internal/ceres/partitioned_matrix_view_test.cc

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

#include "ceres/partitioned_matrix_view.h"

#include <memory>
#include <vector>
#include "ceres/block_structure.h"
#include "ceres/casts.h"
#include "ceres/internal/eigen.h"
#include "ceres/linear_least_squares_problems.h"
#include "ceres/random.h"
#include "ceres/sparse_matrix.h"
#include "glog/logging.h"
#include "gtest/gtest.h"

namespace ceres {
namespace internal {

const double kEpsilon = 1e-14;

class PartitionedMatrixViewTest : public ::testing::Test {
 protected :
  void SetUp() final {
    srand(5);
    std::unique_ptr<LinearLeastSquaresProblem> problem(
        CreateLinearLeastSquaresProblemFromId(2));
    CHECK(problem != nullptr);
    A_.reset(problem->A.release());

    num_cols_ = A_->num_cols();
    num_rows_ = A_->num_rows();
    num_eliminate_blocks_ = problem->num_eliminate_blocks;
    LinearSolver::Options options;
    options.elimination_groups.push_back(num_eliminate_blocks_);
    pmv_.reset(PartitionedMatrixViewBase::Create(
                   options,
                   *down_cast<BlockSparseMatrix*>(A_.get())));
  }

  int num_rows_;
  int num_cols_;
  int num_eliminate_blocks_;
  std::unique_ptr<SparseMatrix> A_;
  std::unique_ptr<PartitionedMatrixViewBase> pmv_;
};

TEST_F(PartitionedMatrixViewTest, DimensionsTest) {
  EXPECT_EQ(pmv_->num_col_blocks_e(), num_eliminate_blocks_);
  EXPECT_EQ(pmv_->num_col_blocks_f(), num_cols_ - num_eliminate_blocks_);
  EXPECT_EQ(pmv_->num_cols_e(), num_eliminate_blocks_);
  EXPECT_EQ(pmv_->num_cols_f(), num_cols_ - num_eliminate_blocks_);
  EXPECT_EQ(pmv_->num_cols(), A_->num_cols());
  EXPECT_EQ(pmv_->num_rows(), A_->num_rows());
}

TEST_F(PartitionedMatrixViewTest, RightMultiplyE) {
  Vector x1(pmv_->num_cols_e());
  Vector x2(pmv_->num_cols());
  x2.setZero();

  for (int i = 0; i < pmv_->num_cols_e(); ++i) {
    x1(i) = x2(i) = RandDouble();
  }

  Vector y1 = Vector::Zero(pmv_->num_rows());
  pmv_->RightMultiplyE(x1.data(), y1.data());

  Vector y2 = Vector::Zero(pmv_->num_rows());
  A_->RightMultiply(x2.data(), y2.data());

  for (int i = 0; i < pmv_->num_rows(); ++i) {
    EXPECT_NEAR(y1(i), y2(i), kEpsilon);
  }
}

TEST_F(PartitionedMatrixViewTest, RightMultiplyF) {
  Vector x1(pmv_->num_cols_f());
  Vector x2 = Vector::Zero(pmv_->num_cols());

  for (int i = 0; i < pmv_->num_cols_f(); ++i) {
    x1(i) = RandDouble();
    x2(i + pmv_->num_cols_e()) = x1(i);
  }

  Vector y1 = Vector::Zero(pmv_->num_rows());
  pmv_->RightMultiplyF(x1.data(), y1.data());

  Vector y2 = Vector::Zero(pmv_->num_rows());
  A_->RightMultiply(x2.data(), y2.data());

  for (int i = 0; i < pmv_->num_rows(); ++i) {
    EXPECT_NEAR(y1(i), y2(i), kEpsilon);
  }
}

TEST_F(PartitionedMatrixViewTest, LeftMultiply) {
  Vector x = Vector::Zero(pmv_->num_rows());
  for (int i = 0; i < pmv_->num_rows(); ++i) {
    x(i) = RandDouble();
  }

  Vector y = Vector::Zero(pmv_->num_cols());
  Vector y1 = Vector::Zero(pmv_->num_cols_e());
  Vector y2 = Vector::Zero(pmv_->num_cols_f());

  A_->LeftMultiply(x.data(), y.data());
  pmv_->LeftMultiplyE(x.data(), y1.data());
  pmv_->LeftMultiplyF(x.data(), y2.data());

  for (int i = 0; i < pmv_->num_cols(); ++i) {
    EXPECT_NEAR(y(i),
                (i < pmv_->num_cols_e()) ? y1(i) : y2(i - pmv_->num_cols_e()),
                kEpsilon);
  }
}

TEST_F(PartitionedMatrixViewTest, BlockDiagonalEtE) {
  std::unique_ptr<BlockSparseMatrix>
      block_diagonal_ee(pmv_->CreateBlockDiagonalEtE());
  const CompressedRowBlockStructure* bs  = block_diagonal_ee->block_structure();

  EXPECT_EQ(block_diagonal_ee->num_rows(), 2);
  EXPECT_EQ(block_diagonal_ee->num_cols(), 2);
  EXPECT_EQ(bs->cols.size(), 2);
  EXPECT_EQ(bs->rows.size(), 2);

  EXPECT_NEAR(block_diagonal_ee->values()[0], 10.0, kEpsilon);
  EXPECT_NEAR(block_diagonal_ee->values()[1], 155.0, kEpsilon);
}

TEST_F(PartitionedMatrixViewTest, BlockDiagonalFtF) {
  std::unique_ptr<BlockSparseMatrix>
      block_diagonal_ff(pmv_->CreateBlockDiagonalFtF());
  const CompressedRowBlockStructure* bs  = block_diagonal_ff->block_structure();

  EXPECT_EQ(block_diagonal_ff->num_rows(), 3);
  EXPECT_EQ(block_diagonal_ff->num_cols(), 3);
  EXPECT_EQ(bs->cols.size(), 3);
  EXPECT_EQ(bs->rows.size(), 3);
  EXPECT_NEAR(block_diagonal_ff->values()[0], 70.0, kEpsilon);
  EXPECT_NEAR(block_diagonal_ff->values()[1], 17.0, kEpsilon);
  EXPECT_NEAR(block_diagonal_ff->values()[2], 37.0, kEpsilon);
}

}  // namespace internal
}  // namespace ceres