rotgen/test/unit/free_functions/arithmetic_functions.cpp

//==================================================================================================
/*
  ROTGEN - Runtime Overlay for Eigen
  Copyright : CODE RECKONS
  SPDX-License-Identifier: BSL-1.0
*/
//==================================================================================================
#define TTS_MAIN
#include <rotgen/matrix.hpp>
#include "tts.hpp"
#include <Eigen/Dense>
#include "rotgen/functions.hpp"

template <typename MatrixType>
struct MatrixDescriptor
{
  std::size_t rows, cols;
  std::function<void(MatrixType &, std::size_t, std::size_t)> init_fn;
};

template <typename MatrixType>
void test_matrix_unary_ops(std::size_t rows, std::size_t cols,
                           const std::function<void(MatrixType &, std::size_t, std::size_t)> &init_fn)
{

  MatrixType original(rows, cols);
  MatrixType transposed_matrix(cols, rows);

  for (std::size_t r = 0; r < rows; ++r)
    for (std::size_t c = 0; c < cols; ++c)
      init_fn(original, r, c);

  for (std::size_t r = 0; r < rows; ++r)
    for (std::size_t c = 0; c < cols; ++c)
      transposed_matrix(c, r) = original(r, c);

  TTS_EQUAL(rotgen::transpose(original), transposed_matrix);
  TTS_EQUAL(rotgen::conjugate(original), original);
  TTS_EQUAL(rotgen::adjoint(original), transposed_matrix);

  rotgen::transposeInPlace(original);
  TTS_EQUAL(original, transposed_matrix);

  rotgen::transposeInPlace(original);
  rotgen::adjointInPlace(original);
  TTS_EQUAL(original, transposed_matrix);
}

template <typename MatrixType>
void test_matrix_scalar_reductions(std::size_t rows, std::size_t cols,
                                   const std::function<void(MatrixType&, std::size_t, std::size_t)>& init_fn)
{
  using EigenMatrix = Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic>;

  MatrixType original(rows, cols);
  EigenMatrix ref(rows, cols);

  for (std::size_t r = 0; r < rows; ++r)
    for (std::size_t c = 0; c < cols; ++c)
    {
      init_fn(original, r, c);
      ref(r, c) = original(r, c);
    }

  TTS_EQUAL(rotgen::sum(original), ref.sum());
  TTS_EQUAL(rotgen::prod(original), ref.prod());
  TTS_EQUAL(rotgen::mean(original), ref.mean());
  TTS_EQUAL(rotgen::maxCoeff(original), ref.maxCoeff());
  TTS_EQUAL(rotgen::minCoeff(original), ref.minCoeff());
  TTS_EQUAL(rotgen::trace(original), ref.trace());

  std::ptrdiff_t row, col, ref_row, ref_col;

  double cmin = rotgen::minCoeff(original, &row, &col);
  double rmin = ref.minCoeff(&ref_row, &ref_col);

  TTS_EQUAL(cmin, rmin);
  TTS_EQUAL(row, ref_row);
  TTS_EQUAL(col, ref_col);

  double cmax = rotgen::maxCoeff(original, &row, &col);
  double rmax = ref.maxCoeff(&ref_row, &ref_col);

  TTS_EQUAL(cmax, rmax);
  TTS_EQUAL(row, ref_row);
  TTS_EQUAL(col, ref_col);
}

TTS_CASE("Matrix unary operations: transpose, adjoint, conjugate")
{
  std::vector<MatrixDescriptor<rotgen::matrix<double>>> test_matrices = {
      {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = r + 3 * c - 2.5; }},
      {4, 9, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = r*r + 3.12 * c + 6.87; }},
      {2, 7, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 1.1 * (r - c); }},
      {1, 5, [](auto &m, std::size_t r, std::size_t c) { m(r, c) = 9.99; }},
      {4, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 0.0; }},
      {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r == c) ? 1.0 : 0.0; }},
      {2, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r + c) * 1e-10; }},
      {2, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r + 1) * 1e+10; }},
  };

  for (auto const &desc : test_matrices)
    test_matrix_unary_ops<rotgen::matrix<double>>(desc.rows, desc.cols, desc.init_fn);
};

TTS_CASE("Basic arithmetic reduction operations")
{
  std::vector<MatrixDescriptor<rotgen::matrix<double>>> test_matrices = {
    {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = r + c; }},
    {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 0.0; }},
    {2, 4, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = -r -c*c - 1234; }},
    {4, 4, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 7.0; }},
    {1, 1, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 42.0; }},
    {4, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = std::sin(r + c); }},
    {1, 5, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = -1.5 * r + 2.56 * c; }},
    {5, 7, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r == c ? 1.0 : 0.0); }},
  };

  for (const auto& [rows, cols, init_fn] : test_matrices)
    test_matrix_scalar_reductions<rotgen::matrix<double>>(rows, cols, init_fn);
};