internal/ceres/dense_cholesky_test.cc

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

#include "ceres/dense_cholesky.h"

#include <memory>
#include <numeric>
#include <string>
#include <vector>

#include "Eigen/Dense"
#include "ceres/internal/config.h"
#include "ceres/internal/eigen.h"
#include "ceres/linear_solver.h"
#include "glog/logging.h"
#include "gmock/gmock.h"
#include "gtest/gtest.h"

namespace ceres::internal {


using Param =
    ::testing::tuple<DenseLinearAlgebraLibraryType, bool>;
constexpr bool kMixedPrecision = true;
constexpr bool kFullPrecision = false;

namespace {

std::string ParamInfoToString(testing::TestParamInfo<Param> info) {
  Param param = info.param;
  std::stringstream ss;
  ss << DenseLinearAlgebraLibraryTypeToString(::testing::get<0>(param)) << "_"
     << (::testing::get<1>(param) ? "MixedPrecision" : "FullPrecision");
  return ss.str();
}
}  // namespace

class DenseCholeskyTest : public ::testing::TestWithParam<Param> {};

TEST_P(DenseCholeskyTest, FactorAndSolve) {
  // TODO(sameeragarwal): Convert these tests into type parameterized tests so
  // that we can test the single and double precision solvers.

  using Scalar = double;
  using MatrixType = Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic>;
  using VectorType = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>;

  LinearSolver::Options options;
  ContextImpl context;
  options.context = &context;
  options.dense_linear_algebra_library_type = ::testing::get<0>(GetParam());
  options.use_mixed_precision_solves = ::testing::get<1>(GetParam());
  const int kNumRefinementSteps = 4;
  if (options.use_mixed_precision_solves) {
    options.max_num_refinement_iterations = kNumRefinementSteps;
  }
  std::unique_ptr<DenseCholesky> dense_cholesky =
      DenseCholesky::Create(options);

  const int kNumTrials = 10;
  const int kMinNumCols = 1;
  const int kMaxNumCols = 10;
  for (int num_cols = kMinNumCols; num_cols < kMaxNumCols; ++num_cols) {
    for (int trial = 0; trial < kNumTrials; ++trial) {
      const MatrixType a = MatrixType::Random(num_cols, num_cols);
      MatrixType lhs = a.transpose() * a;
      lhs += VectorType::Ones(num_cols).asDiagonal();
      Vector x = VectorType::Random(num_cols);
      Vector rhs = lhs * x;
      Vector actual = Vector::Random(num_cols);

      LinearSolver::Summary summary;
      summary.termination_type = dense_cholesky->FactorAndSolve(
          num_cols, lhs.data(), rhs.data(), actual.data(), &summary.message);
      EXPECT_EQ(summary.termination_type, LinearSolverTerminationType::SUCCESS);
      EXPECT_NEAR((x - actual).norm() / x.norm(),
                  0.0,
                  std::numeric_limits<double>::epsilon() * 10)
          << "\nexpected: " << x.transpose()
          << "\nactual  : " << actual.transpose();
    }
  }
}

INSTANTIATE_TEST_SUITE_P(
    EigenCholesky,
    DenseCholeskyTest,
    ::testing::Combine(::testing::Values(EIGEN),
                       ::testing::Values(kFullPrecision)),
    ParamInfoToString);
#ifndef CERES_NO_LAPACK
INSTANTIATE_TEST_SUITE_P(
    LapackCholesky,
    DenseCholeskyTest,
    ::testing::Combine(::testing::Values(LAPACK),
                       ::testing::Values(kFullPrecision)),
    ParamInfoToString);
#endif
#ifndef CERES_NO_CUDA
INSTANTIATE_TEST_SUITE_P(
    CudaCholesky,
    DenseCholeskyTest,
    ::testing::Combine(::testing::Values(CUDA),
                       ::testing::Values(kMixedPrecision,
                                         kFullPrecision)),
    ParamInfoToString);
#endif

TEST(DenseCholesky, ValidMixedPrecisionOptions) {
#ifndef CERES_NO_CUDA
  {
    // Dense Cholesky with CUDA: okay, supported.
    ContextImpl context;
    LinearSolver::Options options;
    options.dense_linear_algebra_library_type = CUDA;
    options.use_mixed_precision_solves = true;
    options.context = &context;
    std::unique_ptr<DenseCholesky> dense_cholesky =
        DenseCholesky::Create(options);
    EXPECT_NE(dense_cholesky, nullptr);
  }
#endif
}

TEST(DenseCholesky, InvalidMixedPrecisionOptions) {
  {
    // Dense Cholesky with Eigen: not supported
    ContextImpl context;
    LinearSolver::Options options;
    options.dense_linear_algebra_library_type = EIGEN;
    options.use_mixed_precision_solves = true;
    options.context = &context;
    std::unique_ptr<DenseCholesky> dense_cholesky =
        DenseCholesky::Create(options);
    EXPECT_EQ(dense_cholesky, nullptr);
  }

  {
    // Dense Cholesky with Lapack: not supported
    ContextImpl context;
    LinearSolver::Options options;
    options.dense_linear_algebra_library_type = LAPACK;
    options.use_mixed_precision_solves = true;
    options.context = &context;
    std::unique_ptr<DenseCholesky> dense_cholesky =
        DenseCholesky::Create(options);
    EXPECT_EQ(dense_cholesky, nullptr);
  }
}

}  // namespace ceres::internal