From 3281df059cd9122e178fafc20ae0c9d1048ba15f Mon Sep 17 00:00:00 2001 From: Joshua Tetzner Date: Wed, 1 Jul 2026 16:13:43 +0200 Subject: [PATCH 1/3] Testsuite and documentation --- .gitignore | 1 + README.md | 23 +- docs/make.jl | 1 + docs/render_examples.jl | 28 + docs/src/assets/examples/efie_results.html | 34 + docs/src/assets/examples/mfie_results.html | 34 + docs/src/contributing.md | 95 +- docs/src/details/method.md | 4 +- docs/src/details/operators.md | 69 + docs/src/manual/examples.md | 24 +- examples/Manifest.toml | 1524 +++++++++++++++++ examples/efie.jl | 3 +- examples/mfie.jl | 3 +- ext/CFMMExaFMMt/fmmoptions.jl | 3 +- .../abstractcorrectedkernelmatrix.jl | 4 +- test/CFMMBEAST/test_CFMMBEAST.jl | 2 + test/CFMMExaFMMt/test_CFMMExaFMMt.jl | 4 + test/runtests.jl | 17 + test/test_core.jl | 29 + test/test_operators.jl | 20 + 20 files changed, 1894 insertions(+), 28 deletions(-) create mode 100644 docs/render_examples.jl create mode 100644 docs/src/assets/examples/efie_results.html create mode 100644 docs/src/assets/examples/mfie_results.html create mode 100644 docs/src/details/operators.md create mode 100644 examples/Manifest.toml diff --git a/.gitignore b/.gitignore index 6b6bc50..de64ef5 100644 --- a/.gitignore +++ b/.gitignore @@ -10,3 +10,4 @@ lcov.info /docs/Manifest.toml /docs/build/ /docs/site/ +/examples/*.html diff --git a/README.md b/README.md index 37bad6e..3ce9a0d 100644 --- a/README.md +++ b/README.md @@ -22,21 +22,18 @@ extensions for [ExaFMMt.jl](https://github.com/JoshuaTetzner/ExaFMMt.jl), which are loaded automatically once these packages are available. +Planned extensions include interfaces to additional FMM backends — a +native Julia implementation and GPU-accelerated variants — as well as support +for two-dimensional problems. + ## Correction-Factor Matrix Method For a boundary-element matrix $A$, the far field is approximated by an FMM-backed map $A_\mathrm{FMM}$. The near interactions are evaluated with the boundary-element quadrature and corrected for the part already represented by -the FMM: - -$$Ax \approx A_\mathrm{FMM}\,x + \left(A_\mathrm{near} - A_\mathrm{FMM,near}\right)x.$$ +the FMM [1]: -The sparse correction blocks are selected from an -[H2Trees.jl](https://github.com/djukic14/H2Trees.jl) tree. A matrix-vector -product evaluates the FMM map first and then adds the sparse near correction. -Transpose and adjoint products follow the corresponding `LinearMaps.jl` -interfaces. Further details are given in the -[documentation](https://JoshuaTetzner.github.io/CorrectionFactorMatrixMethod.jl/dev/details/method/). +$$\bm{A}\bm{x} \approx \bm{A}_\mathrm{FMM}\,\bm{x} + \left(\bm{A}_\mathrm{near} - \bm{A}_\mathrm{FMM,near}\right)\bm{x}.$$ ## Installation @@ -67,14 +64,6 @@ matrix = CFMM.assemble(operator, space) result = matrix * rand(scalartype(operator), numfunctions(space)) ``` -[`CFMM.assemble`](https://JoshuaTetzner.github.io/CorrectionFactorMatrixMethod.jl/dev/manual/manual/) -constructs an optimized tree automatically. Existing trees and all lower-level -FMM, quadrature, and scheduler options can be supplied as keywords. The -returned operator implements the `LinearMaps.jl` interface, so it can be passed -straight to an iterative solver. Runnable EFIE and MFIE examples are in the -[`examples/`](examples) directory and in the -[documentation](https://JoshuaTetzner.github.io/CorrectionFactorMatrixMethod.jl/dev/). - ## References - [1] Adelman, Ross, Nail A. Gumerov, and Ramani Duraiswami. *FMM/GPU-Accelerated Boundary Element Method for Computational Magnetics and Electrostatics.* IEEE Transactions on Magnetics 53, no. 12 (December 2017): 1–11. [https://doi.org/10.1109/TMAG.2017.2725951](https://doi.org/10.1109/TMAG.2017.2725951). diff --git a/docs/make.jl b/docs/make.jl index cd0608f..4b5b813 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -24,6 +24,7 @@ makedocs(; ["General Usage" => "manual/manual.md", "Examples" => "manual/examples.md"], "Details" => [ "Correction-Factor Method" => "details/method.md", + "Supported Operators" => "details/operators.md", "Package Extensions" => "details/extensions.md", ], "Contributing" => "contributing.md", diff --git a/docs/render_examples.jl b/docs/render_examples.jl new file mode 100644 index 0000000..5d63d7b --- /dev/null +++ b/docs/render_examples.jl @@ -0,0 +1,28 @@ +# Regenerate the pre-rendered plot assets embedded in the documentation. +# Run from the package root: +# +# julia --startup-file=no docs/render_examples.jl +# +# Commit the generated files in docs/src/assets/examples/ afterwards. + +using Pkg: Pkg +Pkg.activate(joinpath(@__DIR__, "..", "examples")) +Pkg.develop(; path=joinpath(@__DIR__, "..")) +Pkg.instantiate() + +using BEAST +using CompScienceMeshes +using CorrectionFactorMatrixMethod +using ExaFMMt +using Krylov +using LinearAlgebra +using PlotlyJS + +outdir = joinpath(@__DIR__, "src", "assets", "examples") +mkpath(outdir) +ENV["CFMM_OUTPUT_DIR"] = outdir + +include(joinpath(@__DIR__, "..", "examples", "efie.jl")) +include(joinpath(@__DIR__, "..", "examples", "mfie.jl")) + +@info "Plots written to $outdir" diff --git a/docs/src/assets/examples/efie_results.html b/docs/src/assets/examples/efie_results.html new file mode 100644 index 0000000..d8084c7 --- /dev/null +++ b/docs/src/assets/examples/efie_results.html @@ -0,0 +1,34 @@ + + + +
+ + + + +
+
+ +
+ + + \ No newline at end of file diff --git a/docs/src/assets/examples/mfie_results.html b/docs/src/assets/examples/mfie_results.html new file mode 100644 index 0000000..070a958 --- /dev/null +++ b/docs/src/assets/examples/mfie_results.html @@ -0,0 +1,34 @@ + + + +
+ + + + +
+
+ +
+ + + \ No newline at end of file diff --git a/docs/src/contributing.md b/docs/src/contributing.md index 9f0c262..2ff7735 100644 --- a/docs/src/contributing.md +++ b/docs/src/contributing.md @@ -1,7 +1,95 @@ # Contributing -Development work targets the `dev` branch. Open a pull request from `dev` to -`main` for stable changes, and merge it with a merge commit. +## What is currently implemented + +CorrectionFactorMatrixMethod.jl provides a matrix-free BEM framework for +**three-dimensional** problems. The following is in place: + +- **Core machinery**: correction-factor assembly driven by an `H2Trees.BlockTree`, + sparse near-field correction via `BlockSparseMatrices.jl`, and a + `LinearMaps.jl`-compatible `PetrovGalerkinCFMM` operator supporting forward, + transpose, and adjoint products. +- **BEAST extension** (`CFMMBEAST`): quadrature, collocation, and corrected-kernel + assembly for all BEAST `IntegralOperator` types; specialisations for + Helmholtz 3D (V, K, K', W) with Lagrange C0D1 basis functions and Maxwell 3D + (T/EFIE, K/MFIE) with Raviart–Thomas basis functions. +- **ExaFMMt extension** (`CFMMExaFMMt`): operator-parameter mapping to + `LaplaceFMMOptions`, `ModifiedHelmholtzFMMOptions`, and `HelmholtzFMMOptions`; + Helmholtz operators with zero wavenumber automatically reduce to the Laplace + path. + +For a complete list of tested operator–basis combinations see the +[Supported Operators](@ref) page. + +## What could be added + +Contributions are welcome in any of the following areas: + +### Additional FMM backends + +The `FMMFunctor` interface is designed to be extended. Adding a new FMM +library requires implementing: + +- `CorrectionFactorMatrixMethod.setup(spoints, tpoints, options)` — set up the + FMM from source and target point matrices. +- `CorrectionFactorMatrixMethod.fmmresult(fmm, x)` — evaluate the FMM + map for a given input vector. + +Potential targets include: + +- **A native Julia FMM**: A pure-Julia implementation would remove the binary + dependency on ExaFMMt and simplify installation, particularly on HPC + systems. +- **FMMLIB2D / FMMLIB3D**: The Fortran-based FMM libraries wrapped for Julia + could serve as an alternative backend. +- **GPU-accelerated FMMs**: An extension that drives a GPU FMM (e.g. via CUDA) + would be a natural fit for the GPU near-field assembler already used for + BEAST. + +### Two-dimensional operator support + +The current collocation and operator implementations target 3D surfaces only. +Extending to 2D would require: + +- A 2D `sources` / `potentials` implementation for 1D boundary curves. +- Operators for the 2D Helmholtz and Laplace kernels + (``G(\bm{x},\bm{y}) = \tfrac{i}{4} H_0^{(1)}(k|\bm{x}-\bm{y}|)``). +- A 2D-capable FMM backend (e.g. FMMLIB2D). + +### Additional BEM library integrations + +The `CFMMBEAST` extension can serve as a blueprint for integrating other +Julia BEM libraries. Any library that can provide quadrature data and +block assemblers in the same style can be added as a new extension. + +### Further operator–basis combinations + +Some operator–basis pairings (e.g. Helmholtz operators with +Raviart–Thomas basis functions, or Maxwell operators with Lagrange +basis functions for mixed formulations) are architecturally supported but not +yet tested. Contributions that add and verify such combinations are welcome. + +## Regenerating documentation plots + +The interactive plots on the Examples page are pre-rendered HTML files stored +in `docs/src/assets/examples/` and committed to the repository. The CI build +only serves these static files; it does not re-run the examples. + +After changing any file in `examples/`, regenerate the plots from the +repository root: + +```sh +julia --startup-file=no docs/render_examples.jl +``` + +Then commit the updated HTML files alongside your example changes. Running the +test suite locally will emit a `@warn` if the HTML files are older than the +example scripts, so you will not accidentally forget this step. + +## Development workflow + +Development targets the `dev` branch. Open a pull request from `dev` to +`main` for stable releases and merge with a merge commit. Run the package checks locally with: @@ -20,4 +108,5 @@ include("docs/make.jl") ``` Code must pass the formatter, Aqua, JET, and ExplicitImports checks included in -the test suite. +the test suite. The formatter is configured with the `blue` style at a column +margin of 92. diff --git a/docs/src/details/method.md b/docs/src/details/method.md index 38dfc24..5bc936d 100644 --- a/docs/src/details/method.md +++ b/docs/src/details/method.md @@ -6,8 +6,8 @@ the boundary-element quadrature and corrected for the interactions already represented by the FMM: ```math -A x \approx A_{\mathrm{FMM}}x + -\left(A_{\mathrm{near}} - A_{\mathrm{FMM,near}}\right)x. +\bm{A}\bm{x} \approx \bm{A}_{\mathrm{FMM}}\bm{x} + +\left(\bm{A}_{\mathrm{near}} - \bm{A}_{\mathrm{FMM,near}}\right)\bm{x}. ``` The sparse correction blocks are selected from an `H2Trees.BlockTree`. diff --git a/docs/src/details/operators.md b/docs/src/details/operators.md new file mode 100644 index 0000000..b9b4bff --- /dev/null +++ b/docs/src/details/operators.md @@ -0,0 +1,69 @@ +# Supported Operators + +All operators currently implemented target **three-dimensional** problems. +Two-dimensional support is a planned future extension. + +The CFMM wrapper is constructed via [`CFMM.assemble`](@ref) (or the lower-level +[`PetrovGalerkinCFMM`](@ref)) once the `CFMMBEAST` and `CFMMExaFMMt` extensions +are loaded. + +## Helmholtz 3D (scalar) + +These operators act on scalar basis functions. +The current implementation supports **Lagrange C0D1** (`lagrangec0d1`) basis +functions on triangulated surfaces. + +The Helmholtz Green's function is + +```math +G(\bm{x},\bm{y}) = \frac{e^{ik|\bm{x}-\bm{y}|}}{4\pi|\bm{x}-\bm{y}|}, +\quad k \in \mathbb{C}. +``` + +Setting `wavenumber = 0` recovers the Laplace Green's function +``G_0(\bm{x},\bm{y}) = 1/(4\pi|\bm{x}-\bm{y}|)``; the ExaFMMt backend +automatically switches to `LaplaceFMMOptions` in that case. + +| Operator | BEAST constructor | Mathematical form | +|:---------|:------------------|:------------------| +| Single-layer (V) | `Helmholtz3D.singlelayer(; wavenumber)` | ``(V u)(\bm{x}) = \int_\Gamma G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | +| Double-layer (K) | `Helmholtz3D.doublelayer(; wavenumber)` | ``(K u)(\bm{x}) = \int_\Gamma \partial_{\bm{n}(\bm{y})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | +| Transposed double-layer (K') | `Helmholtz3D.doublelayer_transposed(; wavenumber)` | ``(K' u)(\bm{x}) = \int_\Gamma \partial_{\bm{n}(\bm{x})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | +| Hypersingular (W) | `Helmholtz3D.hypersingular(; wavenumber)` | ``(W u)(\bm{x}) = -\partial_{\bm{n}(\bm{x})} \int_\Gamma \partial_{\bm{n}(\bm{y})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | + +All four operators are tested with `lagrangec0d1` basis functions (Petrov–Galerkin, +square systems). Other scalar basis function types may work but are not +currently verified. + +## Maxwell 3D (vector) + +These operators act on vector basis functions. +The current implementation supports **Raviart–Thomas** (`raviartthomas`) basis +functions on triangulated surfaces. + +| Operator | BEAST constructor | Mathematical form | +|:---------|:------------------|:------------------| +| Single-layer / EFIE (T) | `Maxwell3D.singlelayer(; wavenumber)` | ``(\mathcal{T}\bm{u})(\bm{x}) = \alpha\!\int_\Gamma G\,\bm{u}\,\mathrm{d}S + \beta\,\nabla\!\int_\Gamma G\,\nabla_\Gamma\!\cdot\bm{u}\,\mathrm{d}S`` | +| Double-layer / MFIE (K) | `Maxwell3D.doublelayer(; wavenumber)` | ``(\mathcal{K}\bm{u})(\bm{x}) = \int_\Gamma \nabla G(\bm{x},\bm{y})\times\bm{u}(\bm{y})\,\mathrm{d}S(\bm{y})`` | + +Both operators are tested with `raviartthomas` basis functions (Petrov–Galerkin, +square systems). + +## Tested basis-function / operator combinations + +The table below summarises which combinations are covered by the automated +test suite. A ✓ means the forward product, the transpose, and the adjoint +are all verified against a dense BEAST assembly. + +| Operator | `lagrangec0d1` | `raviartthomas` | +|:---------|:--------------:|:---------------:| +| `Helmholtz3D.singlelayer` | ✓ | — | +| `Helmholtz3D.doublelayer` | ✓ | — | +| `Helmholtz3D.doublelayer_transposed` | ✓ | — | +| `Helmholtz3D.hypersingular` | ✓ | — | +| `Maxwell3D.singlelayer` | — | ✓ | +| `Maxwell3D.doublelayer` | — | ✓ | + +Combinations marked — are not supported by the current operator +implementation (the scalar Helmholtz operators require scalar basis functions; +the vector Maxwell operators require vector basis functions). diff --git a/docs/src/manual/examples.md b/docs/src/manual/examples.md index 9b84c2b..8762ce9 100644 --- a/docs/src/manual/examples.md +++ b/docs/src/manual/examples.md @@ -36,7 +36,7 @@ space = raviartthomas(mesh) wavenumber = 1.0 operator = Maxwell3D.singlelayer(; wavenumber) excitation = Maxwell3D.planewave(; - direction=ẑ, polarization=x̂, wavenumber + direction=ẑ, polarization=x̂, wavenumber ) rhs = assemble((n × excitation) × n, space) @@ -46,6 +46,16 @@ current, stats = Krylov.gmres( ) ``` +Far-field pattern (top left), scattered electric field magnitude in the ``yz`` +plane (top right), and surface-current magnitude (bottom): + +```@raw html + +``` + The complete runnable example, including the plots, is in `examples/efie.jl`. @@ -67,7 +77,7 @@ wavenumber = frequency * √(permittivity * permeability) operator = Maxwell3D.doublelayer(; wavenumber) excitation = Maxwell3D.planewave(; - direction=ẑ, polarization=x̂, wavenumber + direction=ẑ, polarization=x̂, wavenumber ) magneticfield = -1 / (im * permeability * frequency) * curl(excitation) rhs = assemble((n × magneticfield) × n, testspace) @@ -80,5 +90,15 @@ current, stats = Krylov.gmres( ) ``` +Far-field pattern (top left), scattered electric field magnitude in the ``yz`` +plane (top right), and surface-current magnitude (bottom): + +```@raw html + 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+[[deps.s2n_tls_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "64ae051c6f03044eb7d98027d1b552b4e21e650c" +uuid = "cddc5d3d-934d-5d3a-9747-62fc12ea3f48" +version = "1.7.3+0" diff --git a/examples/efie.jl b/examples/efie.jl index 033f476..4dd7de4 100644 --- a/examples/efie.jl +++ b/examples/efie.jl @@ -22,4 +22,5 @@ current, stats = Krylov.gmres(matrix, rhs; rtol=1.0e-4, itmax=200, history=true, @show stats @show norm(matrix * current - rhs) / norm(rhs) -plotresults(current, space, excitation, wavenumber, joinpath(@__DIR__, "efie_results.html")) +outdir = get(ENV, "CFMM_OUTPUT_DIR", @__DIR__) +plotresults(current, space, excitation, wavenumber, joinpath(outdir, "efie_results.html")) diff --git a/examples/mfie.jl b/examples/mfie.jl index 0a85958..740d2e9 100644 --- a/examples/mfie.jl +++ b/examples/mfie.jl @@ -30,6 +30,7 @@ current, stats = Krylov.gmres(matrix, rhs; rtol=1.0e-4, itmax=200, history=true, @show stats @show norm(matrix * current - rhs) / norm(rhs) +outdir = get(ENV, "CFMM_OUTPUT_DIR", @__DIR__) plotresults( - current, trialspace, excitation, wavenumber, joinpath(@__DIR__, "mfie_results.html") + current, trialspace, excitation, wavenumber, joinpath(outdir, "mfie_results.html") ) diff --git a/ext/CFMMExaFMMt/fmmoptions.jl b/ext/CFMMExaFMMt/fmmoptions.jl index 93209ee..16bdd0b 100644 --- a/ext/CFMMExaFMMt/fmmoptions.jl +++ b/ext/CFMMExaFMMt/fmmoptions.jl @@ -3,15 +3,16 @@ function exafmmoptions( ) where {T<:Val{0}} return LaplaceFMMOptions(; p=fmm.p, ncrit=fmm.ncrit) end -#TODO: Write unit tests for the ModifiedHelmholtzFMMOptions function exafmmoptions( gamma::T, fmm::CorrectionFactorMatrixMethod.ExaFMMtFunctor ) where {T<:Real} + iszero(gamma) && return LaplaceFMMOptions(; p=fmm.p, ncrit=fmm.ncrit) return ModifiedHelmholtzFMMOptions(gamma; p=fmm.p, ncrit=fmm.ncrit) end function exafmmoptions( gamma::T, fmm::CorrectionFactorMatrixMethod.ExaFMMtFunctor ) where {T<:Complex} + iszero(gamma) && return LaplaceFMMOptions(; p=fmm.p, ncrit=fmm.ncrit) return HelmholtzFMMOptions(-gamma / im; p=fmm.p, ncrit=fmm.ncrit) end diff --git a/src/kernelmatrix/abstractcorrectedkernelmatrix.jl b/src/kernelmatrix/abstractcorrectedkernelmatrix.jl index 076c32a..18893b1 100644 --- a/src/kernelmatrix/abstractcorrectedkernelmatrix.jl +++ b/src/kernelmatrix/abstractcorrectedkernelmatrix.jl @@ -2,5 +2,7 @@ abstract type AbstractCorrectedKernelMatrix{T} end function AbstractCorrectedKernelMatrix(operator, testspace, trialspace; args...) end -function (::AbstractCorrectedKernelMatrix)(matrixblock, tdata, sdata) end +function (::AbstractCorrectedKernelMatrix)(matrixblock, tdata, sdata) + return nothing +end Base.eltype(::AbstractCorrectedKernelMatrix{T}) where {T} = T diff --git a/test/CFMMBEAST/test_CFMMBEAST.jl b/test/CFMMBEAST/test_CFMMBEAST.jl index 6fd2fe1..6a5026f 100644 --- a/test/CFMMBEAST/test_CFMMBEAST.jl +++ b/test/CFMMBEAST/test_CFMMBEAST.jl @@ -84,5 +84,7 @@ ) @test matrix isa matrixtype @test size(matrix) == (length(space), length(space)) + @test size(matrix, 1) == length(space) + @test size(matrix, 2) == length(space) end end diff --git a/test/CFMMExaFMMt/test_CFMMExaFMMt.jl b/test/CFMMExaFMMt/test_CFMMExaFMMt.jl index a82abd9..1ad64bb 100644 --- a/test/CFMMExaFMMt/test_CFMMExaFMMt.jl +++ b/test/CFMMExaFMMt/test_CFMMExaFMMt.jl @@ -7,6 +7,10 @@ @test options isa ExaFMMt.FMMOptions @test (options.p, options.ncrit) == (8, 32) + # Helmholtz with wavenumber=0 must reduce to the Laplace path + @test functor(Helmholtz3D.singlelayer(; wavenumber=0.0)) isa ExaFMMt.LaplaceFMMOptions + @test functor(Helmholtz3D.hypersingular(; wavenumber=0.0)) isa ExaFMMt.LaplaceFMMOptions + sources = [0.0 0.0 0.0; 1.0 0.0 0.0] targets = [0.0 1.0 0.0; 1.0 1.0 0.0] fmm = CFM.setup(sources, targets, options) diff --git a/test/runtests.jl b/test/runtests.jl index d2c5a50..6da894e 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -53,4 +53,21 @@ end nothing end +# Warn locally if pre-rendered documentation plots are older than their source. +# Git sets identical mtimes on checkout so this only fires after a local edit. +let + repo = dirname(@__DIR__) + scripts = map( + f -> joinpath(repo, "examples", f), ["efie.jl", "mfie.jl", "plotresults.jl"] + ) + assets = joinpath(repo, "docs", "src", "assets", "examples") + newest = maximum(mtime, scripts) + for name in ["efie_results.html", "mfie_results.html"] + html = joinpath(assets, name) + isfile(html) && + mtime(html) < newest && + @warn "$name may be stale — run: julia --startup-file=no docs/render_examples.jl" + end +end + @run_package_tests verbose = true diff --git a/test/test_core.jl b/test/test_core.jl index d52d715..bcffe0b 100644 --- a/test/test_core.jl +++ b/test/test_core.jl @@ -26,6 +26,10 @@ end struct TestFMMFunctor <: CFM.FMMFunctor end +# Minimal concrete subtype with no callable override — exercises the base stub. +struct MinimalKernelMatrix{T} <: CFM.AbstractCorrectedKernelMatrix{T} end +Base.size(::MinimalKernelMatrix) = (0, 0) + CFM.scalartype(::TestCorrectionOperator) = Float64 function CFM.AbstractCorrectedKernelMatrix( @@ -57,6 +61,9 @@ end beastmatrix = CFM.BEASTCorrectedKernelMatrix{ComplexF64}(assembler, assembler) @test eltype(beastmatrix) == ComplexF64 @test size(beastmatrix) == (3, 4) + @test size(beastmatrix, 1) == 3 + @test size(beastmatrix, 2) == 4 + @test_throws ErrorException size(beastmatrix, 3) testspace = [SVector(x, 0.0, 0.0) for x in 0.0:3.0] trialspace = [SVector(x, 0.0, 0.0) for x in 0.5:1.0:2.5] @@ -94,11 +101,18 @@ end options = CFM.FMMFunctor(; p=10, ncrit=64) @test (options.p, options.ncrit) == (10, 64) @test CFM.defaultminvalues(options) == 64 + @test CFM.defaultminvalues(TestFMMFunctor()) == 50 # base FMMFunctor fallback matrix = [2.0 1.0; -1.0 3.0] vector = [1.0, 2.0] @test CFM.FMM(matrix) * vector == matrix * vector @test transpose(CFM.FMM(matrix, transpose(matrix))) * vector == transpose(matrix) * vector + # Adjoint is not implemented; use complex types to exercise the error branch + # (for real element types LinearMaps silently routes adjoint through transpose) + cmatrix = ComplexF64[2.0 1.0; -1.0 3.0] + cvector = ComplexF64[1.0, 2.0] + @test_throws ErrorException adjoint(CFM.FMM(cmatrix, transpose(cmatrix))) * cvector + @test_throws ErrorException adjoint(CFM.FMM(cmatrix)) * cvector far = LinearMap(matrix) correction = LinearMap([0.5 -0.5; 1.0 0.0]) @@ -108,4 +122,19 @@ end @test cfmm * vector == (far + correction) * vector @test transpose(cfmm) * vector == transpose(far + correction) * vector @test adjoint(cfmm) * vector == adjoint(far + correction) * vector + + # Stubs that error when no extension is loaded — verify the error is thrown. + @test isnothing(CFM.AbstractCorrectedKernelMatrix(nothing, nothing, nothing)) + @test isnothing(MinimalKernelMatrix{Float64}()(nothing, nothing, nothing)) + @test isnothing(CFM.scalartype(nothing)) + @test_throws ErrorException CFM.defaultnearquadstrat(nothing, nothing, nothing) + @test_throws ErrorException CFM.FMMFunctor()(nothing) + @test CFM.alpha(nothing) == 1.0 + @test CFM.beta(nothing) == 1.0 + @test_throws ErrorException CFM.sources(nothing, 2) + @test_throws ErrorException CFM.potentials(Matrix{Float64}(undef, 0, 0), nothing) + @test_throws ErrorException CFM.curlpotentials(Matrix{Float64}(undef, 0, 0), nothing) + @test_throws ErrorException CFM.divpotentials(Matrix{Float64}(undef, 0, 0), nothing) + @test_throws ErrorException CFM.normals(nothing) + @test_throws ErrorException CFM.setup(nothing, nothing, nothing) end diff --git a/test/test_operators.jl b/test/test_operators.jl index b25cb95..acf4847 100644 --- a/test/test_operators.jl +++ b/test/test_operators.jl @@ -22,4 +22,24 @@ dense = assemble(operator, problem.testspace, problem.trialspace) x = ones(ComplexF64, size(matrix, 2)) @test isapprox(matrix * x, dense * x; rtol=problem.tolerance) + + # Static (Laplace, gamma=Val(0)) operators have Float64 scalar type. + # testoperator uses ComplexF64 vectors, triggering the real/complex + # multiplication branch in each HH3D operator. + for operator in ( + Helmholtz3D.singlelayer(), + Helmholtz3D.doublelayer(), + Helmholtz3D.doublelayer_transposed(), + Helmholtz3D.hypersingular(), + ) + testoperator(operator, scalarproblems) + end + + # Single-space convenience form assemble(op, space) + scalar_problem = last(scalarproblems) + square_matrix = CFMM.assemble( + Helmholtz3D.singlelayer(; wavenumber=k), scalar_problem.testspace + ) + @test size(square_matrix) == + (length(scalar_problem.testspace), length(scalar_problem.testspace)) end From 10fa684834a233d02c00e3132d80b3ef7602c189 Mon Sep 17 00:00:00 2001 From: Joshua Tetzner Date: Wed, 1 Jul 2026 16:54:40 +0200 Subject: [PATCH 2/3] Doc plots and \bm removal --- README.md | 2 +- docs/src/assets/examples/efie_results.html | 8 ++++---- docs/src/assets/examples/mfie_results.html | 8 ++++---- docs/src/contributing.md | 2 +- docs/src/details/method.md | 4 ++-- docs/src/details/operators.md | 16 ++++++++-------- examples/efie.jl | 2 +- examples/mfie.jl | 2 +- 8 files changed, 22 insertions(+), 22 deletions(-) diff --git a/README.md b/README.md index 3ce9a0d..9978a2c 100644 --- a/README.md +++ b/README.md @@ -33,7 +33,7 @@ FMM-backed map $A_\mathrm{FMM}$. The near interactions are evaluated with the boundary-element quadrature and corrected for the part already represented by the FMM [1]: -$$\bm{A}\bm{x} \approx \bm{A}_\mathrm{FMM}\,\bm{x} + \left(\bm{A}_\mathrm{near} - \bm{A}_\mathrm{FMM,near}\right)\bm{x}.$$ +$$\boldsymbol{A}\boldsymbol{x} \approx \boldsymbol{A}_\mathrm{FMM}\,\boldsymbol{x} + \left(\boldsymbol{A}_\mathrm{near} - \boldsymbol{A}_\mathrm{FMM,near}\right)\boldsymbol{x}.$$ ## Installation diff --git a/docs/src/assets/examples/efie_results.html b/docs/src/assets/examples/efie_results.html index d8084c7..267716d 100644 --- a/docs/src/assets/examples/efie_results.html +++ b/docs/src/assets/examples/efie_results.html @@ -9,7 +9,7 @@
@@ -17,10 +17,10 @@ window.PLOTLYENV = window.PLOTLYENV || {} - if (document.getElementById('4246411e-aaaf-4fcb-bcaa-6c46d2e6bb0d')) { + if (document.getElementById('5e4a9837-16ce-4be0-ad05-0e99fe968a9e')) { Plotly.newPlot( - '4246411e-aaaf-4fcb-bcaa-6c46d2e6bb0d', - 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{"editable":false,"responsive":true,"staticPlot":false,"scrollZoom":true}, ) diff --git a/docs/src/contributing.md b/docs/src/contributing.md index 2ff7735..9bd2991 100644 --- a/docs/src/contributing.md +++ b/docs/src/contributing.md @@ -53,7 +53,7 @@ Extending to 2D would require: - A 2D `sources` / `potentials` implementation for 1D boundary curves. - Operators for the 2D Helmholtz and Laplace kernels - (``G(\bm{x},\bm{y}) = \tfrac{i}{4} H_0^{(1)}(k|\bm{x}-\bm{y}|)``). + (``G(\boldsymbol{x},\boldsymbol{y}) = \tfrac{i}{4} H_0^{(1)}(k|\boldsymbol{x}-\boldsymbol{y}|)``). - A 2D-capable FMM backend (e.g. FMMLIB2D). ### Additional BEM library integrations diff --git a/docs/src/details/method.md b/docs/src/details/method.md index 5bc936d..b42a219 100644 --- a/docs/src/details/method.md +++ b/docs/src/details/method.md @@ -6,8 +6,8 @@ the boundary-element quadrature and corrected for the interactions already represented by the FMM: ```math -\bm{A}\bm{x} \approx \bm{A}_{\mathrm{FMM}}\bm{x} + -\left(\bm{A}_{\mathrm{near}} - \bm{A}_{\mathrm{FMM,near}}\right)\bm{x}. +\boldsymbol{A}\boldsymbol{x} \approx \boldsymbol{A}_{\mathrm{FMM}}\boldsymbol{x} + +\left(\boldsymbol{A}_{\mathrm{near}} - \boldsymbol{A}_{\mathrm{FMM,near}}\right)\boldsymbol{x}. ``` The sparse correction blocks are selected from an `H2Trees.BlockTree`. diff --git a/docs/src/details/operators.md b/docs/src/details/operators.md index b9b4bff..43f4426 100644 --- a/docs/src/details/operators.md +++ b/docs/src/details/operators.md @@ -16,20 +16,20 @@ functions on triangulated surfaces. The Helmholtz Green's function is ```math -G(\bm{x},\bm{y}) = \frac{e^{ik|\bm{x}-\bm{y}|}}{4\pi|\bm{x}-\bm{y}|}, +G(\boldsymbol{x},\boldsymbol{y}) = \frac{e^{ik|\boldsymbol{x}-\boldsymbol{y}|}}{4\pi|\boldsymbol{x}-\boldsymbol{y}|}, \quad k \in \mathbb{C}. ``` Setting `wavenumber = 0` recovers the Laplace Green's function -``G_0(\bm{x},\bm{y}) = 1/(4\pi|\bm{x}-\bm{y}|)``; the ExaFMMt backend +``G_0(\boldsymbol{x},\boldsymbol{y}) = 1/(4\pi|\boldsymbol{x}-\boldsymbol{y}|)``; the ExaFMMt backend automatically switches to `LaplaceFMMOptions` in that case. | Operator | BEAST constructor | Mathematical form | |:---------|:------------------|:------------------| -| Single-layer (V) | `Helmholtz3D.singlelayer(; wavenumber)` | ``(V u)(\bm{x}) = \int_\Gamma G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | -| Double-layer (K) | `Helmholtz3D.doublelayer(; wavenumber)` | ``(K u)(\bm{x}) = \int_\Gamma \partial_{\bm{n}(\bm{y})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | -| Transposed double-layer (K') | `Helmholtz3D.doublelayer_transposed(; wavenumber)` | ``(K' u)(\bm{x}) = \int_\Gamma \partial_{\bm{n}(\bm{x})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | -| Hypersingular (W) | `Helmholtz3D.hypersingular(; wavenumber)` | ``(W u)(\bm{x}) = -\partial_{\bm{n}(\bm{x})} \int_\Gamma \partial_{\bm{n}(\bm{y})} G(\bm{x},\bm{y})\,u(\bm{y})\,\mathrm{d}S(\bm{y})`` | +| Single-layer (V) | `Helmholtz3D.singlelayer(; wavenumber)` | ``(V u)(\boldsymbol{x}) = \int_\Gamma G(\boldsymbol{x},\boldsymbol{y})\,u(\boldsymbol{y})\,\mathrm{d}S(\boldsymbol{y})`` | +| Double-layer (K) | `Helmholtz3D.doublelayer(; wavenumber)` | ``(K u)(\boldsymbol{x}) = \int_\Gamma \partial_{\boldsymbol{n}(\boldsymbol{y})} G(\boldsymbol{x},\boldsymbol{y})\,u(\boldsymbol{y})\,\mathrm{d}S(\boldsymbol{y})`` | +| Transposed double-layer (K') | `Helmholtz3D.doublelayer_transposed(; wavenumber)` | ``(K' u)(\boldsymbol{x}) = \int_\Gamma \partial_{\boldsymbol{n}(\boldsymbol{x})} G(\boldsymbol{x},\boldsymbol{y})\,u(\boldsymbol{y})\,\mathrm{d}S(\boldsymbol{y})`` | +| Hypersingular (W) | `Helmholtz3D.hypersingular(; wavenumber)` | ``(W u)(\boldsymbol{x}) = -\partial_{\boldsymbol{n}(\boldsymbol{x})} \int_\Gamma \partial_{\boldsymbol{n}(\boldsymbol{y})} G(\boldsymbol{x},\boldsymbol{y})\,u(\boldsymbol{y})\,\mathrm{d}S(\boldsymbol{y})`` | All four operators are tested with `lagrangec0d1` basis functions (Petrov–Galerkin, square systems). Other scalar basis function types may work but are not @@ -43,8 +43,8 @@ functions on triangulated surfaces. | Operator | BEAST constructor | Mathematical form | |:---------|:------------------|:------------------| -| Single-layer / EFIE (T) | `Maxwell3D.singlelayer(; wavenumber)` | ``(\mathcal{T}\bm{u})(\bm{x}) = \alpha\!\int_\Gamma G\,\bm{u}\,\mathrm{d}S + \beta\,\nabla\!\int_\Gamma G\,\nabla_\Gamma\!\cdot\bm{u}\,\mathrm{d}S`` | -| Double-layer / MFIE (K) | `Maxwell3D.doublelayer(; wavenumber)` | ``(\mathcal{K}\bm{u})(\bm{x}) = \int_\Gamma \nabla G(\bm{x},\bm{y})\times\bm{u}(\bm{y})\,\mathrm{d}S(\bm{y})`` | +| Single-layer / EFIE (T) | `Maxwell3D.singlelayer(; wavenumber)` | ``(\mathcal{T}\boldsymbol{u})(\boldsymbol{x}) = \alpha\!\int_\Gamma G\,\boldsymbol{u}\,\mathrm{d}S + \beta\,\nabla\!\int_\Gamma G\,\nabla_\Gamma\!\cdot\boldsymbol{u}\,\mathrm{d}S`` | +| Double-layer / MFIE (K) | `Maxwell3D.doublelayer(; wavenumber)` | ``(\mathcal{K}\boldsymbol{u})(\boldsymbol{x}) = \int_\Gamma \nabla G(\boldsymbol{x},\boldsymbol{y})\times\boldsymbol{u}(\boldsymbol{y})\,\mathrm{d}S(\boldsymbol{y})`` | Both operators are tested with `raviartthomas` basis functions (Petrov–Galerkin, square systems). diff --git a/examples/efie.jl b/examples/efie.jl index 4dd7de4..d9a0c19 100644 --- a/examples/efie.jl +++ b/examples/efie.jl @@ -8,7 +8,7 @@ using PlotlyJS include("plotresults.jl") -mesh = meshsphere(1.0, 0.4) +mesh = meshsphere(1.0, 0.1) space = raviartthomas(mesh) wavenumber = 1.0 diff --git a/examples/mfie.jl b/examples/mfie.jl index 740d2e9..a88b6f4 100644 --- a/examples/mfie.jl +++ b/examples/mfie.jl @@ -8,7 +8,7 @@ using PlotlyJS include("plotresults.jl") -mesh = meshsphere(1.0, 0.4) +mesh = meshsphere(1.0, 0.1) trialspace = raviartthomas(mesh) testspace = buffachristiansen(mesh) From 3d6024728f31481b030571e2af986d2e9570f3cb Mon Sep 17 00:00:00 2001 From: Joshua Tetzner Date: Wed, 1 Jul 2026 17:42:42 +0200 Subject: [PATCH 3/3] Interface change --- README.md | 2 +- docs/src/assets/examples/efie_results.html | 6 +++--- docs/src/assets/examples/mfie_results.html | 6 +++--- docs/src/manual/examples.md | 2 +- examples/efie.jl | 2 +- src/CFMM/assemble.jl | 5 ----- test/test_operators.jl | 9 +++++---- 7 files changed, 14 insertions(+), 18 deletions(-) diff --git a/README.md b/README.md index 9978a2c..1cae8cf 100644 --- a/README.md +++ b/README.md @@ -60,7 +60,7 @@ mesh = meshsphere(1.0, 0.4) space = raviartthomas(mesh) operator = Maxwell3D.singlelayer(; wavenumber=1.0) -matrix = CFMM.assemble(operator, space) +matrix = CFMM.assemble(operator, space, space) result = matrix * rand(scalartype(operator), numfunctions(space)) ``` diff --git a/docs/src/assets/examples/efie_results.html b/docs/src/assets/examples/efie_results.html index 267716d..35d0b91 100644 --- a/docs/src/assets/examples/efie_results.html +++ b/docs/src/assets/examples/efie_results.html @@ -9,7 +9,7 @@
@@ -17,9 +17,9 @@ window.PLOTLYENV = window.PLOTLYENV || {} - if (document.getElementById('5e4a9837-16ce-4be0-ad05-0e99fe968a9e')) { + if (document.getElementById('28a95a29-d23c-4427-88cd-89d8e4a7061a')) { Plotly.newPlot( - '5e4a9837-16ce-4be0-ad05-0e99fe968a9e', + '28a95a29-d23c-4427-88cd-89d8e4a7061a', 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{"editable":false,"responsive":true,"staticPlot":false,"scrollZoom":true}, diff --git a/docs/src/manual/examples.md b/docs/src/manual/examples.md index 8762ce9..fe4b135 100644 --- a/docs/src/manual/examples.md +++ b/docs/src/manual/examples.md @@ -40,7 +40,7 @@ excitation = Maxwell3D.planewave(; ) rhs = assemble((n × excitation) × n, space) -matrix = CFMM.assemble(operator, space) +matrix = CFMM.assemble(operator, space, space) current, stats = Krylov.gmres( matrix, rhs; rtol=1.0e-4, itmax=200, history=true, verbose=1 ) diff --git a/examples/efie.jl b/examples/efie.jl index d9a0c19..27b8790 100644 --- a/examples/efie.jl +++ b/examples/efie.jl @@ -16,7 +16,7 @@ operator = Maxwell3D.singlelayer(; wavenumber) excitation = Maxwell3D.planewave(; direction=ẑ, polarization=x̂, wavenumber) rhs = assemble((n × excitation) × n, space) -matrix = CFMM.assemble(operator, space) +matrix = CFMM.assemble(operator, space, space) current, stats = Krylov.gmres(matrix, rhs; rtol=1.0e-4, itmax=200, history=true, verbose=1) @show stats diff --git a/src/CFMM/assemble.jl b/src/CFMM/assemble.jl index 3230458..502a841 100644 --- a/src/CFMM/assemble.jl +++ b/src/CFMM/assemble.jl @@ -20,7 +20,6 @@ using ..CorrectionFactorMatrixMethod: """ assemble(operator, testspace, trialspace; kwargs...) - assemble(operator, space; kwargs...) Assemble a matrix-free correction-factor FMM operator. @@ -59,8 +58,4 @@ function assemble( ) end -function assemble(operator, space; kwargs...) - return assemble(operator, space, space; kwargs...) -end - end diff --git a/test/test_operators.jl b/test/test_operators.jl index acf4847..6119261 100644 --- a/test/test_operators.jl +++ b/test/test_operators.jl @@ -35,11 +35,12 @@ testoperator(operator, scalarproblems) end - # Single-space convenience form assemble(op, space) + # Matching spaces use the symmetric FMM. scalar_problem = last(scalarproblems) + operator = Helmholtz3D.singlelayer(; wavenumber=k) square_matrix = CFMM.assemble( - Helmholtz3D.singlelayer(; wavenumber=k), scalar_problem.testspace + operator, scalar_problem.testspace, scalar_problem.testspace ) - @test size(square_matrix) == - (length(scalar_problem.testspace), length(scalar_problem.testspace)) + @test square_matrix.fmm.fmm isa CorrectionFactorMatrixMethod.SymmetricFMM + @test_throws MethodError CFMM.assemble(operator, scalar_problem.testspace) end