internal/ceres/small_blas_gemv_benchmark.cc

// Ceres Solver - A fast non-linear least squares minimizer
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// Authors: sameeragarwal@google.com (Sameer Agarwal)

#include "Eigen/Dense"
#include "benchmark/benchmark.h"
#include "ceres/small_blas.h"

namespace ceres {

// Benchmarking matrix-vector 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 and vectors. 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 matrix creates such
// matrix and vector objects for use in the benchmark.
class MatrixVectorMultiplyData {
 public:
  MatrixVectorMultiplyData(int rows, int cols)
      : num_elements_(1000),
        rows_(rows),
        cols_(cols),
        a_(num_elements_ * rows, 1.001),
        b_(num_elements_ * rows * cols, 1.5),
        c_(num_elements_ * cols, 1.00003) {}

  int num_elements() const { return num_elements_; }
  double* GetA(int i) { return &a_[i * rows_]; }
  double* GetB(int i) { return &b_[i * rows_ * cols_]; }
  double* GetC(int i) { return &c_[i * cols_]; }

 private:
  const int num_elements_;
  const int rows_;
  const int cols_;
  std::vector<double> a_;
  std::vector<double> b_;
  std::vector<double> c_;
};

// Helper function to generate the various matrix sizes for which we
// run the benchmark.
const auto MatrixSizeArguments = [](auto* benchmark) {
  std::vector<int> rows = {1, 2, 3, 4, 6, 8};
  std::vector<int> cols = {1, 2, 3, 4, 8, 12, 15};
  for (int r : rows) {
    for (int c : cols) {
      benchmark->Args({r, c});
    }
  }
};

static void
BM_MatrixVectorMultiply(benchmark::State & state) {
  const int rows = state.range(0);
  const int cols = state.range(1);
  MatrixVectorMultiplyData data(rows, cols);
  const int num_elements = data.num_elements();
  int iter = 0;
  for (auto _ : state) {
    // A += B * C;
    internal::MatrixVectorMultiply<Eigen::Dynamic, Eigen::Dynamic, 1>(
        data.GetB(iter), rows, cols, data.GetC(iter), data.GetA(iter));
    iter = (iter + 1) % num_elements;
  }
}

BENCHMARK(BM_MatrixVectorMultiply)->Apply(MatrixSizeArguments);

static void BM_MatrixTransposeVectorMultiply(benchmark::State& state) {
  const int rows = state.range(0);
  const int cols = state.range(1);
  MatrixVectorMultiplyData data(cols, rows);
  const int num_elements = data.num_elements();
  int iter = 0;
  for (auto _ : state) {
    internal::MatrixTransposeVectorMultiply<Eigen::Dynamic, Eigen::Dynamic, 1>(
        data.GetB(iter), rows, cols, data.GetC(iter), data.GetA(iter));
    iter = (iter + 1) % num_elements;
  }
}

BENCHMARK(BM_MatrixTransposeVectorMultiply)->Apply(MatrixSizeArguments);

}  // namespace ceres

BENCHMARK_MAIN();