internal/ceres/block_random_access_diagonal_matrix.cc

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

#include "ceres/block_random_access_diagonal_matrix.h"

#include <algorithm>
#include <memory>
#include <set>
#include <utility>
#include <vector>

#include "Eigen/Dense"
#include "absl/log/check.h"
#include "ceres/compressed_row_sparse_matrix.h"
#include "ceres/internal/export.h"
#include "ceres/parallel_for.h"
#include "ceres/parallel_vector_ops.h"
#include "ceres/stl_util.h"
#include "ceres/types.h"

namespace ceres::internal {

BlockRandomAccessDiagonalMatrix::BlockRandomAccessDiagonalMatrix(
    const std::vector<Block>& blocks, ContextImpl* context, int num_threads)
    : context_(context), num_threads_(num_threads) {
  m_ = CompressedRowSparseMatrix::CreateBlockDiagonalMatrix(nullptr, blocks);
  double* values = m_->mutable_values();
  layout_ = std::make_unique<CellInfo[]>(blocks.size());
  for (int i = 0; i < blocks.size(); ++i) {
    layout_[i].values = values;
    values += blocks[i].size * blocks[i].size;
  }
}

CellInfo* BlockRandomAccessDiagonalMatrix::GetCell(int row_block_id,
                                                   int col_block_id,
                                                   int* row,
                                                   int* col,
                                                   int* row_stride,
                                                   int* col_stride) {
  if (row_block_id != col_block_id) {
    return nullptr;
  }

  auto& blocks = m_->row_blocks();
  const int stride = blocks[row_block_id].size;

  // Each cell is stored contiguously as its own little dense matrix.
  *row = 0;
  *col = 0;
  *row_stride = stride;
  *col_stride = stride;
  return &layout_[row_block_id];
}

// Assume that the user does not hold any locks on any cell blocks
// when they are calling SetZero.
void BlockRandomAccessDiagonalMatrix::SetZero() {
  ParallelSetZero(
      context_, num_threads_, m_->mutable_values(), m_->num_nonzeros());
}

void BlockRandomAccessDiagonalMatrix::Invert() {
  auto& blocks = m_->row_blocks();
  const int num_blocks = blocks.size();
  ParallelFor(context_, 0, num_blocks, num_threads_, [this, blocks](int i) {
    auto& cell_info = layout_[i];
    auto& block = blocks[i];
    MatrixRef b(cell_info.values, block.size, block.size);
    b = b.selfadjointView<Eigen::Upper>().llt().solve(
        Matrix::Identity(block.size, block.size));
  });
}

void BlockRandomAccessDiagonalMatrix::RightMultiplyAndAccumulate(
    const double* x, double* y) const {
  CHECK(x != nullptr);
  CHECK(y != nullptr);
  auto& blocks = m_->row_blocks();
  const int num_blocks = blocks.size();
  ParallelFor(
      context_, 0, num_blocks, num_threads_, [this, blocks, x, y](int i) {
        auto& cell_info = layout_[i];
        auto& block = blocks[i];
        ConstMatrixRef b(cell_info.values, block.size, block.size);
        VectorRef(y + block.position, block.size).noalias() +=
            b * ConstVectorRef(x + block.position, block.size);
      });
}

}  // namespace ceres::internal