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- // Ceres Solver - A fast non-linear least squares minimizer
- // Copyright 2023 Google Inc. All rights reserved.
- // http://ceres-solver.org/
- //
- // Redistribution and use in source and binary forms, with or without
- // modification, are permitted provided that the following conditions are met:
- //
- // * Redistributions of source code must retain the above copyright notice,
- // this list of conditions and the following disclaimer.
- // * Redistributions in binary form must reproduce the above copyright notice,
- // this list of conditions and the following disclaimer in the documentation
- // and/or other materials provided with the distribution.
- // * Neither the name of Google Inc. nor the names of its contributors may be
- // used to endorse or promote products derived from this software without
- // specific prior written permission.
- //
- // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- // POSSIBILITY OF SUCH DAMAGE.
- //
- // Authors: sameeragarwal@google.com (Sameer Agarwal)
- #include <iostream>
- #include "Eigen/Dense"
- #include "benchmark/benchmark.h"
- #include "ceres/small_blas.h"
- namespace ceres::internal {
- // Benchmarking matrix-matrix multiply routines and optimizing memory
- // access requires that we make sure that they are not just sitting in
- // the cache. So, as the benchmarking routine iterates, we need to
- // multiply new/different matrice. Allocating/creating these objects
- // in the benchmarking loop is too heavy duty, so we create them
- // before hand and cycle through them in the benchmark. This class,
- // given the size of the matrices creates such objects for use in the
- // benchmark.
- class MatrixMatrixMultiplyData {
- public:
- MatrixMatrixMultiplyData(
- int a_rows, int a_cols, int b_rows, int b_cols, int c_rows, int c_cols)
- : num_elements_(1000),
- a_size_(num_elements_ * a_rows * a_cols),
- b_size_(b_rows * b_cols),
- c_size_(c_rows * c_cols),
- a_(num_elements_ * a_size_, 1.00001),
- b_(num_elements_ * b_size_, 0.5),
- c_(num_elements_ * c_size_, -1.1) {}
- int num_elements() const { return num_elements_; }
- double* GetA(int i) { return &a_[i * a_size_]; }
- double* GetB(int i) { return &b_[i * b_size_]; }
- double* GetC(int i) { return &c_[i * c_size_]; }
- private:
- int num_elements_;
- int a_size_;
- int b_size_;
- int c_size_;
- std::vector<double> a_;
- std::vector<double> b_;
- std::vector<double> c_;
- };
- #define GEMM_KIND_EQ 0
- #define GEMM_KIND_ADD 1
- #define GEMM_KIND_SUB -1
- #define BENCHMARK_MM_FN(FN, M, N, K, NAME, MT, NT, KT) \
- void static BM_##FN##_##NAME##_##M##x##N##x##K(benchmark::State& state) { \
- const int b_rows = M; \
- const int b_cols = N; \
- const int c_rows = b_cols; \
- const int c_cols = K; \
- const int a_rows = b_rows; \
- const int a_cols = c_cols; \
- MatrixMatrixMultiplyData data( \
- a_rows, a_cols, b_rows, b_cols, c_rows, c_cols); \
- const int num_elements = data.num_elements(); \
- int iter = 0; \
- for (auto _ : state) { \
- FN<MT, KT, KT, NT, GEMM_KIND_ADD>(data.GetB(iter), \
- b_rows, \
- b_cols, \
- data.GetC(iter), \
- c_rows, \
- c_cols, \
- data.GetA(iter), \
- 512, \
- 512, \
- a_rows, \
- a_cols); \
- iter = (iter + 1) % num_elements; \
- } \
- } \
- BENCHMARK(BM_##FN##_##NAME##_##M##x##N##x##K);
- #define BENCHMARK_STATIC_MM_FN(FN, M, N, K) \
- BENCHMARK_MM_FN(FN, M, N, K, Static, M, N, K)
- #define BENCHMARK_DYNAMIC_MM_FN(FN, M, N, K) \
- BENCHMARK_MM_FN( \
- FN, M, N, K, Dynamic, Eigen::Dynamic, Eigen::Dynamic, Eigen::Dynamic)
- #define BENCHMARK_MTM_FN(FN, M, N, K, NAME, MT, NT, KT) \
- void static BM_##FN##_##NAME##_##M##x##N##x##K(benchmark::State& state) { \
- const int b_rows = M; \
- const int b_cols = N; \
- const int c_rows = b_rows; \
- const int c_cols = K; \
- const int a_rows = b_cols; \
- const int a_cols = c_cols; \
- MatrixMatrixMultiplyData data( \
- a_rows, a_cols, b_rows, b_cols, c_rows, c_cols); \
- const int num_elements = data.num_elements(); \
- int iter = 0; \
- for (auto _ : state) { \
- FN<KT, MT, KT, NT, GEMM_KIND_ADD>(data.GetB(iter), \
- b_rows, \
- b_cols, \
- data.GetC(iter), \
- c_rows, \
- c_cols, \
- data.GetA(iter), \
- 0, \
- 0, \
- a_rows, \
- a_cols); \
- iter = (iter + 1) % num_elements; \
- } \
- } \
- BENCHMARK(BM_##FN##_##NAME##_##M##x##N##x##K);
- #define BENCHMARK_STATIC_MMT_FN(FN, M, N, K) \
- BENCHMARK_MTM_FN(FN, M, N, K, Static, M, N, K)
- #define BENCHMARK_DYNAMIC_MMT_FN(FN, M, N, K) \
- BENCHMARK_MTM_FN( \
- FN, M, N, K, Dynamic, Eigen::Dynamic, Eigen::Dynamic, Eigen::Dynamic)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 2, 3, 4)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 3, 3, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 4, 4, 4)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 8, 8, 8)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 9, 9, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 9, 3, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyEigen, 3, 9, 9)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 2, 3, 4)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 3, 3, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 4, 4, 4)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 8, 8, 8)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 9, 9, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 9, 3, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyEigen, 3, 9, 9)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 2, 3, 4)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 3, 3, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 4, 4, 4)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 8, 8, 8)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 9, 9, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 9, 3, 3)
- BENCHMARK_STATIC_MM_FN(MatrixMatrixMultiplyNaive, 3, 9, 9)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 2, 3, 4)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 3, 3, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 4, 4, 4)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 8, 8, 8)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 9, 9, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 9, 3, 3)
- BENCHMARK_DYNAMIC_MM_FN(MatrixMatrixMultiplyNaive, 3, 9, 9)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 2, 3, 4)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 3, 3, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 4, 4, 4)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 8, 8, 8)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 9, 9, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 9, 3, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 3, 9, 9)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 2, 3, 4)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 3, 3, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 4, 4, 4)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 8, 8, 8)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 9, 9, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 9, 3, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyEigen, 3, 9, 9)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 2, 3, 4)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 3, 3, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 4, 4, 4)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 8, 8, 8)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 9, 9, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 9, 3, 3)
- BENCHMARK_STATIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 3, 9, 9)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 2, 3, 4)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 3, 3, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 4, 4, 4)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 8, 8, 8)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 9, 9, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 9, 3, 3)
- BENCHMARK_DYNAMIC_MMT_FN(MatrixTransposeMatrixMultiplyNaive, 3, 9, 9)
- #undef GEMM_KIND_EQ
- #undef GEMM_KIND_ADD
- #undef GEMM_KIND_SUB
- #undef BENCHMARK_MM_FN
- #undef BENCHMARK_STATIC_MM_FN
- #undef BENCHMARK_DYNAMIC_MM_FN
- #undef BENCHMARK_MTM_FN
- #undef BENCHMARK_DYNAMIC_MMT_FN
- #undef BENCHMARK_STATIC_MMT_FN
- } // namespace ceres::internal
- BENCHMARK_MAIN();
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