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47 lines
1.8 KiB
C++
47 lines
1.8 KiB
C++
// Benchmarks for triangular matrix-vector product (TRMV).
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//
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// Tests y += triangularView(A) * x for various modes and sizes.
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// Exercises TriangularMatrixVector.h kernel.
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#include <benchmark/benchmark.h>
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#include <Eigen/Core>
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using namespace Eigen;
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template <typename Scalar>
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double trmvFlops(Index n) {
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// TRMV: ~n^2 multiply-adds
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return (NumTraits<Scalar>::IsComplex ? 8.0 : 2.0) * n * n;
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}
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// y = triangularView<Mode>(A) * x
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template <typename Scalar, unsigned int Mode>
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static void BM_TRMV(benchmark::State& state) {
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const Index n = state.range(0);
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using Mat = Matrix<Scalar, Dynamic, Dynamic>;
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using Vec = Matrix<Scalar, Dynamic, 1>;
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Mat A = Mat::Random(n, n);
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Vec x = Vec::Random(n);
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Vec y(n);
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for (auto _ : state) {
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y.noalias() = A.template triangularView<Mode>() * x;
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benchmark::DoNotOptimize(y.data());
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benchmark::ClobberMemory();
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}
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state.counters["GFLOPS"] = benchmark::Counter(trmvFlops<Scalar>(n), benchmark::Counter::kIsIterationInvariantRate,
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benchmark::Counter::kIs1000);
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}
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static void TrmvSizes(::benchmark::Benchmark* b) {
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for (int n : {8, 16, 32, 64, 128, 256, 512, 1024, 2048}) b->Arg(n);
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}
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BENCHMARK(BM_TRMV<float, Lower>)->Apply(TrmvSizes)->Name("TRMV_float_Lower");
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BENCHMARK(BM_TRMV<float, Upper>)->Apply(TrmvSizes)->Name("TRMV_float_Upper");
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BENCHMARK(BM_TRMV<float, UnitLower>)->Apply(TrmvSizes)->Name("TRMV_float_UnitLower");
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BENCHMARK(BM_TRMV<float, UnitUpper>)->Apply(TrmvSizes)->Name("TRMV_float_UnitUpper");
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BENCHMARK(BM_TRMV<double, Lower>)->Apply(TrmvSizes)->Name("TRMV_double_Lower");
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BENCHMARK(BM_TRMV<double, Upper>)->Apply(TrmvSizes)->Name("TRMV_double_Upper");
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BENCHMARK(BM_TRMV<double, UnitLower>)->Apply(TrmvSizes)->Name("TRMV_double_UnitLower");
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BENCHMARK(BM_TRMV<double, UnitUpper>)->Apply(TrmvSizes)->Name("TRMV_double_UnitUpper");
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