internal/ceres/reorder_program.h

// Ceres Solver - A fast non-linear least squares minimizer
// Copyright 2015 Google Inc. All rights reserved.
// http://ceres-solver.org/
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// Author: sameeragarwal@google.com (Sameer Agarwal)

#ifndef CERES_INTERNAL_REORDER_PROGRAM_H_
#define CERES_INTERNAL_REORDER_PROGRAM_H_

#include <string>
#include "ceres/internal/port.h"
#include "ceres/parameter_block_ordering.h"
#include "ceres/problem_impl.h"
#include "ceres/types.h"

namespace ceres {
namespace internal {

class Program;

// Reorder the parameter blocks in program using the ordering
bool ApplyOrdering(const ProblemImpl::ParameterMap& parameter_map,
                   const ParameterBlockOrdering& ordering,
                   Program* program,
                   std::string* error);

// Reorder the residuals for program, if necessary, so that the residuals
// involving each E block occur together. This is a necessary condition for the
// Schur eliminator, which works on these "row blocks" in the jacobian.
bool LexicographicallyOrderResidualBlocks(int size_of_first_elimination_group,
                                          Program* program,
                                          std::string* error);

// Schur type solvers require that all parameter blocks eliminated
// by the Schur eliminator occur before others and the residuals be
// sorted in lexicographic order of their parameter blocks.
//
// If the parameter_block_ordering only contains one elimination
// group then a maximal independent set is computed and used as the
// first elimination group, otherwise the user's ordering is used.
//
// If the linear solver type is SPARSE_SCHUR and support for
// constrained fill-reducing ordering is available in the sparse
// linear algebra library (SuiteSparse version >= 4.2.0) then
// columns of the schur complement matrix are ordered to reduce the
// fill-in the Cholesky factorization.
//
// Upon return, ordering contains the parameter block ordering that
// was used to order the program.
bool ReorderProgramForSchurTypeLinearSolver(
    LinearSolverType linear_solver_type,
    SparseLinearAlgebraLibraryType sparse_linear_algebra_library_type,
    const ProblemImpl::ParameterMap& parameter_map,
    ParameterBlockOrdering* parameter_block_ordering,
    Program* program,
    std::string* error);

// Sparse cholesky factorization routines when doing the sparse
// cholesky factorization of the Jacobian matrix, reorders its
// columns to reduce the fill-in. Compute this permutation and
// re-order the parameter blocks.
//
// When using SuiteSparse, if the parameter_block_ordering contains
// more than one elimination group and support for constrained
// fill-reducing ordering is available in the sparse linear algebra
// library (SuiteSparse version >= 4.2.0) then the fill reducing
// ordering will take it into account, otherwise it will be ignored.
bool ReorderProgramForSparseNormalCholesky(
    SparseLinearAlgebraLibraryType sparse_linear_algebra_library_type,
    const ParameterBlockOrdering& parameter_block_ordering,
    Program* program,
    std::string* error);

}  // namespace internal
}  // namespace ceres

#endif  // CERES_INTERNAL_REORDER_PROGRAM_