internal/ceres/schur_jacobi_preconditioner.cc

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

#include "ceres/schur_jacobi_preconditioner.h"

#include <memory>
#include <utility>
#include <vector>

#include "absl/log/check.h"
#include "ceres/block_random_access_diagonal_matrix.h"
#include "ceres/block_sparse_matrix.h"
#include "ceres/linear_solver.h"
#include "ceres/schur_eliminator.h"

namespace ceres::internal {

SchurJacobiPreconditioner::SchurJacobiPreconditioner(
    const CompressedRowBlockStructure& bs, Preconditioner::Options options)
    : options_(std::move(options)) {
  CHECK_GT(options_.elimination_groups.size(), 1);
  CHECK_GT(options_.elimination_groups[0], 0);
  const int num_blocks = bs.cols.size() - options_.elimination_groups[0];
  CHECK_GT(num_blocks, 0) << "Jacobian should have at least 1 f_block for "
                          << "SCHUR_JACOBI preconditioner.";
  CHECK(options_.context != nullptr);

  std::vector<Block> blocks(num_blocks);
  int position = 0;
  for (int i = 0; i < num_blocks; ++i) {
    blocks[i] =
        Block(bs.cols[i + options_.elimination_groups[0]].size, position);
    position += blocks[i].size;
  }

  m_ = std::make_unique<BlockRandomAccessDiagonalMatrix>(
      blocks, options_.context, options_.num_threads);
  InitEliminator(bs);
}

SchurJacobiPreconditioner::~SchurJacobiPreconditioner() = default;

// Initialize the SchurEliminator.
void SchurJacobiPreconditioner::InitEliminator(
    const CompressedRowBlockStructure& bs) {
  LinearSolver::Options eliminator_options;
  eliminator_options.elimination_groups = options_.elimination_groups;
  eliminator_options.num_threads = options_.num_threads;
  eliminator_options.e_block_size = options_.e_block_size;
  eliminator_options.f_block_size = options_.f_block_size;
  eliminator_options.row_block_size = options_.row_block_size;
  eliminator_options.context = options_.context;
  eliminator_ = SchurEliminatorBase::Create(eliminator_options);
  const bool kFullRankETE = true;
  eliminator_->Init(
      eliminator_options.elimination_groups[0], kFullRankETE, &bs);
}

// Update the values of the preconditioner matrix and factorize it.
bool SchurJacobiPreconditioner::UpdateImpl(const BlockSparseMatrix& A,
                                           const double* D) {
  const int num_rows = m_->num_rows();
  CHECK_GT(num_rows, 0);

  // Compute a subset of the entries of the Schur complement.
  eliminator_->Eliminate(
      BlockSparseMatrixData(A), nullptr, D, m_.get(), nullptr);
  m_->Invert();
  return true;
}

void SchurJacobiPreconditioner::RightMultiplyAndAccumulate(const double* x,
                                                           double* y) const {
  m_->RightMultiplyAndAccumulate(x, y);
}

int SchurJacobiPreconditioner::num_rows() const { return m_->num_rows(); }

}  // namespace ceres::internal