); - } - xr = a[0] - a[1]; - a[0] += a[1]; - for (j = 2; j < n; j += 2) { - a[j - 1] = -a[j] - a[j + 1]; - a[j] -= a[j + 1]; - } - a[n - 1] = -xr; - } -} - - -void dfct(int n, double *a, double *t, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void makect(int nc, int *ip, double *c); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void rftfsub(int n, double *a, int nc, double *c); - void dctsub(int n, double *a, int nc, double *c); - int j, k, l, m, mh, nw, nc; - double xr, xi, yr, yi; - - nw = ip[0]; - if (n > (nw << 3)) { - nw = n >> 3; - makewt(nw, ip, w); - } - nc = ip[1]; - if (n > (nc << 1)) { - nc = n >> 1; - makect(nc, ip, w + nw); - } - m = n >> 1; - yi = a[m]; - xi = a[0] + a[n]; - a[0] -= a[n]; - t[0] = xi - yi; - t[m] = xi + yi; - if (n > 2) { - mh = m >> 1; - for (j = 1; j < mh; j++) { - k = m - j; - xr = a[j] - a[n - j]; - xi = a[j] + a[n - j]; - yr = a[k] - a[n - k]; - yi = a[k] + a[n - k]; - a[j] = xr; - a[k] = yr; - t[j] = xi - yi; - t[k] = xi + yi; - } - t[mh] = a[mh] + a[n - mh]; - a[mh] -= a[n - mh]; - dctsub(m, a, nc, w + nw); - if (m > 4) { - cftfsub(m, a, ip, nw, w); - rftfsub(m, a, nc, w + nw); - } else if (m == 4) { - cftfsub(m, a, ip, nw, w); - } - a[n - 1] = a[0] - a[1]; - a[1] = a[0] + a[1]; - for (j = m - 2; j >= 2; j -= 2) { - a[2 * j + 1] = a[j] + a[j + 1]; - a[2 * j - 1] = a[j] - a[j + 1]; - } - l = 2; - m = mh; - while (m >= 2) { - dctsub(m, t, nc, w + nw); - if (m > 4) { - cftfsub(m, t, ip, nw, w); - rftfsub(m, t, nc, w + nw); - } else if (m == 4) { - cftfsub(m, t, ip, nw, w); - } - a[n - l] = t[0] - t[1]; - a[l] = t[0] + t[1]; - k = 0; - for (j = 2; j < m; j += 2) { - k += l << 2; - a[k - l] = t[j] - t[j + 1]; - a[k + l] = t[j] + t[j + 1]; - } - l <<= 1; - mh = m >> 1; - for (j = 0; j < mh; j++) { - k = m - j; - t[j] = t[m + k] - t[m + j]; - t[k] = t[m + k] + t[m + j]; - } - t[mh] = t[m + mh]; - m = mh; - } - a[l] = t[0]; - a[n] = t[2] - t[1]; - a[0] = t[2] + t[1]; - } else { - a[1] = a[0]; - a[2] = t[0]; - a[0] = t[1]; - } -} - - -void dfst(int n, double *a, double *t, int *ip, double *w) -{ - void makewt(int nw, int *ip, double *w); - void makect(int nc, int *ip, double *c); - void cftfsub(int n, double *a, int *ip, int nw, double *w); - void rftfsub(int n, double *a, int nc, double *c); - void dstsub(int n, double *a, int nc, double *c); - int j, k, l, m, mh, nw, nc; - double xr, xi, yr, yi; - - nw = ip[0]; - if (n > (nw << 3)) { - nw = n >> 3; - makewt(nw, ip, w); - } - nc = ip[1]; - if (n > (nc << 1)) { - nc = n >> 1; - makect(nc, ip, w + nw); - } - if (n > 2) { - m = n >> 1; - mh = m >> 1; - for (j = 1; j < mh; j++) { - k = m - j; - xr = a[j] + a[n - j]; - xi = a[j] - a[n - j]; - yr = a[k] + a[n - k]; - yi = a[k] - a[n - k]; - a[j] = xr; - a[k] = yr; - t[j] = xi + yi; - t[k] = xi - yi; - } - t[0] = a[mh] - a[n - mh]; - a[mh] += a[n - mh]; - a[0] = a[m]; - dstsub(m, a, nc, w + nw); - if (m > 4) { - cftfsub(m, a, ip, nw, w); - rftfsub(m, a, nc, w + nw); - } else if (m == 4) { - cftfsub(m, a, ip, nw, w); - } - a[n - 1] = a[1] - a[0]; - a[1] = a[0] + a[1]; - for (j = m - 2; j >= 2; j -= 2) { - a[2 * j + 1] = a[j] - a[j + 1]; - a[2 * j - 1] = -a[j] - a[j + 1]; - } - l = 2; - m = mh; - while (m >= 2) { - dstsub(m, t, nc, w + nw); - if (m > 4) { - cftfsub(m, t, ip, nw, w); - rftfsub(m, t, nc, w + nw); - } else if (m == 4) { - cftfsub(m, t, ip, nw, w); - } - a[n - l] = t[1] - t[0]; - a[l] = t[0] + t[1]; - k = 0; - for (j = 2; j < m; j += 2) { - k += l << 2; - a[k - l] = -t[j] - t[j + 1]; - a[k + l] = t[j] - t[j + 1]; - } - l <<= 1; - mh = m >> 1; - for (j = 1; j < mh; j++) { - k = m - j; - t[j] = t[m + k] + t[m + j]; - t[k] = t[m + k] - t[m + j]; - } - t[0] = t[m + mh]; - m = mh; - } - a[l] = t[0]; - } - a[0] = 0; -} - - -/* -------- initializing routines -------- */ - - -#include - -void makewt(int nw, int *ip, double *w) -{ - void makeipt(int nw, int *ip); - int j, nwh, nw0, nw1; - double delta, wn4r, wk1r, wk1i, wk3r, wk3i; - - ip[0] = nw; - ip[1] = 1; - if (nw > 2) { - nwh = nw >> 1; - delta = atan(1.0) / nwh; - wn4r = cos(delta * nwh); - w[0] = 1; - w[1] = wn4r; - if (nwh == 4) { - w[2] = cos(delta * 2); - w[3] = sin(delta * 2); - } else if (nwh > 4) { - makeipt(nw, ip); - w[2] = 0.5 / cos(delta * 2); - w[3] = 0.5 / cos(delta * 6); - for (j = 4; j < nwh; j += 4) { - w[j] = cos(delta * j); - w[j + 1] = sin(delta * j); - w[j + 2] = cos(3 * delta * j); - w[j + 3] = -sin(3 * delta * j); - } - } - nw0 = 0; - while (nwh > 2) { - nw1 = nw0 + nwh; - nwh >>= 1; - w[nw1] = 1; - w[nw1 + 1] = wn4r; - if (nwh == 4) { - wk1r = w[nw0 + 4]; - wk1i = w[nw0 + 5]; - w[nw1 + 2] = wk1r; - w[nw1 + 3] = wk1i; - } else if (nwh > 4) { - wk1r = w[nw0 + 4]; - wk3r = w[nw0 + 6]; - w[nw1 + 2] = 0.5 / wk1r; - w[nw1 + 3] = 0.5 / wk3r; - for (j = 4; j < nwh; j += 4) { - wk1r = w[nw0 + 2 * j]; - wk1i = w[nw0 + 2 * j + 1]; - wk3r = w[nw0 + 2 * j + 2]; - wk3i = w[nw0 + 2 * j + 3]; - w[nw1 + j] = wk1r; - w[nw1 + j + 1] = wk1i; - w[nw1 + j + 2] = wk3r; - w[nw1 + j + 3] = wk3i; - } - } - nw0 = nw1; - } - } -} - - -void makeipt(int nw, int *ip) -{ - int j, l, m, m2, p, q; - - ip[2] = 0; - ip[3] = 16; - m = 2; - for (l = nw; l > 32; l >>= 2) { - m2 = m << 1; - q = m2 << 3; - for (j = m; j < m2; j++) { - p = ip[j] << 2; - ip[m + j] = p; - ip[m2 + j] = p + q; - } - m = m2; - } -} - - -void makect(int nc, int *ip, double *c) -{ - int j, nch; - double delta; - - ip[1] = nc; - if (nc > 1) { - nch = nc >> 1; - delta = atan(1.0) / nch; - c[0] = cos(delta * nch); - c[nch] = 0.5 * c[0]; - for (j = 1; j < nch; j++) { - c[j] = 0.5 * cos(delta * j); - c[nc - j] = 0.5 * sin(delta * j); - } - } -} - - -/* -------- child routines -------- */ - - -#ifdef USE_CDFT_PTHREADS -#define USE_CDFT_THREADS -#ifndef CDFT_THREADS_BEGIN_N -#define CDFT_THREADS_BEGIN_N 8192 -#endif -#ifndef CDFT_4THREADS_BEGIN_N -#define CDFT_4THREADS_BEGIN_N 65536 -#endif -#include -#include -#include -#define cdft_thread_t pthread_t -#define cdft_thread_create(thp,func,argp) { \ - if (pthread_create(thp, NULL, func, (void *) argp) != 0) { \ - fprintf(stderr, "cdft thread error\n"); \ - exit(1); \ - } \ -} -#define cdft_thread_wait(th) { \ - if (pthread_join(th, NULL) != 0) { \ - fprintf(stderr, "cdft thread error\n"); \ - exit(1); \ - } \ -} -#endif /* USE_CDFT_PTHREADS */ - - -#ifdef USE_CDFT_WINTHREADS -#define USE_CDFT_THREADS -#ifndef CDFT_THREADS_BEGIN_N -#define CDFT_THREADS_BEGIN_N 32768 -#endif -#ifndef CDFT_4THREADS_BEGIN_N -#define CDFT_4THREADS_BEGIN_N 524288 -#endif -#include -#include -#include -#define cdft_thread_t HANDLE -#define cdft_thread_create(thp,func,argp) { \ - DWORD thid; \ - *(thp) = CreateThread(NULL, 0, (LPTHREAD_START_ROUTINE) func, (LPVOID) argp, 0, &thid); \ - if (*(thp) == 0) { \ - fprintf(stderr, "cdft thread error\n"); \ - exit(1); \ - } \ -} -#define cdft_thread_wait(th) { \ - WaitForSingleObject(th, INFINITE); \ - CloseHandle(th); \ -} -#endif /* USE_CDFT_WINTHREADS */ - - -void cftfsub(int n, double *a, int *ip, int nw, double *w) -{ - void bitrv2(int n, int *ip, double *a); - void bitrv216(double *a); - void bitrv208(double *a); - void cftf1st(int n, double *a, double *w); - void cftrec4(int n, double *a, int nw, double *w); - void cftleaf(int n, int isplt, double *a, int nw, double *w); - void cftfx41(int n, double *a, int nw, double *w); - void cftf161(double *a, double *w); - void cftf081(double *a, double *w); - void cftf040(double *a); - void cftx020(double *a); -#ifdef USE_CDFT_THREADS - void cftrec4_th(int n, double *a, int nw, double *w); -#endif /* USE_CDFT_THREADS */ - - if (n > 8) { - if (n > 32) { - cftf1st(n, a, &w[nw - (n >> 2)]); -#ifdef USE_CDFT_THREADS - if (n > CDFT_THREADS_BEGIN_N) { - cftrec4_th(n, a, nw, w); - } else -#endif /* USE_CDFT_THREADS */ - if (n > 512) { - cftrec4(n, a, nw, w); - } else if (n > 128) { - cftleaf(n, 1, a, nw, w); - } else { - cftfx41(n, a, nw, w); - } - bitrv2(n, ip, a); - } else if (n == 32) { - cftf161(a, &w[nw - 8]); - bitrv216(a); - } else { - cftf081(a, w); - bitrv208(a); - } - } else if (n == 8) { - cftf040(a); - } else if (n == 4) { - cftx020(a); - } -} - - -void cftbsub(int n, double *a, int *ip, int nw, double *w) -{ - void bitrv2conj(int n, int *ip, double *a); - void bitrv216neg(double *a); - void bitrv208neg(double *a); - void cftb1st(int n, double *a, double *w); - void cftrec4(int n, double *a, int nw, double *w); - void cftleaf(int n, int isplt, double *a, int nw, double *w); - void cftfx41(int n, double *a, int nw, double *w); - void cftf161(double *a, double *w); - void cftf081(double *a, double *w); - void cftb040(double *a); - void cftx020(double *a); -#ifdef USE_CDFT_THREADS - void cftrec4_th(int n, double *a, int nw, double *w); -#endif /* USE_CDFT_THREADS */ - - if (n > 8) { - if (n > 32) { - cftb1st(n, a, &w[nw - (n >> 2)]); -#ifdef USE_CDFT_THREADS - if (n > CDFT_THREADS_BEGIN_N) { - cftrec4_th(n, a, nw, w); - } else -#endif /* USE_CDFT_THREADS */ - if (n > 512) { - cftrec4(n, a, nw, w); - } else if (n > 128) { - cftleaf(n, 1, a, nw, w); - } else { - cftfx41(n, a, nw, w); - } - bitrv2conj(n, ip, a); - } else if (n == 32) { - cftf161(a, &w[nw - 8]); - bitrv216neg(a); - } else { - cftf081(a, w); - bitrv208neg(a); - } - } else if (n == 8) { - cftb040(a); - } else if (n == 4) { - cftx020(a); - } -} - - -void bitrv2(int n, int *ip, double *a) -{ - int j, j1, k, k1, l, m, nh, nm; - double xr, xi, yr, yi; - - m = 1; - for (l = n >> 2; l > 8; l >>= 2) { - m <<= 1; - } - nh = n >> 1; - nm = 4 * m; - if (l == 8) { - for (k = 0; k < m; k++) { - for (j = 0; j < k; j++) { - j1 = 4 * j + 2 * ip[m + k]; - k1 = 4 * k + 2 * ip[m + j]; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh; - k1 += 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 += nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += 2; - k1 += nh; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh; - k1 -= 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 += nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - k1 = 4 * k + 2 * ip[m + k]; - j1 = k1 + 2; - k1 += nh; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= 2; - k1 -= nh; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh + 2; - k1 += nh + 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh - nm; - k1 += 2 * nm - 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - } else { - for (k = 0; k < m; k++) { - for (j = 0; j < k; j++) { - j1 = 4 * j + ip[m + k]; - k1 = 4 * k + ip[m + j]; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh; - k1 += 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += 2; - k1 += nh; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh; - k1 -= 2; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - k1 = 4 * k + ip[m + k]; - j1 = k1 + 2; - k1 += nh; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += nm; - xr = a[j1]; - xi = a[j1 + 1]; - yr = a[k1]; - yi = a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - } -} - - -void bitrv2conj(int n, int *ip, double *a) -{ - int j, j1, k, k1, l, m, nh, nm; - double xr, xi, yr, yi; - - m = 1; - for (l = n >> 2; l > 8; l >>= 2) { - m <<= 1; - } - nh = n >> 1; - nm = 4 * m; - if (l == 8) { - for (k = 0; k < m; k++) { - for (j = 0; j < k; j++) { - j1 = 4 * j + 2 * ip[m + k]; - k1 = 4 * k + 2 * ip[m + j]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh; - k1 += 2; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 += nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += 2; - k1 += nh; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh; - k1 -= 2; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 += nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - k1 = 4 * k + 2 * ip[m + k]; - j1 = k1 + 2; - k1 += nh; - a[j1 - 1] = -a[j1 - 1]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - a[k1 + 3] = -a[k1 + 3]; - j1 += nm; - k1 += 2 * nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 -= nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= 2; - k1 -= nh; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh + 2; - k1 += nh + 2; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh - nm; - k1 += 2 * nm - 2; - a[j1 - 1] = -a[j1 - 1]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - a[k1 + 3] = -a[k1 + 3]; - } - } else { - for (k = 0; k < m; k++) { - for (j = 0; j < k; j++) { - j1 = 4 * j + ip[m + k]; - k1 = 4 * k + ip[m + j]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nh; - k1 += 2; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += 2; - k1 += nh; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 += nm; - k1 += nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nh; - k1 -= 2; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - j1 -= nm; - k1 -= nm; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - } - k1 = 4 * k + ip[m + k]; - j1 = k1 + 2; - k1 += nh; - a[j1 - 1] = -a[j1 - 1]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - a[k1 + 3] = -a[k1 + 3]; - j1 += nm; - k1 += nm; - a[j1 - 1] = -a[j1 - 1]; - xr = a[j1]; - xi = -a[j1 + 1]; - yr = a[k1]; - yi = -a[k1 + 1]; - a[j1] = yr; - a[j1 + 1] = yi; - a[k1] = xr; - a[k1 + 1] = xi; - a[k1 + 3] = -a[k1 + 3]; - } - } -} - - -void bitrv216(double *a) -{ - double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, - x5r, x5i, x7r, x7i, x8r, x8i, x10r, x10i, - x11r, x11i, x12r, x12i, x13r, x13i, x14r, x14i; - - x1r = a[2]; - x1i = a[3]; - x2r = a[4]; - x2i = a[5]; - x3r = a[6]; - x3i = a[7]; - x4r = a[8]; - x4i = a[9]; - x5r = a[10]; - x5i = a[11]; - x7r = a[14]; - x7i = a[15]; - x8r = a[16]; - x8i = a[17]; - x10r = a[20]; - x10i = a[21]; - x11r = a[22]; - x11i = a[23]; - x12r = a[24]; - x12i = a[25]; - x13r = a[26]; - x13i = a[27]; - x14r = a[28]; - x14i = a[29]; - a[2] = x8r; - a[3] = x8i; - a[4] = x4r; - a[5] = x4i; - a[6] = x12r; - a[7] = x12i; - a[8] = x2r; - a[9] = x2i; - a[10] = x10r; - a[11] = x10i; - a[14] = x14r; - a[15] = x14i; - a[16] = x1r; - a[17] = x1i; - a[20] = x5r; - a[21] = x5i; - a[22] = x13r; - a[23] = x13i; - a[24] = x3r; - a[25] = x3i; - a[26] = x11r; - a[27] = x11i; - a[28] = x7r; - a[29] = x7i; -} - - -void bitrv216neg(double *a) -{ - double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, - x5r, x5i, x6r, x6i, x7r, x7i, x8r, x8i, - x9r, x9i, x10r, x10i, x11r, x11i, x12r, x12i, - x13r, x13i, x14r, x14i, x15r, x15i; - - x1r = a[2]; - x1i = a[3]; - x2r = a[4]; - x2i = a[5]; - x3r = a[6]; - x3i = a[7]; - x4r = a[8]; - x4i = a[9]; - x5r = a[10]; - x5i = a[11]; - x6r = a[12]; - x6i = a[13]; - x7r = a[14]; - x7i = a[15]; - x8r = a[16]; - x8i = a[17]; - x9r = a[18]; - x9i = a[19]; - x10r = a[20]; - x10i = a[21]; - x11r = a[22]; - x11i = a[23]; - x12r = a[24]; - x12i = a[25]; - x13r = a[26]; - x13i = a[27]; - x14r = a[28]; - x14i = a[29]; - x15r = a[30]; - x15i = a[31]; - a[2] = x15r; - a[3] = x15i; - a[4] = x7r; - a[5] = x7i; - a[6] = x11r; - a[7] = x11i; - a[8] = x3r; - a[9] = x3i; - a[10] = x13r; - a[11] = x13i; - a[12] = x5r; - a[13] = x5i; - a[14] = x9r; - a[15] = x9i; - a[16] = x1r; - a[17] = x1i; - a[18] = x14r; - a[19] = x14i; - a[20] = x6r; - a[21] = x6i; - a[22] = x10r; - a[23] = x10i; - a[24] = x2r; - a[25] = x2i; - a[26] = x12r; - a[27] = x12i; - a[28] = x4r; - a[29] = x4i; - a[30] = x8r; - a[31] = x8i; -} - - -void bitrv208(double *a) -{ - double x1r, x1i, x3r, x3i, x4r, x4i, x6r, x6i; - - x1r = a[2]; - x1i = a[3]; - x3r = a[6]; - x3i = a[7]; - x4r = a[8]; - x4i = a[9]; - x6r = a[12]; - x6i = a[13]; - a[2] = x4r; - a[3] = x4i; - a[6] = x6r; - a[7] = x6i; - a[8] = x1r; - a[9] = x1i; - a[12] = x3r; - a[13] = x3i; -} - - -void bitrv208neg(double *a) -{ - double x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i, - x5r, x5i, x6r, x6i, x7r, x7i; - - x1r = a[2]; - x1i = a[3]; - x2r = a[4]; - x2i = a[5]; - x3r = a[6]; - x3i = a[7]; - x4r = a[8]; - x4i = a[9]; - x5r = a[10]; - x5i = a[11]; - x6r = a[12]; - x6i = a[13]; - x7r = a[14]; - x7i = a[15]; - a[2] = x7r; - a[3] = x7i; - a[4] = x3r; - a[5] = x3i; - a[6] = x5r; - a[7] = x5i; - a[8] = x1r; - a[9] = x1i; - a[10] = x6r; - a[11] = x6i; - a[12] = x2r; - a[13] = x2i; - a[14] = x4r; - a[15] = x4i; -} - - -void cftf1st(int n, double *a, double *w) -{ - int j, j0, j1, j2, j3, k, m, mh; - double wn4r, csc1, csc3, wk1r, wk1i, wk3r, wk3i, - wd1r, wd1i, wd3r, wd3i; - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i; - - mh = n >> 3; - m = 2 * mh; - j1 = m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[0] + a[j2]; - x0i = a[1] + a[j2 + 1]; - x1r = a[0] - a[j2]; - x1i = a[1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[0] = x0r + x2r; - a[1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - a[j2] = x1r - x3i; - a[j2 + 1] = x1i + x3r; - a[j3] = x1r + x3i; - a[j3 + 1] = x1i - x3r; - wn4r = w[1]; - csc1 = w[2]; - csc3 = w[3]; - wd1r = 1; - wd1i = 0; - wd3r = 1; - wd3i = 0; - k = 0; - for (j = 2; j < mh - 2; j += 4) { - k += 4; - wk1r = csc1 * (wd1r + w[k]); - wk1i = csc1 * (wd1i + w[k + 1]); - wk3r = csc3 * (wd3r + w[k + 2]); - wk3i = csc3 * (wd3i + w[k + 3]); - wd1r = w[k]; - wd1i = w[k + 1]; - wd3r = w[k + 2]; - wd3i = w[k + 3]; - j1 = j + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j] + a[j2]; - x0i = a[j + 1] + a[j2 + 1]; - x1r = a[j] - a[j2]; - x1i = a[j + 1] - a[j2 + 1]; - y0r = a[j + 2] + a[j2 + 2]; - y0i = a[j + 3] + a[j2 + 3]; - y1r = a[j + 2] - a[j2 + 2]; - y1i = a[j + 3] - a[j2 + 3]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - y2r = a[j1 + 2] + a[j3 + 2]; - y2i = a[j1 + 3] + a[j3 + 3]; - y3r = a[j1 + 2] - a[j3 + 2]; - y3i = a[j1 + 3] - a[j3 + 3]; - a[j] = x0r + x2r; - a[j + 1] = x0i + x2i; - a[j + 2] = y0r + y2r; - a[j + 3] = y0i + y2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - a[j1 + 2] = y0r - y2r; - a[j1 + 3] = y0i - y2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wk1r * x0r - wk1i * x0i; - a[j2 + 1] = wk1r * x0i + wk1i * x0r; - x0r = y1r - y3i; - x0i = y1i + y3r; - a[j2 + 2] = wd1r * x0r - wd1i * x0i; - a[j2 + 3] = wd1r * x0i + wd1i * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = wk3r * x0r + wk3i * x0i; - a[j3 + 1] = wk3r * x0i - wk3i * x0r; - x0r = y1r + y3i; - x0i = y1i - y3r; - a[j3 + 2] = wd3r * x0r + wd3i * x0i; - a[j3 + 3] = wd3r * x0i - wd3i * x0r; - j0 = m - j; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] + a[j2]; - x0i = a[j0 + 1] + a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = a[j0 + 1] - a[j2 + 1]; - y0r = a[j0 - 2] + a[j2 - 2]; - y0i = a[j0 - 1] + a[j2 - 1]; - y1r = a[j0 - 2] - a[j2 - 2]; - y1i = a[j0 - 1] - a[j2 - 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - y2r = a[j1 - 2] + a[j3 - 2]; - y2i = a[j1 - 1] + a[j3 - 1]; - y3r = a[j1 - 2] - a[j3 - 2]; - y3i = a[j1 - 1] - a[j3 - 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i + x2i; - a[j0 - 2] = y0r + y2r; - a[j0 - 1] = y0i + y2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - a[j1 - 2] = y0r - y2r; - a[j1 - 1] = y0i - y2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wk1i * x0r - wk1r * x0i; - a[j2 + 1] = wk1i * x0i + wk1r * x0r; - x0r = y1r - y3i; - x0i = y1i + y3r; - a[j2 - 2] = wd1i * x0r - wd1r * x0i; - a[j2 - 1] = wd1i * x0i + wd1r * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = wk3i * x0r + wk3r * x0i; - a[j3 + 1] = wk3i * x0i - wk3r * x0r; - x0r = y1r + y3i; - x0i = y1i - y3r; - a[j3 - 2] = wd3i * x0r + wd3r * x0i; - a[j3 - 1] = wd3i * x0i - wd3r * x0r; - } - wk1r = csc1 * (wd1r + wn4r); - wk1i = csc1 * (wd1i + wn4r); - wk3r = csc3 * (wd3r - wn4r); - wk3i = csc3 * (wd3i - wn4r); - j0 = mh; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0 - 2] + a[j2 - 2]; - x0i = a[j0 - 1] + a[j2 - 1]; - x1r = a[j0 - 2] - a[j2 - 2]; - x1i = a[j0 - 1] - a[j2 - 1]; - x2r = a[j1 - 2] + a[j3 - 2]; - x2i = a[j1 - 1] + a[j3 - 1]; - x3r = a[j1 - 2] - a[j3 - 2]; - x3i = a[j1 - 1] - a[j3 - 1]; - a[j0 - 2] = x0r + x2r; - a[j0 - 1] = x0i + x2i; - a[j1 - 2] = x0r - x2r; - a[j1 - 1] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2 - 2] = wk1r * x0r - wk1i * x0i; - a[j2 - 1] = wk1r * x0i + wk1i * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3 - 2] = wk3r * x0r + wk3i * x0i; - a[j3 - 1] = wk3r * x0i - wk3i * x0r; - x0r = a[j0] + a[j2]; - x0i = a[j0 + 1] + a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = a[j0 + 1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wn4r * (x0r - x0i); - a[j2 + 1] = wn4r * (x0i + x0r); - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = -wn4r * (x0r + x0i); - a[j3 + 1] = -wn4r * (x0i - x0r); - x0r = a[j0 + 2] + a[j2 + 2]; - x0i = a[j0 + 3] + a[j2 + 3]; - x1r = a[j0 + 2] - a[j2 + 2]; - x1i = a[j0 + 3] - a[j2 + 3]; - x2r = a[j1 + 2] + a[j3 + 2]; - x2i = a[j1 + 3] + a[j3 + 3]; - x3r = a[j1 + 2] - a[j3 + 2]; - x3i = a[j1 + 3] - a[j3 + 3]; - a[j0 + 2] = x0r + x2r; - a[j0 + 3] = x0i + x2i; - a[j1 + 2] = x0r - x2r; - a[j1 + 3] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2 + 2] = wk1i * x0r - wk1r * x0i; - a[j2 + 3] = wk1i * x0i + wk1r * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3 + 2] = wk3i * x0r + wk3r * x0i; - a[j3 + 3] = wk3i * x0i - wk3r * x0r; -} - - -void cftb1st(int n, double *a, double *w) -{ - int j, j0, j1, j2, j3, k, m, mh; - double wn4r, csc1, csc3, wk1r, wk1i, wk3r, wk3i, - wd1r, wd1i, wd3r, wd3i; - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i; - - mh = n >> 3; - m = 2 * mh; - j1 = m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[0] + a[j2]; - x0i = -a[1] - a[j2 + 1]; - x1r = a[0] - a[j2]; - x1i = -a[1] + a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[0] = x0r + x2r; - a[1] = x0i - x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i + x2i; - a[j2] = x1r + x3i; - a[j2 + 1] = x1i + x3r; - a[j3] = x1r - x3i; - a[j3 + 1] = x1i - x3r; - wn4r = w[1]; - csc1 = w[2]; - csc3 = w[3]; - wd1r = 1; - wd1i = 0; - wd3r = 1; - wd3i = 0; - k = 0; - for (j = 2; j < mh - 2; j += 4) { - k += 4; - wk1r = csc1 * (wd1r + w[k]); - wk1i = csc1 * (wd1i + w[k + 1]); - wk3r = csc3 * (wd3r + w[k + 2]); - wk3i = csc3 * (wd3i + w[k + 3]); - wd1r = w[k]; - wd1i = w[k + 1]; - wd3r = w[k + 2]; - wd3i = w[k + 3]; - j1 = j + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j] + a[j2]; - x0i = -a[j + 1] - a[j2 + 1]; - x1r = a[j] - a[j2]; - x1i = -a[j + 1] + a[j2 + 1]; - y0r = a[j + 2] + a[j2 + 2]; - y0i = -a[j + 3] - a[j2 + 3]; - y1r = a[j + 2] - a[j2 + 2]; - y1i = -a[j + 3] + a[j2 + 3]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - y2r = a[j1 + 2] + a[j3 + 2]; - y2i = a[j1 + 3] + a[j3 + 3]; - y3r = a[j1 + 2] - a[j3 + 2]; - y3i = a[j1 + 3] - a[j3 + 3]; - a[j] = x0r + x2r; - a[j + 1] = x0i - x2i; - a[j + 2] = y0r + y2r; - a[j + 3] = y0i - y2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i + x2i; - a[j1 + 2] = y0r - y2r; - a[j1 + 3] = y0i + y2i; - x0r = x1r + x3i; - x0i = x1i + x3r; - a[j2] = wk1r * x0r - wk1i * x0i; - a[j2 + 1] = wk1r * x0i + wk1i * x0r; - x0r = y1r + y3i; - x0i = y1i + y3r; - a[j2 + 2] = wd1r * x0r - wd1i * x0i; - a[j2 + 3] = wd1r * x0i + wd1i * x0r; - x0r = x1r - x3i; - x0i = x1i - x3r; - a[j3] = wk3r * x0r + wk3i * x0i; - a[j3 + 1] = wk3r * x0i - wk3i * x0r; - x0r = y1r - y3i; - x0i = y1i - y3r; - a[j3 + 2] = wd3r * x0r + wd3i * x0i; - a[j3 + 3] = wd3r * x0i - wd3i * x0r; - j0 = m - j; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] + a[j2]; - x0i = -a[j0 + 1] - a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = -a[j0 + 1] + a[j2 + 1]; - y0r = a[j0 - 2] + a[j2 - 2]; - y0i = -a[j0 - 1] - a[j2 - 1]; - y1r = a[j0 - 2] - a[j2 - 2]; - y1i = -a[j0 - 1] + a[j2 - 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - y2r = a[j1 - 2] + a[j3 - 2]; - y2i = a[j1 - 1] + a[j3 - 1]; - y3r = a[j1 - 2] - a[j3 - 2]; - y3i = a[j1 - 1] - a[j3 - 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i - x2i; - a[j0 - 2] = y0r + y2r; - a[j0 - 1] = y0i - y2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i + x2i; - a[j1 - 2] = y0r - y2r; - a[j1 - 1] = y0i + y2i; - x0r = x1r + x3i; - x0i = x1i + x3r; - a[j2] = wk1i * x0r - wk1r * x0i; - a[j2 + 1] = wk1i * x0i + wk1r * x0r; - x0r = y1r + y3i; - x0i = y1i + y3r; - a[j2 - 2] = wd1i * x0r - wd1r * x0i; - a[j2 - 1] = wd1i * x0i + wd1r * x0r; - x0r = x1r - x3i; - x0i = x1i - x3r; - a[j3] = wk3i * x0r + wk3r * x0i; - a[j3 + 1] = wk3i * x0i - wk3r * x0r; - x0r = y1r - y3i; - x0i = y1i - y3r; - a[j3 - 2] = wd3i * x0r + wd3r * x0i; - a[j3 - 1] = wd3i * x0i - wd3r * x0r; - } - wk1r = csc1 * (wd1r + wn4r); - wk1i = csc1 * (wd1i + wn4r); - wk3r = csc3 * (wd3r - wn4r); - wk3i = csc3 * (wd3i - wn4r); - j0 = mh; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0 - 2] + a[j2 - 2]; - x0i = -a[j0 - 1] - a[j2 - 1]; - x1r = a[j0 - 2] - a[j2 - 2]; - x1i = -a[j0 - 1] + a[j2 - 1]; - x2r = a[j1 - 2] + a[j3 - 2]; - x2i = a[j1 - 1] + a[j3 - 1]; - x3r = a[j1 - 2] - a[j3 - 2]; - x3i = a[j1 - 1] - a[j3 - 1]; - a[j0 - 2] = x0r + x2r; - a[j0 - 1] = x0i - x2i; - a[j1 - 2] = x0r - x2r; - a[j1 - 1] = x0i + x2i; - x0r = x1r + x3i; - x0i = x1i + x3r; - a[j2 - 2] = wk1r * x0r - wk1i * x0i; - a[j2 - 1] = wk1r * x0i + wk1i * x0r; - x0r = x1r - x3i; - x0i = x1i - x3r; - a[j3 - 2] = wk3r * x0r + wk3i * x0i; - a[j3 - 1] = wk3r * x0i - wk3i * x0r; - x0r = a[j0] + a[j2]; - x0i = -a[j0 + 1] - a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = -a[j0 + 1] + a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i - x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i + x2i; - x0r = x1r + x3i; - x0i = x1i + x3r; - a[j2] = wn4r * (x0r - x0i); - a[j2 + 1] = wn4r * (x0i + x0r); - x0r = x1r - x3i; - x0i = x1i - x3r; - a[j3] = -wn4r * (x0r + x0i); - a[j3 + 1] = -wn4r * (x0i - x0r); - x0r = a[j0 + 2] + a[j2 + 2]; - x0i = -a[j0 + 3] - a[j2 + 3]; - x1r = a[j0 + 2] - a[j2 + 2]; - x1i = -a[j0 + 3] + a[j2 + 3]; - x2r = a[j1 + 2] + a[j3 + 2]; - x2i = a[j1 + 3] + a[j3 + 3]; - x3r = a[j1 + 2] - a[j3 + 2]; - x3i = a[j1 + 3] - a[j3 + 3]; - a[j0 + 2] = x0r + x2r; - a[j0 + 3] = x0i - x2i; - a[j1 + 2] = x0r - x2r; - a[j1 + 3] = x0i + x2i; - x0r = x1r + x3i; - x0i = x1i + x3r; - a[j2 + 2] = wk1i * x0r - wk1r * x0i; - a[j2 + 3] = wk1i * x0i + wk1r * x0r; - x0r = x1r - x3i; - x0i = x1i - x3r; - a[j3 + 2] = wk3i * x0r + wk3r * x0i; - a[j3 + 3] = wk3i * x0i - wk3r * x0r; -} - - -#ifdef USE_CDFT_THREADS -struct cdft_arg_st { - int n0; - int n; - double *a; - int nw; - double *w; -}; -typedef struct cdft_arg_st cdft_arg_t; - - -void cftrec4_th(int n, double *a, int nw, double *w) -{ - void *cftrec1_th(void *p); - void *cftrec2_th(void *p); - int i, idiv4, m, nthread; - cdft_thread_t th[4]; - cdft_arg_t ag[4]; - - nthread = 2; - idiv4 = 0; - m = n >> 1; - if (n > CDFT_4THREADS_BEGIN_N) { - nthread = 4; - idiv4 = 1; - m >>= 1; - } - for (i = 0; i < nthread; i++) { - ag[i].n0 = n; - ag[i].n = m; - ag[i].a = &a[i * m]; - ag[i].nw = nw; - ag[i].w = w; - if (i != idiv4) { - cdft_thread_create(&th[i], cftrec1_th, &ag[i]); - } else { - cdft_thread_create(&th[i], cftrec2_th, &ag[i]); - } - } - for (i = 0; i < nthread; i++) { - cdft_thread_wait(th[i]); - } -} - - -void *cftrec1_th(void *p) -{ - int cfttree(int n, int j, int k, double *a, int nw, double *w); - void cftleaf(int n, int isplt, double *a, int nw, double *w); - void cftmdl1(int n, double *a, double *w); - int isplt, j, k, m, n, n0, nw; - double *a, *w; - - n0 = ((cdft_arg_t *) p)->n0; - n = ((cdft_arg_t *) p)->n; - a = ((cdft_arg_t *) p)->a; - nw = ((cdft_arg_t *) p)->nw; - w = ((cdft_arg_t *) p)->w; - m = n0; - while (m > 512) { - m >>= 2; - cftmdl1(m, &a[n - m], &w[nw - (m >> 1)]); - } - cftleaf(m, 1, &a[n - m], nw, w); - k = 0; - for (j = n - m; j > 0; j -= m) { - k++; - isplt = cfttree(m, j, k, a, nw, w); - cftleaf(m, isplt, &a[j - m], nw, w); - } - return (void *) 0; -} - - -void *cftrec2_th(void *p) -{ - int cfttree(int n, int j, int k, double *a, int nw, double *w); - void cftleaf(int n, int isplt, double *a, int nw, double *w); - void cftmdl2(int n, double *a, double *w); - int isplt, j, k, m, n, n0, nw; - double *a, *w; - - n0 = ((cdft_arg_t *) p)->n0; - n = ((cdft_arg_t *) p)->n; - a = ((cdft_arg_t *) p)->a; - nw = ((cdft_arg_t *) p)->nw; - w = ((cdft_arg_t *) p)->w; - k = 1; - m = n0; - while (m > 512) { - m >>= 2; - k <<= 2; - cftmdl2(m, &a[n - m], &w[nw - m]); - } - cftleaf(m, 0, &a[n - m], nw, w); - k >>= 1; - for (j = n - m; j > 0; j -= m) { - k++; - isplt = cfttree(m, j, k, a, nw, w); - cftleaf(m, isplt, &a[j - m], nw, w); - } - return (void *) 0; -} -#endif /* USE_CDFT_THREADS */ - - -void cftrec4(int n, double *a, int nw, double *w) -{ - int cfttree(int n, int j, int k, double *a, int nw, double *w); - void cftleaf(int n, int isplt, double *a, int nw, double *w); - void cftmdl1(int n, double *a, double *w); - int isplt, j, k, m; - - m = n; - while (m > 512) { - m >>= 2; - cftmdl1(m, &a[n - m], &w[nw - (m >> 1)]); - } - cftleaf(m, 1, &a[n - m], nw, w); - k = 0; - for (j = n - m; j > 0; j -= m) { - k++; - isplt = cfttree(m, j, k, a, nw, w); - cftleaf(m, isplt, &a[j - m], nw, w); - } -} - - -int cfttree(int n, int j, int k, double *a, int nw, double *w) -{ - void cftmdl1(int n, double *a, double *w); - void cftmdl2(int n, double *a, double *w); - int i, isplt, m; - - if ((k & 3) != 0) { - isplt = k & 1; - if (isplt != 0) { - cftmdl1(n, &a[j - n], &w[nw - (n >> 1)]); - } else { - cftmdl2(n, &a[j - n], &w[nw - n]); - } - } else { - m = n; - for (i = k; (i & 3) == 0; i >>= 2) { - m <<= 2; - } - isplt = i & 1; - if (isplt != 0) { - while (m > 128) { - cftmdl1(m, &a[j - m], &w[nw - (m >> 1)]); - m >>= 2; - } - } else { - while (m > 128) { - cftmdl2(m, &a[j - m], &w[nw - m]); - m >>= 2; - } - } - } - return isplt; -} - - -void cftleaf(int n, int isplt, double *a, int nw, double *w) -{ - void cftmdl1(int n, double *a, double *w); - void cftmdl2(int n, double *a, double *w); - void cftf161(double *a, double *w); - void cftf162(double *a, double *w); - void cftf081(double *a, double *w); - void cftf082(double *a, double *w); - - if (n == 512) { - cftmdl1(128, a, &w[nw - 64]); - cftf161(a, &w[nw - 8]); - cftf162(&a[32], &w[nw - 32]); - cftf161(&a[64], &w[nw - 8]); - cftf161(&a[96], &w[nw - 8]); - cftmdl2(128, &a[128], &w[nw - 128]); - cftf161(&a[128], &w[nw - 8]); - cftf162(&a[160], &w[nw - 32]); - cftf161(&a[192], &w[nw - 8]); - cftf162(&a[224], &w[nw - 32]); - cftmdl1(128, &a[256], &w[nw - 64]); - cftf161(&a[256], &w[nw - 8]); - cftf162(&a[288], &w[nw - 32]); - cftf161(&a[320], &w[nw - 8]); - cftf161(&a[352], &w[nw - 8]); - if (isplt != 0) { - cftmdl1(128, &a[384], &w[nw - 64]); - cftf161(&a[480], &w[nw - 8]); - } else { - cftmdl2(128, &a[384], &w[nw - 128]); - cftf162(&a[480], &w[nw - 32]); - } - cftf161(&a[384], &w[nw - 8]); - cftf162(&a[416], &w[nw - 32]); - cftf161(&a[448], &w[nw - 8]); - } else { - cftmdl1(64, a, &w[nw - 32]); - cftf081(a, &w[nw - 8]); - cftf082(&a[16], &w[nw - 8]); - cftf081(&a[32], &w[nw - 8]); - cftf081(&a[48], &w[nw - 8]); - cftmdl2(64, &a[64], &w[nw - 64]); - cftf081(&a[64], &w[nw - 8]); - cftf082(&a[80], &w[nw - 8]); - cftf081(&a[96], &w[nw - 8]); - cftf082(&a[112], &w[nw - 8]); - cftmdl1(64, &a[128], &w[nw - 32]); - cftf081(&a[128], &w[nw - 8]); - cftf082(&a[144], &w[nw - 8]); - cftf081(&a[160], &w[nw - 8]); - cftf081(&a[176], &w[nw - 8]); - if (isplt != 0) { - cftmdl1(64, &a[192], &w[nw - 32]); - cftf081(&a[240], &w[nw - 8]); - } else { - cftmdl2(64, &a[192], &w[nw - 64]); - cftf082(&a[240], &w[nw - 8]); - } - cftf081(&a[192], &w[nw - 8]); - cftf082(&a[208], &w[nw - 8]); - cftf081(&a[224], &w[nw - 8]); - } -} - - -void cftmdl1(int n, double *a, double *w) -{ - int j, j0, j1, j2, j3, k, m, mh; - double wn4r, wk1r, wk1i, wk3r, wk3i; - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i; - - mh = n >> 3; - m = 2 * mh; - j1 = m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[0] + a[j2]; - x0i = a[1] + a[j2 + 1]; - x1r = a[0] - a[j2]; - x1i = a[1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[0] = x0r + x2r; - a[1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - a[j2] = x1r - x3i; - a[j2 + 1] = x1i + x3r; - a[j3] = x1r + x3i; - a[j3 + 1] = x1i - x3r; - wn4r = w[1]; - k = 0; - for (j = 2; j < mh; j += 2) { - k += 4; - wk1r = w[k]; - wk1i = w[k + 1]; - wk3r = w[k + 2]; - wk3i = w[k + 3]; - j1 = j + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j] + a[j2]; - x0i = a[j + 1] + a[j2 + 1]; - x1r = a[j] - a[j2]; - x1i = a[j + 1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[j] = x0r + x2r; - a[j + 1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wk1r * x0r - wk1i * x0i; - a[j2 + 1] = wk1r * x0i + wk1i * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = wk3r * x0r + wk3i * x0i; - a[j3 + 1] = wk3r * x0i - wk3i * x0r; - j0 = m - j; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] + a[j2]; - x0i = a[j0 + 1] + a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = a[j0 + 1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wk1i * x0r - wk1r * x0i; - a[j2 + 1] = wk1i * x0i + wk1r * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = wk3i * x0r + wk3r * x0i; - a[j3 + 1] = wk3i * x0i - wk3r * x0r; - } - j0 = mh; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] + a[j2]; - x0i = a[j0 + 1] + a[j2 + 1]; - x1r = a[j0] - a[j2]; - x1i = a[j0 + 1] - a[j2 + 1]; - x2r = a[j1] + a[j3]; - x2i = a[j1 + 1] + a[j3 + 1]; - x3r = a[j1] - a[j3]; - x3i = a[j1 + 1] - a[j3 + 1]; - a[j0] = x0r + x2r; - a[j0 + 1] = x0i + x2i; - a[j1] = x0r - x2r; - a[j1 + 1] = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - a[j2] = wn4r * (x0r - x0i); - a[j2 + 1] = wn4r * (x0i + x0r); - x0r = x1r + x3i; - x0i = x1i - x3r; - a[j3] = -wn4r * (x0r + x0i); - a[j3 + 1] = -wn4r * (x0i - x0r); -} - - -void cftmdl2(int n, double *a, double *w) -{ - int j, j0, j1, j2, j3, k, kr, m, mh; - double wn4r, wk1r, wk1i, wk3r, wk3i, wd1r, wd1i, wd3r, wd3i; - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y2r, y2i; - - mh = n >> 3; - m = 2 * mh; - wn4r = w[1]; - j1 = m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[0] - a[j2 + 1]; - x0i = a[1] + a[j2]; - x1r = a[0] + a[j2 + 1]; - x1i = a[1] - a[j2]; - x2r = a[j1] - a[j3 + 1]; - x2i = a[j1 + 1] + a[j3]; - x3r = a[j1] + a[j3 + 1]; - x3i = a[j1 + 1] - a[j3]; - y0r = wn4r * (x2r - x2i); - y0i = wn4r * (x2i + x2r); - a[0] = x0r + y0r; - a[1] = x0i + y0i; - a[j1] = x0r - y0r; - a[j1 + 1] = x0i - y0i; - y0r = wn4r * (x3r - x3i); - y0i = wn4r * (x3i + x3r); - a[j2] = x1r - y0i; - a[j2 + 1] = x1i + y0r; - a[j3] = x1r + y0i; - a[j3 + 1] = x1i - y0r; - k = 0; - kr = 2 * m; - for (j = 2; j < mh; j += 2) { - k += 4; - wk1r = w[k]; - wk1i = w[k + 1]; - wk3r = w[k + 2]; - wk3i = w[k + 3]; - kr -= 4; - wd1i = w[kr]; - wd1r = w[kr + 1]; - wd3i = w[kr + 2]; - wd3r = w[kr + 3]; - j1 = j + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j] - a[j2 + 1]; - x0i = a[j + 1] + a[j2]; - x1r = a[j] + a[j2 + 1]; - x1i = a[j + 1] - a[j2]; - x2r = a[j1] - a[j3 + 1]; - x2i = a[j1 + 1] + a[j3]; - x3r = a[j1] + a[j3 + 1]; - x3i = a[j1 + 1] - a[j3]; - y0r = wk1r * x0r - wk1i * x0i; - y0i = wk1r * x0i + wk1i * x0r; - y2r = wd1r * x2r - wd1i * x2i; - y2i = wd1r * x2i + wd1i * x2r; - a[j] = y0r + y2r; - a[j + 1] = y0i + y2i; - a[j1] = y0r - y2r; - a[j1 + 1] = y0i - y2i; - y0r = wk3r * x1r + wk3i * x1i; - y0i = wk3r * x1i - wk3i * x1r; - y2r = wd3r * x3r + wd3i * x3i; - y2i = wd3r * x3i - wd3i * x3r; - a[j2] = y0r + y2r; - a[j2 + 1] = y0i + y2i; - a[j3] = y0r - y2r; - a[j3 + 1] = y0i - y2i; - j0 = m - j; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] - a[j2 + 1]; - x0i = a[j0 + 1] + a[j2]; - x1r = a[j0] + a[j2 + 1]; - x1i = a[j0 + 1] - a[j2]; - x2r = a[j1] - a[j3 + 1]; - x2i = a[j1 + 1] + a[j3]; - x3r = a[j1] + a[j3 + 1]; - x3i = a[j1 + 1] - a[j3]; - y0r = wd1i * x0r - wd1r * x0i; - y0i = wd1i * x0i + wd1r * x0r; - y2r = wk1i * x2r - wk1r * x2i; - y2i = wk1i * x2i + wk1r * x2r; - a[j0] = y0r + y2r; - a[j0 + 1] = y0i + y2i; - a[j1] = y0r - y2r; - a[j1 + 1] = y0i - y2i; - y0r = wd3i * x1r + wd3r * x1i; - y0i = wd3i * x1i - wd3r * x1r; - y2r = wk3i * x3r + wk3r * x3i; - y2i = wk3i * x3i - wk3r * x3r; - a[j2] = y0r + y2r; - a[j2 + 1] = y0i + y2i; - a[j3] = y0r - y2r; - a[j3 + 1] = y0i - y2i; - } - wk1r = w[m]; - wk1i = w[m + 1]; - j0 = mh; - j1 = j0 + m; - j2 = j1 + m; - j3 = j2 + m; - x0r = a[j0] - a[j2 + 1]; - x0i = a[j0 + 1] + a[j2]; - x1r = a[j0] + a[j2 + 1]; - x1i = a[j0 + 1] - a[j2]; - x2r = a[j1] - a[j3 + 1]; - x2i = a[j1 + 1] + a[j3]; - x3r = a[j1] + a[j3 + 1]; - x3i = a[j1 + 1] - a[j3]; - y0r = wk1r * x0r - wk1i * x0i; - y0i = wk1r * x0i + wk1i * x0r; - y2r = wk1i * x2r - wk1r * x2i; - y2i = wk1i * x2i + wk1r * x2r; - a[j0] = y0r + y2r; - a[j0 + 1] = y0i + y2i; - a[j1] = y0r - y2r; - a[j1 + 1] = y0i - y2i; - y0r = wk1i * x1r - wk1r * x1i; - y0i = wk1i * x1i + wk1r * x1r; - y2r = wk1r * x3r - wk1i * x3i; - y2i = wk1r * x3i + wk1i * x3r; - a[j2] = y0r - y2r; - a[j2 + 1] = y0i - y2i; - a[j3] = y0r + y2r; - a[j3 + 1] = y0i + y2i; -} - - -void cftfx41(int n, double *a, int nw, double *w) -{ - void cftf161(double *a, double *w); - void cftf162(double *a, double *w); - void cftf081(double *a, double *w); - void cftf082(double *a, double *w); - - if (n == 128) { - cftf161(a, &w[nw - 8]); - cftf162(&a[32], &w[nw - 32]); - cftf161(&a[64], &w[nw - 8]); - cftf161(&a[96], &w[nw - 8]); - } else { - cftf081(a, &w[nw - 8]); - cftf082(&a[16], &w[nw - 8]); - cftf081(&a[32], &w[nw - 8]); - cftf081(&a[48], &w[nw - 8]); - } -} - - -void cftf161(double *a, double *w) -{ - double wn4r, wk1r, wk1i, - x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, - y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i, - y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i, - y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i; - - wn4r = w[1]; - wk1r = w[2]; - wk1i = w[3]; - x0r = a[0] + a[16]; - x0i = a[1] + a[17]; - x1r = a[0] - a[16]; - x1i = a[1] - a[17]; - x2r = a[8] + a[24]; - x2i = a[9] + a[25]; - x3r = a[8] - a[24]; - x3i = a[9] - a[25]; - y0r = x0r + x2r; - y0i = x0i + x2i; - y4r = x0r - x2r; - y4i = x0i - x2i; - y8r = x1r - x3i; - y8i = x1i + x3r; - y12r = x1r + x3i; - y12i = x1i - x3r; - x0r = a[2] + a[18]; - x0i = a[3] + a[19]; - x1r = a[2] - a[18]; - x1i = a[3] - a[19]; - x2r = a[10] + a[26]; - x2i = a[11] + a[27]; - x3r = a[10] - a[26]; - x3i = a[11] - a[27]; - y1r = x0r + x2r; - y1i = x0i + x2i; - y5r = x0r - x2r; - y5i = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - y9r = wk1r * x0r - wk1i * x0i; - y9i = wk1r * x0i + wk1i * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - y13r = wk1i * x0r - wk1r * x0i; - y13i = wk1i * x0i + wk1r * x0r; - x0r = a[4] + a[20]; - x0i = a[5] + a[21]; - x1r = a[4] - a[20]; - x1i = a[5] - a[21]; - x2r = a[12] + a[28]; - x2i = a[13] + a[29]; - x3r = a[12] - a[28]; - x3i = a[13] - a[29]; - y2r = x0r + x2r; - y2i = x0i + x2i; - y6r = x0r - x2r; - y6i = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - y10r = wn4r * (x0r - x0i); - y10i = wn4r * (x0i + x0r); - x0r = x1r + x3i; - x0i = x1i - x3r; - y14r = wn4r * (x0r + x0i); - y14i = wn4r * (x0i - x0r); - x0r = a[6] + a[22]; - x0i = a[7] + a[23]; - x1r = a[6] - a[22]; - x1i = a[7] - a[23]; - x2r = a[14] + a[30]; - x2i = a[15] + a[31]; - x3r = a[14] - a[30]; - x3i = a[15] - a[31]; - y3r = x0r + x2r; - y3i = x0i + x2i; - y7r = x0r - x2r; - y7i = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - y11r = wk1i * x0r - wk1r * x0i; - y11i = wk1i * x0i + wk1r * x0r; - x0r = x1r + x3i; - x0i = x1i - x3r; - y15r = wk1r * x0r - wk1i * x0i; - y15i = wk1r * x0i + wk1i * x0r; - x0r = y12r - y14r; - x0i = y12i - y14i; - x1r = y12r + y14r; - x1i = y12i + y14i; - x2r = y13r - y15r; - x2i = y13i - y15i; - x3r = y13r + y15r; - x3i = y13i + y15i; - a[24] = x0r + x2r; - a[25] = x0i + x2i; - a[26] = x0r - x2r; - a[27] = x0i - x2i; - a[28] = x1r - x3i; - a[29] = x1i + x3r; - a[30] = x1r + x3i; - a[31] = x1i - x3r; - x0r = y8r + y10r; - x0i = y8i + y10i; - x1r = y8r - y10r; - x1i = y8i - y10i; - x2r = y9r + y11r; - x2i = y9i + y11i; - x3r = y9r - y11r; - x3i = y9i - y11i; - a[16] = x0r + x2r; - a[17] = x0i + x2i; - a[18] = x0r - x2r; - a[19] = x0i - x2i; - a[20] = x1r - x3i; - a[21] = x1i + x3r; - a[22] = x1r + x3i; - a[23] = x1i - x3r; - x0r = y5r - y7i; - x0i = y5i + y7r; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - x0r = y5r + y7i; - x0i = y5i - y7r; - x3r = wn4r * (x0r - x0i); - x3i = wn4r * (x0i + x0r); - x0r = y4r - y6i; - x0i = y4i + y6r; - x1r = y4r + y6i; - x1i = y4i - y6r; - a[8] = x0r + x2r; - a[9] = x0i + x2i; - a[10] = x0r - x2r; - a[11] = x0i - x2i; - a[12] = x1r - x3i; - a[13] = x1i + x3r; - a[14] = x1r + x3i; - a[15] = x1i - x3r; - x0r = y0r + y2r; - x0i = y0i + y2i; - x1r = y0r - y2r; - x1i = y0i - y2i; - x2r = y1r + y3r; - x2i = y1i + y3i; - x3r = y1r - y3r; - x3i = y1i - y3i; - a[0] = x0r + x2r; - a[1] = x0i + x2i; - a[2] = x0r - x2r; - a[3] = x0i - x2i; - a[4] = x1r - x3i; - a[5] = x1i + x3r; - a[6] = x1r + x3i; - a[7] = x1i - x3r; -} - - -void cftf162(double *a, double *w) -{ - double wn4r, wk1r, wk1i, wk2r, wk2i, wk3r, wk3i, - x0r, x0i, x1r, x1i, x2r, x2i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, - y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i, - y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i, - y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i; - - wn4r = w[1]; - wk1r = w[4]; - wk1i = w[5]; - wk3r = w[6]; - wk3i = -w[7]; - wk2r = w[8]; - wk2i = w[9]; - x1r = a[0] - a[17]; - x1i = a[1] + a[16]; - x0r = a[8] - a[25]; - x0i = a[9] + a[24]; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - y0r = x1r + x2r; - y0i = x1i + x2i; - y4r = x1r - x2r; - y4i = x1i - x2i; - x1r = a[0] + a[17]; - x1i = a[1] - a[16]; - x0r = a[8] + a[25]; - x0i = a[9] - a[24]; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - y8r = x1r - x2i; - y8i = x1i + x2r; - y12r = x1r + x2i; - y12i = x1i - x2r; - x0r = a[2] - a[19]; - x0i = a[3] + a[18]; - x1r = wk1r * x0r - wk1i * x0i; - x1i = wk1r * x0i + wk1i * x0r; - x0r = a[10] - a[27]; - x0i = a[11] + a[26]; - x2r = wk3i * x0r - wk3r * x0i; - x2i = wk3i * x0i + wk3r * x0r; - y1r = x1r + x2r; - y1i = x1i + x2i; - y5r = x1r - x2r; - y5i = x1i - x2i; - x0r = a[2] + a[19]; - x0i = a[3] - a[18]; - x1r = wk3r * x0r - wk3i * x0i; - x1i = wk3r * x0i + wk3i * x0r; - x0r = a[10] + a[27]; - x0i = a[11] - a[26]; - x2r = wk1r * x0r + wk1i * x0i; - x2i = wk1r * x0i - wk1i * x0r; - y9r = x1r - x2r; - y9i = x1i - x2i; - y13r = x1r + x2r; - y13i = x1i + x2i; - x0r = a[4] - a[21]; - x0i = a[5] + a[20]; - x1r = wk2r * x0r - wk2i * x0i; - x1i = wk2r * x0i + wk2i * x0r; - x0r = a[12] - a[29]; - x0i = a[13] + a[28]; - x2r = wk2i * x0r - wk2r * x0i; - x2i = wk2i * x0i + wk2r * x0r; - y2r = x1r + x2r; - y2i = x1i + x2i; - y6r = x1r - x2r; - y6i = x1i - x2i; - x0r = a[4] + a[21]; - x0i = a[5] - a[20]; - x1r = wk2i * x0r - wk2r * x0i; - x1i = wk2i * x0i + wk2r * x0r; - x0r = a[12] + a[29]; - x0i = a[13] - a[28]; - x2r = wk2r * x0r - wk2i * x0i; - x2i = wk2r * x0i + wk2i * x0r; - y10r = x1r - x2r; - y10i = x1i - x2i; - y14r = x1r + x2r; - y14i = x1i + x2i; - x0r = a[6] - a[23]; - x0i = a[7] + a[22]; - x1r = wk3r * x0r - wk3i * x0i; - x1i = wk3r * x0i + wk3i * x0r; - x0r = a[14] - a[31]; - x0i = a[15] + a[30]; - x2r = wk1i * x0r - wk1r * x0i; - x2i = wk1i * x0i + wk1r * x0r; - y3r = x1r + x2r; - y3i = x1i + x2i; - y7r = x1r - x2r; - y7i = x1i - x2i; - x0r = a[6] + a[23]; - x0i = a[7] - a[22]; - x1r = wk1i * x0r + wk1r * x0i; - x1i = wk1i * x0i - wk1r * x0r; - x0r = a[14] + a[31]; - x0i = a[15] - a[30]; - x2r = wk3i * x0r - wk3r * x0i; - x2i = wk3i * x0i + wk3r * x0r; - y11r = x1r + x2r; - y11i = x1i + x2i; - y15r = x1r - x2r; - y15i = x1i - x2i; - x1r = y0r + y2r; - x1i = y0i + y2i; - x2r = y1r + y3r; - x2i = y1i + y3i; - a[0] = x1r + x2r; - a[1] = x1i + x2i; - a[2] = x1r - x2r; - a[3] = x1i - x2i; - x1r = y0r - y2r; - x1i = y0i - y2i; - x2r = y1r - y3r; - x2i = y1i - y3i; - a[4] = x1r - x2i; - a[5] = x1i + x2r; - a[6] = x1r + x2i; - a[7] = x1i - x2r; - x1r = y4r - y6i; - x1i = y4i + y6r; - x0r = y5r - y7i; - x0i = y5i + y7r; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - a[8] = x1r + x2r; - a[9] = x1i + x2i; - a[10] = x1r - x2r; - a[11] = x1i - x2i; - x1r = y4r + y6i; - x1i = y4i - y6r; - x0r = y5r + y7i; - x0i = y5i - y7r; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - a[12] = x1r - x2i; - a[13] = x1i + x2r; - a[14] = x1r + x2i; - a[15] = x1i - x2r; - x1r = y8r + y10r; - x1i = y8i + y10i; - x2r = y9r - y11r; - x2i = y9i - y11i; - a[16] = x1r + x2r; - a[17] = x1i + x2i; - a[18] = x1r - x2r; - a[19] = x1i - x2i; - x1r = y8r - y10r; - x1i = y8i - y10i; - x2r = y9r + y11r; - x2i = y9i + y11i; - a[20] = x1r - x2i; - a[21] = x1i + x2r; - a[22] = x1r + x2i; - a[23] = x1i - x2r; - x1r = y12r - y14i; - x1i = y12i + y14r; - x0r = y13r + y15i; - x0i = y13i - y15r; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - a[24] = x1r + x2r; - a[25] = x1i + x2i; - a[26] = x1r - x2r; - a[27] = x1i - x2i; - x1r = y12r + y14i; - x1i = y12i - y14r; - x0r = y13r - y15i; - x0i = y13i + y15r; - x2r = wn4r * (x0r - x0i); - x2i = wn4r * (x0i + x0r); - a[28] = x1r - x2i; - a[29] = x1i + x2r; - a[30] = x1r + x2i; - a[31] = x1i - x2r; -} - - -void cftf081(double *a, double *w) -{ - double wn4r, x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, - y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i; - - wn4r = w[1]; - x0r = a[0] + a[8]; - x0i = a[1] + a[9]; - x1r = a[0] - a[8]; - x1i = a[1] - a[9]; - x2r = a[4] + a[12]; - x2i = a[5] + a[13]; - x3r = a[4] - a[12]; - x3i = a[5] - a[13]; - y0r = x0r + x2r; - y0i = x0i + x2i; - y2r = x0r - x2r; - y2i = x0i - x2i; - y1r = x1r - x3i; - y1i = x1i + x3r; - y3r = x1r + x3i; - y3i = x1i - x3r; - x0r = a[2] + a[10]; - x0i = a[3] + a[11]; - x1r = a[2] - a[10]; - x1i = a[3] - a[11]; - x2r = a[6] + a[14]; - x2i = a[7] + a[15]; - x3r = a[6] - a[14]; - x3i = a[7] - a[15]; - y4r = x0r + x2r; - y4i = x0i + x2i; - y6r = x0r - x2r; - y6i = x0i - x2i; - x0r = x1r - x3i; - x0i = x1i + x3r; - x2r = x1r + x3i; - x2i = x1i - x3r; - y5r = wn4r * (x0r - x0i); - y5i = wn4r * (x0r + x0i); - y7r = wn4r * (x2r - x2i); - y7i = wn4r * (x2r + x2i); - a[8] = y1r + y5r; - a[9] = y1i + y5i; - a[10] = y1r - y5r; - a[11] = y1i - y5i; - a[12] = y3r - y7i; - a[13] = y3i + y7r; - a[14] = y3r + y7i; - a[15] = y3i - y7r; - a[0] = y0r + y4r; - a[1] = y0i + y4i; - a[2] = y0r - y4r; - a[3] = y0i - y4i; - a[4] = y2r - y6i; - a[5] = y2i + y6r; - a[6] = y2r + y6i; - a[7] = y2i - y6r; -} - - -void cftf082(double *a, double *w) -{ - double wn4r, wk1r, wk1i, x0r, x0i, x1r, x1i, - y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i, - y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i; - - wn4r = w[1]; - wk1r = w[2]; - wk1i = w[3]; - y0r = a[0] - a[9]; - y0i = a[1] + a[8]; - y1r = a[0] + a[9]; - y1i = a[1] - a[8]; - x0r = a[4] - a[13]; - x0i = a[5] + a[12]; - y2r = wn4r * (x0r - x0i); - y2i = wn4r * (x0i + x0r); - x0r = a[4] + a[13]; - x0i = a[5] - a[12]; - y3r = wn4r * (x0r - x0i); - y3i = wn4r * (x0i + x0r); - x0r = a[2] - a[11]; - x0i = a[3] + a[10]; - y4r = wk1r * x0r - wk1i * x0i; - y4i = wk1r * x0i + wk1i * x0r; - x0r = a[2] + a[11]; - x0i = a[3] - a[10]; - y5r = wk1i * x0r - wk1r * x0i; - y5i = wk1i * x0i + wk1r * x0r; - x0r = a[6] - a[15]; - x0i = a[7] + a[14]; - y6r = wk1i * x0r - wk1r * x0i; - y6i = wk1i * x0i + wk1r * x0r; - x0r = a[6] + a[15]; - x0i = a[7] - a[14]; - y7r = wk1r * x0r - wk1i * x0i; - y7i = wk1r * x0i + wk1i * x0r; - x0r = y0r + y2r; - x0i = y0i + y2i; - x1r = y4r + y6r; - x1i = y4i + y6i; - a[0] = x0r + x1r; - a[1] = x0i + x1i; - a[2] = x0r - x1r; - a[3] = x0i - x1i; - x0r = y0r - y2r; - x0i = y0i - y2i; - x1r = y4r - y6r; - x1i = y4i - y6i; - a[4] = x0r - x1i; - a[5] = x0i + x1r; - a[6] = x0r + x1i; - a[7] = x0i - x1r; - x0r = y1r - y3i; - x0i = y1i + y3r; - x1r = y5r - y7r; - x1i = y5i - y7i; - a[8] = x0r + x1r; - a[9] = x0i + x1i; - a[10] = x0r - x1r; - a[11] = x0i - x1i; - x0r = y1r + y3i; - x0i = y1i - y3r; - x1r = y5r + y7r; - x1i = y5i + y7i; - a[12] = x0r - x1i; - a[13] = x0i + x1r; - a[14] = x0r + x1i; - a[15] = x0i - x1r; -} - - -void cftf040(double *a) -{ - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i; - - x0r = a[0] + a[4]; - x0i = a[1] + a[5]; - x1r = a[0] - a[4]; - x1i = a[1] - a[5]; - x2r = a[2] + a[6]; - x2i = a[3] + a[7]; - x3r = a[2] - a[6]; - x3i = a[3] - a[7]; - a[0] = x0r + x2r; - a[1] = x0i + x2i; - a[2] = x1r - x3i; - a[3] = x1i + x3r; - a[4] = x0r - x2r; - a[5] = x0i - x2i; - a[6] = x1r + x3i; - a[7] = x1i - x3r; -} - - -void cftb040(double *a) -{ - double x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i; - - x0r = a[0] + a[4]; - x0i = a[1] + a[5]; - x1r = a[0] - a[4]; - x1i = a[1] - a[5]; - x2r = a[2] + a[6]; - x2i = a[3] + a[7]; - x3r = a[2] - a[6]; - x3i = a[3] - a[7]; - a[0] = x0r + x2r; - a[1] = x0i + x2i; - a[2] = x1r + x3i; - a[3] = x1i - x3r; - a[4] = x0r - x2r; - a[5] = x0i - x2i; - a[6] = x1r - x3i; - a[7] = x1i + x3r; -} - - -void cftx020(double *a) -{ - double x0r, x0i; - - x0r = a[0] - a[2]; - x0i = a[1] - a[3]; - a[0] += a[2]; - a[1] += a[3]; - a[2] = x0r; - a[3] = x0i; -} - - -void rftfsub(int n, double *a, int nc, double *c) -{ - int j, k, kk, ks, m; - double wkr, wki, xr, xi, yr, yi; - - m = n >> 1; - ks = 2 * nc / m; - kk = 0; - for (j = 2; j < m; j += 2) { - k = n - j; - kk += ks; - wkr = 0.5 - c[nc - kk]; - wki = c[kk]; - xr = a[j] - a[k]; - xi = a[j + 1] + a[k + 1]; - yr = wkr * xr - wki * xi; - yi = wkr * xi + wki * xr; - a[j] -= yr; - a[j + 1] -= yi; - a[k] += yr; - a[k + 1] -= yi; - } -} - - -void rftbsub(int n, double *a, int nc, double *c) -{ - int j, k, kk, ks, m; - double wkr, wki, xr, xi, yr, yi; - - m = n >> 1; - ks = 2 * nc / m; - kk = 0; - for (j = 2; j < m; j += 2) { - k = n - j; - kk += ks; - wkr = 0.5 - c[nc - kk]; - wki = c[kk]; - xr = a[j] - a[k]; - xi = a[j + 1] + a[k + 1]; - yr = wkr * xr + wki * xi; - yi = wkr * xi - wki * xr; - a[j] -= yr; - a[j + 1] -= yi; - a[k] += yr; - a[k + 1] -= yi; - } -} - - -void dctsub(int n, double *a, int nc, double *c) -{ - int j, k, kk, ks, m; - double wkr, wki, xr; - - m = n >> 1; - ks = nc / n; - kk = 0; - for (j = 1; j < m; j++) { - k = n - j; - kk += ks; - wkr = c[kk] - c[nc - kk]; - wki = c[kk] + c[nc - kk]; - xr = wki * a[j] - wkr * a[k]; - a[j] = wkr * a[j] + wki * a[k]; - a[k] = xr; - } - a[m] *= c[0]; -} - - -void dstsub(int n, double *a, int nc, double *c) -{ - int j, k, kk, ks, m; - double wkr, wki, xr; - - m = n >> 1; - ks = nc / n; - kk = 0; - for (j = 1; j < m; j++) { - k = n - j; - kk += ks; - wkr = c[kk] - c[nc - kk]; - wki = c[kk] + c[nc - kk]; - xr = wki * a[k] - wkr * a[j]; - a[k] = wkr * a[k] + wki * a[j]; - a[j] = xr; - } - a[m] *= c[0]; -} diff --git a/third_party/ooura/fftsg_float.c b/third_party/ooura/fftsg_float.c deleted file mode 100644 index aa0e970..0000000 --- a/third_party/ooura/fftsg_float.c +++ /dev/null @@ -1,62 +0,0 @@ -/* Single-precision instantiation of Ooura's fftsg.c. - * - * fftsg.c is written for double throughout. Embedded targets in MuTap's - * real-time profile (e.g. Cortex-M55, whose FPU is single-precision only) - * need a float FFT: this file compiles the same, unmodified fftsg.c source - * a second time with `double` mapped to `float` and every file-scope symbol - * suffixed `_f` so both precisions can link into one binary. - * - * must be included BEFORE the `double` remap so the libm - * declarations keep their real prototypes; fftsg.c's own include then - * becomes a no-op via the header guard. - * - * The underlying algorithm and code remain Takuya Ooura's; see readme.txt - * for the license/attribution terms. - */ - -#include - -#define double float - -/* Public API */ -#define cdft cdft_f -#define rdft rdft_f -#define ddct ddct_f -#define ddst ddst_f -#define dfct dfct_f -#define dfst dfst_f - -/* File-scope helpers (fftsg.c defines these as externally visible) */ -#define makewt makewt_f -#define makeipt makeipt_f -#define makect makect_f -#define cftfsub cftfsub_f -#define cftbsub cftbsub_f -#define bitrv2 bitrv2_f -#define bitrv2conj bitrv2conj_f -#define bitrv216 bitrv216_f -#define bitrv216neg bitrv216neg_f -#define bitrv208 bitrv208_f -#define bitrv208neg bitrv208neg_f -#define cftf1st cftf1st_f -#define cftb1st cftb1st_f -#define cftrec4_th cftrec4_th_f -#define cftrec4 cftrec4_f -#define cfttree cfttree_f -#define cftleaf cftleaf_f -#define cftmdl1 cftmdl1_f -#define cftmdl2 cftmdl2_f -#define cftfx41 cftfx41_f -#define cftf161 cftf161_f -#define cftf162 cftf162_f -#define cftf081 cftf081_f -#define cftf082 cftf082_f -#define cftf040 cftf040_f -#define cftb040 cftb040_f -#define cftx020 cftx020_f -#define rftfsub rftfsub_f -#define rftbsub rftbsub_f -#define dctsub dctsub_f -#define dstsub dstsub_f - -#include "fftsg.c" diff --git a/third_party/ooura/readme.txt b/third_party/ooura/readme.txt deleted file mode 100644 index ba49401..0000000 --- a/third_party/ooura/readme.txt +++ /dev/null @@ -1,166 +0,0 @@ -General Purpose FFT (Fast Fourier/Cosine/Sine Transform) Package - -Description: - A package to calculate Discrete Fourier/Cosine/Sine Transforms of - 1-dimensional sequences of length 2^N. - -Files: - fft4g.c : FFT Package in C - Fast Version I (radix 4,2) - fft4g.f : FFT Package in Fortran - Fast Version I (radix 4,2) - fft4g_h.c : FFT Package in C - Simple Version I (radix 4,2) - fft8g.c : FFT Package in C - Fast Version II (radix 8,4,2) - fft8g.f : FFT Package in Fortran - Fast Version II (radix 8,4,2) - fft8g_h.c : FFT Package in C - Simple Version II (radix 8,4,2) - fftsg.c : FFT Package in C - Fast Version III (Split-Radix) - fftsg.f : FFT Package in Fortran - Fast Version III (Split-Radix) - fftsg_h.c : FFT Package in C - Simple Version III (Split-Radix) - readme.txt : Readme File - sample1/ : Test Directory - Makefile : for gcc, cc - Makefile.f77: for Fortran - testxg.c : Test Program for "fft*g.c" - testxg.f : Test Program for "fft*g.f" - testxg_h.c : Test Program for "fft*g_h.c" - sample2/ : Benchmark Directory - Makefile : for gcc, cc - Makefile.pth: POSIX Thread version - pi_fft.c : PI(= 3.1415926535897932384626...) Calculation Program - for a Benchmark Test for "fft*g.c" - -Difference of the Files: - C and Fortran versions are equal and - the same routines are in each version. - "fft4g*.*" are optimized for most machines. - "fft8g*.*" are fast on the UltraSPARC. - "fftsg*.*" are optimized for the machines that - have the multi-level (L1,L2,etc) cache. - The simple versions "fft*g_h.c" use no work area, but - the fast versions "fft*g.*" use work areas. - The fast versions "fft*g.*" have the same specification. - -Routines in the Package: - cdft: Complex Discrete Fourier Transform - rdft: Real Discrete Fourier Transform - ddct: Discrete Cosine Transform - ddst: Discrete Sine Transform - dfct: Cosine Transform of RDFT (Real Symmetric DFT) - dfst: Sine Transform of RDFT (Real Anti-symmetric DFT) - -Usage: - Please refer to the comments in the "fft**.*" file which - you want to use. Brief explanations are in the block - comments of each package. The examples are also given in - the test programs. - -Method: - -------- cdft -------- - fft4g*.*, fft8g*.*: - A method of in-place, radix 2^M, Sande-Tukey (decimation in - frequency). Index of the butterfly loop is in bit - reverse order to keep continuous memory access. - fftsg*.*: - A method of in-place, Split-Radix, recursive fast - algorithm. - -------- rdft -------- - A method with a following butterfly operation appended to "cdft". - In forward transform : - A[k] = sum_j=0^n-1 a[j]*W(n)^(j*k), 0<=k<=n/2, - W(n) = exp(2*pi*i/n), - this routine makes an array x[] : - x[j] = a[2*j] + i*a[2*j+1], 0<=j impl; + tap::mu::partitioned_fdaf impl; }; -using speech_afc = mutap::pem_afc; -using warped_afc = mutap::pem_afc>; -using kalman_speech_afc = mutap::pem_afc, mutap::partitioned_fdkf>; -using kalman_warped_afc = mutap::pem_afc, mutap::partitioned_fdkf>; +using speech_afc = tap::mu::pem_afc; +using warped_afc = tap::mu::pem_afc>; +using kalman_speech_afc = + tap::mu::pem_afc, tap::mu::partitioned_fdkf>; +using kalman_warped_afc = + tap::mu::pem_afc, tap::mu::partitioned_fdkf>; struct MutapAfc { std::variant impl; }; struct MutapAec { - mutap::aec_chain impl; + tap::mu::aec_chain impl; }; unsigned mutap_version(void) { @@ -53,10 +55,10 @@ unsigned mutap_version(void) { MutapFdaf* mutap_fdaf_create(size_t block_size, size_t partitions, double step_size, double relative_regularization, int ipc_step_scaling, double transient_freeze_ratio) { try { - mutap::partitioned_fdaf::config cfg; + tap::mu::partitioned_fdaf::config cfg; apply_shared_knobs(cfg, block_size, partitions, step_size, relative_regularization, ipc_step_scaling, transient_freeze_ratio); - return new MutapFdaf{mutap::partitioned_fdaf(cfg)}; + return new MutapFdaf{tap::mu::partitioned_fdaf(cfg)}; } catch (...) { return nullptr; @@ -246,12 +248,12 @@ MutapAec* mutap_aec_create(size_t block_size, size_t partitions, double sample_r if (sample_rate <= 0.0) { return nullptr; } - auto cfg = mutap::aec_chain_preset(block_size, partitions, sample_rate); + auto cfg = tap::mu::aec_chain_preset(block_size, partitions, sample_rate); cfg.postfilter.comfort_noise = comfort_noise != 0; if (receive_guard == 0) { cfg.guard_attenuation_db = 0.0; } - return new MutapAec{mutap::aec_chain(cfg)}; + return new MutapAec{tap::mu::aec_chain(cfg)}; } catch (...) { return nullptr; diff --git a/tools/capi/mutap_capi.h b/tools/capi/mutap_capi.h index 2fdae59..b77ff8a 100644 --- a/tools/capi/mutap_capi.h +++ b/tools/capi/mutap_capi.h @@ -5,17 +5,17 @@ * prototypes); it must stay in sync with mutap_capi.cpp. * * Three families, mirroring the C++ API: - * mutap_fdaf_* — the naive partitioned-block FDAF (mutap::partitioned_fdaf); + * mutap_fdaf_* — the naive partitioned-block FDAF (tap::mu::partitioned_fdaf); * an open-loop echo canceller, and the biased-baseline * comparator for closed-loop feedback demos. * mutap_afc_* — the PEM-prewhitened feedback canceller - * (mutap::pem_afc with the speech-cascade + * (tap::mu::pem_afc with the speech-cascade * near-end model). * mutap_aec_* — the full acoustic-echo-cancellation chain - * (mutap::aec_chain): raw FD-Kalman canceller + + * (tap::mu::aec_chain): raw FD-Kalman canceller + * residual suppressor + comfort noise + initial receive * guard, built from the ITU compliance preset - * (mutap::aec_chain_preset). + * (tap::mu::aec_chain_preset). * * All process calls handle EXACTLY the configured block size per call. * Errors: create returns NULL on invalid configuration. Every function @@ -105,8 +105,8 @@ void mutap_afc_reset(MutapAfc* h); /* Deep copy, as mutap_fdaf_clone. */ MutapAfc* mutap_afc_clone(const MutapAfc* h); -/* The measured AEC chain (mutap::aec_chain), configured by the - * ITU compliance preset (mutap::aec_chain_preset): the raw FD-Kalman +/* The measured AEC chain (tap::mu::aec_chain), configured by the + * ITU compliance preset (tap::mu::aec_chain_preset): the raw FD-Kalman * canceller — deliberately NOT PEM; open-loop AEC has an exogenous far * end and the predictor refit measurably floors the misalignment — plus * the coherence-driven residual suppressor, comfort noise matched to the diff --git a/tools/notebook/build_afc_demo.py b/tools/notebook/build_afc_demo.py index c9ea814..902aff2 100644 --- a/tools/notebook/build_afc_demo.py +++ b/tools/notebook/build_afc_demo.py @@ -334,7 +334,7 @@ def howls(k_db): BLOCKS_ID = sum(nb for _, nb in STAGES) v = tonal(BLOCKS_ID * BLOCK, seed=2) results = {} -for name, factory, col in (("PEM (mutap::pem_afc)", pem, C_PEM), +for name, factory, col in (("PEM (tap::mu::pem_afc)", pem, C_PEM), ("naive FDAF", lambda: naive(rel_reg=0.0), C_NAIVE)): c = factory() loop = ClosedLoop(F, STAGES[0][0]) @@ -424,7 +424,7 @@ def howls(k_db): uniformly over frequency (its poles crowd $z=1$, exactly where the ridge-guarded analysis is stiffest). -`mutap::warped_lpc_predictor` replaces every unit delay in the predictor +`tap::mu::warped_lpc_predictor` replaces every unit delay in the predictor with a first-order allpass, warping the frequency axis so the same order concentrates its resolution in the bass ($\lambda = 0.766$ approximates the Bark scale at 48 kHz; the room-robust default is $\lambda = 0.5$, @@ -781,9 +781,9 @@ def howls(k_db): [`tests/`](../tests): the closed-loop harness, the M2 naive-bias baseline, the M3 PEM pass criteria, and the M4 adaptation-control behavior. - The Kalman core is selectable wherever the NLMS core is: - `mutap::pem_afc>`. + `tap::mu::pem_afc>`. - The Max/MSP externals (in [MuTap-Max](https://github.com/tap/MuTap-Max)) - wrap `mutap::pem_afc` exactly as driven here: `mutap.afc~` closes the + wrap `tap::mu::pem_afc` exactly as driven here: `mutap.afc~` closes the feedback loop of sections 1-7, `mutap.aec~` is the open-loop echo canceller of section 8. `@warp` selects the frequency-warped near-end model demonstrated above (and, on the classic engine, enables the IPC diff --git a/tools/notebook/build_itu_compliance.py b/tools/notebook/build_itu_compliance.py index 2259f6e..1890c69 100644 --- a/tools/notebook/build_itu_compliance.py +++ b/tools/notebook/build_itu_compliance.py @@ -27,7 +27,7 @@ md("""# MuTap — ITU-T echo-canceller compliance, proven -MuTap's acoustic echo canceller — `mutap::aec_chain`, the raw partitioned +MuTap's acoustic echo canceller — `tap::mu::aec_chain`, the raw partitioned frequency-domain **Kalman** canceller plus the coherence-driven **residual suppressor** and **comfort noise** of `mutap/postfilter.h` — claims compliance against the in-force ITU-T automotive/hands-free @@ -134,14 +134,14 @@ def band_axis(ax): One configuration is pinned for the whole battery — compliance for a family of tunings is no compliance at all: -- **Canceller:** `mutap::partitioned_fdkf`, block 256 at *both* +- **Canceller:** `tap::mu::partitioned_fdkf`, block 256 at *both* rates (a scaled-down block 128 used to collapse the partitioned Kalman's convergence at 16 kHz — since diagnosed as a CSS-comb × 8 ms-hop rank-deficiency notch and closed by preset-enabled core counter-measures outside the certified geometries; `HANDOFF.md` carries the story), 2048 taps at 48 kHz / 1024 at 16 kHz ≈ 43/64 ms of echo path, transition 0.9998, initial uncertainty 10. -- **Suppressor:** `mutap::residual_suppressor` at library defaults, with +- **Suppressor:** `tap::mu::residual_suppressor` at library defaults, with every per-block time constant rescaled so the *physical* time constants match across rates, the low-band suppression cap from 300 Hz, and the comfort-noise floor bias calibrated per rate diff --git a/tools/notebook/itu_dump.cpp b/tools/notebook/itu_dump.cpp index bdde630..e827662 100644 --- a/tools/notebook/itu_dump.cpp +++ b/tools/notebook/itu_dump.cpp @@ -108,7 +108,7 @@ namespace { // truth; keep any change here in lockstep. struct raw_kalman { - mutap::partitioned_fdkf core; + tap::mu::partitioned_fdkf core; explicit raw_kalman(const compliance_chain::config& c) : core(c.canceller) {} void process_block(const double* x, const double* y, double* e) noexcept { core.process_block(x, y, e); } From ac26b8eb3e935a6a3789edea9124098281d444d3 Mon Sep 17 00:00:00 2001 From: Claude Date: Tue, 21 Jul 2026 12:31:48 +0000 Subject: [PATCH 3/5] Re-pin the DspTap submodule to main MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Move the submodule pin off the pre-merge feature-branch commit (48f2629) onto DspTap main (9cbfbca). Main additionally carries the double-engine float-I/O overloads, which MuTap does not use (C++20-constrained, additive) — verified the build is unaffected. Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_01MRTDgYKY38WH8Bqz17W9k1 --- submodules/dsptap | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/submodules/dsptap b/submodules/dsptap index 48f2629..9cbfbca 160000 --- a/submodules/dsptap +++ b/submodules/dsptap @@ -1 +1 @@ -Subproject commit 48f262997e1830bb247e2ec5bedac39524b5fa3c +Subproject commit 9cbfbca6670bdc929bab2804c713b60dad8b1c0a From 26447f7f77ece9d5264119d57e0180fc789b8a32 Mon Sep 17 00:00:00 2001 From: Claude Date: Tue, 21 Jul 2026 12:49:44 +0000 Subject: [PATCH 4/5] CI: check out submodules recursively MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit MuTap gained a submodule (submodules/dsptap) when it moved to the shared FFT, but the workflows predate that and checked out without submodules, so every build/clang-tidy job failed at configure (submodules/dsptap empty → add_subdirectory has no CMakeLists.txt). Add `submodules: recursive` to every actions/checkout step. Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_01MRTDgYKY38WH8Bqz17W9k1 --- .github/workflows/ci.yml | 16 ++++++++++++++++ .github/workflows/style.yml | 2 ++ 2 files changed, 18 insertions(+) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index bd945a8..7b20a90 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -36,6 +36,8 @@ jobs: werror: OFF steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Configure env: @@ -57,6 +59,8 @@ jobs: runs-on: ubuntu-latest steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Configure env: @@ -89,6 +93,8 @@ jobs: timeout-minutes: 45 steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Install toolchain and QEMU run: > @@ -144,6 +150,8 @@ jobs: TOOLCHAIN: clang+llvm-19.1.5-cross-hexagon-unknown-linux-musl steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Install QEMU run: > @@ -194,6 +202,8 @@ jobs: timeout-minutes: 15 steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Configure run: > @@ -219,6 +229,8 @@ jobs: timeout-minutes: 10 steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Compile both forms and diff the fingerprint run: | set -e @@ -260,6 +272,8 @@ jobs: TOOLCHAIN: clang+llvm-19.1.5-cross-hexagon-unknown-linux-musl steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive - name: Install toolchains and QEMU run: > @@ -369,6 +383,8 @@ jobs: runs-on: ubuntu-latest steps: - uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6 + with: + submodules: recursive # Run the TapHouse pre-commit hook — the exact same pinned clang-format # developers get from `pre-commit install` (.pre-commit-config.yaml). CI # and local therefore share one clang-format version by construction, and diff --git a/.github/workflows/style.yml b/.github/workflows/style.yml index 11acba3..c69e0ff 100644 --- a/.github/workflows/style.yml +++ b/.github/workflows/style.yml @@ -16,6 +16,8 @@ jobs: timeout-minutes: 30 steps: - uses: actions/checkout@v4 + with: + submodules: recursive - name: Install tools run: sudo apt-get update && sudo apt-get install -y clang-tidy-18 cmake python3 - name: Configure (compile database) From 68752a3599b0d3f1c09186158f05aae393b37023 Mon Sep 17 00:00:00 2001 From: Claude Date: Tue, 21 Jul 2026 13:11:38 +0000 Subject: [PATCH 5/5] CI: point the direct-compile jobs at the DspTap submodule The suppressor branch-free/branchy parity job compiles the Ooura sources and the parity harness directly (bypassing CMake). The vendored Ooura moved into the DspTap submodule, so update the paths (third_party/ooura -> submodules/dsptap/third_party/ooura) and add -Isubmodules/dsptap/include (the harness pulls mutap/fft.h, now a shim over tap/dsp/fft.h). Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_01MRTDgYKY38WH8Bqz17W9k1 --- .github/workflows/ci.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 7b20a90..5591d80 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -235,10 +235,10 @@ jobs: run: | set -e # Ooura is C: compile with gcc so g++ does not name-mangle rdft/rdft_f. - gcc -O2 -c third_party/ooura/fftsg.c -o /tmp/fftsg.o - gcc -O2 -c third_party/ooura/fftsg_float.c -o /tmp/fftsg_float.o + gcc -O2 -c submodules/dsptap/third_party/ooura/fftsg.c -o /tmp/fftsg.o + gcc -O2 -c submodules/dsptap/third_party/ooura/fftsg_float.c -o /tmp/fftsg_float.o for bl in 0 1; do - g++ -std=c++20 -O2 -DMUTAP_SUPPRESSOR_BRANCHLESS=$bl -Iinclude \ + g++ -std=c++20 -O2 -DMUTAP_SUPPRESSOR_BRANCHLESS=$bl -Iinclude -Isubmodules/dsptap/include \ tests/branchless_parity_check.cpp /tmp/fftsg.o /tmp/fftsg_float.o -o /tmp/parity_$bl /tmp/parity_$bl | tee /tmp/out_$bl done