From 11d88e724413fd851d3302156b091fe280bc3796 Mon Sep 17 00:00:00 2001 From: Jianming Tong Date: Thu, 7 May 2026 21:26:21 -0700 Subject: [PATCH] Update jaxite_ec with latest research results Paper: https://arxiv.org/abs/2604.17808 Tutorial: https://efficientppml.github.io/CROSS_Tutorial/ Enabling AI ASICs for Zero Knowledge Proof Jianming Tong, Jingtian Dang, Simon Langowski, Tianhao Huang, Asra Ali, Jeremy Kun, Jevin Jiang, Srinivas Devadas, Tushar Krishna Zero-knowledge proof (ZKP) provers remain costly because multi-scalar multiplication (MSM) and number-theoretic transforms (NTTs) dominate runtime as they need significant computation. AI ASICs such as TPUs provide massive matrix throughput and SotA energy efficiency. We present MORPH, the first framework that reformulates ZKP kernels to match AI-ASIC execution. We introduce Big-T complexity, a hardware-aware complexity model that exposes heterogeneous bottlenecks and layout-transformation costs ignored by Big-O. Guided by this analysis, (1) at arithmetic level, MORPH develops an MXU-centric extended-RNS lazy reduction that converts high-precision modular arithmetic into dense low-precision GEMMs, eliminating all carry chains, and (2) at dataflow level, MORPH constructs a unified-sharding layout-stationary TPU Pippenger MSM and optimized 3/5-step NTT that avoid on-TPU shuffles to minimize costly memory reorganization. Implemented in JAX, MORPH enables TPUv6e8 to achieve up-to 10x higher throughput on NTT and comparable throughput on MSM than GZKP. PiperOrigin-RevId: 912308691 --- .github/workflows/build_and_test.yml | 5 +- .github/workflows/periodic_tests.yml | 5 +- BUILD | 124 +- MODULE.bazel | 1 + jaxite_ec/Morph_logo.png | Bin 0 -> 3033677 bytes jaxite_ec/README.md | 227 ++ jaxite_ec/__init__.py | 0 jaxite_ec/algorithm/big_integer.py | 169 - jaxite_ec/algorithm/config_file.py | 46 - jaxite_ec/algorithm/elliptic_curve.py | 775 ----- jaxite_ec/algorithm/finite_field.py | 304 -- jaxite_ec/algorithm/lazy_reduction.py | 91 - jaxite_ec/algorithm/rns_mod_reduce.py | 419 --- jaxite_ec/algorithm/util.py | 68 - jaxite_ec/c_kernels/BUILD | 24 + jaxite_ec/c_kernels/build.py | 103 + jaxite_ec/c_kernels/distribution.cpp | 1151 +++++++ jaxite_ec/configurations.toml | 30 + ...ze_msm_curve_377_bases_dim_1024_seed_0.csv | 2 +- ...rize_msm_curve_377_res_dim_1024_seed_0.csv | 2 +- ..._msm_curve_377_scalars_dim_1024_seed_0.csv | 2 +- jaxite_ec/elliptic_curve.py | 896 ------ jaxite_ec/elliptic_curve_context.py | 818 +++++ jaxite_ec/elliptic_curve_perf_test.py | 73 + jaxite_ec/elliptic_curve_test.py | 1023 +----- jaxite_ec/finite_field.py | 976 ------ jaxite_ec/finite_field_context.py | 1204 +++++++ jaxite_ec/finite_field_perf_test.py | 108 + jaxite_ec/finite_field_test.py | 300 +- jaxite_ec/msm_test.py | 730 ----- .../multiscalar_multiplication_context.py | 2772 +++++++++++++++++ .../multiscalar_multiplication_perf_test.py | 211 ++ jaxite_ec/multiscalar_multiplication_test.py | 126 + jaxite_ec/number_theory_transform_context.py | 834 +++++ .../number_theory_transform_perf_test.py | 447 +++ jaxite_ec/number_theory_transform_test.py | 428 +++ jaxite_ec/pippenger.py | 1319 -------- jaxite_ec/pippenger_rns.py | 1057 ------- jaxite_ec/profiler.py | 1067 +++++++ ...prize_msm_curve_377_bases_dim_1_seed_0.csv | 1 - .../zprize_msm_curve_377_res_dim_1_seed_0.csv | 1 - ...ize_msm_curve_377_scalars_dim_1_seed_0.csv | 1 - ...prize_msm_curve_377_bases_dim_2_seed_0.csv | 2 - .../zprize_msm_curve_377_res_dim_2_seed_0.csv | 1 - ...ize_msm_curve_377_scalars_dim_2_seed_0.csv | 2 - ...prize_msm_curve_377_bases_dim_4_seed_0.csv | 4 - .../zprize_msm_curve_377_res_dim_4_seed_0.csv | 1 - ...ize_msm_curve_377_scalars_dim_4_seed_0.csv | 4 - ...prize_msm_curve_377_bases_dim_8_seed_0.csv | 8 - .../zprize_msm_curve_377_res_dim_8_seed_0.csv | 1 - ...ize_msm_curve_377_scalars_dim_8_seed_0.csv | 8 - jaxite_ec/util.py | 628 ---- jaxite_ec/utils.py | 804 +++++ 53 files changed, 10670 insertions(+), 8733 deletions(-) create mode 100644 jaxite_ec/Morph_logo.png create mode 100644 jaxite_ec/README.md delete mode 100644 jaxite_ec/__init__.py delete mode 100644 jaxite_ec/algorithm/big_integer.py delete mode 100644 jaxite_ec/algorithm/config_file.py delete mode 100644 jaxite_ec/algorithm/elliptic_curve.py delete mode 100644 jaxite_ec/algorithm/finite_field.py delete mode 100644 jaxite_ec/algorithm/lazy_reduction.py delete mode 100644 jaxite_ec/algorithm/rns_mod_reduce.py delete mode 100644 jaxite_ec/algorithm/util.py create mode 100644 jaxite_ec/c_kernels/BUILD create mode 100644 jaxite_ec/c_kernels/build.py create mode 100644 jaxite_ec/c_kernels/distribution.cpp create mode 100644 jaxite_ec/configurations.toml rename jaxite_ec/{test_case => data}/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv (99%) rename jaxite_ec/{test_case => data}/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv (86%) rename jaxite_ec/{test_case => data}/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv (99%) delete mode 100644 jaxite_ec/elliptic_curve.py create mode 100644 jaxite_ec/elliptic_curve_context.py create mode 100644 jaxite_ec/elliptic_curve_perf_test.py delete mode 100644 jaxite_ec/finite_field.py create mode 100644 jaxite_ec/finite_field_context.py create mode 100644 jaxite_ec/finite_field_perf_test.py delete mode 100644 jaxite_ec/msm_test.py create mode 100644 jaxite_ec/multiscalar_multiplication_context.py create mode 100644 jaxite_ec/multiscalar_multiplication_perf_test.py create mode 100644 jaxite_ec/multiscalar_multiplication_test.py create mode 100644 jaxite_ec/number_theory_transform_context.py create mode 100644 jaxite_ec/number_theory_transform_perf_test.py create mode 100644 jaxite_ec/number_theory_transform_test.py delete mode 100644 jaxite_ec/pippenger.py delete mode 100644 jaxite_ec/pippenger_rns.py create mode 100644 jaxite_ec/profiler.py delete mode 100644 jaxite_ec/test_case/t1/zprize_msm_curve_377_bases_dim_1_seed_0.csv delete mode 100644 jaxite_ec/test_case/t1/zprize_msm_curve_377_res_dim_1_seed_0.csv delete mode 100644 jaxite_ec/test_case/t1/zprize_msm_curve_377_scalars_dim_1_seed_0.csv delete mode 100644 jaxite_ec/test_case/t2/zprize_msm_curve_377_bases_dim_2_seed_0.csv delete mode 100644 jaxite_ec/test_case/t2/zprize_msm_curve_377_res_dim_2_seed_0.csv delete mode 100644 jaxite_ec/test_case/t2/zprize_msm_curve_377_scalars_dim_2_seed_0.csv delete mode 100644 jaxite_ec/test_case/t4/zprize_msm_curve_377_bases_dim_4_seed_0.csv delete mode 100644 jaxite_ec/test_case/t4/zprize_msm_curve_377_res_dim_4_seed_0.csv delete mode 100644 jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv delete mode 100644 jaxite_ec/test_case/t8/zprize_msm_curve_377_bases_dim_8_seed_0.csv delete mode 100644 jaxite_ec/test_case/t8/zprize_msm_curve_377_res_dim_8_seed_0.csv delete mode 100644 jaxite_ec/test_case/t8/zprize_msm_curve_377_scalars_dim_8_seed_0.csv delete mode 100644 jaxite_ec/util.py create mode 100644 jaxite_ec/utils.py diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml index 7dbb06f..20daa31 100644 --- a/.github/workflows/build_and_test.yml +++ b/.github/workflows/build_and_test.yml @@ -27,13 +27,14 @@ jobs: - name: "Run `bazel build`" run: | - bazel build //... + bazel --host_jvm_args=-Xmx32g build --jobs=8 //... - name: "Run `bazel test`" run: | - bazel test \ + bazel --host_jvm_args=-Xmx32g test \ --test_output=errors \ --test_size_filters=small \ --test_timeout=1800 \ --experimental_ui_max_stdouterr_bytes=10485760 \ + --jobs=8 \ //... diff --git a/.github/workflows/periodic_tests.yml b/.github/workflows/periodic_tests.yml index a9eef38..935e159 100644 --- a/.github/workflows/periodic_tests.yml +++ b/.github/workflows/periodic_tests.yml @@ -14,13 +14,14 @@ jobs: - name: "Run `bazel build`" run: | - bazel build //... + bazel --host_jvm_args=-Xmx32g build --jobs=8 //... - name: "Run `bazel test`" run: | - bazel test \ + bazel --host_jvm_args=-Xmx32g test \ --test_output=errors \ --test_size_filters=medium,large \ --test_timeout=3600 \ --experimental_ui_max_stdouterr_bytes=10485760 \ + --jobs=8 \ //... diff --git a/BUILD b/BUILD index 7ce857c..82fa23a 100644 --- a/BUILD +++ b/BUILD @@ -78,6 +78,10 @@ py_library( "jaxite_ckks/*", ], ), + data = [ + "jaxite_ec/configurations.toml", + # "@jaxite//jaxite_ec/c_kernels:distribution.so", + ], visibility = [":internal"], deps = [ ":jaxite_ckks", @@ -88,7 +92,10 @@ py_library( "@jaxite_deps//jaxlib", # copybara: jax/experimental:pallas_lib # copybara: jax/experimental:pallas_tpu + "@jaxite//jaxite_ec/c_kernels:build", "@jaxite_deps//numpy", + # copybara: pandas + # copybara: toml ], ) @@ -142,13 +149,21 @@ tpu_test( ) tpu_test( - name = "jaxite_ec_finite_field_test", - size = "large", - timeout = "moderate", + name = "ec_finite_field_test", srcs = ["jaxite_ec/finite_field_test.py"], - python_version = "PY3", - shard_count = 3, - srcs_version = "PY3ONLY", + deps = [ + ":jaxite", + "@abseil-py//absl/testing:absltest", + "@abseil-py//absl/testing:parameterized", + "@jaxite_deps//jax", + "@jaxite_deps//jaxlib", + "@jaxite_deps//numpy", + ], +) + +tpu_test( + name = "ec_finite_field_perf_test", + srcs = ["jaxite_ec/finite_field_perf_test.py"], deps = [ ":jaxite", # copybara: xprof_analysis_client # buildcleaner: keep @@ -158,57 +173,44 @@ tpu_test( "@jaxite_deps//jax", "@jaxite_deps//jaxlib", "@jaxite_deps//numpy", + # copybara: toml ], ) tpu_test( - name = "msm_test", - size = "large", - timeout = "eternal", - srcs = [ - "jaxite_ec/msm_test.py", + name = "elliptic_curve_test", + srcs = ["jaxite_ec/elliptic_curve_test.py"], + deps = [ + ":jaxite", + "@abseil-py//absl/testing:absltest", + "@abseil-py//absl/testing:parameterized", + "@jaxite_deps//jax", + "@jaxite_deps//jaxlib", + "@jaxite_deps//numpy", + # copybara: toml ], - data = [ - "jaxite_ec/test_case/t1/zprize_msm_curve_377_bases_dim_1_seed_0.csv", - "jaxite_ec/test_case/t1/zprize_msm_curve_377_res_dim_1_seed_0.csv", - "jaxite_ec/test_case/t1/zprize_msm_curve_377_scalars_dim_1_seed_0.csv", - "jaxite_ec/test_case/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv", - "jaxite_ec/test_case/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv", - "jaxite_ec/test_case/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv", - "jaxite_ec/test_case/t2/zprize_msm_curve_377_bases_dim_2_seed_0.csv", - "jaxite_ec/test_case/t2/zprize_msm_curve_377_res_dim_2_seed_0.csv", - "jaxite_ec/test_case/t2/zprize_msm_curve_377_scalars_dim_2_seed_0.csv", - "jaxite_ec/test_case/t4/zprize_msm_curve_377_bases_dim_4_seed_0.csv", - "jaxite_ec/test_case/t4/zprize_msm_curve_377_res_dim_4_seed_0.csv", - "jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv", - "jaxite_ec/test_case/t8/zprize_msm_curve_377_bases_dim_8_seed_0.csv", - "jaxite_ec/test_case/t8/zprize_msm_curve_377_res_dim_8_seed_0.csv", - "jaxite_ec/test_case/t8/zprize_msm_curve_377_scalars_dim_8_seed_0.csv", - ], - python_version = "PY3", - shard_count = 3, - srcs_version = "PY3ONLY", +) + +tpu_test( + name = "elliptic_curve_perf_test", + srcs = ["jaxite_ec/elliptic_curve_perf_test.py"], deps = [ ":jaxite", # copybara: xprof_analysis_client # buildcleaner: keep # copybara: xprof_session # buildcleaner: keep - # copybara: resources "@abseil-py//absl/testing:absltest", "@abseil-py//absl/testing:parameterized", "@jaxite_deps//jax", "@jaxite_deps//jaxlib", "@jaxite_deps//numpy", + # copybara: toml ], ) tpu_test( - name = "elliptic_curve_test", - size = "large", - timeout = "long", - srcs = ["jaxite_ec/elliptic_curve_test.py"], - python_version = "PY3", - shard_count = 16, - srcs_version = "PY3ONLY", + name = "multiscalar_multiplication_test", + srcs = ["jaxite_ec/multiscalar_multiplication_test.py"], + data = glob(["jaxite_ec/data/t1024/*.csv"]), deps = [ ":jaxite", # copybara: xprof_analysis_client # buildcleaner: keep @@ -218,6 +220,50 @@ tpu_test( "@jaxite_deps//jax", "@jaxite_deps//jaxlib", "@jaxite_deps//numpy", + # copybara: toml + ], +) + +tpu_test( + name = "multiscalar_multiplication_perf_test", + srcs = ["jaxite_ec/multiscalar_multiplication_perf_test.py"], + deps = [ + ":jaxite", + # copybara: xprof_analysis_client # buildcleaner: keep + # copybara: xprof_session # buildcleaner: keep + "@abseil-py//absl/testing:absltest", + "@abseil-py//absl/testing:parameterized", + "@jaxite_deps//jax", + "@jaxite_deps//jaxlib", + "@jaxite_deps//numpy", + ], +) + +tpu_test( + name = "number_theory_transform_test", + srcs = ["jaxite_ec/number_theory_transform_test.py"], + deps = [ + ":jaxite", + "@abseil-py//absl/testing:absltest", + "@abseil-py//absl/testing:parameterized", + "@jaxite_deps//jax", + "@jaxite_deps//jaxlib", + "@jaxite_deps//numpy", + ], +) + +tpu_test( + name = "number_theory_transform_perf_test", + size = "large", + timeout = "eternal", + srcs = ["jaxite_ec/number_theory_transform_perf_test.py"], + deps = [ + ":jaxite", + "@abseil-py//absl/testing:absltest", + "@abseil-py//absl/testing:parameterized", + "@jaxite_deps//jax", + "@jaxite_deps//jaxlib", + "@jaxite_deps//numpy", ], ) diff --git a/MODULE.bazel b/MODULE.bazel index 3919bc0..9605595 100644 --- a/MODULE.bazel +++ b/MODULE.bazel @@ -4,6 +4,7 @@ bazel_dep(name = "bazel_skylib", version = "1.9.0") bazel_dep(name = "rules_license", version = "1.0.0") bazel_dep(name = "abseil-py", version = 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      + FEATHER +

      + + +

      +TPU-accelerated, free, immediate, fast, and cheap HE serving for everyone +

      +

      +| paper | +code | +tutorial | +

      + +🔥 We have delivered a tutorial at ASPLOS'26 to help you get started with MORPH. Please visit [CPA_tutorial](https://efficientppml.github.io/CROSS_Tutorial/) to learn more. +For questions, please drop an email to our community [email](cpacommunity@googlegroups.com). + +--- + +# MORPH: Enable AI Accelerator for Zero Knowledge Proof +[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](./LICENSE) + +# 1. What is MORPH? +MORPH is the first project to enable AI Accelerator, such as Google TPUs, to accelerate Zero Knowledge Proof Primitives (Multi-scalar Multiplication and Number Theory Transformation) and achieves the State-of-the-art (SotA) throughput and energy efficiency (performance per watt). Together with [CROSS](https://github.com/EfficientPPML/CROSS), they enable AI ASICs to be SotA throughput machine for cryptography primitive with wide-range precision. + + + +It features +- MXU Lazy Modular Reduction: bringing quadratic high-precision modular reduction down to linear operation. + + + +- dataflow optimization for MSM and NTT. Details in the [paper](https://arxiv.org/abs/2604.17808). + +This branch (`asplos`) contains demo scripts for profiling and comparing the two core workloads. + +## Project Structure + +``` +├── finite_field_context.py # Finite field arithmetic (MORPH & CROSS backends) +├── elliptic_curve_context.py # Elliptic curve point arithmetic +├── multiscalar_multiplication_context.py # Multi-scalar multiplication (MSM) +├── number_theory_transform_context.py # Number Theoretic Transform (NTT) +├── utils.py # JAX kernel utilities, number theory helpers +├── profiler.py # Trace parsing and kernel profiling +├── configurations.toml # Curve parameters (BLS12-377) +├── c_kernels/ # Custom C kernels for TPU acceleration +├── deployments/ # Serialized compiled JAX kernels +``` +All functions have `_test.py` and `_perf_test.py` for correctness and performance testing. + + +## Key Concepts + +| Concept | Description | +|---------|-------------| +| **DRNS (Double RNS)** | Residue Number System representation enabling efficient large-integer modular arithmetic on TPU | +| **MORPH** | Alternative modular multiplication backend using chunk-based representation | +| **MSM** | Multi-scalar multiplication — computing $\sum_i s_i \cdot P_i$ over elliptic curve points | +| **Bucket Accumulation** | MSM decomposition strategy: scalars are sliced into windows, points accumulated into buckets per window | +| **Compiled Kernels** | Pre-compiled JAX/C kernels stored in `deployments/` for fast TPU execution | +| **Sharding** | Distribution of computation aMORPH TPU cores | + + +# 2. Environment Setup + +Inside TPU VM, please do following setup to configure the environment. + +Step 1: install miniconda +``` +wget https://repo.anaconda.com/miniconda/Miniconda3-latest-Linux-x86_64.sh +chmod +x ./Miniconda3-latest-Linux-x86_64.sh +./Miniconda3-latest-Linux-x86_64.sh +``` + +Step 2: create environment and install required packages +``` +source ~/.bashrc +conda create --name jaxite python=3.13 +conda activate jaxite +pip install -U "jax[tpu]" +pip install xprof +pip install absl-py +pip install toml +pip install gdown +pip install pandas +pip install gmpy2 +``` + +Step 3: Install the C++ toolchain for the MSM C kernel. + +The MSM path uses a CPU C kernel (`c_kernels/distribution.cpp`) that is +compiled on the first import of `multiscalar_multiplication_context`. You need +a host `g++` with OpenMP, and the conda env's bundled `libstdc++` must be +recent enough to satisfy the symbols emitted by that compiler. On modern Ubuntu +(g++ 13+) this means `GLIBCXX_3.4.32`, which the conda default +`libstdcxx-ng 11.2.0` does **not** ship — so install a newer one from +`conda-forge`: +``` +sudo apt-get install -y g++ # skip if already installed +conda install -n jaxite -c conda-forge 'libstdcxx-ng>=13' 'libgcc-ng>=13' +``` +If you see `OSError: ... libstdc++.so.6: version 'GLIBCXX_3.4.XX' not found` +when importing `multiscalar_multiplication_context`, the conda libstdc++ is +older than your system `g++` — re-run the `conda install` line above (or +`LD_PRELOAD=/usr/lib/x86_64-linux-gnu/libstdc++.so.6` for a one-shot +workaround). + +Step 4: Download the reference data +``` +mkdir -p data && gdown 1aJhANlS8hWrjSt9j0nBKoFRBoZh0W1aa -O data/data.tar.gz && cd data && tar -xvf data.tar.gz +``` + +Step 5 (optional): Pre-build the MSM C kernel. + +The C kernel is compiled automatically by `c_kernels/build.py` on the first +import of `multiscalar_multiplication_context`, so no separate build step is +required. To pre-build (or force a rebuild) ahead of time: +``` +python -m c_kernels.build # build if missing or stale +python -m c_kernels.build --force # always rebuild +``` +The compiler defaults to `g++` with `-std=c++17 -fopenmp -O2 -fPIC -shared` +plus `-I/include`. Override via the `CXX` and `CXXFLAGS` env vars +(e.g. point `CXX` at conda's `gxx_linux-64` to keep the build inside the env). + +# 3. TPU Setup +The code is optimized for TPU execution, but it also runs on NVIDIA GPU and CPU for functional preview (not optimized for these devices). + +- Step 1: Create a Google Project [tutorial](https://cloud.google.com/appengine/docs/standard/nodejs/building-app/creating-project). + +Obtain the name of the project as and **Google Project ID** from the created project. + +- Step 2: Apply for the Tree-tier TPU trail for 30 days[TRC](https://sites.research.google/trc/about/) + +Once submitted the request, an email will be shot to you within one day, where there is a link to fill in a survey with your **Google project ID**. + +- Step 3: Launch TPU VM. +You could do it over GUI or gcloud cli (in your local machine) to create a TPU VM. I give the gcloud cli as it works for all generations (>=v4) of TPUs. + +For TPUv6e, +```bash +gcloud config set project +gcloud config set compute/zone us-east1-d +gcloud alpha compute tpus queued-resources create --node-id= \ + --zone=us-east1-d \ + --accelerator-type=v6e-1 \ + --runtime-version=v2-alpha-tpuv6e \ + --provisioning-model=spot +``` + +Note that TPUv5e and TPUv6e could only work with provisioning-model as spot, because they are popular resources, and Google cloud can preempt it if there are tasks with higher priority requiring these resources. But you could get a long-term active TPUv4 VM as it's less demanding by other tasks. + +- Step 4: Setup Remote SSH (VSCode or Cursor) to TPU VM +Once the requested TPU vm is up and running as shown in Google console, you could use gcloud to forward the SSH port of the remote machine to a port of local machine and setup VSCode remote ssh. + +You need to first setup local ssh key to Google's compute engine, following [link](https://cloud.google.com/compute/docs/connect/create-ssh-keys#gcloud). After your follow the instructions on the page, the ssh key will be dumped here `/.ssh/google_compute_engine`. + + +```bash +gcloud compute tpus tpu-vm ssh @ -- -L 9009:localhost:22 +``` +Where 9009 is the port of local machine, while 22 is the SSH port of the TPU vm. + +After you set it up, you could configure VSCode to use the remote SSH package [link](https://code.visualstudio.com/docs/remote/ssh) to remotely access into TPUvm. +```bash +Host tpu-vm + User + HostName localhost + Port 9009 + IdentityFile /.ssh/google_compute_engine +``` + +After this, you should follow the steps on [link](https://code.visualstudio.com/docs/remote/ssh) to log into TPU VM. + +# 4. Ready to Play? + +Run functional correctness tests for both NTT and MSM: +``` +python3 number_theory_transform_test.py +python3 multiscalar_multiplication_test.py +``` + +Run performance tests for both NTT and MSM: + +``` +python3 number_theory_transform_perf_test.py +python3 multiscalar_multiplication_perf_test.py +``` + +Notes: +- The first MSM test run auto-compiles `c_kernels/distribution.cpp` into + `c_kernels/distribution.so` (a few seconds). Subsequent runs reuse the cached + `.so` and rebuild only when the source is newer. +- The first run of each test also JIT-compiles JAX kernels; expect a longer + first iteration that is then cached under `deployments/`. +- Performance tests assume the reference data from Step 4 is present under + `./data/`. + +# 5. Call for Actions +Our mission is to build an open-sourced SoTA library for the community. +- If you find this repository helpful, please consider giving it a star :) +- For any questions, please feel free to open an issue. +- For any suggestions or new features, please feel free to open a pull request. + +# Contact +- Jianming Tong, Georgia Institute of Technology / Google, jianming.tong@gatech.edu/jianmingt@google.com +- Jingtian Dang, Georgia Institute of Technology, dangjingtian@gatech.edu +- Tushar Krishna, Georgia Institute of Technology, tushar@ece.gatech.edu + + +# Citation + +``` +@inproceedings{tong2025MORPH, +author = {Jianming Tong and Jingtian Dang and Simon Langowski and Tianhao Huang and Asra Ali and Jeremy Kun and Srini Devadas and Tushar Krishna}, +title = {MORPH: Enabling AI ASICs for Zero Knowledge Proof}, +year = {2026}, +publisher = {IEEE Press}, +booktitle = {Proceedings of the 63nd Annual ACM/IEEE Design Automation Conference}, +location = {Los Angeles, California, United States}, +series = {DAC '26} +} +``` + +Enjoy! :D diff --git a/jaxite_ec/__init__.py b/jaxite_ec/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/jaxite_ec/algorithm/big_integer.py b/jaxite_ec/algorithm/big_integer.py deleted file mode 100644 index d79b763..0000000 --- a/jaxite_ec/algorithm/big_integer.py +++ /dev/null @@ -1,169 +0,0 @@ -"""Big integer classes for jaxite_ec.""" - -import gmpy2 - - -class GMPBigInteger: - """A class representing a big integer using gmpy2. - - This class provides basic arithmetic operations for big integers using gmpy2. - """ - - def __init__(self, value) -> None: - if isinstance(value, (int, gmpy2.mpz)): - self.value = gmpy2.mpz(value) - elif isinstance(value, GMPBigInteger): - self.value = value.value - else: - raise TypeError("Unsupported type for GMPBigInteger initialization") - - def __add__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return GMPBigInteger( - self.value - + gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def __sub__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return GMPBigInteger( - self.value - - gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def __mul__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return GMPBigInteger( - self.value - * gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def __truediv__(self, other): - if isinstance(other, (GMPBigInteger, int)): - if ( - gmpy2.mpz(other.value if isinstance(other, GMPBigInteger) else other) - == 0 - ): - raise ZeroDivisionError("division by zero") - return GMPBigInteger( - self.value - // gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def __mod__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return GMPBigInteger( - self.value - % gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def __eq__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value == gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __ne__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value != gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __lt__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value < gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __le__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value <= gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __gt__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value > gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __ge__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return self.value >= gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - return NotImplemented - - def __pow__(self, exponent, modulus=None): - if isinstance(exponent, (GMPBigInteger, int, gmpy2.mpz)): - if isinstance(exponent, GMPBigInteger): - exponent = gmpy2.mpz(exponent.value) - if isinstance(modulus, GMPBigInteger): - modulus = gmpy2.mpz(modulus.value) - if modulus is None: - return GMPBigInteger(self.value**exponent) - else: - return GMPBigInteger(gmpy2.powmod(self.value, exponent, modulus)) - else: - print(type(exponent)) - raise TypeError("Exponent must be an integer") - - def __lshift__(self, shift): - """Left shift operator (<<).""" - if isinstance(shift, GMPBigInteger): - shift = shift.value - return GMPBigInteger(self.value << shift) - - def __rshift__(self, shift): - """Right shift operator (>>).""" - if isinstance(shift, GMPBigInteger): - shift = shift.value - return GMPBigInteger(self.value >> shift) - - def __and__(self, other): - if isinstance(other, (GMPBigInteger, int)): - return GMPBigInteger( - self.value - & gmpy2.mpz( - other.value if isinstance(other, GMPBigInteger) else other - ) - ) - return NotImplemented - - def ceil_log2(self): - """Calculate the base-2 logarithm of the GMPBigInteger.""" - if self.value <= 0: - raise ValueError("log2 is only defined for positive integers") - return GMPBigInteger(gmpy2.ceil(gmpy2.log2(self.value))) - - def __int__(self): - return int(self.value) - - def __str__(self): - return str(self.value) - - def __repr__(self): - return f"GMPBigInteger({self.value})" - - def hex_value_str(self) -> str: - return hex(self.value) diff --git a/jaxite_ec/algorithm/config_file.py b/jaxite_ec/algorithm/config_file.py deleted file mode 100644 index 0233520..0000000 --- a/jaxite_ec/algorithm/config_file.py +++ /dev/null @@ -1,46 +0,0 @@ -"""Jaxite EC algorithm configuration file.""" - -config_BLS12_377 = { - # A small prime field for simplicity - 'prime': 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001, - 'order': 0x12AB655E9A2CA55660B44D1E5C37B00159AA76FED00000010A11800000000001, - 'a': 0, # Coefficient a = 0 - 'b': 1, # Coefficient b = 1 - 'generator': [ - 0x008848DEFE740A67C8FC6225BF87FF5485951E2CAA9D41BB188282C8BD37CB5CD5481512FFCD394EEAB9B16EB21BE9EF, - 0x01914A69C5102EFF1F674F5D30AFEEC4BD7FB348CA3E52D96D182AD44FB82305C2FE3D3634A9591AFD82DE55559C8EA6, - ], -} - -# https://docs.rs/ark-ed-on-bls12-377/latest/ark_ed_on_bls12_377/index.html -config_BLS12_377_t = { - 'prime': ( - 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177 - ), - 'order': ( - 8444461749428370424248824938781546531375899335154063827935233455917409239041 - ), - 'a': -1, - 'd': ( - 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 - ), - 'alpha': -1, - 'b': 1, - 's': ( - 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 - ), - 'MA': ( - 228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384 - ), - 'MB': ( - 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 - ), - 't': ( - 23560188534917577818843641916571445935985386319233886518929971599490231428764380923487987729215299304184915158756 - ), - # 't': 235104237478051516191809091778322087600408126435680774020954291067230236919576441851480900410358060820255406299421, - 'generator': [ - 71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393, - 6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235, - ], -} diff --git a/jaxite_ec/algorithm/elliptic_curve.py b/jaxite_ec/algorithm/elliptic_curve.py deleted file mode 100644 index 6b649d9..0000000 --- a/jaxite_ec/algorithm/elliptic_curve.py +++ /dev/null @@ -1,775 +0,0 @@ -"""Elliptic curve coordinate systems and points.""" - -import abc -import copy -import enum -from typing import Dict, Generic, Iterable, List, Optional, TypeVar, Union - -from jaxite.jaxite_ec.algorithm import big_integer -from jaxite.jaxite_ec.algorithm import finite_field - - -BigInt = big_integer.GMPBigInteger - -abstractmethod = abc.abstractmethod -ABC = abc.ABC -Auto = enum.auto -Enum = enum.Enum -T = TypeVar('T') -FieldEle = finite_field.FiniteFieldElement - - -class CoordinateSystemType(Enum): - """Enum to represent different types of coordinate systems for elliptic curves. - - AFFINE: The affine coordinate system, the standard coordinate system for - elliptic curves: https://www.hyperelliptic.org/EFD/g1p/auto-shortw.html - - PROJECTIVE: The projective coordinate system, - https://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective.html#addition-madd-1998-cmo - - XYZZ: The XYZZ coordinate system: - https://www.hyperelliptic.org/EFD/g1p/auto-shortw-xyzz.html - """ - - NONE = Auto() - WEIERSTRASS_AFFINE = Auto() - WEIERSTRASS_PROJECTIVE = Auto() - WEIERSTRASS_XYZZ = Auto() - - -class ECPoint(Generic[T]): - """Represents a point in an elliptic curve coordinate system.""" - - def __init__( - self, - coordinates: List[T], - coordinate_system: 'EllipticCurveCoordinateSystem', - zero: bool = False, - ) -> None: - self.coordinate_system = coordinate_system - self.zero = zero - self.coordinates = self.coordinate_system.generate_formal_coordinates( - coordinates, zero - ) - self.type = coordinate_system.get_type() - - def __getitem__(self, index: Union[int, slice]): - return self.coordinates[index] - - def __setitem__( - self, index: Union[int, slice], value: Union[T, Iterable[T]] - ) -> None: - self.coordinates[index] = value # type: ignore - - def __eq__(self, other: 'ECPoint') -> bool: - if not isinstance(other, ECPoint): - return NotImplemented - - return self.coordinates == other.coordinates - - def __add__(self, other: 'ECPoint') -> 'ECPoint': - return self.coordinate_system.point_add(self, other) - - def __lshift__(self, shift) -> 'ECPoint': - if self.zero: - return self.copy() - return self.coordinate_system.point_lshift(self, shift) - - def is_zero(self): - return self.zero - - def get_type(self) -> CoordinateSystemType: - return self.type - - def set_type(self, cs_type: CoordinateSystemType): - self.type = cs_type - - def set_coordinate_system( - self, coordinate_system: 'EllipticCurveCoordinateSystem' - ): - self.coordinate_system = coordinate_system - self.type = coordinate_system.get_type() - - def append(self, coordinate: T): - assert self.coordinates is not None - self.coordinates.append(coordinate) - - def copy(self): - obj = copy.copy(self) - if not self.is_zero(): - obj.coordinates = self.coordinate_system.generate_formal_coordinates( - self.coordinates, self.zero - ) - return obj - - def convert_to_affine(self): - return self.coordinate_system.convert_to_affine(self) - - def __str__(self) -> str: - if self.is_zero(): - return 'Point, O' - coord_strs = [coord.hex_value_str() for coord in self.coordinates] # pytype: disable=attribute-error - return 'Point, ' + ', '.join(coord_strs) - - -class EllipticCurveCoordinateSystem(ABC, Generic[T]): - """Abstract base class for elliptic curve coordinate systems.""" - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - """Initialize the coordinate system. - - Args: - config: A dictionary containing the configuration of the coordinate - system. The dictionary should contain the following keys: - ff_zero: The - value "zero" in the finite field. - ff_one: The value "one" in the - finite field. - type: The type of the coordinate system. - """ - super().__init__() - self.config = config - self.ff_zero: FieldEle = FieldEle(0, config['prime']) - self.ff_one: FieldEle = FieldEle(1, config['prime']) - self.type = CoordinateSystemType.NONE - - @abstractmethod - def generate_formal_coordinates( - self, coordinates: List[Union[int, FieldEle]], zero: bool - ) -> List[T]: - pass - - def get_type(self): - return self.type - - def generate_point( - self, - coordinates: Optional[Union[List[T], List[int]]] = None, - zero: bool = False, - ) -> ECPoint[T]: - return ECPoint[T](coordinates, self, zero) - - @abstractmethod - def point_add(self, point_a: ECPoint[T], point_b: ECPoint[T]): - pass - - @abstractmethod - def point_lshift(self, point_a: ECPoint[T], index): - pass - - @abstractmethod - def convert_to_affine(self, point_a: ECPoint[T]): - pass - - -class ECCSWeierstrass(EllipticCurveCoordinateSystem[FieldEle]): - """Base class for Weierstrass coordinate systems.""" - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - """Initialize the EC Weierstrass coordinate systems. - - Weierstrass: y^2 = x^3 + a*x + b - - Args: - config: A dictionary containing the configuration of the coordinate - system. The dictionary should contain the following keys: - generator: A - special point "G" in the Elliptic Curve. - order: order * generator == 0 - in the Elliptic Curve. - prime: The modulus of the Elliptic Curve. - a: - The parameter a of the Elliptic Curve. - b: The parameter b of the - Elliptic Curve. - """ - super().__init__(config) - self.prime = BigInt(config['prime']) - self.order = BigInt(config['order']) - - self.generator: List[FieldEle] = [] - for coordinate in config['generator']: - element = self.ff_zero.copy(coordinate) - self.generator.append(element) - self.a = self.ff_zero.copy(config['a']) - self.b = self.ff_zero.copy(config['b']) - - def generate_formal_coordinates( - self, coordinates: List[Union[int, FieldEle]], zero: bool = False - ): - if zero: - return None - formal_coordinate: List[FieldEle] = [] - for coordinate in coordinates: - if isinstance(coordinate, FieldEle): - formal_coordinate.append(coordinate) - else: - formal_coordinate.append(self.ff_zero.copy(coordinate)) - return formal_coordinate - - -class ECCSWeierstrassAffine(ECCSWeierstrass): - """Weierstrass affine coordinate system. - - It has unique point add calculation. Details pleaase refer to: - AFFINE: The affine coordinate system, the standard coordinate system for - elliptic curves: https://www.hyperelliptic.org/EFD/g1p/auto-shortw.html - """ - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - super().__init__(config) - self.type = CoordinateSystemType.WEIERSTRASS_AFFINE - - def add_general(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - slope = (point_b[1] - point_a[1]) / (point_b[0] - point_a[0]) - cx = (slope * slope) - point_a[0] - point_b[0] - cy = slope * (point_a[0] - cx) - point_a[1] - return ECPoint[FieldEle]([cx, cy], self) - - def double_general(self, point_a: ECPoint[FieldEle]): - x1 = point_a[0] - y1 = point_a[1] - slope = (x1 * x1 * 3 + self.a) / (y1 * 2) - cx = slope * slope - x1 - x1 - cy = slope * (x1 - cx) - y1 - return ECPoint[FieldEle]([cx, cy], self) - - def point_add(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - if point_b.is_zero(): - return point_a.copy() - elif point_a.is_zero(): - return point_b.copy() - - if point_a == point_b: - result = self.double_general(point_a) - else: - result = self.add_general(point_a, point_b) - - return result - - def point_lshift(self, point_a: ECPoint[FieldEle], shift: int): - if point_a.is_zero(): - return point_a.copy() - - for _ in range(shift): - point_a = self.double_general(point_a) - return point_a - - def convert_to_affine(self, point_a: ECPoint[FieldEle]) -> ECPoint[FieldEle]: - return point_a - - def generate_formal_coordinates( - self, coordinates: List[Union[int, FieldEle]], zero: bool = False - ) -> Optional[List[FieldEle]]: - if zero: - return None - coordinate_length = len(coordinates) - assert coordinate_length == 2 or coordinate_length == 3 - formal_coordinates: List[FieldEle] = [] - for coordinate in coordinates: - if isinstance(coordinate, FieldEle): - formal_coordinates.append(coordinate) - else: - formal_coordinates.append(self.ff_zero.copy(coordinate)) - if coordinate_length == 2: - assert len(formal_coordinates) == 3 - return formal_coordinates - - -class ECCSWeierstrassProjective(ECCSWeierstrass): - """Weierstrass projective coordinate system. - - PROJECTIVE: The projective coordinate system, - https://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective.html#addition-madd-1998-cmo - """ - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - super().__init__(config) - self.prime = BigInt(config['prime']) - self.order = BigInt(config['order']) - self.type = CoordinateSystemType.WEIERSTRASS_PROJECTIVE - - self.generator: List[FieldEle] = [] - for coordinate in config['generator']: - element = self.ff_zero.copy(coordinate) - self.generator.append(element) - - self.a = self.ff_zero.copy(config['a']) - self.b = self.ff_zero.copy(config['b']) - - def add_z2_eq_1(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - if point_b[2] == self.ff_one: - x1, y1, z1 = point_a - x2, y2, _ = point_b - elif point_a[2] == self.ff_one: - x1, y1, z1 = point_b - x2, y2, _ = point_a - else: - raise NotImplementedError - - u = y2 * z1 - y1 - uu = u * u - v = x2 * z1 - x1 - vv = v * v - vvv = v * vv - r = vv * x1 - a = uu * z1 - vvv - (r + r) - x3 = v * a - y3 = u * (r - a) - vvv * y1 - z3 = vvv * z1 - return ECPoint[FieldEle]([x3, y3, z3], self) - - def add_general(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - x1, y1, z1 = point_a - x2, y2, z2 = point_b - - b3 = self.b * self.ff_zero.copy(3) - a = self.a - - # Perform the operations - t0 = x1 * x2 - t1 = y1 * y2 - t2 = z1 * z2 - t3 = (x1 + y1) * (x2 + y2) - t4 = t0 + t1 - t3 = t3 - t4 - t4 = (x1 + z1) * (x2 + z2) - t5 = t0 + t2 - t4 = t4 - t5 - t5 = (y1 + z1) * (y2 + z2) - x3 = t1 + t2 - t5 = t5 - x3 - z3 = a * t4 - x3 = b3 * t2 - z3 = x3 + z3 - x3 = t1 - z3 - z3 = t1 + z3 - y3 = x3 * z3 - t1 = t0 + t0 - t1 = t1 + t0 - t2 = a * t2 - t4 = b3 * t4 - t1 = t1 + t2 - t2 = t0 - t2 - t2 = a * t2 - t4 = t4 + t2 - t0 = t1 * t4 - y3 = y3 + t0 - t0 = t5 * t4 - x3 = t3 * x3 - x3 = x3 - t0 - t0 = t3 * t1 - z3 = t5 * z3 - z3 = z3 + t0 - - return ECPoint[FieldEle]([x3, y3, z3], self) - - def double_general(self, point_a: ECPoint): - x1, y1, z1 = point_a - a = self.a - ff2 = self.ff_zero.copy(2) - - # Perform the operations based on the pseudocode - xx = x1 * x1 - zz = z1 * z1 - w = a * zz + xx * self.ff_zero.copy(3) - s = y1 * z1 * ff2 - ss = s * s - sss = s * ss - r = y1 * s - rr = r * r - b = (x1 + r) * (x1 + r) - xx - rr - h = w * w - b * ff2 - x3 = h * s - y3 = w * (b - h) - rr * ff2 - z3 = sss - - return ECPoint([x3, y3, z3], self) - - def point_add( - self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle] - ) -> ECPoint[FieldEle]: - if point_b.is_zero(): - return point_a.copy() - elif point_a.is_zero(): - return point_b.copy() - - if point_a == point_b: - result = self.double_general(point_a) - elif point_a[2] == self.ff_one or point_b[2] == self.ff_one: - result = self.add_z2_eq_1(point_a, point_b) - else: - result = self.add_general(point_a, point_b) - return result - - def point_lshift(self, point: ECPoint[FieldEle], shift: int): - if point.is_zero(): - return point.copy() - - for _ in range(shift): - point = self.double_general(point) - return point - - def convert_from_affine( - self, point_a: ECPoint[FieldEle] - ) -> ECPoint[FieldEle]: - assert point_a.get_type() == self.type - new_point = point_a.copy() - if new_point.coordinates is not None: - new_point.coordinates.clear() - z_invert = self.ff_one / point_a[2] - new_point.append(point_a[0] * z_invert) - new_point.append(point_a[1] * z_invert) - new_point.append(self.ff_one) - new_point.set_type(CoordinateSystemType.WEIERSTRASS_AFFINE) - return new_point - else: - return new_point - - def convert_to_affine(self, point: ECPoint) -> ECPoint: - assert point.get_type() == self.type - new_point = point.copy() - if new_point.coordinates is not None: - new_point.coordinates.clear() - z_invert = self.ff_one / point[2] - new_point.append(point[0] * z_invert) - new_point.append(point[1] * z_invert) - new_point.append(self.ff_one) - new_point.set_type(CoordinateSystemType.WEIERSTRASS_AFFINE) - return new_point - else: - return new_point - - -class ECCSWeierstrassXYZZ(ECCSWeierstrass): - """Weierstrass XYZZ coordinate system.""" - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - super().__init__(config) - self.type = CoordinateSystemType.WEIERSTRASS_XYZZ - - def generate_formal_coordinates( - self, coordinates: List[Union[int, FieldEle]], zero: bool = False - ) -> Optional[List[FieldEle]]: - if zero: - return None - coordinate_length = len(coordinates) - assert coordinate_length == 2 or coordinate_length == 4 - formal_coordinates: List[FieldEle] = [] - for coordinate in coordinates: - if isinstance(coordinate, FieldEle): - formal_coordinates.append(coordinate) - else: - formal_coordinates.append(self.ff_zero.copy(coordinate)) - if coordinate_length == 2: - formal_coordinates.append(self.ff_one.copy()) - formal_coordinates.append(self.ff_one.copy()) - assert len(formal_coordinates) == 4 - return formal_coordinates - - def add_z2_eq_1(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - """Add the general coordinates of two points in the XYZZ coordinate system. - - This function is not implemented for the XYZZ coordinate system. - - Args: - point_a: The first point. - point_b: The second point. - - Returns: - The added general coordinates of the two points. - """ - raise NotImplementedError - # return ECPoint[FieldEle]([], self) - - def add_general(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - x1, y1, zz1, zzz1 = point_a - x2, y2, zz2, zzz2 = point_b - - u1 = x1 * zz2 - u2 = x2 * zz1 - s1 = y1 * zzz2 - s2 = y2 * zzz1 - p = u2 - u1 - r = s2 - s1 - pp = p * p - ppp = p * pp - q = u1 * pp - x3 = r * r - ppp - (q + q) - y3 = r * (q - x3) - s1 * ppp - zz3 = zz1 * zz2 * pp - zzz3 = zzz1 * zzz2 * ppp - - return ECPoint[FieldEle]([x3, y3, zz3, zzz3], self) - - def double_general(self, point_a: ECPoint[FieldEle]): - """Double the general coordinates of a point in the XYZZ coordinate system. - - Args: - point_a: The point to double the general coordinates of. - - Returns: - The doubled general coordinates of the point. - """ - x1, y1, zz1, zzz1 = point_a - a = self.a - - # Perform the operations based on the pseudocode - u = y1 + y1 - v = u * u - w = u * v - s = x1 * v - x1_sq = x1 * x1 - m = (x1_sq + x1_sq + x1_sq) + a * (zz1 * zz1) - x3 = (m * m) - (s + s) - y3 = m * (s - x3) - w * y1 - zz3 = v * zz1 - zzz3 = w * zzz1 - - return ECPoint[FieldEle]([x3, y3, zz3, zzz3], self) - - def point_add( - self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle] - ) -> ECPoint[FieldEle]: - if point_b.is_zero(): - return point_a.copy() - elif point_a.is_zero(): - return point_b.copy() - - if point_a == point_b: - result = self.double_general(point_a) - else: - result = self.add_general(point_a, point_b) - return result - - def point_lshift(self, point_a: ECPoint[FieldEle], shift: int): - if point_a.is_zero(): - return point_a.copy() - - for _ in range(shift): - point_a = self.double_general(point_a) - return point_a - - def convert_from_affine( - self, point_a: ECPoint[FieldEle] - ) -> ECPoint[FieldEle]: - assert ( - point_a.coordinate_system.get_type() - == CoordinateSystemType.WEIERSTRASS_AFFINE - ) - new_point = point_a.copy() - new_point.append(self.ff_one) - new_point.append(self.ff_one) - new_point.set_coordinate_system(self) - return new_point - - def convert_to_affine(self, point_a: ECPoint[FieldEle]) -> ECPoint[FieldEle]: - assert point_a.get_type() == self.type - new_point = point_a.copy() - if new_point.coordinates is not None: - new_point.coordinates.clear() - a = self.ff_one / point_a[3] - b = point_a[2] * a - b_sq = b * b - new_point.append(point_a[0] * b_sq) - new_point.append(point_a[1] * a) - new_point.append(self.ff_one) - new_point.append(self.ff_one) - new_point.set_type(CoordinateSystemType.WEIERSTRASS_AFFINE) - return new_point - else: - return new_point - - -class ECCSTwistedEdwardsExtended(ECCSWeierstrass): - """Twisted Edwards Extended coordinate system.""" - - def __init__(self, config: Dict[str, Union[int, List[int]]]) -> None: - super().__init__(config) - self.type = CoordinateSystemType.WEIERSTRASS_PROJECTIVE - self.a = self.ff_zero.copy(config['a']) - self.d = self.ff_zero.copy(config['d']) - self.alpha = self.ff_zero.copy(config['alpha']) - self.s = self.ff_zero.copy(config['s']) - self.ma = self.ff_zero.copy(config['MA']) - self.mb = self.ff_zero.copy(config['MB']) - self.t = self.ff_zero.copy(config['t']) - self.k = self.d + self.d - - def generate_point( - self, - coordinates: Optional[Union[List[T], List[int]]] = None, - zero: bool = False, - twist: bool = True, - ) -> ECPoint[T]: - if twist: - ff_coordinates = [] - for coordinate in coordinates: - if isinstance(coordinate, FieldEle): - ff_coordinates.append(coordinate) - else: - ff_coordinates.append(self.ff_zero.copy(coordinate)) - coordinates = self.twist(ff_coordinates) - return ECPoint[T](coordinates, self, zero) - - def generate_formal_coordinates( - self, - coordinates: List[Union[int, FieldEle]], - zero: bool = False, - ) -> Optional[List[FieldEle]]: - if zero: - coordinates = self.zero() - coordinate_length = len(coordinates) - assert coordinate_length in {2, 4} - formal_coordinates: List[FieldEle] = [] - for coordinate in coordinates: - if isinstance(coordinate, FieldEle): - formal_coordinates.append(coordinate) - else: - formal_coordinates.append(self.ff_zero.copy(coordinate)) - - if coordinate_length == 2: - formal_coordinates.append(self.ff_one.copy()) - formal_coordinates.append(formal_coordinates[0] * formal_coordinates[1]) - - return formal_coordinates - - def point_add(self, point_a: ECPoint[FieldEle], point_b: ECPoint[FieldEle]): - # https://www.hyperelliptic.org/EFD/g1p/data/twisted/extended/addition/madd-2008-hwcd - # copied from arkworks_bls12_377 - x1, y1, z1, t1 = point_a - x2, y2, z2, t2 = point_b # 0, 1, 1, 0 - a = x1 * x2 # 0 - b = y1 * y2 # y1 - c = self.d * t1 * t2 # 0 - d = z1 * z2 # z1 - # h = b - (self.a * a) # self.a = -1 in standard form - h = b + a # y1 - # karatsuba - e = (x1 + y1) * (x2 + y2) - h # (x1 + y1) - y1 = x1 - f = d - c # z1 - g = d + c # z1 - x3 = e * f # x1 * z1 - y3 = g * h # y1 * z1 - z3 = f * g # z1 * z1 - t3 = e * h # x1 * y1 - - return ECPoint[FieldEle]([x3, y3, z3, t3], self) - - def double_general(self, point_a: ECPoint[FieldEle]): - # https://www.hyperelliptic.org/EFD/g1p/data/twisted/extended/doubling/dbl-2008-hwcd - # copied from arkworks_bls12_377 - x1, y1, z1, _ = point_a - a = x1 * x1 - b = y1 * y1 - ct = z1 * z1 - # d = self.a * a - # d = self.ff_zero - a - h = self.ff_zero - a - b - et = x1 + y1 - e = (et * et) + h - g = b - a - f = g - ct - ct - x3 = e * f - y3 = g * h - z3 = f * g - t3 = e * h - return ECPoint[FieldEle]([x3, y3, z3, t3], self) - - def point_lshift(self, point_a: ECPoint[FieldEle], shift: int): - if point_a.is_zero(): - return point_a.copy() - - for _ in range(shift): - point_a = self.double_general(point_a) - return point_a - - def twist(self, point_a: List[FieldEle]): - # https://en.wikipedia.org/wiki/Montgomery_curve - x, y = point_a - # Convert to montgomery - xm = self.s * (x - self.alpha) - ym = self.s * y - # Convert to edwards - if ym == self.ff_zero: - return None - xt = xm / ym - - yt_denom = xm + self.ff_one - if yt_denom == self.ff_zero: - return None - yt = (xm - self.ff_one) / (yt_denom) - - xt = xt * self.t - return [xt, yt] - - def untwist(self, point_a: List[FieldEle]): - xt, yt = point_a - xt = xt / self.t - # print("ut", xt, yt) - # Convert to montgomery - xm = (self.ff_one + yt) / ((self.ff_one - yt)) - ym = (self.ff_one + yt) / ((self.ff_one - yt) * xt) - # print("um", xm, ym) - # Convert to weierstrass - three = self.ff_zero.copy(3) - x = (xm / self.mb) + (self.ma / (three * self.mb)) - y = ym / self.mb - # print("uw", x, y) - return [x, y] - - def convert_from_affine(self, point_a): - # apply twist? - return NotImplementedError - - def convert_to_twisted_edwards_affine( - self, point_a: ECPoint[FieldEle] - ) -> ECPoint[FieldEle]: - new_point = point_a.copy() - if new_point.coordinates is not None: - new_point.coordinates.clear() - x, y, z = point_a[:3] - inv_z = self.ff_one / z - x2 = x * inv_z - y2 = y * inv_z - new_point.append(x2) - new_point.append(y2) - new_point.append(self.ff_one) - new_point.append(self.ff_one) - return new_point - - def convert_to_affine(self, point_a: ECPoint[FieldEle]) -> ECPoint[FieldEle]: - new_point = self.convert_to_twisted_edwards_affine(point_a) - twisted_coords = new_point[:2] - new_point[:2] = self.untwist(twisted_coords) - return new_point - - def zero(self): - return [self.ff_zero, self.ff_one, self.ff_one, self.ff_zero] - - def twist_int_coordinates(self, coordinates: List[int]) -> List[int]: - ff_coordinates = [ - self.ff_zero.copy(coordinate) for coordinate in coordinates - ] - ff_coordinates = self.twist(ff_coordinates) - if ff_coordinates is None: - return [0, 1, 1, 0] # zero - ff_coordinates.append(self.ff_one.copy()) - ff_coordinates.append(ff_coordinates[0] * ff_coordinates[1]) - return [int(coord.value) for coord in ff_coordinates] - - def twist_projective(self, point_a): - x, y, z = point_a - xm = self.s * (x - self.alpha) - ym = self.s * y - # Convert to edwards - # Common denominator - zt = z * ym * (xm + self.ff_one) - xt = xm * (xm + self.ff_one) - yt = (xm - self.ff_one) * ym - - xt = xt * self.t - return [xt, yt, zt] - - -class TwistedInvertedXYZ(ECCSWeierstrass): - - def convert_from_affine(self, point_a): - x, y = point_a - return [y, x, x * y] - - # Looks like the cheapest strongly unified three coordinate option - # https://www.hyperelliptic.org/EFD/g1p/data/twisted/inverted/addition/add-2008-bbjlp diff --git a/jaxite_ec/algorithm/finite_field.py b/jaxite_ec/algorithm/finite_field.py deleted file mode 100644 index 6a3ea36..0000000 --- a/jaxite_ec/algorithm/finite_field.py +++ /dev/null @@ -1,304 +0,0 @@ -"""Finite field elements for elliptic curve cryptography.""" - -import copy -import math - -from jaxite.jaxite_ec.algorithm import big_integer - -BigInt = big_integer.GMPBigInteger - - -class FiniteFieldElement: - """Finite field element for elliptic curve cryptography.""" - - def __init__(self, value, prime): - if isinstance(value, BigInt): - self.value = value - else: - self.value = BigInt(value) - - if isinstance(prime, BigInt): - self.prime = prime - else: - self.prime = BigInt(prime) - - if self.value < 0 or self.value >= self.prime: - raise ValueError(f"Value {self.value} not in range 0 to {self.prime - 1}") - - def set_value(self, value): - """Set the value of the finite field element, with validation.""" - if isinstance(value, BigInt): - new_value = value - else: - new_value = BigInt(value) - - if new_value < BigInt(0) or new_value >= self.prime: - raise ValueError(f"Value {new_value} not in range 0 to {self.prime - 1}") - - self.value = new_value - - def get_value(self) -> int: - return int(self.value) - - def get_prime(self): - return copy.deepcopy(self.prime) - - def copy(self, value=None, transform=False, reduction=False): - """Create a deep copy of the current finite field element. - - transform and reduction are only place holders for unified API. - - Args: - value (int): The value of the new finite field element. If None, the - value of the current finite field element is used. - transform (bool): Whether to transform the value of the new finite field - element. - reduction (bool): Whether to reduce the value of the new finite field - element. - - Returns: - FiniteFieldElement: A deep copy of the current finite field element. - """ - obj = copy.copy(self) - if not value: - obj.value = BigInt(int(self.value)) - else: - obj.value = BigInt(value) - return obj - - def __add__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot add two numbers in different Fields") - result = (self.value + other.value) % self.prime - return FiniteFieldElement(result, self.prime.value) - - def __sub__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot subtract two numbers in different Fields") - result = (self.value - other.value) % self.prime - return FiniteFieldElement(result, self.prime.value) - - def __mul__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot multiply two numbers in different Fields") - result = (self.value * other.value) % self.prime - return FiniteFieldElement(result, self.prime.value) - - def __truediv__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot divide two numbers in different Fields") - # Use Fermat's Little Theorem to find the inverse: a^(p-1) ≡ 1 (mod p) - inverse = other.value.__pow__(self.prime.value - 2, self.prime.value) - result = (self.value * inverse) % self.prime - return FiniteFieldElement(result, self.prime.value) - - def __pow__(self, exponent): - result = self.value.__pow__(exponent, self.prime.value) - return FiniteFieldElement(result.value, self.prime.value) - - def __eq__(self, other): - return self.value == other.value and self.prime == other.prime - - def __str__(self): - return f"FieldElement_{self.prime.value}({self.value.value})" - - def __repr__(self): - return ( - f"FiniteFieldElement(value={self.value.value}," - f" prime={self.prime.value})" - ) - - def __hex__(self): - return hex(int(self.value.value)) - - def hex_value_str(self) -> str: - return self.value.hex_value_str() - - -class FiniteFieldElementBarrett(FiniteFieldElement): - """Finite field element for elliptic curve cryptography using Barrett reduction.""" - - def __init__(self, value, prime, k=None): - super().__init__(value, prime) - if k == None: - if isinstance(prime, BigInt): - self.two_k = prime.ceil_log2() * 2 - else: - self.two_k = BigInt(math.ceil(math.log2(prime))) * 2 - else: - self.two_k = BigInt(2 * k) - self.mu = BigInt(2) ** self.two_k / prime - - def barrett_reduction(self, x): - # q = (x * mu) >> 2k - q = (x * self.mu) >> self.two_k - # r = x - q * prime - r = x - q * self.prime - if r >= self.prime: - r -= self.prime - return r - - def __add__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot add two numbers in different Fields") - result = self.value + other.value - if result > self.prime: - result -= self.prime - new_instance = self.copy() - new_instance.value = result - return new_instance - - def __sub__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot subtract two numbers in different Fields") - if self.value < other.value: - result = self.value + self.prime - other.value - else: - result = self.value - other.value - new_instance = self.copy() - new_instance.value = result - return new_instance - - def __mul__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot multiply two numbers in different Fields") - result = self.value * other.value - reduced_result = self.barrett_reduction(result) - new_instance = self.copy() - new_instance.value = reduced_result - return new_instance - - def __truediv__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot divide two numbers in different Fields") - inverse = other.value.__pow__(self.prime.value - 2, self.prime.value) - result = self.value * inverse - reduced_result = self.barrett_reduction(result) - new_instance = self.copy() - new_instance.value = reduced_result - return new_instance - - def copy(self, value=None, transform=False, reduction=False): - """Create a deep copy of the current finite field element.""" - obj = copy.copy(self) - if not value: - obj.value = BigInt(self.value) - else: - if reduction: - value = self.barrett_reduction(BigInt(value)) - obj.value = BigInt(value) - return obj - - -class FiniteFieldElementMontgomery(FiniteFieldElement): - """Finite field element for elliptic curve cryptography using Montgomery reduction.""" - - def __init__(self, value, prime, k=None): - super().__init__(value, prime) - if not k: - if isinstance(prime, BigInt): - self.k = prime.ceil_log2() - else: - self.k = BigInt(math.ceil(math.log2(prime))) - else: - self.k = BigInt(k) - - self.r = BigInt(2) ** self.k - # self.r_inverse = (self.r ** (self.prime - 2)) % self.prime - self.r_inverse = self.r.__pow__(self.prime - 2, self.prime) - self.n_prime = (self.r * self.r_inverse - 1) / self.prime - self.r_mask = self.r - 1 - self.value = self.montgomeryize(self.value) - self.montgomeryized = True - self.one_bar = self.montgomeryize(BigInt(1)) - - def montgomery_reduction(self, x): - m = ((x & self.r_mask) * self.n_prime) & self.r_mask - u = (x + m * self.prime) >> self.k - if u >= self.prime: - u -= self.prime - return u - - def montgomeryize(self, x): - x_bar = (x * self.r) % self.prime - return x_bar - - def de_montgomeryize(self, x_bar): - x = self.montgomery_reduction(x_bar) - return x - - def change_montgomery_form(self): - if self.montgomeryized: - self.value = self.de_montgomeryize(self.value) - self.montgomeryized = False - else: - self.value = self.montgomeryize(self.value) - self.montgomeryized = True - return self - - def __add__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot add two numbers in different Fields") - assert other.montgomeryized - result = self.value + other.value - if result > self.prime: - result -= self.prime - new_instance = self.copy() - new_instance.value = result - return new_instance - - def __sub__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot subtract two numbers in different Fields") - assert other.montgomeryized - if self.value < other.value: - result = self.value + self.prime - other.value - else: - result = self.value - other.value - new_instance = self.copy() - new_instance.value = result - return new_instance - - def __mul__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot multiply two numbers in different Fields") - assert other.montgomeryized - result = self.value * other.value - reduced_result = self.montgomery_reduction(result) - new_instance = self.copy() - new_instance.value = reduced_result - return new_instance - - def __truediv__(self, other): - if self.prime != other.prime: - raise ValueError("Cannot divide two numbers in different Fields") - - if other.montgomeryized: - other_value = self.de_montgomeryize(other.value) - else: - other_value = other.value - - inverse = other_value.__pow__(self.prime.value - 2, self.prime.value) - - inverse_bar = self.montgomeryize(inverse) - - result = self.value * inverse_bar - reduced_result = self.montgomery_reduction(result) - new_instance = self.copy() - new_instance.value = reduced_result - return new_instance - - def copy(self, value=None, transform=False, reduction=False): - """Create a deep copy of the current finite field element.""" - obj = copy.copy(self) - if not value: - obj.value = BigInt(self.value) - else: - if reduction: - obj.value = self.montgomery_reduction(BigInt(value)) - elif transform: - obj.value = self.montgomeryize(BigInt(value)) - else: - obj.value = BigInt(value) - - return obj diff --git a/jaxite_ec/algorithm/lazy_reduction.py b/jaxite_ec/algorithm/lazy_reduction.py deleted file mode 100644 index a13b093..0000000 --- a/jaxite_ec/algorithm/lazy_reduction.py +++ /dev/null @@ -1,91 +0,0 @@ -"""This file implements the lazy reduction algorithm.""" - -import random - -import numpy as np - -randint = random.randint - - -def byte_len(x: int): - return (x.bit_length() + 7) // 8 - - -def chunk_decomposition(x, length=-1): - if length == -1: - length = byte_len(x) - return [(x >> (8 * i)) & 255 for i in range(length)] - - -# Input: a_list: (t+2) byte numbers for a -# b_list: (t+2) byte numbers for b -# p: modulus -# Output: c_list: (t_2) byte numbers for (ab % p) -def lazy_reduction_via_matrix(a_list, b_list, p): - """Performs lazy reduction via matrix multiplication. - - Args: - a_list: (t+2) byte numbers for a - b_list: (t+2) byte numbers for b - p: modulus - - Returns: - c_list: (t_2) byte numbers for (ab % p) - """ - t = len(chunk_decomposition(p)) - # Precomputation - lazy_mat = np.zeros((t + 4, t), dtype=np.uint8) - for i in range(t + 4): - val = (256 ** (t + i)) % p - lazy_mat[i, :] = chunk_decomposition(val, t) - - # Begin computation - assert len(a_list) == len(b_list) - batch_size = len(a_list) - batch_mat = np.zeros((batch_size, t + 4), dtype=np.uint8) - standard_product = [a_list[i] * b_list[i] for i in range(batch_size)] - standard_product_low = [s & (256**t - 1) for s in standard_product] - standard_product_high = [s >> (8 * t) for s in standard_product] - # Matrix packing - for i in range(batch_size): - batch_mat[i] = chunk_decomposition(standard_product_high[i], t + 4) - # Matrix product - # Upcast to get proper accumulators - reduced = np.matmul(batch_mat.astype(np.uint32), lazy_mat.astype(np.uint32)) - c_list = [] - # Recombine into integers - for i in range(batch_size): - val = 0 - for j in reversed(range(t)): - val *= 256 - val += int(reduced[i][j]) - c_list.append(val) - # Add in standard_product_low; this could be done in u8 form before the - # carry-add chain above, perhaps from the raw toeplitz output. - # Since we are using a redundant form the upper part doesn't have to be - # accurate. - c_list = [c_list[i] + standard_product_low[i] for i in range(batch_size)] - return c_list - - -def main(): - """This test case check the functionality of the lazy reduction algorithm.""" - p = randint(2**381, 2**384) - batch_size = 16 - bound = p * 256 * 256 - # a and b are both < bound - a_list = [randint(0, bound) for _ in range(batch_size)] - b_list = [randint(0, bound) for _ in range(batch_size)] - c_list = lazy_reduction_via_matrix(a_list, b_list, p) - for i in range(batch_size): - # each output is congruent modulo p - assert c_list[i] % p == (a_list[i] * b_list[i]) % p - # each output is < bound - assert c_list[i] < bound - print(a_list) - print(b_list) - print(c_list) - - -if __name__ == "__main__": - main() diff --git a/jaxite_ec/algorithm/rns_mod_reduce.py b/jaxite_ec/algorithm/rns_mod_reduce.py deleted file mode 100644 index 910d312..0000000 --- a/jaxite_ec/algorithm/rns_mod_reduce.py +++ /dev/null @@ -1,419 +0,0 @@ -"""Implementation of RNS modular reduction.""" - -import math -import random - -import jax -import jax.numpy as jnp - -randint = random.randint - - -jax.config.update("jax_enable_x64", True) -chunk_dtype = jnp.uint16 -mul_res_dtype = jnp.uint32 - - -def to_tuple(a): - """Create to convert numpy array into tuple.""" - try: - return tuple(to_tuple(i) for i in a) - except TypeError: - return a - - -def find_moduli(total_modulus, precision): - """Find moduli for RNS.""" - initial_moduli = 2**precision - overall_moduli = [] - constant_offset_list = [] - overall_modulus = 1 - for i in range(2 ** (precision >> 1) - 1): - cur_moduli = initial_moduli - i - if math.gcd(cur_moduli, overall_modulus) == 1: - overall_moduli.append(cur_moduli) - constant_offset_list.append(i) - overall_modulus *= cur_moduli - if overall_modulus > total_modulus: - return overall_moduli, constant_offset_list - - # Find 2**15 - v too - initial_moduli = 2 ** (precision - 1) - if overall_modulus < total_modulus: - for i in range(2 ** (precision >> 1) - 1): - cur_moduli = initial_moduli - i - if math.gcd(cur_moduli, overall_modulus) == 1: - overall_moduli.append(cur_moduli) - constant_offset_list.append(i << 1) - overall_modulus *= cur_moduli - if overall_modulus > total_modulus: - return overall_moduli, constant_offset_list - - return overall_moduli, constant_offset_list - - -def hardware_friendly_mod_reduce(x, moduli_t): - """Convert input value x into the RNS form. - - Args: - x: Input value as a jnp.uint32 array. - moduli_t: List of hardware friendly moduli_t. - - Returns: - The RNS representation of x as a jnp.uint16 array. - """ - assert x.dtype == jnp.uint32 - x_h = (x >> 16) & 0xFFFF - x_l = x & 0xFFFF - x_reduce = x_h * moduli_t + x_l - - x_h_sec = (x_reduce >> 16) & 0xFFFF - x_l_sec = x_reduce & 0xFFFF - x_reduce_sec = x_h_sec * moduli_t + x_l_sec - - x_h_third = (x_reduce_sec >> 16) & 0xFFFF - x_l_third = x_reduce_sec & 0xFFFF - x_reduce_third = x_h_third * moduli_t + x_l_third - return x_reduce_third.astype(jnp.uint16) - - -def to_rns(x, moduli): - return [x % m for m in moduli] - - -def rns_reconstruct(x, overall_moduli, icrt_factors): - x_reconstruct = [] - for value_rns in x: - big_int = 0 - for idx, tower in enumerate(value_rns): - big_int += int(tower) * int(icrt_factors[idx]) - x_reconstruct.append(big_int % overall_moduli) - return x_reconstruct - - -def rns_icrt_factors_compute(modulus, moduli): - precomputed = [] - for m in moduli: - rest = modulus // m # 0 mod all the other moduli - inverse = pow(rest % m, -1, m) # factor to make 1 mod this moduli - icrt_val = (rest * inverse) % modulus # combine - precomputed.append(icrt_val) - return precomputed - - -def rns_coefficients_precompute( - icrt_factors, - overall_moduli, - num_bytes, - moduli_precision, - overall_modulus, - q, -): - """Precompute RNS coefficients. - - Args: - icrt_factors: Precomputed inverse CRT factors. - overall_moduli: Array of moduli. - num_bytes: Number of bytes. - moduli_precision: Precision of the moduli. - overall_modulus: Overall modulus. - q: Target modulus. - - Returns: - Precomputed RNS coefficients and correction coefficients. - """ - num_residues = len(overall_moduli) - # icrt_factors_byteshifted -- (num_residues, num_bytes) - icrt_factors_byteshifted = [ - [ - (((1 << (8 * pre_id)) * factor) % overall_modulus) - for pre_id in range(num_bytes) - ] - for factor in icrt_factors - ] - # icrt_factors_byteshifted_modq -- (num_residues, num_bytes) - icrt_factors_byteshifted_modq = [ - [(chunk % q) for chunk in factors] for factors in icrt_factors_byteshifted - ] - # icrt_factors_byteshifted_modq_rns - # (num_residues, num_bytes, num_residues) [Convert each byte range into RNS] - icrt_factors_byteshifted_modq_rns = [ - [to_rns(chunk, overall_moduli) for chunk in factors] - for factors in icrt_factors_byteshifted_modq - ] - - rns_mat = jnp.array( - icrt_factors_byteshifted_modq_rns, dtype=jnp.uint16 - ).reshape(-1, num_residues) - - # calculate quotient estimation - fix_point = 1 << moduli_precision - - shifted_quotient_estimations = [] - for factors in icrt_factors_byteshifted: - for chunk in factors: - shifted_quotient_estimations.append( - [math.ceil((chunk * fix_point) / overall_modulus)] - ) - sqe_mat = jnp.array(shifted_quotient_estimations, dtype=jnp.uint16) - - cor_mat = jnp.array( - [to_rns(-overall_modulus % q, overall_moduli)], dtype=jnp.uint16 - ) - - # Convert rns_mat and sqe_mat into various bytes. - rns_mat_u8 = jax.lax.bitcast_convert_type(rns_mat, jnp.uint8) - seq_mat_u8 = jax.lax.bitcast_convert_type(sqe_mat, jnp.uint8) - rns_stack_mat_u8 = jnp.hstack(( - rns_mat_u8[..., 0], - seq_mat_u8[..., 0], - rns_mat_u8[..., 1], - seq_mat_u8[..., 1], - )) - return to_tuple(rns_stack_mat_u8.tolist()), to_tuple(cor_mat.tolist()) - - -def rns_mod_reduce( - data_a_rns, - data_b_rns, - moduli, - moduli_t, - rns_stack_mat_u8, - cor_mat, - icrt_factors, - overall_modulus, -): - """Performs RNS modular reduction. - - Args: - data_a_rns: First input in RNS form. - data_b_rns: Second input in RNS form. - moduli: Array of moduli. - moduli_t: Array of constant offsets. - rns_stack_mat_u8: Precomputed RNS coefficients. - cor_mat: Precomputed correction coefficients. - icrt_factors: Precomputed inverse CRT factors. - overall_modulus: Overall modulus. - - Returns: - Result of the modular reduction. - """ - num_residues = moduli.shape[0] - mul_res = jnp.multiply( - data_a_rns.astype(mul_res_dtype), data_b_rns.astype(mul_res_dtype) - ) - mul_res_tower_red = hardware_friendly_mod_reduce(mul_res, moduli_t) - - # Global Modular reduction - mul_res_glb_red = jnp.matmul( - mul_res_tower_red.view(jnp.uint8), - rns_stack_mat_u8, - preferred_element_type=mul_res_dtype, - ) - - mul_res_glb_red_u32_l, mul_res_glb_red_u32_h = jnp.split( - mul_res_glb_red, [num_residues + 1], axis=1 - ) - mul_res_glb_red_u32 = mul_res_glb_red_u32_l + (mul_res_glb_red_u32_h << 8) - rns_reduce_u32, qe_u32 = jnp.split( - mul_res_glb_red_u32, [num_residues], axis=1 - ) - - # obtain the high 16 bits from the quotient estimation results qe_u32 - c_corrected = rns_reduce_u32 + jnp.matmul( - qe_u32 >> moduli_precision, cor_mat, preferred_element_type=mul_res_dtype - ) - c_corrected_reduce = hardware_friendly_mod_reduce(c_corrected, moduli_t) - - result_rns = rns_reconstruct( - c_corrected_reduce.tolist(), overall_modulus, icrt_factors - ) - - return result_rns - - -if __name__ == "__main__": - ########################### - # User Configured Input - ########################### - q = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 - moduli_precision = 16 - extra_bit_to_avoid_addition_overflow = 4 - num_bytes = moduli_precision // 8 - num_residues_for_q = ( - q.bit_length() + moduli_precision - 1 - ) // moduli_precision + 1 - overall_modulus = ( - ((q * 256 * num_bytes * num_residues_for_q) ** 2) - * extra_bit_to_avoid_addition_overflow - * 2 - ) - assert overall_modulus == q * q * 256 * 256 * 50 * 50 * 4 * 2 - num_elements = 1024 - - ########################### - # Offline Precompute - ########################### - - overall_moduli, constant_offset_list = find_moduli( - overall_modulus, moduli_precision - ) - assert overall_moduli == [ - 65536, - 65535, - 65533, - 65531, - 65527, - 65521, - 65519, - 65509, - 65503, - 65497, - 65491, - 65489, - 65479, - 65477, - 65473, - 65459, - 65449, - 65447, - 65437, - 65431, - 65423, - 65419, - 65413, - 65411, - 65407, - 65393, - 65383, - 65381, - 65371, - 65369, - 65363, - 65357, - 65353, - 65347, - 65339, - 65327, - 65323, - 65321, - 65311, - 65309, - 65293, - 65287, - 32761, - 32749, - 32743, - 32741, - 32719, - 32717, - 32713, - 32707, - ] - overall_modulus = 1 - for moduli in overall_moduli: - overall_modulus *= moduli - overall_modulus = int(overall_modulus) - assert len(overall_moduli) == ( - (overall_modulus.bit_length() + moduli_precision - 1) // moduli_precision - ) - icrt_factors = rns_icrt_factors_compute(overall_modulus, overall_moduli) - - # hardware friendly moduli is 2**precision - t - # moduli is the jax.array of "2**precision - t" - # moduli_t is the jax.array of "t" - rns_stack_mat_u8, cor_mat = rns_coefficients_precompute( - icrt_factors, - overall_moduli, - num_bytes, - moduli_precision, - overall_modulus, - q, - ) - assert cor_mat == ( - ( - 57491, - 26379, - 24673, - 4733, - 47122, - 11996, - 11119, - 12151, - 45048, - 10179, - 3397, - 45514, - 12274, - 62018, - 4316, - 141, - 20271, - 17626, - 20758, - 57875, - 41612, - 44321, - 30081, - 6090, - 16501, - 13984, - 14909, - 14581, - 47918, - 44932, - 34016, - 7605, - 33574, - 30236, - 15843, - 26521, - 52723, - 28347, - 32242, - 11676, - 31854, - 34463, - 30291, - 29806, - 1344, - 25148, - 23069, - 4869, - 6178, - 32502, - ), - ) - rns_stack_mat_u8 = jnp.array(rns_stack_mat_u8, dtype=jnp.uint8) - cor_mat = jnp.array(cor_mat, dtype=jnp.uint16) - - moduli = jnp.array(overall_moduli, dtype=mul_res_dtype) - moduli_t = jnp.array(constant_offset_list, dtype=chunk_dtype) - - ########################### - # Generate Random Data - ########################### - - random_data = [randint(0, q) for _ in range(num_elements)] - result_ref = [val * val % q for val in random_data] - data_rns = jnp.array( - [to_rns(ele, overall_moduli) for ele in random_data], jnp.uint32 - ) - - ########################### - # Compute Modular Reduction in RNS Form - ########################### - # Limb-wise modular multiplication - # (num_elements, num_residue) - result_rns = rns_mod_reduce( - data_rns, - data_rns, - moduli, - moduli_t, - rns_stack_mat_u8, - cor_mat, - icrt_factors, - overall_modulus, - ) - result_mod_q = [val % q for val in result_rns] - assert result_ref == result_mod_q diff --git a/jaxite_ec/algorithm/util.py b/jaxite_ec/algorithm/util.py deleted file mode 100644 index cfbef87..0000000 --- a/jaxite_ec/algorithm/util.py +++ /dev/null @@ -1,68 +0,0 @@ -"""Utility functions for the Bukect distribution algorithm.""" - -import numpy as np - - -def bits_to_numpy_dtype(bits): - if bits == 8: - return np.uint8 - elif bits == 16: - return np.uint16 - elif bits == 32: - return np.uint32 - elif bits == 64: - return np.uint64 - else: - raise ValueError("Unsupported bit size. Use 8, 16, 32, or 64.") - - -def int_to_array(python_int, base, array_size=None) -> np.ndarray: - """Converts a Python integer to a JAX array. - - Args: - python_int: The Python integer to convert. - base: The number of bits per element in the integer. - array_size: The desired size of the resulting JAX array. If provided, the - integer will be padded or trimmed to match this size. - - Returns: - A JAX array containing the elements of the Python integer. - """ - chunks = [] - mask = ( - 1 << base - ) - 1 # Mask to extract the lower bits (e.g., 32 bits -> 0xFFFFFFFF) - dtype = bits_to_numpy_dtype(base) - # Extract each element from the integer - while python_int > 0: - chunks.append(python_int & mask) # Extract the lower bits - python_int >>= base # Shift to remove the extracted bits - - # If array_size is provided, we pad or trim the result to match the - # desired size - if array_size is not None: - assert array_size >= len(chunks) - chunks = chunks[:array_size] + [0] * (array_size - len(chunks)) - - # Convert the list to a JAX array - return np.array(chunks, dtype=dtype) - - -def array_to_int(np_array: np.ndarray, base): - # Initialize the result as a Python integer - result = 0 - - # Iterate over the elements in the array - for i, elem in enumerate(np_array): - # Convert each element to an int and shift it by the appropriate - # number of bits - result |= int(elem) << (i * base) - - return result - - -def int_list_to_array(int_list, base, array_size=None) -> np.ndarray: - chunked_arrays = [ - int_to_array(int_value, base, array_size) for int_value in int_list - ] - return np.array(chunked_arrays) diff --git a/jaxite_ec/c_kernels/BUILD b/jaxite_ec/c_kernels/BUILD new file mode 100644 index 0000000..f762ed2 --- /dev/null +++ b/jaxite_ec/c_kernels/BUILD @@ -0,0 +1,24 @@ +load("@rules_python//python:defs.bzl", "py_library") +# load("//third_party/bazel_rules/rules_cc/cc:cc_binary.bzl", "cc_binary") + +package( + default_applicable_licenses = ["@jaxite//:license"], + default_visibility = ["//visibility:public"], +) + +# cc_binary( +# name = "distribution.so", +# srcs = ["distribution.cpp"], +# features = ["-layering_check"], +# linkshared = 1, +# deps = [ +# "//third_party/tensorflow/compiler/xla/ffi/api:c_api", +# "//third_party/tensorflow/compiler/xla/ffi/api:ffi", +# ], +# ) + +py_library( + name = "build", + srcs = ["build.py"], + visibility = ["//visibility:public"], +) diff --git a/jaxite_ec/c_kernels/build.py b/jaxite_ec/c_kernels/build.py new file mode 100644 index 0000000..9b44d73 --- /dev/null +++ b/jaxite_ec/c_kernels/build.py @@ -0,0 +1,103 @@ +"""Python-side build driver for the distribution C kernel. + +:func:`ensure_distribution_kernel` compiles ``distribution.cpp`` (or returns +the cached build) and yields the absolute path of the resulting shared +library, so callers can ``ctypes.cdll.LoadLibrary`` it without a separate +build step. + +Default flags: ``-std=c++17 -fopenmp -O2 -fPIC -shared -I/include``. +``CXX`` and ``CXXFLAGS`` env vars override the compiler and flags. + +Run as a script (``python -m c_kernels.build``) to pre-build without importing +the rest of the package. +""" + +from __future__ import annotations + +import os +import pathlib +import shlex +import subprocess +import sys +import threading + +_KERNEL_DIR = pathlib.Path(__file__).parent +_SRC_PATH = _KERNEL_DIR / "distribution.cpp" +_LIB_PATH = _KERNEL_DIR / "distribution.so" + +_DEFAULT_CXXFLAGS = ("-std=c++17", "-fopenmp", "-O2", "-fPIC", "-shared") + +_BUILD_LOCK = threading.Lock() + + +def _jaxlib_include_dir() -> pathlib.Path: + import jaxlib # pytype: disable=import-error + + return pathlib.Path(jaxlib.__file__).resolve().parent / "include" + + +def _needs_rebuild() -> bool: + if not _LIB_PATH.exists(): + return True + if not _SRC_PATH.exists(): + return False + return _SRC_PATH.stat().st_mtime > _LIB_PATH.stat().st_mtime + + +def _build() -> None: + cxx = os.environ.get("CXX", "g++") + flags_env = os.environ.get("CXXFLAGS") + cxxflags = shlex.split(flags_env) if flags_env else list(_DEFAULT_CXXFLAGS) + cmd = [ + cxx, + *cxxflags, + f"-I{_jaxlib_include_dir()}", + str(_SRC_PATH), + "-o", + str(_LIB_PATH), + ] + print( + f"[c_kernels.build] compiling: {' '.join(shlex.quote(c) for c in cmd)}", + file=sys.stderr, + ) + subprocess.run(cmd, check=True, cwd=_KERNEL_DIR) + + +def ensure_distribution_kernel(force: bool = False) -> str: + """Compile :file:`distribution.cpp` on demand and return the .so path. + + Args: + force: rebuild even if the cached library is up to date. + + Returns: + Absolute path to ``distribution.so``. + + Raises: + FileNotFoundError: if pre-built kernel not found in test environment. + """ + if "TEST_SRCDIR" in os.environ: + runfiles_dir = pathlib.Path(os.environ["TEST_SRCDIR"]) + lib_path = ( + runfiles_dir + / "google3/third_party/py/jaxite/jaxite_ec/c_kernels/distribution.so" + ) + if lib_path.exists(): + return str(lib_path) + raise FileNotFoundError( + f"Pre-built kernel not found in runfiles at {lib_path}" + ) + + if "UNITTEST_ON_FORGE" in os.environ: + if _LIB_PATH.exists(): + return str(_LIB_PATH) + raise FileNotFoundError(f"Pre-built kernel not found at {_LIB_PATH}") + + with _BUILD_LOCK: + if force or _needs_rebuild(): + _build() + return str(_LIB_PATH) + + +if __name__ == "__main__": + path = ensure_distribution_kernel(force="--force" in sys.argv[1:]) + print(path) diff --git a/jaxite_ec/c_kernels/distribution.cpp b/jaxite_ec/c_kernels/distribution.cpp new file mode 100644 index 0000000..e5644ba --- /dev/null +++ b/jaxite_ec/c_kernels/distribution.cpp @@ -0,0 +1,1151 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#ifdef _OPENMP +#include +#endif +#include + +#include "third_party/tensorflow/compiler/xla/ffi/api/c_api.h" +#include "third_party/tensorflow/compiler/xla/ffi/api/ffi.h" + +namespace ffi = xla::ffi; +#define COORDINATE_NUM 4 +#define CHUNK_NUM 32 +#define RESERVE_RATIO 2.0 +#define SCALAR_BITS 253 +#define ORDER_HIGH 0x12AB655E +#define ORDER_LOW_BITS 224 +// #define PROFILE + +typedef struct { + uint32_t chunks[CHUNK_NUM * COORDINATE_NUM]; +} point_t; + +typedef struct { + // Parameters for the distributor + uint32_t window_num; + uint32_t regular_bucket_num; + uint32_t special_bucket_num; + uint32_t msm_length; + uint32_t fixed_regular_padding_size; + uint32_t fixed_special_padding_size; + + // Inputs buffers + uint32_t* zero; + int32_t* slices_list; + uint32_t* points_list; + uint32_t* neg_points_list; + + // Output buffers + uint32_t* regular_buckets; + uint32_t* special_buckets; +} distributor_params_t; + +class Distributor { + public: + Distributor(uint32_t window_num, uint32_t regular_bucket_num, + uint32_t special_bucket_num, uint32_t msm_length) + : window_num_(window_num), + regular_bucket_num_(regular_bucket_num), + special_bucket_num_(special_bucket_num), + msm_length_(msm_length) { + this->reserve_ratio_ = RESERVE_RATIO; + this->windows_.resize(window_num); + this->fixed_regular_padding_size_ = 0; + this->fixed_special_padding_size_ = 0; + this->truncated = 0; + } + + void set_slices_list(int32_t* slices_list) { + this->slices_list_pointers_.resize(this->window_num_); + for (uint32_t i = 0; i < this->window_num_; ++i) { + slices_list_pointers_[i] = slices_list + i * this->msm_length_; + } + } + + void set_output_buffers(uint32_t* regular_buckets, + uint32_t* special_buckets) { + this->regular_buckets_ = regular_buckets; + this->special_buckets_ = special_buckets; + this->bucket_pointers_.resize(window_num_); + this->bucket_sizes_.resize(window_num_); + uint32_t regular_bucket_capacity_in_bytes = + fixed_regular_padding_size_ * sizeof(point_t); + uint32_t special_bucket_capacity_in_bytes = + fixed_special_padding_size_ * sizeof(point_t); + uint32_t regular_window_capacity_in_bytes = + regular_bucket_num_ * regular_bucket_capacity_in_bytes; + // uint32_t special_window_capacity_in_bytes = special_bucket_num_ * + // special_bucket_capacity_in_bytes; + + // Initialize the bucket pointers and sizes + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + this->bucket_pointers_[i].resize(regular_bucket_num_); + this->bucket_sizes_[i].resize(regular_bucket_num_); + for (uint32_t j = 0; j < this->bucket_pointers_[i].size(); ++j) { + this->bucket_sizes_[i][j] = 0; + this->bucket_pointers_[i][j] = reinterpret_cast( + reinterpret_cast(regular_buckets_) + + i * regular_window_capacity_in_bytes + + j * regular_bucket_capacity_in_bytes); + } + } + // For the last window, which has special buckets + this->bucket_pointers_[window_num_ - 1].resize(special_bucket_num_); + this->bucket_sizes_[window_num_ - 1].resize(special_bucket_num_); + for (uint32_t j = 0; j < this->bucket_pointers_[window_num_ - 1].size(); + ++j) { + this->bucket_sizes_[window_num_ - 1][j] = 0; + this->bucket_pointers_[window_num_ - 1][j] = reinterpret_cast( + reinterpret_cast(special_buckets_) + + j * special_bucket_capacity_in_bytes); + } + } + + void set_points_list(uint32_t* points_list) { + this->points_list_ = reinterpret_cast(points_list); + } + + void set_neg_points_list(uint32_t* neg_points_list) { + this->neg_points_list_ = reinterpret_cast(neg_points_list); + } + + void set_zeros(uint32_t* zero) { + this->zero_ = reinterpret_cast(zero); + } + + void set_fixed_padding_size(uint32_t regular_size, uint32_t special_size) { + this->fixed_regular_padding_size_ = regular_size; + this->fixed_special_padding_size_ = special_size; + } + + void set_tile_length(uint32_t tile_length) { + this->tile_length_ = tile_length; + assert(msm_length_ % tile_length == 0); + this->tile_num_ = msm_length_ / tile_length; + } + + void distribute_a_window(int32_t* slices, point_t* points, + uint32_t bucket_num, + std::vector>& buckets, + uint32_t& max_size) { + // Implement the distribution logic for a single window here + buckets.resize(bucket_num); + uint32_t reserve_num = + static_cast(msm_length_ * reserve_ratio_ / bucket_num); + for (uint32_t i = 0; i < bucket_num; ++i) { + buckets[i].reserve(reserve_num); + } + + for (uint32_t i = 0; i < msm_length_; ++i) { + if (slices[i] == 0) { + continue; + } + uint32_t bucket_index = slices[i] - 1; + buckets[bucket_index].push_back(points[i]); + } + // max_size = 0; + for (uint32_t i = 0; i < bucket_num; ++i) { + if (buckets[i].size() > max_size) { + max_size = buckets[i].size(); + } + } + } + + void distribute_a_window_to_buffer(int32_t* slices, point_t* points, + uint32_t tile_length, + uint32_t max_bucket_size, + std::vector& buckets, + std::vector& bucket_sizes, + uint32_t& overflow) { + for (uint32_t i = 0; i < tile_length; ++i) { + uint32_t prefetch_distance = 32; // Adjust prefetch distance as needed + if (i + prefetch_distance < tile_length) { + __builtin_prefetch(&slices[i + prefetch_distance], 0, 1); + __builtin_prefetch(&points[i + prefetch_distance], 0, 1); + } + if (slices[i] == 0) { + continue; + } + int32_t bucket_index = slices[i] - 1; + if (bucket_index >= buckets.size()) { + std::cerr << "Error: bucket index out of range." << std::endl; + continue; + } + if (bucket_sizes[bucket_index] < max_bucket_size) { + buckets[bucket_index][bucket_sizes[bucket_index]] = points[i]; + bucket_sizes[bucket_index]++; + } else { + overflow++; + } + } + } + + void distribute_a_window_to_buffer_with_sign( + int32_t* slices, point_t* points, point_t* neg_points, + uint32_t tile_length, uint32_t max_bucket_size, + std::vector& buckets, std::vector& bucket_sizes, + uint32_t& overflow) { + for (uint32_t i = 0; i < tile_length; ++i) { + if (slices[i] == 0) { + continue; + } + point_t* points_to_use = (slices[i] > 0) ? &points[i] : &neg_points[i]; + int32_t bucket_index = abs(slices[i]) - 1; + if (bucket_index >= buckets.size()) { + std::cerr << "Error: bucket index out of range." << std::endl; + continue; + } + if (bucket_sizes[bucket_index] < max_bucket_size) { + buckets[bucket_index][bucket_sizes[bucket_index]] = *points_to_use; + bucket_sizes[bucket_index]++; + } else { + overflow++; + } + } + } + + void pad_a_window(point_t* zero, uint32_t target_size, + std::vector>& buckets) { + for (uint32_t i = 0; i < buckets.size(); ++i) { + uint32_t current_size = buckets[i].size(); + // assert(current_size <= target_size); + if (current_size <= target_size) { + uint32_t pad_num = target_size - current_size; + buckets[i].insert(buckets[i].end(), pad_num, *zero); + } else { + // If the current size exceeds the target size, truncate it + buckets[i].resize(target_size); + } + } + } + + void pad_a_window_to_buffer(point_t* zero, uint32_t target_size, + std::vector& buckets, + std::vector& bucket_sizes) { + for (uint32_t i = 0; i < buckets.size(); ++i) { + uint32_t current_size = bucket_sizes[i]; + // assert(current_size <= target_size); + if (current_size < target_size) { + uint32_t pad_num = target_size - current_size; + for (uint32_t j = 0; j < pad_num; ++j) { + buckets[i][current_size + j] = *zero; + } + bucket_sizes[i] += pad_num; + } + } + } + + void distribute() { + uint32_t max_regular_bucket_size = 0; + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i]; + distribute_a_window(slices, points_list_, regular_bucket_num_, + windows_[i], max_regular_bucket_size); + } + uint32_t max_special_bucket_size = 0; + auto end2 = std::chrono::high_resolution_clock::now(); + distribute_a_window(slices_list_pointers_[window_num_ - 1], points_list_, + special_bucket_num_, windows_[window_num_ - 1], + max_special_bucket_size); + end = std::chrono::high_resolution_clock::now(); + + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; + + this->real_regular_padding_size_ = max_regular_bucket_size; + this->real_special_padding_size_ = max_special_bucket_size; + + if (this->fixed_regular_padding_size_ > 0) { + if (this->fixed_regular_padding_size_ < max_regular_bucket_size) { + this->truncated = 1; + } + // assert(this->fixed_regular_padding_size_ >= max_regular_bucket_size); + max_regular_bucket_size = this->fixed_regular_padding_size_; + } + if (this->fixed_special_padding_size_ > 0) { + if (this->fixed_special_padding_size_ < max_special_bucket_size) { + this->truncated = 1; + } + // assert(this->fixed_special_padding_size_ >= max_special_bucket_size); + max_special_bucket_size = this->fixed_special_padding_size_; + } + + start = std::chrono::high_resolution_clock::now(); + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) ? max_special_bucket_size + : max_regular_bucket_size; + pad_a_window(zero_, target_size, windows_[i]); + } + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; + } + + void distribute_parallel_v1() { + uint32_t max_regular_bucket_size = 0; + std::vector max_regular_bucket_sizes(window_num_ - 1, 0); + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i]; + distribute_a_window(slices, points_list_, regular_bucket_num_, + windows_[i], max_regular_bucket_sizes[i]); + } + auto end2 = std::chrono::high_resolution_clock::now(); + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + if (max_regular_bucket_sizes[i] > max_regular_bucket_size) { + max_regular_bucket_size = max_regular_bucket_sizes[i]; + } + } + uint32_t max_special_bucket_size = 0; + + distribute_a_window(slices_list_pointers_[window_num_ - 1], points_list_, + special_bucket_num_, windows_[window_num_ - 1], + max_special_bucket_size); + this->real_regular_padding_size_ = max_regular_bucket_size; + this->real_special_padding_size_ = max_special_bucket_size; + end = std::chrono::high_resolution_clock::now(); + + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; + + if (this->fixed_regular_padding_size_ > 0) { + if (this->fixed_regular_padding_size_ < max_regular_bucket_size) { + this->truncated = 1; + } + // assert(this->fixed_regular_padding_size_ >= max_regular_bucket_size); + max_regular_bucket_size = this->fixed_regular_padding_size_; + } + if (this->fixed_special_padding_size_ > 0) { + if (this->fixed_special_padding_size_ < max_special_bucket_size) { + this->truncated = 1; + } + // assert(this->fixed_special_padding_size_ >= + // max_special_bucket_size); + max_special_bucket_size = this->fixed_special_padding_size_; + } + + start = std::chrono::high_resolution_clock::now(); +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) ? max_special_bucket_size + : max_regular_bucket_size; + pad_a_window(zero_, target_size, windows_[i]); + } + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; + } + + void distribute_a_window_to_buffer_zero_indexed( + int32_t* slices, point_t* points, uint32_t tile_length, + uint32_t max_bucket_size, std::vector& buckets, + std::vector& bucket_sizes, uint32_t& overflow) { + for (uint32_t i = 0; i < tile_length; ++i) { + uint32_t prefetch_distance = 32; + if (i + prefetch_distance < tile_length) { + __builtin_prefetch(&slices[i + prefetch_distance], 0, 1); + __builtin_prefetch(&points[i + prefetch_distance], 0, 1); + } + if (slices[i] <= 0) { + continue; + } + int32_t bucket_index = slices[i]; + if (bucket_index >= static_cast(buckets.size())) { + std::cerr << "Error: bucket index out of range." << std::endl; + continue; + } + if (bucket_sizes[bucket_index] < max_bucket_size) { + buckets[bucket_index][bucket_sizes[bucket_index]] = points[i]; + bucket_sizes[bucket_index]++; + } else { + overflow++; + } + } + } + + void distribute_to_buffer_zero_indexed_parallel() { + std::vector bucket_overflow(window_num_, 0); +#ifdef PROFILE + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i]; + point_t* points = points_list_; + std::vector& buckets = bucket_pointers_[i]; + std::vector& bucket_sizes = bucket_sizes_[i]; + uint32_t max_bucket_size = this->fixed_regular_padding_size_; + distribute_a_window_to_buffer_zero_indexed( + slices, points, msm_length_, max_bucket_size, buckets, bucket_sizes, + bucket_overflow[i]); + } +#ifdef PROFILE + auto end2 = std::chrono::high_resolution_clock::now(); +#endif + + distribute_a_window_to_buffer_zero_indexed( + slices_list_pointers_[window_num_ - 1], points_list_, msm_length_, + this->fixed_special_padding_size_, bucket_pointers_[window_num_ - 1], + bucket_sizes_[window_num_ - 1], bucket_overflow[window_num_ - 1]); + +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; +#endif + + for (uint32_t i = 0; i < window_num_; ++i) { + if (bucket_overflow[i] > 0) { + this->truncated = 1; + break; + } + } + +#ifdef PROFILE + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) + ? this->fixed_special_padding_size_ + : this->fixed_regular_padding_size_; + pad_a_window_to_buffer(zero_, target_size, bucket_pointers_[i], + bucket_sizes_[i]); + } +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; +#endif + } + + void distribute_to_buffer_parallel() { + std::vector bucket_overflow(window_num_, 0); +#ifdef PROFILE + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i]; + point_t* points = points_list_; + std::vector& buckets = bucket_pointers_[i]; + std::vector& bucket_sizes = bucket_sizes_[i]; + uint32_t max_bucket_size = this->fixed_regular_padding_size_; + distribute_a_window_to_buffer(slices, points, msm_length_, + max_bucket_size, buckets, bucket_sizes, + bucket_overflow[i]); + } +#ifdef PROFILE + auto end2 = std::chrono::high_resolution_clock::now(); +#endif + + distribute_a_window_to_buffer( + slices_list_pointers_[window_num_ - 1], points_list_, msm_length_, + this->fixed_special_padding_size_, bucket_pointers_[window_num_ - 1], + bucket_sizes_[window_num_ - 1], bucket_overflow[window_num_ - 1]); + +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; +#endif + + for (uint32_t i = 0; i < window_num_; ++i) { + if (bucket_overflow[i] > 0) { + this->truncated = 1; + break; + } + } + +#ifdef PROFILE + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) + ? this->fixed_special_padding_size_ + : this->fixed_regular_padding_size_; + pad_a_window_to_buffer(zero_, target_size, bucket_pointers_[i], + bucket_sizes_[i]); + } +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; +#endif + } + + void distribute_to_buffer_signed_parallel() { + std::vector bucket_overflow(window_num_, 0); +#ifdef PROFILE + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i]; + point_t* points = points_list_; + point_t* neg_points = neg_points_list_; + std::vector& buckets = bucket_pointers_[i]; + std::vector& bucket_sizes = bucket_sizes_[i]; + uint32_t max_bucket_size = this->fixed_regular_padding_size_; + distribute_a_window_to_buffer_with_sign( + slices, points, neg_points, msm_length_, max_bucket_size, buckets, + bucket_sizes, bucket_overflow[i]); + } +#ifdef PROFILE + auto end2 = std::chrono::high_resolution_clock::now(); +#endif + + distribute_a_window_to_buffer_with_sign( + slices_list_pointers_[window_num_ - 1], points_list_, neg_points_list_, + msm_length_, this->fixed_special_padding_size_, + bucket_pointers_[window_num_ - 1], bucket_sizes_[window_num_ - 1], + bucket_overflow[window_num_ - 1]); + +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; +#endif + + for (uint32_t i = 0; i < window_num_; ++i) { + if (bucket_overflow[i] > 0) { + this->truncated = 1; + break; + } + } + +#ifdef PROFILE + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) + ? this->fixed_special_padding_size_ + : this->fixed_regular_padding_size_; + pad_a_window_to_buffer(zero_, target_size, bucket_pointers_[i], + bucket_sizes_[i]); + } +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; +#endif + } + + void distribute_to_buffer_parallel_v2() { + std::vector bucket_overflow(window_num_, 0); +#ifdef PROFILE + auto start = std::chrono::high_resolution_clock::now(); + auto end = std::chrono::high_resolution_clock::now(); + auto duration_us = + std::chrono::duration_cast(end - start) + .count(); + start = std::chrono::high_resolution_clock::now(); +#endif + for (uint32_t t = 0; t < tile_num_; ++t) { +// Distribute each tile to the corresponding window +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + int32_t* slices = slices_list_pointers_[i] + t * tile_length_; + point_t* points = points_list_ + t * tile_length_; + std::vector& buckets = bucket_pointers_[i]; + std::vector& bucket_sizes = bucket_sizes_[i]; + uint32_t max_bucket_size = this->fixed_regular_padding_size_; + distribute_a_window_to_buffer(slices, points, tile_length_, + max_bucket_size, buckets, bucket_sizes, + bucket_overflow[i]); + } + } +#ifdef PROFILE + auto end2 = std::chrono::high_resolution_clock::now(); +#endif + + distribute_a_window_to_buffer( + slices_list_pointers_[window_num_ - 1], points_list_, msm_length_, + this->real_special_padding_size_, bucket_pointers_[window_num_ - 1], + bucket_sizes_[window_num_ - 1], bucket_overflow[window_num_ - 1]); + +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + auto duration2_us = + std::chrono::duration_cast(end2 - start) + .count(); + std::cout << "dist_r time: " << duration2_us << " us" << std::endl; + std::cout << "dist time: " << duration_us << " us" << std::endl; +#endif + + for (uint32_t i = 0; i < window_num_; ++i) { + if (bucket_overflow[i] > 0) { + this->truncated = 1; + break; + } + } + +#ifdef PROFILE + start = std::chrono::high_resolution_clock::now(); +#endif +#pragma omp parallel for + for (uint32_t i = 0; i < window_num_; ++i) { + uint32_t target_size = (i == window_num_ - 1) + ? this->fixed_special_padding_size_ + : this->fixed_regular_padding_size_; + pad_a_window_to_buffer(zero_, target_size, bucket_pointers_[i], + bucket_sizes_[i]); + } +#ifdef PROFILE + end = std::chrono::high_resolution_clock::now(); + duration_us = + std::chrono::duration_cast(end - start) + .count(); + std::cout << "pad time: " << duration_us << " us" << std::endl; +#endif + } + + void get_merged_regular_buckets(uint32_t* regular_buckets) { + uint32_t offset = 0; + for (uint32_t i = 0; i < window_num_ - 1; ++i) { + uint32_t bucket_size = windows_[i].size(); + for (uint32_t j = 0; j < bucket_size; ++j) { + std::memcpy(regular_buckets + offset, windows_[i][j].data(), + windows_[i][j].size() * sizeof(point_t)); + offset += windows_[i][j].size() * CHUNK_NUM * COORDINATE_NUM; + } + } + } + + void get_merged_special_buckets(uint32_t* special_buckets) { + uint32_t offset = 0; + uint32_t window_idx = window_num_ - 1; + uint32_t bucket_size = windows_[window_num_ - 1].size(); + for (uint32_t j = 0; j < bucket_size; ++j) { + std::memcpy(special_buckets + offset, windows_[window_idx][j].data(), + windows_[window_idx][j].size() * sizeof(point_t)); + offset += windows_[window_idx][j].size() * CHUNK_NUM * COORDINATE_NUM; + } + } + + void get_merged_metadata(uint32_t* metadata) { + metadata[0] = real_regular_padding_size_; + metadata[1] = real_special_padding_size_; + } + + private: + uint32_t window_num_; + uint32_t regular_bucket_num_; + uint32_t special_bucket_num_; + uint32_t msm_length_; + + uint32_t tile_length_; + uint32_t tile_num_; + float reserve_ratio_; + + std::vector slices_list_pointers_; + point_t* points_list_; + point_t* neg_points_list_; + point_t* zero_; + std::vector>> windows_; + + uint32_t fixed_regular_padding_size_; + uint32_t real_regular_padding_size_; + uint32_t fixed_special_padding_size_; + uint32_t real_special_padding_size_; + + uint32_t* regular_buckets_; + uint32_t* special_buckets_; + // windows + std::vector> bucket_pointers_; + std::vector> bucket_sizes_; + + /*When truncated is true, the reuslt will be incorrect. + It is only for perfmance profiling goal.*/ + uint32_t truncated; + + /* For profiling*/ +}; + +distributor_params_t init_distributor_param(uint32_t slice_length, + uint32_t msm_length, + double buf_extend_ratio, + bool signed_bucket) { + // General parameter initialization + uint32_t window_num = (SCALAR_BITS + slice_length - 1) / slice_length; + uint32_t regular_bucket_num = (1 << slice_length) - 1; // 2^slice_length - 1 + uint32_t shift_bits = ((window_num - 1) * slice_length) - ORDER_LOW_BITS; + assert(shift_bits >= 0); + uint32_t special_bucket_num = ORDER_HIGH >> shift_bits; + if (signed_bucket) { + regular_bucket_num = 1 << (slice_length - 1); // 2^(slice_length - 1) + special_bucket_num++; + assert(special_bucket_num <= regular_bucket_num); + } + + // Special bucket optoimization parameter initialization + uint32_t log_special_duplication_ratio = static_cast(std::ceil( + std::log2(static_cast(regular_bucket_num) / special_bucket_num))); + uint32_t special_duplication_ratio = 1U << log_special_duplication_ratio; + uint32_t bucket_num_duplication = + special_bucket_num * special_duplication_ratio; + + // Output buffer parameter initialization + double expected_regular_bucket_size = + static_cast(msm_length) / (regular_bucket_num + 1); + double expected_special_bucket_size = + static_cast(msm_length) / bucket_num_duplication; + uint32_t regular_bucket_size = + static_cast(expected_regular_bucket_size * buf_extend_ratio); + uint32_t special_bucket_size = + static_cast(expected_special_bucket_size * buf_extend_ratio); + uint32_t regular_buffer_size_in_U32 = (window_num - 1) * regular_bucket_num * + regular_bucket_size * COORDINATE_NUM * + CHUNK_NUM; + uint32_t special_buffer_size_in_U32 = + special_bucket_num * special_duplication_ratio * special_bucket_size * + COORDINATE_NUM * CHUNK_NUM; + + distributor_params_t params; + params.window_num = window_num; + params.regular_bucket_num = regular_bucket_num; + params.special_bucket_num = special_bucket_num; + params.msm_length = msm_length; + params.fixed_regular_padding_size = regular_bucket_size; + params.fixed_special_padding_size = + special_bucket_size * special_duplication_ratio; + params.zero = + new uint32_t[COORDINATE_NUM * CHUNK_NUM](); // Initialize to zero + params.slices_list = new int32_t[window_num * msm_length]; + params.points_list = new uint32_t[msm_length * COORDINATE_NUM * CHUNK_NUM]; + params.neg_points_list = + new uint32_t[msm_length * COORDINATE_NUM * CHUNK_NUM]; + params.regular_buckets = new uint32_t[regular_buffer_size_in_U32]; + params.special_buckets = new uint32_t[special_buffer_size_in_U32]; + std::random_device rd; + std::mt19937 gen(rd()); + std::uniform_int_distribution regular_dist(0, regular_bucket_num); + std::uniform_int_distribution special_dist(0, special_bucket_num); + // Initialize slices_list with random values + for (uint32_t w = 0; w < window_num - 1; ++w) { + for (uint32_t i = 0; i < msm_length; ++i) { + params.slices_list[w * msm_length + i] = regular_dist(gen); + } + } + for (uint32_t i = 0; i < msm_length; ++i) { + params.slices_list[(window_num - 1) * msm_length + i] = special_dist(gen); + } + + return params; +} + +void free_distributor_param(distributor_params_t& params) { + delete[] params.zero; + delete[] params.slices_list; + delete[] params.points_list; + delete[] params.neg_points_list; + delete[] params.regular_buckets; + delete[] params.special_buckets; +} + +int main_old() { + // Example usage of the Distributor class + uint32_t slice_length = 10; // Example slice length + uint32_t msm_length = 1 << 16; // Example MSM length + double buf_extend_ratio = 1.1; // Example buffer extend ratio + bool signed_bucket = false; // Example signed bucket flag + uint32_t repeat = 50; + double duration_us = 0; + // printing the parameters + std::cout << "Slice Length: " << slice_length << std::endl; + std::cout << "MSM Length: " << msm_length << std::endl; + std::cout << "Buffer Extend Ratio: " << buf_extend_ratio << std::endl; + std::cout << "Signed Bucket: " << (signed_bucket ? "true" : "false") + << std::endl; + + for (uint32_t i = 0; i < repeat; ++i) { + std::cout << "Run " << i + 1 << " of " << repeat << std::endl; + distributor_params_t params = init_distributor_param( + slice_length, msm_length, buf_extend_ratio, signed_bucket); + + auto start_time = std::chrono::high_resolution_clock::now(); + + Distributor* distributor = + new Distributor(params.window_num, params.regular_bucket_num, + params.special_bucket_num, params.msm_length); + + distributor->set_fixed_padding_size(params.fixed_regular_padding_size, + params.fixed_special_padding_size); + distributor->set_slices_list(params.slices_list); + distributor->set_points_list(params.points_list); + distributor->set_neg_points_list(params.neg_points_list); + distributor->set_zeros(params.zero); + distributor->set_output_buffers(params.regular_buckets, + params.special_buckets); + + distributor->distribute_to_buffer_parallel(); + auto end_time = std::chrono::high_resolution_clock::now(); + auto duration = std::chrono::duration_cast( + end_time - start_time) + .count(); + std::cout << "Distribution time: " << duration << " us" << std::endl; + duration_us += duration; + + // Free allocated memory + free_distributor_param(params); + delete distributor; + } + std::cout << "Average distribution time: " << (duration_us / repeat) << " us" + << std::endl; + + return 0; +} + +// Dummy performance test function (replace with your real test) +double run_performance_test(uint32_t slice_length, uint32_t msm_length, + double buf_extend_ratio, bool signed_bucket) { + distributor_params_t params = init_distributor_param( + slice_length, msm_length, buf_extend_ratio, signed_bucket); + + auto start_time = std::chrono::high_resolution_clock::now(); + + Distributor distributor = + Distributor(params.window_num, params.regular_bucket_num, + params.special_bucket_num, params.msm_length); + + distributor.set_fixed_padding_size(params.fixed_regular_padding_size, + params.fixed_special_padding_size); + distributor.set_slices_list(params.slices_list); + distributor.set_points_list(params.points_list); + distributor.set_neg_points_list(params.neg_points_list); + distributor.set_zeros(params.zero); + distributor.set_output_buffers(params.regular_buckets, + params.special_buckets); + + distributor.distribute_to_buffer_parallel(); + auto end_time = std::chrono::high_resolution_clock::now(); + auto duration = std::chrono::duration_cast( + end_time - start_time) + .count(); + // std::cout << "Distribution time: " << duration << " us" << std::endl; + // Free allocated memory + free_distributor_param(params); + return static_cast(duration); +} + +// Compute statistics +void compute_stats(const std::vector& data, double& min, double& max, + double& avg, double& stddev) { + if (data.empty()) { + min = max = avg = stddev = 0.0; + return; + } + min = *std::min_element(data.begin(), data.end()); + max = *std::max_element(data.begin(), data.end()); + avg = std::accumulate(data.begin(), data.end(), 0.0) / data.size(); + double sum_sq = 0.0; + for (double v : data) sum_sq += (v - avg) * (v - avg); + stddev = std::sqrt(sum_sq / data.size()); +} + +int main() { + std::ofstream csv("C_kernel_perf_in_C.csv"); + int trial_num = 50; + + csv << "slice_length,log2_msm_length,msm_length,buf_extend_ratio,signed_" + "bucket,min,max,avg(us),stddev\n"; + + std::vector slice_lengths = {6, 8, 10, 12, 14}; + std::vector log2_msm_lengths = {10, 12, 14, + 16, 18, 20}; // log2(msm_length) + std::vector buf_extend_ratios = {1.1}; + std::vector signed_buckets = {false, true}; + + for (uint32_t slice_length : slice_lengths) { + for (uint32_t log2_msm_length : log2_msm_lengths) { + uint32_t msm_length = 1U << log2_msm_length; + for (double buf_extend_ratio : buf_extend_ratios) { + for (bool signed_bucket : signed_buckets) { + if (slice_length >= log2_msm_length) { + // std::cerr << "Error: slice_length must be less than + // log2_msm_length." << std::endl; + continue; + } + std::cout << "Testing slice_length: " << slice_length + << ", log2_msm_length: " << log2_msm_length + << ", buf_extend_ratio: " << buf_extend_ratio + << ", signed_bucket: " << (signed_bucket ? "true" : "false") + << std::endl; + // Run the test multiple times for statistics + std::vector results; + for (int trial = 0; trial < trial_num; ++trial) { + double perf = run_performance_test(slice_length, msm_length, + buf_extend_ratio, signed_bucket); + results.push_back(perf); + } + double min, max, avg, stddev; + compute_stats(results, min, max, avg, stddev); + + csv << slice_length << "," << log2_msm_length << "," << msm_length + << "," << buf_extend_ratio << "," << signed_bucket << "," << min + << "," << max << "," << avg << "," << stddev << "\n"; + } + } + } + } + + csv.close(); + std::cout << "Performance results written to performance_results.csv\n"; + return 0; +} + +namespace ffi = xla::ffi; +ffi::Error DistributeImpl(uint32_t window_num, uint32_t regular_bucket_num, + uint32_t special_bucket_num, uint32_t msm_length, + uint32_t fixed_regular_padding_size, + uint32_t fixed_special_padding_size, + ffi::Buffer slices_list, + ffi::Buffer points_list, + ffi::Buffer zero, + ffi::ResultBuffer regular_buckets, + ffi::ResultBuffer special_buckets, + ffi::ResultBuffer metadata) { + // Create a Distributor object + Distributor distributor(window_num, regular_bucket_num, special_bucket_num, + msm_length); + distributor.set_fixed_padding_size(fixed_regular_padding_size, + fixed_special_padding_size); + distributor.set_slices_list(slices_list.typed_data()); + distributor.set_points_list(points_list.typed_data()); + distributor.set_zeros(zero.typed_data()); + + distributor.distribute(); + + distributor.get_merged_regular_buckets(regular_buckets->typed_data()); + distributor.get_merged_special_buckets(special_buckets->typed_data()); + distributor.get_merged_metadata(metadata->typed_data()); + // Return success + return xla::ffi::Error::Success(); +} + +ffi::Error DistributeBufImpl(uint32_t window_num, uint32_t regular_bucket_num, + uint32_t special_bucket_num, uint32_t msm_length, + uint32_t fixed_regular_padding_size, + uint32_t fixed_special_padding_size, + ffi::Buffer slices_list, + ffi::Buffer points_list, + ffi::Buffer zero, + ffi::ResultBuffer regular_buckets, + ffi::ResultBuffer special_buckets, + ffi::ResultBuffer metadata) { + // Create a Distributor object + Distributor distributor(window_num, regular_bucket_num, special_bucket_num, + msm_length); + distributor.set_fixed_padding_size(fixed_regular_padding_size, + fixed_special_padding_size); + distributor.set_slices_list(slices_list.typed_data()); + distributor.set_points_list(points_list.typed_data()); + distributor.set_zeros(zero.typed_data()); + distributor.set_output_buffers(regular_buckets->typed_data(), + special_buckets->typed_data()); + + distributor.distribute_to_buffer_parallel(); + + // Return success + return ffi::Error::Success(); +} + +ffi::Error DistributeBufSignedImpl( + uint32_t window_num, uint32_t regular_bucket_num, + uint32_t special_bucket_num, uint32_t msm_length, + uint32_t fixed_regular_padding_size, uint32_t fixed_special_padding_size, + ffi::Buffer slices_list, ffi::Buffer points_list, + ffi::Buffer neg_points_list, ffi::Buffer zero, + ffi::ResultBuffer regular_buckets, + ffi::ResultBuffer special_buckets, + ffi::ResultBuffer metadata) { + // Create a Distributor object + Distributor distributor(window_num, regular_bucket_num, special_bucket_num, + msm_length); + distributor.set_fixed_padding_size(fixed_regular_padding_size, + fixed_special_padding_size); + distributor.set_slices_list(slices_list.typed_data()); + distributor.set_points_list(points_list.typed_data()); + distributor.set_neg_points_list(neg_points_list.typed_data()); + distributor.set_zeros(zero.typed_data()); + distributor.set_output_buffers(regular_buckets->typed_data(), + special_buckets->typed_data()); + + distributor.distribute_to_buffer_signed_parallel(); + + // Return success + return ffi::Error::Success(); +} + +XLA_FFI_DEFINE_HANDLER_SYMBOL( + Distribute, DistributeImpl, + ffi::Ffi::Bind() + .Attr("window_num") + .Attr("regular_bucket_num") + .Attr("special_bucket_num") + .Attr("msm_length") + .Attr("fixed_regular_padding_size") + .Attr("fixed_special_padding_size") + .Arg>() // slices_list + .Arg>() // points_list + .Arg>() // zero + .Ret>() // regular_buckets + .Ret>() // special_buckets + .Ret>() // metadata +); + +XLA_FFI_DEFINE_HANDLER_SYMBOL( + DistributeBuf, DistributeBufImpl, + ffi::Ffi::Bind() + .Attr("window_num") + .Attr("regular_bucket_num") + .Attr("special_bucket_num") + .Attr("msm_length") + .Attr("fixed_regular_padding_size") + .Attr("fixed_special_padding_size") + .Arg>() // slices_list + .Arg>() // points_list + .Arg>() // zero + .Ret>() // regular_buckets + .Ret>() // special_buckets + .Ret>() // metadata +); + +ffi::Error DistributeBufZeroImpl( + uint32_t window_num, uint32_t regular_bucket_num, + uint32_t special_bucket_num, uint32_t msm_length, + uint32_t fixed_regular_padding_size, uint32_t fixed_special_padding_size, + ffi::Buffer slices_list, ffi::Buffer points_list, + ffi::Buffer zero, ffi::ResultBuffer regular_buckets, + ffi::ResultBuffer special_buckets, + ffi::ResultBuffer metadata) { + Distributor distributor(window_num, regular_bucket_num, special_bucket_num, + msm_length); + distributor.set_fixed_padding_size(fixed_regular_padding_size, + fixed_special_padding_size); + distributor.set_slices_list(slices_list.typed_data()); + distributor.set_points_list(points_list.typed_data()); + distributor.set_zeros(zero.typed_data()); + distributor.set_output_buffers(regular_buckets->typed_data(), + special_buckets->typed_data()); + + distributor.distribute_to_buffer_zero_indexed_parallel(); + + return ffi::Error::Success(); +} + +XLA_FFI_DEFINE_HANDLER_SYMBOL( + DistributeBufZero, DistributeBufZeroImpl, + ffi::Ffi::Bind() + .Attr("window_num") + .Attr("regular_bucket_num") + .Attr("special_bucket_num") + .Attr("msm_length") + .Attr("fixed_regular_padding_size") + .Attr("fixed_special_padding_size") + .Arg>() // slices_list + .Arg>() // points_list + .Arg>() // zero + .Ret>() // regular_buckets + .Ret>() // special_buckets + .Ret>() // metadata +); + +XLA_FFI_DEFINE_HANDLER_SYMBOL( + DistributeBufSigned, DistributeBufSignedImpl, + ffi::Ffi::Bind() + .Attr("window_num") + .Attr("regular_bucket_num") + .Attr("special_bucket_num") + .Attr("msm_length") + .Attr("fixed_regular_padding_size") + .Attr("fixed_special_padding_size") + .Arg>() // slices_list + .Arg>() // points_list + .Arg>() // neg_points_list + .Arg>() // zero + .Ret>() // regular_buckets + .Ret>() // special_buckets + .Ret>() // metadata +); diff --git a/jaxite_ec/configurations.toml b/jaxite_ec/configurations.toml new file mode 100644 index 0000000..bec8438 --- /dev/null +++ b/jaxite_ec/configurations.toml @@ -0,0 +1,30 @@ +######################################################## +# General +######################################################## +serialized_jax_kernel_dir = "./deployments/" +hash_length = 4 # length of hash strings used in file names (alphanumeric, base-62) + + + +######################################################## +# Elliptic Curve Parameters +######################################################## +[ec_parameters_bls12_377_affine] +prime = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 +order = 0x12AB655E9A2CA55660B44D1E5C37B00159AA76FED00000010A11800000000001 +a = 0 +b = 1 +generator = [0x008848DEFE740A67C8FC6225BF87FF5485951E2CAA9D41BB188282C8BD37CB5CD5481512FFCD394EEAB9B16EB21BE9EF, 0x01914A69C5102EFF1F674F5D30AFEEC4BD7FB348CA3E52D96D182AD44FB82305C2FE3D3634A9591AFD82DE55559C8EA6] + +[ec_parameters_bls12_377_extended_twisted_edwards] +prime = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177 +order = 8444461749428370424248824938781546531375899335154063827935233455917409239041 +a = -1 +d = 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 +alpha = -1 +b = 1 +s = 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 +MA = 228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384 +MB = 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 +t = 23560188534917577818843641916571445935985386319233886518929971599490231428764380923487987729215299304184915158756 +generator = [71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393, 6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235] \ No newline at end of file diff --git a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv b/jaxite_ec/data/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv similarity index 99% rename from jaxite_ec/test_case/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv rename to jaxite_ec/data/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv index 1affbca..4d5efb5 100644 --- a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv +++ b/jaxite_ec/data/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv @@ -1021,4 +1021,4 @@ 1020, x, 012c98c9f7a2a5d1, ea874762b1e8c4a1, 35fbe0fb5894980c, 44f8e64cd96d180c, 85ba13911acb084f, b3b26ad0609738fe, zz: Fp384 "(0188570868A82EB0E0DDD97F55DAD85FF37B7637DAD6A12A80F9C86AB30F2CE853CCB5833FC3394CB83B187B9913FE7E)", y, 015b19304056067c, 908e5c19fe908420, e0f26a2c8fd72c93, 0840903a30687f8a, bccf44f4ea625176, 501ba7f12adc27a8, zz: Fp384 "(017ED2A2320E71894D670B2226830E2411AC8A717D1768A4CBC6B353571220C96496127BC7362B6B9D91373E8CD2681B)" 1021, x, 00f2048bceae505c, fe87dff235238fb0, 4ded13aa23396358, 84d5a9690203a9b5, d0ac634f189abad8, 4cdbb5659e84a52c, zz: Fp384 "(010AC4C7D2713EEC119C408FFAE8D3384DF4E7C4BCB12E001FDC8A7ADE7FC248FCCB7D919281EA13BBB7872B4D95044C)", y, 0098bdfaec3f29a0, 2e58bfc101ea8d74, a557b0596c9a161c, 735751360474b38c, 921c1d87ec7be426, 3d63974b26fa7705, zz: Fp384 "(0145B8E22FD6E243A109F4D2EED6B6E4AC4E59EB640A2494209777B50D5321A186F0A301EB762D5DB91401FF0C3D46DB)" 1022, x, 00356c16958fb477, 8ae26c11a4828367, 34db5eb3749d3968, 17041b9560c36b01, d5b3a6e348b8f643, c55b73c307c9329b, zz: Fp384 "(010E4E39A08185356BFCB7A9A2A35B9920389D094C35A80CD139B6E9ACDE311D73FBF42845B9322A6C6D9B52B711522D)", y, 0088810ee70cf6b5, 9d2312a04fa2cc6c, 71a6895532c12549, 4dbb59f3b1f28742, 5de8969809d4048b, 4245fa5364a4b35d, zz: Fp384 "(00C00B0BDF9032FBE826E6F890EAA7FDA47C5165934F6CED340B9C3012636D780E3C7DE8DA62FBC4863EC79E1936F8F5)" -1023, x, 0133064a88647c9a, eef3ffdd08549f02, fcd5b94f6e966386, 96f66ce8af9b507d, 2525c4c66cdde115, 1e52e82abddda9e9, zz: Fp384 "(0103B2D12B9ECAF92133B192BF3DD477160BF1F637EFDC393C31BDB9579F196B1FAD1E4C5AF9FF565AAAACD3A5867659)", y, 0098742883b34a4a, 6290ee8ddccf15b5, 2790a01ac2896430, 5aafe8673f723240, b2149c9d67dced62, 7160bb12c0fc2da8, zz: Fp384 "(015155F210905A6D7700FCC1098F6A9DD895BCADE864008EDA180DB8C32934CAEF5BBD97CC1A49C52E5F593FF31E50A8)" \ No newline at end of file +1023, x, 0133064a88647c9a, eef3ffdd08549f02, fcd5b94f6e966386, 96f66ce8af9b507d, 2525c4c66cdde115, 1e52e82abddda9e9, zz: Fp384 "(0103B2D12B9ECAF92133B192BF3DD477160BF1F637EFDC393C31BDB9579F196B1FAD1E4C5AF9FF565AAAACD3A5867659)", y, 0098742883b34a4a, 6290ee8ddccf15b5, 2790a01ac2896430, 5aafe8673f723240, b2149c9d67dced62, 7160bb12c0fc2da8, zz: Fp384 "(015155F210905A6D7700FCC1098F6A9DD895BCADE864008EDA180DB8C32934CAEF5BBD97CC1A49C52E5F593FF31E50A8)" diff --git a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv b/jaxite_ec/data/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv similarity index 86% rename from jaxite_ec/test_case/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv rename to jaxite_ec/data/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv index d77e7dd..363b1a8 100644 --- a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv +++ b/jaxite_ec/data/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv @@ -1 +1 @@ -x, 01543e9a8f6cd81c, 2c5c084d7e5a0ff0, 408dc7edb8382513, 8ddfcfd7249d9b0c, d8e6f994e24cbb4d, 77682f864dc1ce64, zz: Fp384 "(00B5A8DC793FF0EBBD3A0E7170D83EA721FA80ABA6E306D0AF2703EF9762DFB47A80BE839B97E72DAE7C2D0B6757106C)", y, 01729e1ff869e64f, 9ad1b3c12f3f5481, e8f1f4e5a91bed5d, a874614f38e0ded6, 31531869aa1785fb, 4d8e2298435ee696, zz: Fp384 "(00F9A8D085C36B7CD26A6AD1C3DFF2DDA1FE33D4828A527AE6475E1863AE685762B6B9CD59B8FB67C58703D16B340F09)" \ No newline at end of file +x, 01543e9a8f6cd81c, 2c5c084d7e5a0ff0, 408dc7edb8382513, 8ddfcfd7249d9b0c, d8e6f994e24cbb4d, 77682f864dc1ce64, zz: Fp384 "(00B5A8DC793FF0EBBD3A0E7170D83EA721FA80ABA6E306D0AF2703EF9762DFB47A80BE839B97E72DAE7C2D0B6757106C)", y, 01729e1ff869e64f, 9ad1b3c12f3f5481, e8f1f4e5a91bed5d, a874614f38e0ded6, 31531869aa1785fb, 4d8e2298435ee696, zz: Fp384 "(00F9A8D085C36B7CD26A6AD1C3DFF2DDA1FE33D4828A527AE6475E1863AE685762B6B9CD59B8FB67C58703D16B340F09)" diff --git a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv b/jaxite_ec/data/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv similarity index 99% rename from jaxite_ec/test_case/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv rename to jaxite_ec/data/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv index bec8106..fa3fff7 100644 --- a/jaxite_ec/test_case/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv +++ b/jaxite_ec/data/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv @@ -1021,4 +1021,4 @@ 1020, 0ecccbe98754c222, 03a75f6652abc4b2, 943173a9fdfec684, eda2e4c7a7bf0baf, zz: Fp256 "(105BE4B38C035D1848D9A285173F8716BAB21F59E0371871E048033B5980544F)" 1021, 0c08c6b9a73f213b, 895b7d0f13cd478b, 1ee44d69464688cc, 509d47f371f7185d, zz: Fp256 "(02CA79487BE3365732763ACF0E818B6552FC45A786480EC7BBA27DC26EE93858)" 1022, 0855c8b333f7c1c0, 1b6f4de421fb8a6d, 64d1e921237109a7, ef194ae414988390, zz: Fp256 "(09B817A72336D6D78EBD429DAA73F178A0C10AAE103DEC47401A8ED4F089C9FE)" -1023, 0d30713603e6c901, 56e77dbc8c902e50, 88c1dbdc29e27097, c1516a88192dcbae, zz: Fp256 "(103A3BF5E3AAC3D6C62F18DEC884B7A7CBAF9C7BCEB861C64C5441B2D210BE76)" \ No newline at end of file +1023, 0d30713603e6c901, 56e77dbc8c902e50, 88c1dbdc29e27097, c1516a88192dcbae, zz: Fp256 "(103A3BF5E3AAC3D6C62F18DEC884B7A7CBAF9C7BCEB861C64C5441B2D210BE76)" diff --git a/jaxite_ec/elliptic_curve.py b/jaxite_ec/elliptic_curve.py deleted file mode 100644 index bf846d2..0000000 --- a/jaxite_ec/elliptic_curve.py +++ /dev/null @@ -1,896 +0,0 @@ -"""The jaxite_ec implementation of the Elliptic curve operations on TPU. - -Detailed algorithms come from the following papers: -xyzz: https://www.hyperelliptic.org/EFD/g1p/auto-shortw-xyzz.html -affine: https://www.hyperelliptic.org/EFD/g1p/auto-shortw.html -projective: -https://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective.html#addition-madd-1998-cmo - -A non-TPU version of the same functions can be found in -jaxite_ec/algorithm/elliptic_curve.py - -To test the functionalities of this library, please refer to -jaxite_ec/elliptic_curve_test.py -""" - -import functools - -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import finite_field -from jaxite.jaxite_ec import util - - -add_3u16 = finite_field.add_3u16 -add_2u16 = finite_field.add_2u16 -sub_2u16 = finite_field.sub_2u16 -cond_sub_2u16 = finite_field.cond_sub_2u16 -cond_sub_mod_u16 = finite_field.cond_sub_mod_u16 -mod_mul_barrett_2u16 = finite_field.mod_mul_barrett_2u16 -mod_mul_lazy_2u16 = finite_field.mod_mul_lazy_2u16 -mod_mul_rns_2u16 = finite_field.mod_mul_rns_2u16 -add_rns_2u16 = finite_field.add_rns_2u16 -add_rns_3u16 = finite_field.add_rns_3u16 -add_sub_rns_var = finite_field.add_sub_rns_var -negate_rns_for_var_add = finite_field.negate_rns_for_var_add -negate_rns_for_var_add_zero_check = ( - finite_field.negate_rns_for_var_add_zero_check -) -rns_constant = finite_field.rns_constant - - -# Barrett Reduction Based Functions -@jax.named_call -def padd_barret_xyzz( - x1: jax.Array, - y1: jax.Array, - zz1: jax.Array, - zzz1: jax.Array, - x2: jax.Array, - y2: jax.Array, - zz2: jax.Array, - zzz2: jax.Array, -): - """PADD-BARRETT elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::add_general - - This function implements the PADD-BARRETT elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - zz1: The third generator element. - zzz1: The third generator element. - x2: The first generator element. - y2: The second generator element. - zz2: The third generator element. - zzz2: The third generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - u1 = mod_mul_barrett_2u16(x1, zz2) - u2 = mod_mul_barrett_2u16(x2, zz1) - s1 = mod_mul_barrett_2u16(y1, zzz2) - s2 = mod_mul_barrett_2u16(y2, zzz1) - zz1_zz2 = mod_mul_barrett_2u16(zz1, zz2) - zzz1_zzz2 = mod_mul_barrett_2u16(zzz1, zzz2) - - p = cond_sub_2u16(u2, u1) - r = cond_sub_2u16(s2, s1) - - pp = mod_mul_barrett_2u16(p, p) - rr = mod_mul_barrett_2u16(r, r) - - ppp = mod_mul_barrett_2u16(pp, p) - q = mod_mul_barrett_2u16(u1, pp) - zz3 = mod_mul_barrett_2u16(zz1_zz2, pp) - - ppp_q_2 = add_3u16(ppp, q, q) - ppp_q_2 = cond_sub_mod_u16(ppp_q_2) - ppp_q_2 = cond_sub_mod_u16(ppp_q_2) - - x3 = cond_sub_2u16(rr, ppp_q_2) - - q_x3 = cond_sub_2u16(q, x3) - s1_ppp = mod_mul_barrett_2u16(s1, ppp) - zzz3 = mod_mul_barrett_2u16(zzz1_zzz2, ppp) - - y3 = mod_mul_barrett_2u16(r, q_x3) - y3 = cond_sub_2u16(y3, s1_ppp) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -def pdul_barret_xyzz( - x1: jax.Array, y1: jax.Array, zz1: jax.Array, zzz1: jax.Array -): - """PDUL-BARRET elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::double_general - - This function implements the PDUL-BARRET elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - zz1: The third generator element. - zzz1: The third generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - u = add_2u16(y1, y1) - u = cond_sub_mod_u16(u) - - x1x1 = mod_mul_barrett_2u16(x1, x1) - v = mod_mul_barrett_2u16(u, u) - - w = mod_mul_barrett_2u16(u, v) - s = mod_mul_barrett_2u16(x1, v) - - s_2 = add_2u16(s, s) - s_2 = cond_sub_mod_u16(s_2) - - m = add_3u16(x1x1, x1x1, x1x1) - m = cond_sub_mod_u16(m) - m = cond_sub_mod_u16(m) - - mm = mod_mul_barrett_2u16(m, m) - w_y1 = mod_mul_barrett_2u16(w, y1) - zz3 = mod_mul_barrett_2u16(v, zz1) - zzz3 = mod_mul_barrett_2u16(w, zzz1) - - x3 = cond_sub_2u16(mm, s_2) - - s_x3 = cond_sub_2u16(s, x3) - - y3 = mod_mul_barrett_2u16(m, s_x3) - y3 = cond_sub_2u16(y3, w_y1) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -def pdul_barrett_xyzz_pack(x1_y1_zz1_zzz1: jax.Array): - return pdul_barret_xyzz( - x1_y1_zz1_zzz1[0], x1_y1_zz1_zzz1[1], x1_y1_zz1_zzz1[2], x1_y1_zz1_zzz1[3] - ) - - -@jax.named_call -def padd_barrett_xyzz_pack( - x1_y1_zz1_zzz1: jax.Array, x2_y2_zz2_zzz2: jax.Array -): - return padd_barret_xyzz( - x1_y1_zz1_zzz1[0], - x1_y1_zz1_zzz1[1], - x1_y1_zz1_zzz1[2], - x1_y1_zz1_zzz1[3], - x2_y2_zz2_zzz2[0], - x2_y2_zz2_zzz2[1], - x2_y2_zz2_zzz2[2], - x2_y2_zz2_zzz2[3], - ) - - -@jax.named_call -def pdul_barrett_xyzz_pack_batch_first( - x1_y1_zz1_zzz1: jax.Array, transpose=(0, 1, 2) -): - return pdul_barret_xyzz( - x1_y1_zz1_zzz1[:, 0], - x1_y1_zz1_zzz1[:, 1], - x1_y1_zz1_zzz1[:, 2], - x1_y1_zz1_zzz1[:, 3], - ).transpose(transpose[0], transpose[1], transpose[2]) - - -@jax.named_call -def padd_barrett_xyzz_pack_batch_first( - x1_y1_zz1_zzz1: jax.Array, x2_y2_zz2_zzz2: jax.Array, transpose=(0, 1, 2) -): - return padd_barret_xyzz( - x1_y1_zz1_zzz1[:, 0], - x1_y1_zz1_zzz1[:, 1], - x1_y1_zz1_zzz1[:, 2], - x1_y1_zz1_zzz1[:, 3], - x2_y2_zz2_zzz2[:, 0], - x2_y2_zz2_zzz2[:, 1], - x2_y2_zz2_zzz2[:, 2], - x2_y2_zz2_zzz2[:, 3], - ).transpose(transpose[0], transpose[1], transpose[2]) - - -# Lazy Reduction Based Functions -@jax.named_call -def padd_lazy_xyzz( - x1: jax.Array, - y1: jax.Array, - zz1: jax.Array, - zzz1: jax.Array, - x2: jax.Array, - y2: jax.Array, - zz2: jax.Array, - zzz2: jax.Array, -): - """PADD-LAZY elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::add_general - - This function implements the PADD-LAZY elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - zz1: The third generator element. - zzz1: The third generator element. - x2: The first generator element. - y2: The second generator element. - zz2: The third generator element. - zzz2: The third generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - cond_sub_2u16_ext = functools.partial( - cond_sub_2u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - cond_sub_mod_u16_ext = functools.partial( - cond_sub_mod_u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - - u1 = mod_mul_lazy_2u16(x1, zz2) - u2 = mod_mul_lazy_2u16(x2, zz1) - s1 = mod_mul_lazy_2u16(y1, zzz2) - s2 = mod_mul_lazy_2u16(y2, zzz1) - zz1_zz2 = mod_mul_lazy_2u16(zz1, zz2) - zzz1_zzz2 = mod_mul_lazy_2u16(zzz1, zzz2) - - p = cond_sub_2u16_ext(u2, u1) - r = cond_sub_2u16_ext(s2, s1) - - pp = mod_mul_lazy_2u16(p, p) - rr = mod_mul_lazy_2u16(r, r) - - ppp = mod_mul_lazy_2u16(pp, p) - q = mod_mul_lazy_2u16(u1, pp) - zz3 = mod_mul_lazy_2u16(zz1_zz2, pp) - - # Can be replaced by mod_add_lazy. - ppp_q_2 = add_3u16(ppp, q, q) - ppp_q_2 = cond_sub_mod_u16_ext(ppp_q_2) - ppp_q_2 = cond_sub_mod_u16_ext(ppp_q_2) - - x3 = cond_sub_2u16_ext(rr, ppp_q_2) - - q_x3 = cond_sub_2u16_ext(q, x3) - s1_ppp = mod_mul_lazy_2u16(s1, ppp) - zzz3 = mod_mul_lazy_2u16(zzz1_zzz2, ppp) - - y3 = mod_mul_lazy_2u16(r, q_x3) - y3 = cond_sub_2u16_ext(y3, s1_ppp) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -def pdul_lazy_xyzz( - x1: jax.Array, - y1: jax.Array, - zz1: jax.Array, - zzz1: jax.Array, -): - """PDUL-BARRET elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::double_general - - This function implements the PDUL-BARRET elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - zz1: The third generator element. - zzz1: The third generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - cond_sub_2u16_ext = functools.partial( - cond_sub_2u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - cond_sub_mod_u16_ext = functools.partial( - cond_sub_mod_u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - u = add_2u16(y1, y1) - u = cond_sub_mod_u16_ext(u) - - x1x1 = mod_mul_lazy_2u16(x1, x1) - v = mod_mul_lazy_2u16(u, u) - - w = mod_mul_lazy_2u16(u, v) - s = mod_mul_lazy_2u16(x1, v) - - s_2 = add_2u16(s, s) - s_2 = cond_sub_mod_u16_ext(s_2) - - m = add_3u16(x1x1, x1x1, x1x1) - m = cond_sub_mod_u16_ext(m) - m = cond_sub_mod_u16_ext(m) - - mm = mod_mul_lazy_2u16(m, m) - w_y1 = mod_mul_lazy_2u16(w, y1) - zz3 = mod_mul_lazy_2u16(v, zz1) - zzz3 = mod_mul_lazy_2u16(w, zzz1) - - x3 = cond_sub_2u16_ext(mm, s_2) - - s_x3 = cond_sub_2u16_ext(s, x3) - - y3 = mod_mul_lazy_2u16(m, s_x3) - y3 = cond_sub_2u16_ext(y3, w_y1) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -def padd_lazy_xyzz_pack(x1_y1_zz1_zzz1: jax.Array, x2_y2_zz2_zzz2: jax.Array): - return padd_lazy_xyzz( - x1_y1_zz1_zzz1[0], - x1_y1_zz1_zzz1[1], - x1_y1_zz1_zzz1[2], - x1_y1_zz1_zzz1[3], - x2_y2_zz2_zzz2[0], - x2_y2_zz2_zzz2[1], - x2_y2_zz2_zzz2[2], - x2_y2_zz2_zzz2[3], - ) - - -@jax.named_call -def pdul_lazy_xyzz_pack(x1_y1_zz1_zzz1: jax.Array): - return pdul_lazy_xyzz( - x1_y1_zz1_zzz1[0], - x1_y1_zz1_zzz1[1], - x1_y1_zz1_zzz1[2], - x1_y1_zz1_zzz1[3], - ) - - -# Lazy Reduction Based Function -@jax.named_call -@functools.partial(jax.jit, static_argnames="twisted_d_chunk") -def padd_lazy_twisted( - x1: jax.Array, - y1: jax.Array, - z1: jax.Array, - t1: jax.Array, - x2: jax.Array, - y2: jax.Array, - z2: jax.Array, - t2: jax.Array, - twisted_d_chunk=util.TWIST_D_INT_CHUNK, -): - """PADD-LAZY elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassTwisted::add_general - - This function implements the PADD-LAZY elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - z1: The third generator element. - t1: The fourth generator element. - x2: The first generator element. - y2: The second generator element. - z2: The third generator element. - t2: The fourth generator element. - twisted_d_chunk: The twisted d parameter. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - cond_sub_2u16_ext = functools.partial( - cond_sub_2u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - cond_sub_mod_u16_ext = functools.partial( - cond_sub_mod_u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - - twisted_d = jnp.asarray(twisted_d_chunk, dtype=jnp.uint16) - twisted_d = jax.lax.broadcast(twisted_d, [x1.shape[0]]) - - a = mod_mul_lazy_2u16(x1, x2) - b = mod_mul_lazy_2u16(y1, y2) - d = mod_mul_lazy_2u16(z1, z2) - c = mod_mul_lazy_2u16(t1, t2) - c = mod_mul_lazy_2u16(c, twisted_d) - - h = add_2u16(a, b) - h = cond_sub_mod_u16_ext(h) - e1 = add_2u16(x1, y1) - e1 = cond_sub_mod_u16_ext(e1) - e2 = add_2u16(x2, y2) - e2 = cond_sub_mod_u16_ext(e2) - e = mod_mul_lazy_2u16(e1, e2) - - e = cond_sub_2u16_ext(e, h) - - f = cond_sub_2u16_ext(d, c) - g = add_2u16(d, c) - g = cond_sub_mod_u16_ext(g) - - x3 = mod_mul_lazy_2u16(e, f) - y3 = mod_mul_lazy_2u16(g, h) - z3 = mod_mul_lazy_2u16(f, g) - t3 = mod_mul_lazy_2u16(e, h) - - return jnp.array([x3, y3, z3, t3]) - - -def pdul_lazy_twisted( - x1: jax.Array, - y1: jax.Array, - z1: jax.Array, - t1: jax.Array, -): - """PDUL-LAZY elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassTwisted::double_general - - This function implements the PDUL-LAZY elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - z1: The third generator element. - t1: The fourth generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - cond_sub_2u16_ext = functools.partial( - cond_sub_2u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - cond_sub_mod_u16_ext = functools.partial( - cond_sub_mod_u16, - modulus_377_int_chunk=util.MODULUS_377_S16_INT_CHUNK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - modulus_377_int_array = jnp.asarray( - util.MODULUS_377_S16_INT_CHUNK, jnp.uint16 - ) - - a = mod_mul_lazy_2u16(x1, x1) - b = mod_mul_lazy_2u16(y1, y1) - - ct = mod_mul_lazy_2u16(z1, z1) - ct2 = add_2u16(ct, ct) # - ct2 = cond_sub_mod_u16_ext(ct2) # - - h = add_2u16(a, b) - h = cond_sub_2u16_ext(modulus_377_int_array, h) # - - et = add_2u16(x1, y1) # - et = cond_sub_mod_u16_ext(et) # - e = mod_mul_lazy_2u16(et, et) # - e = add_2u16(e, h) # - e = cond_sub_mod_u16_ext(e) # - - g = cond_sub_2u16_ext(b, a) # - f = cond_sub_2u16_ext(g, ct2) # - x3 = mod_mul_lazy_2u16(e, f) # - y3 = mod_mul_lazy_2u16(g, h) - z3 = mod_mul_lazy_2u16(f, g) - t3 = mod_mul_lazy_2u16(e, h) - return jnp.array([x3, y3, z3, t3]) - - -def pneg_lazy_twisted( - x1: jax.Array, - y1: jax.Array, - z1: jax.Array, - t1: jax.Array, -): - """PDUL-LAZY elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassTwisted::double_general - - This function implements the PDUL-LAZY elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - z1: The third generator element. - t1: The fourth generator element. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - - modulus_377_int_array = jnp.asarray( - util.MODULUS_377_S16_INT_CHUNK, jnp.uint16 - ) - sub_2u16_ext = functools.partial( - sub_2u16, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - ) - - x3 = sub_2u16_ext(modulus_377_int_array, x1) - y3 = y1 - z3 = z1 - t3 = sub_2u16_ext(modulus_377_int_array, t1) - - return jnp.array([x3, y3, z3, t3]) - - -def padd_lazy_twisted_pack(x1_y1_z1_t1: jax.Array, x2_y2_z2_t2: jax.Array): - return padd_lazy_twisted( - x1_y1_z1_t1[0], - x1_y1_z1_t1[1], - x1_y1_z1_t1[2], - x1_y1_z1_t1[3], - x2_y2_z2_t2[0], - x2_y2_z2_t2[1], - x2_y2_z2_t2[2], - x2_y2_z2_t2[3], - ) - - -def pdul_lazy_twisted_pack(x1_y1_z1_t1: jax.Array): - return pdul_lazy_twisted( - x1_y1_z1_t1[0], - x1_y1_z1_t1[1], - x1_y1_z1_t1[2], - x1_y1_z1_t1[3], - ) - - -def pneg_lazy_twisted_pack(x1_y1_z1_t1: jax.Array): - return pneg_lazy_twisted( - x1_y1_z1_t1[0], - x1_y1_z1_t1[1], - x1_y1_z1_t1[2], - x1_y1_z1_t1[3], - ) - - -# RNS Based Functions -@jax.named_call -@functools.partial(jax.jit, static_argnames="rns_mat") -def padd_rns_xyzz_pack( - x1_y1_zz1_zzz1: jax.Array, - x2_y2_zz2_zzz2: jax.Array, - rns_mat=util.RNS_MAT, -): - """PADD-RNS elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::add_general - - This function implements the PADD-RNS elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1_y1_zz1_zzz1: The first point. - x2_y2_zz2_zzz2: The second point. - rns_mat: The RNS matrix. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - - # u1 = x1 * zz2 - # u2 = x2 * zz1 - # s1 = y1 * zzz2 - # s2 = y2 * zzz1 - # zz1_zz2 = zz1 * zz2 - # zzz1_zzz2 = zzz1 * zzz2 - num_moduli = x1_y1_zz1_zzz1.shape[-1] - inputsl = jnp.vstack((x1_y1_zz1_zzz1, x1_y1_zz1_zzz1[2:])).reshape( - -1, num_moduli - ) - inputsr = jnp.vstack( - (x2_y2_zz2_zzz2[2:], x2_y2_zz2_zzz2[2:], x2_y2_zz2_zzz2[:2]) - ).reshape(-1, num_moduli) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - u1, s1, zz1_zz2, zzz1_zzz2, u2, s2 = jnp.vsplit(outputs, 6) - - # p = u2 - u1 - # r = s2 - s1 - p = add_sub_rns_var(u2, negate_rns_for_var_add(u1)) - r = add_sub_rns_var(s2, negate_rns_for_var_add(s1)) - - # pp = p * p - # rr = r * r - pp = mod_mul_rns_2u16(p, p, rns_mat) - rr = mod_mul_rns_2u16(r, r, rns_mat) - - # ppp = p * pp - # q = u1 * pp - # zz3 = zz1_zz2 * pp - inputsl = jnp.vstack((p, u1, zz1_zz2)) - inputsr = jnp.vstack((pp, pp, pp)) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - ppp, q, zz3 = jnp.vsplit(outputs, 3) - - # x3 = r * r - ppp - (q + q) - # q_x3 = q - x3 - x3 = add_sub_rns_var( - rr, - negate_rns_for_var_add(ppp), - negate_rns_for_var_add(q), - negate_rns_for_var_add(q), - ) - q_x3 = add_sub_rns_var(q, negate_rns_for_var_add(x3)) - - # s1_ppp = s1 * ppp - # r_q_x3 = r * q_x3 - # zzz3 = zzz1_zzz2 * ppp - # y3 = r_q_x3 - s1_ppp - inputsl = jnp.vstack((s1, zzz1_zzz2, r)) - inputsr = jnp.vstack((ppp, ppp, q_x3)) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - s1_ppp, zzz3, r_q_x3 = jnp.vsplit(outputs, 3) - - y3 = add_sub_rns_var(r_q_x3, negate_rns_for_var_add(s1_ppp)) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="rns_mat") -def pdul_rns_xyzz( - x1: jax.Array, - y1: jax.Array, - zz1: jax.Array, - zzz1: jax.Array, - rns_mat=util.RNS_MAT, -): - """PDUL-RNS elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::double_general - - This function implements the PDUL-RNS elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - zz1: The third generator element. - zzz1: The third generator element. - rns_mat: The RNS matrix. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - # u = y1 + y1 - u = add_rns_2u16(y1, y1) - - # v = u * u - v = mod_mul_rns_2u16(u, u, rns_mat) - - # x1x1 = x1 * x1 - # w = u * v - # s = x1 * v - inputsl = jnp.vstack((x1, u, x1)) - inputsr = jnp.vstack((x1, v, v)) - output = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - x1x1, w, s = jnp.vsplit(output, 3) - - # m = (x1x1 + x1x1 + x1x1) + a * (zz1 * zz1), Note: a = 0 - m = add_rns_3u16(x1x1, x1x1, x1x1) - - # mm = m * m - # w_y1 = w * y1 - # zz3 = v * zz1 - # zzz3 = w * zzz1 - inputsl = jnp.vstack((m, w, v, w)) - inputsr = jnp.vstack((m, y1, zz1, zzz1)) - output = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - mm, w_y1, zz3, zzz3 = jnp.vsplit(output, 4) - - # x3 = mm - (s + s) - x3 = add_sub_rns_var(mm, negate_rns_for_var_add(s), negate_rns_for_var_add(s)) - - # s_x3 = s - x3 - s_x3 = add_sub_rns_var(s, negate_rns_for_var_add(mm), s, s) - - # m_s_x3 = m * s_x3 - w_y1 - m_s_x3 = mod_mul_rns_2u16(m, s_x3, rns_mat) - - # y3 = m_s_x3 - w_y1 - y3 = add_sub_rns_var(m_s_x3, negate_rns_for_var_add(w_y1)) - - return jnp.array([x3, y3, zz3, zzz3]) - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="rns_mat") -def pdul_rns_xyzz_pack(x1_y1_zz1_zzz1: jax.Array, rns_mat=util.RNS_MAT): - return pdul_rns_xyzz( - x1_y1_zz1_zzz1[0], - x1_y1_zz1_zzz1[1], - x1_y1_zz1_zzz1[2], - x1_y1_zz1_zzz1[3], - rns_mat, - ) - - -# RNS Based Functions -@jax.named_call -@functools.partial(jax.jit, static_argnames=("rns_mat", "twist_d")) -def padd_rns_twisted_pack( - x1_y1_zz1_zzz1: jax.Array, - x2_y2_zz2_zzz2: jax.Array, - rns_mat=util.RNS_MAT, - twist_d=util.TWIST_D_RNS, -): - """PADD-RNS elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::add_general - - This function implements the PADD-RNS elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1_y1_zz1_zzz1: The first point. - x2_y2_zz2_zzz2: The second point. - rns_mat: The RNS matrix. - twist_d: curve parameter. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - twist_d = jnp.array(twist_d, dtype=jnp.uint16) - - inputsl = jnp.vstack(x1_y1_zz1_zzz1) - inputsr = jnp.vstack(x2_y2_zz2_zzz2) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - a, b, d, c = jnp.vsplit(outputs, 4) - - e1 = add_rns_2u16(x1_y1_zz1_zzz1[0], x1_y1_zz1_zzz1[1]) - e2 = add_rns_2u16(x2_y2_zz2_zzz2[0], x2_y2_zz2_zzz2[1]) - twist_d_here = jnp.broadcast_to( - twist_d.reshape(-1, twist_d.shape[0]), c.shape - ) - inputsl = jnp.vstack((e1, c)) - inputsr = jnp.vstack((e2, twist_d_here)) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - e3, c = jnp.vsplit(outputs, 2) - - # Issue happens here - e = add_sub_rns_var( - e3, - negate_rns_for_var_add_zero_check(a), - negate_rns_for_var_add_zero_check(b), - ) - f = add_sub_rns_var(d, negate_rns_for_var_add_zero_check(c)) - g = add_rns_2u16(d, c) - h = add_rns_2u16(a, b) - - inputsl = jnp.vstack((e, g, f, e)) - inputsr = jnp.vstack((f, h, g, h)) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - x3, y3, z3, t3 = jnp.vsplit(outputs, 4) - - return jnp.array([x3, y3, z3, t3]) - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="rns_mat") -def pdul_rns_twisted( - x1: jax.Array, - y1: jax.Array, - z1: jax.Array, - t1: jax.Array, - rns_mat=util.RNS_MAT, -): - """PDUL-RNS elliptic curve operation with packed arguments. - - As for the algorithm, pls refer to - jaxite_ec/algorithm/elliptic_curve.py::ECCSWeierstrassXYZZ::double_general - - This function implements the PDUL-RNS elliptic curve operation with packed - arguments, which is used to compute the elliptic curve points of a given - group. - - Args: - x1: The first generator element. - y1: The second generator element. - z1: The third generator element. - t1: The third generator element. - rns_mat: The RNS matrix. - - Returns: - A tuple containing the third generator element and the elliptic curve points - of the group. - """ - et = add_rns_2u16(x1, y1) - inputsl = jnp.vstack((x1, y1, z1, et)) - outputs = mod_mul_rns_2u16(inputsl, inputsl, rns_mat) - a, b, ct, et2 = jnp.vsplit(outputs, 4) - - e = add_sub_rns_var(et2, negate_rns_for_var_add(a), negate_rns_for_var_add(b)) - g = add_sub_rns_var(b, negate_rns_for_var_add(a)) - f = add_sub_rns_var(g, negate_rns_for_var_add(ct), negate_rns_for_var_add(ct)) - h = add_sub_rns_var(negate_rns_for_var_add(a), negate_rns_for_var_add(b)) - - inputsl = jnp.vstack((e, g, f, e)) - inputsr = jnp.vstack((f, h, g, h)) - outputs = mod_mul_rns_2u16(inputsl, inputsr, rns_mat) - x3, y3, z3, t3 = jnp.vsplit(outputs, 4) - - return jnp.array([x3, y3, z3, t3]) - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="rns_mat") -def pdul_rns_twisted_pack(x1_y1_zz1_zzz1: jax.Array, rns_mat=util.RNS_MAT): - return pdul_rns_twisted( - x1_y1_zz1_zzz1[0], - x1_y1_zz1_zzz1[1], - x1_y1_zz1_zzz1[2], - x1_y1_zz1_zzz1[3], - rns_mat, - ) - - -@jax.named_call -def rns_twist_zero(): - return jnp.array( - [rns_constant(0), rns_constant(1), rns_constant(1), rns_constant(0)] - ) diff --git a/jaxite_ec/elliptic_curve_context.py b/jaxite_ec/elliptic_curve_context.py new file mode 100644 index 0000000..bda2862 --- /dev/null +++ b/jaxite_ec/elliptic_curve_context.py @@ -0,0 +1,818 @@ +import abc +from concurrent.futures import ProcessPoolExecutor +import functools +import multiprocessing +import os +import warnings + +import jax +import jax.numpy as jnp +from jaxite.jaxite_ec import finite_field_context +from jaxite.jaxite_ec import utils +import numpy as np + +FiniteFieldContextBase = finite_field_context.FiniteFieldContextBase +abstractmethod = abc.abstractmethod +ABC = abc.ABC + + +# Use 'forkserver' to avoid JAX multithreading + fork deadlock +_MP_CONTEXT = multiprocessing.get_context("forkserver") + +JaxParameters = utils.JaxParameters +JaxKernelContextBase = utils.JaxKernelContextBase +hash_args = utils.hash_args +pad_jax_array = utils.pad_jax_array +store_jax_executable = utils.store_jax_kernel +load_jax_executable = utils.load_jax_kernel +jax_jit_lower_compile = utils.jax_jit_lower_compile +jax.config.update("jax_enable_x64", True) + + +class EllipticCurveContextBase(ABC): + """Abstract base class defining the interface for finite field operations. + + Subclasses must implement all abstract methods to provide concrete + finite field arithmetic operations. + """ + + @abstractmethod + def __init__(self, parameters: dict): + """Initialize the finite field context. + + Args: + parameters: Configuration dictionary containing field parameters. + """ + self.parameters = parameters + self.prime = parameters.get("prime", None) + assert self.prime is not None, "prime must be provided" + self.zero_point = None + ff_ctx_class = parameters.get("finite_field_context_class", None) + assert ( + ff_ctx_class is not None + ), "finite_field_context_class must be provided" + self.ff_ctx: FiniteFieldContextBase = ff_ctx_class( + parameters.get("finite_field_parameters", {}) + ) + + @abstractmethod + def to_computational_format(self, a) -> jnp.ndarray: + """Convert input to the internal computational representation. + + Args: + a: Input value in standard format. + + Returns: + Value converted to computational format (e.g., Montgomery form). + """ + pass + + @abstractmethod + def to_original_format(self, a): + """Convert from computational format back to standard representation. + + Args: + a: Value in computational format. + + Returns: + Value in standard integer representation. + """ + pass + + @abstractmethod + def point_add(self, a: jnp.ndarray, b: jnp.ndarray): + """Perform point addition: (a + b) + + Args: + a: First operand in computational format. + b: Second operand in computational format. + + Returns: + Product in computational format. + """ + pass + + @abstractmethod + def point_double(self, a: jnp.ndarray): + """Perform point doubling: (2 * a) + + Args: + a: First operand in computational format. + + Returns: + Product in computational format. + """ + pass + + def get_finite_field_context(self) -> FiniteFieldContextBase: + return self.ff_ctx + + def _modular_multiply(self, a: int, b: int) -> int: + return (a * b) % self.prime + + def _modular_reduce(self, a: int) -> int: + return a % self.prime + + def _modular_divide(self, a: int, b: int) -> int: + assert b != 0, "ec divide: b is zero" + b_inv = pow(b, self.prime - 2, self.prime) + return (a * b_inv) % self.prime + + +class CPUWeierstrassAffineContext(EllipticCurveContextBase): + """CPU implementation of Weierstrass affine curve operations. + + This class provides CPU-based implementations for point addition and doubling + on a Weierstrass curve in affine coordinates. + This class is only for private functional testing, not for production use. + """ + + def __init__(self, parameters: dict): + super().__init__(parameters) + # warnings.warn("CPUWeierstrassAffineContext is only for private functional testing, not for production use",UserWarning, stacklevel=2) + + # Curve configuration + self.a = parameters["a"] + self.b = parameters["b"] + + def point_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + raise NotImplementedError( + "CPUWeierstrassAffineContext: point_add is not implemented" + ) + + def point_double(self, point: jnp.ndarray) -> jnp.ndarray: + raise NotImplementedError( + "CPUWeierstrassAffineContext: point_double is not implemented" + ) + + def to_computational_format(self, a: list) -> jnp.ndarray: + raise NotImplementedError( + "CPUWeierstrassAffineContext: to_computational_format is not" + " implemented" + ) + + def to_original_format(self, a: jnp.ndarray) -> list: + raise NotImplementedError( + "CPUWeierstrassAffineContext: to_original_format is not implemented" + ) + + def _point_add(self, point_a: list, point_b: list) -> list: + def single_point_add(point_a: list, point_b: list) -> list[int]: + x1, y1 = point_a + x2, y2 = point_b + slope = self._modular_divide( + self._modular_reduce(y2 - y1), self._modular_reduce(x2 - x1) + ) + x3 = self._modular_reduce(self._modular_multiply(slope, slope) - x1 - x2) + y3 = self._modular_reduce( + self._modular_multiply(slope, self._modular_reduce(x1 - x3)) - y1 + ) + return [x3, y3] + + list_depth = utils.nested_list_depth(point_a) + if list_depth == 1: + return single_point_add(point_a, point_b) + elif list_depth == 2: + return [ + single_point_add(point_a_i, point_b_i) + for point_a_i, point_b_i in zip(point_a, point_b) + ] + else: + raise ValueError( + f"Invalid list depth {list_depth} of input for point addition" + ) + + def _point_double(self, point: list) -> list: + def single_point_double(point: list) -> list[int]: + x, y = point + slope = self._modular_divide( + self._modular_reduce(3 * x * x + self.a), self._modular_reduce(2 * y) + ) + x3 = self._modular_reduce(self._modular_multiply(slope, slope) - 2 * x) + y3 = self._modular_reduce(self._modular_multiply(slope, x - x3) - y) + return [x3, y3] + + list_depth = utils.nested_list_depth(point) + if list_depth == 1: + return single_point_double(point) + elif list_depth == 2: + return [single_point_double(point_i) for point_i in point] + else: + raise ValueError("Invalid list depth of input for point doubling") + + +class ExtendedTwistedEdwardsContextBase(EllipticCurveContextBase): + + def __init__(self, parameters: dict): + super().__init__(parameters) + + # Curve configuration + self.a = parameters["a"] + self.twist_d = parameters["twist_d"] + self.alpha = parameters["alpha"] + self.s = parameters["s"] + self.A = parameters["MA"] + self.B = parameters["MB"] + self.t = parameters["t"] + self.k = self.twist_d + self.twist_d + self.zero_point = [0, 1, 1, 0] + + def _twist(self, coordinates: list[int]) -> list[int]: + assert ( + len(coordinates) == 2 + ), "Twisted Edwards coordinates must be of length 2" + x, y = coordinates + # Convert to montgomery (Notel it is ec montgomery not field montgomery) + xm = self._modular_reduce(self.s * (x - self.alpha)) + ym = self._modular_reduce(self.s * y) + # Convert to edwards + if ym == 0: + raise ValueError("ec twist: ym is zero") + xt = self._modular_divide(xm, ym) + + yt_denom = xm + 1 + if yt_denom == 0: + raise ValueError("ec twist: yt_denom is zero") + yt = self._modular_divide(xm - 1, yt_denom) + + xt = self._modular_multiply(xt, self.t) + return [xt, yt] + + def _untwist(self, coordinates: list[int]) -> list[int]: + assert ( + len(coordinates) == 2 + ), "Twisted Edwards coordinates must be of length 2" + xt, yt = coordinates + xt = self._modular_divide(xt, self.t) + # Convert to montgomery + xm = self._modular_divide((1 + yt), (1 - yt)) + ym = self._modular_divide((1 + yt), self._modular_multiply((1 - yt), xt)) + # Convert to weierstrass + x = self._modular_reduce( + self._modular_divide(xm, self.B) + + self._modular_divide(self.A, self._modular_multiply(3, self.B)) + ) + y = self._modular_divide(ym, self.B) + return [x, y] + + def _convert_to_edwards_affine(self, coordinates: list[int]) -> list[int]: + assert ( + len(coordinates) == 4 + ), "Twisted Edwards coordinates must be of length 2" + x, y, z, t = coordinates + z_inv = self._modular_divide(1, z) + x = self._modular_multiply(x, z_inv) + y = self._modular_multiply(y, z_inv) + return [x, y] + + def _convert_to_extended_twisted_edwards( + self, coordinates: list[int] + ) -> list[int]: + assert ( + len(coordinates) == 2 + ), "Twisted Edwards coordinates must be of length 2" + xt, yt = self._twist(coordinates) + return [xt, yt, 1, self._modular_multiply(xt, yt)] + + def _convert_to_weierstrass_affine(self, coordinates: list[int]) -> list[int]: + assert ( + len(coordinates) == 4 + ), "Extended Twisted Edwards coordinates must be of length 4" + affine_coords = self._convert_to_edwards_affine(coordinates) + untwisted_coords = self._untwist(affine_coords) + return untwisted_coords + + +class ExtendedTwistedEdwardsContext( + ExtendedTwistedEdwardsContextBase, JaxKernelContextBase +): + + def __init__(self, parameters: dict): + super().__init__(parameters) + JaxKernelContextBase.__init__(self) + self.jax_parameters = JaxParameters() + self._init_jax_parameters() + + def to_computational_format(self, a: list) -> jnp.ndarray: + list_depth = utils.nested_list_depth(a) + # NOTE: the dimension is (batch, coordinates) + if list_depth == 1: + twisted_coords = self._convert_to_extended_twisted_edwards(a) + elif list_depth == 2: + twisted_coords = [ + self._convert_to_extended_twisted_edwards(a_i) for a_i in a + ] + else: + raise ValueError( + "Invalid list depth of input for converting to extended twisted" + " edwards coordinates" + ) + result = self.ff_ctx.to_computational_format(twisted_coords) + if list_depth == 1: + result = jnp.broadcast_to(result, (result.shape[0], 1, result.shape[1])) + elif list_depth == 2: + result = result.transpose(1, 0, 2) + # NOTE: the computational format dim is (coordinates, batch, precision) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=result.shape, axes=[1] + ) + result = pad_jax_array(result, padded_shape) + return result.to_device(named_sharding) + else: + return result.to_device(jax.devices()[0]) + + def to_original_format(self, a: jnp.ndarray) -> list: + dim = a.ndim + # NOTE: the computational format dim is (coordinates, batch, precision) + if dim == 3: + a = a.transpose( + 1, 0, 2 + ) # (coordinates, batch, precision) -> (batch, coordinates, precision) + a = self.ff_ctx.to_original_format(a) + if dim == 2: + affine_coords = self._convert_to_weierstrass_affine(a) + elif dim == 3: + affine_coords = [self._convert_to_weierstrass_affine(a_i) for a_i in a] + else: + raise ValueError( + "Invalid dimension of input for converting to weierstrass affine" + " coordinates" + ) + return affine_coords + + def _init_jax_parameters(self): + self.jax_parameters.set_parameter( + twist_d=self.ff_ctx.to_computational_format(self.twist_d), + ) + + def _point_add( + self, point_a: jnp.ndarray, point_b: jnp.ndarray + ) -> jnp.ndarray: + twist_d = self.jax_parameters.twist_d + + inputsl = point_a + inputsr = point_b + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + a, b, d, c = jnp.vsplit(outputs, 4) + # print(a.shape, b.shape, d.shape, c.shape) + + pax, pay, _, _ = jnp.vsplit(point_a, 4) + pbx, pby, _, _ = jnp.vsplit(point_b, 4) + + e1 = self.ff_ctx._modular_add(pax, pay) + e2 = self.ff_ctx._modular_add(pbx, pby) + twist_d_here = jnp.broadcast_to( + twist_d.reshape(-1, twist_d.shape[0]), c.shape + ) + if self.use_sharding: + twist_d_here = jax.sharding.reshard(twist_d_here, jax.typeof(e2).sharding) + inputsl = jnp.concatenate((e1, c), axis=0) + inputsr = jnp.concatenate((e2, twist_d_here), axis=0) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + e3, c = jnp.vsplit(outputs, 2) + + e = self.ff_ctx._modular_subtract(self.ff_ctx._modular_subtract(e3, a), b) + f = self.ff_ctx._modular_subtract(d, c) + g = self.ff_ctx._modular_add(d, c) + h = self.ff_ctx._modular_add(a, b) + + inputsl = jnp.concatenate((e, g, f, e), axis=0) + inputsr = jnp.concatenate((f, h, g, h), axis=0) + # print(inputsl.shape, inputsr.shape) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + return outputs.reshape(4, -1, outputs.shape[-1]) + + def _point_double(self, point: jnp.ndarray) -> jnp.ndarray: + x, y, z, t = point + + et = self.ff_ctx._modular_multiply(x, y) + inputsl = jnp.vstack((x, y, z, et)) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsl) + a, b, ct, et2 = jnp.vsplit(outputs, 4) + + h = self.ff_ctx._modular_negate(self.ff_ctx._modular_add(a, b)) + e = self.ff_ctx._modular_add(et2, h) + g = self.ff_ctx._modular_subtract(b, a) + f = self.ff_ctx._modular_subtract(g, self.ff_ctx._modular_add(ct, ct)) + + inputsl = jnp.vstack((e, g, f, e)) + inputsr = jnp.vstack((f, h, g, h)) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + return outputs.reshape(4, -1, outputs.shape[-1]) + + def point_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + + if self.use_compiled_kernels: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + return self.compiled_kernels[kernel_hash]["point_add"](a, b) + else: + return self._point_add(a, b) + + # TODO: fix the functional bug in point_double + def point_double(self, point: jnp.ndarray) -> jnp.ndarray: + raise ValueError("point_double has logic bug") + shape_dtype_struct = jax.ShapeDtypeStruct(point.shape, point.dtype) + if self.use_compiled_kernels: + return self.compiled_kernels[shape_dtype_struct.__hash__()][ + "point_double" + ](point) + else: + return self._point_double(point) + + def _get_shape_dtype_structs( + self, parameters: dict + ) -> list[jax.ShapeDtypeStruct]: + batch_size = parameters["batch_size"] + num_moduli = self.jax_parameters.twist_d.shape[0] + point_shape = (4, batch_size, num_moduli) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=point_shape, axes=[1] + ) + return [ + jax.ShapeDtypeStruct( + padded_shape, jnp.uint32, sharding=named_sharding + ) + ] + return [jax.ShapeDtypeStruct(point_shape, jnp.uint32)] + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.ff_ctx.context_hash(), + self.a, + self.twist_d, + self.alpha, + self.s, + self.A, + self.B, + self.t, + self.use_sharding, + ) + + def serialize(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + store_jax_executable( + self._point_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_point_add_{kernel_hash}", + ) + store_jax_executable( + self._point_double, + shape_dtype_structs[0], + name=f"{class_name}_point_double_{kernel_hash}", + ) + + def compile(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + point_add_kernel = load_jax_executable( + f"{class_name}_point_add_{kernel_hash}" + ) + point_double_kernel = load_jax_executable( + f"{class_name}_point_double_{kernel_hash}" + ) + + if None in [point_add_kernel, point_double_kernel]: + warnings.warn( + f"Not found stored serialized compiled kernels, compiling...", + UserWarning, + stacklevel=2, + ) + + kernel_hash = hash_args( + shape_dtype_structs[0].shape, shape_dtype_structs[0].dtype.__str__() + ) + self.compiled_kernels[kernel_hash] = { + "point_add": ( + point_add_kernel + if point_add_kernel is not None + else jax_jit_lower_compile( + self._point_add, shape_dtype_structs[0], shape_dtype_structs[0] + ) + ), + "point_double": ( + point_double_kernel + if point_double_kernel is not None + else jax_jit_lower_compile( + self._point_double, shape_dtype_structs[0] + ) + ), + } + self.use_compiled_kernels = True + + +def _twist_extend_and_rns_worker( + point, s, alpha, prime, prime_m2, t, rns_moduli, radix_bits +): + """Module-level worker: twist + extend + RNS conversion using gmpy2 (must be picklable).""" + import gmpy2 + + x, y = gmpy2.mpz(point[0]), gmpy2.mpz(point[1]) + xm = (s * (x - alpha)) % prime + ym = (s * y) % prime + if ym == 0: + raise ValueError("ec twist: ym is zero") + xt = (xm * gmpy2.powmod(ym, prime_m2, prime)) % prime + yt_denom = xm + 1 + if yt_denom == 0: + raise ValueError("ec twist: yt_denom is zero") + yt = ((xm - 1) * gmpy2.powmod(yt_denom, prime_m2, prime)) % prime + xt = (xt * t) % prime + coords = [int(xt), int(yt), 1, int((xt * yt) % prime)] + # RNS conversion inline: (a % m) << radix_bits) % m for each coordinate + return [[(((c % m) << radix_bits) % m) for m in rns_moduli] for c in coords] + + +class ExtendedTwistedEdwardsNDContext( + ExtendedTwistedEdwardsContextBase, JaxKernelContextBase +): + """Extended Twisted Edwards context supporting arbitrary batch dimensions. + + Computational format layout: (coordinates=4, *batch_dims, precision) + where batch_dims can be any number of dimensions, e.g.: + - (4, batch, precision) -- 1D batch + - (4, batch1, batch2, precision) -- 2D batch + - (4, batch1, batch2, batch3, precision) -- 3D batch + + Input points are nested lists of [x, y] affine Weierstrass coordinates. + Nesting depth determines batch dimensions: + - [x, y] → (4, 1, precision) + - [[x,y], ...] → (4, batch1, precision) + - [[[x,y], ...], ...] → (4, batch1, batch2, precision) + """ + + def __init__(self, parameters: dict): + super().__init__(parameters) + JaxKernelContextBase.__init__(self) + self.jax_parameters = JaxParameters() + self._init_jax_parameters() + + def to_computational_format(self, a: list) -> jnp.ndarray: + list_depth = utils.nested_list_depth(a) + if list_depth < 1: + raise ValueError(f"Invalid list depth {list_depth} for point conversion") + + # Use parallel processing with gmpy2 for large flat batches of points (depth==2) + # Fuses twist + extend + RNS conversion into one parallel step + _PARALLEL_THRESHOLD = 2048 + if list_depth == 2 and len(a) >= _PARALLEL_THRESHOLD: + import gmpy2 + + ff_ctx = self.ff_ctx + worker = functools.partial( + _twist_extend_and_rns_worker, + s=gmpy2.mpz(self.s), + alpha=gmpy2.mpz(self.alpha), + prime=gmpy2.mpz(self.prime), + prime_m2=gmpy2.mpz(self.prime - 2), + t=gmpy2.mpz(self.t), + rns_moduli=ff_ctx.rns_moduli, + radix_bits=ff_ctx.radix_bits, + ) + num_workers = min(64, os.cpu_count() or 1, max(1, len(a) // 256)) + with ProcessPoolExecutor( + max_workers=num_workers, mp_context=_MP_CONTEXT + ) as pool: + rns_coords = list( + pool.map(worker, a, chunksize=max(1, len(a) // num_workers)) + ) + # rns_coords: list of (4, moduli_num) per point → (N, 4, moduli_num) array + result = jnp.array( + np.array(rns_coords, dtype=np.uint32), dtype=jnp.uint32 + ) + # (N, 4, moduli_num) → (4, N, moduli_num) + result = result.transpose(1, 0, 2) + else: + + def recursive_twist(lst, depth): + if depth == 1: + return self._convert_to_extended_twisted_edwards(lst) + return [recursive_twist(item, depth - 1) for item in lst] + + twisted_coords = recursive_twist(a, list_depth) + + result = self.ff_ctx.to_computational_format(twisted_coords) + + if list_depth == 1: + # (4, precision) → (4, 1, precision) + result = jnp.expand_dims(result, axis=1) + else: + # (*batch_dims, 4, precision) → (4, *batch_dims, precision) + ndim = result.ndim + perm = (ndim - 2,) + tuple(range(ndim - 2)) + (ndim - 1,) + result = result.transpose(perm) + + if self.use_sharding: + shard_axes = list(range(1, min(3, result.ndim - 1))) + if not shard_axes: + shard_axes = [1] + named_sharding, padded_shape = self.create_named_sharding( + shape=result.shape, axes=shard_axes + ) + result = pad_jax_array(result, padded_shape) + return result.to_device(named_sharding) + else: + return result.to_device(jax.devices()[0]) + + def to_original_format(self, a: jnp.ndarray) -> list: + ndim = a.ndim + if ndim < 2: + raise ValueError(f"Expected at least 2D array, got {ndim}D") + + if ndim == 2: + a_orig = self.ff_ctx.to_original_format(a) + return self._convert_to_weierstrass_affine(a_orig) + + # (4, *batch_dims, precision) → (*batch_dims, 4, precision) + perm = tuple(range(1, ndim - 1)) + (0, ndim - 1) + a = a.transpose(perm) + a_orig = self.ff_ctx.to_original_format(a) + + batch_depth = ndim - 2 + + def recursive_untwist(lst, depth): + if depth == 0: + return self._convert_to_weierstrass_affine(lst) + return [recursive_untwist(item, depth - 1) for item in lst] + + return recursive_untwist(a_orig, batch_depth) + + def _init_jax_parameters(self): + self.jax_parameters.set_parameter( + twist_d=self.ff_ctx.to_computational_format(self.twist_d), + ) + + def _point_add( + self, point_a: jnp.ndarray, point_b: jnp.ndarray + ) -> jnp.ndarray: + twist_d = self.jax_parameters.twist_d + + inputsl = point_a + inputsr = point_b + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + a, b, d, c = jnp.vsplit(outputs, 4) + + pax, pay, _, _ = jnp.vsplit(point_a, 4) + pbx, pby, _, _ = jnp.vsplit(point_b, 4) + + e1 = self.ff_ctx._modular_add(pax, pay) + e2 = self.ff_ctx._modular_add(pbx, pby) + twist_d_here = jnp.broadcast_to(twist_d, c.shape) + try: + _e2_sh = jax.typeof(e2).sharding + if _e2_sh is not None: + twist_d_here = jax.sharding.reshard(twist_d_here, _e2_sh) + except Exception: + pass + inputsl = jnp.concatenate((e1, c), axis=0) + inputsr = jnp.concatenate((e2, twist_d_here), axis=0) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + e3, c = jnp.vsplit(outputs, 2) + + e = self.ff_ctx._modular_subtract(self.ff_ctx._modular_subtract(e3, a), b) + f = self.ff_ctx._modular_subtract(d, c) + g = self.ff_ctx._modular_add(d, c) + h = self.ff_ctx._modular_add(a, b) + + inputsl = jnp.concatenate((e, g, f, e), axis=0) + inputsr = jnp.concatenate((f, h, g, h), axis=0) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + return outputs + + def _point_double(self, point: jnp.ndarray) -> jnp.ndarray: + original_shape = point.shape + x, y, z, t = point + + et = self.ff_ctx._modular_multiply(x, y) + inputsl = jnp.vstack((x, y, z, et)) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsl) + a, b, ct, et2 = jnp.vsplit(outputs, 4) + + h = self.ff_ctx._modular_negate(self.ff_ctx._modular_add(a, b)) + e = self.ff_ctx._modular_add(et2, h) + g = self.ff_ctx._modular_subtract(b, a) + f = self.ff_ctx._modular_subtract(g, self.ff_ctx._modular_add(ct, ct)) + + inputsl = jnp.vstack((e, g, f, e)) + inputsr = jnp.vstack((f, h, g, h)) + outputs = self.ff_ctx._modular_multiply(inputsl, inputsr) + return outputs.reshape(original_shape) + + def point_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + if self.use_compiled_kernels: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + return self.compiled_kernels[kernel_hash]["point_add"](a, b) + else: + return self._point_add(a, b) + + # TODO: fix the functional bug in point_double + def point_double(self, point: jnp.ndarray) -> jnp.ndarray: + raise ValueError("point_double has logic bug") + shape_dtype_struct = jax.ShapeDtypeStruct(point.shape, point.dtype) + if self.use_compiled_kernels: + return self.compiled_kernels[shape_dtype_struct.__hash__()][ + "point_double" + ](point) + else: + return self._point_double(point) + + def _get_shape_dtype_structs( + self, parameters: dict + ) -> list[jax.ShapeDtypeStruct]: + batch_shape = parameters.get("batch_shape", None) + if batch_shape is None: + batch_shape = (parameters["batch_size"],) + num_moduli = self.jax_parameters.twist_d.shape[0] + point_shape = (4,) + tuple(batch_shape) + (num_moduli,) + if self.use_sharding: + shard_axes = list(range(1, min(3, len(point_shape) - 1))) + if not shard_axes: + shard_axes = [1] + named_sharding, padded_shape = self.create_named_sharding( + shape=point_shape, axes=shard_axes + ) + return [ + jax.ShapeDtypeStruct( + padded_shape, jnp.uint32, sharding=named_sharding + ) + ] + return [jax.ShapeDtypeStruct(point_shape, jnp.uint32)] + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.ff_ctx.context_hash(), + self.a, + self.twist_d, + self.alpha, + self.s, + self.A, + self.B, + self.t, + self.use_sharding, + ) + + def serialize(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + store_jax_executable( + self._point_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_point_add_{kernel_hash}", + ) + store_jax_executable( + self._point_double, + shape_dtype_structs[0], + name=f"{class_name}_point_double_{kernel_hash}", + ) + + def compile(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + point_add_kernel = load_jax_executable( + f"{class_name}_point_add_{kernel_hash}" + ) + point_double_kernel = load_jax_executable( + f"{class_name}_point_double_{kernel_hash}" + ) + + if None in [point_add_kernel, point_double_kernel]: + warnings.warn( + f"Not found stored serialized compiled kernels, compiling...", + UserWarning, + stacklevel=2, + ) + + kernel_hash = hash_args( + shape_dtype_structs[0].shape, shape_dtype_structs[0].dtype.__str__() + ) + self.compiled_kernels[kernel_hash] = { + "point_add": ( + point_add_kernel + if point_add_kernel is not None + else jax_jit_lower_compile( + self._point_add, shape_dtype_structs[0], shape_dtype_structs[0] + ) + ), + "point_double": ( + point_double_kernel + if point_double_kernel is not None + else jax_jit_lower_compile( + self._point_double, shape_dtype_structs[0] + ) + ), + } + self.use_compiled_kernels = True diff --git a/jaxite_ec/elliptic_curve_perf_test.py b/jaxite_ec/elliptic_curve_perf_test.py new file mode 100644 index 0000000..5007608 --- /dev/null +++ b/jaxite_ec/elliptic_curve_perf_test.py @@ -0,0 +1,73 @@ +import os + +import jax +from jaxite.jaxite_ec import elliptic_curve_context as ec_context +from jaxite.jaxite_ec import finite_field_context as ff_context +from jaxite.jaxite_ec import utils +import toml + +from absl.testing import absltest +from absl.testing import parameterized + +jax.config.update("jax_enable_x64", True) + +CONFIG_PATH = os.path.join(os.path.dirname(__file__), "configurations.toml") + +BATCH_SIZE_LIST = [128, 256, 512, 1024, 2048, 4096] + +NUM_MODULI = 32 + +TEST_PARAMS_POINT_ADD = [ + ("point_add", BATCH_SIZE_LIST), +] + +TEST_PARAMS_POINT_DOUBLE = [ + ("point_double", BATCH_SIZE_LIST), +] + + +def _build_ec_context(): + ec_config = toml.load(CONFIG_PATH) + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, 28) + finite_field_parameters = { + "prime": ec_config["ec_parameters_bls12_377_affine"]["prime"], + "rns_moduli": rns_moduli, + "precision_bits": 28, + "radix_bits": 32, + } + ete_cfg = ec_config["ec_parameters_bls12_377_extended_twisted_edwards"] + ec_parameters = { + "finite_field_context_class": ff_context.DRNSlazyContext, + "finite_field_parameters": finite_field_parameters, + "prime": ete_cfg["prime"], + "order": ete_cfg["order"], + "a": ete_cfg["a"], + "twist_d": ete_cfg["d"], + "alpha": ete_cfg["alpha"], + "b": ete_cfg["b"], + "s": ete_cfg["s"], + "MA": ete_cfg["MA"], + "MB": ete_cfg["MB"], + "t": ete_cfg["t"], + "generator": ete_cfg["generator"], + } + return ec_context.ExtendedTwistedEdwardsContext(ec_parameters) + + +def _point_add_kernel(point_a, point_b, parameters): + return parameters["ctx"]._point_add(point_a, point_b) + + +def _point_double_kernel(point, parameters): + return parameters["ctx"]._point_double(point) + + +class ECPointAddPerformanceTest(parameterized.TestCase): + + @parameterized.named_parameters(*TEST_PARAMS_POINT_ADD) + def test_point_add_performance(self, batch_size_list): + pass + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/elliptic_curve_test.py b/jaxite_ec/elliptic_curve_test.py index 4b09116..10a3410 100644 --- a/jaxite_ec/elliptic_curve_test.py +++ b/jaxite_ec/elliptic_curve_test.py @@ -1,939 +1,98 @@ -import functools +import os -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import util -from jaxite.jaxite_ec.algorithm import config_file -import jaxite.jaxite_ec.algorithm.elliptic_curve as ec -import jaxite.jaxite_ec.elliptic_curve as jec +from jaxite.jaxite_ec import elliptic_curve_context as ec_context +from jaxite.jaxite_ec import finite_field_context as ff_context +from jaxite.jaxite_ec import utils +import numpy as np +import toml from absl.testing import absltest +from absl.testing import parameterized + +# NOTE: Ensure all tests point are on the curve +BLS12_377_TEST_CASES = [ + ( + "0", + [ + [ + 0x01AC3A384FC584EFD3E7F2C5A2927E7D454875C874A051027B9E7363D08942533EDE85DAE295D8CAB2751085206BCA76, + 0x011DB83AEC88460820F4868A73B12309EE2E910526E62DB4ACCB303ABF50F86C3985A072ED07A4B81FFB82D8DD247283, + ], + [ + 0x0164DDDBF27670CE389E2992C0E7DAB7741F1B925EDBDC254D2BC0830BAF8E0B186F80F0DD4DE0F0EA6176E55934D45B, + 0x01908E9D77A0F8AD89AC41441F74248704E756BC59C38920617F51BFCDB738EE5B123876D489D09C9EB904A321A336EC, + ], + ], + [ + [ + 0x01546AF2ABB4E189E9BBC412FDBF2A8E5EC6E4A3B0AF132E21EE9CEC3EF5E226490FB98D662670FA3CFB3948B7E2A48C, + 0x002961A558A885DF227FDB09F8BDF57AF179CB9437FF8828F13E9DF01AE55502F409AAF5058B88F2F7CCC7BC0676A5D4, + ], + [ + 0x00B0630E7F192D20443A93860275447074CE77DF559907FA1900F378D4674649BF25F85C893E2A1916B1DA57594F2E17, + 0x01ACC84F362CF60A265C011F0FE4360A15F51BECF7E2C3923FE07C66D5D113104B56E8486C64204A2A9ECD75BA0C41A7, + ], + ], + ), +] + + +class BLS12_377_Test(parameterized.TestCase): + + def __init__(self, *args, **kwargs): + super(BLS12_377_Test, self).__init__(*args, **kwargs) + + @parameterized.named_parameters(*BLS12_377_TEST_CASES) + def test_ExtendedTwistedEdwards_point_add(self, point_batch_1, point_batch_2): + ec_config = toml.load( + os.path.join(os.path.dirname(__file__), "configurations.toml") + ) + rns_moduli = utils.find_moduli_specified_number(32, 28) + finite_field_parameters = { + "prime": ec_config["ec_parameters_bls12_377_affine"]["prime"], + "rns_moduli": rns_moduli, + "precision_bits": 28, + "radix_bits": 32, + } + ete_cfg = ec_config["ec_parameters_bls12_377_extended_twisted_edwards"] + ec_parameters = { + "finite_field_context_class": ff_context.DRNSlazyContext, + "finite_field_parameters": finite_field_parameters, + "prime": ete_cfg["prime"], + "order": ete_cfg["order"], + "a": ete_cfg["a"], + "twist_d": ete_cfg["d"], + "alpha": ete_cfg["alpha"], + "b": ete_cfg["b"], + "s": ete_cfg["s"], + "MA": ete_cfg["MA"], + "MB": ete_cfg["MB"], + "t": ete_cfg["t"], + "generator": ete_cfg["generator"], + } + affine_cfg = ec_config["ec_parameters_bls12_377_affine"] + ref_ec_parameters = { + "finite_field_parameters": finite_field_parameters, + "finite_field_context_class": ff_context.DRNSlazyContext, + "prime": affine_cfg["prime"], + "order": affine_cfg["order"], + "a": affine_cfg["a"], + "b": affine_cfg["b"], + "generator": affine_cfg["generator"], + } + + ec_ctx = ec_context.ExtendedTwistedEdwardsContext(ec_parameters) + ref_ec_ctx = ec_context.CPUWeierstrassAffineContext(ref_ec_parameters) + + point_batch_1_m = ec_ctx.to_computational_format(point_batch_1) + point_batch_2_m = ec_ctx.to_computational_format(point_batch_2) + result_m = ec_ctx.point_add(point_batch_1_m, point_batch_2_m) + result = ec_ctx.to_original_format(result_m) + + ref_result = ref_ec_ctx._point_add(point_batch_1, point_batch_2) + + np.testing.assert_array_equal(result, ref_result) -class TestEllipticCurve(absltest.TestCase): - - def setUp(self): - super().setUp() - self.coordinate_num = 4 - self.batch_size = 1 - self.x1_int_ = 0x01AC3A384FC584EFD3E7F2C5A2927E7D454875C874A051027B9E7363D08942533EDE85DAE295D8CAB2751085206BCA76 - self.y1_int_ = 0x011DB83AEC88460820F4868A73B12309EE2E910526E62DB4ACCB303ABF50F86C3985A072ED07A4B81FFB82D8DD247283 - self.x2_int_ = 0x01546AF2ABB4E189E9BBC412FDBF2A8E5EC6E4A3B0AF132E21EE9CEC3EF5E226490FB98D662670FA3CFB3948B7E2A48C - self.y2_int_ = 0x002961A558A885DF227FDB09F8BDF57AF179CB9437FF8828F13E9DF01AE55502F409AAF5058B88F2F7CCC7BC0676A5D4 - self.point_a = [self.x1_int_, self.y1_int_] - self.point_b = [self.x2_int_, self.y2_int_] - self.zero_twisted = [0, 1, 1, 0] - self.ec_sys = ec.ECCSWeierstrassXYZZ(config_file.config_BLS12_377) - self.point_a_sys = self.ec_sys.generate_point(self.point_a) - self.point_b_sys = self.ec_sys.generate_point(self.point_b) - assert int(self.point_a_sys.coordinates[0].value) == self.point_a[0] - assert int(self.point_a_sys.coordinates[1].value) == self.point_a[1] - assert int(self.point_b_sys.coordinates[0].value) == self.point_b[0] - assert int(self.point_b_sys.coordinates[1].value) == self.point_b[1] - self.true_result_padd = self.point_a_sys + self.point_b_sys - self.true_result_padd_affine = self.true_result_padd.convert_to_affine() - self.true_result_pdub_a = self.point_a_sys + self.point_a_sys - self.true_result_pdub_a_affine = self.true_result_pdub_a.convert_to_affine() - self.true_result_pdub_b = self.point_b_sys + self.point_b_sys - self.true_result_pdub_b_affine = self.true_result_pdub_b.convert_to_affine() - - def test_padd_barrett_xyzz_pack(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))] - ) - jit_padd_barrett_xyzz_pack = jax.jit(jec.padd_barrett_xyzz_pack) - - result_jax = jit_padd_barrett_xyzz_pack(point_a_jax, point_b_jax) - result_jax = util.jax_point_pack_to_int_point_batch(result_jax) - - self.assertEqual(result_jax[0][0], self.true_result_padd[0].get_value()) - self.assertEqual(result_jax[0][1], self.true_result_padd[1].get_value()) - self.assertEqual(result_jax[0][2], self.true_result_padd[2].get_value()) - self.assertEqual(result_jax[0][3], self.true_result_padd[3].get_value()) - - # performance measurement - tasks = [ - (jit_padd_barrett_xyzz_pack, (point_a_jax, point_b_jax)), - ] - profile_name = "jit_padd_barrett_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_barrett_xyzz(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - jit_pdul_barrett_xyzz_pack = jax.jit(jec.pdul_barrett_xyzz_pack) - result_jax = jit_pdul_barrett_xyzz_pack(point_a_jax) - result_jax = util.jax_point_pack_to_int_point_batch(result_jax) - - self.assertEqual(result_jax[0][0], self.true_result_pdub_a[0].get_value()) - self.assertEqual(result_jax[0][1], self.true_result_pdub_a[1].get_value()) - self.assertEqual(result_jax[0][2], self.true_result_pdub_a[2].get_value()) - self.assertEqual(result_jax[0][3], self.true_result_pdub_a[3].get_value()) - - # performance measurement - tasks = [ - (jit_pdul_barrett_xyzz_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_barrett_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_jit_pdul_barrett_xyzz_pack_two_no_batch(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))] - ) - jit_pdul_barrett_xyzz_pack = jax.jit(jec.pdul_barrett_xyzz_pack) - result_a_jax = jit_pdul_barrett_xyzz_pack(point_a_jax) - result_a_int = util.jax_point_pack_to_int_point_batch(result_a_jax) - - result_b_jax = jit_pdul_barrett_xyzz_pack(point_b_jax) - result_b_int = util.jax_point_pack_to_int_point_batch(result_b_jax) - - self.assertEqual(result_a_int[0][0], self.true_result_pdub_a[0].get_value()) - self.assertEqual(result_a_int[0][1], self.true_result_pdub_a[1].get_value()) - self.assertEqual(result_a_int[0][2], self.true_result_pdub_a[2].get_value()) - self.assertEqual(result_a_int[0][3], self.true_result_pdub_a[3].get_value()) - self.assertEqual(result_b_int[0][0], self.true_result_pdub_b[0].get_value()) - self.assertEqual(result_b_int[0][1], self.true_result_pdub_b[1].get_value()) - self.assertEqual(result_b_int[0][2], self.true_result_pdub_b[2].get_value()) - self.assertEqual(result_b_int[0][3], self.true_result_pdub_b[3].get_value()) - - # performance measurement - tasks = [ - (jit_pdul_barrett_xyzz_pack, (point_a_jax,)), - (jit_pdul_barrett_xyzz_pack, (point_b_jax,)), - ] - profile_name = "jit_pdul_barrett_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_jit_pdul_barrett_xyzz_pack_two_batch(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))] - ) - batch_point = jnp.concatenate([point_a_jax, point_b_jax], axis=1) - jit_pdul_barrett_xyzz_pack = jax.jit(jec.pdul_barrett_xyzz_pack) - result_jax = jit_pdul_barrett_xyzz_pack(batch_point) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - - self.assertEqual(result_int[0][0], self.true_result_pdub_a[0].get_value()) - self.assertEqual(result_int[0][1], self.true_result_pdub_a[1].get_value()) - self.assertEqual(result_int[0][2], self.true_result_pdub_a[2].get_value()) - self.assertEqual(result_int[0][3], self.true_result_pdub_a[3].get_value()) - self.assertEqual(result_int[1][0], self.true_result_pdub_b[0].get_value()) - self.assertEqual(result_int[1][1], self.true_result_pdub_b[1].get_value()) - self.assertEqual(result_int[1][2], self.true_result_pdub_b[2].get_value()) - self.assertEqual(result_int[1][3], self.true_result_pdub_b[3].get_value()) - - # performance measurement - tasks = [ - (jit_pdul_barrett_xyzz_pack, (batch_point,)), - ] - profile_name = "jit_pdul_barrett_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_lazy_xyzz_pack(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))], - chunk_num=util.U16_EXT_CHUNK_NUM, - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))], - chunk_num=util.U16_EXT_CHUNK_NUM, - ) - # lazy_mat = util.construct_lazy_matrix(util.MODULUS_377_INT) - jit_padd_lazy_xyzz_pack = jax.jit(jec.padd_lazy_xyzz_pack) - result_jax = jit_padd_lazy_xyzz_pack(point_a_jax, point_b_jax) - result_jax = util.jax_point_pack_to_int_point_batch(result_jax) - - self.assertEqual( - result_jax[0][0] % util.MODULUS_377_INT, - self.true_result_padd[0].get_value(), - ) - self.assertEqual( - result_jax[0][1] % util.MODULUS_377_INT, - self.true_result_padd[1].get_value(), - ) - self.assertEqual( - result_jax[0][2] % util.MODULUS_377_INT, - self.true_result_padd[2].get_value(), - ) - self.assertEqual( - result_jax[0][3] % util.MODULUS_377_INT, - self.true_result_padd[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_lazy_xyzz_pack, (point_a_jax, point_b_jax)), - ] - profile_name = "jit_padd_lazy_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_lazy_xyzz_pack(self): - point_a_jax = util.int_point_batch_to_jax_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))], - chunk_num=util.U16_EXT_CHUNK_NUM, - ) - - # lazy_mat = util.construct_lazy_matrix(util.MODULUS_377_INT) - jit_pdul_lazy_xyzz_pack = jax.jit(jec.pdul_lazy_xyzz_pack) - result_jax = jit_pdul_lazy_xyzz_pack(point_a_jax) - result_jax = util.jax_point_pack_to_int_point_batch(result_jax) - - self.assertEqual( - result_jax[0][0] % util.MODULUS_377_INT, - self.true_result_pdub_a[0].get_value(), - ) - self.assertEqual( - result_jax[0][1] % util.MODULUS_377_INT, - self.true_result_pdub_a[1].get_value(), - ) - self.assertEqual( - result_jax[0][2] % util.MODULUS_377_INT, - self.true_result_pdub_a[2].get_value(), - ) - self.assertEqual( - result_jax[0][3] % util.MODULUS_377_INT, - self.true_result_pdub_a[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_lazy_xyzz_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_lazy_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_lazy_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [twist_b], chunk_num=util.U16_EXT_CHUNK_NUM - ) - - jit_padd_lazy_twisted_pack = jax.jit(jec.padd_lazy_twisted_pack) - result_jax = jit_padd_lazy_twisted_pack(point_a_jax, point_b_jax) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - - result_affine_point = twisted_ec_sys.generate_point( - result_int[0], twist=False - ).convert_to_affine() - - self.assertEqual( - result_affine_point[0].get_value(), - self.true_result_padd_affine[0].get_value(), - ) - self.assertEqual( - result_affine_point[1].get_value(), - self.true_result_padd_affine[1].get_value(), - ) - - def test_padd_lazy_twisted_pack_batch(self): - for batch_size in [1, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096]: - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [twist_b], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_a_jax = jnp.broadcast_to( - point_a_jax, (point_a_jax.shape[0], batch_size, point_a_jax.shape[-1]) - ) - point_b_jax = jnp.broadcast_to( - point_b_jax, (point_b_jax.shape[0], batch_size, point_b_jax.shape[-1]) - ) - - jit_padd_lazy_twisted_pack_batch = jax.jit( - jax.named_call( - functools.partial(jec.padd_lazy_twisted_pack), - name=f"jit_padd_lazy_twisted_pack_batch_{batch_size}", - ), - ) - result_jax = jit_padd_lazy_twisted_pack_batch(point_a_jax, point_b_jax) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - result_affine_point = twisted_ec_sys.generate_point( - result_int[0], twist=False - ).convert_to_affine() - - self.assertEqual( - result_affine_point.coordinates[0].value % util.MODULUS_377_INT, - self.true_result_padd_affine[0].get_value(), - ) - self.assertEqual( - result_affine_point.coordinates[1].value % util.MODULUS_377_INT, - self.true_result_padd_affine[1].get_value(), - ) - self.assertEqual( - result_affine_point.coordinates[2].value % util.MODULUS_377_INT, - self.true_result_padd_affine[2].get_value(), - ) - self.assertEqual( - result_affine_point.coordinates[3].value % util.MODULUS_377_INT, - self.true_result_padd_affine[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_lazy_twisted_pack_batch, (point_a_jax, point_b_jax)), - ] - profile_name = f"jit_padd_lazy_twisted_pack_batch_{batch_size}" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_same_lazy_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a1 = twisted_ec_sys.twist_int_coordinates(self.point_a) - twist_a2 = twisted_ec_sys.twist_int_coordinates(self.point_a) - - point_a1_jax = util.int_point_batch_to_jax_point_pack( - [twist_a1], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_a2_jax = util.int_point_batch_to_jax_point_pack( - [twist_a2], chunk_num=util.U16_EXT_CHUNK_NUM - ) - - jit_padd_lazy_twisted_pack = jax.jit(jec.padd_lazy_twisted_pack) - result_jax = jit_padd_lazy_twisted_pack(point_a1_jax, point_a2_jax) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - - result_affine_point = twisted_ec_sys.generate_point( - result_int[0], twist=False - ).convert_to_affine() - - self.assertEqual( - result_affine_point[0].get_value(), - self.true_result_pdub_a_affine[0].get_value(), - ) - self.assertEqual( - result_affine_point[1].get_value(), - self.true_result_pdub_a_affine[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_lazy_twisted_pack, (point_a1_jax, point_a2_jax)), - ] - profile_name = "jit_padd_lazy_twisted_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_lazy_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - - jit_pdul_lazy_twisted_pack = jax.jit(jec.pdul_lazy_twisted_pack) - result_jax = jit_pdul_lazy_twisted_pack(point_a_jax) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - - result_affine_point = twisted_ec_sys.generate_point( - result_int[0], twist=False - ).convert_to_affine() - self.assertEqual( - result_affine_point[0].get_value(), - self.true_result_pdub_a_affine[0].get_value(), - ) - self.assertEqual( - result_affine_point[1].get_value(), - self.true_result_pdub_a_affine[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_lazy_twisted_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_lazy_twisted_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_jit_pneg_lazy_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [twist_b], chunk_num=util.U16_EXT_CHUNK_NUM - ) - - jit_padd_lazy_twisted_pack = jax.jit(jec.padd_lazy_twisted_pack) - jit_pneg_lazy_twisted_pack = jax.jit(jec.pneg_lazy_twisted_pack) - a_plus_b = jit_padd_lazy_twisted_pack(point_a_jax, point_b_jax) - neg_b = jit_pneg_lazy_twisted_pack(point_b_jax) - result_jax = jit_padd_lazy_twisted_pack(a_plus_b, neg_b) - result_int = util.jax_point_pack_to_int_point_batch(result_jax) - - result_affine_point = twisted_ec_sys.generate_point( - result_int[0], twist=False - ).convert_to_affine() - self.assertEqual( - result_affine_point[0].get_value(), self.point_a_sys[0].get_value() - ) - self.assertEqual( - result_affine_point[1].get_value(), self.point_a_sys[1].get_value() - ) - - # performance measurement - tasks = [ - (jit_pneg_lazy_twisted_pack, (point_b_jax,)), - ] - profile_name = "jit_pneg_lazy_twisted_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_rns_xyzz(self): - point_a_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - point_b_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))] - ) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - - jit_padd_rns_xyzz_pack = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_xyzz_pack, rns_mat=rns_mat), - name="jit_padd_rns_xyzz_pack", - ), - ) - result_jax = jit_padd_rns_xyzz_pack(point_a_jax, point_b_jax) - result_jax = util.jax_rns_point_pack_to_int_point_batch(result_jax) - - self.assertEqual( - result_jax[0][0] % util.MODULUS_377_INT, - self.true_result_padd[0].get_value(), - ) - self.assertEqual( - result_jax[0][1] % util.MODULUS_377_INT, - self.true_result_padd[1].get_value(), - ) - self.assertEqual( - result_jax[0][2] % util.MODULUS_377_INT, - self.true_result_padd[2].get_value(), - ) - self.assertEqual( - result_jax[0][3] % util.MODULUS_377_INT, - self.true_result_padd[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_rns_xyzz_pack, (point_a_jax, point_b_jax)), - ] - profile_name = "jit_padd_rns_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_rns_xyzz_batch(self): - for batch_size in [1, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096]: - point_a_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - point_b_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.point_b + [1] * (self.coordinate_num - len(self.point_b))] - ) - point_a_jax = jnp.broadcast_to( - point_a_jax, (point_a_jax.shape[0], batch_size, point_a_jax.shape[-1]) - ) - point_b_jax = jnp.broadcast_to( - point_b_jax, (point_b_jax.shape[0], batch_size, point_b_jax.shape[-1]) - ) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - - jit_padd_rns_xyzz_pack_batch = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_xyzz_pack, rns_mat=rns_mat), - name="jit_padd_rns_xyzz_pack_batch", - ), - ) - result_jax = jit_padd_rns_xyzz_pack_batch(point_a_jax, point_b_jax) - result_jax = util.jax_rns_point_pack_to_int_point_batch(result_jax) - - self.assertEqual( - result_jax[0][0] % util.MODULUS_377_INT, - self.true_result_padd[0].get_value(), - ) - self.assertEqual( - result_jax[0][1] % util.MODULUS_377_INT, - self.true_result_padd[1].get_value(), - ) - self.assertEqual( - result_jax[0][2] % util.MODULUS_377_INT, - self.true_result_padd[2].get_value(), - ) - self.assertEqual( - result_jax[0][3] % util.MODULUS_377_INT, - self.true_result_padd[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_rns_xyzz_pack_batch, (point_a_jax, point_b_jax)), - ] - profile_name = f"jit_padd_rns_xyzz_pack_batch_{batch_size}" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_rns_xyzz_pack(self): - point_a_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.point_a + [1] * (self.coordinate_num - len(self.point_a))] - ) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - - jit_pdul_rns_xyzz_pack = jax.jit( - jax.named_call( - functools.partial(jec.pdul_rns_xyzz_pack, rns_mat=rns_mat), - name="jit_pdul_rns_xyzz_pack", - ), - ) - result_jax = jit_pdul_rns_xyzz_pack(point_a_jax) - result_jax = util.jax_rns_point_pack_to_int_point_batch(result_jax) - - self.assertEqual( - result_jax[0][0] % util.MODULUS_377_INT, - self.true_result_pdub_a[0].get_value(), - ) - self.assertEqual( - result_jax[0][1] % util.MODULUS_377_INT, - self.true_result_pdub_a[1].get_value(), - ) - self.assertEqual( - result_jax[0][2] % util.MODULUS_377_INT, - self.true_result_pdub_a[2].get_value(), - ) - self.assertEqual( - result_jax[0][3] % util.MODULUS_377_INT, - self.true_result_pdub_a[3].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_rns_xyzz_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_rns_xyzz_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_rns_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - a = self.point_a_sys.coordinates[:2] - b = self.point_b_sys.coordinates[:2] - project_twist_a = twisted_ec_sys.generate_point(a, twist=True) - project_twist_b = twisted_ec_sys.generate_point(b, twist=True) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - point_a_jax = util.int_point_batch_to_jax_rns_point_pack( - [[c.get_value() for c in project_twist_a]] - ) - point_b_jax = util.int_point_batch_to_jax_rns_point_pack( - [[c.get_value() for c in project_twist_b]] - ) - jit_padd_rns_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_twisted_pack, rns_mat=rns_mat), - name="jit_padd_rns_twisted_pack", - ), - ) - point_c_jax = jit_padd_rns_twisted_pack(point_a_jax, point_b_jax) - project_twist_sum = util.jax_rns_point_pack_to_int_point_batch(point_c_jax)[ - 0 - ] - project_twist_sum_point = twisted_ec_sys.generate_point( - project_twist_sum, twist=False - ).convert_to_affine() - s = project_twist_sum_point.coordinates[:2] - correct_s = self.true_result_padd_affine.coordinates[:2] - self.assertEqual( - s[0].get_value() % util.MODULUS_377_INT, correct_s[0].get_value() - ) - self.assertEqual( - s[1].get_value() % util.MODULUS_377_INT, correct_s[1].get_value() - ) - - # performance measurement - tasks = [ - (jit_padd_rns_twisted_pack, (point_a_jax, point_b_jax)), - ] - profile_name = "jit_padd_rns_twisted_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_rns_twisted_pack(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - pg = twisted_ec_sys.generate_point(self.point_a, twist=False) - g_correct_ff = pg << 1 - gcf_af = g_correct_ff.convert_to_affine() - point_g_jax = util.int_point_batch_to_jax_rns_point_pack( - [[c.get_value() for c in pg]] - ) - jit_pdul_rns_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.pdul_rns_twisted_pack, rns_mat=rns_mat), - name="jit_pdul_rns_twisted_pack", - ), - ) - point_2g_jax = jit_pdul_rns_twisted_pack(point_g_jax) - g_test = util.jax_rns_point_pack_to_int_point_batch(point_2g_jax)[0] - gtf_af = twisted_ec_sys.generate_point( - g_test, twist=False - ).convert_to_affine() - self.assertEqual( - gtf_af.coordinates[0].get_value() % util.MODULUS_377_INT, - gcf_af.coordinates[0].get_value(), - ) - self.assertEqual( - gtf_af.coordinates[1].get_value() % util.MODULUS_377_INT, - gcf_af.coordinates[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_rns_twisted_pack, (point_g_jax,)), - ] - profile_name = "jit_pdul_rns_twisted_pack" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_rns_twisted_pack_new_twisted(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - - point_a_jax = util.int_point_to_jax_rns_point_pack(twist_a) - point_b_jax = util.int_point_to_jax_rns_point_pack(twist_b) - - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - jit_padd_rns_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_twisted_pack, rns_mat=rns_mat), - name="jit_padd_rns_twisted_pack", - ), - ) - point_c_jax = jit_padd_rns_twisted_pack(point_a_jax, point_b_jax) - project_twist_sum = util.jax_rns_point_pack_to_int_point_batch(point_c_jax)[ - 0 - ] - project_twist_sum_point = twisted_ec_sys.generate_point( - project_twist_sum, twist=False - ).convert_to_affine() - s = project_twist_sum_point.coordinates[:2] - correct_s = self.true_result_padd_affine.coordinates[:2] - self.assertEqual( - s[0].get_value() % util.MODULUS_377_INT, correct_s[0].get_value() - ) - self.assertEqual( - s[1].get_value() % util.MODULUS_377_INT, correct_s[1].get_value() - ) - - # performance measurement - tasks = [ - (jit_padd_rns_twisted_pack, (point_a_jax, point_b_jax)), - ] - profile_name = "jit_padd_rns_twisted_pack_new_twist" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_rns_twisted_pack_new_twisted(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - point_a_jax = util.int_point_to_jax_rns_point_pack(twist_a) - jit_pdul_rns_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.pdul_rns_twisted_pack, rns_mat=rns_mat), - name="jit_pdul_rns_twisted_pack", - ), - ) - point_2a_jax = jit_pdul_rns_twisted_pack(point_a_jax) - g_test = util.jax_rns_point_pack_to_int_point_batch(point_2a_jax)[0] - gtf_af = twisted_ec_sys.generate_point( - g_test, twist=False - ).convert_to_affine() - self.assertEqual( - gtf_af.coordinates[0].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[0].get_value(), - ) - self.assertEqual( - gtf_af.coordinates[1].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_rns_twisted_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_rns_twisted_pack_new_twist" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_rns_twisted_pack_new_twist_two_batch(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - point_a_jax = util.int_point_to_jax_rns_point_pack(twist_a).reshape( - util.COORDINATE_NUM, 1, util.NUM_MODULI - ) - - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - point_b_jax = util.int_point_to_jax_rns_point_pack(twist_b).reshape( - util.COORDINATE_NUM, 1, util.NUM_MODULI - ) - - batch_point = jnp.concatenate([point_a_jax, point_b_jax], axis=1) - - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - jit_padd_rns_twisted_pack_two_batch = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_twisted_pack, rns_mat=rns_mat), - name="jit_padd_rns_twisted_pack_two_batch", - ), - ) - result_batch = jit_padd_rns_twisted_pack_two_batch(batch_point, batch_point) - project_twist_sum = util.jax_rns_point_pack_to_int_point_batch(result_batch) - point_2a_jax = twisted_ec_sys.generate_point( - project_twist_sum[0], twist=False - ).convert_to_affine() - point_2b_jax = twisted_ec_sys.generate_point( - project_twist_sum[1], twist=False - ).convert_to_affine() - self.assertEqual( - point_2a_jax[0].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[0].get_value(), - ) - self.assertEqual( - point_2a_jax[1].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[1].get_value(), - ) - self.assertEqual( - point_2b_jax[0].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_b_affine[0].get_value(), - ) - self.assertEqual( - point_2b_jax[1].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_b_affine[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_padd_rns_twisted_pack_two_batch, (batch_point, batch_point)), - ] - profile_name = "jit_padd_rns_twisted_pack_two_batch" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_pdul_rns_twisted_pack_new_twist_two_batch(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - point_a_jax = util.int_point_to_jax_rns_point_pack(twist_a).reshape( - util.COORDINATE_NUM, 1, util.NUM_MODULI - ) - - twist_b = twisted_ec_sys.twist_int_coordinates(self.point_b) - point_b_jax = util.int_point_to_jax_rns_point_pack(twist_b).reshape( - util.COORDINATE_NUM, 1, util.NUM_MODULI - ) - - batch_point = jnp.concatenate([point_a_jax, point_b_jax], axis=1) - - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - jit_pdul_rns_twisted_pack_two_batch = jax.jit( - jax.named_call( - functools.partial(jec.pdul_rns_twisted_pack, rns_mat=rns_mat), - name="jit_pdul_rns_twisted_pack_two_batch", - ), - ) - result_batch = jit_pdul_rns_twisted_pack_two_batch(batch_point) - project_twist_sum = util.jax_rns_point_pack_to_int_point_batch(result_batch) - point_2a_jax = twisted_ec_sys.generate_point( - project_twist_sum[0], twist=False - ).convert_to_affine() - point_2b_jax = twisted_ec_sys.generate_point( - project_twist_sum[1], twist=False - ).convert_to_affine() - self.assertEqual( - point_2a_jax[0].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[0].get_value(), - ) - self.assertEqual( - point_2a_jax[1].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_a_affine[1].get_value(), - ) - self.assertEqual( - point_2b_jax[0].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_b_affine[0].get_value(), - ) - self.assertEqual( - point_2b_jax[1].get_value() % util.MODULUS_377_INT, - self.true_result_pdub_b_affine[1].get_value(), - ) - - # performance measurement - tasks = [ - (jit_pdul_rns_twisted_pack_two_batch, (batch_point,)), - ] - profile_name = "jit_pdul_rns_twisted_pack_two_batch" - # copybara: util.profile_jax_functions(tasks, profile_name) - - def test_padd_zero_twisted_pack_new_twisted(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_zero_jax = util.int_point_batch_to_jax_point_pack( - [self.zero_twisted], chunk_num=util.U16_EXT_CHUNK_NUM - ) - - jit_padd_lazy_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.padd_lazy_twisted_pack), - name="jit_padd_lazy_twisted_pack", - ), - ) - point_c_jax = jit_padd_lazy_twisted_pack(point_a_jax, point_zero_jax) - # point_c_jax = jec.padd_lazy_twisted_pack(point_a_jax, point_zero_jax) - project_twist_sum = util.jax_point_pack_to_int_point_batch(point_c_jax)[0] - project_twist_sum_point = twisted_ec_sys.generate_point( - project_twist_sum, twist=False - ).convert_to_affine() - self.assertEqual( - project_twist_sum_point[0].get_value() % util.MODULUS_377_INT, - self.point_a[0], - ) - self.assertEqual( - project_twist_sum_point[1].get_value() % util.MODULUS_377_INT, - self.point_a[1], - ) - - @absltest.skip("This is the known issue, which does not affect XYZZ.") - def test_padd_zero_rns_twisted_pack_new_twisted(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - twist_a = twisted_ec_sys.twist_int_coordinates(self.point_a) - - point_a_jax = util.int_point_batch_to_jax_rns_point_pack([twist_a]) - point_zero_jax = util.int_point_batch_to_jax_rns_point_pack( - [self.zero_twisted] - ) - - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - jit_padd_rns_twisted_pack = jax.jit( - jax.named_call( - functools.partial(jec.padd_rns_twisted_pack, rns_mat=rns_mat), - name="jit_padd_rns_twisted_pack", - ), - ) - point_c_jax = jit_padd_rns_twisted_pack(point_a_jax, point_zero_jax) - project_twist_sum = util.jax_rns_point_pack_to_int_point_batch(point_c_jax)[ - 0 - ] - project_twist_sum_point = twisted_ec_sys.generate_point( - project_twist_sum, twist=False - ).convert_to_affine() - self.assertEqual( - project_twist_sum_point[0].get_value() % util.MODULUS_377_INT, - self.point_a[0], - ) - self.assertEqual( - project_twist_sum_point[1].get_value() % util.MODULUS_377_INT, - self.point_a[1], - ) - - @absltest.skip("This is the known issue, which does not affect XYZZ.") - def test_padd_rns_a_point_add_zero_correctness(self): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended( - config_file.config_BLS12_377_t - ) - test_in_point = [ - 184360877740379501345167057231241011318955851506892921023614488028185166370541128591905842464011651119609504970811, - 47698235458971847835762299820400550031713475079888046003406323907410999702258242394959839249289205517205485978635, - ] - twist_a = twisted_ec_sys.twist_int_coordinates(test_in_point) - twist_b = [0, 1, 1, 0] - point_a_jax = util.int_point_batch_to_jax_point_pack( - [twist_a], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_b_jax = util.int_point_batch_to_jax_point_pack( - [twist_b], chunk_num=util.U16_EXT_CHUNK_NUM - ) - point_a_jax_rns = util.int_point_batch_to_jax_rns_point_pack([twist_a]) - point_b_jax_rns = util.int_point_batch_to_jax_rns_point_pack([twist_b]) - - point_c_jax_rns = jec.padd_rns_twisted_pack( - point_a_jax_rns, point_b_jax_rns - ) - project_twist_sum_rns = util.jax_rns_point_pack_to_int_point_batch( - point_c_jax_rns - )[0] - affine_sum_point_rns = twisted_ec_sys.generate_point( - project_twist_sum_rns, twist=False - ).convert_to_affine() - point_c_jax = jec.padd_lazy_twisted_pack(point_a_jax, point_b_jax) - project_twist_sum = util.jax_point_pack_to_int_point_batch(point_c_jax)[0] - affine_sum_point = twisted_ec_sys.generate_point( - project_twist_sum, twist=False - ).convert_to_affine() - # In Twisted Edward Representation Verification - self.assertEqual( - project_twist_sum[0] % util.MODULUS_377_INT, - project_twist_sum_rns[0] % util.MODULUS_377_INT, - ) - self.assertEqual( - project_twist_sum[1] % util.MODULUS_377_INT, - project_twist_sum_rns[1] % util.MODULUS_377_INT, - ) - self.assertEqual( - project_twist_sum[0] % util.MODULUS_377_INT, - project_twist_sum_rns[0] % util.MODULUS_377_INT, - ) - self.assertEqual( - project_twist_sum[1] % util.MODULUS_377_INT, - project_twist_sum_rns[1] % util.MODULUS_377_INT, - ) - - # Verification in affine - self.assertEqual( - affine_sum_point[0].get_value() % util.MODULUS_377_INT, - affine_sum_point_rns[0].get_value() % util.MODULUS_377_INT, - ) - self.assertEqual( - affine_sum_point[1].get_value() % util.MODULUS_377_INT, - affine_sum_point_rns[1].get_value() % util.MODULUS_377_INT, - ) - if __name__ == "__main__": absltest.main() diff --git a/jaxite_ec/finite_field.py b/jaxite_ec/finite_field.py deleted file mode 100644 index 863cd21..0000000 --- a/jaxite_ec/finite_field.py +++ /dev/null @@ -1,976 +0,0 @@ -"""library of finite field operations. - -This library is used to implement the finite field operations for the -high-precision -elliptic curve. - -- Data Representation. -The high-precision elliptic curve coordinate is represented as a vector of -uint16 24-bit integer. -The actual base is increased with the index. -E.g. - index [ 0, 1, 2, ...] -bit precision [0~7, 8~15, 16~23, ...] - -It includes Barrett based modular multiplication, *barrett_reduction_u16x2* - - -# Function Name Terminology -## _ indicates that the function only works for a single -## precision. -## indicates that the function works for general bit precision. - -# Terminology -## Chunk Reduction: e.g. u8-chunk -> u16-chunk or u32-chunk -## Chunk Decomposition <-> Chunk Merge: -### Chunk Decomposition: break int into multiple low-precision chunks. -### Chunk Merge: Merge multiple low-precision chunks into an int. -""" - -import functools - -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import util -import numpy as np - - -total_modulus = util.total_modulus -to_rns = util.to_rns - - -jax.config.update("jax_enable_x64", True) - - -@jax.named_call -@functools.partial( - jax.jit, static_argnames=("iter_num", "mask", "chunk_shift_bits") -) -def carry_add( - value_c: jax.Array, - iter_num=util.U16_CHUNK_NUM, - mask=util.U16_MASK, - chunk_shift_bits=util.U16_CHUNK_SHIFT_BITS, -): - """The purpose of this API is to enable general-purposed carry add, where the following knobs are known before runtime. - - iter_num = math.ceil(total_input_bitwidth / chunk_bitwidth), - mask = 2**chunk_bitwidth - 1, - chunk_shift_bits = chunk_bitwidth - - Args: - value_c: The value to carry add. - iter_num: The number of iterations to perform. - mask: The mask to apply to the value. - chunk_shift_bits: The number of bits to shift the value. - - Returns: - value_c: The value after carry adding. - """ - for _ in range(iter_num): - low = jnp.bitwise_and(value_c, mask) - high = jnp.right_shift(value_c, chunk_shift_bits) - high = jnp.roll(high, 1) - value_c = jnp.add(low, high) - return value_c - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="chunk_shift_bits") -def check_any_chunk_with_carry( - value_c: jax.Array, - chunk_shift_bits=util.U16_CHUNK_SHIFT_BITS, -) -> jax.Array: - """This function check whether any chunk of input vector 'value_c' has carry. - - Args: - value_c: The value to carry add. - chunk_shift_bits: ideal bit precision of any given chunk. Note that: actual - bit precision of any given chunk might be higher than chunk_shift_bits - because it needs to hold the overflow. - - Returns: - cond: A boolean value indicating whether any chunk of input vector 'value_c' - has carry. - """ - high = jnp.right_shift(value_c, chunk_shift_bits) - cond = jnp.any(jnp.not_equal(high, 0)) - return cond - - -@jax.named_call -@functools.partial(jax.jit, static_argnames=("mask", "chunk_shift_bits")) -def carry_propagation( - value_c: jax.Array, - mask=util.U16_MASK, - chunk_shift_bits=util.U16_CHUNK_SHIFT_BITS, -): - """The purpose of this API is to enable carry propagation. - - Args: - value_c: The value to carry propagate. - mask: 2**chunk_bitwidth - 1, - chunk_shift_bits: chunk_bitwidth - - This function split each chunk into high and low parts, and high part is left - roll by 1 to carry the overflowed bits to the next chunk. - Note that: in a given jax.array, bit range of the chunk within the original - high precision value is increased from left to the right. - - Returns: - value_c: The value after carry adding. - """ - precision_dim = value_c.shape[-1] - roll_mat = jnp.array( - [0, 1] - + ([0] * (precision_dim) + [1]) * (precision_dim - 2) - + [1] - + [0] * (precision_dim - 1), - dtype=jnp.uint16, - ).reshape(precision_dim, precision_dim) - low = jnp.bitwise_and(value_c, mask) - high = jnp.right_shift(value_c, chunk_shift_bits).astype(jnp.uint16) - high = jnp.matmul(high, roll_mat, preferred_element_type=jnp.uint32).astype( - jnp.uint16 - ) - value_c = jnp.add(low, high) - return value_c - - -def conv_1d_2u16xn(value_a: jax.Array, value_b: jax.Array): - """This function performs a 1D convolution of two u16 arrays. - - Args: - value_a: The chunk-decomposition representation of the high-precision int. - value_b: The chunk-decomposition representation of the high-precision int. - - Returns: - conv: The convolution results of two input arrays being casted to uint8. - """ - value_a = jax.lax.bitcast_convert_type(value_a, jnp.uint8).reshape(-1) - value_b = jax.lax.bitcast_convert_type(value_b, jnp.uint8).reshape(-1) - conv = jnp.convolve( - value_a, - value_b, - preferred_element_type=jnp.uint32, - ) - return conv - - -@jax.named_call -@functools.partial(jax.jit, static_argnames=("chunk_num_u16", "chunk_num_u32")) -def rechunkify(mul_result: jax.Array, chunk_num_u16, chunk_num_u32): - """Given the carry add takes O(C) algorithm complexity, where C is the number of chunks. - - This function performs chunk reduction for ther results of the convolution, - i.e. merge two consecutive chunks into one chunk with double precision. - E.g. u8[0, 8, 8, 0] -> u16[8, 2048] 0-> u32[526336] - - Args: - mul_result: The chunk-wise multiplication (using convolution) result. - chunk_num_u16: The number of bits in each chunk. - chunk_num_u32: The number of bits in the second chunk. - - Returns: - value_c: The result of the chunk reduction. - """ - shift_0_8_u16x4 = jnp.array( - [[0, 8] for _ in range(chunk_num_u16 * 4)], dtype=jnp.uint8 - ) - shift_0_16_u32x4 = jnp.array( - [[0, 16] for _ in range(chunk_num_u32 * 4)], dtype=jnp.uint8 - ) - new_shape = ( - mul_result.shape[:-1] + (-1, 2) if mul_result.ndim == 2 else (-1, 2) - ) - value_c = mul_result.reshape(new_shape) - value_c = jnp.left_shift(value_c, shift_0_8_u16x4[:chunk_num_u16]) - value_c = jnp.sum(value_c, axis=-1) - value_c = value_c.reshape(new_shape).astype(jnp.uint64) - value_c = jnp.left_shift(value_c, shift_0_16_u32x4[:chunk_num_u32]) - value_c = jnp.sum(value_c, axis=-1) - return value_c - - -@jax.named_call -@functools.partial(jax.jit, static_argnames="chunk_num_u16") -def compare_u16( - value_a: jax.Array, value_b: jax.Array, chunk_num_u16=util.U16_CHUNK_NUM -): - """Compare two u16 values. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - chunk_num_u16: The number of chunks in the u16 value. - - Returns: - cond > 0 -> value_a > value_b - cond = 0 -> value_a = value_b - cond < 0 -> value_a < value_b - """ - sign = jnp.sign( - jnp.subtract(value_a.astype(jnp.int32), value_b.astype(jnp.int32)) - ) - comp_check_vec_weights = jnp.array( - [2**i for i in range(chunk_num_u16)], dtype=jnp.int32 - ) - weight = jnp.multiply(sign, comp_check_vec_weights) - cond = weight.sum(axis=-1) - return cond - - -def add_2u16(value_a: jax.Array, value_b: jax.Array): - """Add two u16 values. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - - Returns: - value_c: The result of the addition. - """ - value_c = jax.numpy.add( - value_a.astype(jnp.uint32), value_b.astype(jnp.uint32) - ) - value_c = jax.lax.while_loop( - check_any_chunk_with_carry, carry_propagation, value_c - ) - - return value_c.astype(jnp.uint16) - - -def add_3u16(value_a: jax.Array, value_b: jax.Array, value_d: jax.Array): - value_c = jax.numpy.add( - value_a.astype(jnp.uint32), value_b.astype(jnp.uint32) - ) - value_c = jax.numpy.add( - value_c.astype(jnp.uint32), value_d.astype(jnp.uint32) - ) - value_c = jax.lax.while_loop( - check_any_chunk_with_carry, carry_propagation, value_c - ) - - return value_c.astype(jnp.uint16) - - -@jax.named_call -@functools.partial(jax.jit, static_argnames=("mask", "chunk_num_u16")) -def sub_2u16( - value_a: jax.Array, - value_b: jax.Array, - mask=util.U16_MASK, - chunk_num_u16=util.U16_CHUNK_NUM, -): - """Subtract two u16 values. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - mask: The mask to apply to the value. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - - Returns: - value_c: The result of the subtraction. - """ - borrow_high_u16_pad_zero_array = jnp.array( - [0] + [1] * (chunk_num_u16 - 2) + [0], dtype=jnp.uint32 - ) - borrow_low_u16_array = jnp.array( - [mask + 1] * (chunk_num_u16 - 1) + [0], dtype=jnp.uint32 - ) - value_a = jnp.add(value_a.astype(jnp.uint32), borrow_low_u16_array) - value_c = jnp.subtract(value_a, value_b) - value_c = jnp.subtract(value_c, borrow_high_u16_pad_zero_array) - - value_c = jax.lax.while_loop( - check_any_chunk_with_carry, carry_propagation, value_c - ) - if value_c.ndim == 1: - value_c = value_c.at[chunk_num_u16 - 1].set(value_c[chunk_num_u16 - 1] - 1) - else: - value_c = value_c.at[:, chunk_num_u16 - 1].set( - value_c[:, chunk_num_u16 - 1] - 1 - ) - - value_c = value_c.astype(jnp.uint16) - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, static_argnames=("modulus_377_int_chunk", "chunk_num_u16") -) -def cond_sub_mod_u16( - value_a: jax.Array, - modulus_377_int_chunk=util.MODULUS_377_INT_CHUNK, - chunk_num_u16=util.U16_CHUNK_NUM, -): - """Perform conditional subtraction: value_a - modulus_377_int. - - Args: - value_a: The minuend. - modulus_377_int_chunk: The modulus 377. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - - Returns: - value_c: The result of the conditional subtraction. - """ - compare_u16_local = functools.partial( - compare_u16, chunk_num_u16=chunk_num_u16 - ) - sub_2u16_local = functools.partial(sub_2u16, chunk_num_u16=chunk_num_u16) - modulus_377_int_array = jnp.asarray(modulus_377_int_chunk, jnp.uint16) - - cond = compare_u16_local(value_a, modulus_377_int_array) - value_b = sub_2u16_local(value_a, modulus_377_int_array) - cond = jnp.greater_equal(cond, 0).reshape((cond.shape[0], 1)) - value_c = jnp.where(cond, value_b, value_a) - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, static_argnames=("modulus_377_int_chunk", "chunk_num_u16") -) -def cond_sub_2u16( - value_a: jax.Array, - value_b: jax.Array, - modulus_377_int_chunk=util.MODULUS_377_INT_CHUNK, - chunk_num_u16=util.U16_CHUNK_NUM, -): - """Perform conditional subtraction: value_a - value_b. - - Args: - value_a: The minuend. - value_b: The subtrahend. - modulus_377_int_chunk: The modulus 377. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - - Returns: - value_c: The result of the conditional subtraction. - """ - modulus_377_int_array = jnp.asarray(modulus_377_int_chunk, jnp.uint16) - compare_u16_local = functools.partial( - compare_u16, chunk_num_u16=chunk_num_u16 - ) - sub_2u16_local = functools.partial(sub_2u16, chunk_num_u16=chunk_num_u16) - - cond = compare_u16_local(value_a, value_b) - cond = jnp.greater_equal(cond, 0).reshape((cond.shape[0], 1)) - - value_ap = jnp.add( - value_a.astype(jnp.uint32), modulus_377_int_array.astype(jnp.uint32) - ) - - value_a = jnp.where(cond, value_a.astype(jnp.uint32), value_ap) - value_c = sub_2u16_local(value_a, value_b) - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=( - "mask", - "chunk_num_u16", - "chunk_shift_bits", - "output_dtype", - "vmap_axes", - ), -) -def mul_2u16( - value_a: jax.Array, - value_b: jax.Array, - mask=util.U32_MASK, - chunk_num_u16=util.U16_CHUNK_NUM, - chunk_shift_bits=util.U32_CHUNK_SHIFT_BITS, - output_dtype=jnp.uint16, - vmap_axes=(0, 0), -): - """Multiply two u16 values. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - mask: The mask to apply to the value. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - chunk_shift_bits: The number of bits to shift the value. - output_dtype: The desired output data type. - vmap_axes: The axes to use for vmap. - - Returns: - - cond > 0 -> value_a > value_b - cond = 0 -> value_a = value_b - cond < 0 -> value_a < value_b - """ - batch_dim = value_a.shape[0] - mul_result = jax.vmap(conv_1d_2u16xn, in_axes=vmap_axes)(value_a, value_b) - mul_result = jnp.pad(mul_result, ((0, 0), (0, 1))) - value_c = rechunkify(mul_result, 2 * chunk_num_u16, chunk_num_u16) - - value_c = jax.lax.while_loop( - functools.partial( - check_any_chunk_with_carry, chunk_shift_bits=chunk_shift_bits - ), - functools.partial( - carry_propagation, - mask=mask, - chunk_shift_bits=chunk_shift_bits, - ), - value_c, - ) - ratio = 4 if output_dtype == jnp.uint8 else 2 - value_c = jax.lax.bitcast_convert_type( - value_c.astype(jnp.uint32), output_dtype - ).reshape(batch_dim, -1)[:, : ratio * chunk_num_u16] - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=( - "barrett_shift_u8", - "chunk_num_u16", - "chunk_num_u32", - "vmap_axes", - ), -) -def mul_shift_2u16x2x1( - value_a: jax.Array, - value_b: jax.Array, - mask=util.U32_MASK, - barrett_shift_u8=util.BARRETT_SHIFT_U8, - chunk_num_u16=util.U16_CHUNK_NUM, - chunk_num_u32=util.U32_CHUNK_NUM, - chunk_shift_bits=util.U32_CHUNK_SHIFT_BITS, - vmap_axes=(0, None), -): - """Multiply and shift two u16 values. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - mask: The mask to apply to the value. - barrett_shift_u8: The number of bits to shift the value. - chunk_num_u16: The number of chunks in the u16 value. - chunk_num_u32: The number of chunks in the u32 value. - chunk_shift_bits: The number of bits to shift the value. - vmap_axes: (0, None) means axis 0 is the mapped access, and The rest is not. - - Returns: - - cond > 0 -> value_a > value_b - cond = 0 -> value_a = value_b - cond < 0 -> value_a < value_b - """ - batch_dim = value_a.shape[0] - conv = jax.vmap(conv_1d_2u16xn, in_axes=vmap_axes)(value_a, value_b) - conv = jnp.pad(conv, ((0, 0), (0, 1))) - value_c = rechunkify(conv, chunk_num_u16 * 3, chunk_num_u32 * 3) - value_c = jax.lax.while_loop( - functools.partial( - check_any_chunk_with_carry, chunk_shift_bits=chunk_shift_bits - ), - functools.partial( - carry_propagation, mask=mask, chunk_shift_bits=chunk_shift_bits - ), - value_c, - ) - - value_c = jax.lax.bitcast_convert_type( - value_c.astype(jnp.uint32), jnp.uint8 - ).reshape(batch_dim, -1)[:, barrett_shift_u8:] - value_c = jax.lax.bitcast_convert_type( - jnp.pad(value_c, ((0, 0), (0, 1))).reshape(batch_dim, -1, 2), jnp.uint16 - )[:, :chunk_num_u16] - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=( - "mask", - "modulus_377_int_chunk", - "mu_377_int_chunk", - "chunk_num_u16", - "vmap_axes", - ), -) -def mod_mul_barrett_2u16( - value_a: jax.Array, - value_b: jax.Array, - mask=util.U16_MASK, - modulus_377_int_chunk=util.MODULUS_377_INT_CHUNK, - mu_377_int_chunk=util.MU_377_INT_CHUNK, - chunk_num_u16=util.U16_CHUNK_NUM, - vmap_axes=(0, None), -): - """Multiply two u16 values with Barrett reduction. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - mask: The mask to apply to the value. - modulus_377_int_chunk: The modulus 377. - mu_377_int_chunk: The Barrett reduction coefficient. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - vmap_axes: The axes to use for vmap. - - Returns: - value_c: The result of the multiplication. - """ - modulus_377_int_array = jnp.asarray(modulus_377_int_chunk, jnp.uint16) - mu_377_int_array = jnp.asarray(mu_377_int_chunk, jnp.uint16) - - mul_2u16_const = functools.partial(mul_2u16, vmap_axes=vmap_axes) - sub_2u16_const = functools.partial( - sub_2u16, mask=mask, chunk_num_u16=chunk_num_u16 * 2 - ) - value_x = mul_2u16(value_a, value_b) - value_d = mul_shift_2u16x2x1(value_x, mu_377_int_array) - value_e = mul_2u16_const(value_d, modulus_377_int_array) - value_t = sub_2u16_const(value_x, value_e) - value_c = cond_sub_mod_u16(value_t[:, :chunk_num_u16]) - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=( - "mask", - "modulus_377_int_chunk", - "mu_377_int_chunk", - "chunk_num_u16", - "vmap_axes", - ), -) -def barrett_reduction_u16x2( - value_x: jax.Array, - mask=util.U16_MASK, - modulus_377_int_chunk=util.MODULUS_377_INT_CHUNK, - mu_377_int_chunk=util.MU_377_INT_CHUNK, - chunk_num_u16=util.U16_CHUNK_NUM, - vmap_axes=(0, None), -): - """Performs Barrett reduction on a u16x2 value. - - Args: - value_x: The u16x2 value to perform Barrett reduction on. - mask: The mask to apply to the value. - modulus_377_int_chunk: The modulus 377. - mu_377_int_chunk: The Barrett reduction coefficient. - chunk_num_u16: The number of chunks in the u16 value (default: 24). - vmap_axes: The axes to use for vmap. - - Returns: - value_c: The result of the Barrett reduction. - """ - modulus_377_int_array = jnp.asarray(modulus_377_int_chunk, jnp.uint16) - mu_377_int_array = jnp.asarray(mu_377_int_chunk, jnp.uint16) - - mul_2u16_const = functools.partial(mul_2u16, vmap_axes=vmap_axes) - value_d = mul_shift_2u16x2x1(value_x, mu_377_int_array) - value_e = mul_2u16_const(value_d, modulus_377_int_array) - value_t = sub_2u16(value_x, value_e, mask, chunk_num_u16 * 2) - value_c = cond_sub_mod_u16(value_t[:, :chunk_num_u16]) - return value_c - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=( - "modulus_lazy_mat", - "mask", - "chunk_num_u8", - "chunk_shift_bits", - ), -) -def mod_mul_lazy_2u16( - value_a, - value_b, - modulus_lazy_mat=util.MODULUS_377_LAZY_MAT, - mask=util.U32_MASK, - chunk_num_u8=util.U8_CHUNK_NUM, - chunk_shift_bits=util.U32_CHUNK_SHIFT_BITS, -): - """Multiply two u16 values with lazy matrix reduction. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - modulus_lazy_mat: The lazy matrix. - mask: The mask to apply to the value. - chunk_num_u8: The number of chunks in the u8 value. - chunk_shift_bits: The number of bits to shift the value. - - Returns: - value_c: The result of the multiplication. - """ - batch_dim = value_a.shape[0] - modulus_lazy_mat = jnp.asarray(modulus_lazy_mat, dtype=jnp.uint16) - mul_2u8 = functools.partial( - mul_2u16, - mask=util.U32_MASK, - chunk_num_u16=util.U16_EXT_CHUNK_NUM, - chunk_shift_bits=util.U32_CHUNK_SHIFT_BITS, - output_dtype=jnp.uint8, - ) - value_c = mul_2u8(value_a, value_b) - standard_product_low = value_c[:, :chunk_num_u8] - standard_product_high = value_c[:, chunk_num_u8:] - - reduced = jnp.matmul( - standard_product_high.astype(jnp.uint16), - modulus_lazy_mat.astype(jnp.uint16), - preferred_element_type=jnp.uint32, - ) - value_c_reduced = jnp.add( - standard_product_low.astype(jnp.uint32), reduced.astype(jnp.uint32) - ) - value_c_reduced_u32 = rechunkify( - value_c_reduced, chunk_num_u8 // 2, chunk_num_u8 // 4 - ) - value_c_reduced_u32 = jnp.pad(value_c_reduced_u32, ((0, 0), (0, 1))) - - value_c_carried = jax.lax.while_loop( - functools.partial( - check_any_chunk_with_carry, chunk_shift_bits=chunk_shift_bits - ), - functools.partial( - carry_propagation, mask=mask, chunk_shift_bits=chunk_shift_bits - ), - value_c_reduced_u32, - ) - - value_c_u16 = jax.lax.bitcast_convert_type( - value_c_carried.astype(jnp.uint32), jnp.uint16 - ).reshape(batch_dim, -1)[:, : util.U16_EXT_CHUNK_NUM] - return value_c_u16 - - -def split_view_32_to_16(a: jnp.ndarray): - # Interpret each 32-bit element as two 16-bit numbers - # and reshape to add an extra dimension of size 2. - v = a.view(jnp.uint16).reshape(a.shape + (2,)) - # Assuming little-endian storage, the lower 16 bits are at index 0 - # and the upper 16 bits are at index 1. - lower = v[..., 0] - upper = v[..., 1] - return upper, lower - - -def split_view_32_to_16_8(a: jnp.ndarray): - # First, reshape the 32-bit integers as groups of 4 bytes. - v8 = a.view(jnp.uint8).reshape(a.shape + (4,)) - # Also, reshape as 16-bit integers (2 per 32-bit element) - v16 = a.view(jnp.uint16).reshape(a.shape + (2,)) - # For each 32-bit integer: - # v16[..., 0] gives the lower 16 bits. - # v8[..., 2] gives the third byte (i.e. the lower 8 bits of the upper 16 bits) - lower = v16[..., 0] - upper8 = v8[..., 2] - return upper8, lower - - -# Reduce via RNS modulus -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_t", -) -def moduli_rns_red_internal_2u16(vals, moduli_t=util.RNS_MODULI_T): - """Reduce via RNS modulus. - - Args: - vals: The values to reduce. - moduli_t: The moduli for the target. - - Returns: - The reduced values. - """ - # See jaxite_ec/advanced_algorithm/rns_red.py for description - moduli_t = jnp.array(moduli_t, dtype=jnp.uint8) - u1, l1 = split_view_32_to_16(vals) - i1 = jnp.add( - l1.astype(jnp.uint32), - jnp.multiply(u1.astype(jnp.uint32), moduli_t), - ) - u2, l2 = split_view_32_to_16_8(i1) - i2 = jnp.add( - l2.astype(jnp.uint32), - jnp.multiply(u2.astype(jnp.uint16), moduli_t).astype( - jnp.uint32 - ), - ) - u3, l3 = split_view_32_to_16_8(i2) - out = jnp.add(l3, jnp.multiply(u3, moduli_t).astype(jnp.uint16)) - return out - - -# Reduce via prime modulus -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=("rns_mat", "moduli_t", "num_moduli", "precision"), -) -def mod_red_rns_2u16( - c_rns_reduced, - rns_mat=util.RNS_MAT, - moduli_t=util.RNS_MODULI_T, - num_moduli=util.NUM_MODULI, - precision=util.RNS_PRECISION, -): - """Reduce via RNS modulus. - - Args: - c_rns_reduced: The values to reduce. - rns_mat: The RNS precompute. - moduli_t: The moduli for the target. - num_moduli: The number of moduli. - precision: The precision. - - Returns: - The reduced values. - """ - rns_stacked_mat = jnp.array(rns_mat[0], jnp.uint8) - cor_mat = jnp.array(rns_mat[1], jnp.uint16) - - c_target = jnp.matmul( - c_rns_reduced.view(jnp.uint8), - rns_stacked_mat, - preferred_element_type=jnp.uint32, - ) - - mul_res_glb_red_u32 = c_target.reshape(*c_target.shape[:-1], -1, 2) - mul_res_glb_red_u32 = mul_res_glb_red_u32[..., 0] + ( - mul_res_glb_red_u32[..., 1] << 8 - ) - rns_reduce_u32, qe_u32 = jnp.split( - mul_res_glb_red_u32, [num_moduli], axis=1 - ) - - # obtain the high 32 bits from the quotient estimation results qe_u32 - k = (qe_u32 >> precision).astype(jnp.uint16) - c_corrected = rns_reduce_u32 + jnp.matmul( - k, cor_mat, preferred_element_type=jnp.uint32 - ) - - return moduli_rns_red_internal_2u16(c_corrected, moduli_t) - - -# Multiply, without reducing -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_t", -) -def mul_unreduced_rns_2u16( - value_a, - value_b, - moduli_t=util.RNS_MODULI_T, -): - ab = jnp.multiply(value_a.astype(jnp.uint32), value_b.astype(jnp.uint32)) - return moduli_rns_red_internal_2u16(ab, moduli_t) - - -# Multiply and reduce -@jax.named_call -@functools.partial( - jax.jit, - static_argnames=("rns_mat", "moduli_t"), -) -def mod_mul_rns_2u16( - value_a, - value_b, - rns_mat=util.RNS_MAT, - moduli_t=util.RNS_MODULI_T, -): - """Multiply two u16 values with RNS reduction. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - rns_mat: The RNS precompute. - moduli_t: The moduli for the target. - - Returns: - The product of the two u16 values. - """ - ab = mul_unreduced_rns_2u16(value_a, value_b, moduli_t) - return mod_red_rns_2u16(ab, rns_mat, moduli_t) - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_t", -) -def add_rns_2u16( - value_a: jax.Array, - value_b: jax.Array, - moduli_t=util.RNS_MODULI_T, -): - """Add two u16 values with RNS reduction. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - moduli_t: The moduli for the target. - - Returns: - The sum of the two u16 values. - """ - return add_sub_rns_var(value_a, value_b, moduli_t=moduli_t) - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_t", -) -def add_rns_3u16( - value_a: jax.Array, - value_b: jax.Array, - value_c: jax.Array, - moduli_t=util.RNS_MODULI_T, -): - """Add three u16 values with RNS reduction. - - Args: - value_a: The first u16 value. - value_b: The second u16 value. - value_c: The third u16 value. - moduli_t: The moduli for the target. - - Returns: - The sum of the three u16 values. - """ - return add_sub_rns_var(value_a, value_b, value_c, moduli_t=moduli_t) - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_sub", -) -def negate_rns_for_var_add( - value_a: jax.Array, - moduli_sub=util.MODULI_SUB, -): - """Negate a value for use in subtraction. - - Do not use the output in any function but add_sub_rns_var -- may break - correctness. - - Args: - value_a: RNS array to negate - moduli_sub: Precomputed constants for performing negation, that depend on - the target modulus - - Returns: - An intermediate representing the negation of values_a in the target modulus - in RNS form. - - Note: original data precision is 16 bit, using uint32 to avoid overflow - """ - moduli_sub = jnp.array(moduli_sub, dtype=jnp.uint32) - - return jnp.add( - jnp.negative(value_a.astype(jnp.uint16)).astype(jnp.uint32), - moduli_sub, - ) - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_sub", -) -def negate_rns_for_var_add_zero_check( - value_a: jax.Array, - moduli_sub=util.MODULI_SUB, -): - """Negate a value for use in subtraction. - - Do not use the output in any function but add_sub_rns_var -- may break - correctness. - - Args: - value_a: RNS array to negate - moduli_sub: Precomputed constants for performing negation, that depend on - the target modulus - - Returns: - An intermediate representing the negation of values_a in the target modulus - in RNS form. - - Note: original data precision is 16 bit, using uint32 to avoid overflow - """ - - moduli_sub = jnp.array(moduli_sub, dtype=jnp.uint32) - a = value_a.astype(jnp.uint16) - - # Compute two's complement negation: for nonzero a, jnp.negative(a) computes - # (2^16 - a). - neg = jnp.negative(a).astype(jnp.uint32) - - # Build a branchless mask: 0 if a==0, 1 otherwise. - mask = (a != 0).astype(jnp.uint32) - - # For nonzero a: (2^16 - a) + moduli_sub; for zero: m + 0 multiplied by 0 - # gives 0. - return (neg + moduli_sub) * mask - - -@jax.named_call -@functools.partial( - jax.jit, - static_argnames="moduli_t", -) -def add_sub_rns_var(*values, moduli_t=util.RNS_MODULI_T): - """Evaluate an static set of additions and subtractions. - - Subtractions are implemented by calling negate_rns_for_var_add on inputs to - this function. Inputs should be "fresh" or multiplication outputs, and the - output should be used as a multiplication input. Any other usage produces - undefined behavior and may break correctness. - - Args: - *values: A list of RNS values to accumulate - moduli_t: The moduli for the RNS form. - - Returns: - The RNS form of the evaluation of the expession. - """ - assert len(values) > 0 - acc = None - for v in values: - if acc != None: - acc = jnp.add(v.astype(jnp.uint32), acc) - else: - acc = v.astype(jnp.uint32) - assert len(values) < 256 - moduli_t = jnp.array(moduli_t, dtype=jnp.uint8) - # u1 < 254 - u1, l1 = split_view_32_to_16_8(acc) - # i1 < 2**16 - 1 + 255t < 2**17 - t for 8 bit t - i1 = jnp.add( - jnp.multiply(u1.astype(np.uint16), moduli_t).astype(jnp.uint32), - l1.astype(jnp.uint32), - ) - # u2 = 0 or 1, but if u2 = 1 then l < 2**16 - t, so 2**16 - t + t < 2**16 - u2, l2 = split_view_32_to_16_8(i1) - return jnp.add(jnp.multiply(u2, moduli_t).astype(jnp.uint16), l2) - - -@functools.partial(jax.jit, static_argnames=("c", "num_moduli")) -def rns_constant(c, num_moduli=util.NUM_MODULI): - assert c >= 0 - assert c < 2**14 # small constants only please - return jnp.repeat(jnp.array([c], dtype=jnp.uint16), num_moduli) diff --git a/jaxite_ec/finite_field_context.py b/jaxite_ec/finite_field_context.py new file mode 100644 index 0000000..0a690ce --- /dev/null +++ b/jaxite_ec/finite_field_context.py @@ -0,0 +1,1204 @@ +from abc import ABC, abstractmethod +import math +from typing import Any, List, Union +import warnings +import jax +import jax.numpy as jnp +from jaxite.jaxite_ec import utils +import numpy as np + +JaxKernelContextBase = utils.JaxKernelContextBase +JaxParameters = utils.JaxParameters +hash_args = utils.hash_args +jax_jit_lower_compile = utils.jax_jit_lower_compile +load_jax_executable = utils.load_jax_executable +pad_jax_array = utils.pad_jax_array +store_jax_executable = utils.store_jax_executable + +jax.config.update("jax_enable_x64", True) + + +class FiniteFieldContextBase(ABC): + """Abstract base class defining the interface for finite field operations. + + Subclasses must implement all abstract methods to provide concrete + finite field arithmetic operations. + """ + + prime: Any = None + parameters: Any = None + rns_moduli: Any = None + radix_bits: Any = None + + @abstractmethod + def __init__(self, parameters: dict): + """Initialize the finite field context. + + Args: + parameters: Configuration dictionary containing field parameters. + """ + self.prime = parameters.get("prime", None) + assert self.prime is not None, "prime must be provided" + self.parameters = parameters + + @abstractmethod + def to_computational_format(self, a) -> jnp.ndarray: + """Convert input to the internal computational representation. + + Args: + a: Input value in standard format. + + Returns: + Value converted to computational format (e.g., Montgomery form). + """ + pass + + def _modular_multiply(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return a + + def _modular_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return a + + def _modular_subtract(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return a + + def _modular_negate(self, a: jnp.ndarray) -> jnp.ndarray: + return a + + def _modular_reduce(self, a: jnp.ndarray) -> jnp.ndarray: + return a + + @abstractmethod + def to_original_format(self, a) -> Union[int, List[Any]]: + """Convert from computational format back to standard representation. + + Args: + a: Value in computational format. + + Returns: + Value in standard integer representation. + """ + pass + + @abstractmethod + def context_hash(self) -> str: + pass + + @abstractmethod + def modular_multiply(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Perform modular multiplication: (a * b) mod p. + + Args: + a: First operand in computational format. + b: Second operand in computational format. + + Returns: + Product in computational format. + """ + pass + + @abstractmethod + def modular_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Perform modular addition: (a + b) mod p. + + Args: + a: First operand. + b: Second operand. + + Returns: + Sum reduced modulo p. + """ + pass + + @abstractmethod + def modular_subtract(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Perform modular subtraction: (a - b) mod p. + + Args: + a: First operand. + b: Second operand. + + Returns: + Difference reduced modulo p. + """ + pass + + @abstractmethod + def modular_negate(self, a: jnp.ndarray) -> jnp.ndarray: + """Perform modular negation: -a mod p. + + Args: + a: Operand. + + Returns: + Negation reduced modulo p. + """ + pass + + @abstractmethod + def modular_reduce(self, a: jnp.ndarray) -> jnp.ndarray: + """Reduce value modulo the field prime. + + Args: + a: Value to reduce (may be larger than prime). + + Returns: + Value reduced to [0, p). + """ + pass + + +class RNSContextBase(FiniteFieldContextBase): + + def __init__(self, parameters: dict): + super().__init__(parameters) + self.rns_moduli = parameters.get("rns_moduli", []) + assert len(self.rns_moduli) != 0, "rns_moduli must be non-empty" + self.total_modulus = math.prod(self.rns_moduli) + assert ( + self.total_modulus > self.prime + ), "RNS total modulus must be greater than prime" + self.precision_bits = parameters.get( + "precision_bits", 0 + ) # Default precision bits + assert self.precision_bits != 0, "precision bits must be non-zero" + + self.crt_factors = self._compute_crt_factors(self.rns_moduli) + # RNSContextBase._check_parameters(self) + + def _check_parameters(self): + pass # disable the warning for now + sum_moduli_bits = math.ceil(math.log2(sum(self.rns_moduli))) + if self.precision_bits < sum_moduli_bits: + warnings.warn( + "precision_bits is less than sum of moduli_bits, precision_bits:" + f" {self.precision_bits}, sum of moduli_bits: {sum_moduli_bits}." + + "This may cause precision loss.", + UserWarning, + stacklevel=2, + ) + + max_modulus_bits = max(math.ceil(math.log2(m)) for m in self.rns_moduli) + required_precision = max_modulus_bits + math.log2(len(self.rns_moduli)) + 1 + if self.precision_bits < required_precision: + warnings.warn( + "precision_bits is less than required precision, precision_bits:" + f" {self.precision_bits}, required precision: {required_precision}." + + "This may cause precision loss.", + UserWarning, + stacklevel=2, + ) + + def _compute_crt_factors(self, moduli: list[int]): + ms = [self.total_modulus // m for m in moduli] + ms_inv = [ + utils.modular_inverse(ms[i], moduli[i]) for i in range(len(moduli)) + ] + return [ + (ms[i] * ms_inv[i]) % self.total_modulus for i in range(len(moduli)) + ] + + def _elementwise_add(self, a: list[int], b: list[int]): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] + b[i] for i in range(len(a))] + + def _elementwise_subtract(self, a: list[int], b: list[int]): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] - b[i] for i in range(len(a))] + + def _elementwise_multiply(self, a: list[int], b: list[int]): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] * b[i] for i in range(len(a))] + + def _elementwise_reduce(self, z: list[int], m: list[int]): + assert len(z) == len(m), "z and m must have the same length" + return [z[i] % m[i] for i in range(len(m))] + + def _elementwise_left_shift(self, a: list[int], b: Union[list[int], int]): + if isinstance(b, list): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] << b[i] for i in range(len(a))] + else: + return [a[i] << b for i in range(len(a))] + + def _elementwise_right_shift(self, a: list[int], b: Union[list[int], int]): + if isinstance(b, list): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] >> b[i] for i in range(len(a))] + else: + return [a[i] >> b for i in range(len(a))] + + def _elementwise_and(self, a: list[int], b: Union[list[int], int]): + if isinstance(b, list): + assert len(a) == len(b), "a and b must have the same length" + return [a[i] & b[i] for i in range(len(a))] + else: + return [a[i] & b for i in range(len(a))] + + def _rns_decompose(self, x: int, moduli: list[int]): + return [(x % m) for m in moduli] + + def _get_crns_vector_I_before_reducing(self, moduli_m: list[int], y): + vector_i = [] + modular_M = math.prod(moduli_m) + for i, m_i in enumerate(moduli_m): + # M_y_over_m_i = (modular_M * y) // m_i + M_y_over_m_i = (modular_M) // m_i + # logging.info(f"M_y_over_m_i: {M_y_over_m_i}") + inv_M_y_over_m_i = utils.modular_inverse(M_y_over_m_i % m_i, m_i) + # logging.info(f"inv_M_y_over_m_i: {inv_M_y_over_m_i}") + I_i = inv_M_y_over_m_i * M_y_over_m_i * y + vector_i.append(I_i) + return vector_i + + def get_moduli_num(self) -> int: + return len(self.rns_moduli) + + def _crns( + self, + x: list[int], + matrix_E: list[list[int]], + vector_f_T: list[int], + vector_g: list[int], + moduli: list[int], + u: int, + ): + """CRNS Computation based on Algorithm steps 9-12 + + Args: + x: Input vector x_M in RNS representation + matrix_E: Precomputed matrix E from crns_precompute + vector_f_T: Precomputed vector f^T from crns_precompute + vector_g: Precomputed vector g from crns_precompute + moduli: RNS moduli (should be self.rns_moduli_n) + + Returns: + x_N: Result vector in RNS representation modulo N + """ + # Step 9: E, f^T, g = CRNSPRECOMPUTATION(M, y, N, z, u) - already done + # (matrix_E, vector_f_T, vector_g are passed as parameters) + + # Step 10: v = x_M · f^T (Dot product; can be parallelized with x_M · E) + v = sum(x[i] * vector_f_T[i] for i in range(len(x))) + + # Step 11: k = ⌊v/2^u⌋ (Bitshifting computes fixed-point quotient) + k = v >> u # Right shift by u bits is equivalent to floor division by 2^u + + # Step 12: return x_N = x_M · E + k·g (vector-matrix multiply, scalar-vector multiply, compute ICRT) + x_N = [] + for j in range(len(moduli)): + # Compute x_M · E for column j + dot_product = sum(x[i] * matrix_E[i][j] for i in range(len(x))) + dot_product = dot_product % moduli[j] + x_N.append(dot_product) + + for j in range(len(moduli)): + # Add k * g_j and take modulo n_j + # result = (x_N[j] + k * vector_g[j]) % moduli[j] + result = x_N[j] + k * vector_g[j] + x_N[j] = result + return x_N + + +class DRNSlazyContextBase(RNSContextBase): + + def __init__(self, parameters: dict): + super().__init__(parameters) + self.radix_bits = parameters.get("radix_bits", 0) + assert self.radix_bits != 0, " radix bits must be non-zero" + self.moduli_inv_on_radix = [ + utils.modular_inverse(m, 1 << self.radix_bits) for m in self.rns_moduli + ] + self.crns_y, self.crns_z = self._precompute_crns_parameters() + self.matrix_E, self.vector_f_T, self.vector_g = self._crns_precompute( + self.rns_moduli, + self.prime, + self.crns_y, + self.crns_z, + self.precision_bits, + ) + + def _check_parameters(self): + pass # disable the warning for now + if (self.prime << self.w) > self.total_modulus: + warnings.warn( + "Total modulus is not enough to hold prime in DRNSlazy, total" + f" modulus: {self.total_modulus}, prime: {self.prime}." + + "This may cause finite field overflow.", + UserWarning, + stacklevel=2, + ) + + def _precompute_crns_parameters(self): + radix_inv = utils.modular_inverse(2**self.radix_bits, self.total_modulus) + return radix_inv, 1 << (2 * self.radix_bits) + + def _crns_precompute( + self, + moduli: list[int], + prime: int, + y: int, + z: int, + u: int, + ): + modular = math.prod(moduli) + vector_i = [] + for i, m_i in enumerate(moduli): + M_over_m_i = modular // m_i + inv_M_over_m_i = utils.modular_inverse(M_over_m_i % m_i, m_i) + I_i = (inv_M_over_m_i * M_over_m_i * y) % modular + I_i = I_i + vector_i.append(I_i) + + matrix_E = [] + for i, I_i in enumerate(vector_i): + E_row = [] + for j, n_j in enumerate(moduli): + E_ij = (z * (I_i % prime)) % n_j + E_row.append(E_ij) + matrix_E.append(E_row) + + vector_f_T = [] + for I_i in vector_i: + f_i_T = math.ceil((I_i * (1 << u)) / modular) + vector_f_T.append(f_i_T) + + vector_g = [] + for n_j in moduli: + g_j = (-z * (modular % prime)) % n_j + vector_g.append(g_j) + + return matrix_E, vector_f_T, vector_g + + def _elementwise_montgomery_reduce( + self, z: list[int], m: list[int], m_inv: list[int] + ): + assert len(z) == len(m), "z and m must have the same length" + assert len(z) == len(m_inv), "z and m_inv must have the same length" + mask = (1 << self.radix_bits) - 1 + z_low = self._elementwise_and(z, mask) + z_high = self._elementwise_right_shift(z, self.radix_bits) + q = self._elementwise_and(self._elementwise_multiply(z_low, m_inv), mask) + h = self._elementwise_right_shift( + self._elementwise_multiply(q, m), self.radix_bits + ) + t = self._elementwise_subtract(z_high, h) + t = self._elementwise_add(t, m) + return t + + +class DRNSlazyContext(DRNSlazyContextBase, JaxKernelContextBase): + + def __init__(self, parameters: dict): + super().__init__(parameters) + JaxKernelContextBase.__init__(self) + self.jax_parameters = JaxParameters() + self._init_jax_parameters() + + def to_computational_format(self, a: Union[int, list]) -> jnp.ndarray: + moduli = self.rns_moduli + radix_bits = self.radix_bits + + def individual_convert(a: int) -> list: + return [(((a % m) << radix_bits) % m) for m in moduli] + + def recursive_convert(a): + if isinstance(a, int): + return individual_convert(a) + return [recursive_convert(a_i) for a_i in a] + + converted_list = recursive_convert(a) + converted_a = jnp.array( + np.array(converted_list, dtype=np.uint32), dtype=jnp.uint32 + ) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=converted_a.shape, axes=[0] + ) + converted_a = pad_jax_array(converted_a, padded_shape) + return converted_a.to_device(named_sharding) + else: + return converted_a.to_device(jax.devices()[0]) + + def to_original_format(self, a: jnp.ndarray) -> Union[int, list]: # type: ignore + def individual_convert(a: list[int]) -> int: + a = self._elementwise_montgomery_reduce( + a, self.rns_moduli, self.moduli_inv_on_radix + ) + r = 0 + for i in range(len(a)): + r = (r + a[i] * self.crt_factors[i]) % self.total_modulus + return r % self.prime + + def recursive_convert(a): + if a.ndim == 1: + return individual_convert(a.tolist()) + return [recursive_convert(a_i) for a_i in a] + + return recursive_convert(a) + + def _get_shape_dtype_structs( + self, parameters: dict + ) -> list[jax.ShapeDtypeStruct]: + batch_shape = parameters["batch_shape"] + oprand_shape = batch_shape + (len(self.rns_moduli),) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=oprand_shape, axes=[0] + ) + return [ + jax.ShapeDtypeStruct( + padded_shape, jnp.uint32, sharding=named_sharding + ) + ] + return [jax.ShapeDtypeStruct(oprand_shape, jnp.uint32)] + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.prime, + self.rns_moduli, + self.precision_bits, + self.radix_bits, + self.use_sharding, + ) + + def serialize(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + store_jax_executable( + self._modular_multiply, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_multiply_{kernel_hash}", + ) + store_jax_executable( + self._modular_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_add_{kernel_hash}", + ) + store_jax_executable( + self._modular_subtract, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_subtract_{kernel_hash}", + ) + store_jax_executable( + self._modular_reduce, + shape_dtype_structs[0], + name=f"{class_name}_modular_reduce_{kernel_hash}", + ) + store_jax_executable( + self._modular_negate, + shape_dtype_structs[0], + name=f"{class_name}_modular_negate_{kernel_hash}", + ) + + def compile(self, parameters: dict): + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + modular_multiply_kernel = load_jax_executable( + f"{class_name}_modular_multiply_{kernel_hash}" + ) + modular_add_kernel = load_jax_executable( + f"{class_name}_modular_add_{kernel_hash}" + ) + modular_subtract_kernel = load_jax_executable( + f"{class_name}_modular_subtract_{kernel_hash}" + ) + modular_reduce_kernel = load_jax_executable( + f"{class_name}_modular_reduce_{kernel_hash}" + ) + modular_negate_kernel = load_jax_executable( + f"{class_name}_modular_negate_{kernel_hash}" + ) + + if None in [ + modular_multiply_kernel, + modular_add_kernel, + modular_subtract_kernel, + modular_reduce_kernel, + modular_negate_kernel, + ]: + # if not self.use_sharding: + warnings.warn( + f"Not found stored serialized compiled kernels, compiling...", + UserWarning, + stacklevel=2, + ) + + kernel_hash = hash_args( + shape_dtype_structs[0].shape, shape_dtype_structs[0].dtype.__str__() + ) + # print(f"kernel_hash: {kernel_hash}") + + self.compiled_kernels[kernel_hash] = { + "modular_multiply": ( + modular_multiply_kernel + if modular_multiply_kernel is not None + else jax_jit_lower_compile( + self._modular_multiply, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_add": ( + modular_add_kernel + if modular_add_kernel is not None + else jax_jit_lower_compile( + self._modular_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_subtract": ( + modular_subtract_kernel + if modular_subtract_kernel is not None + else jax_jit_lower_compile( + self._modular_subtract, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_reduce": ( + modular_reduce_kernel + if modular_reduce_kernel is not None + else jax_jit_lower_compile( + self._modular_reduce, shape_dtype_structs[0] + ) + ), + "modular_negate": ( + modular_negate_kernel + if modular_negate_kernel is not None + else jax_jit_lower_compile( + self._modular_negate, shape_dtype_structs[0] + ) + ), + } + self.use_compiled_kernels = True + + def _jax_crns_precompute( + self, moduli: list[int], prime: int, y: int, z: int, u: int + ): + rns_moduli_bytes = 4 + vector_I = self._get_crns_vector_I_before_reducing(moduli, y) + modular = math.prod(moduli) + + vector_I_byteshifted = [] + for value_i in vector_I: + value_i_byteshifted = [ + (value_i << (8 * byte_idx)) % modular + for byte_idx in range(rns_moduli_bytes) + ] + vector_I_byteshifted = vector_I_byteshifted + value_i_byteshifted + + matrix_E = [] + for value_i_byteshifted in vector_I_byteshifted: + value_i_byteshifted = z * (value_i_byteshifted % prime) + matrix_E.append(self._rns_decompose(value_i_byteshifted, moduli)) + + matrix_E_np = np.array(matrix_E, dtype=np.uint32).reshape(-1, len(moduli)) + matrix_E_np_u8 = matrix_E_np.view(np.uint8) + + vector_f = [] + for value_i_byteshifted in vector_I_byteshifted: + value_i_byteshifted_f = math.ceil( + (value_i_byteshifted * (1 << u)) / modular + ) + vector_f.append(value_i_byteshifted_f) + vector_f_T_np = np.array(vector_f, dtype=np.uint32).reshape(-1, 1) + vector_f_T_np_u8 = vector_f_T_np.view(np.uint8) + + vector_g = self._rns_decompose(-z * (modular % prime), moduli) + vector_g_np = np.array(vector_g, dtype=np.uint32).reshape(1, -1) + + matrix_E_with_f_T_np = np.hstack((matrix_E_np_u8, vector_f_T_np_u8)) + matrix_E_with_f_T_np = matrix_E_with_f_T_np.reshape( + len(moduli), 4, len(moduli) + 1, 4 + ) # NOTE: reshape is special part for the optimization + return matrix_E_with_f_T_np.tolist(), vector_g_np.tolist() + + def _init_jax_parameters(self): + half_word_mask = 0xFFFF + half_word_bits = 16 + word_bits = 32 + word_mask = (1 << word_bits) - 1 + rns_moduli_low = [m & half_word_mask for m in self.rns_moduli] + rns_moduli_high = [m >> half_word_bits for m in self.rns_moduli] + rns_moduli_inv_word = [ + utils.modular_inverse(m, 2**word_bits) for m in self.rns_moduli + ] + crns_precision = self.precision_bits + crns_matrix_E_with_f_T, crns_vector_g = self._jax_crns_precompute( + self.rns_moduli, + self.prime, + self.crns_y, + self.crns_z, + self.precision_bits, + ) + num_moduli = len(self.rns_moduli) + moduli_sub = self.to_computational_format( + 256 * num_moduli * 4 * 2 * self.prime + ) + + self.jax_parameters.set_parameter( + word_mask=word_mask, + half_word_mask=half_word_mask, + half_word_bits=half_word_bits, + word_bits=word_bits, + rns_moduli=jnp.array(self.rns_moduli, dtype=jnp.uint64), + rns_moduli_low=jnp.array(rns_moduli_low, dtype=jnp.uint16), + rns_moduli_high=jnp.array(rns_moduli_high, dtype=jnp.uint16), + rns_moduli_inv_word=jnp.array(rns_moduli_inv_word, dtype=jnp.uint32), + crns_precision=jnp.array(crns_precision, dtype=jnp.uint32), + crns_stacked_mat_E_with_f_T=jnp.array( + crns_matrix_E_with_f_T, dtype=jnp.uint8 + ), + crns_vector_g=jnp.array(crns_vector_g, dtype=jnp.uint32), + rns_moduli_sub=jnp.array(moduli_sub, dtype=jnp.uint32), + rns_moduli_negate=jnp.array(self.rns_moduli, dtype=jnp.uint32), + ) + + def _jax_montgomery_reduce(self, z: jax.Array) -> jax.Array: + + # Computation + z_low = z.astype(jnp.uint32) + z_high = (z >> self.jax_parameters.word_bits).astype(jnp.uint32) + t = ( + z_low * self.jax_parameters.rns_moduli_inv_word + ) & self.jax_parameters.word_mask + t_low = t & self.jax_parameters.half_word_mask + t_high = ( + t >> self.jax_parameters.half_word_bits + ) & self.jax_parameters.half_word_mask + + prod_high = ( + t_high * self.jax_parameters.rns_moduli_high + ) # This contributes directly to upper 32 bits + prod_mid_high = ( + t_high * self.jax_parameters.rns_moduli_low + ) # Upper 16 bits go to upper 32 bits + prod_mid_low = ( + t_low * self.jax_parameters.rns_moduli_high + ) # Upper 16 bits go to upper 32 bits + prod_low = ( + t_low * self.jax_parameters.rns_moduli_low + ) # Upper 16 bits contribute to middle part + mid_low = ( + (prod_mid_high & self.jax_parameters.half_word_mask) + + (prod_mid_low & self.jax_parameters.half_word_mask) + + (prod_low >> self.jax_parameters.half_word_bits) + ) + mid_high = ( + (prod_mid_high >> self.jax_parameters.half_word_bits) + + (prod_mid_low >> self.jax_parameters.half_word_bits) + + (mid_low >> self.jax_parameters.half_word_bits) + ) + + # Final upper 32 bits + t_final = prod_high + mid_high + b = z_high + self.jax_parameters.rns_moduli - t_final + return b.astype(jnp.uint32) + + def _jax_crns(self, z: jax.Array) -> jax.Array: + shift_factors = jnp.array([0, 8, 16, 24], dtype=jnp.uint64) + precision_mask = jnp.array( + (1 << self.jax_parameters.crns_precision) - 1, dtype=jnp.uint32 + ) + num_moduli_n = self.jax_parameters.crns_vector_g.shape[1] + + einsum_subscripts = "...kq,kqnp->...np" + # computation + x_u8 = jax.lax.bitcast_convert_type(z, jnp.uint8) + + # x_reconstruction_with_v = jnp.matmul(x_u8, stacked_mat_E_with_f_T, preferred_element_type=jnp.uint32) + x_reconstruction_with_v = jnp.einsum( + einsum_subscripts, + x_u8, + self.jax_parameters.crns_stacked_mat_E_with_f_T, + preferred_element_type=jnp.uint32, + ) + x_reconstruction_with_v_u64 = jnp.sum( + x_reconstruction_with_v.astype(jnp.uint64) << shift_factors, axis=(-1,) + ) + + x_n, vector_v = jnp.split( + x_reconstruction_with_v_u64, [num_moduli_n], axis=-1 + ) + vector_v = (vector_v >> self.jax_parameters.crns_precision) & precision_mask + + x_n = x_n + jnp.multiply(vector_v, self.jax_parameters.crns_vector_g) + return x_n + + def _modular_multiply(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + z = jnp.multiply(a.astype(jnp.uint64), b.astype(jnp.uint64)) + z_reduced = self._jax_montgomery_reduce(z) + z_rns_reduced = self._jax_crns( + z_reduced + ) # could be skipped for small prime + z_reduced = self._jax_montgomery_reduce( + z_rns_reduced + ) # could be skipped for small prime (paired with the above) + return z_reduced + + def _modular_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return a + b + + def _modular_subtract(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return self._modular_negate(b) + a + + def _modular_reduce(self, a: jnp.ndarray) -> jnp.ndarray: + z_rns_reduced = self._jax_crns(a) + z_reduced = self._jax_montgomery_reduce(z_rns_reduced) + return z_reduced + + def _modular_negate(self, a: jax.Array) -> jax.Array: + return jnp.add( + jnp.subtract(self.jax_parameters.rns_moduli_negate, a), + self.jax_parameters.rns_moduli_sub, + ) + + def modular_multiply(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + print(f"using compiled kernel for modular_multiply: {kernel_hash}") + return self.compiled_kernels[kernel_hash]["modular_multiply"](a, b) + else: + return self._modular_multiply(a, b) + + def modular_add(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_add"](a, b) + else: + return self._modular_add(a, b) + + def modular_subtract(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_subtract"](a, b) + else: + return self._modular_subtract(a, b) + + def modular_reduce(self, a: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_reduce"](a) + else: + return self._modular_reduce(a) + + def modular_negate(self, a: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_negate"](a) + else: + return self._modular_negate(a) + + +# ============================================================================= +# Lazy matrix reduction context +# ============================================================================= + + +def _lazy_check_carry(value_c: jax.Array) -> jax.Array: + """Check whether any 32-bit chunk holds a value exceeding 32 bits.""" + return jnp.any(jnp.not_equal(jnp.right_shift(value_c, jnp.uint64(32)), 0)) + + +def _lazy_carry_propagate(value_c: jax.Array) -> jax.Array: + """Propagate carries between adjacent 32-bit chunks.""" + n = value_c.shape[-1] + roll_mat = jnp.array( + [0, 1] + ([0] * n + [1]) * (n - 2) + [1] + [0] * (n - 1), + dtype=jnp.uint16, + ).reshape(n, n) + low = jnp.bitwise_and(value_c, jnp.uint64(0xFFFFFFFF)) + high = jnp.right_shift(value_c, jnp.uint64(32)).astype(jnp.uint16) + high = jnp.matmul(high, roll_mat, preferred_element_type=jnp.uint32).astype( + jnp.uint16 + ) + return jnp.add(low, high.astype(jnp.uint64)) + + +class LazyContextBase(FiniteFieldContextBase): + """Base class for lazy matrix modular reduction. + + Represents field elements as little-endian arrays of uint32 chunks + (base 2^32). The number of chunks is chunk_num_u8 // 4 + 1 to + provide one extra chunk of headroom for intermediate overflow. + """ + + def __init__(self, parameters: dict): + super().__init__(parameters) + raw_chunk_num_u8 = parameters.get( + "chunk_num_u8", math.ceil(int(self.prime).bit_length() / 8) + ) + # The byte pipeline in ``_mul_to_u8`` emits a ``4 * 2 * chunk_num_u32``-byte + # buffer, and ``_modular_multiply`` slices ``high = vc[:, n8:2*n8+4]`` + # against a ``(n8+4, n8)`` lazy matrix. The slice only fits when + # ``chunk_num_u8`` is a multiple of 4; round up so the invariant holds + # for primes with arbitrary bit-length. + self.chunk_num_u8 = ((raw_chunk_num_u8 + 3) // 4) * 4 + self.chunk_num_u32 = self.chunk_num_u8 // 4 + 1 + self.rns_moduli = self.chunk_num_u32 + self.word_mask = (1 << 32) - 1 + self.modulus_lazy_mat = self._construct_lazy_matrix() + self.prime_chunk = tuple(self._int_to_array(self.prime, self.chunk_num_u32)) + + @staticmethod + def _int_to_array(x: int, size: int, base: int = 32) -> list: + mask = (1 << base) - 1 + elems = [] + while x > 0: + elems.append(int(x & mask)) + x >>= base + return elems[:size] + [0] * max(0, size - len(elems)) + + @staticmethod + def _array_to_int(arr, base: int = 32) -> int: + result = 0 + for i, v in enumerate(arr): + result |= int(v) << (i * base) + return result + + def _construct_lazy_matrix(self): + """Build the lazy reduction matrix. + + Row i = (256^(chunk_num_u8 + i)) % prime, expressed as chunk_num_u8 + little-endian uint8 chunks. Shape: (chunk_num_u8 + 4, chunk_num_u8). + """ + n = self.chunk_num_u8 + return tuple( + tuple(self._int_to_array(pow(256, n + i, self.prime), n, base=8)) + for i in range(n + 4) + ) + + +class CROSSLazyContext(LazyContextBase, JaxKernelContextBase): + """Lazy matrix modular multiplication context for JAX.""" + + def __init__(self, parameters: dict): + super().__init__(parameters) + JaxKernelContextBase.__init__(self) + self._lazy_mat_jnp = jnp.array(self.modulus_lazy_mat, dtype=jnp.uint16) + self._prime_jnp = jnp.array(self.prime_chunk, dtype=jnp.uint32) + + # ---------- format conversion ---------- + + def to_computational_format(self, a) -> jnp.ndarray: + def _convert(x: int) -> jnp.ndarray: + return jnp.array( + self._int_to_array(x % self.prime, self.chunk_num_u32), + dtype=jnp.uint32, + ) + + def _recurse(x): + if isinstance(x, int): + return _convert(x) + return jnp.array([_recurse(xi) for xi in x], dtype=jnp.uint32) + + converted_a = _recurse(a) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=converted_a.shape, axes=[0] + ) + converted_a = pad_jax_array(converted_a, padded_shape) + return converted_a.to_device(named_sharding) + else: + return converted_a.to_device(jax.devices()[0]) + + def to_original_format(self, a: jnp.ndarray): + def _convert(arr) -> int: + return self._array_to_int(arr.tolist()) % self.prime + + def _recurse(x): + if x.ndim == 1: + return _convert(x) + return [_recurse(xi) for xi in x] + + return _recurse(a) + + # ---------- internal JAX helpers ---------- + + @staticmethod + def _conv_1d(a: jax.Array, b: jax.Array) -> jax.Array: + a = jax.lax.bitcast_convert_type(a, jnp.uint8).reshape(-1) + b = jax.lax.bitcast_convert_type(b, jnp.uint8).reshape(-1) + if jax.default_backend() == "gpu": + # cuDNN's integer conv only supports s8, not u8, so route through + # float32 on GPU. u8*u8 sums fit exactly in float32's 24-bit mantissa. + res = jnp.convolve(a.astype(jnp.float32), b.astype(jnp.float32)) + return res.astype(jnp.uint32) + return jnp.convolve(a, b, preferred_element_type=jnp.uint32) + + def _rechunkify(self, x: jax.Array, n_u16: int, n_u32: int) -> jax.Array: + """Merge adjacent uint8 coefficients into uint16, then uint32 chunks.""" + shift_u16 = jnp.array([[0, 8]] * n_u16, dtype=jnp.uint8) + shift_u32 = jnp.array([[0, 16]] * n_u32, dtype=jnp.uint8) + shape = x.shape[:-1] + (-1, 2) if x.ndim == 2 else (-1, 2) + x = jnp.sum(jnp.left_shift(x.reshape(shape), shift_u16), axis=-1) + x = jnp.sum( + jnp.left_shift(x.reshape(shape).astype(jnp.uint64), shift_u32), axis=-1 + ) + return x + + def _mul_to_u8(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Multiply two chunk arrays; return product as a flat uint8 array.""" + n = self.chunk_num_u32 + batch = a.shape[0] + res = jax.vmap(self._conv_1d)(a, b) + res = jnp.pad(res, ((0, 0), (0, 1))) + res = self._rechunkify(res, 4 * n, 2 * n) + res = jax.lax.while_loop(_lazy_check_carry, _lazy_carry_propagate, res) + return jax.lax.bitcast_convert_type( + res.astype(jnp.uint32), jnp.uint8 + ).reshape(batch, -1) + + def _sub_raw(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Compute a - b assuming a >= b (batched, shape [batch, chunk_num_u32]).""" + n = self.chunk_num_u32 + borrow_low = jnp.array( + [self.word_mask + 1] * (n - 1) + [0], dtype=jnp.uint64 + ) + borrow_high = jnp.array([0] + [1] * (n - 2) + [0], dtype=jnp.uint64) + c = jnp.subtract( + jnp.add(a.astype(jnp.uint64), borrow_low), b.astype(jnp.uint64) + ) + c = jnp.subtract(c, borrow_high) + c = jax.lax.while_loop(_lazy_check_carry, _lazy_carry_propagate, c) + c = c.at[:, n - 1].set(c[:, n - 1] - 1) + return c.astype(jnp.uint32) + + def _compare(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + """Return per-batch sign: >=0 means a>=b, <0 means a jnp.ndarray: + n8 = self.chunk_num_u8 + batch = a.shape[0] + vc = self._mul_to_u8(a, b) + low = vc[:, :n8] + high = vc[:, n8 : n8 * 2 + 4] + reduced = jnp.matmul( + high.astype(jnp.uint16), + self._lazy_mat_jnp, + preferred_element_type=jnp.uint32, + ) + vc2 = jnp.add(low.astype(jnp.uint32), reduced) + vc2 = self._rechunkify(vc2, n8 // 2, n8 // 4) + vc2 = jnp.pad(vc2, ((0, 0), (0, 1))) + vc2 = jax.lax.while_loop(_lazy_check_carry, _lazy_carry_propagate, vc2) + return vc2.astype(jnp.uint32)[:, : self.chunk_num_u32] + + def _modular_add(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + c = jax.lax.while_loop( + _lazy_check_carry, + _lazy_carry_propagate, + jnp.add(a.astype(jnp.uint64), b.astype(jnp.uint64)), + ) + return c.astype(jnp.uint32) + + def _modular_negate(self, a: jnp.ndarray) -> jnp.ndarray: + p = jnp.broadcast_to(self._prime_jnp, a.shape) + neg = self._sub_raw(p, a) + is_zero = jnp.all(a == 0, axis=-1, keepdims=True) + return jnp.where(is_zero, a, neg) + + def _modular_subtract(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return self._modular_add(a, self._modular_negate(b)) + + def _modular_reduce(self, a: jnp.ndarray) -> jnp.ndarray: + p = jnp.broadcast_to(self._prime_jnp, a.shape) + cond = jnp.greater_equal(self._compare(a, p), 0).reshape(-1, 1) + return jnp.where(cond, self._sub_raw(a, p), a) + + # ---------- public interface ---------- + + def modular_multiply(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + print(f"using compiled kernel for modular_multiply: {kernel_hash}") + return self.compiled_kernels[kernel_hash]["modular_multiply"](a, b) + else: + return self._modular_multiply(a, b) + + def modular_add(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_add"](a, b) + else: + return self._modular_add(a, b) + + def modular_subtract(self, a: jax.Array, b: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_subtract"](a, b) + else: + return self._modular_subtract(a, b) + + def modular_reduce(self, a: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_reduce"](a) + else: + return self._modular_reduce(a) + + def modular_negate(self, a: jax.Array) -> jax.Array: + kernel_hash = hash_args(a.shape, a.dtype.__str__()) + if self.use_compiled_kernels: + return self.compiled_kernels[kernel_hash]["modular_negate"](a) + else: + return self._modular_negate(a) + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.prime, + self.chunk_num_u8, + self.use_sharding, + ) + + def _get_shape_dtype_structs( + self, parameters: dict + ) -> list[jax.ShapeDtypeStruct]: + batch_shape = parameters["batch_shape"] + operand_shape = batch_shape + (self.chunk_num_u32,) + if self.use_sharding: + named_sharding, padded_shape = self.create_named_sharding( + shape=operand_shape, axes=[0] + ) + return [ + jax.ShapeDtypeStruct( + padded_shape, jnp.uint32, sharding=named_sharding + ) + ] + return [jax.ShapeDtypeStruct(operand_shape, jnp.uint32)] + + def serialize(self, parameters): # pytype: disable=signature-mismatch + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + store_jax_executable( + self._modular_multiply, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_multiply_{kernel_hash}", + ) + store_jax_executable( + self._modular_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_add_{kernel_hash}", + ) + store_jax_executable( + self._modular_subtract, + shape_dtype_structs[0], + shape_dtype_structs[0], + name=f"{class_name}_modular_subtract_{kernel_hash}", + ) + store_jax_executable( + self._modular_reduce, + shape_dtype_structs[0], + name=f"{class_name}_modular_reduce_{kernel_hash}", + ) + store_jax_executable( + self._modular_negate, + shape_dtype_structs[0], + name=f"{class_name}_modular_negate_{kernel_hash}", + ) + + def compile(self, parameters): # pytype: disable=signature-mismatch + shape_dtype_structs = self._get_shape_dtype_structs(parameters) + kernel_hash = hash_args(self.context_hash(), parameters) + class_name = self.__class__.__name__ + + modular_multiply_kernel = load_jax_executable( + f"{class_name}_modular_multiply_{kernel_hash}" + ) + modular_add_kernel = load_jax_executable( + f"{class_name}_modular_add_{kernel_hash}" + ) + modular_subtract_kernel = load_jax_executable( + f"{class_name}_modular_subtract_{kernel_hash}" + ) + modular_reduce_kernel = load_jax_executable( + f"{class_name}_modular_reduce_{kernel_hash}" + ) + modular_negate_kernel = load_jax_executable( + f"{class_name}_modular_negate_{kernel_hash}" + ) + + if None in [ + modular_multiply_kernel, + modular_add_kernel, + modular_subtract_kernel, + modular_reduce_kernel, + modular_negate_kernel, + ]: + # if not self.use_sharding: + warnings.warn( + f"Not found stored serialized compiled kernels, compiling...", + UserWarning, + stacklevel=2, + ) + + kernel_hash = hash_args( + shape_dtype_structs[0].shape, shape_dtype_structs[0].dtype.__str__() + ) + + self.compiled_kernels[kernel_hash] = { + "modular_multiply": ( + modular_multiply_kernel + if modular_multiply_kernel is not None + else jax_jit_lower_compile( + self._modular_multiply, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_add": ( + modular_add_kernel + if modular_add_kernel is not None + else jax_jit_lower_compile( + self._modular_add, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_subtract": ( + modular_subtract_kernel + if modular_subtract_kernel is not None + else jax_jit_lower_compile( + self._modular_subtract, + shape_dtype_structs[0], + shape_dtype_structs[0], + ) + ), + "modular_reduce": ( + modular_reduce_kernel + if modular_reduce_kernel is not None + else jax_jit_lower_compile( + self._modular_reduce, shape_dtype_structs[0] + ) + ), + "modular_negate": ( + modular_negate_kernel + if modular_negate_kernel is not None + else jax_jit_lower_compile( + self._modular_negate, shape_dtype_structs[0] + ) + ), + } + self.use_compiled_kernels = True diff --git a/jaxite_ec/finite_field_perf_test.py b/jaxite_ec/finite_field_perf_test.py new file mode 100644 index 0000000..0069470 --- /dev/null +++ b/jaxite_ec/finite_field_perf_test.py @@ -0,0 +1,108 @@ +import os + +import jax +import jax.numpy as jnp +from jaxite.jaxite_ec import finite_field_context as ff_context +from jaxite.jaxite_ec import profiler +from jaxite.jaxite_ec import utils + +from absl.testing import absltest +from absl.testing import parameterized + +jax.config.update("jax_enable_x64", True) + +PRIME = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 + +BATCH_SIZE_LIST = [4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096] + +NUM_MODULI_LIST = [32] # 21 for 256-bit, 32 for 384-bit, 56 for 753-bit + +TEST_PARAMS = [(f"moduli_{n}", n, BATCH_SIZE_LIST) for n in NUM_MODULI_LIST] + + +def _modular_multiply_kernel(a, b, parameters): + return parameters["ctx"]._modular_multiply(a, b) + + +class FiniteFieldModularMultiplyPerformanceTest(parameterized.TestCase): + + def setUp(self): + super().setUp() + outputs_dir = os.environ.get("TEST_UNDECLARED_OUTPUTS_DIR") + if outputs_dir: + self.output_trace_root = os.path.join(outputs_dir, "log") + else: + self.output_trace_root = os.path.join(os.path.dirname(__file__), "log") + self.profiler_config = { + "iterations": 1, + "save_to_file": True, + } + + @classmethod + def tearDownClass(cls): + super().tearDownClass() + root_dir = os.path.dirname(os.path.abspath(__file__)) + print(f"Collecting logs from: {root_dir}") + profiler.collect_logs(root_dir) + + def _create_kernel_wrapper(self, kernel_name, ctx, batch, num_moduli): + input_shape = (batch, num_moduli) + return profiler.KernelWrapper( + kernel_name=kernel_name, + function_to_wrap=_modular_multiply_kernel, + input_structs=[ + (input_shape, jnp.uint32), + (input_shape, jnp.uint32), + ], + parameters={"ctx": ctx}, + ) + + def _profile_modular_multiply(self, num_moduli, batch_size_list): + rns_moduli = utils.find_moduli_specified_number(num_moduli, 28) + + ctx = ff_context.DRNSlazyContext({ + "prime": PRIME, + "rns_moduli": rns_moduli, + "precision_bits": 28, + "radix_bits": 32, + }) + + profiler_instance = profiler.Profiler( + output_trace_path=self.output_trace_root, + profile_naming=f"ff_modular_multiply_moduli_{num_moduli}", + configuration=self.profiler_config, + ) + + for batch in batch_size_list: + kernel_name = f"ff_mod_mul_m{num_moduli}_b{batch}" + kernel_wrapper = self._create_kernel_wrapper( + kernel_name=kernel_name, + ctx=ctx, + batch=batch, + num_moduli=num_moduli, + ) + + profiler_instance.add_profile( + name=kernel_name, + kernel_wrapper=kernel_wrapper, + kernel_setting_cols={ + "num_moduli": num_moduli, + "batch": batch, + }, + ) + + profiler_instance.profile_all_profilers() + profiler_instance.post_process_all_profilers() + + @parameterized.named_parameters(*TEST_PARAMS) + def test_DRNSlazy_modular_multiply_performance( + self, num_moduli, batch_size_list + ): + self._profile_modular_multiply( + num_moduli=num_moduli, + batch_size_list=batch_size_list, + ) + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/finite_field_test.py b/jaxite_ec/finite_field_test.py index 208eda0..7d8f9c3 100644 --- a/jaxite_ec/finite_field_test.py +++ b/jaxite_ec/finite_field_test.py @@ -1,254 +1,68 @@ -import random - import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import util -import jaxite.jaxite_ec.algorithm.finite_field as pyff -import jaxite.jaxite_ec.finite_field as ff +from jaxite.jaxite_ec import finite_field_context as ff_context +from jaxite.jaxite_ec import utils import numpy as np from absl.testing import absltest +from absl.testing import parameterized jax.config.update("jax_enable_x64", True) -randint = random.randint - - -def list_operation(a, b, func): - return [func(ai, bi) for ai, bi in zip(a, b)] - - -def list_operation_three(a, b, c, func): - return [func(ai, bi, ci) for ai, bi, ci in zip(a, b, c)] - - -class FiniteFieldTest(absltest.TestCase): - - def setUp(self): - super().setUp() - self.value_a = [ - 0xBE4FBE5D03CE926E40E058BBDC3269C78CFAFED39796CD13EC8E9B0072DB2538DFFBCA05804574D9E2FF7EEB1DE219, - 0x008848DEFE740A67C8FC6225BF87FF5485951E2CAA9D41BB188282C8BD37CB5CD5481512FFCD394EEAB9B16EB21BE9EF, - ] - self.value_b = [ - 0x82A0ED372BFAB8198D0667A1DC5E299C1F6C8FEB0ACD4D05A228325117BE63EAE5BABE6807F41C6C8016BDAC251CFE, - 0x01914A69C5102EFF1F674F5D30AFEEC4BD7FB348CA3E52D96D182AD44FB82305C2FE3D3634A9591AFD82DE55559C8EA6, - ] - self.value_c = [ - 0x125E69CE765D167C0B19F8D6D6708D39C7782F33B6D320802E2FFA92BBB12DBB3897EAF9CC4CF67E487478F3C3FAD16, - 0x01AC3A384FC584EFD3E7F2C5A2927E7D454875C874A051027B9E7363D08942533EDE85DAE295D8CAB2751085206BCA76, - ] - self.value_a_jax = util.int_list_to_array( - self.value_a, base=util.BASE, array_size=util.U16_CHUNK_NUM - ) - self.value_b_jax = util.int_list_to_array( - self.value_b, base=util.BASE, array_size=util.U16_CHUNK_NUM - ) - self.value_c_jax = util.int_list_to_array( - self.value_c, base=util.BASE, array_size=util.U16_CHUNK_NUM - ) - - @absltest.skip("This test is only needed if u need to generate RNS Matrix.") - def test_generate_rns_precompute_matrix(self): - rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - rns_stack_mat = rns_mat[0] - cor_mat = rns_mat[1] - print("Printing out RNS matrix") - print("(") - for i in range(len(rns_stack_mat)): - print("(", end="") - for j in range(len(rns_stack_mat[0])): - if j == len(rns_stack_mat[0]) - 1: - print(rns_stack_mat[i][j], end="), ") - else: - print(rns_stack_mat[i][j], end=", ") - print("") - print(")") - - print("Printing out Correction matrix") - print("(") - for i in range(len(cor_mat)): - print("( ", end="") - for j in range(len(cor_mat[0])): - if j == len(cor_mat[0]) - 1: - print(cor_mat[i][j], end="), ") - else: - print(cor_mat[i][j], end=", ") - print("") - print(")") - print() - - def test_add_two(self): - result_jax = ff.add_2u16(self.value_a_jax, self.value_b_jax) - result = util.array_to_int_list(result_jax, util.BASE) - - result_ref = list_operation(self.value_a, self.value_b, lambda a, b: a + b) - - self.assertEqual(result, result_ref) - - def test_add_three(self): - result_jax = ff.add_3u16( - self.value_a_jax, self.value_b_jax, self.value_c_jax - ) - result = util.array_to_int_list(result_jax, util.BASE) - result_ref = list_operation( - list_operation(self.value_a, self.value_b, lambda a, b: a + b), - self.value_c, - lambda a, b: a + b, - ) - - self.assertEqual(result, result_ref) - - def test_cond_sub_1(self): - result_jax = ff.cond_sub_2u16(self.value_a_jax, self.value_b_jax) - result = util.array_to_int_list(result_jax, util.BASE) - - def cond_sub(a, b): - if a < b: - return a + util.MODULUS_377_INT - b - else: - return a - b - - result_ref = list_operation(self.value_a, self.value_b, cond_sub) - self.assertEqual(result, result_ref) - - def test_cond_sub_2(self): - result_jax = ff.cond_sub_2u16(self.value_b_jax, self.value_a_jax) - result = util.array_to_int_list(result_jax, util.BASE) - - def cond_sub(a, b): - if a < b: - return a + util.MODULUS_377_INT - b - else: - return a - b - - result_ref = list_operation(self.value_b, self.value_a, cond_sub) - - self.assertEqual(result, result_ref) - - def test_cond_sub_mod_1(self): - value_list = [util.MODULUS_377_INT + 123, util.MODULUS_377_INT - 5432] - value_jax = util.int_list_to_array( - value_list, base=util.BASE, array_size=util.U16_CHUNK_NUM - ) - result_jax = ff.cond_sub_mod_u16(value_jax) - result = util.array_to_int_list(result_jax, util.BASE) - - def cond_sub_mod(a): - if a < util.MODULUS_377_INT: - return a - else: - return a - util.MODULUS_377_INT - - result_ref = [cond_sub_mod(a) for a in value_list] - - self.assertEqual(result, result_ref) - - def test_mul_1(self): - result_jax = ff.mul_2u16(self.value_a_jax, self.value_b_jax) - result = util.array_to_int_list(result_jax, util.BASE) - result_ref = list_operation(self.value_a, self.value_b, lambda a, b: a * b) - self.assertEqual(result, result_ref) - - def test_mod_mul_barrett_1(self): - result_jax = ff.mod_mul_barrett_2u16(self.value_a_jax, self.value_b_jax) - result = util.array_to_int_list(result_jax, util.BASE) - - def mod_mul_barrett(a, b): - value_a_barrett = pyff.FiniteFieldElementBarrett(a, util.MODULUS_377_INT) - value_b_barrett = pyff.FiniteFieldElementBarrett(b, util.MODULUS_377_INT) - return (value_a_barrett * value_b_barrett).get_value() - - result_ref = list_operation(self.value_a, self.value_b, mod_mul_barrett) - - self.assertEqual(result, result_ref) - - def test_jax_mod_mul_lazy_reduction(self): - """This test case check the jax version (TPU deployment) of the lazy reduction based modular multiplication algorithm.""" - batch_size = 16 - a_list = [randint(0, util.MODULUS_377_INT) for _ in range(batch_size)] - b_list = [randint(0, util.MODULUS_377_INT) for _ in range(batch_size)] - - a_batch = util.int_list_to_array( - a_list, base=util.BASE, array_size=util.U16_EXT_CHUNK_NUM - ) - b_batch = util.int_list_to_array( - b_list, base=util.BASE, array_size=util.U16_EXT_CHUNK_NUM - ) - c_batch = ff.mod_mul_lazy_2u16(a_batch, b_batch) - c_list = util.array_to_int_list(c_batch, util.BASE) - for i in range(len(a_list)): - np.testing.assert_equal( - c_list[i] % util.MODULUS_377_INT, - (a_list[i] * b_list[i]) % util.MODULUS_377_INT, - ) - - def test_jax_mod_mul_rns_reduction(self): - """This test case check the jax version (TPU deployment) of the rns reduction based modular multiplication algorithm.""" - batch_size = 16 - a_list = [randint(0, util.MODULUS_377_INT) for _ in range(batch_size)] - b_list = [randint(0, util.MODULUS_377_INT) for _ in range(batch_size)] - - modulus_rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - a_batch = util.int_list_to_array_rns(a_list) - b_batch = util.int_list_to_array_rns(b_list) - c_batch = ff.mod_mul_rns_2u16(a_batch, b_batch, modulus_rns_mat) - c_list = util.array_rns_to_int_list(c_batch) - for i in range(len(a_list)): - np.testing.assert_equal( - c_list[i] % util.MODULUS_377_INT, - (a_list[i] * b_list[i]) % util.MODULUS_377_INT, - ) - - def test_jax_add_rns(self): - max_val = [2**16 - 1 for _ in range(util.NUM_MODULI)] - max_normal_val = [m - 1 for m in util.MODULI] - zero = [0 for _ in range(util.NUM_MODULI)] - values = [zero, max_val, max_normal_val] - for a in values: - for b in values: - jax_a = jnp.array(a, dtype=jnp.uint16).reshape((1, util.NUM_MODULI)) - jax_b = jnp.array(b, dtype=jnp.uint16).reshape((1, util.NUM_MODULI)) - jax_sum = ff.add_rns_2u16(jax_a, jax_b, tuple(util.RNS_MODULI_T)) - jax_3sum = ff.add_rns_3u16( - jax_a, jax_b, jax_a, tuple(util.RNS_MODULI_T) - ) - for i in range(util.NUM_MODULI): - np.testing.assert_equal( - int(jax_sum[0, i]) % util.MODULI[i], - (a[i] + b[i]) % util.MODULI[i], - ) - np.testing.assert_equal( - int(jax_3sum[0, i]) % util.MODULI[i], - (a[i] + b[i] + a[i]) % util.MODULI[i], - ) - - def test_jax_sub_rns(self): - batch_size = 16 - bound = 256 * util.NUM_MODULI * util.MODULUS_377_INT - a_list = [randint(0, bound) for _ in range(batch_size)] - b_list = [randint(0, bound) for _ in range(batch_size)] - b_list[0] = bound - 1 - a_batch = util.int_list_to_array_rns(a_list) - b_batch = util.int_list_to_array_rns(b_list) - diff = ff.add_sub_rns_var(a_batch, ff.negate_rns_for_var_add(b_batch)) - diff_int = util.array_rns_to_int_list(diff) - for i in range(batch_size): - np.testing.assert_equal( - diff_int[i] % util.MODULUS_377_INT, - (a_list[i] - b_list[i]) % util.MODULUS_377_INT, - ) - - def test_jax_add_rns_specific_case(self): - e = 149025596882241982990837486539530757729373308235078472950338530041138824139683871423246406325832428746678481926350 - h = 64504914146370186321601383206234327860947337385636434408981741341000348311615332297641759363669577422255115417749 - q = util.MODULUS_377_INT - jax_a = util.int_list_to_array_rns([e]) - jax_b = util.int_list_to_array_rns([h]) - jax_sum = ff.mod_mul_rns_2u16(jax_a, jax_b) - val_sum = util.array_rns_to_int(jax_sum[0]) - np.testing.assert_equal(val_sum % util.MODULUS_377_INT, (e * h % q)) +FF = [ + ( + "0", + [ + 0xBE4FBE5D03CE926E40E058BBDC3269C78CFAFED39796CD13EC8E9B0072DB2538DFFBCA05804574D9E2FF7EEB1DE219, + 0x008848DEFE740A67C8FC6225BF87FF5485951E2CAA9D41BB188282C8BD37CB5CD5481512FFCD394EEAB9B16EB21BE9EF, + ], + [ + 0x82A0ED372BFAB8198D0667A1DC5E299C1F6C8FEB0ACD4D05A228325117BE63EAE5BABE6807F41C6C8016BDAC251CFE, + 0x01914A69C5102EFF1F674F5D30AFEEC4BD7FB348CA3E52D96D182AD44FB82305C2FE3D3634A9591AFD82DE55559C8EA6, + ], + ), +] + + +class FiniteFieldTest(parameterized.TestCase): + + def __init__(self, *args, **kwargs): + super(FiniteFieldTest, self).__init__(*args, **kwargs) + + @parameterized.named_parameters(*FF) + def test_DRNSlazy_modular_multiply(self, value_a, value_b): + prime = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 + rns_moduli = utils.find_moduli_specified_number(32, 28) + ref_value_c = [(a * b) % prime for a, b in zip(value_a, value_b)] + + ctx = ff_context.DRNSlazyContext({ + "prime": prime, + "rns_moduli": rns_moduli, + "precision_bits": 28, + "radix_bits": 32, + }) + + value_a_m = ctx.to_computational_format(value_a) + value_b_m = ctx.to_computational_format(value_b) + value_c_m = ctx.modular_multiply(value_a_m, value_b_m) + value_c = ctx.to_original_format(value_c_m) + + np.testing.assert_array_equal(value_c, ref_value_c) + + @parameterized.named_parameters(*FF) + def test_lazy_modular_multiply(self, value_a, value_b): + prime = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 + + ref_value_c = [(a * b) % prime for a, b in zip(value_a, value_b)] + + ctx = ff_context.CROSSLazyContext({"prime": prime, "chunk_num_u8": 48}) + + value_a_m = ctx.to_computational_format(value_a) + value_b_m = ctx.to_computational_format(value_b) + value_c_m = ctx.modular_multiply(value_a_m, value_b_m) + value_c = ctx.to_original_format(value_c_m) + + np.testing.assert_array_equal(value_c, ref_value_c) if __name__ == "__main__": diff --git a/jaxite_ec/msm_test.py b/jaxite_ec/msm_test.py deleted file mode 100644 index cd78971..0000000 --- a/jaxite_ec/msm_test.py +++ /dev/null @@ -1,730 +0,0 @@ -import csv -import os -import sys - -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import pippenger -from jaxite.jaxite_ec import pippenger_rns -from jaxite.jaxite_ec import util -from jaxite.jaxite_ec.algorithm import config_file -import jaxite.jaxite_ec.algorithm.elliptic_curve as ec - -# copybara: from google3.pyglib import resources -from absl.testing import absltest -from absl.testing import parameterized - - -script_path = os.path.abspath(sys.argv[0]) -script_dir = os.path.dirname(script_path) - -jax.config.update("jax_traceback_filtering", "off") - -# Only needed when tryingt to understand the HLO dump. -os.environ["XLA_FLAGS"] = ( - "--xla_dump_to=sponge --xla_backend_optimization_level=4" -) - -TEST_PARAMS = [ - ( - "test_4_degree", - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv" - ), - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t4/zprize_msm_curve_377_bases_dim_4_seed_0.csv" - ), - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t4/zprize_msm_curve_377_res_dim_4_seed_0.csv" - ), - ), - ( - "test_1024_degree", - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t1024/zprize_msm_curve_377_scalars_dim_1024_seed_0.csv" - ), - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t1024/zprize_msm_curve_377_bases_dim_1024_seed_0.csv" - ), - os.path.join(os.path.dirname(os.path.abspath(sys.argv[0])), - f"{script_dir}/jaxite_ec/test_case/t1024/zprize_msm_curve_377_res_dim_1024_seed_0.csv" - ), - ), -] - - -def twist_coordinates_list(ec_config, coordinates_list): - twisted_ec_sys = ec.ECCSTwistedEdwardsExtended(ec_config) - twisted_coordinates_list = [] - untwisted_coordinates_indeices = [] - for i, coordinates in enumerate(coordinates_list): - twisted_coordinates = twisted_ec_sys.twist_int_coordinates(coordinates) - twisted_coordinates_list.append(twisted_coordinates) - if twisted_coordinates == [0, 1, 1, 0]: - untwisted_coordinates_indeices.append(i) - return twisted_coordinates_list, untwisted_coordinates_indeices - - -class MSMTest(parameterized.TestCase): - def read_external_file(self, scalar_path, base_path, result_path): - scalars = [] - with open( - scalar_path, "r", newline="", encoding="utf-8" - ) as csvfile: # Handle potential encoding issues - csv_reader = csv.reader(csvfile) - for row in csv_reader: - scalars.append(int(row[-1][13:-2], 16)) - - points = [] - with open( - base_path, "r", newline="", encoding="utf-8" - ) as csvfile: # Handle potential encoding issues - csv_reader = csv.reader(csvfile) - for row in csv_reader: - points.append([int(row[8][13:-2], 16), int(row[-1][13:-2], 16)]) - - result_ref = [] - with open( - result_path, "r", newline="", encoding="utf-8" - ) as csvfile: # Handle potential encoding issues - csv_reader = csv.reader(csvfile) - for row in csv_reader: - result_ref.append(int(row[7][13:-2], 16)) - result_ref.append(int(row[-1][13:-2], 16)) - return scalars, points, result_ref - - @parameterized.named_parameters(*TEST_PARAMS) - def test_pippenger_index_selection(self, scalar_path, base_path, result_path): - """Normal version Pippenger.""" - scalars, points, result_ref = self.read_external_file( - scalar_path, base_path, result_path - ) - slice_length = 4 - msm_algo = pippenger.MSMPippenger(slice_length) - msm_algo.initialize(scalars, points) - - window_num = msm_algo.window_num - bucket_num_per_window = msm_algo.bucket_num_per_window - msm_length = msm_algo.msm_length - coordinate_num = msm_algo.coordinate_num - chunk_num = util.U16_EXT_CHUNK_NUM - - bucket_accumulation_index_scan_jit = ( - jax.jit( - pippenger.bucket_accumulation_index_scan_algorithm, - static_argnames="msm_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, bucket_num_per_window, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (msm_length, coordinate_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct((msm_length, window_num), dtype=jnp.uint32), - jax.ShapeDtypeStruct( - (msm_length, window_num, bucket_num_per_window), dtype=jnp.uint8 - ), - msm_length, - ) - .compile() - ) - - bucket_reduction_scan_jit = ( - jax.jit( - pippenger.bucket_reduction_scan_algorithm, - static_argnames="bucket_num_in_window", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, bucket_num_per_window, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (bucket_num_per_window, window_num), dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (bucket_num_per_window, window_num), dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - ( - bucket_num_per_window, - window_num, - ), - dtype=jnp.uint8, - ), - bucket_num_per_window, - ) - .compile() - ) - - window_merge_scan_jit = ( - jax.jit( - pippenger.window_merge_scan_algorithm, - static_argnames="slice_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - slice_length, - ) - .compile() - ) - - msm_algo.bucket_accumulation(bucket_accumulation_index_scan_jit) - msm_algo.bucket_reduction(bucket_reduction_scan_jit) - result = msm_algo.window_merge(window_merge_scan_jit) - result = util.jax_point_pack_to_int_point(result) - ec_sys = ec.ECCSWeierstrassXYZZ(config_file.config_BLS12_377) - result_affine_point = ec_sys.generate_point(result).convert_to_affine() - coordinates = ( - result_affine_point[0].get_value(), - result_affine_point[1].get_value(), - ) - self.assertEqual(coordinates[0], result_ref[0]) - self.assertEqual(coordinates[1], result_ref[1]) - - # performance measurement - tasks = [ - (msm_algo.bucket_accumulation, (bucket_accumulation_index_scan_jit,)), - (msm_algo.bucket_reduction, (bucket_reduction_scan_jit,)), - (msm_algo.window_merge, (window_merge_scan_jit,)), - ] - profile_name = "normal_pippenger_index_selection" - # copybara: util.profile_jax_functions(tasks, profile_name) - - @parameterized.named_parameters(*TEST_PARAMS) - def test_pippenger_index_selection_twisted_edwards( - self, scalar_path, base_path, result_path - ): - scalars, points, result_ref = self.read_external_file( - scalar_path, base_path, result_path - ) - twisted_points, untwisted_coordinates_indeices = twist_coordinates_list( - config_file.config_BLS12_377_t, points - ) - assert not untwisted_coordinates_indeices - slice_length = 4 - parallel_num = 4 - msm_algo = pippenger.MSMPippengerTwisted(slice_length, parallel_num) - msm_algo.initialize(scalars, twisted_points) - - window_num = msm_algo.window_num - bucket_num_per_window = msm_algo.bucket_num_per_window - msm_length = msm_algo.msm_length - coordinate_num = msm_algo.coordinate_num - chunk_num = util.U16_EXT_CHUNK_NUM - - batch_window_num = window_num * parallel_num - batch_mem_length = msm_length // parallel_num - - bucket_accumulation_index_scan_jit = ( - jax.jit( - pippenger.bucket_accumulation_index_scan_parallel_algorithm_twisted, - static_argnames="msm_length", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, coordinate_num, parallel_num, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, batch_window_num), dtype=jnp.uint32 - ), - batch_mem_length, - ) - .compile() - ) - - bucket_reduction_scan_jit = ( - jax.jit( - pippenger.bucket_reduction_scan_algorithm_twisted, - static_argnames="bucket_num_in_window", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - bucket_num_per_window, - ) - .compile() - ) - - batch_window_summation_jit = ( - jax.jit( - pippenger.batch_window_summation_algorithm_twisted, - static_argnames="point_parallel", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - parallel_num, - ) - .compile() - ) - - window_merge_scan_jit = ( - jax.jit( - pippenger.window_merge_scan_algorithm_twisted, - static_argnames="slice_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - slice_length, - ) - .compile() - ) - - # HERE - msm_algo.bucket_accumulation(bucket_accumulation_index_scan_jit) - msm_algo.bucket_reduction(bucket_reduction_scan_jit) - msm_algo.batch_window_summation(batch_window_summation_jit) - result = msm_algo.window_merge(window_merge_scan_jit) - result = util.jax_point_pack_to_int_point(result) - # TO HERE - ec_sys = ec.ECCSTwistedEdwardsExtended(config_file.config_BLS12_377_t) - result_affine_point = ec_sys.generate_point( - result, twist=False - ).convert_to_affine() - coordinates = ( - result_affine_point[0].get_value(), - result_affine_point[1].get_value(), - ) - self.assertEqual(coordinates[0], result_ref[0]) - self.assertEqual(coordinates[1], result_ref[1]) - - # performance measurement - tasks = [ - (msm_algo.bucket_accumulation, (bucket_accumulation_index_scan_jit,)), - (msm_algo.bucket_reduction, (bucket_reduction_scan_jit,)), - (msm_algo.batch_window_summation, (batch_window_summation_jit,)), - (msm_algo.window_merge, (window_merge_scan_jit,)), - ] - profile_name = "pippenger_index_selection_twisted_edwards" - # copybara: util.profile_jax_functions(tasks, profile_name) - - @parameterized.named_parameters(*TEST_PARAMS) - def test_pippenger_signed_index_selection_twisted_edwards( - self, scalar_path, base_path, result_path - ): - scalars, points, result_ref = self.read_external_file( - scalar_path, base_path, result_path - ) - twisted_points, untwisted_coordinates_indeices = twist_coordinates_list( - config_file.config_BLS12_377_t, points - ) - assert not untwisted_coordinates_indeices - slice_length = 4 - parallel_num = 4 - msm_algo = pippenger.MSMPippengerTwistedSigned(slice_length, parallel_num) - msm_algo.initialize(scalars, twisted_points) - - window_num = msm_algo.window_num - bucket_num_per_window = msm_algo.bucket_num_per_window - msm_length = msm_algo.msm_length - coordinate_num = msm_algo.coordinate_num - chunk_num = util.U16_EXT_CHUNK_NUM - - batch_window_num = window_num * parallel_num - batch_mem_length = msm_length // parallel_num - - bucket_accumulation_index_scan_jit = ( - jax.jit( - pippenger.bucket_accumulation_signed_index_scan_parallel_algorithm_twisted, - static_argnames="msm_length", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, coordinate_num, parallel_num, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, batch_window_num), dtype=jnp.uint32 - ), - jax.ShapeDtypeStruct( - (batch_mem_length, batch_window_num), dtype=jnp.uint8 - ), - batch_mem_length, - ) - .compile() - ) - - bucket_reduction_scan_jit = ( - jax.jit( - pippenger.bucket_reduction_scan_algorithm_twisted, - static_argnames="bucket_num_in_window", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - bucket_num_per_window, - ) - .compile() - ) - - batch_window_summation_jit = ( - jax.jit( - pippenger.batch_window_summation_algorithm_twisted, - static_argnames="point_parallel", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - parallel_num, - ) - .compile() - ) - - window_merge_scan_jit = ( - jax.jit( - pippenger.window_merge_scan_algorithm_twisted, - static_argnames="slice_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - slice_length, - ) - .compile() - ) - - # HERE - msm_algo.bucket_accumulation(bucket_accumulation_index_scan_jit) - msm_algo.bucket_reduction(bucket_reduction_scan_jit) - msm_algo.batch_window_summation(batch_window_summation_jit) - result = msm_algo.window_merge(window_merge_scan_jit) - result = util.jax_point_pack_to_int_point(result) - # TO HERE - ec_sys = ec.ECCSTwistedEdwardsExtended(config_file.config_BLS12_377_t) - result_affine_point = ec_sys.generate_point( - result, twist=False - ).convert_to_affine() - coordinates = ( - result_affine_point[0].get_value(), - result_affine_point[1].get_value(), - ) - self.assertEqual(coordinates[0], result_ref[0]) - self.assertEqual(coordinates[1], result_ref[1]) - - # performance measurement - tasks = [ - (msm_algo.bucket_accumulation, (bucket_accumulation_index_scan_jit,)), - (msm_algo.bucket_reduction, (bucket_reduction_scan_jit,)), - (msm_algo.batch_window_summation, (batch_window_summation_jit,)), - (msm_algo.window_merge, (window_merge_scan_jit,)), - ] - profile_name = "pippenger_signed_index_selection_twisted_edwards" - # copybara: util.profile_jax_functions(tasks, profile_name) - - # @absltest.skip("test pass") - @parameterized.named_parameters(*TEST_PARAMS) - def test_pippenger_index_rns_selection( - self, scalar_path, base_path, result_path - ): - """RNS version Pippenger - XYZZ.""" - scalars, points, result_ref = self.read_external_file( - scalar_path, base_path, result_path - ) - slice_length = 4 - msm_algo = pippenger_rns.MSMPippenger(slice_length) - msm_algo.initialize(scalars, points) - - window_num = msm_algo.window_num - bucket_num_per_window = msm_algo.bucket_num_per_window - msm_length = msm_algo.msm_length - coordinate_num = msm_algo.coordinate_num - chunk_num = util.NUM_MODULI - - bucket_accumulation_index_scan_jit = ( - jax.jit( - pippenger_rns.bucket_accumulation_index_scan_algorithm, - static_argnames="msm_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, bucket_num_per_window, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (msm_length, coordinate_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct((msm_length, window_num), dtype=jnp.uint32), - jax.ShapeDtypeStruct( - (msm_length, window_num, bucket_num_per_window), dtype=jnp.uint8 - ), - msm_length, - ) - .compile() - ) - - bucket_reduction_scan_jit = ( - jax.jit( - pippenger_rns.bucket_reduction_scan_algorithm, - static_argnames="bucket_num_in_window", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, bucket_num_per_window, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (bucket_num_per_window, window_num), dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (bucket_num_per_window, window_num), dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (bucket_num_per_window, window_num), dtype=jnp.uint8 - ), - bucket_num_per_window, - ) - .compile() - ) - - window_merge_scan_jit = ( - jax.jit( - pippenger_rns.window_merge_scan_algorithm, - static_argnames="slice_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - slice_length, - ) - .compile() - ) - - # HERE - msm_algo.bucket_accumulation(bucket_accumulation_index_scan_jit) - msm_algo.bucket_reduction(bucket_reduction_scan_jit) - result = msm_algo.window_merge(window_merge_scan_jit) - result = util.jax_rns_point_pack_to_int_point(result) - # TO HERE - ec_sys = ec.ECCSWeierstrassXYZZ(config_file.config_BLS12_377) - result_affine_point = ec_sys.generate_point(result).convert_to_affine() - coordinates = ( - result_affine_point[0].get_value(), - result_affine_point[1].get_value(), - ) - self.assertEqual(coordinates[0], result_ref[0]) - self.assertEqual(coordinates[1], result_ref[1]) - - # performance measurement - tasks = [ - (msm_algo.bucket_accumulation, (bucket_accumulation_index_scan_jit,)), - (msm_algo.bucket_reduction, (bucket_reduction_scan_jit,)), - (msm_algo.window_merge, (window_merge_scan_jit,)), - ] - profile_name = "pippenger_index_rns_selection" - # copybara: util.profile_jax_functions(tasks, profile_name) - - # @absltest.skip("has some bug in result") - @parameterized.named_parameters(*TEST_PARAMS) - def test_pippenger_index_selection_rns_twisted_edwards( - self, scalar_path, base_path, result_path - ): - scalars, points, result_ref = self.read_external_file( - scalar_path, base_path, result_path - ) - twisted_points, untwisted_coordinates_indeices = twist_coordinates_list( - config_file.config_BLS12_377_t, points - ) - assert not untwisted_coordinates_indeices - slice_length = 4 - parallel_num = 4 - msm_algo = pippenger_rns.MSMPippengerTwisted(slice_length, parallel_num) - msm_algo.initialize(scalars, twisted_points) - - window_num = msm_algo.window_num - bucket_num_per_window = msm_algo.bucket_num_per_window - msm_length = msm_algo.msm_length - coordinate_num = msm_algo.coordinate_num - chunk_num = util.NUM_MODULI - - batch_window_num = window_num * parallel_num - batch_mem_length = msm_length // parallel_num - - bucket_accumulation_index_scan_jit = ( - jax.jit( - pippenger_rns.bucket_accumulation_index_scan_parallel_algorithm_twisted, - static_argnames="msm_length", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, coordinate_num, parallel_num, chunk_num), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (batch_mem_length, batch_window_num), dtype=jnp.uint32 - ), - batch_mem_length, - ) - .compile() - ) - - bucket_reduction_scan_jit = ( - jax.jit( - pippenger_rns.bucket_reduction_scan_algorithm_twisted, - static_argnames="bucket_num_in_window", - ) - .lower( - jax.ShapeDtypeStruct( - ( - coordinate_num, - batch_window_num, - bucket_num_per_window, - chunk_num, - ), - dtype=jnp.uint16, - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - bucket_num_per_window, - ) - .compile() - ) - - batch_window_summation_jit = ( - jax.jit( - pippenger_rns.batch_window_summation_algorithm_twisted, - static_argnames="point_parallel", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (coordinate_num, batch_window_num, chunk_num), dtype=jnp.uint16 - ), - parallel_num, - ) - .compile() - ) - - window_merge_scan_jit = ( - jax.jit( - pippenger_rns.window_merge_scan_algorithm_twisted, - static_argnames="slice_length", - ) - .lower( - jax.ShapeDtypeStruct( - (coordinate_num, window_num, chunk_num), dtype=jnp.uint16 - ), - slice_length, - ) - .compile() - ) - - # HERE - msm_algo.bucket_accumulation(bucket_accumulation_index_scan_jit) - msm_algo.bucket_reduction(bucket_reduction_scan_jit) - msm_algo.batch_window_summation(batch_window_summation_jit) - result = msm_algo.window_merge(window_merge_scan_jit) - result = util.jax_rns_point_pack_to_int_point(result) - # TO HERE - ec_sys = ec.ECCSTwistedEdwardsExtended(config_file.config_BLS12_377_t) - result_affine_point = ec_sys.generate_point( - result, twist=False - ).convert_to_affine() - coordinates = ( - result_affine_point[0].get_value() % util.MODULUS_377_INT, - result_affine_point[1].get_value() % util.MODULUS_377_INT, - ) - self.assertEqual(coordinates[0], result_ref[0]) - self.assertEqual(coordinates[1], result_ref[1]) - - # performance measurement - tasks = [ - (msm_algo.bucket_accumulation, (bucket_accumulation_index_scan_jit,)), - (msm_algo.bucket_reduction, (bucket_reduction_scan_jit,)), - (msm_algo.batch_window_summation, (batch_window_summation_jit,)), - (msm_algo.window_merge, (window_merge_scan_jit,)), - ] - profile_name = "pippenger_index_selection_rns_twisted_edwards" - # copybara: util.profile_jax_functions(tasks, profile_name) - - -if __name__ == "__main__": - absltest.main() diff --git a/jaxite_ec/multiscalar_multiplication_context.py b/jaxite_ec/multiscalar_multiplication_context.py new file mode 100644 index 0000000..a78252e --- /dev/null +++ b/jaxite_ec/multiscalar_multiplication_context.py @@ -0,0 +1,2772 @@ +from abc import ABC, abstractmethod +import ctypes +import math +import random +from typing import Any, Optional +import warnings +import jax +import jax.ffi as ffi +import jax.numpy as jnp +from jaxite.jaxite_ec.c_kernels.build import ensure_distribution_kernel +from jaxite.jaxite_ec.elliptic_curve_context import EllipticCurveContextBase +import jaxite.jaxite_ec.utils as utils +from jaxite.jaxite_ec.utils import JaxKernelContextBase, hash_args, jax_jit_lower_compile, load_jax_executable, store_jax_executable +import numpy as np + +jax.config.update("jax_enable_x64", True) + + +class MultiscalarMultiplicationContextBase(ABC): + + def __init__(self, parameters: dict): + self.parameters = parameters + self.ec_ctx_class = parameters.get("elliptic_curve_context_class", None) + assert ( + self.ec_ctx_class is not None + ), "elliptic_curve_context_class must be provided" + self.ec_ctx: EllipticCurveContextBase = self.ec_ctx_class( + parameters.get("elliptic_curve_parameters", {}) + ) + + def _padd(self, a: jnp.ndarray, b: jnp.ndarray) -> jnp.ndarray: + return self.ec_ctx.point_add(a, b) + + @abstractmethod + def to_computational_format(self, a: Any) -> Any: + pass + + @abstractmethod + def to_original_format(self, a: Any) -> Any: + pass + + @abstractmethod + def multiscalar_multiply(self, tiled_slices: jnp.ndarray): + pass + + +class CPUDistributionMSMContextBase(MultiscalarMultiplicationContextBase): + + def __init__(self, parameters: dict): + super().__init__(parameters) + self.scalar_bits = 0 + self.slice_bits = 0 + self.tile_length = 0 + self._init_config_parameters() + self._init_jax_data() + self._init_cpu_kernels() + self._init_point_parameters() + + def _init_config_parameters(self): + pass + + def _init_jax_data(self): + pass + + def _init_cpu_kernels(self): + pass + + def _init_point_parameters(self): + raw_points = utils.read_external_msm_file( + self.parameters.get("points_path"), "points" + ) + with jax.default_device(jax.devices("cpu")[0]): + points = self.ec_ctx.to_computational_format(raw_points).to_device( + jax.devices("cpu")[0] + ) + self.points = points.transpose(1, 0, 2) + + def _preprocess_scalars(self, scalars: list): + tiled_scalar_list = utils.split_list(scalars, self.tile_length) + tiled_slices_list = [] + for tiled_scalars in tiled_scalar_list: + sliced_scalars = utils.slice_scalars( + tiled_scalars, self.scalar_bits, self.slice_bits + ) + tiled_slices_list.append(sliced_scalars) + + with jax.default_device(jax.devices("cpu")[0]): + tiled_slices_list = jnp.array(tiled_slices_list, dtype=jnp.int32) + return tiled_slices_list + + +class OldCPUDistributionMSMContext(CPUDistributionMSMContextBase): + + def __init__(self, parameters: dict): + CPUDistributionMSMContextBase.__init__(self, parameters) + + def _init_config_parameters(self): + self.coordinate_dim = self.parameters.get("coordinate_dim", 4) + self.msm_length = self.parameters.get("msm_length") + self.tile_length = self.parameters.get("tile_length") + assert ( + self.msm_length % self.tile_length == 0 + ), "msm_length must be divisible by tile_length" + self.tile_num = self.msm_length // self.tile_length + self.slice_bits = self.parameters.get("slice_bits") + self.scalar_bits = self.parameters.get("scalar_bits") + self.order = self.parameters.get("order") + self.window_num = int(math.ceil(self.scalar_bits / self.slice_bits)) # + self.batch_window_num = self.window_num + self.bucket_num_per_window = ( + 2**self.slice_bits - 1 + ) # Note: here remove the bucket_0 + self.bucket_num_last_window = self.order >> ( + (self.window_num - 1) * self.slice_bits + ) + self.moduli_num = self.ec_ctx.get_finite_field_context().get_moduli_num() + + # Special bucket optimization + self.log_special_duplication_ratio = math.ceil( + math.log2(self.bucket_num_per_window / self.bucket_num_last_window) + ) + self.special_duplication_ratio = 2**self.log_special_duplication_ratio + self.bucket_num_duplication = ( + self.bucket_num_last_window * self.special_duplication_ratio + ) + + def _init_jax_data(self): + self.zero_point = ( + self.ec_ctx.get_finite_field_context().to_computational_format( + self.ec_ctx.zero_point + ) + ) + self.all_buckets = jnp.broadcast_to( + self.zero_point.reshape(1, self.coordinate_dim, 1, self.moduli_num), + ( + self.batch_window_num, + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ), + ) + self.temp_sum = jnp.array( + [self.zero_point for _ in range(self.batch_window_num)] + ).transpose(1, 0, 2) + self.window_sum = jnp.array( + [self.zero_point for _ in range(self.batch_window_num)] + ).transpose(1, 0, 2) + + def _init_cpu_kernels(self): + expected_regular_bucket_size = self.tile_length / ( + self.bucket_num_per_window + 1 + ) + expected_special_bucket_size = math.ceil( + self.tile_length / self.bucket_num_duplication + ) + # print("expected_regular_bucket_size", expected_regular_bucket_size) + # print("expected_special_bucket_size", expected_special_bucket_size) + self.expend_ratio = self.parameters["c_kernel_ret_space_ratio"] + self.c_kernel_regular_bucket_size = int( + expected_regular_bucket_size * self.expend_ratio + ) + self.c_kernel_special_bucket_size = int( + expected_special_bucket_size * self.expend_ratio + ) + + regular_shape = ( + self.window_num - 1, + self.bucket_num_per_window, + self.c_kernel_regular_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + + special_shape = ( + self.bucket_num_last_window, + self.special_duplication_ratio, + self.c_kernel_special_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + self.ba_input_regular_shape = regular_shape + self.ba_input_special_shape = special_shape + + lib = ctypes.cdll.LoadLibrary(ensure_distribution_kernel()) + jax.ffi.register_ffi_target( + "distribute_buf", jax.ffi.pycapsule(lib.DistributeBuf), platform="cpu" + ) + self.distribution_buf_c_kernel_call = ffi.ffi_call( + "distribute_buf", + ( + jax.ShapeDtypeStruct(regular_shape, jnp.uint32), + jax.ShapeDtypeStruct(special_shape, jnp.uint32), + jax.ShapeDtypeStruct((2,), jnp.uint32), + ), + ) + + def _bucket_accumulation_per_window( + self, buckets: jnp.ndarray, window_points: jnp.ndarray + ) -> jnp.ndarray: + """Accumulate points within buckets for a single window. + + Args: + buckets: Initial bucket values (coordinate_dim, bucket_dim, + precision_dim). + window_points: Points to accumulate (bucket_size_dim, coordinate_dim, + bucket_dim, precision_dim). + parameters: Computation parameters. + + Returns: + Accumulated bucket values. + """ + bucket_size_dim = window_points.shape[0] + + def scan_body(buckets, points): + buckets = self._padd(buckets, points) + return buckets, None + + buckets, _ = jax.lax.scan( + scan_body, buckets, window_points, length=bucket_size_dim + ) + return buckets + + def _bucket_accumulation_regular_windows( + self, + regular_buckets: jnp.ndarray, + all_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for all regular windows. + + Args: + regular_buckets: Initial bucket values (window_dim, coordinate_dim, + bucket_dim, precision_dim). + all_points: Points for all windows (window_dim, bucket_size_dim, + coordinate_dim, bucket_dim, precision_dim). + + Returns: + Accumulated bucket values for all regular windows. + """ + window_dim = regular_buckets.shape[0] + + def scan_body(empty, window_bucket_point_pack): + window_buckets, points = window_bucket_point_pack + buckets = self._bucket_accumulation_per_window(window_buckets, points) + return None, buckets + + _, buckets = jax.lax.scan( + scan_body, None, (regular_buckets, all_points), length=window_dim + ) + return buckets + + def _bucket_accumulation_last_window( + self, + buckets_in: jnp.ndarray, + window_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for the last (special) window with duplication handling. + + Args: + buckets_in: Initial bucket values (coordinate_dim, bucket_dim, + precision_dim). + window_points: Points with duplication (bucket_size_dim, coordinate_dim, + bucket_dup_dim, bucket_dim, precision_dim). + parameters: Computation parameters. + + Returns: + Accumulated bucket values. + """ + coordinate_dim, buckets_dim, precision_dim = buckets_in.shape + bucket_size_dim, _, bucket_dup_dim, _, _ = window_points.shape + + # Reshape for processing + window_points = window_points.reshape( + bucket_size_dim, coordinate_dim, -1, precision_dim + ) + base_dup_buckets = window_points[0] + + def scan_body(buckets, points): + buckets = self._padd(buckets, points) + return buckets, None + + dup_buckets, _ = jax.lax.scan( + scan_body, + base_dup_buckets, + window_points[1:], + length=bucket_size_dim - 1, + ) + + # Reduce duplicated buckets using tree reduction + log_bucket_dup_dim = int(math.log2(bucket_dup_dim)) + for _ in range(log_bucket_dup_dim): + buckets_split = jnp.split(dup_buckets, 2, axis=1) + dup_buckets = self._padd(buckets_split[0], buckets_split[1]) + + # Add to input buckets + buckets_in = self._padd(buckets_in, dup_buckets) + return buckets_in + + def _bucket_accumulation_all_windows( + self, + all_buckets: jnp.ndarray, + regular_points: jnp.ndarray, + last_window_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for all windows with distributed optimization. + + This is the main bucket accumulation kernel that handles both regular + windows and the special last window with duplication optimization. + + Args: + all_buckets: Initial bucket values (window_dim, coordinate_dim, + bucket_dim, precision_dim). + regular_points: Points for regular windows (window_dim-1, bucket_num, + bucket_size, coord_dim, prec_dim). + last_window_points: Points for last window (bucket_num, dup_ratio, + bucket_size, coord_dim, prec_dim). + parameters: Computation parameters. + + Returns: + Accumulated bucket values for all windows. + """ + # Transpose for computation + regular_points = regular_points.transpose(0, 2, 3, 1, 4) + last_window_points = last_window_points.transpose(2, 3, 1, 0, 4) + + window_dim, coordinate_dim, buckets_dim, precision_dim = all_buckets.shape + _, _, last_window_bucket_dup, last_window_bucket_dim, _ = ( + last_window_points.shape + ) + + # Process regular windows + regular_buckets = all_buckets[: window_dim - 1] + regular_buckets = self._bucket_accumulation_regular_windows( + regular_buckets, regular_points + ) + + # Process last window + last_point_buckets = all_buckets[ + window_dim - 1, :, :last_window_bucket_dim, : + ] + last_blank_buckets = all_buckets[ + window_dim - 1, :, last_window_bucket_dim:, : + ] + last_point_buckets = self._bucket_accumulation_last_window( + last_point_buckets, last_window_points + ) + + # Combine last window buckets + last_buckets = jax.lax.broadcast( + jnp.concatenate((last_point_buckets, last_blank_buckets), axis=1), (1,) + ) + + # Combine all buckets + all_buckets = jnp.concatenate((regular_buckets, last_buckets), axis=0) + return all_buckets + + def _bucket_reduction( + self, + all_buckets: jnp.ndarray, + temp_sum: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + """Reduce buckets to window sums using scan algorithm. + + Implements the bucket reduction phase of Pippenger's algorithm using + a scan-based approach for efficiency. + + Args: + all_buckets: Bucket values (window_dim, coordinate_dim, bucket_dim, + precision_dim). + temp_sum: Temporary sum array (coordinate_dim, window_dim, + precision_dim). + window_sum: Initial window sum (coordinate_dim, window_dim, + precision_dim). + bucket_num_in_window: Number of buckets per window. + parameters: Computation parameters. + + Returns: + Window sums (coordinate_dim, window_dim, precision_dim). + """ + # Transpose for scan + bucket_num_in_window = all_buckets.shape[2] + all_buckets = all_buckets.transpose(2, 1, 0, 3) + + def scan_body(temp_and_window_sum_pack, buckets): + temp_sum, window_sum = temp_and_window_sum_pack + temp_sum = self._padd(temp_sum, buckets) + window_sum = self._padd(window_sum, temp_sum) + return (temp_sum, window_sum), None + + (_, window_sum), _ = jax.lax.scan( + scan_body, + (temp_sum, window_sum), + all_buckets[:bucket_num_in_window], + length=bucket_num_in_window, + reverse=True, + ) + return window_sum + + def _window_merge(self, window_sum: jnp.ndarray) -> jnp.ndarray: + """Merge window results into final MSM result using scan algorithm. + + Implements the window merging phase of Pippenger's algorithm. + + Args: + window_sum: Window sums (coordinate_dim, window_dim, precision_dim). + slice_length: Bit width of each window. + parameters: Computation parameters. + + Returns: + Final MSM result (coordinate_dim, precision_dim). + """ + coordinate_dim, window_dim, precision_dim = window_sum.shape + window_sum = window_sum.transpose(1, 0, 2).reshape( + (window_dim, coordinate_dim, 1, precision_dim) + ) + result = window_sum[window_dim - 1] + + def fori_loop_body(i, result): + result = self._padd(result, result) + return result + + def scan_body(result, window_sum): + result = jax.lax.fori_loop(0, self.slice_bits, fori_loop_body, result) + result = self._padd(result, window_sum) + return result, None + + result, _ = jax.lax.scan( + scan_body, + result, + window_sum[: window_dim - 1], + reverse=True, + length=window_dim - 1, + ) + result = result.reshape((coordinate_dim, precision_dim)) + return result + + def distribute_buckets( + self, tiled_slices: jnp.ndarray, tiled_points: jnp.ndarray + ) -> tuple[jnp.ndarray, jnp.ndarray]: + with jax.default_device(jax.devices("cpu")[0]): + tiled_slices = jax.device_put(tiled_slices, jax.devices("cpu")[0]) + tiled_points = jax.device_put(tiled_points, jax.devices("cpu")[0]) + zero_point = jax.device_put(self.zero_point, jax.devices("cpu")[0]) + regular_buckets, last_window_buckets, metadata = ( + self.distribution_buf_c_kernel_call( + tiled_slices, + tiled_points, + zero_point, + window_num=np.uint32(self.window_num), + regular_bucket_num=np.uint32(self.bucket_num_per_window), + special_bucket_num=np.uint32(self.bucket_num_last_window), + msm_length=np.uint32(self.tile_length), + fixed_regular_padding_size=np.uint32( + self.c_kernel_regular_bucket_size + ), + fixed_special_padding_size=np.uint32( + self.c_kernel_special_bucket_size + * self.special_duplication_ratio + ), + ) + ) + return regular_buckets, last_window_buckets + + def multiscalar_multiply(self, tiled_slices: jnp.ndarray): + + for tile_index in range(self.tile_num): + idx_start = tile_index * self.tile_length + idx_end = idx_start + self.tile_length + tiled_slices_tile = tiled_slices[tile_index] + tiled_points_tile = self.points[idx_start:idx_end] + regular_buckets, last_window_buckets = self.distribute_buckets( + tiled_slices_tile, tiled_points_tile + ) + regular_buckets = jax.device_put(regular_buckets, jax.devices()[0]) + last_window_buckets = jax.device_put( + last_window_buckets, jax.devices()[0] + ) + self.all_buckets = self._bucket_accumulation_all_windows( + self.all_buckets, regular_buckets, last_window_buckets + ) + + window_sum = self._bucket_reduction( + self.all_buckets, self.temp_sum, self.window_sum + ) + result = self._window_merge(window_sum) + return result + + def to_original_format(self, a: jnp.ndarray) -> list: + return self.ec_ctx.to_original_format(a) + + def to_computational_format(self, scalars: list) -> jnp.ndarray: + tiled_slices = self._preprocess_scalars(scalars) + return tiled_slices + + +class CPUDistributionMSMContext( + OldCPUDistributionMSMContext, JaxKernelContextBase +): + + def __init__(self, parameters: dict): + super().__init__(parameters) + JaxKernelContextBase.__init__(self) + + def _init_config_parameters(self): + self.coordinate_dim = self.parameters.get("coordinate_dim", 4) + self.msm_length = self.parameters.get("msm_length") + self.tile_length = self.parameters.get("tile_length") + assert ( + self.msm_length % self.tile_length == 0 + ), "msm_length must be divisible by tile_length" + self.tile_num = self.msm_length // self.tile_length + self.slice_bits = self.parameters.get("slice_bits") + self.scalar_bits = self.parameters.get("scalar_bits") + self.order = self.parameters.get("order") + self.window_num = int(math.ceil(self.scalar_bits / self.slice_bits)) # + self.batch_window_num = self.window_num + self.bucket_num_per_window = 2**self.slice_bits # Note: Include Bucket 0 + orig_bucket_num_last_window = ( + self.order >> ((self.window_num - 1) * self.slice_bits) + ) + 1 # Note: Include Bucket 0 + # Now pad to nearest value so bucket_num_last_window % 8 == 0 + added_padding = (8 - orig_bucket_num_last_window % 8) % 8 + if added_padding > 0: + if added_padding / orig_bucket_num_last_window > 0.1: + print( + f"[bucket_num_last_window] Added {added_padding} to make it" + " divisible by 8, but it is too large for" + f" {orig_bucket_num_last_window}. Setting to 0." + ) + added_padding = 0 + else: + print( + f"[bucket_num_last_window] Was {orig_bucket_num_last_window}, " + f"added {added_padding} to make it divisible by 8" + ) + self.bucket_num_last_window = orig_bucket_num_last_window + added_padding + self.moduli_num = self.ec_ctx.get_finite_field_context().get_moduli_num() + + # Special bucket optimization + self.log_special_duplication_ratio = math.ceil( + math.log2(self.bucket_num_per_window / self.bucket_num_last_window) + ) + self.special_duplication_ratio = 2**self.log_special_duplication_ratio + self.bucket_num_duplication = ( + self.bucket_num_last_window * self.special_duplication_ratio + ) + + def _init_jax_data(self): + self.zero_point = ( + self.ec_ctx.get_finite_field_context().to_computational_format( + self.ec_ctx.zero_point + ) + ) + self.all_buckets = jnp.broadcast_to( + self.zero_point.reshape(1, self.coordinate_dim, 1, self.moduli_num), + ( + self.batch_window_num, + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ), + ) + self.temp_sum = jnp.array( + [self.zero_point for _ in range(self.batch_window_num)] + ).transpose(1, 0, 2) + self.window_sum = jnp.array( + [self.zero_point for _ in range(self.batch_window_num)] + ).transpose(1, 0, 2) + self.window_sum = jnp.broadcast_to( + self.window_sum.reshape( + self.coordinate_dim, 1, self.batch_window_num, self.moduli_num + ), + ( + self.coordinate_dim, + self.bucket_num_per_window, + self.batch_window_num, + self.moduli_num, + ), + ) + + # Pre-store shardings for bucket accumulation inputs + self.ba_all_buckets_sharding = None + self.ba_regular_points_sharding = None + self.ba_special_points_sharding = None + # Pre-store shardings for bucket reduction inputs + self.br_all_buckets_sharding = None + self.br_window_sum_sharding = None + # Pre-store shardings for window merge input + self.wm_window_sum_sharding = None + + def _init_shardings(self): + """Pre-compute and store all shardings for compiled/sharded execution.""" + all_buckets_shape = ( + self.batch_window_num, + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ) + regular_points_shape = self.ba_input_regular_shape + special_points_shape = self.ba_input_special_shape + window_sum_shape = ( + self.coordinate_dim, + self.bucket_num_per_window, + self.batch_window_num, + self.moduli_num, + ) + wm_window_sum_shape = ( + self.coordinate_dim, + self.batch_window_num, + self.moduli_num, + ) + + # Bucket accumulation shardings + self.ba_all_buckets_sharding, _ = self.create_named_sharding( + shape=all_buckets_shape, axes=[2] + ) + self.ba_regular_points_sharding, _ = self.create_named_sharding( + shape=regular_points_shape, axes=[1] + ) + self.ba_special_points_sharding, _ = self.create_named_sharding( + shape=special_points_shape, axes=[0, 1] + ) + # Bucket reduction shardings + self.br_all_buckets_sharding, _ = self.create_named_sharding( + shape=all_buckets_shape, axes=[2] + ) + self.br_window_sum_sharding, _ = self.create_named_sharding( + shape=window_sum_shape, axes=[1] + ) + # Window merge shardings + self.wm_window_sum_sharding, _ = self.create_named_sharding( + shape=wm_window_sum_shape, axes=[] + ) + + def set_use_sharding(self, use_sharding: bool): + super().set_use_sharding(use_sharding) + if use_sharding: + self._init_shardings() + + def _init_cpu_kernels(self): + expected_regular_bucket_size = self.tile_length / ( + self.bucket_num_per_window + ) + expected_special_bucket_size = math.ceil( + self.tile_length / self.bucket_num_duplication + ) + self.expend_ratio = self.parameters["c_kernel_ret_space_ratio"] + self.c_kernel_regular_bucket_size = int( + expected_regular_bucket_size * self.expend_ratio + ) + self.c_kernel_special_bucket_size = int( + expected_special_bucket_size * self.expend_ratio + ) + + regular_shape = ( + self.window_num - 1, + self.bucket_num_per_window, + self.c_kernel_regular_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + + special_shape = ( + self.bucket_num_last_window, + self.special_duplication_ratio, + self.c_kernel_special_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + self.ba_input_regular_shape = regular_shape + self.ba_input_special_shape = special_shape + + lib = ctypes.cdll.LoadLibrary(ensure_distribution_kernel()) + jax.ffi.register_ffi_target( + "distribute_buf", + jax.ffi.pycapsule(lib.DistributeBufZero), + platform="cpu", + ) + self.distribution_buf_c_kernel_call = ffi.ffi_call( + "distribute_buf", + ( + jax.ShapeDtypeStruct(regular_shape, jnp.uint32), + jax.ShapeDtypeStruct(special_shape, jnp.uint32), + jax.ShapeDtypeStruct((2,), jnp.uint32), + ), + ) + + def _bucket_accumulation_regular_windows_opt( + self, + regular_buckets: jnp.ndarray, + all_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for all regular windows. + + Args: + regular_buckets: Initial bucket values (window_dim, coordinate_dim, + bucket_dim, precision_dim). + all_points: Points for all windows (window_dim, bucket_size_dim, + coordinate_dim, bucket_dim, precision_dim). + + Returns: + Accumulated bucket values for all regular windows. + """ + + bucket_size_dim = all_points.shape[1] + regular_buckets = regular_buckets.transpose(1, 0, 2, 3) + all_points = all_points.transpose(1, 2, 0, 3, 4) + + def scan_body(buckets, points): + buckets = self._padd(buckets, points) + return buckets, None + + buckets, _ = jax.lax.scan( + scan_body, regular_buckets, all_points, length=bucket_size_dim + ) + buckets = buckets.transpose(1, 0, 2, 3) + return buckets + + def _bucket_accumulation_all_windows_opt( + self, + all_buckets: jnp.ndarray, + regular_points: jnp.ndarray, + last_window_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for all windows with distributed optimization. + + This is the main bucket accumulation kernel that handles both regular + windows and the special last window with duplication optimization. + + Args: + all_buckets: Initial bucket values (window_dim, coordinate_dim, + bucket_dim, precision_dim). + regular_points: Points for regular windows (window_dim-1, bucket_num, + bucket_size, coord_dim, prec_dim). + last_window_points: Points for last window (bucket_num, dup_ratio, + bucket_size, coord_dim, prec_dim). + parameters: Computation parameters. + + Returns: + Accumulated bucket values for all windows. + """ + # Transpose for computation + regular_points = regular_points.transpose(0, 2, 3, 1, 4) + last_window_points = last_window_points.transpose(2, 3, 1, 0, 4) + + window_dim, coordinate_dim, buckets_dim, precision_dim = all_buckets.shape + _, _, last_window_bucket_dup, last_window_bucket_dim, _ = ( + last_window_points.shape + ) + + # Process regular windows + regular_buckets = all_buckets[: window_dim - 1] + regular_buckets = self._bucket_accumulation_regular_windows_opt( + regular_buckets, regular_points + ) + + # Process last window + last_point_buckets = all_buckets[ + window_dim - 1, :, :last_window_bucket_dim, : + ] + last_blank_buckets = all_buckets[ + window_dim - 1, :, last_window_bucket_dim:, : + ] + last_point_buckets = self._bucket_accumulation_last_window( + last_point_buckets, last_window_points + ) + + # Combine last window buckets + last_buckets = jax.lax.broadcast( + jnp.concatenate((last_point_buckets, last_blank_buckets), axis=1), (1,) + ) + + # Combine all buckets + all_buckets = jnp.concatenate((regular_buckets, last_buckets), axis=0) + return all_buckets + + def _bucket_reduction( + self, + all_buckets: jnp.ndarray, + temp_sum: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + """Reduce buckets to window sums using tree-based parallel algorithm. + + Computes S = sum_{i=0}^{n-1} i * B[i] per window via adjacent-pair + tree reduction in O(log n) parallel steps. + + Tracks H = 2^k * bucket_sums (doubling each level) so that H[1::2] + provides the correction weight directly. No separate bucket array needed. + + Args: + all_buckets: Bucket values (window_dim, coordinate_dim, bucket_dim, + precision_dim). + temp_sum: Unused (kept for interface compatibility). + window_sum: Initial window sum (coordinate_dim, bucket_dim, window_dim, + precision_dim). + + Returns: + Window sums (coordinate_dim, window_dim, precision_dim). + """ + bucket_num_in_window = all_buckets.shape[2] + # (window, coord, bucket, prec) → (coord, bucket, window, prec) + all_buckets = all_buckets.transpose(1, 2, 0, 3) + iter_num = int(math.log2(bucket_num_in_window)) + + cd, m, wd, pd = all_buckets.shape + for _ in range(iter_num): + m = all_buckets.shape[1] + half = m // 2 + + all_buckets = all_buckets.reshape(cd, half, 2, wd, pd) + window_sum = window_sum.reshape(cd, half, 2, wd, pd) + + all_buckets_left, all_buckets_right = ( + all_buckets[:, :, 0], + all_buckets[:, :, 1], + ) + window_sum_left, window_sum_right = ( + window_sum[:, :, 0], + window_sum[:, :, 1], + ) + + window_sum = self._padd( + self._padd(window_sum_left, window_sum_right), all_buckets_right + ) + bucket_sum = self._padd(all_buckets_left, all_buckets_right) + all_buckets = self._padd(bucket_sum, bucket_sum) + + return window_sum[:, 0] + + def _get_ba_shape_dtype_structs(self): + """Get ShapeDtypeStructs for bucket_accumulation_all_windows inputs.""" + all_buckets_shape = ( + self.batch_window_num, + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ) + regular_points_shape = self.ba_input_regular_shape + special_points_shape = self.ba_input_special_shape + + if self.use_sharding: + return [ + jax.ShapeDtypeStruct( + all_buckets_shape, + jnp.uint32, + sharding=self.ba_all_buckets_sharding, + ), + jax.ShapeDtypeStruct( + regular_points_shape, + jnp.uint32, + sharding=self.ba_regular_points_sharding, + ), + jax.ShapeDtypeStruct( + special_points_shape, + jnp.uint32, + sharding=self.ba_special_points_sharding, + ), + ] + return [ + jax.ShapeDtypeStruct(all_buckets_shape, jnp.uint32), + jax.ShapeDtypeStruct(regular_points_shape, jnp.uint32), + jax.ShapeDtypeStruct(special_points_shape, jnp.uint32), + ] + + def _get_br_shape_dtype_structs(self): + """Get ShapeDtypeStructs for bucket_reduction inputs.""" + all_buckets_shape = ( + self.batch_window_num, + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ) + temp_sum_shape = ( + self.coordinate_dim, + self.batch_window_num, + self.moduli_num, + ) + window_sum_shape = ( + self.coordinate_dim, + self.bucket_num_per_window, + self.batch_window_num, + self.moduli_num, + ) + + if self.use_sharding: + return [ + jax.ShapeDtypeStruct( + all_buckets_shape, + jnp.uint32, + sharding=self.br_all_buckets_sharding, + ), + jax.ShapeDtypeStruct(temp_sum_shape, jnp.uint32), + jax.ShapeDtypeStruct( + window_sum_shape, jnp.uint32, sharding=self.br_window_sum_sharding + ), + ] + return [ + jax.ShapeDtypeStruct(all_buckets_shape, jnp.uint32), + jax.ShapeDtypeStruct(temp_sum_shape, jnp.uint32), + jax.ShapeDtypeStruct(window_sum_shape, jnp.uint32), + ] + + def _get_wm_shape_dtype_structs(self): + """Get ShapeDtypeStructs for window_merge input.""" + window_sum_shape = ( + self.coordinate_dim, + self.batch_window_num, + self.moduli_num, + ) + + if self.use_sharding: + return [ + jax.ShapeDtypeStruct( + window_sum_shape, jnp.uint32, sharding=self.wm_window_sum_sharding + ) + ] + return [jax.ShapeDtypeStruct(window_sum_shape, jnp.uint32)] + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.ec_ctx.context_hash() + if hasattr(self.ec_ctx, "context_hash") + else str(self.ec_ctx.__class__.__name__), + self.slice_bits, + self.scalar_bits, + self.msm_length, + self.tile_length, + self.bucket_num_per_window, + self.bucket_num_last_window, + self.use_sharding, + ) + + def serialize(self, parameters: Optional[dict] = None): + ba_structs = self._get_ba_shape_dtype_structs() + br_structs = self._get_br_shape_dtype_structs() + wm_structs = self._get_wm_shape_dtype_structs() + kernel_hash = hash_args( + self.context_hash(), parameters if parameters else {} + ) + class_name = self.__class__.__name__ + + store_jax_executable( + self._bucket_accumulation_all_windows, + ba_structs[0], + ba_structs[1], + ba_structs[2], + name=f"{class_name}_bucket_accumulation_all_windows_{kernel_hash}", + ) + store_jax_executable( + self._bucket_reduction, + br_structs[0], + br_structs[1], + br_structs[2], + name=f"{class_name}_bucket_reduction_{kernel_hash}", + ) + store_jax_executable( + self._window_merge, + wm_structs[0], + name=f"{class_name}_window_merge_{kernel_hash}", + ) + + def compile(self, parameters: Optional[dict] = None): + ba_structs = self._get_ba_shape_dtype_structs() + br_structs = self._get_br_shape_dtype_structs() + wm_structs = self._get_wm_shape_dtype_structs() + kernel_hash = hash_args( + self.context_hash(), parameters if parameters else {} + ) + class_name = self.__class__.__name__ + + ba_kernel = load_jax_executable( + f"{class_name}_bucket_accumulation_all_windows_{kernel_hash}" + ) + br_kernel = load_jax_executable( + f"{class_name}_bucket_reduction_{kernel_hash}" + ) + wm_kernel = load_jax_executable(f"{class_name}_window_merge_{kernel_hash}") + + if None in [ba_kernel, br_kernel, wm_kernel]: + warnings.warn( + "Not found stored serialized compiled kernels for MSM, compiling...", + UserWarning, + stacklevel=2, + ) + + ba_hash = hash_args( + ba_structs[0].shape, + ba_structs[0].dtype.__str__(), + ba_structs[0].shape, + ba_structs[0].dtype.__str__(), + ) + br_hash = hash_args( + br_structs[0].shape, + br_structs[0].dtype.__str__(), + br_structs[0].shape, + br_structs[0].dtype.__str__(), + ) + wm_hash = hash_args( + wm_structs[0].shape, + wm_structs[0].dtype.__str__(), + wm_structs[0].shape, + wm_structs[0].dtype.__str__(), + ) + self.compiled_kernels.setdefault(ba_hash, {})[ + "bucket_accumulation_all_windows" + ] = ( + ba_kernel + if ba_kernel is not None + else jax_jit_lower_compile( + self._bucket_accumulation_all_windows, + ba_structs[0], + ba_structs[1], + ba_structs[2], + ) + ) + self.compiled_kernels.setdefault(br_hash, {})["bucket_reduction"] = ( + br_kernel + if br_kernel is not None + else jax_jit_lower_compile( + self._bucket_reduction, br_structs[0], br_structs[1], br_structs[2] + ) + ) + self.compiled_kernels.setdefault(wm_hash, {})["window_merge"] = ( + wm_kernel + if wm_kernel is not None + else jax_jit_lower_compile(self._window_merge, wm_structs[0]) + ) + self.use_compiled_kernels = True + + def bucket_accumulation_all_windows( + self, all_buckets, regular_points, last_window_points + ): + if self.use_compiled_kernels: + kernel_hash = hash_args( + all_buckets.shape, + all_buckets.dtype.__str__(), + all_buckets.shape, + all_buckets.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash][ + "bucket_accumulation_all_windows" + ](all_buckets, regular_points, last_window_points) + else: + return self._bucket_accumulation_all_windows_opt( + all_buckets, regular_points, last_window_points + ) + + def bucket_reduction(self, all_buckets, temp_sum, window_sum): + if self.use_compiled_kernels: + kernel_hash = hash_args( + all_buckets.shape, + all_buckets.dtype.__str__(), + all_buckets.shape, + all_buckets.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash]["bucket_reduction"]( + all_buckets, temp_sum, window_sum + ) + else: + return self._bucket_reduction(all_buckets, temp_sum, window_sum) + + def window_merge(self, window_sum): + if self.use_compiled_kernels: + kernel_hash = hash_args( + window_sum.shape, + window_sum.dtype.__str__(), + window_sum.shape, + window_sum.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash]["window_merge"](window_sum) + else: + return self._window_merge(window_sum) + + def multiscalar_multiply(self, tiled_slices: jnp.ndarray): + + for tile_index in range(self.tile_num): + idx_start = tile_index * self.tile_length + idx_end = idx_start + self.tile_length + tiled_slices_tile = tiled_slices[tile_index] + # tiled_points_tile = self.points[:, idx_start:idx_end].transpose(1, 0, 2) + tiled_points_tile = self.points[idx_start:idx_end] + regular_buckets, last_window_buckets = self.distribute_buckets( + tiled_slices_tile, tiled_points_tile + ) + if self.use_sharding: + regular_buckets = regular_buckets.to_device( + self.ba_regular_points_sharding + ) + last_window_buckets = last_window_buckets.to_device( + self.ba_special_points_sharding + ) + else: + regular_buckets = jax.device_put(regular_buckets, jax.devices()[0]) + last_window_buckets = jax.device_put( + last_window_buckets, jax.devices()[0] + ) + self.all_buckets = self.bucket_accumulation_all_windows( + self.all_buckets, regular_buckets, last_window_buckets + ) + + window_sum = self.bucket_reduction( + self.all_buckets, self.temp_sum, self.window_sum + ) + result = self.window_merge(window_sum) + return result + + +class TPUDistributionMSMContext(CPUDistributionMSMContext): + """MSM context where bucket distribution runs on TPU using a sort-based + + bucketize algorithm instead of a CPU C kernel. + + Distribution becomes a major TPU kernel alongside bucket_accumulation, + bucket_reduction, and window_merge — all four are compiled by `compile()` + and dispatched the same way. + """ + + def __init__(self, parameters: dict): + MultiscalarMultiplicationContextBase.__init__(self, parameters) + self._init_config_parameters() + self._init_jax_data() + self._init_kernels() + self._init_point_parameters() + JaxKernelContextBase.__init__(self) + + def _init_kernels(self): + expected_regular_bucket_size = self.tile_length / self.bucket_num_per_window + expected_special_bucket_size = math.ceil( + self.tile_length / self.bucket_num_duplication + ) + self.expend_ratio = self.parameters["c_kernel_ret_space_ratio"] + self.regular_bucket_size = int( + expected_regular_bucket_size * self.expend_ratio + ) + self.special_bucket_size = int( + expected_special_bucket_size * self.expend_ratio + ) + + self.ba_input_regular_shape = ( + self.window_num - 1, + self.bucket_num_per_window, + self.regular_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + self.ba_input_special_shape = ( + self.bucket_num_last_window, + self.special_duplication_ratio, + self.special_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + self.dist_input_slices_shape = (self.window_num, self.tile_length) + self.dist_input_points_shape = ( + self.tile_length, + self.coordinate_dim, + self.moduli_num, + ) + + def _init_point_parameters(self): + raw_points = utils.read_external_msm_file( + self.parameters.get("points_path"), "points" + ) + points = self.ec_ctx.to_computational_format(raw_points) + points = points.transpose(1, 0, 2) # (N, coordinate_dim, moduli_num) + self.points = jax.device_put(points, jax.devices()[0]) + + def _bucketize_regular_windows( + self, items: jnp.ndarray, bucket_ids: jnp.ndarray + ) -> jnp.ndarray: + """Sort-based bucketization for regular windows. + + Args: + items: Points to distribute (tile_length, coordinate_dim, moduli_num). + bucket_ids: Slice values for the regular windows (window_num - 1, + tile_length). + + Returns: + Bucketed points (window_num - 1, bucket_num_per_window, + regular_bucket_size, + coordinate_dim, moduli_num). + """ + n = self.tile_length + b = self.window_num - 1 + + bucket_ids_i32 = bucket_ids.astype(jnp.int32) + sorted_indices = jnp.argsort(bucket_ids_i32, axis=1, stable=True) + sorted_buckets = jnp.take_along_axis(bucket_ids_i32, sorted_indices, axis=1) + + is_boundary = jnp.concatenate( + [ + jnp.ones_like(sorted_buckets[:, :1], dtype=jnp.bool_), + sorted_buckets[:, 1:] != sorted_buckets[:, :-1], + ], + axis=1, + ) + positions = jnp.broadcast_to(jnp.arange(n, dtype=jnp.int32), (b, n)) + boundary_positions = jnp.where(is_boundary, positions, jnp.int32(0)) + bucket_starts = jax.lax.associative_scan( + jnp.maximum, boundary_positions, axis=1 + ) + within_rank = positions - bucket_starts + + batch_idx = jnp.broadcast_to( + jnp.arange(b, dtype=jnp.int32)[:, None], (b, n) + ) + zeros_bn = jnp.zeros((b, n), dtype=jnp.int32) + inv_rank = zeros_bn.at[batch_idx, sorted_indices].set(within_rank) + items_b = jnp.broadcast_to(items[None, :, :, :], (b, n, 4, 32)) + + # items_sorted = items[sorted_indices] + + output = jnp.broadcast_to( + self.zero_point, + ( + b, + self.bucket_num_per_window, + self.regular_bucket_size, + self.coordinate_dim, + self.moduli_num, + ), + ).copy() + # output = output.at[batch_idx, sorted_buckets, within_rank].set(items_sorted) + output = output.at[batch_idx, bucket_ids_i32, inv_rank].set(items_b) + return output + + def _bucketize_last_window( + self, items: jnp.ndarray, last_slices: jnp.ndarray + ) -> jnp.ndarray: + """Sort-based bucketization for the last (special) window with duplication. + + Each logical bucket s in [0, bucket_num_last_window) is replicated + special_duplication_ratio times. Item i is mapped to duplicate (i mod sdup), + spreading items across the duplicates so the per-slot capacity stays at + special_bucket_size. Reduction back to logical buckets is handled later by + _bucket_accumulation_last_window. + + Args: + items: Points to distribute (tile_length, coordinate_dim, moduli_num). + last_slices: Slice values for the last window (tile_length,). + + Returns: + Bucketed points (bucket_num_last_window, special_duplication_ratio, + special_bucket_size, coordinate_dim, moduli_num). + """ + n = self.tile_length + sdup = self.special_duplication_ratio + + dup_ids = jnp.arange(n, dtype=jnp.int32) % sdup + bucket_ids_i32 = last_slices.astype(jnp.int32) * sdup + dup_ids + + sorted_indices = jnp.argsort(bucket_ids_i32, stable=True) + sorted_buckets = bucket_ids_i32[sorted_indices] + + is_boundary = jnp.concatenate([ + jnp.ones((1,), dtype=jnp.bool_), + sorted_buckets[1:] != sorted_buckets[:-1], + ]) + positions = jnp.arange(n, dtype=jnp.int32) + boundary_positions = jnp.where(is_boundary, positions, jnp.int32(0)) + bucket_starts = jax.lax.associative_scan(jnp.maximum, boundary_positions) + within_rank = positions - bucket_starts + + zeros_n = jnp.zeros((n,), dtype=jnp.int32) + inv_rank = zeros_n.at[sorted_indices].set(within_rank) + + output = jnp.broadcast_to( + self.zero_point, + ( + self.bucket_num_duplication, + self.special_bucket_size, + self.coordinate_dim, + self.moduli_num, + ), + ).copy() + output = output.at[bucket_ids_i32, inv_rank].set(items) + return output.reshape( + self.bucket_num_last_window, + self.special_duplication_ratio, + self.special_bucket_size, + self.coordinate_dim, + self.moduli_num, + ) + + def _distribute_buckets( + self, + regular_slices: jnp.ndarray, + last_window_slice: jnp.ndarray, + tiled_points: jnp.ndarray, + ): + """Major TPU kernel: distribute one tile of points into buckets. + + Args: + regular_slices: Slice values for regular windows (window_num - 1, + tile_length). + last_window_slice: Slice values for the last window (tile_length,). + tiled_points: Points for one tile (tile_length, coordinate_dim, + moduli_num). + + Returns: + regular_buckets: (window_num - 1, bucket_num_per_window, + regular_bucket_size, + coordinate_dim, moduli_num). + last_window_buckets: (bucket_num_last_window, special_duplication_ratio, + special_bucket_size, coordinate_dim, moduli_num). + """ + regular_buckets = self._bucketize_regular_windows( + tiled_points, regular_slices + ) + last_window_buckets = self._bucketize_last_window( + tiled_points, last_window_slice + ) + return regular_buckets, last_window_buckets + + def _get_dist_shape_dtype_structs(self): + """Get ShapeDtypeStructs for _distribute_buckets inputs.""" + regular_slices_shape = (self.window_num - 1, self.tile_length) + last_window_slice_shape = (self.tile_length,) + return [ + jax.ShapeDtypeStruct(regular_slices_shape, jnp.int32), + jax.ShapeDtypeStruct(last_window_slice_shape, jnp.int32), + jax.ShapeDtypeStruct(self.dist_input_points_shape, jnp.uint32), + ] + + def compile(self, parameters: Optional[dict] = None): + dist_structs = self._get_dist_shape_dtype_structs() + ba_structs = self._get_ba_shape_dtype_structs() + br_structs = self._get_br_shape_dtype_structs() + wm_structs = self._get_wm_shape_dtype_structs() + + dist_hash = hash_args( + dist_structs[0].shape, + dist_structs[0].dtype.__str__(), + dist_structs[1].shape, + dist_structs[1].dtype.__str__(), + dist_structs[2].shape, + dist_structs[2].dtype.__str__(), + ) + ba_hash = hash_args( + ba_structs[0].shape, + ba_structs[0].dtype.__str__(), + ba_structs[0].shape, + ba_structs[0].dtype.__str__(), + ) + br_hash = hash_args( + br_structs[0].shape, + br_structs[0].dtype.__str__(), + br_structs[0].shape, + br_structs[0].dtype.__str__(), + ) + wm_hash = hash_args( + wm_structs[0].shape, + wm_structs[0].dtype.__str__(), + wm_structs[0].shape, + wm_structs[0].dtype.__str__(), + ) + + self.compiled_kernels.setdefault(dist_hash, {})["distribute_buckets"] = ( + jax_jit_lower_compile( + self._distribute_buckets, + dist_structs[0], + dist_structs[1], + dist_structs[2], + ) + ) + self.compiled_kernels.setdefault(ba_hash, {})[ + "bucket_accumulation_all_windows" + ] = jax_jit_lower_compile( + self._bucket_accumulation_all_windows_opt, + ba_structs[0], + ba_structs[1], + ba_structs[2], + ) + self.compiled_kernels.setdefault(br_hash, {})["bucket_reduction"] = ( + jax_jit_lower_compile( + self._bucket_reduction, br_structs[0], br_structs[1], br_structs[2] + ) + ) + self.compiled_kernels.setdefault(wm_hash, {})["window_merge"] = ( + jax_jit_lower_compile(self._window_merge, wm_structs[0]) + ) + self.use_compiled_kernels = True + + def distribute_buckets(self, regular_slices, last_window_slice, tiled_points): + if self.use_compiled_kernels: + kernel_hash = hash_args( + regular_slices.shape, + regular_slices.dtype.__str__(), + last_window_slice.shape, + last_window_slice.dtype.__str__(), + tiled_points.shape, + tiled_points.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash]["distribute_buckets"]( + regular_slices, last_window_slice, tiled_points + ) + else: + return self._distribute_buckets( + regular_slices, last_window_slice, tiled_points + ) + + def multiscalar_multiply(self, tiled_slices: jnp.ndarray): + tpu = jax.devices()[0] + tiled_slices = jax.device_put(tiled_slices, tpu) + + for tile_index in range(self.tile_num): + idx_start = tile_index * self.tile_length + idx_end = idx_start + self.tile_length + tiled_slices_tile = tiled_slices[tile_index] + regular_slices_tile = tiled_slices_tile[: self.window_num - 1] + last_window_slice_tile = tiled_slices_tile[self.window_num - 1] + tiled_points_tile = self.points[idx_start:idx_end] + regular_buckets, last_window_buckets = self.distribute_buckets( + regular_slices_tile, last_window_slice_tile, tiled_points_tile + ) + self.all_buckets = self.bucket_accumulation_all_windows( + self.all_buckets, regular_buckets, last_window_buckets + ) + + window_sum = self.bucket_reduction( + self.all_buckets, self.temp_sum, self.window_sum + ) + result = self.window_merge(window_sum) + return result + + +class FusionMSMContext( + MultiscalarMultiplicationContextBase, JaxKernelContextBase +): + """MSM context that fuses bucket distribution and accumulation on TPU.""" + + def __init__(self, parameters: dict): + super().__init__(parameters) + MultiscalarMultiplicationContextBase.__init__(self, parameters) + self._init_config_parameters() + self._init_jax_data() + self._init_point_parameters() + JaxKernelContextBase.__init__(self) + self.use_fused = False + + def _init_config_parameters(self): + self.coordinate_dim = self.parameters.get("coordinate_dim", 4) + self.msm_length = self.parameters.get("msm_length") + self.tile_length = self.parameters.get("tile_length") + assert self.msm_length is not None + assert self.tile_length is not None + assert ( + self.msm_length % self.tile_length == 0 + and self.msm_length >= self.tile_length + ), ( + "msm_length must be divisible by tile_length and greater than or equal" + " to tile_length" + ) + + self.tile_num = self.msm_length // self.tile_length + self.slice_bits = self.parameters.get("slice_bits") + if self.slice_bits != 15: + warnings.warn( + f"Slice bits {self.slice_bits} may cause performance issue, using 15" + " instead." + ) + if 2**self.slice_bits > self.tile_length: + warnings.warn( + f"2**{self.slice_bits} is greater than tile_length, which may cause" + " performance issue." + ) + self.scalar_bits = self.parameters.get("scalar_bits") + self.order = self.parameters.get("order") + self.window_num = int(math.ceil(self.scalar_bits / self.slice_bits)) # + self.batch_window_num = self.window_num + self.bucket_num_per_window = 2**self.slice_bits # Note: Include Bucket 0 + orig_bucket_num_last_window = ( + self.order >> ((self.window_num - 1) * self.slice_bits) + ) + 1 # Note: Include Bucket 0 + # Now pad to nearest value so bucket_num_last_window % 8 == 0 + added_padding = (8 - orig_bucket_num_last_window % 8) % 8 + if added_padding > 0: + if added_padding / orig_bucket_num_last_window > 0.1: + print( + f"[bucket_num_last_window] Added {added_padding} to make it" + " divisible by 8, but it is too large for" + f" {orig_bucket_num_last_window}. Setting to 0." + ) + added_padding = 0 + else: + print( + f"[bucket_num_last_window] Was {orig_bucket_num_last_window}, " + f"added {added_padding} to make it divisible by 8" + ) + self.bucket_num_last_window = orig_bucket_num_last_window + added_padding + self.moduli_num = self.ec_ctx.get_finite_field_context().get_moduli_num() + + # Special bucket optimization + self.log_special_duplication_ratio = math.ceil( + math.log2(self.bucket_num_per_window / self.bucket_num_last_window) + ) + self.special_duplication_ratio = 2**self.log_special_duplication_ratio + self.bucket_num_duplication = ( + self.bucket_num_last_window * self.special_duplication_ratio + ) + expected_regular_bucket_size = self.tile_length / self.bucket_num_per_window + expected_special_bucket_size = math.ceil( + self.tile_length / self.bucket_num_duplication + ) + self.expend_ratio = self.parameters["c_kernel_ret_space_ratio"] + self.regular_bucket_size = int( + expected_regular_bucket_size * self.expend_ratio + ) + self.special_bucket_size = int( + expected_special_bucket_size * self.expend_ratio + ) + + def _init_point_parameters(self): + if self.parameters.get("points_path") is not None: + raw_points = utils.read_external_msm_file( + self.parameters.get("points_path"), "points" + ) + points = self.ec_ctx.to_computational_format(raw_points) + points = points.transpose(1, 0, 2) # (N, coordinate_dim, moduli_num) + else: + points = jax.random.randint( + jax.random.PRNGKey(0), + (self.msm_length, self.coordinate_dim, self.moduli_num), + 0, + 2**16, + dtype=jnp.uint32, + ) + # Reshape once here into per-tile layout so both execution paths index + # tiles with a single leading-axis lookup (self.points[tile_index]) and + # the fused path can pass self.points directly as tiled_points. + self.points = points.reshape( + self.tile_num, + self.tile_length, + self.coordinate_dim, + self.moduli_num, + ) + + def _init_jax_data(self): + self.zero_point = ( + self.ec_ctx.get_finite_field_context().to_computational_format( + self.ec_ctx.zero_point + ) + ) + all_buckets = jnp.broadcast_to( + self.zero_point.reshape(self.coordinate_dim, 1, 1, self.moduli_num), + ( + self.coordinate_dim, + self.batch_window_num, + self.bucket_num_per_window, + self.moduli_num, + ), + ) + self.regular_window_buckets = all_buckets[:, : self.window_num - 1] + self.last_window_buckets = all_buckets[:, self.window_num - 1] + self.window_sum = jnp.broadcast_to( + self.zero_point.reshape(self.coordinate_dim, 1, 1, self.moduli_num), + ( + self.coordinate_dim, + self.bucket_num_per_window, + self.batch_window_num, + self.moduli_num, + ), + ) + self.fused_reg_slices_padded = None + self.fused_reg_slices_sharding = None + self.fused_last_slices_padded = None + self.fused_last_slices_sharding = None + self.fused_tiled_points_padded = None + self.fused_tiled_points_sharding = None + self.bba_reg_slices_padded = None + self.bba_reg_slices_sharding = None + self.bba_last_slice_padded = None + self.bba_last_slice_sharding = None + self.bba_points_padded = None + self.bba_points_sharding = None + self.bba_reg_buckets_padded = None + self.bba_reg_buckets_sharding = None + self.bba_last_buckets_padded = None + self.bba_last_buckets_sharding = None + self.bws_reg_buckets_padded = None + self.bws_reg_buckets_sharding = None + self.bws_last_buckets_padded = None + self.bws_last_buckets_sharding = None + self.bws_window_sum_padded = None + self.bws_window_sum_sharding = None + + def _preprocess_scalars(self, scalars: list): + tiled_scalar_list = utils.split_list(scalars, self.tile_length) + tiled_slices_list = [] + for tiled_scalars in tiled_scalar_list: + sliced_scalars = utils.slice_scalars( + tiled_scalars, self.scalar_bits, self.slice_bits + ) + tiled_slices_list.append(sliced_scalars) + tiled_slices_list = jnp.array(tiled_slices_list, dtype=jnp.int32) + return tiled_slices_list + + def to_original_format(self, a: jnp.ndarray) -> list: + return self.ec_ctx.to_original_format(a) + + def to_computational_format( + self, scalars: Optional[list] = None + ) -> jnp.ndarray: + if scalars is None: + warnings.warn("No scalars provided, generating random scalars.") + scalars = [ + random.randint(0, self.order - 1) for _ in range(self.msm_length) + ] + tiled_slices = self._preprocess_scalars(scalars) + + # When sharding is enabled, pad tiled_slices along the tile_length axis + # once here so every per-tile slice (regular + last) already matches the + # padded shape expected by the compiled BBA kernel. The hot loop can then + # just `to_device(...)` without any shape-time work. + if self.use_sharding: + padded_tile_length = self.bba_reg_slices_padded[1] + if tiled_slices.shape[-1] != padded_tile_length: + target_shape = ( + tiled_slices.shape[0], + tiled_slices.shape[1], + padded_tile_length, + ) + warnings.warn( + f"Tiled slices shape {tiled_slices.shape} does not match padded" + f" tile length {padded_tile_length}, padding to {target_shape}." + ) + tiled_slices = utils.pad_jax_array(tiled_slices, target_shape) + return tiled_slices + + def _bucketize_regular_windows( + self, items: jnp.ndarray, bucket_ids: jnp.ndarray + ) -> jnp.ndarray: + """Sort-based bucketization for regular windows. + + Args: + items: Points to distribute (tile_length, coordinate_dim, moduli_num). + bucket_ids: Slice values for the regular windows (window_num - 1, + tile_length). + + Returns: + Bucketed points (regular_bucket_size, coordinate_dim, + window_num - 1, bucket_num_per_window, moduli_num). + """ + n = self.tile_length + b = self.window_num - 1 + + bucket_ids_i32 = bucket_ids.astype(jnp.int32) + sorted_indices = jnp.argsort(bucket_ids_i32, axis=1, stable=True) + sorted_buckets = jnp.take_along_axis(bucket_ids_i32, sorted_indices, axis=1) + + is_boundary = jnp.concatenate( + [ + jnp.ones_like(sorted_buckets[:, :1], dtype=jnp.bool_), + sorted_buckets[:, 1:] != sorted_buckets[:, :-1], + ], + axis=1, + ) + positions = jnp.broadcast_to(jnp.arange(n, dtype=jnp.int32), (b, n)) + boundary_positions = jnp.where(is_boundary, positions, jnp.int32(0)) + bucket_starts = jax.lax.associative_scan( + jnp.maximum, boundary_positions, axis=1 + ) + within_rank = positions - bucket_starts + + batch_idx = jnp.broadcast_to( + jnp.arange(b, dtype=jnp.int32)[:, None], (b, n) + ) + zeros_bn = jnp.zeros((b, n), dtype=jnp.int32) + sharding = jax.typeof(sorted_indices).sharding + zeros_bn = jax.device_put(zeros_bn, sharding) + batch_idx = jax.device_put(batch_idx, sharding) + inv_rank = zeros_bn.at[batch_idx, sorted_indices].set( + within_rank, out_sharding=sharding + ) + items_b = jnp.broadcast_to( + items[None, :, :, :], (b, n, self.coordinate_dim, self.moduli_num) + ) + + output = jnp.broadcast_to( + self.zero_point.reshape(1, self.coordinate_dim, 1, 1, self.moduli_num), + ( + self.regular_bucket_size, + self.coordinate_dim, + b, + self.bucket_num_per_window, + self.moduli_num, + ), + ).copy() + sharding_out = jax.typeof(output).sharding + output = output.at[inv_rank, :, batch_idx, bucket_ids_i32].set( + items_b, out_sharding=sharding_out + ) + return output + + def _bucketize_last_window( + self, items: jnp.ndarray, last_slices: jnp.ndarray + ) -> jnp.ndarray: + """Sort-based bucketization for the last (special) window with duplication. + + Each logical bucket s in [0, bucket_num_last_window) is replicated + special_duplication_ratio times. Item i is mapped to duplicate (i mod sdup), + spreading items across the duplicates so the per-slot capacity stays at + special_bucket_size. Reduction back to logical buckets is handled later by + _bucket_accumulation_last_window. + + Args: + items: Points to distribute (tile_length, coordinate_dim, moduli_num). + last_slices: Slice values for the last window (tile_length,). + + Returns: + Bucketed points (special_bucket_size, coordinate_dim, + special_duplication_ratio, bucket_num_last_window, + moduli_num). + """ + n = self.tile_length + sdup = self.special_duplication_ratio + + dup_ids = jnp.arange(n, dtype=jnp.int32) % sdup + bucket_ids_i32 = dup_ids * self.bucket_num_last_window + last_slices.astype( + jnp.int32 + ) + + sorted_indices = jnp.argsort(bucket_ids_i32, stable=True) + sorted_buckets = bucket_ids_i32[sorted_indices] + + is_boundary = jnp.concatenate([ + jnp.ones((1,), dtype=jnp.bool_), + sorted_buckets[1:] != sorted_buckets[:-1], + ]) + positions = jnp.arange(n, dtype=jnp.int32) + boundary_positions = jnp.where(is_boundary, positions, jnp.int32(0)) + bucket_starts = jax.lax.associative_scan(jnp.maximum, boundary_positions) + within_rank = positions - bucket_starts + + zeros_n = jnp.zeros((n,), dtype=jnp.int32) + inv_rank = zeros_n.at[sorted_indices].set(within_rank) + + output = jnp.broadcast_to( + self.zero_point.reshape(1, self.coordinate_dim, 1, self.moduli_num), + ( + self.special_bucket_size, + self.coordinate_dim, + self.bucket_num_duplication, + self.moduli_num, + ), + ).copy() + output = output.at[inv_rank, :, bucket_ids_i32].set(items) + return output.reshape( + self.special_bucket_size, + self.coordinate_dim, + self.special_duplication_ratio, + self.bucket_num_last_window, + self.moduli_num, + ) + + def _distribute_buckets( + self, + regular_slices: jnp.ndarray, + last_window_slice: jnp.ndarray, + tiled_points: jnp.ndarray, + ): + """Major TPU kernel: distribute one tile of points into buckets. + + Args: + regular_slices: Slice values for regular windows (window_num - 1, + tile_length). + last_window_slice: Slice values for the last window (tile_length,). + tiled_points: Points for one tile (tile_length, coordinate_dim, + moduli_num). + + Returns: + regular_buckets: (regular_bucket_size, coordinate_dim, + window_num - 1, bucket_num_per_window, moduli_num). + last_window_buckets: (special_bucket_size, coordinate_dim, + special_duplication_ratio, bucket_num_last_window, + moduli_num). + """ + regular_buckets = self._bucketize_regular_windows( + tiled_points, regular_slices + ) + last_window_buckets = self._bucketize_last_window( + tiled_points, last_window_slice + ) + return regular_buckets, last_window_buckets + + def _bucket_accumulation_regular_windows_2d_parallel( + self, + regular_buckets: jnp.ndarray, + all_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for all regular windows. + + Args: + regular_buckets: Initial bucket values (coordinate_dim, window_dim, + bucket_dim, precision_dim). + all_points: Points for all windows (bucket_size_dim, coordinate_dim, + window_dim, bucket_dim, precision_dim). + + Returns: + Accumulated bucket values for all regular windows. + """ + bucket_size_dim = all_points.shape[0] + + def scan_body(buckets, points): + buckets = self._padd(buckets, points) + return buckets, None + + buckets, _ = jax.lax.scan( + scan_body, regular_buckets, all_points, length=bucket_size_dim + ) + return buckets + + def _bucket_accumulation_last_window( + self, + buckets_in: jnp.ndarray, + window_points: jnp.ndarray, + ) -> jnp.ndarray: + """Accumulate points for the last (special) window with duplication handling. + + Args: + buckets_in: Initial bucket values (coordinate_dim, bucket_dim, + precision_dim). + window_points: Points with duplication (bucket_size_dim, coordinate_dim, + bucket_dup_dim, bucket_dim, precision_dim). + parameters: Computation parameters. + + Returns: + Accumulated bucket values. + """ + coordinate_dim, buckets_dim, precision_dim = buckets_in.shape + bucket_size_dim, _, bucket_dup_dim, _, _ = window_points.shape + + # Reshape for processing + window_points = window_points.reshape( + bucket_size_dim, coordinate_dim, -1, precision_dim + ) + base_dup_buckets = window_points[0] + + def scan_body(buckets, points): + buckets = self._padd(buckets, points) + return buckets, None + + dup_buckets, _ = jax.lax.scan( + scan_body, + base_dup_buckets, + window_points[1:], + length=bucket_size_dim - 1, + ) + + # Reduce duplicated buckets using tree reduction + log_bucket_dup_dim = int(math.log2(bucket_dup_dim)) + for _ in range(log_bucket_dup_dim): + buckets_split = jnp.split(dup_buckets, 2, axis=1) + dup_buckets = self._padd(buckets_split[0], buckets_split[1]) + + # Add to input buckets + buckets_in = self._padd(buckets_in, dup_buckets) + return buckets_in + + def _bucket_accumulation_all_windows( + self, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + regular_window_points: jnp.ndarray, + last_window_points: jnp.ndarray, + ) -> tuple[jnp.ndarray, jnp.ndarray]: + """Accumulate points for all windows with optimized regular window processing. + + Uses the opt variant for regular windows, which processes all windows + simultaneously in a single scan instead of scanning window-by-window. + + Args: + regular_buckets: Initial bucket values for regular windows (coord_dim, + window_dim-1, bucket_dim, prec_dim). + last_window_buckets: Initial bucket values for the last window + (coord_dim, bucket_dim, prec_dim). + regular_window_points: Points for regular windows (bucket_size, + coord_dim, window_dim-1, bucket_num, prec_dim). + last_window_points: Points for last window (bucket_size, coord_dim, + dup_ratio, bucket_num, prec_dim). + + Returns: + (regular_buckets, last_window_buckets): Accumulated bucket values, + same shapes as the inputs. + """ + _, _, last_window_bucket_dup, last_window_bucket_dim, _ = ( + last_window_points.shape + ) + + regular_window_buckets = ( + self._bucket_accumulation_regular_windows_2d_parallel( + regular_window_buckets, regular_window_points + ) + ) + + last_point_buckets = last_window_buckets[:, :last_window_bucket_dim, :] + last_blank_buckets = last_window_buckets[:, last_window_bucket_dim:, :] + last_point_buckets = self._bucket_accumulation_last_window( + last_point_buckets, last_window_points + ) + + last_window_buckets = jnp.concatenate( + (last_point_buckets, last_blank_buckets), axis=1 + ) + + # Combine all buckets + return regular_window_buckets, last_window_buckets + + def _bucketize_and_bucket_accumulation( + self, + regular_window_slices: jnp.ndarray, + last_window_slices: jnp.ndarray, + tiled_points: jnp.ndarray, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + ) -> tuple[jnp.ndarray, jnp.ndarray]: + regular_window_points = self._bucketize_regular_windows( + tiled_points, regular_window_slices + ) + last_window_points = self._bucketize_last_window( + tiled_points, last_window_slices + ) + regular_window_buckets, last_window_buckets = ( + self._bucket_accumulation_all_windows( + regular_window_buckets, + last_window_buckets, + regular_window_points, + last_window_points, + ) + ) + + return regular_window_buckets, last_window_buckets + + def _bucket_reduction( + self, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + """Reduce buckets to window sums using tree-based parallel algorithm. + + Computes S = sum_{i=0}^{n-1} i * B[i] per window via adjacent-pair + tree reduction in O(log n) parallel steps. + + Tracks H = 2^k * bucket_sums (doubling each level) so that H[1::2] + provides the correction weight directly. No separate bucket array needed. + + Args: + all_buckets: Bucket values (window_dim, coordinate_dim, bucket_dim, + precision_dim). + window_sum: Initial window sum (coordinate_dim, bucket_dim, window_dim, + precision_dim). + + Returns: + Window sums (coordinate_dim, window_dim, precision_dim). + """ + all_buckets = jnp.concatenate( + (regular_window_buckets, last_window_buckets[:, jnp.newaxis]), axis=1 + ) + bucket_num_in_window = all_buckets.shape[2] + # (coord, window, bucket, prec) → (coord, bucket, window, prec) + all_buckets = all_buckets.transpose(0, 2, 1, 3) + iter_num = int(math.log2(bucket_num_in_window)) + + cd, m, wd, pd = all_buckets.shape + for _ in range(iter_num): + m = all_buckets.shape[1] + half = m // 2 + + all_buckets = all_buckets.reshape(cd, half, 2, wd, pd) + window_sum = window_sum.reshape(cd, half, 2, wd, pd) + + all_buckets_left, all_buckets_right = ( + all_buckets[:, :, 0], + all_buckets[:, :, 1], + ) + window_sum_left, window_sum_right = ( + window_sum[:, :, 0], + window_sum[:, :, 1], + ) + + window_sum = self._padd( + self._padd(window_sum_left, window_sum_right), all_buckets_right + ) + bucket_sum = self._padd(all_buckets_left, all_buckets_right) + all_buckets = self._padd(bucket_sum, bucket_sum) + + return window_sum[:, 0] + + def _window_merge(self, window_sum: jnp.ndarray) -> jnp.ndarray: + """Merge window results into final MSM result using scan algorithm. + + Implements the window merging phase of Pippenger's algorithm. + + Args: + window_sum: Window sums (coordinate_dim, window_dim, precision_dim). + slice_length: Bit width of each window. + parameters: Computation parameters. + + Returns: + Final MSM result (coordinate_dim, precision_dim). + """ + coordinate_dim, window_dim, precision_dim = window_sum.shape + window_sum = window_sum.transpose(1, 0, 2).reshape( + (window_dim, coordinate_dim, 1, precision_dim) + ) + result = window_sum[window_dim - 1] + + def fori_loop_body(i, result): + result = self._padd(result, result) + return result + + def scan_body(result, window_sum): + result = jax.lax.fori_loop(0, self.slice_bits, fori_loop_body, result) + result = self._padd(result, window_sum) + return result, None + + result, _ = jax.lax.scan( + scan_body, + result, + window_sum[: window_dim - 1], + reverse=True, + length=window_dim - 1, + ) + result = result.reshape((coordinate_dim, precision_dim)) + return result + + def _bba_and_bws( + self, + regular_window_slices: jnp.ndarray, + last_window_slices: jnp.ndarray, + tiled_points: jnp.ndarray, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + """Fused kernel: run the last-tile BBA and then BWS in a single jit. + + Saves a kernel launch + the BBA->BWS round-trip via the host/HBM: XLA + sees the accumulated buckets immediately feed into bucket reduction and + can overlap the window-axis -> bucket-axis reshard with the reduction + tree. + """ + regular_window_buckets, last_window_buckets = ( + self._bucketize_and_bucket_accumulation( + regular_window_slices, + last_window_slices, + tiled_points, + regular_window_buckets, + last_window_buckets, + ) + ) + # Sharding conversion at the BBA -> BWS boundary. + # BBA output: regular_window_buckets on axis[1] (window), + # last_window_buckets on axis[1] (bucket). + # BWS input : regular_window_buckets on axis[2] (bucket), + # last_window_buckets on axis[1] (bucket, unchanged). + # The last_window_buckets layout already matches BWS; only the + # regular buckets need a window-axis -> bucket-axis reshard. + if self.use_sharding: + P = jax.sharding.PartitionSpec + sharding = jax.sharding.NamedSharding( + self.sharding_mesh, P(None, None, self.mesh_axes, None) + ) + regular_window_buckets = jax.device_put(regular_window_buckets, sharding) + return self._bucket_and_window_sum( + regular_window_buckets, last_window_buckets, window_sum + ) + + def _bucket_and_window_sum( + self, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + bucket_summations = self._bucket_reduction( + regular_window_buckets, last_window_buckets, window_sum + ) + # bucket_summations: (C, W, M). Window merge has no natural batch axis + # to shard along, so force replication here. Without this constraint, + # XLA may propagate BR's bucket-axis sharding forward and emit awkward + # collectives inside the window-merge scan. + if self.use_sharding: + P = jax.sharding.PartitionSpec + bucket_summations = self.shard_constraint( + bucket_summations, P(None, None, None) + ) + window_summations = self._window_merge(bucket_summations) + return window_summations + + # ----- Sharding setup ----- + + def _init_shardings(self): + """Pre-compute named shardings and padded shapes for BBA/BWS kernels. + + Sharding plan (mirrors scratch_profile_msm_sharding.py references): + + BBA (bucketize + bucket accumulation) — analogous to DA fused: + regular_slices (W-1, tile_length) -> axis[0] (window) + last_window_slice (tile_length,) -> replicated + tiled_points (tile_length, C, M) -> replicated + regular_window_buckets (C, W-1, B, M) -> axis[1] (window) + last_window_buckets (C, B, M) -> axis[1] (bucket) + + BWS (bucket reduction + window merge) — analogous to BR_new_opt + WM: + regular_window_buckets (C, W-1, B, M) -> axis[2] (bucket) + last_window_buckets (C, B, M) -> axis[1] (bucket) + window_sum (C, B, W, M) -> axis[1] (bucket) + + Note: regular_window_buckets is bucket-axis sharded at BWS entry but + window-axis sharded during BBA. XLA inserts the reshard at the BWS + boundary. + + Any axis whose extent is not divisible by the mesh size triggers a + warning (from create_named_sharding) and is padded up. + """ + C = self.coordinate_dim + B = self.bucket_num_per_window + M = self.moduli_num + W = self.window_num + T = self.tile_length + + # Shapes + reg_slices_shape = (W - 1, T) + last_slice_shape = (T,) + points_shape = (T, C, M) + reg_buckets_shape = (C, W - 1, B, M) + last_buckets_shape = (C, B, M) + window_sum_shape = (C, B, W, M) + + def _check(name, shape, padded): + if tuple(shape) != tuple(padded): + warnings.warn( + f"[FusionMSMContext sharding] '{name}' shape {shape} not " + f"divisible by mesh; padded to {padded}.", + stacklevel=2, + ) + + # ----- BBA kernel shardings ----- + self.bba_reg_slices_sharding, self.bba_reg_slices_padded = ( + self.create_named_sharding(shape=reg_slices_shape, axes=[0]) + ) + _check("bba_regular_slices", reg_slices_shape, self.bba_reg_slices_padded) + + self.bba_last_slice_sharding, self.bba_last_slice_padded = ( + self.create_named_sharding(shape=last_slice_shape, axes=[]) + ) + _check( + "bba_last_window_slice", last_slice_shape, self.bba_last_slice_padded + ) + + self.bba_points_sharding, self.bba_points_padded = ( + self.create_named_sharding(shape=points_shape, axes=[]) + ) + _check("bba_tiled_points", points_shape, self.bba_points_padded) + + self.bba_reg_buckets_sharding, self.bba_reg_buckets_padded = ( + self.create_named_sharding(shape=reg_buckets_shape, axes=[1]) + ) + _check( + "bba_regular_window_buckets", + reg_buckets_shape, + self.bba_reg_buckets_padded, + ) + + self.bba_last_buckets_sharding, self.bba_last_buckets_padded = ( + self.create_named_sharding(shape=last_buckets_shape, axes=[1]) + ) + _check( + "bba_last_window_buckets", + last_buckets_shape, + self.bba_last_buckets_padded, + ) + + # ----- BWS kernel shardings ----- + self.bws_reg_buckets_sharding, self.bws_reg_buckets_padded = ( + self.create_named_sharding(shape=reg_buckets_shape, axes=[2]) + ) + _check( + "bws_regular_window_buckets", + reg_buckets_shape, + self.bws_reg_buckets_padded, + ) + + self.bws_last_buckets_sharding, self.bws_last_buckets_padded = ( + self.create_named_sharding(shape=last_buckets_shape, axes=[1]) + ) + _check( + "bws_last_window_buckets", + last_buckets_shape, + self.bws_last_buckets_padded, + ) + + self.bws_window_sum_sharding, self.bws_window_sum_padded = ( + self.create_named_sharding(shape=window_sum_shape, axes=[1]) + ) + _check("bws_window_sum", window_sum_shape, self.bws_window_sum_padded) + + # ----- Whole-MSM fused kernel shardings ----- + # Slices get a tile axis prepended, so the regular window axis shifts + # from axis[0] to axis[1]. Last slices + points are replicated. + fused_reg_slices_shape = (self.tile_num, W - 1, T) + fused_last_slices_shape = (self.tile_num, T) + fused_tiled_points_shape = (self.tile_num, T, C, M) + self.fused_reg_slices_sharding, self.fused_reg_slices_padded = ( + self.create_named_sharding(shape=fused_reg_slices_shape, axes=[1]) + ) + _check( + "fused_regular_tiled_slices", + fused_reg_slices_shape, + self.fused_reg_slices_padded, + ) + self.fused_last_slices_sharding, self.fused_last_slices_padded = ( + self.create_named_sharding(shape=fused_last_slices_shape, axes=[]) + ) + _check( + "fused_last_tiled_slices", + fused_last_slices_shape, + self.fused_last_slices_padded, + ) + self.fused_tiled_points_sharding, self.fused_tiled_points_padded = ( + self.create_named_sharding(shape=fused_tiled_points_shape, axes=[]) + ) + _check( + "fused_tiled_points", + fused_tiled_points_shape, + self.fused_tiled_points_padded, + ) + + def set_use_sharding(self, use_sharding: bool): + super().set_use_sharding(use_sharding) + if use_sharding: + self._init_shardings() + self._place_sharded_state() + + def _place_sharded_state(self): + """Pad + place persistent state (accumulators, points) onto the correct + + shardings so compiled kernels receive inputs whose layout matches what + they were compiled for. Must be called after _init_shardings(). + """ + # Accumulators — BBA input layouts. + self.regular_window_buckets = utils.pad_jax_array( + jnp.asarray(self.regular_window_buckets), self.bba_reg_buckets_padded + ).to_device(self.bba_reg_buckets_sharding) + self.last_window_buckets = utils.pad_jax_array( + jnp.asarray(self.last_window_buckets), self.bba_last_buckets_padded + ).to_device(self.bba_last_buckets_sharding) + # window_sum — BWS input layout. + self.window_sum = utils.pad_jax_array( + jnp.asarray(self.window_sum), self.bws_window_sum_padded + ).to_device(self.bws_window_sum_sharding) + # Points — replicated on the mesh. Use the 4D fused sharding so that + # the runtime placement matches what the compiled fused kernel was + # lowered with (both paths see the same PartitionSpec). + self.points = jax.device_put( + jnp.asarray(self.points), self.fused_tiled_points_sharding + ) + + # ----- Compile system (mirrors TPUDistributionMSMContext) ----- + + def _get_bba_shape_dtype_structs(self): + """ShapeDtypeStructs for _bucketize_and_bucket_accumulation inputs. + + When sharding is enabled, inputs carry the shardings/padded shapes + established in _init_shardings(). + """ + if self.use_sharding: + return [ + jax.ShapeDtypeStruct( + self.bba_reg_slices_padded, + jnp.int32, + sharding=self.bba_reg_slices_sharding, + ), + jax.ShapeDtypeStruct( + self.bba_last_slice_padded, + jnp.int32, + sharding=self.bba_last_slice_sharding, + ), + jax.ShapeDtypeStruct( + self.bba_points_padded, + jnp.uint32, + sharding=self.bba_points_sharding, + ), + jax.ShapeDtypeStruct( + self.bba_reg_buckets_padded, + jnp.uint32, + sharding=self.bba_reg_buckets_sharding, + ), + jax.ShapeDtypeStruct( + self.bba_last_buckets_padded, + jnp.uint32, + sharding=self.bba_last_buckets_sharding, + ), + ] + regular_slices_shape = (self.window_num - 1, self.tile_length) + last_window_slice_shape = (self.tile_length,) + tiled_points_shape = ( + self.tile_length, + self.coordinate_dim, + self.moduli_num, + ) + regular_window_buckets_shape = ( + self.coordinate_dim, + self.window_num - 1, + self.bucket_num_per_window, + self.moduli_num, + ) + last_window_buckets_shape = ( + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ) + return [ + jax.ShapeDtypeStruct(regular_slices_shape, jnp.int32), + jax.ShapeDtypeStruct(last_window_slice_shape, jnp.int32), + jax.ShapeDtypeStruct(tiled_points_shape, jnp.uint32), + jax.ShapeDtypeStruct(regular_window_buckets_shape, jnp.uint32), + jax.ShapeDtypeStruct(last_window_buckets_shape, jnp.uint32), + ] + + def _get_bws_shape_dtype_structs(self): + """ShapeDtypeStructs for _bucket_and_window_sum inputs.""" + if self.use_sharding: + return [ + jax.ShapeDtypeStruct( + self.bws_reg_buckets_padded, + jnp.uint32, + sharding=self.bws_reg_buckets_sharding, + ), + jax.ShapeDtypeStruct( + self.bws_last_buckets_padded, + jnp.uint32, + sharding=self.bws_last_buckets_sharding, + ), + jax.ShapeDtypeStruct( + self.bws_window_sum_padded, + jnp.uint32, + sharding=self.bws_window_sum_sharding, + ), + ] + regular_window_buckets_shape = ( + self.coordinate_dim, + self.window_num - 1, + self.bucket_num_per_window, + self.moduli_num, + ) + last_window_buckets_shape = ( + self.coordinate_dim, + self.bucket_num_per_window, + self.moduli_num, + ) + window_sum_shape = ( + self.coordinate_dim, + self.bucket_num_per_window, + self.batch_window_num, + self.moduli_num, + ) + return [ + jax.ShapeDtypeStruct(regular_window_buckets_shape, jnp.uint32), + jax.ShapeDtypeStruct(last_window_buckets_shape, jnp.uint32), + jax.ShapeDtypeStruct(window_sum_shape, jnp.uint32), + ] + + def _get_bba_bws_shape_dtype_structs(self): + """ShapeDtypeStructs for the fused _bba_and_bws inputs. + + Slices/points + BBA-layout accumulators + BWS-layout window_sum. The + reshard from BBA's window-axis bucket layout to BWS's bucket-axis + layout happens inside the kernel via with_sharding_constraint. + """ + bba = self._get_bba_shape_dtype_structs() + bws = self._get_bws_shape_dtype_structs() + # 3 slice/point inputs + 2 BBA accumulators + BWS window_sum. + return bba + [bws[2]] + + def compile(self, parameters: Optional[dict] = None): + """Compile the kernels needed for the chosen execution path. + + Args: + parameters: Compile-time options. Recognised keys: - ``use_fused`` (bool, + default False): when True, compile the whole-MSM fused kernel + (``_multiscalar_multiply_fused``) and only the subkernels it uses + internally (``_bba_and_bws`` for the last tile, plus + ``_bucketize_and_bucket_accumulation`` for the scan body when ``tile_num + > 1``). When False, compile the per-stage path: BBA + BWS, and + additionally ``_bba_and_bws`` for the last-tile fusion that + ``_multiscalar_multiply`` uses. Also skips compiling the standalone BBA + when ``tile_num == 1``. + """ + parameters = parameters or {} + use_fused = parameters.get("use_fused", False) + self.use_fused = use_fused + + bba_structs = self._get_bba_shape_dtype_structs() + bws_structs = self._get_bws_shape_dtype_structs() + bba_bws_structs = self._get_bba_bws_shape_dtype_structs() + + bba_hash = hash_args( + *(v for s in bba_structs for v in (s.shape, s.dtype.__str__())) + ) + bws_hash = hash_args( + *(v for s in bws_structs for v in (s.shape, s.dtype.__str__())) + ) + bba_bws_hash = hash_args( + *(v for s in bba_bws_structs for v in (s.shape, s.dtype.__str__())) + ) + + # Always compile the fused BBA+BWS kernel: it handles the last tile + # in both execution paths, and is the single kernel used by + # tile_num == 1 in the non-fused path. + self.compiled_kernels.setdefault(bba_bws_hash, {})["bba_and_bws"] = ( + jax_jit_lower_compile( + self._bba_and_bws, + bba_bws_structs[0], + bba_bws_structs[1], + bba_bws_structs[2], + bba_bws_structs[3], + bba_bws_structs[4], + bba_bws_structs[5], + ) + ) + + if use_fused: + fused_structs = self._get_fused_shape_dtype_structs() + fused_hash = hash_args( + *(v for s in fused_structs for v in (s.shape, s.dtype.__str__())) + ) + self.compiled_kernels.setdefault(fused_hash, {})[ + "multiscalar_multiply_fused" + ] = jax_jit_lower_compile( + self._multiscalar_multiply_fused, + *fused_structs, + ) + # The whole-MSM fused kernel absorbs BBA (via scan) and BWS + # internally, so the standalone per-stage compiles aren't needed. + else: + # Non-fused path uses standalone BBA for tiles 0..N-2, and + # _bba_and_bws for the last tile (already compiled above). When + # tile_num == 1 there are no non-last tiles, so skip the + # standalone BBA compile entirely. + if self.tile_num > 1: + self.compiled_kernels.setdefault(bba_hash, {})[ + "bucketize_and_bucket_accumulation" + ] = jax_jit_lower_compile( + self._bucketize_and_bucket_accumulation, + bba_structs[0], + bba_structs[1], + bba_structs[2], + bba_structs[3], + bba_structs[4], + ) + # BWS standalone is still useful if any external caller invokes + # bucket_and_window_sum directly. Keep compiling it. + self.compiled_kernels.setdefault(bws_hash, {})[ + "bucket_and_window_sum" + ] = jax_jit_lower_compile( + self._bucket_and_window_sum, + bws_structs[0], + bws_structs[1], + bws_structs[2], + ) + + self.use_compiled_kernels = True + + def bba_and_bws( + self, + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + window_sum, + ): + if self.use_compiled_kernels: + kernel_hash = hash_args( + regular_slices.shape, + regular_slices.dtype.__str__(), + last_window_slice.shape, + last_window_slice.dtype.__str__(), + tiled_points.shape, + tiled_points.dtype.__str__(), + regular_window_buckets.shape, + regular_window_buckets.dtype.__str__(), + last_window_buckets.shape, + last_window_buckets.dtype.__str__(), + window_sum.shape, + window_sum.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash]["bba_and_bws"]( + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + window_sum, + ) + return self._bba_and_bws( + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + window_sum, + ) + + def bucketize_and_bucket_accumulation( + self, + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + ): + if self.use_compiled_kernels: + kernel_hash = hash_args( + regular_slices.shape, + regular_slices.dtype.__str__(), + last_window_slice.shape, + last_window_slice.dtype.__str__(), + tiled_points.shape, + tiled_points.dtype.__str__(), + regular_window_buckets.shape, + regular_window_buckets.dtype.__str__(), + last_window_buckets.shape, + last_window_buckets.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash][ + "bucketize_and_bucket_accumulation" + ]( + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + ) + return self._bucketize_and_bucket_accumulation( + regular_slices, + last_window_slice, + tiled_points, + regular_window_buckets, + last_window_buckets, + ) + + def bucket_and_window_sum( + self, regular_window_buckets, last_window_buckets, window_sum + ): + if self.use_compiled_kernels: + kernel_hash = hash_args( + regular_window_buckets.shape, + regular_window_buckets.dtype.__str__(), + last_window_buckets.shape, + last_window_buckets.dtype.__str__(), + window_sum.shape, + window_sum.dtype.__str__(), + ) + return self.compiled_kernels[kernel_hash]["bucket_and_window_sum"]( + regular_window_buckets, + last_window_buckets, + window_sum, + ) + return self._bucket_and_window_sum( + regular_window_buckets, last_window_buckets, window_sum + ) + + def context_hash(self) -> str: + return hash_args( + self.__class__.__name__, + self.ec_ctx.context_hash() + if hasattr(self.ec_ctx, "context_hash") + else str(self.ec_ctx.__class__.__name__), + self.slice_bits, + self.scalar_bits, + self.msm_length, + self.tile_length, + self.bucket_num_per_window, + self.bucket_num_last_window, + self.use_sharding, + ) + + def _multiscalar_multiply(self, tiled_slices: jnp.ndarray): + # Padding (if any) was applied in to_computational_format. Here we only + # place the per-tile slices onto the right sharding — points are already + # placed on the replicated BBA points sharding via _place_sharded_state. + last_tile = self.tile_num - 1 + for tile_index in range(self.tile_num): + tiled_slices_tile = tiled_slices[tile_index] + regular_slices_tile = tiled_slices_tile[: self.window_num - 1] + last_window_slice_tile = tiled_slices_tile[self.window_num - 1] + tiled_points_tile = self.points[tile_index] + + if self.use_sharding: + regular_slices_tile = regular_slices_tile.to_device( + self.bba_reg_slices_sharding + ) + last_window_slice_tile = last_window_slice_tile.to_device( + self.bba_last_slice_sharding + ) + + if tile_index == last_tile: + # Fused BBA + BWS: reshard (BBA -> BWS) stays inside one compiled + # kernel, so XLA can overlap it with the reduction tree. + return self.bba_and_bws( + regular_slices_tile, + last_window_slice_tile, + tiled_points_tile, + self.regular_window_buckets, + self.last_window_buckets, + self.window_sum, + ) + + self.regular_window_buckets, self.last_window_buckets = ( + self.bucketize_and_bucket_accumulation( + regular_slices_tile, + last_window_slice_tile, + tiled_points_tile, + self.regular_window_buckets, + self.last_window_buckets, + ) + ) + + def _multiscalar_multiply_fused( + self, + regular_tiled_slices: jnp.ndarray, + last_tiled_slices: jnp.ndarray, + tiled_points: jnp.ndarray, + regular_window_buckets: jnp.ndarray, + last_window_buckets: jnp.ndarray, + window_sum: jnp.ndarray, + ) -> jnp.ndarray: + """Whole-MSM fused kernel — one jit across all tiles + BWS. + + Regular and last-window slices are passed as separate tensors because + they require different input shardings: regular is sharded along its + window axis, while the last-window slice has no batch-like axis to + shard over and is replicated. Packing them together would force a + single sharding on the combined tensor, losing this distinction. + + Args: + regular_tiled_slices: (tile_num, W-1, tile_length) — shard axis[1] + last_tiled_slices: (tile_num, tile_length) — replicated + tiled_points: (tile_num, tile_length, C, M) — replicated + regular_window_buckets: (C, W-1, B, M) — BBA axis[1] + last_window_buckets: (C, B, M) — BBA axis[1] + window_sum: (C, B, W, M) — BWS axis[1] + + Hybrid structure: + - Tiles ``0..N-2`` run through ``jax.lax.scan``. + - The last tile goes through ``_bba_and_bws`` (reshard + BR->WM + constraint live inside that kernel). + - When ``tile_num == 1``, the scan is skipped. + """ + + def scan_body(carry, inputs): + reg_buckets, last_buckets = carry + regular_slices, last_window_slice, points_tile = inputs + reg_buckets, last_buckets = self._bucketize_and_bucket_accumulation( + regular_slices, + last_window_slice, + points_tile, + reg_buckets, + last_buckets, + ) + return (reg_buckets, last_buckets), None + + if self.tile_num > 1: + (regular_window_buckets, last_window_buckets), _ = jax.lax.scan( + scan_body, + (regular_window_buckets, last_window_buckets), + ( + regular_tiled_slices[:-1], + last_tiled_slices[:-1], + tiled_points[:-1], + ), + length=self.tile_num - 1, + ) + + return self._bba_and_bws( + regular_tiled_slices[-1], + last_tiled_slices[-1], + tiled_points[-1], + regular_window_buckets, + last_window_buckets, + window_sum, + ) + + def _get_fused_shape_dtype_structs(self): + """ShapeDtypeStructs for the whole-MSM fused kernel. + + Regular / last slices are produced as separate structs so each can + carry its own sharding (regular: window-axis sharded; last: + replicated). + """ + bba = self._get_bba_shape_dtype_structs() + bws = self._get_bws_shape_dtype_structs() + per_tile_length = bba[0].shape[1] + + regular_tiled_slices_shape = ( + self.tile_num, + self.window_num - 1, + per_tile_length, + ) + last_tiled_slices_shape = (self.tile_num, per_tile_length) + tiled_points_shape = (self.tile_num,) + tuple(bba[2].shape) + + if self.use_sharding: + # Use the shardings/padded shapes pre-computed in _init_shardings so + # the compile-time and run-time placements agree. + return [ + jax.ShapeDtypeStruct( + self.fused_reg_slices_padded, + jnp.int32, + sharding=self.fused_reg_slices_sharding, + ), + jax.ShapeDtypeStruct( + self.fused_last_slices_padded, + jnp.int32, + sharding=self.fused_last_slices_sharding, + ), + jax.ShapeDtypeStruct( + self.fused_tiled_points_padded, + jnp.uint32, + sharding=self.fused_tiled_points_sharding, + ), + bba[3], + bba[4], + bws[2], + ] + return [ + jax.ShapeDtypeStruct(regular_tiled_slices_shape, jnp.int32), + jax.ShapeDtypeStruct(last_tiled_slices_shape, jnp.int32), + jax.ShapeDtypeStruct(tiled_points_shape, jnp.uint32), + bba[3], + bba[4], + bws[2], + ] + + def multiscalar_multiply(self, tiled_slices: jnp.ndarray): + if not self.use_fused: + return self._multiscalar_multiply(tiled_slices) + + # Fused path: split regular / last slices so they can carry independent + # shardings. self.points is already placed in per-tile layout. + regular_tiled_slices = tiled_slices[:, : self.window_num - 1] + last_tiled_slices = tiled_slices[:, self.window_num - 1] + + if self.use_sharding: + regular_tiled_slices = regular_tiled_slices.to_device( + self.fused_reg_slices_sharding + ) + last_tiled_slices = last_tiled_slices.to_device( + self.fused_last_slices_sharding + ) + + args = ( + regular_tiled_slices, + last_tiled_slices, + self.points, + self.regular_window_buckets, + self.last_window_buckets, + self.window_sum, + ) + if self.use_compiled_kernels: + kernel_hash = hash_args( + *(v for a in args for v in (a.shape, a.dtype.__str__())) + ) + return self.compiled_kernels[kernel_hash]["multiscalar_multiply_fused"]( + *args + ) + return self._multiscalar_multiply_fused(*args) diff --git a/jaxite_ec/multiscalar_multiplication_perf_test.py b/jaxite_ec/multiscalar_multiplication_perf_test.py new file mode 100644 index 0000000..c7eaf2d --- /dev/null +++ b/jaxite_ec/multiscalar_multiplication_perf_test.py @@ -0,0 +1,211 @@ +import os + +import jax +from jaxite.jaxite_ec import utils +import jaxite.jaxite_ec.elliptic_curve_context as ec_context +import jaxite.jaxite_ec.finite_field_context as ff_context +import jaxite.jaxite_ec.multiscalar_multiplication_context as msm_context +from jaxite.jaxite_ec.profiler import ( + PrecompiledKernelWrapper, + Profiler, + collect_logs, +) +from jaxite.jaxite_ec.utils import hash_args + +from absl.testing import absltest +from absl.testing import parameterized + +jax.config.update("jax_enable_x64", True) + +MODULUS_377_INT = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 +NUM_MODULI = 32 +RNS_MODULI = utils.find_moduli_specified_number(NUM_MODULI, 28) + +MSM_LENGTH_LIST = [2**10] +SLICE_BITS = 10 +SCALAR_BITS = 253 + +TEST_PARAMS_MSM_FUSION = [ + ("msm_fusion", MSM_LENGTH_LIST), +] + + +def _build_msm_parameters(msm_length: int): + ff_parameters = { + "prime": MODULUS_377_INT, + "rns_moduli": RNS_MODULI, + "precision_bits": 28, + "radix_bits": 32, + } + ec_parameters = { + "finite_field_context_class": ff_context.DRNSlazyContext, + "finite_field_parameters": ff_parameters, + "prime": ( + 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177 + ), + "order": ( + 8444461749428370424248824938781546531375899335154063827935233455917409239041 + ), + "a": -1, + "twist_d": ( + 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 + ), + "alpha": -1, + "b": 1, + "s": ( + 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 + ), + "MA": ( + 228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384 + ), + "MB": ( + 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 + ), + "t": ( + 23560188534917577818843641916571445935985386319233886518929971599490231428764380923487987729215299304184915158756 + ), + "generator": [ + 71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393, + 6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235, + ], + } + return { + "elliptic_curve_context_class": ( + ec_context.ExtendedTwistedEdwardsNDContext + ), + "elliptic_curve_parameters": ec_parameters, + "coordinate_dim": 4, + "msm_length": msm_length, + "tile_length": msm_length, + "slice_bits": SLICE_BITS, + "scalar_bits": SCALAR_BITS, + "order": ec_parameters["order"], + "c_kernel_ret_space_ratio": 2, + } + + +def _build_fusion_ctx(msm_length: int): + """Mirrors scratch_profile_msm_fused.py: sharded fused MSM with + + pre-compiled kernels. The context's multiscalar_multiply internally + dispatches to these already-compiled, already-sharded kernels — so it + must NOT be re-traced under jax.jit. + """ + params = _build_msm_parameters(msm_length) + ctx = msm_context.FusionMSMContext(params) + ctx.set_use_compiled_kernels(True) + ctx.set_use_sharding(True) + ctx.compile(parameters={"use_fused": True}) + return ctx + + +class FusionMSMPerformanceTest(parameterized.TestCase): + + def setUp(self): + super().setUp() + outputs_dir = os.environ.get("TEST_UNDECLARED_OUTPUTS_DIR") + if outputs_dir: + self.output_trace_root = os.path.join(outputs_dir, "log") + else: + self.output_trace_root = os.path.join(os.path.dirname(__file__), "log") + self.profiler_config = { + "iterations": 1, + "save_to_file": True, + "enable_sharding": True, + } + + @classmethod + def tearDownClass(cls): + super().tearDownClass() + outputs_dir = os.environ.get("TEST_UNDECLARED_OUTPUTS_DIR") + root_dir = ( + outputs_dir + if outputs_dir + else os.path.dirname(os.path.abspath(__file__)) + ) + print(f"Collecting logs from: {root_dir}") + collect_logs(root_dir) + + def _create_fusion_msm_wrapper(self, kernel_name, ctx, tiled_slices): + """Profile ``_multiscalar_multiply_fused`` — the individual jit-able kernel. + + ``ctx.multiscalar_multiply`` is a Python dispatcher that slices inputs, + places them on shardings, and hashes into ``compiled_kernels``; it isn't + itself a kernel. We reproduce its setup once here, then hand the + already-compiled executable + concrete inputs to the profiler. + """ + # Replicate the slicing ctx.multiscalar_multiply does for the fused path. + regular_tiled_slices = tiled_slices[:, : ctx.window_num - 1] + last_tiled_slices = tiled_slices[:, ctx.window_num - 1] + if ctx.use_sharding: + regular_tiled_slices = regular_tiled_slices.to_device( + ctx.fused_reg_slices_sharding + ) + last_tiled_slices = last_tiled_slices.to_device( + ctx.fused_last_slices_sharding + ) + + input_arrays = [ + regular_tiled_slices, + last_tiled_slices, + ctx.points, + ctx.regular_window_buckets, + ctx.last_window_buckets, + ctx.window_sum, + ] + + # Pull the already-compiled kernel out of ctx — same hash scheme as + # ctx.multiscalar_multiply uses at dispatch time. + kernel_hash = hash_args( + *(v for a in input_arrays for v in (a.shape, a.dtype.__str__())) + ) + compiled_fn = ctx.compiled_kernels[kernel_hash][ + "multiscalar_multiply_fused" + ] + # compiled_fn = None + + return PrecompiledKernelWrapper( + kernel_name=kernel_name, + callable_function=compiled_fn, + input_arrays=input_arrays, + enable_sharding=True, + callable_function_name="_multiscalar_multiply_fused", # it is important for collecting the correct trace events + ) + + @parameterized.named_parameters(*TEST_PARAMS_MSM_FUSION) + def test_fusion_msm_performance(self, msm_length_list): + profiler_instance = Profiler( + output_trace_path=self.output_trace_root, + profile_naming="msm_fusion", + configuration=self.profiler_config, + ) + + for msm_length in msm_length_list: + ctx = _build_fusion_ctx(msm_length) + tiled_slices = ctx.to_computational_format(None) + + kernel_name = f"msm_fusion_n{msm_length}" + kernel_wrapper = self._create_fusion_msm_wrapper( + kernel_name=kernel_name, + ctx=ctx, + tiled_slices=tiled_slices, + ) + profiler_instance.add_profile( + name=kernel_name, + kernel_wrapper=kernel_wrapper, + kernel_setting_cols={ + "msm_length": msm_length, + "slice_bits": SLICE_BITS, + "scalar_bits": SCALAR_BITS, + "num_moduli": NUM_MODULI, + "use_sharding": True, + "use_fused": True, + }, + ) + + profiler_instance.profile_all_profilers() + profiler_instance.post_process_all_profilers() + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/multiscalar_multiplication_test.py b/jaxite_ec/multiscalar_multiplication_test.py new file mode 100644 index 0000000..ab4b935 --- /dev/null +++ b/jaxite_ec/multiscalar_multiplication_test.py @@ -0,0 +1,126 @@ +import os + +import jax +import jaxite.jaxite_ec.elliptic_curve_context as ec_context +import jaxite.jaxite_ec.finite_field_context as ff_context +import jaxite.jaxite_ec.multiscalar_multiplication_context as msm_context +import jaxite.jaxite_ec.utils as utils +import numpy as np + +from absl.testing import absltest +from absl.testing import parameterized + +jax.config.update("jax_enable_x64", True) + +MODULUS_377_INT = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 +NUM_MODULI = 32 +RNS_MODULI = utils.find_moduli_specified_number(NUM_MODULI, 28) + +MSM_DIM = 2**10 +SEED = 0 +MSM_TEST_DIR = os.path.join(os.path.dirname(__file__), "data", f"t{MSM_DIM}") +POINTS_PATH = os.path.join( + MSM_TEST_DIR, f"zprize_msm_curve_377_bases_dim_{MSM_DIM}_seed_{SEED}.csv" +) +SCALARS_PATH = os.path.join( + MSM_TEST_DIR, f"zprize_msm_curve_377_scalars_dim_{MSM_DIM}_seed_{SEED}.csv" +) +REF_RESULT_PATH = os.path.join( + MSM_TEST_DIR, f"zprize_msm_curve_377_res_dim_{MSM_DIM}_seed_{SEED}.csv" +) + + +def _build_msm_parameters(): + ff_parameters = { + "prime": MODULUS_377_INT, + "rns_moduli": RNS_MODULI, + "precision_bits": 28, + "radix_bits": 32, + } + ec_parameters = { + "finite_field_context_class": ff_context.DRNSlazyContext, + "finite_field_parameters": ff_parameters, + "prime": ( + 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177 + ), + "order": ( + 8444461749428370424248824938781546531375899335154063827935233455917409239041 + ), + "a": -1, + "twist_d": ( + 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 + ), + "alpha": -1, + "b": 1, + "s": ( + 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 + ), + "MA": ( + 228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384 + ), + "MB": ( + 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931 + ), + "t": ( + 23560188534917577818843641916571445935985386319233886518929971599490231428764380923487987729215299304184915158756 + ), + "generator": [ + 71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393, + 6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235, + ], + } + return { + "elliptic_curve_context_class": ( + ec_context.ExtendedTwistedEdwardsNDContext + ), + "elliptic_curve_parameters": ec_parameters, + "coordinate_dim": 4, + "msm_length": MSM_DIM, + "tile_length": MSM_DIM, + "slice_bits": 6, + "scalar_bits": 253, + "order": ec_parameters["order"], + "points_path": POINTS_PATH, + "c_kernel_ret_space_ratio": 2, + } + + +MSM_CONTEXT_CASES = [ + ("cpu_distribution", msm_context.CPUDistributionMSMContext, False), + ("tpu_distribution", msm_context.TPUDistributionMSMContext, False), + ("fusion", msm_context.FusionMSMContext, True), +] + + +class MsmBls12377Test(parameterized.TestCase): + + def setUp(self): + super().setUp() + self.msm_parameters = _build_msm_parameters() + self.scalars = utils.read_external_msm_file(SCALARS_PATH, "scalars") + self.ref_result = utils.read_external_msm_file( + REF_RESULT_PATH, "result_ref" + ) + + def _run_msm(self, context_class, use_fused): + ctx = context_class(self.msm_parameters) + ctx.set_use_compiled_kernels(True) + compile_kwargs = {"use_fused": True} if use_fused else {} + ctx.compile(parameters=compile_kwargs) + + tiled_slices = ctx.to_computational_format(self.scalars) + result_m = ctx.multiscalar_multiply(tiled_slices) + return ctx.to_original_format(result_m) + + @parameterized.named_parameters(*MSM_CONTEXT_CASES) + def test_multiscalar_multiply_matches_reference( + self, context_class, use_fused + ): + result = self._run_msm(context_class, use_fused) + np.testing.assert_array_equal( + np.asarray(result), np.asarray(self.ref_result) + ) + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/number_theory_transform_context.py b/jaxite_ec/number_theory_transform_context.py new file mode 100644 index 0000000..14f7134 --- /dev/null +++ b/jaxite_ec/number_theory_transform_context.py @@ -0,0 +1,834 @@ +from abc import ABC, abstractmethod +from typing import Any, Dict +import jax +import jax.numpy as jnp +from jaxite.jaxite_ec import utils +from jaxite.jaxite_ec.finite_field_context import ( + CROSSLazyContext, + DRNSlazyContext, +) +import numpy as np + +jax.config.update("jax_enable_x64", True) + + +######################## +# Helper Functions +######################## +def gen_twiddle_matrix(rows, cols, q, omega): + """Precompute twiddle matrix T where T[r, c] = omega^(r*c) mod q. + + Stored as ``dtype=object`` so the cells hold arbitrary-precision Python + ints; needed because ``q`` can exceed 64 bits (e.g. the 753-bit ZKP + prime used in the perf test). + """ + twiddle_matrix = np.empty((rows, cols), dtype=object) + for r in range(rows): + for c in range(cols): + twiddle_matrix[r, c] = pow(int(omega), int(r * c), int(q)) + return twiddle_matrix + + +def gen_twiddle_matrix_inv(rows, cols, q, omega): + """Precompute inverse twiddle matrix T_inv where T_inv[r, c] = omega^{-(r*c)} mod q.""" + twiddle_matrix_inv = np.empty((rows, cols), dtype=object) + for r in range(rows): + for c in range(cols): + twiddle_matrix_inv[r, c] = pow(int(omega), int(-r * c), int(q)) + return twiddle_matrix_inv + + +def get_bit_reverse_perm(n): + """Generates bit-reversal permutation indices of size n.""" + if n <= 0: + return [] + bits = n.bit_length() - 1 + perm = [0] * n + for i in range(n): + r = 0 + temp = i + for _ in range(bits): + r = (r << 1) | (temp & 1) + temp >>= 1 + perm[i] = r + return perm + + +######################## +# Abstract Base Class +######################## +class NumberTheoryTransformBase(ABC): + """Abstract base class for all NTT context implementations.""" + + @abstractmethod + def ntt(self, v): + """Forward Number Theory Transform.""" + pass + + @abstractmethod + def intt(self, v): + """Inverse Number Theory Transform.""" + pass + + @abstractmethod + def to_computational_format(self, a): + """Convert from plain integers to the internal computational representation.""" + pass + + @abstractmethod + def to_original_format(self, a): + """Convert from internal representation back to a flat list of integers.""" + pass + + +######################## +# BAT (Basis Aligned Transformation) helpers +######################## +def basis_aligned_transformation( + matrix_drns: np.ndarray, rns_moduli +) -> jnp.ndarray: + """Convert a 2-D DRNS twiddle matrix to BAT format for 8-bit matmul. + + Each uint32 value is byte-shifted by 0/8/16/24 bits, reduced mod each + RNS modulus, then bitcast to uint8. + + Args: + matrix_drns: DRNS twiddle, shape (rows, cols, num_moduli) uint32. + rns_moduli: sequence of RNS moduli. + + Returns: + BAT matrix of shape (rows, 4, cols, 4, num_moduli) uint8. + """ + rows, cols, M = np.array(matrix_drns).shape + matrix_u64 = np.array(matrix_drns, dtype=np.uint64) + moduli = np.array(rns_moduli, dtype=np.uint64) + + # (4, rows, cols, M) — byte-shifted and reduced per channel + shifted = np.empty((4, rows, cols, M), dtype=np.uint32) + for s in range(4): + shifted[s] = ((matrix_u64 << (8 * s)) % moduli).astype(np.uint32) + + # Bitcast uint32 → uint8: (4, rows, cols, M) → (4, rows, cols, M*4) → (4, rows, cols, M, 4) + shifted_u8 = shifted.view(np.uint8).reshape(4, rows, cols, M, 4) + + # Rearrange to (rows, 4_shift, cols, 4_bytes, M) + shifted_u8 = shifted_u8.transpose(1, 0, 2, 4, 3) + return jnp.array(shifted_u8) + + +def matmul_bat_einsum( + v: jax.Array, bat_twiddle: jax.Array, subscripts: str +) -> jax.Array: + """BAT-based 8-bit matrix multiplication. + + Bitcasts the input from uint32 to uint8, performs an 8-bit einsum with + the pre-processed BAT twiddle, and reconstructs the uint64 result via + byte-shifting. + + Args: + v: Input array (uint32). The trailing dimension (num_moduli) is expanded + to (num_moduli, 4) by bitcast. + bat_twiddle: BAT twiddle (uint8), pre-computed offline. + subscripts: Einsum subscript string including the byte dimensions. + + Returns: + uint64 result array (trailing moduli dimension, byte dim summed out). + """ + v_u8 = jax.lax.bitcast_convert_type(v, jnp.uint8) + shift_factors = jnp.array([0, 8, 16, 24], dtype=jnp.uint32) + products = jnp.einsum( + subscripts, v_u8, bat_twiddle, preferred_element_type=jnp.uint32 + ) + return jnp.sum(products.astype(jnp.uint64) << shift_factors, axis=-1) + + +######################## +# BAT subscript generator (right-convention only) +######################## +_BAT_RESERVED_LETTERS = frozenset("mqpj") + + +def _bat_subscripts_right(v_ndim: int, contract_axis: int) -> str: + """Einsum subscripts for BAT-based right-convention matmul. + + Operand ``v`` has shape ``(*leading, M)`` with ``v_ndim == len(leading) + 1``; + after bitcast-to-u8 it grows a trailing size-4 byte axis. The twiddle + handle has shape ``(K, 4, J, 4, M)``: axis 0 is the contracted dim, axis + 2 is the produced dim. The axis at ``contract_axis`` of ``v`` (size K) + is replaced on the output by an axis of size J. + """ + if contract_axis < 0: + contract_axis += v_ndim + if not (0 <= contract_axis < v_ndim - 1): + raise ValueError( + "contract_axis must be a leading axis of v " + f"(got {contract_axis} for v.ndim={v_ndim})" + ) + letters = [] + c = ord("a") + while len(letters) < v_ndim - 1: + ch = chr(c) + if ch not in _BAT_RESERVED_LETTERS: + letters.append(ch) + c += 1 + k = letters[contract_axis] + v_sub = "".join(letters) + "mq" + out_letters = letters.copy() + out_letters[contract_axis] = "j" + t_sub = f"{k}qjpm" + out_sub = "".join(out_letters) + "mp" + return f"{v_sub},{t_sub}->{out_sub}" + + +######################## +# Extension contexts — add NTT-specific modular_matmul / twiddle helpers +# on top of the finite-field backends. The NTT layer only ever consumes +# the abstract API exposed here, not the backend internals. +######################## +class DRNSLazyExtensionContext(DRNSlazyContext): + """``DRNSlazyContext`` + NTT-specific modular matrix multiplication. + + Exposes: + * :py:meth:`preprocess_matmul` — 2-D integer matrix → BAT + uint8 handle of shape ``(K, 4, J, 4, M)``. + * :py:meth:`preprocess_elementwise` — N-D integer tensor → + DRNS computational-format uint32 tensor of shape ``(..., M)``. + * :py:meth:`modular_matmul` — right-convention modular matmul + (BAT einsum + Montgomery → CRNS → Montgomery). Only supports the + matmul-shape used by the NTT stack (contract axis 0 of the handle). + * :py:meth:`modular_multiply_broadcast` — broadcasting element-wise + modular multiply for twiddle steps. + """ + + def __init__(self, parameters: Dict[str, Any]): + super().__init__(parameters) + self.for_ntt = True + + def preprocess_matmul(self, mat_2d) -> jnp.ndarray: + """Encode a 2-D ``(K, J)`` integer matrix as a BAT uint8 handle.""" + arr = np.asarray(mat_2d) + if arr.ndim != 2: + raise ValueError(f"matmul twiddle must be 2-D, got shape {arr.shape}") + # Reduce mod each RNS modulus in Python-int space so this stays correct + # for primes wider than 64 bits. Output fits in uint32 (moduli < 2^28). + if arr.dtype != object: + arr = arr.astype(object) + moduli_obj = np.array(self.rns_moduli, dtype=object) + drns_obj = ( + (arr[..., np.newaxis] % moduli_obj) << self.radix_bits + ) % moduli_obj + return basis_aligned_transformation( + drns_obj.astype(np.uint32), self.rns_moduli + ) + + def preprocess_elementwise(self, mat_nd) -> jnp.ndarray: + """Encode an arbitrary-rank integer tensor in DRNS computational form.""" + arr = np.asarray(mat_nd) + if arr.dtype != object: + arr = arr.astype(object) + moduli_obj = np.array(self.rns_moduli, dtype=object) + drns_obj = ( + (arr[..., np.newaxis] % moduli_obj) << self.radix_bits + ) % moduli_obj + return jnp.array(drns_obj.astype(np.uint32)) + + def modular_matmul( + self, operand: jax.Array, handle: jax.Array, contract_axis: int + ) -> jax.Array: + """Modular matmul contracting ``operand[contract_axis]`` against + + ``handle[0]``. ``handle`` must come from + :py:meth:`preprocess_matmul`. + """ + operand = jnp.asarray(operand) + subs = _bat_subscripts_right(operand.ndim, contract_axis) + z = matmul_bat_einsum(operand, handle, subs) + z = self._jax_montgomery_reduce(z) + z = self._jax_crns(z) + z = self._jax_montgomery_reduce(z) + return z.astype(jnp.uint32) + + def modular_multiply_broadcast(self, a: jax.Array, b: jax.Array) -> jax.Array: + """Element-wise modular multiply with numpy-style broadcasting.""" + return self._modular_multiply(a, b) + + +class CROSSLazyExtensionContext(CROSSLazyContext): + """``CROSSLazyContext`` + NTT-specific modular matrix multiplication. + + Same four-method API as :py:class:`DRNSLazyExtensionContext`. The + matmul path here is a ``fori_loop`` that accumulates per-``k`` + broadcast products via ``_modular_multiply`` + ``_modular_add`` + (there is no dense-MXU-friendly representation for multi-limb CROSS + elements). + """ + + def __init__(self, parameters: Dict[str, Any]): + super().__init__(parameters) + self.for_ntt = True + + def _encode_chunks(self, mat) -> jnp.ndarray: + """Encode an integer tensor as little-endian uint32 chunks.""" + arr = np.asarray(mat) + flat = [int(x) % self.prime for x in arr.reshape(-1).tolist()] + n = self.chunk_num_u32 + chunks = np.zeros((len(flat), n), dtype=np.uint32) + for i, v in enumerate(flat): + x = v + for j in range(n): + chunks[i, j] = x & 0xFFFFFFFF + x >>= 32 + return jnp.asarray(chunks.reshape(arr.shape + (n,))) + + def preprocess_matmul(self, mat_2d) -> jnp.ndarray: + arr = np.asarray(mat_2d) + if arr.ndim != 2: + raise ValueError(f"matmul twiddle must be 2-D, got shape {arr.shape}") + return self._encode_chunks(arr) + + def preprocess_elementwise(self, mat_nd) -> jnp.ndarray: + return self._encode_chunks(mat_nd) + + def modular_multiply_broadcast(self, a: jax.Array, b: jax.Array) -> jax.Array: + """Element-wise modular multiply with broadcasting. + + Uses nested ``vmap`` so sharded callers (running under ``shard_map``) + see consistent axis sharding between the two operands. + """ + shape = jnp.broadcast_shapes(a.shape, b.shape) + a_b = jnp.broadcast_to(a, shape) + b_b = jnp.broadcast_to(b, shape) + fn = self._modular_multiply + for _ in range(len(shape) - 2): + fn = jax.vmap(fn) + return fn(a_b, b_b) + + def modular_matmul( + self, operand: jax.Array, handle: jax.Array, contract_axis: int + ) -> jax.Array: + """Modular matmul contracting ``operand[contract_axis]`` against + + ``handle[0]``. ``handle`` must come from + :py:meth:`preprocess_matmul` and is ``(K, J, chunks)``. + """ + operand = jnp.asarray(operand) + handle = jnp.asarray(handle) + if contract_axis < 0: + contract_axis += operand.ndim + if not (0 <= contract_axis < operand.ndim - 1): + raise ValueError( + "contract_axis must be a leading axis of operand " + f"(got {contract_axis} for operand.ndim={operand.ndim})" + ) + nc = self.chunk_num_u32 + v_moved = jnp.moveaxis(operand, contract_axis, 0) # (K, *rest, chunks) + K = v_moved.shape[0] + J = handle.shape[1] + rest = v_moved.shape[1:-1] + out_shape = (J,) + rest + (nc,) + t_reshape = (J,) + (1,) * len(rest) + (nc,) + + def body(k, acc): + vk = v_moved[k] + tk = handle[k, :, :].reshape(t_reshape) + prod = self.modular_multiply_broadcast(vk[None], tk) + return self._modular_add(acc, prod) + + init = jnp.zeros(out_shape, dtype=jnp.uint32) + out = jax.lax.fori_loop(0, K, body, init) + return jnp.moveaxis(out, 0, contract_axis) + + +######################## +# Unified NTT stack — one class per step count, works with either +# extension context above. The extension context is what lets the NTT +# layer stay backend-agnostic. +######################## +class NumpyCPUContext: + """Pure-numpy CPU reference context compatible with the unified NTT stack. + + Exposes the same ``preprocess_matmul`` / ``preprocess_elementwise`` + / ``modular_matmul`` / ``modular_multiply_broadcast`` / + ``to_computational_format`` / ``to_original_format`` API as + :class:`DRNSLazyExtensionContext` and :class:`CROSSLazyExtensionContext`, + so that :class:`NTT3Step` / :class:`NTT5Step` / :class:`NTT7Step` + reproduce the same outputs as the CPU reference classes + (:class:`CPUCROSSContext`, :class:`CPUCROSS5StepContext`, + :class:`CPUCROSS7StepContext`). + + Each field element is stored as a single ``uint64`` with a trailing + size-1 "chunks" axis (matching the layout the NTT layer expects). + All arithmetic is a plain ``numpy`` multiply / tensordot followed by + ``% prime`` — correctness only, no JAX / no TPU. + """ + + def __init__(self, parameters: Dict[str, Any]): + self.prime = int(parameters["prime"]) + self.for_ntt = True + + # ---------- format conversion ---------- + + def to_computational_format(self, a) -> np.ndarray: + """Wrap ``a`` as an ``(..., 1)`` uint64 ndarray.""" + arr = np.asarray(a, dtype=np.uint64) + return arr[..., np.newaxis] + + def to_original_format(self, a): + """Reduce, flatten, return a flat list of Python ints.""" + arr = np.asarray(a, dtype=np.uint64) + return (arr.reshape(-1) % self.prime).tolist() + + # ---------- twiddle preprocessing ---------- + + def preprocess_matmul(self, mat_2d) -> np.ndarray: + arr = np.asarray(mat_2d) + if arr.ndim != 2: + raise ValueError(f"matmul twiddle must be 2-D, got shape {arr.shape}") + if arr.dtype != object: + arr = arr.astype(object) + return (arr % self.prime).astype(np.uint64)[..., np.newaxis] + + def preprocess_elementwise(self, mat_nd) -> np.ndarray: + arr = np.asarray(mat_nd) + if arr.dtype != object: + arr = arr.astype(object) + return (arr % self.prime).astype(np.uint64)[..., np.newaxis] + + # ---------- modular arithmetic ---------- + + def modular_matmul( + self, operand: np.ndarray, handle: np.ndarray, contract_axis: int + ) -> np.ndarray: + """Right-convention modular matmul along ``contract_axis``. + + ``operand`` has trailing size-1 axis (the "chunks" axis). + ``handle`` has shape ``(K, J, 1)`` — axis 0 is the contracted dim. + """ + op = np.asarray(operand, dtype=np.uint64)[..., 0] + h = np.asarray(handle, dtype=np.uint64)[..., 0] + if contract_axis < 0: + contract_axis += op.ndim + 1 # +1 because we squeezed trailing chunks + # tensordot contracts op.axes[contract_axis] with h.axis[0]; the new + # J axis from h lands at the end of the result, so move it back to + # ``contract_axis``. + out = np.tensordot(op, h, axes=([contract_axis], [0])) + out = np.moveaxis(out, -1, contract_axis) + out = out % self.prime + return out[..., np.newaxis] + + def modular_multiply_broadcast( + self, a: np.ndarray, b: np.ndarray + ) -> np.ndarray: + """Broadcasting element-wise modular multiply.""" + a_arr = np.asarray(a, dtype=np.uint64) + b_arr = np.asarray(b, dtype=np.uint64) + return (a_arr * b_arr) % self.prime + + +class NTTBase(NumberTheoryTransformBase): + """Shared scaffolding for the unified NTT classes. + + All NTT classes below follow the same algorithm skeleton (precompute + twiddles via :py:func:`gen_twiddle_matrix`, apply bit-reversal + permutations, then alternate matmul / element-wise twiddle steps) + and dispatch all arithmetic through the extension context passed in + as ``finite_field_context``. + + The ``finite_field_context`` parameter accepts either: + + * An already-constructed extension context instance + (``DRNSLazyExtensionContext``, ``CROSSLazyExtensionContext``, or + ``NumpyCPUContext``). + * A backend string (``"drns"``, ``"cross"``, or ``"cpu"``), in which + case the extension context is auto-constructed from the remaining + parameters: + + ============ ======================================================= + ``"drns"`` ``num_moduli`` (default 21), ``precision_bits`` (28), + ``radix_bits`` (32). + ``"cross"`` ``chunk_num_u8`` (default derived from prime bit-length). + ``"cpu"`` No extra parameters. + ============ ======================================================= + """ + + @staticmethod + def _build_ff_ctx(parameters: dict): + """Auto-construct an extension context from top-level parameters. + + If ``finite_field_context`` is already an instance, return it as-is. + If it's a backend string, build the matching extension context using + ``prime`` and the optional sizing parameters from ``parameters``. + """ + ff_ctx = parameters["finite_field_context"] + if isinstance(ff_ctx, str): + prime = parameters["prime"] + backend = ff_ctx.lower() + if backend == "drns": + num_moduli = parameters.get("num_moduli", 21) + precision_bits = parameters.get("precision_bits", 28) + radix_bits = parameters.get("radix_bits", 32) + rns_moduli = utils.find_moduli_specified_number( + num_moduli, precision_bits + ) + return DRNSLazyExtensionContext({ + "prime": prime, + "rns_moduli": rns_moduli, + "precision_bits": precision_bits, + "radix_bits": radix_bits, + }) + elif backend == "cross": + ctx_params = {"prime": prime} + if "chunk_num_u8" in parameters: + ctx_params["chunk_num_u8"] = parameters["chunk_num_u8"] + return CROSSLazyExtensionContext(ctx_params) + elif backend == "cpu": + return NumpyCPUContext({"prime": prime}) + else: + raise ValueError( + f"Unknown backend {ff_ctx!r}; use 'drns', 'cross', or 'cpu'" + ) + return ff_ctx + + def __init__(self, ff_ctx, spatial_shape: tuple): + if not getattr(ff_ctx, "for_ntt", False): + raise TypeError( + "finite_field_context does not declare NTT support; " + f"{type(ff_ctx).__name__} must set ``self.for_ntt = True``" + ) + self.ff_ctx = ff_ctx + self._spatial_shape = spatial_shape + + def to_computational_format(self, a): + return self.ff_ctx.to_computational_format(a) + + def to_original_format(self, a): + a = jnp.asarray(a) + trailing = a.shape[-1] + return self.ff_ctx.to_original_format(a.reshape(-1, trailing)) + + def _ensure_ntt_shape(self, v: jnp.ndarray) -> jnp.ndarray: + v = jnp.asarray(v) + expected_ndim = 1 + len(self._spatial_shape) + 1 + if v.ndim < expected_ndim: + v = v.reshape(-1, *self._spatial_shape, v.shape[-1]) + return v + + +class NTT3Step(NTTBase): + """Unified 3-step NTT. Input/output shape: ``(B, R, C, trailing)``.""" + + def __init__(self, parameters: Dict[str, Any]): + self.prime = parameters["prime"] + self.r = parameters["r"] + self.c = parameters["c"] + ff_ctx = self._build_ff_ctx(parameters) + super().__init__(ff_ctx, spatial_shape=(self.r, self.c)) + + self.transform_length = self.r * self.c + psi = parameters.get("psi") + self.psi = ( + int(psi) + if psi is not None + else utils.root_of_unity(2 * self.transform_length, self.prime) + ) + self.omega = (self.psi**2) % self.prime + + # --- twiddle matrices (plain integer form) --- + omega_col = pow(self.omega, self.c, self.prime) + omega_row = pow(self.omega, self.r, self.prime) + ntt_tf1 = gen_twiddle_matrix(self.r, self.r, self.prime, omega_col) + ntt_tf2 = gen_twiddle_matrix(self.r, self.c, self.prime, self.omega) + ntt_tf3 = gen_twiddle_matrix(self.c, self.c, self.prime, omega_row) + + inv_omega_col = pow(omega_col, -1, self.prime) + inv_omega_row = pow(omega_row, -1, self.prime) + intt_tf1 = gen_twiddle_matrix(self.c, self.c, self.prime, inv_omega_row) + intt_tf2 = gen_twiddle_matrix_inv(self.r, self.c, self.prime, self.omega) + col_inv = pow(self.c, -1, self.prime) + row_inv = pow(self.r, -1, self.prime) + intt_tf2 = (intt_tf2 * col_inv) % self.prime + intt_tf3 = gen_twiddle_matrix(self.r, self.r, self.prime, inv_omega_col) + intt_tf3 = (intt_tf3 * row_inv) % self.prime + + # --- bit-reversal permutations --- + perm_r = get_bit_reverse_perm(self.r) + perm_c = get_bit_reverse_perm(self.c) + ntt_tf1 = ntt_tf1[perm_r, :] + ntt_tf2 = ntt_tf2[perm_r, :] + ntt_tf3 = ntt_tf3[:, perm_c] + intt_tf1 = intt_tf1[perm_c, :] + intt_tf2 = intt_tf2[perm_r, :] + intt_tf3 = intt_tf3[:, perm_r] + + # Right-convention handles: the contracted dim is at axis 0 of the + # handle. Step 1 of NTT is logically "T1 @ v along R", which becomes + # right-matmul of v against T1.T; step 3 is already "v @ T3". + self.ntt_t1 = ff_ctx.preprocess_matmul(ntt_tf1.T) + self.ntt_t2 = ff_ctx.preprocess_elementwise(ntt_tf2) + self.ntt_t3 = ff_ctx.preprocess_matmul(ntt_tf3) + self.intt_t1 = ff_ctx.preprocess_matmul(intt_tf1) + self.intt_t2 = ff_ctx.preprocess_elementwise(intt_tf2) + self.intt_t3 = ff_ctx.preprocess_matmul(intt_tf3.T) + + def ntt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) # (B, R, C, trailing) + v = self.ff_ctx.modular_matmul(v, self.ntt_t1, contract_axis=1) + v = self.ff_ctx.modular_multiply_broadcast(v, self.ntt_t2) + v = self.ff_ctx.modular_matmul(v, self.ntt_t3, contract_axis=2) + return v + + def intt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) + v = self.ff_ctx.modular_matmul(v, self.intt_t1, contract_axis=2) + v = self.ff_ctx.modular_multiply_broadcast(v, self.intt_t2) + v = self.ff_ctx.modular_matmul(v, self.intt_t3, contract_axis=1) + return v + + +class NTT5Step(NTTBase): + """Unified 5-step NTT. Shape: ``(B, RR, RC, C, trailing)``.""" + + def __init__(self, parameters: Dict[str, Any]): + self.prime = parameters["prime"] + self.rr = parameters["rr"] + self.rc = parameters["rc"] + self.c = parameters["c"] + ff_ctx = self._build_ff_ctx(parameters) + super().__init__(ff_ctx, spatial_shape=(self.rr, self.rc, self.c)) + + self.transform_length = self.rr * self.rc * self.c + R = self.rr * self.rc + psi = parameters.get("psi") + self.psi = ( + int(psi) + if psi is not None + else utils.root_of_unity(2 * self.transform_length, self.prime) + ) + self.omega = (self.psi**2) % self.prime + + omega_R = pow(self.omega, self.c, self.prime) + omega_RR = pow(omega_R, self.rc, self.prime) + omega_RC = pow(omega_R, self.rr, self.prime) + omega_C = pow(self.omega, R, self.prime) + + ntt_T1 = gen_twiddle_matrix(self.rr, self.rr, self.prime, omega_RR) + ntt_T2 = gen_twiddle_matrix(self.rr, self.rc, self.prime, omega_R) + ntt_T3 = gen_twiddle_matrix(self.rc, self.rc, self.prime, omega_RC) + ntt_T4 = gen_twiddle_matrix(R, self.c, self.prime, self.omega).reshape( + self.rr, self.rc, self.c + ) + ntt_T5 = gen_twiddle_matrix(self.c, self.c, self.prime, omega_C) + + inv_omega_RR = pow(omega_RR, -1, self.prime) + inv_omega_RC = pow(omega_RC, -1, self.prime) + inv_omega_C = pow(omega_C, -1, self.prime) + rr_inv = pow(self.rr, -1, self.prime) + rc_inv = pow(self.rc, -1, self.prime) + c_inv = pow(self.c, -1, self.prime) + + intt_T5 = gen_twiddle_matrix(self.c, self.c, self.prime, inv_omega_C) + intt_T4 = gen_twiddle_matrix_inv(R, self.c, self.prime, self.omega).reshape( + self.rr, self.rc, self.c + ) + intt_T4 = (intt_T4 * c_inv) % self.prime + intt_t3 = gen_twiddle_matrix(self.rc, self.rc, self.prime, inv_omega_RC) + intt_T2 = gen_twiddle_matrix_inv(self.rr, self.rc, self.prime, omega_R) + intt_T2 = (intt_T2 * rc_inv) % self.prime + intt_T1 = gen_twiddle_matrix(self.rr, self.rr, self.prime, inv_omega_RR) + intt_T1 = (intt_T1 * rr_inv) % self.prime + + perm_rr = get_bit_reverse_perm(self.rr) + perm_rc = get_bit_reverse_perm(self.rc) + perm_c = get_bit_reverse_perm(self.c) + + ntt_T1 = ntt_T1[perm_rr, :] + ntt_T2 = ntt_T2[perm_rr, :] + ntt_T3 = ntt_T3[:, perm_rc] + perm_R = get_bit_reverse_perm(R) + ntt_T4 = ntt_T4.reshape(R, self.c)[perm_R, :].reshape( + self.rr, self.rc, self.c + ) + ntt_T5 = ntt_T5[:, perm_c] + + intt_T5 = intt_T5[perm_c, :] + intt_T4 = intt_T4.reshape(R, self.c)[perm_R, :].reshape( + self.rr, self.rc, self.c + ) + intt_t3 = intt_t3[perm_rc, :] + intt_T2 = intt_T2[perm_rr, :] + intt_T1 = intt_T1[:, perm_rr] + + # Matmul twiddles: transpose when the original step was left-matmul. + self.ntt_T1 = ff_ctx.preprocess_matmul( + ntt_T1.T + ) # left-mat → right via transpose + self.ntt_T2 = ff_ctx.preprocess_elementwise(ntt_T2) # (RR, RC, trailing) + self.ntt_T3 = ff_ctx.preprocess_matmul(ntt_T3) # right-mat + self.ntt_T4 = ff_ctx.preprocess_elementwise(ntt_T4) # (RR, RC, C, trailing) + self.ntt_T5 = ff_ctx.preprocess_matmul(ntt_T5) # right-mat + + self.intt_T5 = ff_ctx.preprocess_matmul(intt_T5) + self.intt_T4 = ff_ctx.preprocess_elementwise(intt_T4) + self.intt_T3 = ff_ctx.preprocess_matmul(intt_t3) + self.intt_T2 = ff_ctx.preprocess_elementwise(intt_T2) + self.intt_T1 = ff_ctx.preprocess_matmul( + intt_T1.T + ) # undo the step-1 left-mat + + def ntt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) # (B, RR, RC, C, trailing) + v = self.ff_ctx.modular_matmul(v, self.ntt_T1, contract_axis=1) + v = self.ff_ctx.modular_multiply_broadcast(v, self.ntt_T2[:, :, None, :]) + v = self.ff_ctx.modular_matmul(v, self.ntt_T3, contract_axis=2) + v = self.ff_ctx.modular_multiply_broadcast(v, self.ntt_T4[None]) + v = self.ff_ctx.modular_matmul(v, self.ntt_T5, contract_axis=3) + return v + + def intt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) + v = self.ff_ctx.modular_matmul(v, self.intt_T5, contract_axis=3) + v = self.ff_ctx.modular_multiply_broadcast(v, self.intt_T4[None]) + v = self.ff_ctx.modular_matmul(v, self.intt_T3, contract_axis=2) + v = self.ff_ctx.modular_multiply_broadcast(v, self.intt_T2[:, :, None, :]) + v = self.ff_ctx.modular_matmul(v, self.intt_T1, contract_axis=1) + return v + + +class NTT7Step(NTTBase): + """Unified 7-step NTT. Shape: ``(B, RR, RC, CR, CC, trailing)``.""" + + def __init__(self, parameters: Dict[str, Any]): + self.prime = parameters["prime"] + self.rr = parameters["rr"] + self.rc = parameters["rc"] + self.cr = parameters["cr"] + self.cc = parameters["cc"] + ff_ctx = self._build_ff_ctx(parameters) + super().__init__(ff_ctx, spatial_shape=(self.rr, self.rc, self.cr, self.cc)) + + r_total = self.rr * self.rc + c_total = self.cr * self.cc + self.transform_length = r_total * c_total + psi = parameters.get("psi") + self.psi = ( + int(psi) + if psi is not None + else utils.root_of_unity(2 * self.transform_length, self.prime) + ) + self.omega = (self.psi**2) % self.prime + + omega_r = pow(self.omega, c_total, self.prime) + omega_rr = pow(omega_r, self.rc, self.prime) + omega_rc = pow(omega_r, self.rr, self.prime) + omega_c = pow(self.omega, r_total, self.prime) + omega_cr = pow(omega_c, self.cc, self.prime) + omega_cc = pow(omega_c, self.cr, self.prime) + + ntt_T1 = gen_twiddle_matrix(self.rr, self.rr, self.prime, omega_rr) + ntt_T2 = gen_twiddle_matrix(self.rr, self.rc, self.prime, omega_r) + ntt_T3 = gen_twiddle_matrix(self.rc, self.rc, self.prime, omega_rc) + ntt_T4 = gen_twiddle_matrix( + r_total, c_total, self.prime, self.omega + ).reshape(self.rr, self.rc, self.cr, self.cc) + ntt_T5 = gen_twiddle_matrix(self.cr, self.cr, self.prime, omega_cr) + ntt_T6 = gen_twiddle_matrix(self.cr, self.cc, self.prime, omega_c) + ntt_T7 = gen_twiddle_matrix(self.cc, self.cc, self.prime, omega_cc) + + inv_omega_rr = pow(omega_rr, -1, self.prime) + inv_omega_rc = pow(omega_rc, -1, self.prime) + inv_omega_cr = pow(omega_cr, -1, self.prime) + inv_omega_cc = pow(omega_cc, -1, self.prime) + rr_inv = pow(self.rr, -1, self.prime) + rc_inv = pow(self.rc, -1, self.prime) + cr_inv = pow(self.cr, -1, self.prime) + cc_inv = pow(self.cc, -1, self.prime) + + intt_T7 = gen_twiddle_matrix(self.cc, self.cc, self.prime, inv_omega_cc) + intt_T6 = gen_twiddle_matrix_inv(self.cr, self.cc, self.prime, omega_c) + intt_T6 = (intt_T6 * cc_inv) % self.prime + intt_T5 = gen_twiddle_matrix(self.cr, self.cr, self.prime, inv_omega_cr) + intt_T5 = (intt_T5 * cr_inv) % self.prime + intt_T4 = gen_twiddle_matrix_inv( + r_total, c_total, self.prime, self.omega + ).reshape(self.rr, self.rc, self.cr, self.cc) + intt_T3 = gen_twiddle_matrix(self.rc, self.rc, self.prime, inv_omega_rc) + intt_T2 = gen_twiddle_matrix_inv(self.rr, self.rc, self.prime, omega_r) + intt_T2 = (intt_T2 * rc_inv) % self.prime + intt_T1 = gen_twiddle_matrix(self.rr, self.rr, self.prime, inv_omega_rr) + intt_T1 = (intt_T1 * rr_inv) % self.prime + + perm_rr = get_bit_reverse_perm(self.rr) + perm_rc = get_bit_reverse_perm(self.rc) + perm_cr = get_bit_reverse_perm(self.cr) + perm_cc = get_bit_reverse_perm(self.cc) + + ntt_T1 = ntt_T1[perm_rr, :] + ntt_T2 = ntt_T2[perm_rr, :] + ntt_T3 = ntt_T3[:, perm_rc] + perm_r = get_bit_reverse_perm(r_total) + ntt_T4 = ntt_T4.reshape(r_total, c_total)[perm_r, :].reshape( + self.rr, self.rc, self.cr, self.cc + ) + ntt_T5 = ntt_T5[perm_cr, :] + ntt_T6 = ntt_T6[perm_cr, :] + ntt_T7 = ntt_T7[:, perm_cc] + + intt_T7 = intt_T7[perm_cc, :] + intt_T6 = intt_T6[perm_cr, :] + intt_T5 = intt_T5[:, perm_cr] + intt_T4 = intt_T4.reshape(r_total, c_total)[perm_r, :].reshape( + self.rr, self.rc, self.cr, self.cc + ) + intt_T3 = intt_T3[perm_rc, :] + intt_T2 = intt_T2[perm_rr, :] + intt_T1 = intt_T1[:, perm_rr] + + # Steps 1 and 5 are logically left-matmul; steps 3 and 7 are right. + self.ntt_T1 = ff_ctx.preprocess_matmul(ntt_T1.T) + self.ntt_T2 = ff_ctx.preprocess_elementwise(ntt_T2) + self.ntt_T3 = ff_ctx.preprocess_matmul(ntt_T3) + self.ntt_T4 = ff_ctx.preprocess_elementwise(ntt_T4) + self.ntt_T5 = ff_ctx.preprocess_matmul(ntt_T5.T) + self.ntt_T6 = ff_ctx.preprocess_elementwise(ntt_T6) + self.ntt_T7 = ff_ctx.preprocess_matmul(ntt_T7) + + self.intt_T7 = ff_ctx.preprocess_matmul(intt_T7) + self.intt_T6 = ff_ctx.preprocess_elementwise(intt_T6) + self.intt_T5 = ff_ctx.preprocess_matmul(intt_T5.T) + self.intt_T4 = ff_ctx.preprocess_elementwise(intt_T4) + self.intt_T3 = ff_ctx.preprocess_matmul(intt_T3) + self.intt_T2 = ff_ctx.preprocess_elementwise(intt_T2) + self.intt_T1 = ff_ctx.preprocess_matmul(intt_T1.T) + + def ntt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) # (B, RR, RC, CR, CC, trailing) + # Steps 1-3: inner NTT on R = RR * RC. + v = self.ff_ctx.modular_matmul(v, self.ntt_T1, contract_axis=1) + v = self.ff_ctx.modular_multiply_broadcast( + v, self.ntt_T2[:, :, None, None, :] + ) + v = self.ff_ctx.modular_matmul(v, self.ntt_T3, contract_axis=2) + # Step 4: outer twiddle (broadcast over batch only). + v = self.ff_ctx.modular_multiply_broadcast(v, self.ntt_T4[None]) + # Steps 5-7: inner NTT on C = CR * CC. + v = self.ff_ctx.modular_matmul(v, self.ntt_T5, contract_axis=3) + v = self.ff_ctx.modular_multiply_broadcast( + v, self.ntt_T6[None, None, None, :, :, :] + ) + v = self.ff_ctx.modular_matmul(v, self.ntt_T7, contract_axis=4) + return v + + def intt(self, v: jnp.ndarray): + v = self._ensure_ntt_shape(v) + v = self.ff_ctx.modular_matmul(v, self.intt_T7, contract_axis=4) + v = self.ff_ctx.modular_multiply_broadcast( + v, self.intt_T6[None, None, None, :, :, :] + ) + v = self.ff_ctx.modular_matmul(v, self.intt_T5, contract_axis=3) + v = self.ff_ctx.modular_multiply_broadcast(v, self.intt_T4[None]) + v = self.ff_ctx.modular_matmul(v, self.intt_T3, contract_axis=2) + v = self.ff_ctx.modular_multiply_broadcast( + v, self.intt_T2[:, :, None, None, :] + ) + v = self.ff_ctx.modular_matmul(v, self.intt_T1, contract_axis=1) + return v diff --git a/jaxite_ec/number_theory_transform_perf_test.py b/jaxite_ec/number_theory_transform_perf_test.py new file mode 100644 index 0000000..b990f51 --- /dev/null +++ b/jaxite_ec/number_theory_transform_perf_test.py @@ -0,0 +1,447 @@ +"""Performance tests for batched NTT. + +Profiles the six NTT designs produced by crossing + * step count (:class:`NTT3Step`, :class:`NTT5Step`, :class:`NTT7Step`) + * backend (DRNS via :class:`DRNSLazyExtensionContext`, + CROSS via :class:`CROSSLazyExtensionContext`) + +The batch (leading) dimension is sharded across all available JAX +devices. Performance is measured via ``jax.profiler`` through the +``KernelWrapper`` / ``Profiler`` helpers in ``profiler.py``, NOT +wall-clock time. Sharded-correctness checks live in +``number_theory_transform_test.py``. +""" + +import os + +import jax +from jax.experimental.shard_map import shard_map +import jax.numpy as jnp +import jaxite.jaxite_ec.number_theory_transform_context as ntt_context +from jaxite.jaxite_ec.profiler import KernelWrapper, Profiler, collect_logs +import jaxite.jaxite_ec.utils as utils + +from absl.testing import absltest +from absl.testing import parameterized + +jax.config.update("jax_enable_x64", True) + +# --------------------------------------------------------------------------- +# Trailing-dimension sizing — change these to sweep field-element width. +# NUM_MODULI drives the prime preset below (21 → 256-bit prime, 56 → 753-bit). +# --------------------------------------------------------------------------- +NUM_MODULI = 21 # DRNS: number of RNS moduli (trailing dim size) +PRECISION_BITS = 28 # DRNS: bit-width per modulus +RADIX_BITS = 32 # DRNS: Montgomery radix + +# --------------------------------------------------------------------------- +# Prime & 2N-th-root presets, keyed by NUM_MODULI. Each preset supplies a +# matching Q_PERF and PSI_PERF_BY_DEGREE (primitive 2*2^degree-th roots of +# unity mod Q_PERF). The per-degree psi sidesteps utils.root_of_unity(), +# which trial-divides q-1 and is infeasible for the 753-bit prime. +# --------------------------------------------------------------------------- +_PERF_PRIME_PRESETS: dict[int, dict] = { + # 256-bit prime — fits NUM_MODULI * PRECISION_BITS = 21 * 28 = 588 ≥ 256. + 21: { + "q": 0x8000000000000000000000000000000000000000000000000000000070000001, + "psi_by_degree": { + 14: ( + 0x210D1D264152132AE3E5610B7E230BCD0058FE66FB35C5713527EA1FA40D1845 + ), + 16: ( + 0x40D7C3F33672325E7B65C4A20B0BE07DD32F3EBB05C33DD8675D68EB3A8BDB6B + ), + 18: ( + 0x568FDDCD95737AC264EAADA546D74B051CA1B7FC5B8427DCE706674011E009E0 + ), + 20: ( + 0x3AAE36A59E8E4F95E3118AA64270D0E122E0FC9585380815F737A67D613B5516 + ), + 22: ( + 0x23E461BCC11091F4A355AD034B454991F9CFA113272B8DBDF38E895C68BE3702 + ), + }, + }, + # 753-bit prime — fits NUM_MODULI * PRECISION_BITS = 56 * 28 = 1568 ≥ 753. + 56: { + "q": ( + 0x100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000023C00001 + ), + "psi_by_degree": { + 14: ( + 0x987B6025AB8620C5CB8376257CBC1FED3F6A9CD8003B6CB78C442378C5CB76DF824DDFAD28F53E6EFED050F1193BD6B114DDBAF944860CE6CEEC6A4ECCC92D690996CD24ED61167E18B61F33C7F45CA1231F30751C16AA586DA157BC12DA + ), + 16: ( + 0xC35116503813C2FEA4AA3458B0F4F8B28BBCC8BEE7004D34FB47B57FE855C6D764AF4F7CE54C9334C6C957CDE2D613405AD78F5BF210772600A9E8FBC797E35DDFCB55643E3F9ADE2C9B4AD8D08F00D7224EE0E4E176C98E61232E23114C + ), + 18: ( + 0x80DE16A04909C865C8C3954F81D93780D98B4826B7C8AEC95A3149697831B5CE3BE84CEA28866B38A0458484ACDFBFC0FB26215FFF7083F52721E3BBE094FA42CCAF9D9DF1730211F6A211BED8C8128041609A585C1234113AC33FD11FD2 + ), + 20: ( + 0x4AE6B7005951673890AC5AEA5DFCA80F449C73138FBBA6EF4E26D43DDA812A3BE60C97E60450C3AA294B751F6FCAB9E3736C02191A19E87C08AB00F3A3D2B599CFC3D52A0886F3EDA8941813BCDBCD51930F838B04CFE32A1AEF52510324 + ), + 22: ( + 0x26DFA808FE842C5A3C50EED23D433805D7CA3BC5FE9EDFA38C0A325159D75B8DBF7ED80054D92678DCCC4CC6B9A1D47976DFDA07D39C463F312EC45147860C46F8E4ACE696AB8B7F789EBE170FE615C18902C15F97ABC7300DBD9F1870A + ), + }, + }, +} + +if NUM_MODULI not in _PERF_PRIME_PRESETS: + raise ValueError( + f"No Q_PERF/PSI preset for NUM_MODULI={NUM_MODULI}; " + f"available: {sorted(_PERF_PRIME_PRESETS)}" + ) +Q_PERF: int = _PERF_PRIME_PRESETS[NUM_MODULI]["q"] +PSI_PERF_BY_DEGREE: dict[int, int] = _PERF_PRIME_PRESETS[NUM_MODULI][ + "psi_by_degree" +] + +# DRNS configs (BAT einsum + Montgomery/CRNS — runs fast, can push to deg=22). +PERF_CONFIGS_DRNS_3STEP = [ + {"degree": 14, "r1": 7, "c": 7}, + # {"degree": 16, "r1": 8, "c": 8}, + # {"degree": 18, "r1": 9, "c": 9}, + # {"degree": 20, "r1": 10, "c": 10}, + # {"degree": 22, "r1": 11, "c": 11}, +] + +PERF_CONFIGS_DRNS_5STEP = [ + {"degree": 14, "r1": 5, "r2": 5, "c": 4}, + # {"degree": 16, "r1": 5, "r2": 5, "c": 6}, + # {"degree": 18, "r1": 6, "r2": 6, "c": 6}, + # {"degree": 20, "r1": 6, "r2": 6, "c": 8}, + # {"degree": 22, "r1": 7, "r2": 7, "c": 8}, +] + +PERF_CONFIGS_DRNS_7STEP = [ + {"degree": 16, "r1": 4, "r2": 4, "c1": 4, "c2": 4}, + # {"degree": 20, "r1": 5, "r2": 5, "c1": 5, "c2": 5}, +] + +# CROSS configs — CROSS's fori_loop-based matmul is ~1000× slower than +# DRNS BAT per NTT, so keep sizes modest to finish in reasonable time. +PERF_CONFIGS_CROSS_3STEP = [ + {"degree": 14, "r1": 7, "c": 7}, + # {"degree": 16, "r1": 8, "c": 8}, + # {"degree": 18, "r1": 9, "c": 9}, + # {"degree": 20, "r1": 10, "c": 10}, + # {"degree": 22, "r1": 11, "c": 11}, +] + +PERF_CONFIGS_CROSS_5STEP = [ + {"degree": 14, "r1": 5, "r2": 5, "c": 4}, + # {"degree": 16, "r1": 5, "r2": 5, "c": 6}, + # {"degree": 18, "r1": 6, "r2": 6, "c": 6}, + # {"degree": 20, "r1": 6, "r2": 6, "c": 8}, + # {"degree": 22, "r1": 7, "r2": 7, "c": 8}, +] + +PERF_CONFIGS_CROSS_7STEP = [ + {"degree": 16, "r1": 4, "r2": 4, "c1": 4, "c2": 4}, + # {"degree": 20, "r1": 5, "r2": 5, "c1": 5, "c2": 5}, +] + + +# --------------------------------------------------------------------------- +# Extension-context builders +# --------------------------------------------------------------------------- +def _create_drns_ff_ctx(prime): + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, PRECISION_BITS) + return ntt_context.DRNSLazyExtensionContext({ + "prime": prime, + "rns_moduli": rns_moduli, + "precision_bits": PRECISION_BITS, + "radix_bits": RADIX_BITS, + }) + + +def _create_cross_ff_ctx(prime): + params = {"prime": prime} + return ntt_context.CROSSLazyExtensionContext(params) + + +# --------------------------------------------------------------------------- +# Sharding helpers +# --------------------------------------------------------------------------- +def _create_sharding(): + """Create default batch sharding for the current device mesh.""" + available_devices = jax.devices() + if not available_devices: + raise RuntimeError("No devices available for sharding test.") + if len(available_devices) == 8: + mesh_shape = (2, 4) + elif len(available_devices) == 4: + mesh_shape = (2, 2) + elif len(available_devices) == 2: + mesh_shape = (2, 1) + else: + mesh_shape = (1, 1) + + mesh = jax.make_mesh(mesh_shape, ("x", "y")) + return mesh, jax.sharding.PartitionSpec + + +def _batch_sharding(mesh, partition_spec, ndim): + """NamedSharding that partitions only the leading (batch) axis.""" + axis_names = mesh.axis_names + batch_partition = axis_names if len(axis_names) > 1 else axis_names[0] + spec = (batch_partition,) + (None,) * (ndim - 1) + return jax.sharding.NamedSharding(mesh, partition_spec(*spec)) + + +# --------------------------------------------------------------------------- +# Kernel-wrapper helpers +# --------------------------------------------------------------------------- +def _ntt_kernel(input_array, parameters): + return parameters["ctx"].ntt(input_array) + + +def _intt_kernel(input_array, parameters): + return parameters["ctx"].intt(input_array) + + +def _shard_mapped_kernel(method_name): + """Build a kernel entry that shard-maps ``ctx.`` over batch. + + CROSS's NTT path uses ``jax.vmap`` internally over every leading axis + of ``_modular_multiply``. Under a plain jit with a batch-sharded + input, the broadcast of replicated twiddles against the sharded input + creates vmap axis-spec mismatches. Running the kernel under + ``shard_map`` gives every device a shard-local (unsharded) view, so + all broadcast / reshape / vmap ops inside the kernel see regular- + strided arrays while the heavy lifting still parallelizes across all + devices at the outer (shard_map) level. + """ + + def kernel(input_array, parameters): + ctx = parameters["ctx"] + mesh = parameters["mesh"] + batch_spec = parameters["batch_spec"] + fn = getattr(ctx, method_name) + mapped = shard_map( + fn, + mesh=mesh, + in_specs=batch_spec, + out_specs=batch_spec, + check_rep=False, + ) + return mapped(input_array) + + return kernel + + +# --------------------------------------------------------------------------- +# Performance profiling (jax.profiler traces via KernelWrapper + Profiler). +# One test method per design: 3 DRNS designs + 3 CROSS designs = 6 tests. +# --------------------------------------------------------------------------- +class NTTShardedPerformanceTest(parameterized.TestCase): + """Profile all six NTT designs (step-count × backend) at sharded batch.""" + + def setUp(self): + super().setUp() + outputs_dir = os.environ.get("TEST_UNDECLARED_OUTPUTS_DIR") + self.output_trace_root = ( + os.path.join(outputs_dir, "log") + if outputs_dir + else os.path.join(os.path.dirname(os.path.abspath(__file__)), "log") + ) + self.profiler_config = { + "iterations": 1, + "save_to_file": True, + "enable_sharding": True, + } + + @classmethod + def tearDownClass(cls): + super().tearDownClass() + collect_logs(os.path.dirname(os.path.abspath(__file__))) + + # ------------------------------------------------------------------------- + # Profile driver: uniform entry point for DRNS and CROSS. Selects the + # right extension context, trailing-dim size, and per-device kernel + # wrapping (plain jit for DRNS, shard_map-wrapped jit for CROSS). + # ------------------------------------------------------------------------- + def _profile_design( + self, variant_name, configs, ntt_cls, backend, make_params + ): + assert backend in ("drns", "cross") + if backend == "drns": + ff_ctx = _create_drns_ff_ctx(Q_PERF) + trailing = len(ff_ctx.rns_moduli) + trailing_key = "num_moduli" + kernel_factory = lambda direction: ( + _ntt_kernel if direction == "ntt" else _intt_kernel + ) + else: + ff_ctx = _create_cross_ff_ctx(Q_PERF) + trailing = ff_ctx.chunk_num_u32 + trailing_key = "chunk_num_u32" + kernel_factory = lambda direction: _shard_mapped_kernel(direction) + + mesh, partition_spec = _create_sharding() + num_devices = len(jax.devices()) + + profiler = Profiler( + output_trace_path=self.output_trace_root, + profile_naming=f"sharded_{variant_name}_{ntt_cls.__name__}", + configuration=self.profiler_config, + ) + + for cfg in configs: + degree = cfg["degree"] + spatial_params, spatial_shape = make_params(cfg) + params = { + "prime": Q_PERF, + "finite_field_context": ff_ctx, + **spatial_params, + } + psi = PSI_PERF_BY_DEGREE.get(degree) + if psi is not None: + params["psi"] = psi + ntt_ctx = ntt_cls(params) + + ndim = 1 + len(spatial_shape) + 1 + batch_sharding = _batch_sharding(mesh, partition_spec, ndim) + + axis_names = mesh.axis_names + batch_partition = axis_names if len(axis_names) > 1 else axis_names[0] + batch_spec = partition_spec(batch_partition, *([None] * (ndim - 1))) + + setting_base = { + "context": ntt_cls.__name__, + "backend": backend, + "degree": degree, + "spatial_shape": str(spatial_shape), + trailing_key: trailing, + "num_devices": num_devices, + } + + batch = num_devices + input_shape = (batch,) + spatial_shape + (trailing,) + for direction in ("ntt", "intt"): + name = f"{variant_name}_{direction}_deg{degree}_batch{batch}" + wrapper = KernelWrapper( + kernel_name=name, + function_to_wrap=kernel_factory(direction), + input_structs=[(input_shape, jnp.uint32)], + parameters={"ctx": ntt_ctx, "mesh": mesh, "batch_spec": batch_spec}, + mesh=mesh, + input_shardings=(batch_sharding,), + output_sharding=batch_sharding, + enable_sharding=True, + ) + profiler.add_profile( + name=name, + kernel_wrapper=wrapper, + kernel_setting_cols={ + **setting_base, + "direction": direction, + "batch": batch, + }, + ) + + profiler.profile_all_profilers() + profiler.post_process_all_profilers() + + # ------------------------------------------------------------------------- + # 3 DRNS-based designs + # ------------------------------------------------------------------------- + def test_sharded_drns_3step(self): + """DRNS 3-step NTT (``NTT3Step`` + ``DRNSLazyExtensionContext``).""" + + def make_params(cfg): + r, c = 2 ** cfg["r1"], 2 ** cfg["c"] + return {"r": r, "c": c}, (r, c) + + self._profile_design( + "drns_3step", + PERF_CONFIGS_DRNS_3STEP, + ntt_context.NTT3Step, + "drns", + make_params, + ) + + def test_sharded_drns_5step(self): + """DRNS 5-step NTT (``NTT5Step`` + ``DRNSLazyExtensionContext``).""" + + def make_params(cfg): + rr, rc, c = 2 ** cfg["r1"], 2 ** cfg["r2"], 2 ** cfg["c"] + return {"rr": rr, "rc": rc, "c": c}, (rr, rc, c) + + self._profile_design( + "drns_5step", + PERF_CONFIGS_DRNS_5STEP, + ntt_context.NTT5Step, + "drns", + make_params, + ) + + def test_sharded_drns_7step(self): + """DRNS 7-step NTT (``NTT7Step`` + ``DRNSLazyExtensionContext``).""" + + def make_params(cfg): + rr, rc = 2 ** cfg["r1"], 2 ** cfg["r2"] + cr, cc = 2 ** cfg["c1"], 2 ** cfg["c2"] + return {"rr": rr, "rc": rc, "cr": cr, "cc": cc}, (rr, rc, cr, cc) + + self._profile_design( + "drns_7step", + PERF_CONFIGS_DRNS_7STEP, + ntt_context.NTT7Step, + "drns", + make_params, + ) + + # ------------------------------------------------------------------------- + # 3 CROSS-backed designs + # ------------------------------------------------------------------------- + def test_sharded_cross_3step(self): + """CROSS 3-step NTT (``NTT3Step`` + ``CROSSLazyExtensionContext``).""" + + def make_params(cfg): + r, c = 2 ** cfg["r1"], 2 ** cfg["c"] + return {"r": r, "c": c}, (r, c) + + self._profile_design( + "cross_3step", + PERF_CONFIGS_CROSS_3STEP, + ntt_context.NTT3Step, + "cross", + make_params, + ) + + def test_sharded_cross_5step(self): + """CROSS 5-step NTT (``NTT5Step`` + ``CROSSLazyExtensionContext``).""" + + def make_params(cfg): + rr, rc, c = 2 ** cfg["r1"], 2 ** cfg["r2"], 2 ** cfg["c"] + return {"rr": rr, "rc": rc, "c": c}, (rr, rc, c) + + self._profile_design( + "cross_5step", + PERF_CONFIGS_CROSS_5STEP, + ntt_context.NTT5Step, + "cross", + make_params, + ) + + def test_sharded_cross_7step(self): + """CROSS 7-step NTT (``NTT7Step`` + ``CROSSLazyExtensionContext``).""" + + def make_params(cfg): + rr, rc = 2 ** cfg["r1"], 2 ** cfg["r2"] + cr, cc = 2 ** cfg["c1"], 2 ** cfg["c2"] + return {"rr": rr, "rc": rc, "cr": cr, "cc": cc}, (rr, rc, cr, cc) + + self._profile_design( + "cross_7step", + PERF_CONFIGS_CROSS_7STEP, + ntt_context.NTT7Step, + "cross", + make_params, + ) + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/number_theory_transform_test.py b/jaxite_ec/number_theory_transform_test.py new file mode 100644 index 0000000..c972a48 --- /dev/null +++ b/jaxite_ec/number_theory_transform_test.py @@ -0,0 +1,428 @@ +import jax +import jax.numpy as jnp +import jaxite.jaxite_ec.number_theory_transform_context as ntt_context +import jaxite.jaxite_ec.utils as utils +import numpy as np + +from absl.testing import absltest +from absl.testing import parameterized + +MODULI = 134219681 + +# --------------------------------------------------------------------------- +# Trailing-dimension sizing — change these to sweep field-element width. +# --------------------------------------------------------------------------- +NUM_MODULI = 21 # DRNS: number of RNS moduli (trailing dim size), 21 for 256-bit, 56 for 753-bit +PRECISION_BITS = 28 # DRNS: bit-width per modulus +RADIX_BITS = 32 # DRNS: Montgomery radix +CHUNK_NUM_U8 = 32 # CROSS: override chunk_num_u8 (None = auto from prime), 32 for 256-bit, 95 for 753-bit + +TEST_VECTOR = { + "coef_in": [ + 105825732, + 68433452, + 36629220, + 126901109, + 89469849, + 106633716, + 15102657, + 108374459, + 68789927, + 23451922, + 93538050, + 20585372, + 30604976, + 37517995, + 65644325, + 102451383, + ], + "eval_in": [ + 26196696, + 45475009, + 10055359, + 23277424, + 69041040, + 71916973, + 73894069, + 3311254, + 44646798, + 49882443, + 28097016, + 70484730, + 10811958, + 11946041, + 61318182, + 19099272, + ], +} + + +def make_ntt_case(name, *layout_dims): + return ( + name, + MODULI, + None, + 1, + *layout_dims, + TEST_VECTOR["coef_in"], + TEST_VECTOR["eval_in"], + ) + + +NTT_3STEP = [make_ntt_case("0", 4, 4)] # Layout: (r, c) +NTT_5STEP = [make_ntt_case("0", 2, 2, 4)] # Layout: (rr, rc, c) +NTT_7STEP = [make_ntt_case("0", 2, 2, 2, 2)] # Layout: (rr, rc, cr, cc) + + +# --------------------------------------------------------------------------- +# Sharded correctness configs: (case_name, spatial_params, ntt_cls, spatial_shape) +# --------------------------------------------------------------------------- +SHARDED_CORRECTNESS_CONFIGS = [ + ("3step", {"r": 4, "c": 4}, ntt_context.NTT3Step, (4, 4)), + ("5step", {"rr": 2, "rc": 2, "c": 4}, ntt_context.NTT5Step, (2, 2, 4)), + ( + "7step", + {"rr": 2, "rc": 2, "cr": 2, "cc": 2}, + ntt_context.NTT7Step, + (2, 2, 2, 2), + ), +] + + +# --------------------------------------------------------------------------- +# Sharding helpers +# --------------------------------------------------------------------------- +def _create_sharding(): + """Create default batch sharding for the current device mesh.""" + available_devices = jax.devices() + if not available_devices: + raise RuntimeError("No devices available for sharding test.") + if len(available_devices) == 8: + mesh_shape = (2, 4) + elif len(available_devices) == 4: + mesh_shape = (2, 2) + elif len(available_devices) == 2: + mesh_shape = (2, 1) + else: + mesh_shape = (1, 1) + + mesh = jax.make_mesh(mesh_shape, ("x", "y")) + return mesh, jax.sharding.PartitionSpec + + +def _batch_sharding(mesh, partition_spec, ndim): + """NamedSharding that partitions only the leading (batch) axis.""" + axis_names = mesh.axis_names + batch_partition = axis_names if len(axis_names) > 1 else axis_names[0] + spec = (batch_partition,) + (None,) * (ndim - 1) + return jax.sharding.NamedSharding(mesh, partition_spec(*spec)) + + +def _tile_to_batch(single, shard_batch): + """Replicate a single ``(1, *spatial, trailing)`` array across batch dim.""" + return jnp.tile(single, (shard_batch,) + (1,) * (single.ndim - 1)) + + +def _create_drns_ff_ctx(prime): + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, PRECISION_BITS) + return ntt_context.DRNSLazyExtensionContext({ + "prime": prime, + "rns_moduli": rns_moduli, + "precision_bits": PRECISION_BITS, + "radix_bits": RADIX_BITS, + }) + + +class NTTTest(parameterized.TestCase): + + # @absltest.skip("Skip DRNS NTT tests") + @parameterized.named_parameters(*NTT_3STEP) + def test_DRNS_NTT_3step(self, q, psi, batch, r, c, coef_in, eval_in): + """Validate the 3-step NTT with DRNS lazy reduction.""" + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, PRECISION_BITS) + ff_ctx = ntt_context.DRNSLazyExtensionContext({ + "prime": q, + "rns_moduli": rns_moduli, + "precision_bits": PRECISION_BITS, + "radix_bits": RADIX_BITS, + }) + ntt_ctx = ntt_context.NTT3Step( + {"prime": q, "r": r, "c": c, "finite_field_context": ff_ctx} + ) + + # to_computational_format gives (N, num_moduli); ntt auto-reshapes + coef_drns = ntt_ctx.to_computational_format(coef_in) + + # Forward NTT + ntt_result = ntt_ctx.ntt(coef_drns) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + # Inverse NTT + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip DRNS NTT tests") + @parameterized.named_parameters(*NTT_5STEP) + def test_DRNS_NTT_5step(self, q, psi, batch, rr, rc, c, coef_in, eval_in): + """Validate the 5-step NTT with DRNS lazy reduction.""" + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, PRECISION_BITS) + ff_ctx = ntt_context.DRNSLazyExtensionContext({ + "prime": q, + "rns_moduli": rns_moduli, + "precision_bits": PRECISION_BITS, + "radix_bits": RADIX_BITS, + }) + ntt_ctx = ntt_context.NTT5Step( + {"prime": q, "rr": rr, "rc": rc, "c": c, "finite_field_context": ff_ctx} + ) + + # to_computational_format gives (N, num_moduli); ntt auto-reshapes + coef_drns = ntt_ctx.to_computational_format(coef_in) + + # Forward NTT + ntt_result = ntt_ctx.ntt(coef_drns) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + # Inverse NTT + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip DRNS NTT tests") + @parameterized.named_parameters(*NTT_7STEP) + def test_DRNS_NTT_7step( + self, q, psi, batch, rr, rc, cr, cc, coef_in, eval_in + ): + """Validate the 7-step NTT with DRNS lazy reduction.""" + rns_moduli = utils.find_moduli_specified_number(NUM_MODULI, PRECISION_BITS) + ff_ctx = ntt_context.DRNSLazyExtensionContext({ + "prime": q, + "rns_moduli": rns_moduli, + "precision_bits": PRECISION_BITS, + "radix_bits": RADIX_BITS, + }) + ntt_ctx = ntt_context.NTT7Step({ + "prime": q, + "rr": rr, + "rc": rc, + "cr": cr, + "cc": cc, + "finite_field_context": ff_ctx, + }) + + coef_drns = ntt_ctx.to_computational_format(coef_in) + + # Forward NTT + ntt_result = ntt_ctx.ntt(coef_drns) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + # Inverse NTT + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip CROSS NTT tests") + @parameterized.named_parameters(*NTT_3STEP) + def test_CROSS_NTT_3step(self, q, psi, batch, r, c, coef_in, eval_in): + """Validate the 3-step NTT with CROSS lazy matrix reduction.""" + cross_params = {"prime": q} + if CHUNK_NUM_U8 is not None: + cross_params["chunk_num_u8"] = CHUNK_NUM_U8 + ff_ctx = ntt_context.CROSSLazyExtensionContext(cross_params) + ntt_ctx = ntt_context.NTT3Step( + {"prime": q, "r": r, "c": c, "finite_field_context": ff_ctx} + ) + + coef_cross = ntt_ctx.to_computational_format(coef_in) + + ntt_result = ntt_ctx.ntt(coef_cross) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip CROSS NTT tests") + @parameterized.named_parameters(*NTT_5STEP) + def test_CROSS_NTT_5step(self, q, psi, batch, rr, rc, c, coef_in, eval_in): + """Validate the 5-step NTT with CROSS lazy matrix reduction.""" + cross_params = {"prime": q} + if CHUNK_NUM_U8 is not None: + cross_params["chunk_num_u8"] = CHUNK_NUM_U8 + ff_ctx = ntt_context.CROSSLazyExtensionContext(cross_params) + ntt_ctx = ntt_context.NTT5Step( + {"prime": q, "rr": rr, "rc": rc, "c": c, "finite_field_context": ff_ctx} + ) + + coef_cross = ntt_ctx.to_computational_format(coef_in) + + ntt_result = ntt_ctx.ntt(coef_cross) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip CROSS NTT tests") + @parameterized.named_parameters(*NTT_7STEP) + def test_CROSS_NTT_7step( + self, q, psi, batch, rr, rc, cr, cc, coef_in, eval_in + ): + """Validate the 7-step NTT with CROSS lazy matrix reduction.""" + cross_params = {"prime": q} + if CHUNK_NUM_U8 is not None: + cross_params["chunk_num_u8"] = CHUNK_NUM_U8 + ff_ctx = ntt_context.CROSSLazyExtensionContext(cross_params) + ntt_ctx = ntt_context.NTT7Step({ + "prime": q, + "rr": rr, + "rc": rc, + "cr": cr, + "cc": cc, + "finite_field_context": ff_ctx, + }) + + coef_cross = ntt_ctx.to_computational_format(coef_in) + + ntt_result = ntt_ctx.ntt(coef_cross) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # --------------------------------------------------------------------- + # Unified NTT + NumpyCPUContext parity tests: NTT{3,5,7}Step with a + # NumpyCPUContext backend must produce the same output as the + # CPUCROSS{,5Step,7Step}Context legacy reference classes. + # --------------------------------------------------------------------- + # @absltest.skip("Skip NumpyCPU NTT tests") + @parameterized.named_parameters(*NTT_3STEP) + def test_NumpyCPU_NTT_3step(self, q, psi, batch, r, c, coef_in, eval_in): + ff_ctx = ntt_context.NumpyCPUContext({"prime": q}) + ntt_ctx = ntt_context.NTT3Step( + {"prime": q, "r": r, "c": c, "finite_field_context": ff_ctx} + ) + coef_cpu = ntt_ctx.to_computational_format(coef_in) + ntt_result = ntt_ctx.ntt(coef_cpu) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip NumpyCPU NTT tests") + @parameterized.named_parameters(*NTT_5STEP) + def test_NumpyCPU_NTT_5step(self, q, psi, batch, rr, rc, c, coef_in, eval_in): + ff_ctx = ntt_context.NumpyCPUContext({"prime": q}) + ntt_ctx = ntt_context.NTT5Step( + {"prime": q, "rr": rr, "rc": rc, "c": c, "finite_field_context": ff_ctx} + ) + coef_cpu = ntt_ctx.to_computational_format(coef_in) + ntt_result = ntt_ctx.ntt(coef_cpu) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + # @absltest.skip("Skip NumpyCPU NTT tests") + @parameterized.named_parameters(*NTT_7STEP) + def test_NumpyCPU_NTT_7step( + self, q, psi, batch, rr, rc, cr, cc, coef_in, eval_in + ): + ff_ctx = ntt_context.NumpyCPUContext({"prime": q}) + ntt_ctx = ntt_context.NTT7Step({ + "prime": q, + "rr": rr, + "rc": rc, + "cr": cr, + "cc": cc, + "finite_field_context": ff_ctx, + }) + coef_cpu = ntt_ctx.to_computational_format(coef_in) + ntt_result = ntt_ctx.ntt(coef_cpu) + np.testing.assert_array_equal( + eval_in, ntt_ctx.to_original_format(ntt_result) + ) + intt_result = ntt_ctx.intt(ntt_result) + np.testing.assert_array_equal( + coef_in, ntt_ctx.to_original_format(intt_result) + ) + + +# --------------------------------------------------------------------------- +# Sharded correctness (DRNS only — CROSS correctness is covered by the +# per-backend tests above since CROSS's device-0 closure constants conflict +# with shard_map under the small-mesh jit harness). +# --------------------------------------------------------------------------- +class NTTShardedCorrectnessTest(parameterized.TestCase): + """Verifies that batched, device-sharded NTT is element-wise correct.""" + + # @absltest.skip("Skip DRNS NTT correctness tests") + @parameterized.named_parameters(*SHARDED_CORRECTNESS_CONFIGS) + def test_sharded_ntt_correctness( + self, spatial_params, ctx_cls, spatial_shape + ): + coef_in = TEST_VECTOR["coef_in"] + eval_in = TEST_VECTOR["eval_in"] + ff_ctx = _create_drns_ff_ctx(MODULI) + params = {"prime": MODULI, "finite_field_context": ff_ctx, **spatial_params} + ntt_ctx = ctx_cls(params) + + coef_drns = ntt_ctx.to_computational_format(coef_in) + coef_drns = ntt_ctx._ensure_ntt_shape(coef_drns) + + mesh, partition_spec = _create_sharding() + shard_batch = len(jax.devices()) + batched = _tile_to_batch(coef_drns, shard_batch) + sharding = _batch_sharding(mesh, partition_spec, batched.ndim) + batched_sharded = jax.device_put(batched, sharding) + + jit_ntt = jax.jit(ntt_ctx.ntt, out_shardings=sharding) + jit_intt = jax.jit(ntt_ctx.intt, out_shardings=sharding) + + ntt_result = jit_ntt(batched_sharded) + ntt_host = np.asarray(ntt_result) + for i in range(shard_batch): + np.testing.assert_array_equal( + eval_in, + ntt_ctx.to_original_format(ntt_host[i]), + err_msg=f"NTT mismatch at batch index {i}", + ) + + intt_result = jit_intt(ntt_result) + intt_host = np.asarray(intt_result) + for i in range(shard_batch): + np.testing.assert_array_equal( + coef_in, + ntt_ctx.to_original_format(intt_host[i]), + err_msg=f"INTT mismatch at batch index {i}", + ) + + +if __name__ == "__main__": + absltest.main() diff --git a/jaxite_ec/pippenger.py b/jaxite_ec/pippenger.py deleted file mode 100644 index 63d5372..0000000 --- a/jaxite_ec/pippenger.py +++ /dev/null @@ -1,1319 +0,0 @@ -"""Pippenger algorithm for elliptic curves. - -This module implements the Pippenger algorithm for elliptic curves. The -algorithm -is a generalization of the elliptic curve algorithm that can be used to find -elliptic curves of arbitrary order. - -The Pippenger algorithm works by first finding a set of "scalars" and "points" -that lie on the elliptic curve. These scalars and points are then used to -construct -a "bucket" for each window of the elliptic curve. The buckets are then reduced -to a single point for each window. Finally, the points from all of the windows -are merged together to form the final elliptic curve. - -The Pippenger algorithm is a powerful tool for finding elliptic curves, and it -has been used to find elliptic curves of arbitrary order and dimension. - -Example Compiled Function: - -bucket_accumulation_scan_jax_jit = jax.jit( - bucket_accumulation_scan_jax, - static_argnames='msm_length').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM*BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH, COORDINATE_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM*BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM*BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - MSM_LENGTH - ).compile() - -bucket_accumulation_index_scan_jax_jit = jax.jit( - bucket_accumulation_index_scan_jax, - static_argnames='msm_length').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM,BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH, COORDINATE_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM), - dtype=jnp.uint32 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM,BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - MSM_LENGTH - ).compile() - -bucket_reduction_scan_jax_jit = jax.jit( - bucket_reduction_scan_jax, - static_argnames='bucket_num_in_window').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM,), - dtype=jnp.uint8 - ), - BUCKET_NUM_PER_WINDOW - ).compile() - -window_merge_scan_jax_jit = jax.jit( - window_merge_scan_jax, - static_argnames='slice_length').lower( - jax.ShapeDtypeStruct((COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16), - SLICE_LENGTH - ).compile() - -selective_padd_with_zero_jit = jax.jit( - selective_padd_with_zero).lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM*BUCKET_NUM_PER_WINDOW, COORDINATE_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, MSM_LENGTH, COORDINATE_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (WINDOW_NUM*BUCKET_NUM_PER_WINDOW,), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (WINDOW_NUM*BUCKET_NUM_PER_WINDOW,), - dtype=jnp.uint8 - ), - ).compile() -""" - -import copy -import math -from typing import List - -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import util -import jaxite.jaxite_ec.elliptic_curve as jec -import jaxite.jaxite_ec.finite_field as ff -import numpy as np - - -deepcopy = copy.deepcopy - -""" -Example Parameters: -SLICE_LENGTH = 4 -WINDOW_NUM = int(math.ceil(255 / SLICE_LENGTH)) -BUCKET_NUM_PER_WINDOW = 2**SLICE_LENGTH -MSM_LENGTH = 1024 -COORDINATE_NUM = 4 -""" - - -def selective_padd_with_zero(partial_sum, single_point, select, is_zero): - """Padd the partial sum with the single point, but only if the selection state is 1. - - Args: - partial_sum: The partial sum. - single_point: The single point. - select: The selection state. - is_zero: The zero states. - - Returns: - The new partial sum. - """ - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_lazy_xyzz_pack(partial_sum, single_point) - - cond_select = jnp.equal(select, 1).reshape(1, batch_dim, 1) - sum_result = jnp.where(cond_select, new_partial_sum, partial_sum) - - cond_zero = jnp.equal(is_zero, 1).reshape(1, batch_dim, 1) - cond_select_and_zero = jnp.logical_and(cond_select, cond_zero) - result = jnp.where(cond_select_and_zero, single_point, sum_result) - return result - - -def padd_with_zero(partial_sum, single_point, ps_is_zero, sp_is_zero): - """Padd the partial sum with the single point. - - Check if the partial sum is equal to the single point first. - - Args: - partial_sum: The partial sum. - single_point: The single point. - ps_is_zero: The zero states of the partial sum. - sp_is_zero: The zero states of the single point. - - Returns: - The new partial sum. - """ - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_lazy_xyzz_pack(partial_sum, single_point) - cond_sp_zero = jnp.equal(sp_is_zero, 1).reshape(1, batch_dim, 1) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_1 = jnp.where(cond_sp_zero, partial_sum, single_point) - result_2 = jnp.where( - jnp.logical_or(cond_sp_zero, cond_ps_zero), result_1, new_partial_sum - ) - return result_2 - - -def padd_with_zero_alter(partial_sum, single_point, ps_is_zero): - - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_lazy_xyzz_pack(partial_sum, single_point) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_2 = jnp.where(cond_ps_zero, single_point, new_partial_sum) - return result_2 - - -def padd_with_zero_and_pdul_check( - partial_sum, single_point, ps_is_zero, sp_is_zero -): - """Padd the partial sum with the single point. - - Check if the partial sum is equal to the single point first. If they are - equal, then double the partial sum. - - Args: - partial_sum: The partial sum. - single_point: The single point. - ps_is_zero: The zero states of the partial sum. - sp_is_zero: The zero states of the single point. - - Returns: - The new partial sum. - """ - # coordinate_dim, batch_dim, precision_dim = partial_sum.shape - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_lazy_xyzz_pack(partial_sum, single_point) - double_partial_sum = jec.pdul_lazy_xyzz_pack(partial_sum) - cond_equal = jnp.all(partial_sum == single_point, axis=(0, 2)).reshape( - 1, batch_dim, 1 - ) - cond_sp_zero = jnp.equal(sp_is_zero, 1).reshape(1, batch_dim, 1) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_1 = jnp.where(cond_sp_zero, partial_sum, single_point) - result_2 = jnp.where( - jnp.logical_or(cond_sp_zero, cond_ps_zero), result_1, new_partial_sum - ) - reuslt_3 = jnp.where(cond_equal, double_partial_sum, result_2) - return reuslt_3 - - -def bucket_accumulation_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Non-scan version BA.""" - coordinate_dim, buckets_dim, precision_dim = all_buckets.shape - for i in range(msm_length): - point = jax.lax.broadcast_in_dim( - all_points[i], (coordinate_dim, buckets_dim, precision_dim), (0, 2) - ) - all_buckets = selective_padd_with_zero( - all_buckets, point, selection_list[i], zero_states_list[i] - ) - return all_buckets - - -def bucket_accumulation_scan_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA.""" - coordinate_dim, buckets_dim, precision_dim = all_buckets.shape - - def scan_body(buckets, point_with_cond_pack): - point, selection, zero_states = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, (coordinate_dim, buckets_dim, precision_dim), (0, 2) - ) - all_buckets = selective_padd_with_zero( - buckets, point, selection, zero_states - ) - return all_buckets, None - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_list, zero_states_list), - length=msm_length, - ) - return all_buckets - - -def bucket_accumulation_index_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Non-scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, window_dim, _, precision_dim = all_buckets.shape - for i in range(msm_length): - point = jax.lax.broadcast_in_dim( - all_points[i], (coordinate_dim, window_dim, precision_dim), (0, 2) - ) - selective_buckets = all_buckets[ - :, jnp.arange(window_dim), selection_index_list[i], : - ] - selective_zero_states = zero_states_list[ - i, jnp.arange(window_dim), selection_index_list[i] - ] - selective_update = padd_with_zero_alter( - selective_buckets, point, selective_zero_states - ) - all_buckets = all_buckets.at[ - :, jnp.arange(window_dim), selection_index_list[i], : - ].set(selective_update) - return all_buckets - - -def bucket_accumulation_index_scan_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, window_dim, _, precision_dim = all_buckets.shape - - def scan_body(buckets, point_with_cond_pack): - point, selection_index, zero_states = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, (coordinate_dim, window_dim, precision_dim), (0, 2) - ) - selective_buckets = buckets[:, jnp.arange(window_dim), selection_index, :] - selective_zero_states = zero_states[jnp.arange(window_dim), selection_index] - selective_update = padd_with_zero_alter( - selective_buckets, point, selective_zero_states - ) - return ( - buckets.at[:, jnp.arange(window_dim), selection_index, :].set( - selective_update - ), - None, - ) - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_index_list, zero_states_list), - length=msm_length, - ) - return all_buckets - - -def bucket_reduction_algorithm( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_zero_states_list: jnp.ndarray, - temp_zero_states_list: jnp.ndarray, - window_zero_states_list: jnp.ndarray, - bucket_num_in_window: int, -): - """Non-scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - for i in range(bucket_num_in_window - 1): - temp_sum = padd_with_zero( - temp_sum, - all_buckets[i], - temp_zero_states_list[i], - bucket_zero_states_list[i], - ) - window_sum = padd_with_zero_and_pdul_check( - window_sum, - temp_sum, - window_zero_states_list[i], - temp_zero_states_list[i + 1], - ) - return window_sum - - -def bucket_reduction_scan_algorithm( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_zero_states_list: jnp.ndarray, - temp_zero_states_list: jnp.ndarray, - window_zero_states_list: jnp.ndarray, - bucket_num_in_window: int, -): - """Scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - - def scan_body(temp_and_window_sum_pack, bucket_with_cond_pack): - temp_sum, window_sum = temp_and_window_sum_pack - ( - bucket, - bucket_zero_states, - temp_zero_states, - temp_zero_states1, - window_zero_states, - ) = bucket_with_cond_pack - temp_sum = padd_with_zero( - temp_sum, bucket, temp_zero_states, bucket_zero_states - ) - window_sum = padd_with_zero_and_pdul_check( - window_sum, temp_sum, window_zero_states, temp_zero_states1 - ) - return (temp_sum, window_sum), None - - (_, window_sum), _ = jax.lax.scan( - scan_body, - (temp_sum, window_sum), - ( - all_buckets[: bucket_num_in_window - 1], - bucket_zero_states_list[: bucket_num_in_window - 1], - temp_zero_states_list[: bucket_num_in_window - 1], - temp_zero_states_list[1:], - window_zero_states_list[: bucket_num_in_window - 1], - ), - length=bucket_num_in_window - 1, - ) - - return window_sum - - -def window_merge_algorithm(window_sum: jnp.ndarray, slice_length: int): - """Non-scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - result = window_sum[:, window_dim - 1, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - for w in range(window_dim - 2, -1, -1): - for _ in range(slice_length): - result = jec.pdul_lazy_xyzz_pack(result) - result = jec.padd_lazy_xyzz_pack( - result, - window_sum[:, w, :].reshape( - (coordinate_dim, 1, util.U16_EXT_CHUNK_NUM) - ), - ) - - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -def window_merge_scan_algorithm(window_sum: jnp.ndarray, slice_length: int): - """Scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - window_sum = window_sum.transpose(1, 0, 2) - result = window_sum[window_dim - 1, :, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - - def fori_loop_body(_, result): - result = jec.pdul_lazy_xyzz_pack(result) - return result - - def scan_body(result, window_sum): - result = jax.lax.fori_loop(0, slice_length, fori_loop_body, result) - result = jec.padd_lazy_xyzz_pack( - result, window_sum.reshape((coordinate_dim, 1, util.U16_EXT_CHUNK_NUM)) - ) - return result, None - - result, _ = jax.lax.scan( - scan_body, - result, - window_sum[: window_dim - 1, :, :], - reverse=True, - length=window_dim - 1, - ) - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -class MSMPippenger: - """Pippenger algorithm for elliptic curves. - - Attributes: - coordinate_num: The number of coordinates in the elliptic curve. - slice_length: The length of each slice in the elliptic curve. - window_num: The number of windows in the elliptic curve. - bucket_num_per_window: The number of buckets in each window. - bucket_num_in_window: The number of buckets in each window. - slice_mask: The mask for the slices in the elliptic curve. - blank_point: A JAX array of zeros, used to initialize the buckets. - all_buckets: A JAX array of all the buckets in the elliptic curve. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - scalars: A list of integers, where each integer represents an Orignal scalar - from the trace. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - window_sum: A JAX array of the window sum. - bucket_zero_states: A JAX array of the zero states for the buckets. - temp_sum_zero_states: A JAX array of the zero states for the temp sum. - window_sum_zero_states: A JAX array of the zero states for the window sum. - zero_states_list: A JAX array of the zero states for the buckets. - selection_list: A JAX array of the selection states for the buckets. - selection_index_list: A JAX array of the selection index for the buckets. - msm_length: The length of the MSM trace. - result: The final elliptic curve. - lazy_mat: The lazy matrix used for padding and doubling. - """ - - def __init__(self, slice_length): - self.coordinate_num = util.COORDINATE_NUM - - self.slice_length = slice_length - self.window_num = int(math.ceil(254 / self.slice_length)) # - self.bucket_num_per_window = 2**self.slice_length - self.slice_mask = self.bucket_num_per_window - 1 - self.blank_point = util.int_list_to_array( - [0, 0, 0, 0], util.BASE, util.U16_EXT_CHUNK_NUM - ).reshape(self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM) - - self.all_buckets = jnp.broadcast_to( - self.blank_point.reshape( - 1, self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM - ).transpose(1, 0, 2, 3), - ( - self.coordinate_num, - self.window_num, - self.bucket_num_per_window, - util.U16_EXT_CHUNK_NUM, - ), - ) - - self.window_sum: jnp.ndarray - - self.msm_length = 0 - self.bucket_zero_states: jnp.ndarray - self.temp_sum_zero_states: jnp.ndarray - self.window_sum_zero_states: jnp.ndarray - self.zero_states_list: jnp.ndarray - self.selection_list: jnp.ndarray - self.selection_index_list: jnp.ndarray - self.all_points: jnp.ndarray - - self.scalars: List[int] = [] # Orignal scalar from the trace - # [Points, Points, ..., Points] - self.points: List[jnp.ndarray] = [] # Orignal points from the trace - self.lazy_mat = util.construct_lazy_matrix(util.MODULUS_377_INT) - - self.result = None - - def initialize(self, scalars, points): - """Initialize the Pippenger algorithm. - - Args: - scalars: A list of integers, where each integer represents an Orignal - scalar from the trace. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - """ - # Initial internal selection from the scalar - self.scalars = scalars - self.msm_length = len(scalars) - - # Convert high-precision points into a vector of low-precision chunks - self.points = [ - util.int_list_to_array( - coordinates + [1, 1], util.BASE, util.U16_EXT_CHUNK_NUM - ) - for coordinates in points - ] # pytype: disable=container-type-mismatch - - self.all_points = jnp.array(self.points) - - # For BA - zero_states_pylist, selection_pylist, selection_index_pylist = ( - self.construct_ba_zero_states_and_selection() - ) - self.selection_list = jnp.array(selection_pylist, dtype=jnp.uint8).reshape( - (-1, self.window_num * self.bucket_num_per_window) - ) - # For index selection version BA - self.zero_states_list = jnp.array(zero_states_pylist, dtype=jnp.uint8) - self.selection_index_list = jnp.array( - selection_index_pylist, dtype=jnp.uint32 - ) - - # For BR - ( - bucket_zero_states_py, - temp_sum_zero_states_py, - window_sum_zero_states_py, - ) = self.construct_br_zero_states( - zero_states_pylist[len(zero_states_pylist) - 1] - ) - self.bucket_zero_states = jnp.array(bucket_zero_states_py, dtype=jnp.uint8) - self.temp_sum_zero_states = jnp.array( - temp_sum_zero_states_py, dtype=jnp.uint8 - ) - self.window_sum_zero_states = jnp.array( - window_sum_zero_states_py, dtype=jnp.uint8 - ) - - def bucket_accumulation(self, bucket_accumulation_index_func): - """BA index selection version.""" - self.all_buckets = bucket_accumulation_index_func( - self.all_buckets, - self.all_points, - self.selection_index_list, - self.zero_states_list[: self.msm_length], - ) - - return self.all_buckets - - def bucket_reduction(self, bucket_reduction_func): - """Reduce the buckets to a single point for each window.""" - temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = bucket_reduction_func( - self.all_buckets, - temp_sum, - window_sum, - self.bucket_zero_states[: self.bucket_num_per_window], - self.temp_sum_zero_states[: self.bucket_num_per_window], - self.window_sum_zero_states[: self.bucket_num_per_window], - ) - return self.window_sum - - def window_merge(self, window_merge_func): - """Merge the windows to form the final elliptic curve. - - Args: - window_merge_func: The function to merge the windows. - - Returns: - The final elliptic curve. - """ - self.result = window_merge_func(self.window_sum) - return self.result - - def construct_ba_zero_states_and_selection(self): - """Construct the zero states and selection for the bucket accumulation (BA) step. - - Returns: - A tuple of two lists: the zero states for the bucket accumulation, and the - selection for the bucket accumulation. - """ - zero_states = [ - deepcopy([1] * self.bucket_num_per_window) - for _ in range(self.window_num) - ] - zero_states_list = [] - zero_states_list.append(deepcopy(zero_states)) - selection_list = [] - selection_index_list = [] # Used for index selection - for scalar in self.scalars: - # Compute the zero states for each scalar by time dependence - selection = [ - deepcopy(([0] * self.bucket_num_per_window)) - for _ in range(self.window_num) - ] - selection_index = [] - for w in range(self.window_num): - slice_index = (scalar >> (w * self.slice_length)) & self.slice_mask - zero_states[w][slice_index] = 0 - selection[w][slice_index] = 1 - selection_index.append(slice_index) - - selection_list.append(deepcopy(selection)) - zero_states_list.append(deepcopy(zero_states)) - selection_index_list.append(deepcopy(selection_index)) - return zero_states_list, selection_list, selection_index_list - - def construct_br_zero_states(self, bucket_zero_states): - """Construct the zero states for the bucket reduction (BR) step. - - Args: - bucket_zero_states: The zero states of the buckets. - - Returns: - A tuple of three lists: the zero states for the bucket reduction, the zero - states for the temporary sum, and the zero states for the window sum. - """ - temp_sum_zero_states = np.array([1] * self.window_num) - window_sum_zero_states = np.array([1] * self.window_num) - temp_sum_zero_states_list = [] - window_sum_zero_states_list = [] - temp_sum_zero_states_list.append(temp_sum_zero_states) - window_sum_zero_states_list.append(window_sum_zero_states) - bucket_zero_states_list = np.flip( - np.array(bucket_zero_states).transpose(1, 0), axis=0 - ) - for b in range(self.bucket_num_per_window): - next_temp_sum_zero_states = ( - temp_sum_zero_states_list[b] & bucket_zero_states_list[b] - ) - next_window_sum_zero_states = ( - window_sum_zero_states_list[b] & next_temp_sum_zero_states - ) - temp_sum_zero_states_list.append(next_temp_sum_zero_states) - window_sum_zero_states_list.append(next_window_sum_zero_states) - return ( - bucket_zero_states_list, - temp_sum_zero_states_list, - window_sum_zero_states_list, - ) - - -######################### -# Functions for twisted curve -######################### - - -def padd(partial_sum, single_point): - return jec.padd_lazy_twisted_pack(partial_sum, single_point) - - -def padd_with_pdul_check(partial_sum, single_point): - # coordinate_dim, batch_dim, precision_dim = partial_sum.shape - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_lazy_twisted_pack(partial_sum, single_point) - double_partial_sum = jec.pdul_lazy_twisted_pack(partial_sum) - cond_equal = jnp.all(partial_sum == single_point, axis=(0, 2)).reshape( - 1, batch_dim, 1 - ) - return jnp.where(cond_equal, double_partial_sum, new_partial_sum) - - -def bucket_accumulation_index_scan_parallel_algorithm_twisted( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, batch_window_dim, _, precision_dim = all_buckets.shape - _, _, parallel_dim, _ = ( - all_points.shape - ) # (serial_dim, coordinate_dim, parallel_dim, precision_dim) - single_window_dim = batch_window_dim // parallel_dim - - def scan_body(buckets, point_with_cond_pack): - point, selection_index = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, - (coordinate_dim, parallel_dim, single_window_dim, precision_dim), - (0, 1, 3), - ) - point = point.reshape((coordinate_dim, batch_window_dim, precision_dim)) - selective_buckets = buckets[ - :, jnp.arange(batch_window_dim), selection_index, : - ] - selective_update = padd(selective_buckets, point) - return ( - buckets.at[:, jnp.arange(batch_window_dim), selection_index, :].set( - selective_update - ), - None, - ) - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_index_list), - length=msm_length, - ) - return all_buckets - - -def bucket_reduction_scan_algorithm_twisted( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_num_in_window: int, -): - """Scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - - def scan_body(temp_and_window_sum_pack, buckets): - temp_sum, window_sum = temp_and_window_sum_pack - temp_sum = padd(temp_sum, buckets) - window_sum = padd_with_pdul_check(window_sum, temp_sum) - return (temp_sum, window_sum), None - - (_, window_sum), _ = jax.lax.scan( - scan_body, - (temp_sum, window_sum), - all_buckets[:bucket_num_in_window], - length=bucket_num_in_window, - ) - - return window_sum - - -def batch_window_summation_algorithm_twisted( - batch_window_sum: jnp.ndarray, - all_window_sum: jnp.ndarray, - point_parallel: int, -): - """Batch window summation algorithm for twisted curve.""" - # batch_window_dim is not used in the algorithm, changed it into _. - coordinate_dim, _, precision_dim = all_window_sum.shape - all_window_sum = all_window_sum.reshape( - (coordinate_dim, point_parallel, -1, precision_dim) - ).transpose(1, 0, 2, 3) - - def scan_body(batch_window_sum, single_window_sum): - batch_window_sum = padd(batch_window_sum, single_window_sum) - return batch_window_sum, None - - batch_window_sum, _ = jax.lax.scan( - scan_body, batch_window_sum, all_window_sum, length=point_parallel - ) - return batch_window_sum - - -def window_merge_scan_algorithm_twisted( - window_sum: jnp.ndarray, slice_length: int -): - """Scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - window_sum = window_sum.transpose(1, 0, 2) - result = window_sum[window_dim - 1, :, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - - def fori_loop_body(_, result): - result = jec.pdul_lazy_twisted_pack(result) - return result - - def scan_body(result, window_sum): - result = jax.lax.fori_loop(0, slice_length, fori_loop_body, result) - result = jec.padd_lazy_twisted_pack( - result, window_sum.reshape((coordinate_dim, 1, util.U16_EXT_CHUNK_NUM)) - ) - return result, None - - result, _ = jax.lax.scan( - scan_body, - result, - window_sum[: window_dim - 1, :, :], - reverse=True, - length=window_dim - 1, - ) - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -class MSMPippengerTwisted: - """Pippenger algorithm for elliptic curves with twisted points. - - Attributes: - coordinate_num: The number of coordinates in the elliptic curve. - slice_length: The length of each slice in the elliptic curve. - point_parallel: The number of parallel points in the elliptic curve. - window_num: The number of windows in the elliptic curve. - batch_window_num: The number of batch windows in the elliptic curve. - bucket_num_per_window: The number of buckets in each window. - slice_mask: The mask for the slices in the elliptic curve. - blank_point: A JAX array of zeros, used to initialize the buckets. - all_buckets: A JAX array of all the buckets in the elliptic curve. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - scalars: A list of integers, where each integer represents an Orignal scalar - from the trace. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - window_sum: A JAX array of the window sum. - br_temp_sum: A JAX array of the temp sum for bucket reduction. - batch_window_sum: A JAX array of the batch window sum. - selection_index_list: A JAX array of the selection index for the buckets. - msm_length: The length of the MSM trace. - result: The final elliptic curve. - lazy_mat: The lazy matrix used for padding and doubling. - """ - - def __init__(self, slice_length: int, point_parallel: int): - - self.coordinate_num = util.COORDINATE_NUM - - self.slice_length = slice_length - self.point_parallel = point_parallel - self.window_num = int(math.ceil(254 / self.slice_length)) # - self.batch_window_num = self.window_num * self.point_parallel - self.bucket_num_per_window = ( - 2**self.slice_length - 1 - ) # Note: here remove the bucket_0 - self.slice_mask = 2**self.slice_length - 1 - self.blank_point = util.int_list_to_array( - [0, 1, 1, 0], util.BASE, util.U16_EXT_CHUNK_NUM - ).reshape(self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM) - - self.all_buckets = jnp.broadcast_to( - self.blank_point.reshape( - 1, self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM - ).transpose(1, 0, 2, 3), - ( - self.coordinate_num, - self.window_num, - self.bucket_num_per_window, - util.U16_EXT_CHUNK_NUM, - ), - ) - - self.all_buckets = jnp.tile( - self.all_buckets, (1, self.point_parallel, 1, 1) - ) - - self.window_sum: jnp.ndarray - self.br_temp_sum: jnp.ndarray - self.batch_window_sum: jnp.ndarray - - self.msm_length = 0 - - self.selection_index_list: jnp.ndarray - self.all_points: jnp.ndarray - - self.scalars: List[int] = [] # Orignal scalar from the trace - # [Points, Points, ..., Points] - self.points: List[jnp.ndarray] = [] # Orignal points from the trace - self.lazy_mat = util.construct_lazy_matrix(util.MODULUS_377_INT) - - self.result = None - - def initialize(self, scalars, points): - """Initialize the Pippenger algorithm. - - Args: - scalars: A list of integers, where each integer represents an Orignal - scalar from the trace. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - """ - # Initial internal selection from the scalar - self.scalars = scalars - self.msm_length = len(scalars) - - # Convert high-precision points into a vector of low-precision chunks - self.points = [ - util.int_list_to_array(coordinates, util.BASE, util.U16_EXT_CHUNK_NUM) - for coordinates in points - ] # pytype: disable=container-type-mismatch - - self.all_points = jnp.array(self.points) - _, coordinate_dim, precision_dim = self.all_points.shape - - # For BA - selection_index_pylist = self.construct_ba_selection() - # Note: it contains uint(-1) for the bucket_0. - # In BA, it may cause some undefined behavior when do bucket selection - # it is correct now, because when setting buckets after the computation, - # jax.numpy will ignore the index with uint(-1) out of index. - self.selection_index_list = jnp.array(selection_index_pylist).astype( - jnp.uint32 - ) - _, window_dim = self.selection_index_list.shape - - # Batch construction - self.all_points = self.all_points.reshape( - (-1, self.point_parallel, coordinate_dim, precision_dim) - ).transpose(0, 2, 1, 3) - self.selection_index_list = self.selection_index_list.reshape( - (-1, window_dim * self.point_parallel) - ) - self.br_temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.batch_window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - - def bucket_accumulation(self, bucket_accumulation_index_func): - """BA index selection version.""" - self.all_buckets = bucket_accumulation_index_func( - self.all_buckets, self.all_points, self.selection_index_list - ) - return self.all_buckets - - def bucket_reduction(self, bucket_reduction_func): - """Reduce the buckets to a single point for each window.""" - temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = bucket_reduction_func( - self.all_buckets, temp_sum, window_sum - ) - return self.window_sum - - def batch_window_summation(self, batch_window_summation_func): - """Sum the batch windows to form the final window sum.""" - batch_window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = batch_window_summation_func( - batch_window_sum, self.window_sum - ) - return self.window_sum - - def window_merge(self, window_merge_func): - """Merge the windows to form the final elliptic curve.""" - self.result = window_merge_func(self.window_sum) - return self.result - - def construct_ba_selection(self): - selection_index_list = [] # Used for index selection - for scalar in self.scalars: - # Compute the zero states for each scalar by time dependence - selection_index = [] - for w in range(self.window_num): - slice_index = ( - (scalar >> (w * self.slice_length)) & self.slice_mask - ) - 1 - selection_index.append(slice_index) - selection_index_list.append(deepcopy(selection_index)) - return selection_index_list - - -######################### -# Functions for Signed bucket + twisted curve -######################### -def padd_with_sign(partial_sum, single_point, sign): - neg_single_point = jec.pneg_lazy_twisted_pack(single_point) - _, batch_dim, _ = partial_sum.shape - cond_neg = jnp.equal(sign, 1).reshape(1, batch_dim, 1) - signed_point = jnp.where(cond_neg, neg_single_point, single_point) - result = jec.padd_lazy_twisted_pack(partial_sum, signed_point) - return result - - -def bucket_accumulation_signed_index_scan_parallel_algorithm_twisted( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - selection_sign_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA with index selection.""" - coordinate_dim, batch_window_dim, _, precision_dim = all_buckets.shape - _, _, parallel_dim, _ = ( - all_points.shape - ) # (serial_dim, coordinate_dim, parallel_dim, precision_dim) - single_window_dim = batch_window_dim // parallel_dim - - def scan_body(buckets, point_with_cond_pack): - point, selection_index, selection_sign = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, - (coordinate_dim, parallel_dim, single_window_dim, precision_dim), - (0, 1, 3), - ) - point = point.reshape((coordinate_dim, batch_window_dim, precision_dim)) - selective_buckets = buckets[ - :, jnp.arange(batch_window_dim), selection_index, : - ] - selective_update = padd_with_sign(selective_buckets, point, selection_sign) - return ( - buckets.at[:, jnp.arange(batch_window_dim), selection_index, :].set( - selective_update - ), - None, - ) - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_index_list, selection_sign_list), - length=msm_length, - ) - return all_buckets - - -class MSMPippengerTwistedSigned: - """Pippenger algorithm for elliptic curves with twisted and signed points. - - Attributes: - coordinate_num: The number of coordinates in the elliptic curve. - slice_length: The length of each slice in the elliptic curve. - point_parallel: The number of parallel points in the elliptic curve. - window_num: The number of windows in the elliptic curve. - batch_window_num: The number of batch windows in the elliptic curve. - bucket_num_per_window: The number of buckets in each window. - slice_mask: The mask for the slices in the elliptic curve. - blank_point: A JAX array of zeros, used to initialize the buckets. - all_buckets: A JAX array of all the buckets in the elliptic curve. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - scalars: A list of integers, where each integer represents an Orignal scalar - from the trace. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - window_sum: A JAX array of the window sum. - zero_states_list: A JAX array of the zero states for the buckets. - selection_list: A JAX array of the selection states for the buckets. - selection_index_list: A JAX array of the selection index for the buckets. - selection_sign_list: A JAX array of the selection sign for the buckets. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - msm_length: The length of the MSM trace. - result: The final elliptic curve. - lazy_mat: The lazy matrix used for padding and doubling. - """ - - def __init__(self, slice_length: int, point_parallel: int): - self.coordinate_num = util.COORDINATE_NUM - - self.slice_length = slice_length - self.point_parallel = point_parallel - self.window_num = int(math.ceil(254 / self.slice_length)) # - self.batch_window_num = self.window_num * self.point_parallel - self.bucket_num_per_window = 2 ** (self.slice_length - 1) - self.slice_mask = 2**self.slice_length - 1 - self.blank_point = util.int_list_to_array( - [0, 1, 1, 0], util.BASE, util.U16_EXT_CHUNK_NUM - ).reshape(self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM) - - self.all_buckets = jnp.broadcast_to( - self.blank_point.reshape( - 1, self.coordinate_num, 1, util.U16_EXT_CHUNK_NUM - ).transpose(1, 0, 2, 3), - ( - self.coordinate_num, - self.window_num, - self.bucket_num_per_window, - util.U16_EXT_CHUNK_NUM, - ), - ) - - self.all_buckets = jnp.tile( - self.all_buckets, (1, self.point_parallel, 1, 1) - ) - - self.window_sum: jnp.ndarray - - self.msm_length = 0 - - self.zero_states_list: jnp.ndarray - self.selection_list: jnp.ndarray - self.selection_index_list: jnp.ndarray - self.selection_sign_list: jnp.ndarray - self.all_points: jnp.ndarray - - self.scalars: List[int] = [] # Orignal scalar from the trace - # [Points, Points, ..., Points] - self.points: List[jnp.ndarray] = [] # Orignal points from the trace - self.lazy_mat = util.construct_lazy_matrix(util.MODULUS_377_INT) - - self.result = None - - def initialize(self, scalars, points): - """Initialize the Pippenger algorithm. - - Args: - scalars: A list of integers, where each integer represents an Orignal - scalar from the trace. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - """ - # Initial internal selection from the scalar - self.scalars = scalars - self.msm_length = len(scalars) - - # Convert high-precision points into a vector of low-precision chunks - self.points = [ - util.int_list_to_array(coordinates, util.BASE, util.U16_EXT_CHUNK_NUM) - for coordinates in points - ] - self.all_points = jnp.array(self.points) - _, coordinate_dim, precision_dim = self.all_points.shape - - # For BA - selection_index_pylist, selection_sign_pylist = ( - self.construct_ba_selection_with_sign() - ) - self.selection_index_list = jnp.asarray(selection_index_pylist).astype( - jnp.uint32 - ) - self.selection_sign_list = jnp.array(selection_sign_pylist, dtype=jnp.uint8) - _, window_dim = self.selection_index_list.shape - - # Batch construction - self.all_points = self.all_points.reshape( - (-1, self.point_parallel, coordinate_dim, precision_dim) - ).transpose(0, 2, 1, 3) - self.selection_index_list = self.selection_index_list.reshape( - (-1, window_dim * self.point_parallel) - ) - self.selection_sign_list = self.selection_sign_list.reshape( - (-1, window_dim * self.point_parallel) - ) - - def bucket_accumulation(self, bucket_accumulation_index_algorithm): - """BA index selection version.""" - self.all_buckets = bucket_accumulation_index_algorithm( - self.all_buckets, - self.all_points, - self.selection_index_list, - self.selection_sign_list, - ) - - return self.all_buckets - - def bucket_reduction(self, bucket_reduction_func): - """Reduce the buckets to a single point for each window.""" - temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = bucket_reduction_func( - self.all_buckets, temp_sum, window_sum - ) - return self.window_sum - - def batch_window_summation(self, batch_window_summation_algorithm): - batch_window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.U16_EXT_CHUNK_NUM, - ), - ) - self.window_sum = batch_window_summation_algorithm( - batch_window_sum, self.window_sum - ) - return self.window_sum - - def window_merge(self, window_merge_func): - """Merge the windows to form the final elliptic curve.""" - self.result = window_merge_func(self.window_sum) - return self.result - - def construct_ba_selection_with_sign(self): - """Construct the selection index and sign for the bucket accumulation (BA) step. - - Returns: - A tuple of two lists: the selection index for the bucket accumulation, and - the selection sign for the bucket accumulation. - """ - selection_index_list = [] # Used for index selection - selection_sign_list = [] - slice_max = 2**self.slice_length - slice_half = 2 ** (self.slice_length - 1) - for scalar in self.scalars: - # Compute the zero states for each scalar by time dependence - selection_index = [] - selection_sign = [] - carry = 0 - for w in range(self.window_num): - slice_index = (scalar >> (w * self.slice_length)) & self.slice_mask - slice_index = slice_index + carry - if slice_index >= slice_half: - new_slice_index = abs(slice_index - slice_max) - carry = 1 - else: - new_slice_index = slice_index - carry = 0 - selection_index.append(new_slice_index - 1) - selection_sign.append(carry) - assert carry == 0 - selection_index_list.append(deepcopy(selection_index)) - selection_sign_list.append(deepcopy(selection_sign)) - return selection_index_list, selection_sign_list diff --git a/jaxite_ec/pippenger_rns.py b/jaxite_ec/pippenger_rns.py deleted file mode 100644 index fd27be3..0000000 --- a/jaxite_ec/pippenger_rns.py +++ /dev/null @@ -1,1057 +0,0 @@ -"""RNS Pippenger algorithm for elliptic curves. - -This module implements the Pippenger algorithm for elliptic curves. The -algorithm -is a generalization of the elliptic curve algorithm that can be used to find -elliptic curves of arbitrary order. - -The Pippenger algorithm works by first finding a set of "scalars" and "points" -that lie on the elliptic curve. These scalars and points are then used to -construct -a "bucket" for each window of the elliptic curve. The buckets are then reduced -to a single point for each window. Finally, the points from all of the windows -are merged together to form the final elliptic curve. - -The Pippenger algorithm is a powerful tool for finding elliptic curves, and it -has been used to find elliptic curves of arbitrary order and dimension. - -Example Compiled Function: - -bucket_accumulation_scan_jax_jit = jax.jit( - bucket_accumulation_scan_jax, - static_argnames='msm_length').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM*BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH, COORDINATE_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM*BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM*BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - MSM_LENGTH - ).compile() - -bucket_accumulation_index_scan_jax_jit = jax.jit( - bucket_accumulation_index_scan_jax, - static_argnames='msm_length').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM,BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH, COORDINATE_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM), - dtype=jnp.uint32 - ), - jax.ShapeDtypeStruct( - (MSM_LENGTH,WINDOW_NUM,BUCKET_NUM_PER_WINDOW), - dtype=jnp.uint8 - ), - MSM_LENGTH - ).compile() - -bucket_reduction_scan_jax_jit = jax.jit( - bucket_reduction_scan_jax, - static_argnames='bucket_num_in_window').lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, BUCKET_NUM_PER_WINDOW, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (BUCKET_NUM_PER_WINDOW, WINDOW_NUM,), - dtype=jnp.uint8 - ), - BUCKET_NUM_PER_WINDOW - ).compile() - -window_merge_scan_jax_jit = jax.jit( - window_merge_scan_jax, - static_argnames='slice_length').lower( - jax.ShapeDtypeStruct((COORDINATE_NUM, WINDOW_NUM, CHUNK_NUM), - dtype=jnp.uint16), - SLICE_LENGTH - ).compile() - -selective_padd_with_zero_jit = jax.jit( - selective_padd_with_zero).lower( - jax.ShapeDtypeStruct( - (COORDINATE_NUM, WINDOW_NUM*BUCKET_NUM_PER_WINDOW, COORDINATE_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (COORDINATE_NUM, MSM_LENGTH, COORDINATE_NUM), - dtype=jnp.uint16 - ), - jax.ShapeDtypeStruct( - (WINDOW_NUM*BUCKET_NUM_PER_WINDOW,), - dtype=jnp.uint8 - ), - jax.ShapeDtypeStruct( - (WINDOW_NUM*BUCKET_NUM_PER_WINDOW,), - dtype=jnp.uint8 - ), - ).compile() -""" - -import copy -import math -from typing import List - -import jax -import jax.numpy as jnp -from jaxite.jaxite_ec import util -import jaxite.jaxite_ec.elliptic_curve as jec -import jaxite.jaxite_ec.finite_field as ff -import numpy as np - - -deepcopy = copy.deepcopy - -""" -Example Parameters: -SLICE_LENGTH = 4 -WINDOW_NUM = int(math.ceil(255 / SLICE_LENGTH)) -BUCKET_NUM_PER_WINDOW = 2**SLICE_LENGTH -MSM_LENGTH = 1024 -COORDINATE_NUM = 4 -""" - - -def selective_padd_with_zero(partial_sum, single_point, select, is_zero): - """Padd the partial sum with the single point, but only if the selection state is 1. - - Args: - partial_sum: The partial sum. - single_point: The single point. - select: The selection state. - is_zero: The zero states. - - Returns: - The new partial sum. - """ - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_rns_xyzz_pack(partial_sum, single_point) - - cond_select = jnp.equal(select, 1).reshape(1, batch_dim, 1) - sum_result = jnp.where(cond_select, new_partial_sum, partial_sum) - - cond_zero = jnp.equal(is_zero, 1).reshape(1, batch_dim, 1) - cond_select_and_zero = jnp.logical_and(cond_select, cond_zero) - result = jnp.where(cond_select_and_zero, single_point, sum_result) - return result - - -def padd_with_zero(partial_sum, single_point, ps_is_zero, sp_is_zero): - """Padd the partial sum with the single point. - - Check if the partial sum is equal to the single point first. - - Args: - partial_sum: The partial sum. - single_point: The single point. - ps_is_zero: The zero states of the partial sum. - sp_is_zero: The zero states of the single point. - - Returns: - The new partial sum. - """ - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_rns_xyzz_pack(partial_sum, single_point) - cond_sp_zero = jnp.equal(sp_is_zero, 1).reshape(1, batch_dim, 1) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_1 = jnp.where(cond_sp_zero, partial_sum, single_point) - result_2 = jnp.where( - jnp.logical_or(cond_sp_zero, cond_ps_zero), result_1, new_partial_sum - ) - return result_2 - - -def padd_with_zero_alter(partial_sum, single_point, ps_is_zero): - - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_rns_xyzz_pack(partial_sum, single_point) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_2 = jnp.where(cond_ps_zero, single_point, new_partial_sum) - return result_2 - - -def padd_with_zero_and_pdul_check( - partial_sum, single_point, ps_is_zero, sp_is_zero -): - """Padd the partial sum with the single point. - - Check if the partial sum is equal to the single point first. If they are - equal, then double the partial sum. - - Args: - partial_sum: The partial sum. - single_point: The single point. - ps_is_zero: The zero states of the partial sum. - sp_is_zero: The zero states of the single point. - - Returns: - The new partial sum. - """ - # coordinate_dim, batch_dim, precision_dim = partial_sum.shape - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_rns_xyzz_pack(partial_sum, single_point) - double_partial_sum = jec.pdul_rns_xyzz_pack(partial_sum) - cond_equal = jnp.all(partial_sum == single_point, axis=(0, 2)).reshape( - 1, batch_dim, 1 - ) - cond_sp_zero = jnp.equal(sp_is_zero, 1).reshape(1, batch_dim, 1) - cond_ps_zero = jnp.equal(ps_is_zero, 1).reshape(1, batch_dim, 1) - result_1 = jnp.where(cond_sp_zero, partial_sum, single_point) - result_2 = jnp.where( - jnp.logical_or(cond_sp_zero, cond_ps_zero), result_1, new_partial_sum - ) - reuslt_3 = jnp.where(cond_equal, double_partial_sum, result_2) - return reuslt_3 - - -def bucket_accumulation_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Non-scan version BA.""" - coordinate_dim, buckets_dim, precision_dim = all_buckets.shape - for i in range(msm_length): - point = jax.lax.broadcast_in_dim( - all_points[i], (coordinate_dim, buckets_dim, precision_dim), (0, 2) - ) - all_buckets = selective_padd_with_zero( - all_buckets, point, selection_list[i], zero_states_list[i] - ) - return all_buckets - - -def bucket_accumulation_scan_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA.""" - coordinate_dim, buckets_dim, precision_dim = all_buckets.shape - - def scan_body(buckets, point_with_cond_pack): - point, selection, zero_states = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, (coordinate_dim, buckets_dim, precision_dim), (0, 2) - ) - all_buckets = selective_padd_with_zero( - buckets, point, selection, zero_states - ) - return all_buckets, None - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_list, zero_states_list), - length=msm_length, - ) - return all_buckets - - -def bucket_accumulation_index_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Non-scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, window_dim, _, precision_dim = all_buckets.shape - for i in range(msm_length): - point = jax.lax.broadcast_in_dim( - all_points[i], (coordinate_dim, window_dim, precision_dim), (0, 2) - ) - selective_buckets = all_buckets[ - :, jnp.arange(window_dim), selection_index_list[i], : - ] - selective_zero_states = zero_states_list[ - i, jnp.arange(window_dim), selection_index_list[i] - ] - selective_update = padd_with_zero_alter( - selective_buckets, point, selective_zero_states - ) - all_buckets = all_buckets.at[ - :, jnp.arange(window_dim), selection_index_list[i], : - ].set(selective_update) - return all_buckets - - -def bucket_accumulation_index_scan_algorithm( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - zero_states_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, window_dim, _, precision_dim = all_buckets.shape - - def scan_body(buckets, point_with_cond_pack): - point, selection_index, zero_states = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, (coordinate_dim, window_dim, precision_dim), (0, 2) - ) - selective_buckets = buckets[:, jnp.arange(window_dim), selection_index, :] - selective_zero_states = zero_states[jnp.arange(window_dim), selection_index] - selective_update = padd_with_zero_alter( - selective_buckets, point, selective_zero_states - ) - return ( - buckets.at[:, jnp.arange(window_dim), selection_index, :].set( - selective_update - ), - None, - ) - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_index_list, zero_states_list), - length=msm_length, - ) - return all_buckets - - -def bucket_reduction_algorithm( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_zero_states_list: jnp.ndarray, - temp_zero_states_list: jnp.ndarray, - window_zero_states_list: jnp.ndarray, - bucket_num_in_window: int, -): - """Non-scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - for i in range(bucket_num_in_window - 1): - temp_sum = padd_with_zero( - temp_sum, - all_buckets[i], - temp_zero_states_list[i], - bucket_zero_states_list[i], - ) - window_sum = padd_with_zero_and_pdul_check( - window_sum, - temp_sum, - window_zero_states_list[i], - temp_zero_states_list[i + 1], - ) - return window_sum - - -def bucket_reduction_scan_algorithm( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_zero_states_list: jnp.ndarray, - temp_zero_states_list: jnp.ndarray, - window_zero_states_list: jnp.ndarray, - bucket_num_in_window: int, -): - """Scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - - def scan_body(temp_and_window_sum_pack, bucket_with_cond_pack): - temp_sum, window_sum = temp_and_window_sum_pack - ( - bucket, - bucket_zero_states, - temp_zero_states, - temp_zero_states1, - window_zero_states, - ) = bucket_with_cond_pack - temp_sum = padd_with_zero( - temp_sum, bucket, temp_zero_states, bucket_zero_states - ) - window_sum = padd_with_zero_and_pdul_check( - window_sum, temp_sum, window_zero_states, temp_zero_states1 - ) - return (temp_sum, window_sum), None - - (_, window_sum), _ = jax.lax.scan( - scan_body, - (temp_sum, window_sum), - ( - all_buckets[: bucket_num_in_window - 1], - bucket_zero_states_list[: bucket_num_in_window - 1], - temp_zero_states_list[: bucket_num_in_window - 1], - temp_zero_states_list[1:], - window_zero_states_list[: bucket_num_in_window - 1], - ), - length=bucket_num_in_window - 1, - ) - - return window_sum - - -def window_merge_algorithm(window_sum: jnp.ndarray, slice_length: int): - """Non-scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - result = window_sum[:, window_dim - 1, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - for w in range(window_dim - 2, -1, -1): - for _ in range(slice_length): - result = jec.pdul_rns_xyzz_pack(result) - result = jec.padd_rns_xyzz_pack( - result, - window_sum[:, w, :].reshape((coordinate_dim, 1, util.NUM_MODULI)), - ) - - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -def window_merge_scan_algorithm(window_sum: jnp.ndarray, slice_length: int): - """Scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - window_sum = window_sum.transpose(1, 0, 2) - result = window_sum[window_dim - 1, :, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - - def fori_loop_body(_, result): - result = jec.pdul_rns_xyzz_pack(result) - return result - - def scan_body(result, window_sum): - result = jax.lax.fori_loop(0, slice_length, fori_loop_body, result) - result = jec.padd_rns_xyzz_pack( - result, window_sum.reshape((coordinate_dim, 1, util.NUM_MODULI)) - ) - return result, None - - result, _ = jax.lax.scan( - scan_body, - result, - window_sum[: window_dim - 1, :, :], - reverse=True, - length=window_dim - 1, - ) - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -class MSMPippenger: - """Pippenger algorithm for elliptic curves. - - Attributes: - coordinate_num: The number of coordinates in the elliptic curve. - slice_length: The length of each slice in the elliptic curve. - window_num: The number of windows in the elliptic curve. - bucket_num_per_window: The number of buckets in each window. - bucket_num_in_window: The number of buckets in each window. - slice_mask: The mask for the slices in the elliptic curve. - blank_point: A JAX array of zeros, used to initialize the buckets. - all_buckets: A JAX array of all the buckets in the elliptic curve. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - scalars: A list of integers, where each integer represents an Orignal scalar - from the trace. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - window_sum: A JAX array of the window sum. - bucket_zero_states: A JAX array of the zero states for the buckets. - temp_sum_zero_states: A JAX array of the zero states for the temp sum. - window_sum_zero_states: A JAX array of the zero states for the window sum. - zero_states_list: A JAX array of the zero states for the buckets. - selection_list: A JAX array of the selection states for the buckets. - selection_index_list: A JAX array of the selection index for the buckets. - msm_length: The length of the MSM trace. - result: The final elliptic curve. - rns_mat: The lazy matrix used for padding and doubling. - """ - - def __init__(self, slice_length): - self.coordinate_num = util.COORDINATE_NUM - - self.slice_length = slice_length - self.window_num = int(math.ceil(254 / self.slice_length)) # - self.bucket_num_per_window = 2**self.slice_length - self.slice_mask = self.bucket_num_per_window - 1 - self.blank_point = util.int_list_to_array( - [0, 0, 0, 0], util.BASE, util.NUM_MODULI - ).reshape(self.coordinate_num, 1, util.NUM_MODULI) - - self.all_buckets = jnp.broadcast_to( - self.blank_point.reshape( - 1, self.coordinate_num, 1, util.NUM_MODULI - ).transpose(1, 0, 2, 3), - ( - self.coordinate_num, - self.window_num, - self.bucket_num_per_window, - util.NUM_MODULI, - ), - ) - - self.window_sum: jnp.ndarray - - self.msm_length = 0 - self.bucket_zero_states: jnp.ndarray - self.temp_sum_zero_states: jnp.ndarray - self.window_sum_zero_states: jnp.ndarray - self.zero_states_list: jnp.ndarray - self.selection_list: jnp.ndarray - self.selection_index_list: jnp.ndarray - self.all_points: jnp.ndarray - - self.scalars: List[int] = [] # Orignal scalar from the trace - # [Points, Points, ..., Points] - self.points: List[jnp.ndarray] = [] # Orignal points from the trace - self.rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - - self.result = None - - def initialize(self, scalars, points): - """Initialize the Pippenger algorithm. - - Args: - scalars: A list of integers, where each integer represents an Orignal - scalar from the trace. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - """ - # Initial internal selection from the scalar - self.scalars = scalars - self.msm_length = len(scalars) - - # Convert high-precision points into a vector of low-precision chunks - self.points = [ - util.int_list_to_array_rns(coordinates + [1, 1]) - for coordinates in points - ] # pytype: disable=container-type-mismatch - - self.all_points = jnp.array(self.points).astype(jnp.uint16) - - # For BA - zero_states_pylist, selection_pylist, selection_index_pylist = ( - self.construct_ba_zero_states_and_selection() - ) - self.selection_list = jnp.array(selection_pylist, dtype=jnp.uint8).reshape( - (-1, self.window_num * self.bucket_num_per_window) - ) - # For index selection version BA - self.zero_states_list = jnp.array(zero_states_pylist, dtype=jnp.uint8) - self.selection_index_list = jnp.array( - selection_index_pylist, dtype=jnp.uint32 - ) - - # For BR - ( - bucket_zero_states_py, - temp_sum_zero_states_py, - window_sum_zero_states_py, - ) = self.construct_br_zero_states( - zero_states_pylist[len(zero_states_pylist) - 1] - ) - self.bucket_zero_states = jnp.array(bucket_zero_states_py, dtype=jnp.uint8) - self.temp_sum_zero_states = jnp.array( - temp_sum_zero_states_py, dtype=jnp.uint8 - ) - self.window_sum_zero_states = jnp.array( - window_sum_zero_states_py, dtype=jnp.uint8 - ) - - def bucket_accumulation(self, bucket_accumulation_index_func): - """BA index selection version.""" - self.all_buckets = bucket_accumulation_index_func( - self.all_buckets, - self.all_points, - self.selection_index_list, - self.zero_states_list[: self.msm_length], - ) - - return self.all_buckets - - def bucket_reduction(self, bucket_reduction_func): - """Reduce the buckets to a single point for each window.""" - temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.NUM_MODULI, - ), - ) - window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.NUM_MODULI, - ), - ) - self.window_sum = bucket_reduction_func( - self.all_buckets, - temp_sum, - window_sum, - self.bucket_zero_states[: self.bucket_num_per_window], - self.temp_sum_zero_states[: self.bucket_num_per_window], - self.window_sum_zero_states[: self.bucket_num_per_window], - ) - return self.window_sum - - def window_merge(self, window_merge_func): - """Merge the windows to form the final elliptic curve. - - Args: - window_merge_func: The function to merge the windows. - - Returns: - The final elliptic curve. - """ - self.result = window_merge_func(self.window_sum) - return self.result - - def construct_ba_zero_states_and_selection(self): - """Construct the zero states and selection for the bucket accumulation (BA) step. - - Returns: - A tuple of two lists: the zero states for the bucket accumulation, and the - selection for the bucket accumulation. - """ - zero_states = [ - deepcopy([1] * self.bucket_num_per_window) - for _ in range(self.window_num) - ] - zero_states_list = [] - zero_states_list.append(deepcopy(zero_states)) - selection_list = [] - selection_index_list = [] # Used for index selection - for scalar in self.scalars: - # Compute the zero states for each scalar by time dependence - selection = [ - deepcopy(([0] * self.bucket_num_per_window)) - for _ in range(self.window_num) - ] - selection_index = [] - for w in range(self.window_num): - slice_index = (scalar >> (w * self.slice_length)) & self.slice_mask - zero_states[w][slice_index] = 0 - selection[w][slice_index] = 1 - selection_index.append(slice_index) - - selection_list.append(deepcopy(selection)) - zero_states_list.append(deepcopy(zero_states)) - selection_index_list.append(deepcopy(selection_index)) - return zero_states_list, selection_list, selection_index_list - - def construct_br_zero_states(self, bucket_zero_states): - """Construct the zero states for the bucket reduction (BR) step. - - Args: - bucket_zero_states: The zero states of the buckets. - - Returns: - A tuple of three lists: the zero states for the bucket reduction, the zero - states for the temporary sum, and the zero states for the window sum. - """ - temp_sum_zero_states = np.array([1] * self.window_num) - window_sum_zero_states = np.array([1] * self.window_num) - temp_sum_zero_states_list = [] - window_sum_zero_states_list = [] - temp_sum_zero_states_list.append(temp_sum_zero_states) - window_sum_zero_states_list.append(window_sum_zero_states) - bucket_zero_states_list = np.flip( - np.array(bucket_zero_states).transpose(1, 0), axis=0 - ) - for b in range(self.bucket_num_per_window): - next_temp_sum_zero_states = ( - temp_sum_zero_states_list[b] & bucket_zero_states_list[b] - ) - next_window_sum_zero_states = ( - window_sum_zero_states_list[b] & next_temp_sum_zero_states - ) - temp_sum_zero_states_list.append(next_temp_sum_zero_states) - window_sum_zero_states_list.append(next_window_sum_zero_states) - return ( - bucket_zero_states_list, - temp_sum_zero_states_list, - window_sum_zero_states_list, - ) - - -######################### -# Functions for twisted curve -######################### - - -def padd(partial_sum, single_point): - return jec.padd_rns_twisted_pack(partial_sum, single_point) - - -def padd_with_pdul_check(partial_sum, single_point): - # coordinate_dim, batch_dim, precision_dim = partial_sum.shape - _, batch_dim, _ = partial_sum.shape - new_partial_sum = jec.padd_rns_twisted_pack(partial_sum, single_point) - double_partial_sum = jec.pdul_rns_twisted_pack(partial_sum) - cond_equal = jnp.all(partial_sum == single_point, axis=(0, 2)).reshape( - 1, batch_dim, 1 - ) - return jnp.where(cond_equal, double_partial_sum, new_partial_sum) - - -def bucket_accumulation_index_scan_parallel_algorithm_twisted( - all_buckets: jnp.ndarray, - all_points: jnp.ndarray, - selection_index_list: jnp.ndarray, - msm_length: int, -): - """Scan version BA with index selection.""" - # buckets_dim is not used in the algorithm, changed it into _. - coordinate_dim, batch_window_dim, _, precision_dim = all_buckets.shape - _, _, parallel_dim, _ = ( - all_points.shape - ) # (serial_dim, coordinate_dim, parallel_dim, precision_dim) - single_window_dim = batch_window_dim // parallel_dim - - def scan_body(buckets, point_with_cond_pack): - point, selection_index = point_with_cond_pack - point = jax.lax.broadcast_in_dim( - point, - (coordinate_dim, parallel_dim, single_window_dim, precision_dim), - (0, 1, 3), - ) - point = point.reshape((coordinate_dim, batch_window_dim, precision_dim)) - selective_buckets = buckets[ - :, jnp.arange(batch_window_dim), selection_index, : - ] - selective_update = padd(selective_buckets, point) - return ( - buckets.at[:, jnp.arange(batch_window_dim), selection_index, :].set( - selective_update - ), - None, - ) - - all_buckets, _ = jax.lax.scan( - scan_body, - all_buckets, - (all_points, selection_index_list), - length=msm_length, - ) - return all_buckets - - -def bucket_reduction_scan_algorithm_twisted( - all_buckets: jnp.ndarray, - temp_sum: jnp.ndarray, - window_sum: jnp.ndarray, - bucket_num_in_window: int, -): - """Scan version BR.""" - all_buckets = jnp.flip(all_buckets.transpose(2, 0, 1, 3), axis=0) - - def scan_body(temp_and_window_sum_pack, buckets): - temp_sum, window_sum = temp_and_window_sum_pack - temp_sum = padd(temp_sum, buckets) - window_sum = padd_with_pdul_check(window_sum, temp_sum) - return (temp_sum, window_sum), None - - (_, window_sum), _ = jax.lax.scan( - scan_body, - (temp_sum, window_sum), - all_buckets[:bucket_num_in_window], - length=bucket_num_in_window, - ) - - return window_sum - - -def batch_window_summation_algorithm_twisted( - batch_window_sum: jnp.ndarray, - all_window_sum: jnp.ndarray, - point_parallel: int, -): - """Batch window summation algorithm for twisted curve.""" - # batch_window_dim is not used in the algorithm, changed it into _. - coordinate_dim, _, precision_dim = all_window_sum.shape - all_window_sum = all_window_sum.reshape( - (coordinate_dim, point_parallel, -1, precision_dim) - ).transpose(1, 0, 2, 3) - - def scan_body(batch_window_sum, single_window_sum): - batch_window_sum = padd(batch_window_sum, single_window_sum) - return batch_window_sum, None - - batch_window_sum, _ = jax.lax.scan( - scan_body, batch_window_sum, all_window_sum, length=point_parallel - ) - return batch_window_sum - - -def window_merge_scan_algorithm_twisted( - window_sum: jnp.ndarray, slice_length: int -): - """Scan version WM.""" - coordinate_dim, window_dim, precision_dim = window_sum.shape - window_sum = window_sum.transpose(1, 0, 2) - result = window_sum[window_dim - 1, :, :].reshape( - (coordinate_dim, 1, precision_dim) - ) - - def fori_loop_body(_, result): - result = jec.pdul_rns_twisted_pack(result) - return result - - def scan_body(result, window_sum): - result = jax.lax.fori_loop(0, slice_length, fori_loop_body, result) - result = jec.padd_rns_twisted_pack( - result, window_sum.reshape((coordinate_dim, 1, util.NUM_MODULI)) - ) - return result, None - - result, _ = jax.lax.scan( - scan_body, - result, - window_sum[: window_dim - 1, :, :], - reverse=True, - length=window_dim - 1, - ) - result = result.reshape((coordinate_dim, precision_dim)) - return result - - -class MSMPippengerTwisted: - """Pippenger algorithm for elliptic curves with twisted points. - - Attributes: - coordinate_num: The number of coordinates in the elliptic curve. - slice_length: The length of each slice in the elliptic curve. - point_parallel: The number of parallel points in the elliptic curve. - window_num: The number of windows in the elliptic curve. - batch_window_num: The number of batch windows in the elliptic curve. - bucket_num_per_window: The number of buckets in each window. - slice_mask: The mask for the slices in the elliptic curve. - blank_point: A JAX array of zeros, used to initialize the buckets. - all_buckets: A JAX array of all the buckets in the elliptic curve. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - scalars: A list of integers, where each integer represents an Orignal scalar - from the trace. - all_points: A JAX array of all the points in the elliptic curve. from the - trace. - window_sum: A JAX array of the window sum. - br_temp_sum: A JAX array of the temp sum for bucket reduction. - batch_window_sum: A JAX array of the batch window sum. - selection_index_list: A JAX array of the selection index for the buckets. - msm_length: The length of the MSM trace. - result: The final elliptic curve. - rns_mat: The lazy matrix used for padding and doubling. - """ - - def __init__(self, slice_length: int, point_parallel: int): - - self.coordinate_num = util.COORDINATE_NUM - - self.slice_length = slice_length - self.point_parallel = point_parallel - self.window_num = int(math.ceil(254 / self.slice_length)) # - self.batch_window_num = self.window_num * self.point_parallel - self.bucket_num_per_window = ( - 2**self.slice_length - 1 - ) # Note: here remove the bucket_0 - self.slice_mask = 2**self.slice_length - 1 - self.blank_point = ( - util.int_list_to_array_rns([0, 1, 1, 0]) - .reshape(self.coordinate_num, 1, util.NUM_MODULI) - .astype(jnp.uint16) - ) - - self.all_buckets = jnp.broadcast_to( - self.blank_point.reshape( - 1, self.coordinate_num, 1, util.NUM_MODULI - ).transpose(1, 0, 2, 3), - ( - self.coordinate_num, - self.window_num, - self.bucket_num_per_window, - util.NUM_MODULI, - ), - ) - - self.all_buckets = jnp.tile( - self.all_buckets, (1, self.point_parallel, 1, 1) - ) - - self.window_sum: jnp.ndarray - self.br_temp_sum: jnp.ndarray - self.batch_window_sum: jnp.ndarray - - self.msm_length = 0 - - self.selection_index_list: jnp.ndarray - self.all_points: jnp.ndarray - - self.scalars: List[int] = [] # Orignal scalar from the trace - # [Points, Points, ..., Points] - self.points: List[jnp.ndarray] = [] # Orignal points from the trace - self.rns_mat = util.construct_rns_matrix(util.MODULUS_377_INT) - - self.result = None - - def initialize(self, scalars, points): - """Initialize the Pippenger algorithm. - - Args: - scalars: A list of integers, where each integer represents an Orignal - scalar from the trace. - points: A list of JAX arrays, where each array represents an Orignal point - from the trace. - """ - # Initial internal selection from the scalar - self.scalars = scalars - self.msm_length = len(scalars) - - # Convert high-precision points into a vector of low-precision chunks - self.points = [ - util.int_list_to_array_rns(coordinates) for coordinates in points - ] # pytype: disable=container-type-mismatch - - self.all_points = jnp.array(self.points).astype(jnp.uint16) - _, coordinate_dim, precision_dim = self.all_points.shape - - # For BA - selection_index_pylist = self.construct_ba_selection() - # Note: it contains uint(-1) for the bucket_0. - # In BA, it may cause some undefined behavior when do bucket selection - # it is correct now, because when setting buckets after the computation, - # jax.numpy will ignore the index with uint(-1) out of index. - self.selection_index_list = jnp.array(selection_index_pylist).astype( - jnp.uint32 - ) - _, window_dim = self.selection_index_list.shape - - # Batch construction - self.all_points = self.all_points.reshape( - (-1, self.point_parallel, coordinate_dim, precision_dim) - ).transpose(0, 2, 1, 3) - self.selection_index_list = self.selection_index_list.reshape( - (-1, window_dim * self.point_parallel) - ) - self.br_temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.NUM_MODULI, - ), - ) - self.window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.NUM_MODULI, - ), - ) - self.batch_window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.NUM_MODULI, - ), - ) - - def bucket_accumulation(self, bucket_accumulation_index_func): - """BA index selection version.""" - self.all_buckets = bucket_accumulation_index_func( - self.all_buckets, self.all_points, self.selection_index_list - ) - return self.all_buckets - - def bucket_reduction(self, bucket_reduction_func): - """Reduce the buckets to a single point for each window.""" - temp_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.NUM_MODULI, - ), - ) - window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.batch_window_num, - util.NUM_MODULI, - ), - ) - self.window_sum = bucket_reduction_func( - self.all_buckets, temp_sum, window_sum - ) - return self.window_sum - - def batch_window_summation(self, batch_window_summation_func): - """Sum the batch windows to form the final window sum.""" - batch_window_sum = jnp.broadcast_to( - self.blank_point, - ( - self.coordinate_num, - self.window_num, - util.NUM_MODULI, - ), - ) - self.window_sum = batch_window_summation_func( - batch_window_sum, self.window_sum - ) - return self.window_sum - - def window_merge(self, window_merge_func): - """Merge the windows to form the final elliptic curve.""" - self.result = window_merge_func(self.window_sum) - return self.result - - def construct_ba_selection(self): - selection_index_list = [] # Used for index selection - for scalar in self.scalars: - # Compute the zero states for each scalar by time dependence - selection_index = [] - for w in range(self.window_num): - slice_index = ( - (scalar >> (w * self.slice_length)) & self.slice_mask - ) - 1 - selection_index.append(slice_index) - selection_index_list.append(deepcopy(selection_index)) - return selection_index_list diff --git a/jaxite_ec/profiler.py b/jaxite_ec/profiler.py new file mode 100644 index 0000000..85713d7 --- /dev/null +++ b/jaxite_ec/profiler.py @@ -0,0 +1,1067 @@ +import csv +import gzip +import json +import os +import statistics +from typing import Any, Callable, Dict, List, Optional, Tuple, cast +import warnings +import jax +import jax.numpy as jnp +import pandas as pd + + +class DataFrameGenerator: + """A utility class for building pandas DataFrames from column data.""" + + def __init__(self): + """Initialize an empty DataFrameGenerator.""" + self.data: Dict[str, List[Any]] = {} + + def add_data(self, column_name: str, values: List[Any]) -> None: + """Add data to a specific column. + + Args: + column_name: Name of the column to add data to + values: List of values to add to the column + """ + if not isinstance(column_name, str): + raise ValueError("column_name must be a string") + if not isinstance(values, list): + raise ValueError("values must be a list") + + if column_name not in self.data: + self.data[column_name] = [] + self.data[column_name].extend(values) + + def add_single_value(self, column_name: str, value: Any) -> None: + """Add a single value to a specific column. + + Args: + column_name: Name of the column to add data to + value: Single value to add to the column + """ + self.add_data(column_name, [value]) + + def get_column_lengths(self) -> Dict[str, int]: + """Get the length of each column. + + Returns: + Dictionary mapping column names to their lengths + """ + return {col: len(values) for col, values in self.data.items()} + + def is_balanced(self) -> bool: + """Check if all columns have the same length. + + Returns: + True if all columns have the same length, False otherwise + """ + if not self.data: + return True + lengths = set(len(col) for col in self.data.values()) + return len(lengths) == 1 + + def to_dataframe(self, auto_balance: bool = True) -> pd.DataFrame: + """Convert the stored data to a pandas DataFrame. + + Args: + auto_balance: If True, automatically trim columns to the minimum length. + If False, raise an error if columns have different lengths. + + Returns: + pandas DataFrame with the stored data + + Raises: + ValueError: If auto_balance is False and columns have different lengths + """ + if not self.data: + return pd.DataFrame() + + if not auto_balance and not self.is_balanced(): + lengths = self.get_column_lengths() + raise ValueError(f"Columns have different lengths: {lengths}") + + # Find the minimum length among all columns + min_len = min(len(col) for col in self.data.values()) + + # Trim each column to the minimum length + trimmed_data = {k: v[:min_len] for k, v in self.data.items()} + + return pd.DataFrame(trimmed_data) + + def clear(self) -> None: + """Clear all stored data.""" + self.data.clear() + + def get_column_names(self) -> List[str]: + """Get the names of all columns. + + Returns: + List of column names + """ + return list(self.data.keys()) + + def has_column(self, column_name: str) -> bool: + """Check if a column exists. + + Args: + column_name: Name of the column to check + + Returns: + True if the column exists, False otherwise + """ + return column_name in self.data + + def merge(self, other_dataframe_generator: "DataFrameGenerator"): + """Merge the stored data with another DataFrameGenerator. + + Args: + other_dataframe_generator: Another DataFrameGenerator to merge with + + Returns: + Merged DataFrameGenerator + """ + if not isinstance(other_dataframe_generator, DataFrameGenerator): + raise ValueError("other_dataframe_generator must be a DataFrameGenerator") + # Check if this DataFrameGenerator is empty + if not self.data: + self.data = other_dataframe_generator.data + return + # Check if the other DataFrameGenerator has the same column names + if not set(self.get_column_names()) == set( + other_dataframe_generator.get_column_names() + ): + print("The two DataFrameGenerators have different column names") + return + # raise ValueError("The two DataFrameGenerators have different column names") + # Merge the data + for column_name in other_dataframe_generator.get_column_names(): + self.add_data(column_name, other_dataframe_generator.data[column_name]) + + def get_header(self) -> List[str]: + """Get the header of the DataFrameGenerator. + + Returns: + List of column names + """ + return list(self.data.keys()) + + def get_row_dict(self, index: int) -> Dict[str, Any]: + """Get a row of the DataFrameGenerator. + + Returns: + Dictionary of column names and values + """ + return { + column_name: self.data[column_name][index] + for column_name in self.get_column_names() + } + + +class TraceParser: + + def __init__(self, trace_dir: str): + self.trace_dir = trace_dir + + def set_trace_dir(self, new_dir: str): + """Set a new trace directory for the parser.""" + self.trace_dir = new_dir + + def find_trace_file(self): + """Recursively search for the latest .trace.json.gz file in the trace_dir. + + Returns the full path to the file, or None if not found. + """ + trace_files = [] + for root, _, files in os.walk(self.trace_dir): + for file in files: + if file.endswith(".trace.json.gz"): + trace_files.append(os.path.join(root, file)) + + if not trace_files: + return None + + # Return the most recently modified file + return max(trace_files, key=os.path.getmtime) + + def read_trace_json(self): + """Finds, unzips, and reads the JSON content from the trace file. + + Returns the loaded JSON object, or None if not found or error. + """ + trace_file = self.find_trace_file() + if trace_file is None: + print("No trace file found.") + return None + try: + with gzip.open(trace_file, "rt", encoding="utf-8") as f: + data = json.load(f) + return data + except Exception as e: + print(f"Error reading trace file: {e}") + return None + + def parse_trace_csv(self): + """Parses the trace CSV file and returns a list of trace events.""" + csv_file = os.path.join(self.trace_dir, "trace_events.csv") + + # Read the trace JSON data + trace_data = self.read_trace_json() + if trace_data is None: + print("Failed to read trace data") + return None + + # Extract trace events + trace_events = trace_data.get("traceEvents", []) + if not trace_events: + print("No trace events found in the data") + return None + + headers = ["pid", "tid", "ts", "dur", "ph", "name", "args"] + # Write to CSV directly + with open(csv_file, "w", newline="", encoding="utf-8") as f: + writer = csv.DictWriter(f, fieldnames=headers) + writer.writeheader() + for event in trace_events: + # Convert args dictionary to string if it exists + if "args" in event: + event["args"] = json.dumps(event["args"]) + else: + event["args"] = "" + + # Write the event + writer.writerow(event) + print(f"Trace events written to: {csv_file}") + + +def calculate_statistics(data: List[Any]) -> Dict[str, Any]: + """Calculate the statistics of the data. + + Args: + data: List of data + + Returns: + Dictionary containing the statistics + """ + mean_value = statistics.mean(data) + if len(data) == 1: + std_value = 0 + else: + std_value = statistics.stdev(data) + min_value = min(data) + max_value = max(data) + median_value = statistics.median(data) + return { + "mean": mean_value, + "std": std_value, + "min": min_value, + "max": max_value, + "median": median_value, + } + + +def analyze_trace_bottlenecks( + trace_folder: str, + top_k: int = 10, + device_pid: int = 3, +) -> List[Dict[str, Any]]: + """Analyze a single-iteration TPU trace and return the top-K bottleneck ops. + + Each returned entry contains the op name, duration, source file/line, + abbreviated source stack, HLO category, estimated FLOPs, and bytes + accessed — everything needed to identify where kernel time is spent + and which Python line produced the HLO op. + + Args: + trace_folder: Path to an iteration's trace folder (contains + ``plugins/profile//*.trace.json.gz``). + top_k: Number of top ops to return, sorted by duration descending. + device_pid: The ``pid`` of the target TPU device in the trace (default 3 = + ``/device:TPU:0``). + + Returns: + A list of dicts, each with keys: + ``name``, ``dur_us``, ``pct``, ``source``, ``source_stack``, + ``hlo_category``, ``model_flops``, ``bytes_accessed``. + """ + parser = TraceParser(trace_folder) + trace_json = parser.read_trace_json() + if trace_json is None: + return [] + events = trace_json.get("traceEvents", []) + + # Keep only device-level duration events for the target PID. + dev_events = [ + e + for e in events + if e.get("pid") == device_pid + and e.get("ph") == "X" + and e.get("dur") is not None + ] + if not dev_events: + return [] + + total_us = sum(e["dur"] for e in dev_events) + dev_events.sort(key=lambda e: -e["dur"]) + + results = [] + for e in dev_events[:top_k]: + args = e.get("args") or {} + source = args.get("source", "") + stack_raw = args.get("source_stack", "") + # Trim the stack to just the user-code frames (skip jax internals). + stack_lines = [] + if stack_raw: + for line in stack_raw.strip().split("\n"): + line = line.strip() + if not line: + continue + # Keep lines from the user's project; skip jax/site-packages. + if "site-packages" not in line: + stack_lines.append(line) + results.append({ + "name": e.get("name", ""), + "dur_us": e["dur"], + "pct": 100.0 * e["dur"] / total_us if total_us else 0, + "source": source, + "source_stack": stack_lines, + "hlo_category": args.get("hlo_category", ""), + "model_flops": args.get("model_flops", 0), + "bytes_accessed": args.get("bytes_accessed", 0), + }) + return results + + +def print_trace_bottlenecks( + trace_folder: str, + top_k: int = 10, + device_pid: int = 3, +) -> None: + """Pretty-print the top-K bottleneck ops from a single-iteration trace. + + Convenience wrapper around :func:`analyze_trace_bottlenecks`. + """ + bottlenecks = analyze_trace_bottlenecks(trace_folder, top_k, device_pid) + if not bottlenecks: + print(" (no device events found)") + return + print( + f" {'Rank':<5} {'Dur (ms)':>10} {'%':>6} {'Category':<12}" + f" {'Op Name':<40} {'Source'}" + ) + print(" " + "-" * 110) + for i, b in enumerate(bottlenecks): + print( + f" {i+1:<5} {b['dur_us']/1000:>10.2f} {b['pct']:>5.1f}%" + f" {b['hlo_category']:<12} {b['name'][:40]:<40} {b['source']}" + ) + if b["source_stack"]: + for frame in b["source_stack"][:3]: + print(f" {'':>24} ↳ {frame}") + + +def list_add(list1: List[Any], list2: List[Any]) -> List[Any]: + """Sum two lists element-wise. + + Args: + list1: First list to sum + list2: Second list to sum + + Returns: + List of the sum of the two lists + """ + assert len(list1) == len(list2), "The two lists must have the same length" + return [e1 + e2 for e1, e2 in zip(list1, list2)] + + +class KernelWrapperBase: + """Unified interface consumed by ``Profiler``. + + Subclasses expose a callable (``get_compiled_function``) plus the metadata + the profiler needs to feed and account for it. The profiler never branches + on the concrete wrapper type — it only calls methods defined here. + """ + + def __init__( + self, + kernel_name: str, + input_structs: List[Tuple[Tuple[int, ...], jnp.dtype]], + mesh: Optional[jax.sharding.Mesh] = None, + input_shardings: Optional[Tuple[jax.sharding.Sharding, ...]] = None, + output_sharding: Optional[jax.sharding.Sharding] = None, + enable_sharding: bool = False, + ): + self.kernel_name = kernel_name + self.input_structs = input_structs + self.mesh = mesh + self.input_shardings = input_shardings + self.output_sharding = output_sharding + self.enable_sharding = enable_sharding + self.callable_function_name = None + self.jit_function_name = None + + # ---- Profiler-facing unified API ---- + def get_compiled_function(self) -> Callable[..., jnp.ndarray]: + raise NotImplementedError + + def get_input_structs(self) -> List[Tuple[Tuple[int, ...], jnp.dtype]]: + return self.input_structs + + def get_kernel_name(self) -> str: + return self.kernel_name + + def get_input_arrays(self) -> Optional[List[jnp.ndarray]]: + """Return concrete inputs, or None to let Profiler fabricate random ones.""" + return None + + def shard_inputs(self, input_arrays: List[jnp.ndarray]) -> List[jnp.ndarray]: + if self.enable_sharding and self.input_shardings: + return [ + jax.device_put(arr, s) + for arr, s in zip(input_arrays, self.input_shardings) + ] + return input_arrays + + +class KernelWrapper(KernelWrapperBase): + + def __init__( + self, + kernel_name: str, + function_to_wrap: Callable, + input_structs: List[Tuple[Tuple[int, ...], jnp.dtype]], + mesh: Optional[jax.sharding.Mesh] = None, + input_shardings: Optional[Tuple[jax.sharding.Sharding, ...]] = None, + output_sharding: Optional[jax.sharding.Sharding] = None, + parameters: Optional[Dict[str, Any]] = {}, + enable_sharding: bool = False, + ): + super().__init__( + kernel_name=kernel_name, + input_structs=input_structs, + mesh=mesh, + input_shardings=input_shardings, + output_sharding=output_sharding, + enable_sharding=enable_sharding, + ) + self.callable_function = function_to_wrap + self.parameters = parameters + + self.jit_lower = None + self.jit_compiled_function = None + + # Compile immediately upon initialization + self._compile() + + def _compile(self): + jax_input_structs = [] + if self.enable_sharding and self.input_shardings: + for (shape, dtype), sharding in zip( + self.input_structs, self.input_shardings + ): + jax_input_structs.append( + jax.ShapeDtypeStruct(shape, dtype, sharding=sharding) + ) + else: + for shape, dtype in self.input_structs: + jax_input_structs.append(jax.ShapeDtypeStruct(shape, dtype)) + + # NOTE: Do not change the name of the function, it is used for profiling + if self.parameters: + + def compiled_kernel_function(*jax_array_inputs): + return self.callable_function( + *jax_array_inputs, parameters=self.parameters + ) + + else: + + def compiled_kernel_function(*jax_array_inputs): + return self.callable_function(*jax_array_inputs) + + if self.enable_sharding and self.mesh: + with self.mesh: + self.jit_lower = jax.jit( + jax.named_call(compiled_kernel_function, name=self.kernel_name), + in_shardings=self.input_shardings, + out_shardings=self.output_sharding, + ).lower(*jax_input_structs) + else: + self.jit_lower = jax.jit( + jax.named_call(compiled_kernel_function, name=self.kernel_name) + ).lower(*jax_input_structs) + + self.jit_compiled_function = self.jit_lower.compile() + + def get_compiled_function(self) -> Callable[..., jnp.ndarray]: + assert self.jit_compiled_function is not None, "Kernel not compiled" + if self.enable_sharding and self.mesh: + + def compiled_with_mesh(*jax_array_inputs): + if self.mesh is not None: + with self.mesh: + return self.jit_compiled_function(*jax_array_inputs) + return self.jit_compiled_function(*jax_array_inputs) + + return compiled_with_mesh + return self.jit_compiled_function + + +class PrecompiledKernelWrapper(KernelWrapperBase): + """Wrapper around an already-compiled/externally-managed callable. + + Unlike ``KernelWrapper``, this does NOT re-trace the function under + ``jax.jit``. Use it when the callable already dispatches to pre-compiled + executables or carries internal state that cannot be safely re-jitted + (e.g. a stateful context method like ``FusionMSMContext.multiscalar_multiply`` + which internally looks up pre-compiled, pre-sharded kernels). + + The wrapper also takes concrete input arrays directly — Profiler will use + them as-is instead of fabricating random inputs from shape/dtype, which is + essential when the inputs must match a specific layout (sharding, padding) + baked into the compiled kernel. + """ + + def __init__( + self, + kernel_name: str, + callable_function: Callable, + input_arrays: List[jnp.ndarray], + enable_sharding: bool = False, + callable_function_name: Optional[str] = None, + ): + input_arrays = list(input_arrays) + super().__init__( + kernel_name=kernel_name, + input_structs=[(a.shape, a.dtype) for a in input_arrays], + enable_sharding=enable_sharding, + ) + self.callable_function = callable_function + self._input_arrays = input_arrays + self.callable_function_name = callable_function_name + self.jit_function_name = ( + f"jit_{callable_function_name}" if callable_function_name else None + ) + + def get_compiled_function(self) -> Callable[..., jnp.ndarray]: + return self.callable_function + + def get_input_arrays(self) -> List[jnp.ndarray]: + """Concrete inputs preserved as-is (sharding, layout, device placement).""" + return self._input_arrays + + def shard_inputs(self, input_arrays: List[jnp.ndarray]) -> List[jnp.ndarray]: + # Inputs were provided pre-placed; nothing to do. + return input_arrays + + +class Profiler: + + def __init__( + self, + output_trace_path: str, + profile_naming: str, + configuration: Optional[Dict[str, Any]] = None, + ): + self.trace_dir = output_trace_path + self.profiler_name = profile_naming + self.profile_dir = os.path.join(self.trace_dir, self.profiler_name) + if not os.path.exists(self.profile_dir): + os.makedirs(self.profile_dir) + + self.configuration = configuration or {} + self.random_seed = self.configuration.get("random_seed", 0) + self.iterations = self.configuration.get("iterations", 1) + self.save_to_file = self.configuration.get("save_to_file", True) + self.enable_sharding = self.configuration.get("enable_sharding", False) + + self.profiles: List[Dict[str, Any]] = [] + self.profile_name_list: List[str] = [] + + # Storage for results + self.storage_file = os.path.join( + self.profile_dir, f"{self.profiler_name}_results.csv" + ) + + def add_profile( + self, + name: str, + kernel_wrapper: "KernelWrapperBase", + kernel_setting_cols: Optional[Dict[str, Any]] = None, + ): + if kernel_setting_cols is None: + kernel_setting_cols = {} + if name in self.profile_name_list: + raise ValueError(f"Profiler name {name} already exists") + + self.profile_name_list.append(name) + + profile_folder = os.path.join(self.profile_dir, name) + if not os.path.exists(profile_folder): + os.makedirs(profile_folder) + + self.profiles.append({ + "name": name, + "wrapper": kernel_wrapper, + "settings": kernel_setting_cols, + "folder": profile_folder, + "failed": False, + "trace_events": None, + "filtered_events": None, + "stats": None, + }) + + def _get_input_arrays(self, kernel_wrapper: "KernelWrapperBase"): + # If the wrapper carries concrete inputs (e.g. pre-sharded, pre-padded + # arrays bound to an already-compiled kernel), use them verbatim. + provided = kernel_wrapper.get_input_arrays() + if provided is not None: + for arr in provided: + arr.block_until_ready() + return provided + + def get_max_value(dtype): + if dtype == jnp.uint8: + return 128 + elif dtype == jnp.uint16: + return 32768 + elif dtype == jnp.uint32: + return 4294967295 + elif dtype == jnp.uint64: + return 4294967295 + raise ValueError(f"Unsupported dtype: {dtype}") + + random_key = jax.random.key(self.random_seed) + input_arrays = [] + for shape, dtype in kernel_wrapper.get_input_structs(): + if jnp.issubdtype(dtype, jnp.floating): + input_arrays.append(jax.random.uniform(random_key, shape, dtype)) + elif jnp.issubdtype(dtype, jnp.integer): + input_arrays.append( + jax.random.randint( + random_key, shape, 0, get_max_value(dtype), dtype + ) + ) + elif jnp.issubdtype(dtype, jnp.bool_): + input_arrays.append(jax.random.bernoulli(random_key, 0.5, shape=shape)) + else: + raise ValueError(f"Unsupported dtype: {dtype}") + for input_array in input_arrays: + input_array.block_until_ready() + + if self.enable_sharding: + input_arrays = kernel_wrapper.shard_inputs(input_arrays) + + return input_arrays + + def profile_all_profilers(self): + for profile in self.profiles: + print(f"Profiling {profile['name']}") + try: + # Kernel wrapper is already compiled in its init + wrapper = cast(KernelWrapperBase, profile["wrapper"]) + compiled_function = wrapper.get_compiled_function() + input_arrays = self._get_input_arrays(wrapper) + + # Run each iteration in its own trace window so that the TPU + # trace buffer is not shared across iterations to avoid buffer + # overflow problem for kernel with long running time. + iter_folders = [] + for i in range(self.iterations): + iter_folder = os.path.join(profile["folder"], f"iter_{i}") + os.makedirs(iter_folder, exist_ok=True) + with jax.profiler.trace(iter_folder): + compiled_function(*input_arrays).block_until_ready() + iter_folders.append(iter_folder) + profile["iter_folders"] = iter_folders + except Exception as e: + print(f"Error profiling {profile['name']}:\n {e}") + profile["failed"] = True + + def _parse_json_trace(self, profile): + # With per-iteration trace windows, merge trace events from all + # iteration sub-folders into one combined list. + iter_folders = profile.get("iter_folders", []) + if iter_folders: + all_trace_events = [] + trace_file_path = None + for folder in iter_folders: + parser = TraceParser(folder) + tfp = parser.find_trace_file() + if tfp is None: + continue + if trace_file_path is None: + trace_file_path = tfp + pjson = parser.read_trace_json() + if pjson is not None: + all_trace_events.extend(pjson.get("traceEvents", [])) + trace_events = all_trace_events + else: + # Legacy path: single trace folder. + trace_parser = TraceParser(profile["folder"]) + trace_file_path = trace_parser.find_trace_file() + profile_json = trace_parser.read_trace_json() + if profile_json is None: + warnings.warn( + f"{profile['name']}: No trace events found in the data", UserWarning + ) + profile["failed"] = True + return None + trace_events = profile_json.get("traceEvents", []) + + if not trace_events: + warnings.warn( + f"{profile['name']}: No trace events found in the data", UserWarning + ) + profile["failed"] = True + return None + if self.save_to_file: + # Save into the same folder as the raw trace file + output_dir = os.path.dirname(trace_file_path) + profile["output_folder"] = output_dir + with open(os.path.join(output_dir, "trace_events.json"), "w") as f: + json.dump(trace_events, f, indent=2) + profile["trace_events"] = trace_events + return trace_events + + def _filter_trace_events(self, profile): + trace_events = profile["trace_events"] + if trace_events is None: + return None + + def merge_filtered_events_by_name(filtered_events): + grouped = {} + for event in filtered_events: + event_name = event.get("name", "unknown") + if ( + "args" in event.keys() + and "deduplicated_name" in event["args"].keys() + ): + event_name += "_" + event["args"]["deduplicated_name"] + elif ( + "custom-call" in event["name"] + and "args" in event.keys() + and "tf_op" in event["args"].keys() + ): + event_name += "_" + event["args"]["tf_op"] + if event_name not in grouped: + grouped[event_name] = [] + grouped[event_name].append(event) + + merged_filtered_events = {} + for event_name, events in grouped.items(): + merged = events[0].copy() + merged["dur"] = [e.get("dur") for e in events if "dur" in e] + merged["ts"] = [e.get("ts") for e in events if "ts" in e] + merged["repeat_count"] = len(events) + merged_filtered_events[event_name] = merged + return merged_filtered_events + + filtered_events_list = [] + # Check if NVIDIA is in device kind OR CPU is used as a fallback if + # explicit check needed + # But generally JAX trace events differ by backend. + # Assuming typical CPU/GPU separation. + device_kind = jax.devices()[0].device_kind + + if "NVIDIA" in device_kind: + for e in trace_events: + if "args" in e and "tf_op" in e["args"]: + # Loosen the check for compiled_kernel_function as it might be nested differently or named differently + if "compiled_kernel_function" in e["args"].get( + "hlo_module", "" + ) or "compiled_kernel_function" in e["args"].get("long_name", ""): + merged_event = False + # Try to merge with existing events + for f in filtered_events_list: + # Check if correlation_id exists before accessing it + if ( + "correlation_id" in f["args"] + and "correlation_id" in e["args"] + and f["args"]["correlation_id"] == e["args"]["correlation_id"] + and f["name"] == e["name"] + ): + f["dur"] = f["dur"] + e["dur"] + merged_event = True + if not merged_event: + filtered_events_list.append(e) + profile["filtered_events"] = merge_filtered_events_by_name( + filtered_events_list + ) + + elif "TPU" in device_kind: + wrapper = cast(KernelWrapperBase, profile["wrapper"]) + jit_function_name = wrapper.jit_function_name + for event in trace_events: + if ( + "pid" not in event.keys() or event["pid"] != 3 + ): # ToDo: change it into automatic PID detection based on "TPU:0". + continue + if ( + "name" in event.keys() + and "compiled_kernel_function" in event["name"] + and "args" in event.keys() + ): + filtered_events_list.append(event) + elif ( + "name" in event.keys() + and jit_function_name is not None + and jit_function_name in event["name"] + ): + # print(f"Found jit function name {jit_function_name} in event {event['name']}") + filtered_events_list.append(event) + elif "args" in event.keys() and "long_name" in event["args"].keys(): + filtered_events_list.append(event) + else: + continue + profile["filtered_events"] = merge_filtered_events_by_name( + filtered_events_list + ) + else: + # Fallback for CPU or other devices + # CPU traces might be different. Let's try to capture events related to our kernel. + for event in trace_events: + if "name" in event and "compiled_kernel_function" in event["name"]: + filtered_events_list.append(event) + profile["filtered_events"] = merge_filtered_events_by_name( + filtered_events_list + ) + + # Always save filtered events if we have any + if self.save_to_file: + # Make sure we don't crash if profile['filtered_events'] is None + events_to_dump = ( + profile["filtered_events"] + if profile["filtered_events"] is not None + else {} + ) + with open( + os.path.join(profile["output_folder"], "filtered_events.json"), "w" + ) as f: + json.dump(events_to_dump, f, indent=2) + + def _calculate_profiling_statistics(self, profile): + if profile["filtered_events"] is None: + return + + repeat_count = self.iterations + kernel_duration = [0] * repeat_count + + device_kind = jax.devices()[0].device_kind + + if "NVIDIA" in device_kind: + filtered_events = cast(Dict[str, Any], profile["filtered_events"]) + for event in filtered_events.values(): + if "compiled_kernel_function" in event["args"].get("hlo_module", ""): + durations = event["dur"] + if not isinstance(durations, list): + durations = [durations] + + if len(durations) == repeat_count: + kernel_duration = list_add(kernel_duration, durations) + elif ( + len(durations) > repeat_count + and len(durations) % repeat_count == 0 + ): + # Assume sequential execution of kernels within one iteration + chunk_size = len(durations) // repeat_count + aggregated_durations = [ + sum(durations[i * chunk_size : (i + 1) * chunk_size]) + for i in range(repeat_count) + ] + kernel_duration = list_add(kernel_duration, aggregated_durations) + else: + # Fallback: just take first N or handle mismatch. + # For now, adopting CPU strategy of taking first N but this is likely under-reporting. + # Ideally log a warning. + kernel_duration = list_add( + kernel_duration, durations[:repeat_count] + ) + elif "TPU" in device_kind: + wrapper = cast(KernelWrapperBase, profile["wrapper"]) + jit_function_name = wrapper.jit_function_name + filtered_events = cast(Dict[str, Any], profile["filtered_events"]) + for event in filtered_events.values(): + matches = "compiled_kernel_function" in event["name"] or ( + jit_function_name is not None and jit_function_name in event["name"] + ) + if not matches: + continue + durations = event["dur"] + if not isinstance(durations, list): + durations = [durations] + # At larger problem sizes XLA can coalesce per-device event replays + # unevenly, producing either a multiple of ``repeat_count`` (one + # kernel invocation expanded into several sub-events per iteration) + # or fewer samples than ``repeat_count`` (some replays elided). + # Mirror the NVIDIA branch's bucket-and-fallback logic instead of + # blindly zip-adding, which used to assert out and abort the + # post-processing before the CSV was written. + if len(durations) == repeat_count: + kernel_duration = list_add(kernel_duration, durations) + elif ( + len(durations) > repeat_count and len(durations) % repeat_count == 0 + ): + chunk_size = len(durations) // repeat_count + aggregated = [ + sum(durations[i * chunk_size : (i + 1) * chunk_size]) + for i in range(repeat_count) + ] + kernel_duration = list_add(kernel_duration, aggregated) + elif len(durations) < repeat_count: + padded = durations + [0] * (repeat_count - len(durations)) + kernel_duration = list_add(kernel_duration, padded) + else: + kernel_duration = list_add(kernel_duration, durations[:repeat_count]) + else: + # CPU logic - assuming direct name match from filtered events + filtered_events = cast(Dict[str, Any], profile["filtered_events"]) + for event in filtered_events.values(): + # On CPU, events might be simpler + if "compiled_kernel_function" in event.get("name", ""): + # DUR might be a single value or list depending on how it was merged + durations = event["dur"] + if not isinstance(durations, list): + durations = [durations] + + # If we have less durations than repeat_count, we might need to pad + # or it's a mismatch + # For now, let's just add what we have, assuming 1-to-1 or aggregated + if len(durations) == repeat_count: + kernel_duration = list_add(kernel_duration, durations) + elif len(durations) > repeat_count: + # Take first N + kernel_duration = list_add( + kernel_duration, durations[:repeat_count] + ) + else: + # Append 0s? Or just take what we have + padded = durations + [0] * (repeat_count - len(durations)) + kernel_duration = list_add(kernel_duration, padded) + + profile["stats"] = { + "kernel_all": kernel_duration, + } + + def post_process_all_profilers(self): + """Post-process trace events and calculate statistics for all profiles.""" + for profile in self.profiles: + if profile["failed"]: + continue + + events = self._parse_json_trace(profile) + if events is None: + continue + + self._filter_trace_events(profile) + self._calculate_profiling_statistics(profile) + + self.write_results() + + def get_profiling_dataframe_generator_all_profilers(self): + df_generator = DataFrameGenerator() + for profile in self.profiles: + if profile["failed"] or profile["stats"] is None: + continue + + p_df_gen = DataFrameGenerator() + p_df_gen.add_single_value( + "operation_name", profile["wrapper"].get_kernel_name() + ) + + for key, value in profile["settings"].items(): + p_df_gen.add_single_value(key, value) + + all_kernel_duration = profile["stats"]["kernel_all"] + for i, duration in enumerate(all_kernel_duration): + p_df_gen.add_single_value(f"sample_{i}", duration) + + df_generator.merge(p_df_gen) + return df_generator + + def write_results(self): + """Write profiling results to a CSV file and print to stdout.""" + storage_dataframe_generator = ( + self.get_profiling_dataframe_generator_all_profilers() + ) + # Check if file exists to determine if we need to write header + file_exists = os.path.exists(self.storage_file) + mode = "a" if file_exists else "w" + header = not file_exists + storage_dataframe_generator.to_dataframe().to_csv( + self.storage_file, mode=mode, header=header, index=False + ) + print( + storage_dataframe_generator.to_dataframe().to_csv() + ) # Need to see the content of the file in terminal as Google does not have file system + print(f"Results written to: {self.storage_file}") + + +def collect_logs(root_dir=".", output_csv_name="all_logs_collected"): + """Collects all CSV files found under directories named 'log' + + and aggregates them into a single CSV file. + Handles varying headers by taking the union of all found columns. + """ + all_files = [] + + # Fieldnames set to collect all unique columns + all_fieldnames = set() + # To preserve some order, we can use a list and add new ones as we see them + ordered_fieldnames = [] + + # First pass: identify files and collect all possible fieldnames + for dirpath, dirnames, filenames in os.walk(root_dir): + path_parts = dirpath.split(os.sep) + if "log" in path_parts: + for file in filenames: + if file.endswith(".csv"): + full_path = os.path.join(dirpath, file) + all_files.append(full_path) + try: + with open(full_path, "r", newline="") as csvfile: + reader = csv.reader(csvfile) + try: + header = next(reader) + for h in header: + if h not in all_fieldnames: + all_fieldnames.add(h) + ordered_fieldnames.append(h) + except StopIteration: + # Empty file + pass + except Exception as e: + print(f"Error reading header of {full_path}: {e}") + + if not all_files: + print("No CSV files found.") + return + + print(f"Found {len(all_files)} CSV files.") + print(f"Unified collected columns: {ordered_fieldnames}") + + output_file = os.path.join(root_dir, f"{output_csv_name}.csv") + total_rows = 0 + + try: + with open(output_file, "w", newline="") as csvfile: + writer = csv.DictWriter(csvfile, fieldnames=ordered_fieldnames) + writer.writeheader() + + for full_path in all_files: + try: + with open(full_path, "r", newline="") as infile: + reader = csv.DictReader(infile) + # The DictReader uses the file's own header mapping + # We just iterate and write to the master dict writer + for row in reader: + writer.writerow(row) + total_rows += 1 + except Exception as e: + print(f"Error processing {full_path}: {e}") + + print(f"Saved aggregated logs to {os.path.abspath(output_file)}") + print(f"Total rows collected: {total_rows}") + + except Exception as e: + print(f"Error writing output file: {e}") diff --git a/jaxite_ec/test_case/t1/zprize_msm_curve_377_bases_dim_1_seed_0.csv b/jaxite_ec/test_case/t1/zprize_msm_curve_377_bases_dim_1_seed_0.csv deleted file mode 100644 index 9ee1257..0000000 --- a/jaxite_ec/test_case/t1/zprize_msm_curve_377_bases_dim_1_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -0, x, 004cd4683316487f, b89b952325a20f91, 293cd479875ceb77, 2af0a9c29bacf6f9, f8673c91ec915534, aff8c262353486d7, zz: Fp384 "(003F62945CE627D1ECB0F654CD9E80F82DC0E62E484AE9CED02FC5DC5658CD2D6C3AB04E97AD20BD970B5C7E2178709C)", y, 00aa7ad6de759cb7, 270923c09134b2c6, 7f88b0b899bceace, 22071c8c7a09df51, 7f08b237fda96e55, b4d65d75663afe99, zz: Fp384 "(016113C0C182762A49721F7EAF286AFD6B0FA13DD9CE68CE5119C574EDF947D9AEBF6D36C26C3C208AB518E3079AC6FA)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t1/zprize_msm_curve_377_res_dim_1_seed_0.csv b/jaxite_ec/test_case/t1/zprize_msm_curve_377_res_dim_1_seed_0.csv deleted file mode 100644 index 80821f2..0000000 --- a/jaxite_ec/test_case/t1/zprize_msm_curve_377_res_dim_1_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -x, 009976f628cc7c42, d55f93b8c7dfbc61, 86a374e1e5a2fafb, a3e0ba0828a88f69, 9f20ac113f371d74, 77a360edb4c28207, zz: Fp384 "(0134A9468957E7FDC88CF9D69A4E7B3AE93432AE7FFFE93F6BE4F6F287BCA1880E185D98E304467DEC0709D9F7BC7AF0)", y, 01a7e5e4f8816331, 28dcee5c74675219, e54fd183a73529c5, 776dbcf5725a252e, 39fdb795acda186b, 0eadea2601fc454d, zz: Fp384 "(004A4A15E00C14B99875584249FCAF18B0AAA567BF67863D6DCF47CDC39A227154C3369DF6D9A63EECDB3BAA19FD2B58)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t1/zprize_msm_curve_377_scalars_dim_1_seed_0.csv b/jaxite_ec/test_case/t1/zprize_msm_curve_377_scalars_dim_1_seed_0.csv deleted file mode 100644 index 73ac78f..0000000 --- a/jaxite_ec/test_case/t1/zprize_msm_curve_377_scalars_dim_1_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -0, 0f923fffd2a6f534, dc5b6a6901840fc0, fb65827e6efd22a8, 063cded681f5f7b2, zz: Fp256 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"(01546AF2ABB4E189E9BBC412FDBF2A8E5EC6E4A3B0AF132E21EE9CEC3EF5E226490FB98D662670FA3CFB3948B7E2A48C)", y, 012e6fd70da14f01, 3841e339306efa6e, c845ceff3aa42d46, 5d869b1205ec884c, 77718567b7535dd9, 1bc1fdfd9ce464a3, zz: Fp384 "(002961A558A885DF227FDB09F8BDF57AF179CB9437FF8828F13E9DF01AE55502F409AAF5058B88F2F7CCC7BC0676A5D4)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t2/zprize_msm_curve_377_res_dim_2_seed_0.csv b/jaxite_ec/test_case/t2/zprize_msm_curve_377_res_dim_2_seed_0.csv deleted file mode 100644 index b28b820..0000000 --- a/jaxite_ec/test_case/t2/zprize_msm_curve_377_res_dim_2_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -x, 001ba77010560355, d4a083cd44ea3b27, 47e444e832f177a9, e5a2cc6f64868bf3, 34875bb04ff9a153, 29a12ab6ca346603, zz: Fp384 "(001E9324B117F5E1E1EA2D63635906F087DD18C9C3840E28CD24FD6960DC4BAC7659B648FA29E89DA0DCDA4B9677254F)", y, 0038529273debc84, 567b59a70a96e53f, f2421d1eeaa395eb, e3d065d79346fc9b, 20a9f718531bd65d, 29662f4a78afce5d, zz: Fp384 "(010FDD33E114E8A119E7855FC6E457A0B2F1FC0436076E9557302DD86CD11EF6148721B9E4E63A01693378E985496444)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t2/zprize_msm_curve_377_scalars_dim_2_seed_0.csv b/jaxite_ec/test_case/t2/zprize_msm_curve_377_scalars_dim_2_seed_0.csv deleted file mode 100644 index f6344a1..0000000 --- a/jaxite_ec/test_case/t2/zprize_msm_curve_377_scalars_dim_2_seed_0.csv +++ /dev/null @@ -1,2 +0,0 @@ -0, 0f923fffd2a6f534, dc5b6a6901840fc0, fb65827e6efd22a8, 063cded681f5f7b2, zz: Fp256 "(11057EEFA14A393F5EBD62FD9747A76B77CDFC90E07F0BC6D8C87440D758452D)" -1, 002e9d0d87c0a600, 1c9a1f731ec9a8d0, 3ca0557886321ce6, e5716b57188ca258, zz: Fp256 "(0C736B82B849EB8E4D8F81136A30803766F90E66AB059D12A6EDD2577E605788)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t4/zprize_msm_curve_377_bases_dim_4_seed_0.csv b/jaxite_ec/test_case/t4/zprize_msm_curve_377_bases_dim_4_seed_0.csv deleted file mode 100644 index 8896d35..0000000 --- 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b/jaxite_ec/test_case/t4/zprize_msm_curve_377_res_dim_4_seed_0.csv deleted file mode 100644 index ce32abf..0000000 --- a/jaxite_ec/test_case/t4/zprize_msm_curve_377_res_dim_4_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -x, 014d7f8695379436, 16965d5ab3d91b3a, be23f9940b3b2857, 6924eb4496b95388, 2d22b77f18c3d89e, 2feb08e40a36bb91, zz: Fp384 "(0105E8EEFA0C3DE4D1E65A63489065FB0F8C66F1CBFF2422FE246E3CD1443DC699711B81B7790B7653547310240B2AF0)", y, 015845f50dda6c32, 87e7e0cbd525e428, ea1cd4b49a411788, eb7226604c36c531, d4d3a8e5c5d6d925, 0906ee99df45c728, zz: Fp384 "(00D7A61C6E85442A8DE1B4B14D18BD07FDC08AEFD9C71CAD928D404B6FD3F5C347057AE82ED6581F71EBF6407A1E07EE)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv b/jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv deleted file mode 100644 index 8b24b20..0000000 --- a/jaxite_ec/test_case/t4/zprize_msm_curve_377_scalars_dim_4_seed_0.csv +++ /dev/null @@ -1,4 +0,0 @@ -0, 0f923fffd2a6f534, dc5b6a6901840fc0, fb65827e6efd22a8, 063cded681f5f7b2, zz: Fp256 "(11057EEFA14A393F5EBD62FD9747A76B77CDFC90E07F0BC6D8C87440D758452D)" -1, 002e9d0d87c0a600, 1c9a1f731ec9a8d0, 3ca0557886321ce6, e5716b57188ca258, zz: Fp256 "(0C736B82B849EB8E4D8F81136A30803766F90E66AB059D12A6EDD2577E605788)" -2, 0e09b93519940300, 0a4867513ba6edb7, 530cce8b6a69232d, 0ecdd08a922d30e3, zz: Fp256 "(0738C6A142F9D317BFD26C26E9629C54E3E28C0CD3B100A6311C83A0BA678390)" -3, 0a85273b8e6bb8ed, dc0d90c24a4f5c72, 0f57216e312a2f32, 6ef1359bfc3df47f, zz: Fp256 "(04C4AFFA315644F295F99B40E9A87D32380603D675FBA350A0BB852DFEFE7878)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t8/zprize_msm_curve_377_bases_dim_8_seed_0.csv b/jaxite_ec/test_case/t8/zprize_msm_curve_377_bases_dim_8_seed_0.csv deleted file mode 100644 index a2a3b4e..0000000 --- a/jaxite_ec/test_case/t8/zprize_msm_curve_377_bases_dim_8_seed_0.csv +++ /dev/null @@ -1,8 +0,0 @@ -0, x, 018df51d28d7bb33, 12125d3dc2345560, 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"(00099F98BF058B8521588A6D521FF5D95F0A4E6EC9D9F0658FD513BC654C8E2DA2475CA572C5FA1C90EC09D4A3ACC452)", y, 00497ee9a51a8c00, 2e6865603a44a22c, f36f2ee7608b7ebf, 7211ab8e2046edbc, 00c91718b1a340d2, a5086213363a7ff9, zz: Fp384 "(00E8AA0A224C09333B12378C512414EAD8439E8F15F520096F97B3BD45BDCFE06D67E2E881F5AD575D9AAF49A0C6B7A4)" -3, x, 003c2546fd254a90, 0a3e18aab430f4ad, dad00063a6701bac, e9b3c577880ecf51, c9fbb89016ce87fe, b125886dfaa66b55, zz: Fp384 "(0164DDDBF27670CE389E2992C0E7DAB7741F1B925EDBDC254D2BC0830BAF8E0B186F80F0DD4DE0F0EA6176E55934D45B)", y, 0087161d71559880, 7f6dbe70a20e787d, 996d9a6282b303bc, 66e92f1cbb9bd9f9, e3b3bb47a7de8d87, 2fbb78e7edf485df, zz: Fp384 "(01908E9D77A0F8AD89AC41441F74248704E756BC59C38920617F51BFCDB738EE5B123876D489D09C9EB904A321A336EC)" -4, x, 00373631a6b80a93, b33760134d4de6be, 56ed27d5df9baba3, 755b753d0162f9b8, 1ba8a82579296bdb, 9aafe4d1b780ac70, zz: Fp384 "(0066CB93F6DBF96A94EBD6874DBD7B0E51D67A924C5AB5F96C2A45AF5EC75EA093843107E2EB1A45D645310AC3984B24)", y, 00a5af9f753d8472, b96fcf742d8981cd, 792ff8a32fab8a6a, 41d6fc8217f9f9ef, cf392541d749bf16, ef7345fe8183a959, zz: Fp384 "(0192AF6092F295756DDEDB7A77E7DB52B9FFCCB9D00EB6B61ED0E9E6B795484287CD9DFADD3B30784390941F86BD0FC2)" -5, x, 00ea9dc132d85e66, 87fda87d39f0499a, 17b4277d88cdbd0a, 27b8b9dcfea6be53, 34c23351b99f097d, b3cf7ac7ffd6ed2f, zz: Fp384 "(0084801FF559F4882F1180089D4FC1C81A0017932824F2ADAB09956C79AEF5219AAC66D806A086C838DB2424E67B1039)", y, 011f02cfd6c5d920, b577b59e650d501d, 66326514f4c44ebf, 7fc342da9c7ae7b6, 30325f5017e975e8, cbbf2d840d9c64e5, zz: Fp384 "(009B77B4C386398F4CB40B86E74BF5B310ADDC286678166AB660FDEB4A0FD5F1DD080FDB4EE3D8BC4553F5FA529A74DD)" -6, x, 019f02ca76047ec7, dc062d90f205d06c, 7dfbdc07f954e9d7, 85c4a3e6845721a1, 30f1080faa1484d8, 493b00c9cd7be16e, zz: Fp384 "(00B0630E7F192D20443A93860275447074CE77DF559907FA1900F378D4674649BF25F85C893E2A1916B1DA57594F2E17)", y, 006b2c62488dc2ba, 833a6b9f0c8f808b, 98c825e9e1583848, fc8b9db4aeb70f49, e5840cf05def3735, 88f30a7a997ca239, zz: Fp384 "(01ACC84F362CF60A265C011F0FE4360A15F51BECF7E2C3923FE07C66D5D113104B56E8486C64204A2A9ECD75BA0C41A7)" -7, x, 0048c29459872078, eb2d1fcf4a139b51, 67da2ccdbaa8f2e3, 2a03ceed817240a7, fe43123affec9af4, c8486205c2ebdfba, zz: Fp384 "(018C09BCC580517E8C93CECCA83E200690FD66AD94DE753023401E3E337938715885C26FC631FF1833618D053E0872B0)", y, 00dbef2406460af5, 382cc49017f942af, 4a56c1a953eedf43, a1aaaa31c829cfd3, 96d012bb8bedbcc2, b31c1ced77585736, zz: Fp384 "(011080F0E32525EBB7F919B908C9F6F7B20E5B46A8CAEF059CE14E0739C9F164570264F91ECA4DE80E45520ED61B881C)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t8/zprize_msm_curve_377_res_dim_8_seed_0.csv b/jaxite_ec/test_case/t8/zprize_msm_curve_377_res_dim_8_seed_0.csv deleted file mode 100644 index dc0e754..0000000 --- a/jaxite_ec/test_case/t8/zprize_msm_curve_377_res_dim_8_seed_0.csv +++ /dev/null @@ -1 +0,0 @@ -x, 000e569ef8591fd6, 6cfc4f3224e47b68, bc4e8df117d07814, 160ba23f3fcab777, b1fc73a8395568c4, d21d407e354f8f52, zz: Fp384 "(008BFE20A05721F86AFEAEB8A94FCE08847074F2F555A3281E72545045976C72B33A10C9E62EC748C87087274D63ED22)", y, 00a952354041686e, dd824e49cb9926ab, 1d6a3f89b5ddb42d, a64339e196f523d8, 1ecff81311076324, 7ec7773b01f43018, zz: Fp384 "(01803103D87B815018D87204D4AC96B3BD49DC467802B7C8B7E6FC7E1FE0B20443DA072921D521F7B8BA7823C8B76048)" \ No newline at end of file diff --git a/jaxite_ec/test_case/t8/zprize_msm_curve_377_scalars_dim_8_seed_0.csv b/jaxite_ec/test_case/t8/zprize_msm_curve_377_scalars_dim_8_seed_0.csv deleted file mode 100644 index 19f34d8..0000000 --- a/jaxite_ec/test_case/t8/zprize_msm_curve_377_scalars_dim_8_seed_0.csv +++ /dev/null @@ -1,8 +0,0 @@ -0, 0f923fffd2a6f534, dc5b6a6901840fc0, fb65827e6efd22a8, 063cded681f5f7b2, zz: Fp256 "(11057EEFA14A393F5EBD62FD9747A76B77CDFC90E07F0BC6D8C87440D758452D)" -1, 002e9d0d87c0a600, 1c9a1f731ec9a8d0, 3ca0557886321ce6, e5716b57188ca258, zz: Fp256 "(0C736B82B849EB8E4D8F81136A30803766F90E66AB059D12A6EDD2577E605788)" -2, 0e09b93519940300, 0a4867513ba6edb7, 530cce8b6a69232d, 0ecdd08a922d30e3, zz: Fp256 "(0738C6A142F9D317BFD26C26E9629C54E3E28C0CD3B100A6311C83A0BA678390)" -3, 0a85273b8e6bb8ed, dc0d90c24a4f5c72, 0f57216e312a2f32, 6ef1359bfc3df47f, zz: Fp256 "(04C4AFFA315644F295F99B40E9A87D32380603D675FBA350A0BB852DFEFE7878)" -4, 0ed8f6c7a5b1a650, 031ebc9b7a93492e, 89f282d49e7d2560, 7a5693b3d8ae2e87, zz: Fp256 "(0D19ECF1BAF67C8B31F01A16F3EA15BDF78812F5A00857F90C61C66F3445F9EC)" -5, 09014a7226acc95a, 4835d93dae8844b6, cda8ebe010d04060, bce87d13ab77d2f7, zz: Fp256 "(0136D026DE3C43F05C8035F0932506241268E9FA45095A2FA17C72C6FD1076C6)" -6, 0d40d252d29285e5, b39c381c97f2caed, 963b0d72b9280ba1, ee92ff87524aa9f5, zz: Fp256 "(05963104A4318BC9978D3B7746B2D8E3E9E36DC4CB751A4406B76D04BD4C3DB8)" -7, 060bae0e7184f261, 1e89f2311ccfb076, 9149396b939c46ae, 4a5c432085813bb4, zz: Fp256 "(0215F60E325265030BA4B084E9C465B1A22969C73E357B37F215AA734C66D6FA)" \ No newline at end of file diff --git a/jaxite_ec/util.py b/jaxite_ec/util.py deleted file mode 100644 index 17afce2..0000000 --- a/jaxite_ec/util.py +++ /dev/null @@ -1,628 +0,0 @@ -"""Utility functions for jaxite_ec. - -Note that: All functions that directly take Python int as input cannot be -jitted. -""" - -import csv -import json -import math -from typing import Any, Callable, List, Tuple - -import jax -import jax.numpy as jnp -import numpy as np - -# copybara: from google3.perftools.accelerators.xprof.api.python import xprof_analysis_client -# copybara: from google3.perftools.accelerators.xprof.api.python import xprof_session - -gcd = math.gcd - - -#################################### -# BLS12-377 Curve Configurations -#################################### - -MODULUS_377_INT = 0x01AE3A4617C510EAC63B05C06CA1493B1A22D9F300F5138F1EF3622FBA094800170B5D44300000008508C00000000001 -MU_377_INT = 0x98542343310183A5DB0F28160BBD3DCEEEB43799DDAC681ABCB52236169B40B43B5A1DE2710A9647E7F56317936BFF32 -TWIST_D_INT = 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 - - -#################################### -# Global Configurations -#################################### - -BASE = 16 -BASE_TYPE = jnp.uint16 # this type must match the BASE, i.e. jnp.uint -U16_MASK = 0xFFFF -U32_MASK = 0xFFFFFFFF - -U8_CHUNK_NUM = 48 -U16_CHUNK_NUM = 24 -U32_CHUNK_NUM = 12 -U16_CHUNK_SHIFT_BITS = 16 -U32_CHUNK_SHIFT_BITS = 32 - -U16_EXT_CHUNK_NUM = 25 - - -BARRETT_SHIFT_U8 = 95 # BARRETT Params for k = 380 -CHUNK_PRECISION = 8 - -# Lazy Reduction Logics -MODULUS_377_S16_INT = MODULUS_377_INT << 16 - -# Pippenger Logics -COORDINATE_NUM = 4 - -# RNS Reduction Logics -# Hardware friendly moduli factors are 2**16 - v for v in the following list -RNS_MODULI_T = ( - 0, - 1, - 3, - 5, - 9, - 15, - 17, - 27, - 33, - 39, - 45, - 47, - 57, - 59, - 63, - 77, - 87, - 89, - 99, - 105, - 113, - 117, - 123, - 125, - 129, - 143, - 153, - 155, - 165, - 167, - 173, - 179, - 183, - 189, - 197, - 209, - 213, - 215, - 225, - 227, - 243, - 249, - 14, - 38, - 50, - 54, - 98, - 102, - 110, - 122, -) - -MODULI = tuple([ - 2**16 if i == 0 else 2**16 - int(i) if i % 2 == 1 else 2**15 - (int(i) // 2) - for i in RNS_MODULI_T -]) - - -RNS_PRECISION = 16 -NUM_MODULI = len(RNS_MODULI_T) -# Maximum number of consecutive additions/subtractions -ADDITION_BOUND = 4 - -# Warning: specific to target modulus and addition bound -MODULI_SUB = tuple([ - ((512 * NUM_MODULI * MODULUS_377_INT * ADDITION_BOUND) - 2**16) % m - for m in MODULI -]) -TWIST_D_RNS = tuple([TWIST_D_INT % MODULI[i] for i in range(len(MODULI))]) - - -#################################### -# Utility Functions -#################################### - - -def print_hex_values(int_list): - hex_values = " ".join((hex(value)) for value in int_list) - print(hex_values) - - -def array_to_int(jax_array: jax.Array, base) -> int: - """Converts a JAX array to a single Python integer.""" - result = 0 - - for i, elem in enumerate(jax_array): - result |= int(elem) << (i * base) - - return result - - -def int_to_array( - python_int, base=BASE, dtype=jnp.uint16, array_size=U16_CHUNK_NUM -): - """Converts a Python integer to a JAX array.""" - mask = (1 << base) - 1 - - elements = [] - while python_int > 0: - elements.append(python_int & mask) # Extract the lower bits - python_int >>= base # Shift to remove the extracted bits - - # we pad or trim the result to match the desired size - if array_size is not None: - assert array_size >= len(elements) - elements = elements[:array_size] + [0] * (array_size - len(elements)) - - return jnp.array(elements, dtype=dtype) - - -def array_to_int_list(jax_array, base): - """Converts JAX array to single integer.""" - result_list = [] - for i in range(jax_array.shape[0]): - value_vector = jax_array[i] - value_int = array_to_int(value_vector, base) - result_list.append(value_int) - return result_list - - -def int_list_to_array(int_list, base=BASE, array_size=U16_CHUNK_NUM): - """Converts a list of integers to a JAX array.""" - chunked_arrays = [] - for int_value in int_list: - chunked_arrays.append(int_to_array(int_value, base, array_size=array_size)) - return jnp.array(chunked_arrays) - - -def int_point_to_jax_point_pack( - coordinates: List[int], base=BASE, chunk_num=U16_CHUNK_NUM -): - result = [] - for i in range(len(coordinates)): - result.append(int_to_array(coordinates[i], base, array_size=chunk_num)) - return jnp.array(result) - - -def jax_point_pack_to_int_point(point: jax.Array): - coordinate_num = point.shape[0] - coordinates = [] - for i in range(coordinate_num): - c = array_to_int(point[i], BASE) - coordinates.append(c) - return coordinates - - -# RNS related data formal conversion -def int_to_array_rns(x): - return [x % m for m in MODULI] - - -def array_rns_to_int(residues): - rns_precompute_values = rns_precompute(MODULI) - return rns_reconstruct(residues, MODULI, rns_precompute_values) - - -def int_list_to_array_rns(int_list) -> jnp.ndarray: - """Converts a list of integers to a JAX array.""" - limbs = [] - for int_value in int_list: - limbs.append(int_to_array_rns(int_value)) - return jnp.array(limbs) - - -def array_rns_to_int_list(jax_array): - """Converts JAX array to single integer.""" - result_list = [] - for i in range(jax_array.shape[0]): - value_vector = jax_array[i] - value_int = array_rns_to_int(value_vector) - result_list.append(value_int) - return result_list - - -def int_point_to_jax_rns_point_pack(coordinates: List[int]): - result = [] - for i in range(len(coordinates)): - result.append(int_to_array_rns(coordinates[i])) - return jnp.array(result) - - -def jax_rns_point_pack_to_int_point(point: jax.Array): - coordinate_num = point.shape[0] - coordinates = [] - for i in range(coordinate_num): - c = array_rns_to_int(point[i]) - coordinates.append(c) - return coordinates - - -def int_point_batch_to_jax_point_pack( - points: List[List[int]], base=BASE, chunk_num=U16_CHUNK_NUM -): - result = [] - for i in range(len(points)): - result.append(int_point_to_jax_point_pack(points[i], base, chunk_num)) - return jnp.transpose(jnp.array(result), (1, 0, 2)) - - -def jax_point_pack_to_int_point_batch(point_pack: jnp.ndarray, base=BASE): - points = jnp.transpose(point_pack, (1, 0, 2)) - results = [] - for i in range(len(points)): - results.append(array_to_int_list(points[i], base)) - return results - - -def int_point_batch_to_jax_rns_point_pack(points: List[List[int]]): - result = [] - for i in range(len(points)): - result.append(int_point_to_jax_rns_point_pack(points[i])) - return jnp.transpose(jnp.array(result), (1, 0, 2)) - - -def jax_rns_point_pack_to_int_point_batch(point_pack: jnp.ndarray): - points = jnp.transpose(point_pack, (1, 0, 2)) - results = [] - for i in range(len(points)): - results.append(array_rns_to_int_list(points[i])) - return results - - -# RNS helpers -def total_modulus(moduli): - modulus = 1 # Compute the big modulus - for m in moduli: - modulus *= m - return modulus - - -def rns_precompute(moduli): - modulus = total_modulus(moduli) - precomputed = [] - for m in moduli: - rest = modulus // m # 0 mod all the other moduli - inverse = pow(rest % m, -1, m) # factor to make 1 mod this moduli - icrt_val = (rest * inverse) % modulus # combine - precomputed.append(icrt_val) - return precomputed - - -def rns_reconstruct(residues, moduli, precomputed): - assert len(residues) == len(moduli) - assert len(moduli) == len(precomputed) - output = 0 - for i, r in enumerate(residues): - output += precomputed[i] * int(r) - return output % total_modulus(moduli) - - -def to_rns(x, moduli): - assert x < total_modulus(moduli) - return [x % m for m in moduli] - - -def to_tuple(a): - """Create to convert numpy array into tuple.""" - try: - return tuple(to_tuple(i) for i in a) - except TypeError: - return a - - -# The following function achieves the same function as int_to_array, but it -# can be pre-run (Google restriction), and returns a tuple. -def int_to_precomputed_array( - python_int, base=BASE, dtype=jnp.uint16, array_size=U16_CHUNK_NUM -): - """Converts a Python integer to a JAX array.""" - mask = (1 << base) - 1 - - elements = [] - while python_int > 0: - elements.append(python_int & mask) # Extract the lower bits - python_int >>= base # Shift to remove the extracted bits - - # we pad or trim the result to match the desired size - if array_size is not None: - assert array_size >= len(elements) - elements = elements[:array_size] + [0] * (array_size - len(elements)) - - return to_tuple(np.array(elements, dtype=dtype).tolist()) - - -#################################### -# Performance Profiler Functions (Google Internal) -#################################### - - -def profile_jax_functions( - tasks: List[Tuple[Callable[..., Any], Tuple[Any, ...]]], - profile_name: str = "jax_profile", -): - """Profiles a list of JAX functions. - - Args: - tasks: A list of tuples, where each tuple contains a JAX function and its - arguments. - profile_name: The name of the profile. - - Usage: - tasks = [ - (jit_pdul_barrett_xyzz_pack, (point_a_jax,)), - ] - profile_name = "jit_pdul_barrett_xyzz_pack" - profile_jax_functions(tasks, profile_name) - """ - session_id = None - - # copybara: session = xprof_session.XprofSession() - # copybara: session.start_session() - try: - # Launch all JAX computations - results = [] - for func, args_tuple in tasks: - result = func(*args_tuple) - results.append(result) - - # Wait for all computations launched in the loop to complete - if results: - jax.block_until_ready(results) - - except Exception as e: # pylint: disable=broad-exception-caught - print(f"Error type: {type(e).__name__}") - print(f"Error details: {e}") - # Attempt to end the session even if there was an error - # copybara: session_id = session.end_session_and_get_session_id() - print("Xprof session ended due to error.") - if session_id: - print(f"{profile_name}: http://xprof/?session_id={session_id}") - finally: - if session_id is None: - # copybara: session_id = session.end_session_and_get_session_id() - print(f"{profile_name}: http://xprof/?session_id={session_id}") - # copybara: client = xprof_analysis_client.XprofAnalysisClient() - trace = ( - client.get_profile_data("trace_viewer.json", session_id) - if client - else None - ) - jtrace = json.loads(trace[1]) if trace else None - if jtrace: - for e in jtrace["traceEvents"]: - if profile_name in e["name"]: - print(f"{profile_name} latency: {e['dur']}\n") - - -#################################### -# Lazy Reduction -- Offline Precompute -#################################### - - -def construct_lazy_matrix(p, chunk_precision=8, chunk_num_u8=U8_CHUNK_NUM): - """Construct the lazy matrix. - - Args: - p: The modulus. - chunk_precision: The chunk precision. - chunk_num_u8: The number of chunks in the u8 value. - - Returns: - lazy_mat: The lazy matrix. - - Note that: this function runs on CPU of the TPU-VM, which cannot be jitted. - """ - lazy_mat_list = [] - for i in range(chunk_num_u8 + 4): - val = int(int(256) ** (chunk_num_u8 + i)) % p - lazy_mat_list.append( - int_to_precomputed_array(val, chunk_precision, array_size=chunk_num_u8) - ) - return to_tuple(lazy_mat_list) - - -MODULUS_377_LAZY_MAT = construct_lazy_matrix(MODULUS_377_INT) - - -#################################### -# RNS Reduction -- Offline Precompute -#################################### - - -def find_moduli(total_modulus, precision): - """Finds a list of moduli close to the given precision. - - Args: - total_modulus: The target modulus. - precision: The desired precision of the moduli. - - Returns: - A tuple containing two lists: - - overall_moduli: A list of moduli close to the given precision. - - overall_constant_offset: A list of constant offsets for the moduli. - """ - initial_moduli = 2**precision - overall_moduli = [] - overall_constant_offset = [] - overall_modulus = 1 - for i in range(2 ** (precision >> 1) - 1): - cur_moduli = initial_moduli - i - if math.gcd(cur_moduli, overall_modulus) == 1: - overall_moduli.append(cur_moduli) - overall_constant_offset.append(i) - overall_modulus *= cur_moduli - if overall_modulus > total_modulus: - return to_tuple(overall_moduli), to_tuple(overall_constant_offset) - - # Find 2**15 - v too - initial_moduli = 2 ** (precision - 1) - if overall_modulus < total_modulus: - for i in range(2 ** (precision >> 1) - 1): - cur_moduli = initial_moduli - i - if math.gcd(cur_moduli, overall_modulus) == 1: - overall_moduli.append(cur_moduli) - overall_constant_offset.append(i << 1) - overall_modulus *= cur_moduli - if overall_modulus > total_modulus: - return to_tuple(overall_moduli), to_tuple(overall_constant_offset) - - return to_tuple(overall_moduli), to_tuple(overall_constant_offset) - - -def rns_icrt_factors_compute(modulus, moduli): - precomputed = [] - for m in moduli: - rest = modulus // m # 0 mod all the other moduli - inverse = pow(rest % m, -1, m) # factor to make 1 mod this moduli - icrt_val = (rest * inverse) % modulus # combine - precomputed.append(icrt_val) - return precomputed - - -def rns_coefficients_precompute( - icrt_factors, - overall_moduli, - num_bytes, - moduli_precision, - overall_modulus, - q, -): - """Precompute RNS coefficients. - - Args: - icrt_factors: Precomputed inverse CRT factors. - overall_moduli: Array of moduli. - num_bytes: Number of bytes. - moduli_precision: Precision of the moduli. - overall_modulus: Overall modulus. - q: Target modulus. - - Returns: - Precomputed RNS coefficients and correction coefficients. - """ - num_residues = len(overall_moduli) - # icrt_factors_byteshifted -- (num_residues, num_bytes) - icrt_factors_byteshifted = [ - [ - (((1 << (8 * pre_id)) * factor) % overall_modulus) - for pre_id in range(num_bytes) - ] - for factor in icrt_factors - ] - # icrt_factors_byteshifted_modq -- (num_residues, num_bytes) - icrt_factors_byteshifted_modq = [ - [(chunk % q) for chunk in factors] for factors in icrt_factors_byteshifted - ] - # icrt_factors_byteshifted_modq_rns - # (num_residues, num_bytes, num_residues) [Convert each byte range into RNS] - icrt_factors_byteshifted_modq_rns = [ - [to_rns(chunk, overall_moduli) for chunk in factors] - for factors in icrt_factors_byteshifted_modq - ] - - rns_mat = np.array( - icrt_factors_byteshifted_modq_rns, dtype=np.uint16 - ).reshape(-1, num_residues) - - # calculate quotient estimation - fix_point = 1 << moduli_precision - - shifted_quotient_estimations = [] - for factors in icrt_factors_byteshifted: - for chunk in factors: - shifted_quotient_estimations.append( - [math.ceil((chunk * fix_point) / overall_modulus)] - ) - sqe_mat = np.array(shifted_quotient_estimations, dtype=np.uint16) - - cor_mat = np.array( - [to_rns(-overall_modulus % q, overall_moduli)], dtype=np.uint16 - ) - - # Convert rns_mat and sqe_mat into various bytes. - # Version 1: split precision into different chunks. - # rns_mat_u8 = rns_mat.view(np.uint8).reshape(*rns_mat.shape, num_bytes) - # seq_mat_u8 = sqe_mat.view(np.uint8).reshape(*sqe_mat.shape, num_bytes) - # rns_stack_mat_u8 = np.hstack(( - # rns_mat_u8[..., 0], - # seq_mat_u8[..., 0], - # rns_mat_u8[..., 1], - # seq_mat_u8[..., 1], - # )) - # Version 2: interleave precision -- tested to be faster. - rns_stack_mat_u8 = np.hstack( - (rns_mat.view(jnp.uint8), sqe_mat.view(jnp.uint8)) - ) - return to_tuple(rns_stack_mat_u8.tolist()), to_tuple(cor_mat.tolist()) - - -def get_parts(u16mat): - assert u16mat.dtype == np.uint16 - u16bytes = u16mat.view(np.uint8) - return [u16bytes[:, ::2], u16bytes[:, 1::2]] - - -M = MODULUS_377_INT * MODULUS_377_INT * 256 * 256 * 50 * 50 * 4 * 2 -moduli_precision = 16 -num_bytes = moduli_precision // 8 # 2 -# hardware friendly moduli is 2**precision - t -# overall_moduli is the jax.array of "2**precision - t" -# overall_constant_offset is the jax.array of "t" -overall_moduli, overall_constant_offset = find_moduli(M, moduli_precision) -M = 1 -for moduli in overall_moduli: - M *= moduli -M = int(M) -assert len(overall_moduli) == ( - (M.bit_length() + moduli_precision - 1) // moduli_precision -) - -icrt_factors = rns_icrt_factors_compute(M, overall_moduli) - -RNS_STACK_MAT_NEW, COR_MAT_NEW = rns_coefficients_precompute( - icrt_factors, - overall_moduli, - num_bytes, - moduli_precision, - M, - MODULUS_377_INT, -) - - -def construct_rns_matrix(q): - return rns_coefficients_precompute( - icrt_factors, overall_moduli, num_bytes, moduli_precision, M, q - ) - - -############################### -# Break High-precision Integer into Chunkcs -############################### - - -MODULI = overall_moduli -RNS_MODULI_T = overall_constant_offset -RNS_MAT = (RNS_STACK_MAT_NEW, COR_MAT_NEW) -MODULUS_377_INT_CHUNK = int_to_precomputed_array( - MODULUS_377_INT, base=BASE, array_size=U16_CHUNK_NUM -) -MU_377_INT_CHUNK = int_to_precomputed_array( - MU_377_INT, base=BASE, array_size=U16_CHUNK_NUM -) -TWIST_D_INT_CHUNK = int_to_precomputed_array( - TWIST_D_INT, base=BASE, array_size=U16_EXT_CHUNK_NUM -) -MODULUS_377_S16_INT_CHUNK = int_to_precomputed_array( - MODULUS_377_S16_INT, base=BASE, array_size=U16_EXT_CHUNK_NUM -) diff --git a/jaxite_ec/utils.py b/jaxite_ec/utils.py new file mode 100644 index 0000000..21cabb6 --- /dev/null +++ b/jaxite_ec/utils.py @@ -0,0 +1,804 @@ +import csv +from functools import lru_cache +import hashlib +import math +import os +import pickle +from typing import Any, Callable, List, Optional +import warnings +import jax +from jax import export +from jax import sharding as shd +import jax.numpy as jnp +import numpy as np +import toml + +# ============================================================================= +# Load configurations +# ============================================================================= +_config_path = os.path.join( + os.path.dirname(os.path.abspath(__file__)), "configurations.toml" +) +with open(_config_path, "r", encoding="utf-8") as _f: + _config = toml.load(_f) +_serialized_jax_kernel_dir = _config.get( + "serialized_jax_kernel_dir", "./deployments/" +) +if "TEST_TMPDIR" in os.environ: + _serialized_jax_kernel_dir = os.path.join( + os.environ["TEST_TMPDIR"], "deployments" + ) + +if not os.path.exists(_serialized_jax_kernel_dir): + os.makedirs(_serialized_jax_kernel_dir) +_hash_length = _config.get("hash_length", 8) + + +# ============================================================================= +# Number theory transform related helper functions +# ============================================================================= +def gen_twiddle_matrix(rows, cols, q, omega): + """Precompute the twiddle matrix T of shape (rows, cols), where T[r, c] = omega^(r*c) mod q. + + Args: + rows: The number of rows in the matrix. + cols: The number of columns in the matrix. + q: The modulus. + omega: The primitive root of unity. + + Returns: + The twiddle matrix. + """ + warnings.warn( + "gen_twiddle_matrix is deprecated. Use" + " jaxite_ntt.number_theory_transform.utils.gen_twiddle_matrix instead.", + UserWarning, + stacklevel=2, + ) + twiddle_matrix = np.zeros((rows, cols), dtype=int) + for r in range(rows): + for c in range(cols): + twiddle_matrix[r, c] = pow(int(omega), int(r * c), int(q)) + return twiddle_matrix + + +def gen_twiddle_matrix_inv(rows, cols, q, omega): + """Precompute the inverse twiddle matrix T_inv of shape (rows, cols). + + T_inv[r, c] = omega^{- (r*c)} mod q. + + Args: + rows: The number of rows in the matrix. + cols: The number of columns in the matrix. + q: The modulus. + omega: The primitive root of unity. + + Returns: + The inverse twiddle matrix. + """ + warnings.warn( + "gen_twiddle_matrix_inv is deprecated. Use" + " jaxite_ntt.number_theory_transform.utils.gen_twiddle_matrix_inv" + " instead.", + UserWarning, + stacklevel=2, + ) + twiddle_matrix_inv = np.zeros((rows, cols), dtype=int) + for r in range(rows): + for c in range(cols): + twiddle_matrix_inv[r, c] = pow(int(omega), int(-r * c), int(q)) + return twiddle_matrix_inv + + +def prime_factors(n): + """Return the set of prime factors of n.""" + factors = set() + # Divide out factors of 2 + while n % 2 == 0: + factors.add(2) + n //= 2 + # Check odd factors from 3 to sqrt(n) + p = 3 + while p**2 <= n: + while n % p == 0: + factors.add(p) + n //= p + p += 2 + if n > 1: + factors.add(n) + return factors + + +def find_generator(q): + """Find a primitive root modulo q. + + Args: + q (int): The prime modulus. + + Returns: + A generator of GF(q)^*. + + Raises: + ValueError: If no generator is found, indicating q is not prime. + """ + phi = q - 1 + factors = prime_factors(phi) + + # Test candidates from 2 to q-1. + for g in range(2, q): + is_generator = all(pow(g, phi // p, q) != 1 for p in factors) + if is_generator: + return g + raise ValueError("No generator found, check that q is prime.") + + +def root_of_unity(m: int, q: int) -> int: + """Canonical primitive m-th root of unity modulo q that **works with NTT**. + + Args: + m (int): The order of the root of unity. + q (int): The prime modulus. + + Returns: + int: The canonical primitive m-th root of unity modulo q. + + Usage: + root_of_unity(16, 134219681) # This works with NTT. + computed_psi = [root_of_unity(m, q) for q in original_modulus] + """ + assert (q - 1) % m == 0, "q-1 must be divisible by m" + # Step 1: multiplicative generator of Z_q^* + g = find_generator(q) + # Step 2: raise to (q-1)/m to get an m-th root candidate + r = pow(g, (q - 1) // m, q) + # Step 3: among r^k with gcd(k,m)=1, pick the minimal value whose order is exactly m + # For m=2^t, order check is psi^(m/2) == q-1 (i.e., == -1 mod q) + candidates = [] + half = m // 2 + for k in range(1, m): + if math.gcd(k, m) != 1: + continue + psi = pow(r, k, q) + if pow(psi, half, q) == q - 1 and pow(psi, m, q) == 1: + candidates.append(psi) + assert candidates, "No primitive m-th root found" + return int(min(candidates)) + + +# ============================================================================= +# Modular arithmetic related helper functions +# ============================================================================= +def modular_inverse(a: int, m: int): + t, new_t = 0, 1 + r, new_r = m, a + + while new_r != 0: + quotient = r // new_r + t, new_t = new_t, t - quotient * new_t + r, new_r = new_r, r - quotient * new_r + + if r > 1: + raise ValueError(f"{a} is not invertible modulo {m}") + if t < 0: + t += m + + return t + + +def compute_crt_factors(moduli): + modular = math.prod(moduli) + ms = [modular // m for m in moduli] + ms_inv = [modular_inverse(ms[i], moduli[i]) for i in range(len(moduli))] + return [(ms[i] * ms_inv[i]) % modular for i in range(len(moduli))] + + +def to_rns(x, moduli): + return [x % m for m in moduli] + + +def rns_reconstruct(residues, moduli, crt_factors): + return sum( + [residues[i] * crt_factors[i] for i in range(len(residues))] + ) % math.prod(moduli) + + +def find_moduli_specified_number(total_number, precision): + """Finds a list of moduli close to the given precision. + + The moduli are all odd and coprime. + + Args: + total_number: The total number of moduli requirement. + precision: The desired precision of the moduli. + + Returns: + A tuple containing two lists: + - overall_moduli: A list of moduli close to the given precision. + """ + initial_moduli = 2**precision + overall_moduli = [] + overall_modulus = 1 + for i in range(1, 2 ** (precision >> 1) - 1): + cur_moduli = initial_moduli - i + if cur_moduli % 2 == 1 and math.gcd(cur_moduli, overall_modulus) == 1: + overall_moduli.append(cur_moduli) + overall_modulus *= cur_moduli + if len(overall_moduli) >= total_number: + return to_tuple(overall_moduli) + + # Find 2**31 - v + initial_moduli = 2 ** (precision - 1) + if len(overall_moduli) < total_number: + for i in range(1, 2 ** (precision >> 1) - 1): + cur_moduli = initial_moduli - i + if cur_moduli % 2 == 1 and math.gcd(cur_moduli, overall_modulus) == 1: + overall_moduli.append(cur_moduli) + overall_modulus *= cur_moduli + if len(overall_moduli) >= total_number: + return to_tuple(overall_moduli) + + return to_tuple(overall_moduli) + + +def find_primes_with_bits(number, bits): + """Returns a list of 'number' prime numbers, each with exactly 'bits' bits. + + Args: + number (int): The number of primes to find. + bits (int): The bit length of each prime. + + Returns: + List[int]: List of prime numbers with the specified bit length. + """ + + def is_prime(n): + if n < 2: + return False + if n == 2 or n == 3: + return True + if n % 2 == 0 or n % 3 == 0: + return False + i = 5 + w = 2 + while i * i <= n: + if n % i == 0: + return False + i += w + w = 6 - w + return True + + primes = [] + lower = 1 << (bits - 1) + upper = (1 << bits) - 1 + candidate = lower | 1 # ensure odd + + while candidate <= upper and len(primes) < number: + if is_prime(candidate): + primes.append(candidate) + candidate += 2 # only check odd numbers + + return primes + + +def modular_matrix_np_u32_to_u8_bat_4d(matrix: np.ndarray, modulus: int): + rows, cols = matrix.shape + assert modulus <= 2**31 + matrix_u64 = matrix.astype(np.uint64) + matrix_u64_byteshifted = np.array( + [matrix_u64 << (8 * byte_idx) for byte_idx in range(4)], dtype=np.uint64 + ) + # shape is (4, rows, cols) + matrix_u64_byteshifted = matrix_u64_byteshifted.transpose(1, 0, 2) + matrix_u64_byteshifted_mod_modulus = ( + matrix_u64_byteshifted % modulus + ).astype(np.uint32) + matrix_u8 = matrix_u64_byteshifted_mod_modulus.view(np.uint8).reshape( + rows, 4, cols, 4 + ) + return matrix_u8 + + +# ============================================================================= +# MSM related helper functions +# ============================================================================= +def read_external_msm_file(path, type: str): + if type == "scalars": + scalars = [] + with open( + path, "r", newline="", encoding="utf-8" + ) as csvfile: # Handle potential encoding issues + csv_reader = csv.reader(csvfile) + for row in csv_reader: + scalars.append(int(row[-1][13:-2], 16)) + return scalars + + elif type == "points": + points = [] + with open( + path, "r", newline="", encoding="utf-8" + ) as csvfile: # Handle potential encoding issues + csv_reader = csv.reader(csvfile) + for row in csv_reader: + points.append([int(row[8][13:-2], 16), int(row[-1][13:-2], 16)]) + return points + + elif type == "result_ref": + result_ref = [] + with open( + path, "r", newline="", encoding="utf-8" + ) as csvfile: # Handle potential encoding issues + csv_reader = csv.reader(csvfile) + for row in csv_reader: + result_ref.append(int(row[7][13:-2], 16)) + result_ref.append(int(row[-1][13:-2], 16)) + return result_ref + + +def split_list(lst, chunk_size): + """Splits a list into equal-sized chunks.""" + return [lst[i : i + chunk_size] for i in range(0, len(lst), chunk_size)] + + +def slice_scalars( + scalars: List, scalar_bits: int, slice_length: int +) -> List[List]: + window_num = int(math.ceil(scalar_bits / slice_length)) + mask = (1 << slice_length) - 1 + slices_list = [[] for _ in range(window_num)] + for scalar in scalars: + for i in range(window_num): + slices_list[i].append(scalar & mask) + scalar >>= slice_length + return slices_list + + +# ============================================================================= +# shape and tuple related helper functions +# ============================================================================= +def nested_list_depth(x: Any) -> int: + """Return the nesting depth of a list. + + Examples: + nested_list_depth([1, 2, 3]) -> 1 + nested_list_depth([[1, 2], [3, 4]]) -> 2 + nested_list_depth([[[1], [2]]]) -> 3 + + Args: + x: The value to inspect. + + Returns: + 0 if x is not a list, otherwise 1 + the maximum depth of its elements. + """ + if not isinstance(x, list): + return 0 + if len(x) == 0: + return 1 + return 1 + max(nested_list_depth(item) for item in x) + + +def to_tuple(a): + """Create to convert numpy array into tuple.""" + if isinstance(a, (list, tuple, np.ndarray)): + return tuple(to_tuple(i) for i in a) + return int(a) + + +def pad_jax_array(array: jnp.ndarray, target_shape: tuple) -> jax.Array: + if array.shape == target_shape: + return array + assert len(array.shape) == len( + target_shape + ), "array and target_shape must have the same number of dimensions" + pad_width = [] + for cur, tgt in zip(array.shape, target_shape): + assert tgt >= cur, f"target size {tgt} is smaller than current size {cur}" + pad_width.append((0, tgt - cur)) + return jnp.pad(array, pad_width, mode="constant", constant_values=0) + + +# ============================================================================= +# Code structure +# ============================================================================= +class JaxParameters: + word_bits: Any = None + rns_moduli_inv_word: Any = None + word_mask: Any = None + half_word_mask: Any = None + half_word_bits: Any = None + rns_moduli_high: Any = None + rns_moduli_low: Any = None + rns_moduli: Any = None + crns_precision: Any = None + crns_vector_g: Any = None + crns_stacked_mat_E_with_f_T: Any = None + rns_moduli_negate: Any = None + rns_moduli_sub: Any = None + twist_d: Any = None + + def __init__(self, **kwargs): + for k, v in kwargs.items(): + setattr(self, k, v) + + def set_parameter(self, **kwargs): + for k, v in kwargs.items(): + setattr(self, k, v) + + +class JaxKernelContextBase: + + def __init__(self, use_compiled_kernels: bool = False): + self.compiled_kernels = {} + self.use_compiled_kernels = use_compiled_kernels + self.use_sharding = False + self.sharding_mesh = None + self.mesh_axes = () + + def set_use_compiled_kernels(self, use_compiled_kernels: bool): + self.use_compiled_kernels = use_compiled_kernels + + def serialize(self, parameters) -> Any: + pass + + def compile(self, parameters) -> Any: + pass + + def context_hash(self) -> str: + raise NotImplementedError("Subclasses must implement context_hash") + + def set_use_sharding(self, use_sharding: bool): + if use_sharding: + self.use_sharding = True + mesh, partition_spec = create_sharding() + axis_names = mesh.axis_names + partition = axis_names if len(axis_names) > 1 else axis_names[0] + self.sharding_mesh = mesh + self.sharding_partition = partition + self.sharding_partition_spec = partition_spec + self.mesh_axes = tuple(mesh.axis_names) + else: + self.use_sharding = False + self.sharding_mesh = None + self.sharding_partition = None + self.sharding_partition_spec = None + self.mesh_axes = () + + def make_named_sharding(self, spec) -> "jax.sharding.NamedSharding | None": + """Wrap a PartitionSpec in a NamedSharding bound to the current mesh. + + Returns None if sharding is disabled. + """ + mesh = getattr(self, "sharding_mesh", None) + if mesh is None: + return None + return jax.sharding.NamedSharding(mesh, spec) + + def shard_constraint(self, x, spec): + """Apply ``with_sharding_constraint(x, NamedSharding(mesh, spec))``. + + No-op when sharding is disabled. Intended for use inside jitted + kernels to pin intermediate layouts. + """ + mesh = getattr(self, "sharding_mesh", None) + if mesh is None: + return x + return jax.lax.with_sharding_constraint( + x, jax.sharding.NamedSharding(mesh, spec) + ) + + def create_named_sharding( + self, shape: tuple, axes: list[int] + ) -> tuple[jax.sharding.NamedSharding, tuple]: + """Create an efficient NamedSharding for the given shape and shard axes. + + (Generated by Claude) + + For 1 axis: shards across all mesh devices on that axis. Skips sharding + (returns replicated) if the axis is too small for the mesh size. Pads + the axis so that shape[axis] % total_devices == 0. + + For 2 axes: tries both mesh-to-data-axis mappings and picks the one + with less padding waste. Pads each sharded axis as needed. + + Args: + shape: Array shape. + axes: 1 or 2 axis indices to shard along. >=3 is not allowed. + + Returns: + (NamedSharding, padded_shape) — the sharding and the shape after + padding (same as input shape if no padding was needed). + """ + assert ( + hasattr(self, "sharding_mesh") and self.sharding_mesh is not None + ), "Sharding must be enabled first via enable_sharding()" + + if len(axes) == 0: + spec = [None] * len(shape) + partition_spec = jax.sharding.PartitionSpec(*spec) + return ( + jax.sharding.NamedSharding(self.sharding_mesh, partition_spec), + shape, + ) + + assert len(axes) >= 1, "Must specify at least 1 axis" + assert len(axes) <= 2, "Sharding along >= 3 axes is not supported" + + mesh = self.sharding_mesh + mesh_axis_names = mesh.axis_names # e.g. ('x', 'y') + mesh_axis_sizes = {name: mesh.shape[name] for name in mesh_axis_names} + padded_shape = list(shape) + + # Minimum elements per device below which sharding is not worthwhile + _MIN_ELEMS_PER_DEVICE = 1 + + if len(axes) == 1: + axis = axes[0] + total_devices = math.prod(mesh_axis_sizes.values()) + + # Small axis: replicate instead of sharding + if shape[axis] < total_devices * _MIN_ELEMS_PER_DEVICE: + spec = [None] * len(shape) + partition_spec = jax.sharding.PartitionSpec(*spec) + warnings.warn( + f"Shape {shape} is too small for sharding, replicating the axis" + f" {axis}", + stacklevel=2, + ) + return jax.sharding.NamedSharding(mesh, partition_spec), tuple(shape) + + # Pad so shape[axis] is divisible by total_devices + if shape[axis] % total_devices != 0: + warnings.warn( + f"Shape {shape} is not divisible by total_devices {total_devices}," + f" padding the axis {axis} to" + f" {math.ceil(shape[axis] / total_devices) * total_devices}", + stacklevel=2, + ) + padded_shape[axis] = ( + math.ceil(shape[axis] / total_devices) * total_devices + ) + + # Shard this single data axis across all mesh axes + spec = [None] * len(shape) + spec[axis] = tuple(mesh_axis_names) + partition_spec = jax.sharding.PartitionSpec(*spec) + + else: # len(axes) == 2 + axis0, axis1 = axes[0], axes[1] + total_devices = math.prod(mesh_axis_sizes.values()) + + def _compute_candidate(spec_list, shard_plan): + """Compute (waste, spec, padded) for a shard_plan: list of (mesh_label, data_axis). + + mesh_label is either a single mesh axis name or a tuple of all mesh axis + names. + """ + p = list(shape) + waste = 0 + for mesh_label, d_axis in shard_plan: + if isinstance(mesh_label, tuple): + ms = math.prod(mesh_axis_sizes[n] for n in mesh_label) + else: + ms = mesh_axis_sizes[mesh_label] + s = shape[d_axis] + if s % ms != 0: + waste += (math.ceil(s / ms) * ms) - s + p[d_axis] = math.ceil(s / ms) * ms + return waste, spec_list, tuple(p) + + # Candidate A: mesh_x -> axis0, mesh_y -> axis1 + spec_a = [None] * len(shape) + spec_a[axis0] = mesh_axis_names[0] + spec_a[axis1] = mesh_axis_names[1] + cand_a = _compute_candidate( + spec_a, [(mesh_axis_names[0], axis0), (mesh_axis_names[1], axis1)] + ) + + # Candidate B: mesh_x -> axis1, mesh_y -> axis0 + spec_b = [None] * len(shape) + spec_b[axis1] = mesh_axis_names[0] + spec_b[axis0] = mesh_axis_names[1] + cand_b = _compute_candidate( + spec_b, [(mesh_axis_names[0], axis1), (mesh_axis_names[1], axis0)] + ) + + # Candidate C: all mesh axes -> axis0 only + spec_c = [None] * len(shape) + spec_c[axis0] = tuple(mesh_axis_names) + cand_c = _compute_candidate(spec_c, [(tuple(mesh_axis_names), axis0)]) + + # Candidate D: all mesh axes -> axis1 only + spec_d = [None] * len(shape) + spec_d[axis1] = tuple(mesh_axis_names) + cand_d = _compute_candidate(spec_d, [(tuple(mesh_axis_names), axis1)]) + + candidates = [cand_a, cand_b, cand_c, cand_d] + + # Filter out candidates where a sharded axis is too small + def _is_viable(spec_list): + for i, s in enumerate(spec_list): + if s is None: + continue + if isinstance(s, tuple): + ms = math.prod(mesh_axis_sizes[n] for n in s) + else: + ms = mesh_axis_sizes[s] + if shape[i] < ms * _MIN_ELEMS_PER_DEVICE: + return False + return True + + viable = [(w, sp, pp) for w, sp, pp in candidates if _is_viable(sp)] + if not viable: + # All too small — replicate + spec = [None] * len(shape) + partition_spec = jax.sharding.PartitionSpec(*spec) + return jax.sharding.NamedSharding(mesh, partition_spec), tuple(shape) + + best_waste, best_spec, best_padded = min(viable, key=lambda x: x[0]) + spec = best_spec + padded_shape = list(best_padded) + + if best_waste > 0: + warnings.warn( + f"Shape {shape} requires padding for sharding, padded to" + f" {tuple(padded_shape)}" + ) + + partition_spec = jax.sharding.PartitionSpec(*spec) + + return jax.sharding.NamedSharding(mesh, partition_spec), tuple(padded_shape) + + +def jax_jit_lower_compile(func: Callable, *args, **kwargs) -> Callable: + # in_shardings = tuple( + # arg.sharding if isinstance(arg, jax.ShapeDtypeStruct) and getattr(arg, "sharding", None) is not None + # else None + # for arg in args + # ) + # if any(s is not None for s in in_shardings): + # assert + # return jax.jit(func, in_shardings=in_shardings).lower(*args).compile() + return jax.jit(func).lower(*args).compile() + + +def store_jax_kernel(func: Callable, *args, **kwargs) -> None: + name = kwargs.get("name") + path = os.path.join(_serialized_jax_kernel_dir, f"{name}.jax") + + serialized_jax_kernel = export.export(jax.jit(func))(*args).serialize() + with open(path, "wb") as f: + f.write(serialized_jax_kernel) + print(f"stored jax kernel to {path}") + + +def load_jax_kernel( + name: str, alternative_callable: Optional[Callable] = None +) -> Optional[Callable]: + path = os.path.join(_serialized_jax_kernel_dir, f"{name}.jax") + if not os.path.exists(path): + return alternative_callable + with open(path, "rb") as f: + serialized_jax_kernel = export.deserialize(bytearray(f.read())) + print(f"loaded jax kernel from {path}") + return serialized_jax_kernel.call + + +def store_jax_executable(func: Callable, *args, **kwargs) -> None: + return store_jax_kernel(func, *args, **kwargs) + + +def load_jax_executable(name: str) -> Optional[Callable]: + return load_jax_kernel(name) + + +# ============================================================================= +# Hashing utilities +# ============================================================================= + +# 62-character alphabet: digits + lowercase + uppercase +_HASH_CHARS = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +_HASH_BASE = len(_HASH_CHARS) # 62 + + +@lru_cache(maxsize=1) +def _get_hash_length() -> int: + """Read hash_length from configurations.toml, defaulting to 16.""" + import toml + + config_path = os.path.join( + os.path.dirname(os.path.abspath(__file__)), "configurations.toml" + ) + with open(config_path, "r", encoding="utf-8") as f: + config = toml.load(f) + return int(config.get("hash_length", 16)) + + +def _serialize(arg: Any) -> str: + """Produce a deterministic, type-tagged string for any common Python value. + + Handles arbitrarily nested lists and tuples recursively. + """ + if isinstance(arg, bool): + return f"bool:{arg}" + if isinstance(arg, int): + return f"int:{arg}" + if isinstance(arg, float): + return f"float:{repr(arg)}" + if isinstance(arg, str): + # embed length so "ab","c" != "a","bc" + return f"str{len(arg)}:{arg}" + if isinstance(arg, bytes): + return f"bytes:{arg.hex()}" + if isinstance(arg, (list, tuple)): + tag = "list" if isinstance(arg, list) else "tuple" + inner = ",".join(_serialize(x) for x in arg) + return f"{tag}[{len(arg)}:{inner}]" + if isinstance(arg, dict): + items = ";".join( + f"{_serialize(k)}->{_serialize(v)}" + for k, v in sorted(arg.items(), key=lambda kv: repr(kv[0])) + ) + return f"dict{{{len(arg)}:{items}}}" + # Fallback for other types (e.g. numpy scalars, custom objects) + return f"{type(arg).__name__}:{repr(arg)}" + + +def hash_args(*args: Any) -> str: + """Hash any number of Python values into a fixed-length alphanumeric string. + + The output length is controlled by ``hash_length`` in ``configurations.toml``. + Characters are drawn from ``[0-9a-zA-Z]`` (base-62), giving 62^length possible + values — e.g. 16 characters yield ~4.7 × 10²⁸ distinct hashes. The result is + safe to embed directly in a file name. + + Supported argument types: ``int``, ``float``, ``bool``, ``str``, ``bytes``, + ``list``, ``tuple`` (arbitrarily nested), ``dict``, and any type with a + stable ``repr``. + + Args: + *args: Values to hash. + + Returns: + A fixed-length alphanumeric hash string. + + Example: + >>> hash_args(42, "hello", [1, 2, 3]) + 'aB3x9Kp2mNqR7tYz' + """ + length = _hash_length + payload = "|".join(_serialize(a) for a in args) + digest = hashlib.blake2b(payload.encode("utf-8")).digest() # 64 bytes + + # Base-62 encode the big-endian integer + num = int.from_bytes(digest, "big") + chars: list[str] = [] + while num: + chars.append(_HASH_CHARS[num % _HASH_BASE]) + num //= _HASH_BASE + + # blake2b gives ~86 base-62 digits from 64 bytes — always enough for any + # reasonable hash_length without padding + return "".join(reversed(chars))[:length] + + +# ============================================================================= +# Sharding utilities +# ============================================================================= +def create_sharding(): + """Create default batch and replicated shardings for the current device mesh.""" + available_devices = jax.devices() + if not available_devices: + raise RuntimeError("No devices available for sharding test.") + if len(available_devices) == 8: + mesh_shape = (2, 4) + elif len(available_devices) == 4: + mesh_shape = (2, 2) + elif len(available_devices) == 2: + mesh_shape = (2, 1) + else: + mesh_shape = (1, 1) + + mesh = jax.make_mesh(mesh_shape, ("x", "y")) + shd.set_mesh(mesh) + + partition_spec = jax.sharding.PartitionSpec + return mesh, partition_spec

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