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-// Ceres Solver - A fast non-linear least squares minimizer
-// Copyright 2014 Google Inc. All rights reserved.
-// http://code.google.com/p/ceres-solver/
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are met:
-//
-// * Redistributions of source code must retain the above copyright notice,
-// this list of conditions and the following disclaimer.
-// * Redistributions in binary form must reproduce the above copyright notice,
-// this list of conditions and the following disclaimer in the documentation
-// and/or other materials provided with the distribution.
-// * Neither the name of Google Inc. nor the names of its contributors may be
-// used to endorse or promote products derived from this software without
-// specific prior written permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
-// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-// POSSIBILITY OF SUCH DAMAGE.
-//
-// Author: sameeragarwal@google.com (Sameer Agarwal)
-
-#include "ceres/trust_region_preprocessor.h"
-
-#include <numeric>
-#include <string>
-#include "ceres/callbacks.h"
-#include "ceres/evaluator.h"
-#include "ceres/linear_solver.h"
-#include "ceres/minimizer.h"
-#include "ceres/parameter_block.h"
-#include "ceres/preconditioner.h"
-#include "ceres/preprocessor.h"
-#include "ceres/problem_impl.h"
-#include "ceres/program.h"
-#include "ceres/reorder_program.h"
-#include "ceres/suitesparse.h"
-#include "ceres/trust_region_strategy.h"
-#include "ceres/wall_time.h"
-
-namespace ceres {
-namespace internal {
-namespace {
-
-ParameterBlockOrdering* CreateDefaultLinearSolverOrdering(
- const Program& program) {
- ParameterBlockOrdering* ordering = new ParameterBlockOrdering;
- const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
- for (int i = 0; i < parameter_blocks.size(); ++i) {
- ordering->AddElementToGroup(
- const_cast<double*>(parameter_blocks[i]->user_state()), 0);
- }
- return ordering;
-}
-
-// Check if all the user supplied values in the parameter blocks are
-// sane or not, and if the program is feasible or not.
-bool IsProgramValid(const Program& program, string* error) {
- return (program.ParameterBlocksAreFinite(error) &&
- program.IsFeasible(error));
-}
-
-void AlternateLinearSolverAndPreconditionerForSchurTypeLinearSolver(
- Solver::Options* options) {
- if (!IsSchurType(options->linear_solver_type)) {
- return;
- }
-
- const LinearSolverType linear_solver_type_given = options->linear_solver_type;
- const PreconditionerType preconditioner_type_given =
- options->preconditioner_type;
- options->linear_solver_type = LinearSolver::LinearSolverForZeroEBlocks(
- linear_solver_type_given);
-
- string message;
- if (linear_solver_type_given == ITERATIVE_SCHUR) {
- options->preconditioner_type = Preconditioner::PreconditionerForZeroEBlocks(
- preconditioner_type_given);
-
- message =
- StringPrintf(
- "No E blocks. Switching from %s(%s) to %s(%s).",
- LinearSolverTypeToString(linear_solver_type_given),
- PreconditionerTypeToString(preconditioner_type_given),
- LinearSolverTypeToString(options->linear_solver_type),
- PreconditionerTypeToString(options->preconditioner_type));
- } else {
- message =
- StringPrintf(
- "No E blocks. Switching from %s to %s.",
- LinearSolverTypeToString(linear_solver_type_given),
- LinearSolverTypeToString(options->linear_solver_type));
- }
-
- VLOG_IF(1, options->logging_type != SILENT) << message;
-}
-
-// For Schur type and SPARSE_NORMAL_CHOLESKY linear solvers, reorder
-// the program to reduce fill-in and increase cache coherency.
-bool ReorderProgram(PreprocessedProblem* pp) {
- Solver::Options& options = pp->options;
- if (IsSchurType(options.linear_solver_type)) {
- return ReorderProgramForSchurTypeLinearSolver(
- options.linear_solver_type,
- options.sparse_linear_algebra_library_type,
- pp->problem->parameter_map(),
- options.linear_solver_ordering.get(),
- pp->reduced_program.get(),
- &pp->error);
- }
-
- if (options.linear_solver_type == SPARSE_NORMAL_CHOLESKY &&
- !options.dynamic_sparsity) {
- return ReorderProgramForSparseNormalCholesky(
- options.sparse_linear_algebra_library_type,
- *options.linear_solver_ordering,
- pp->reduced_program.get(),
- &pp->error);
- }
-
- return true;
-}
-
-// Configure and create a linear solver object. In doing so, if a
-// sparse direct factorization based linear solver is being used, then
-// find a fill reducing ordering and reorder the program as needed
-// too.
-bool SetupLinearSolver(PreprocessedProblem* pp) {
- Solver::Options& options = pp->options;
- if (options.linear_solver_ordering.get() == NULL) {
- // If the user has not supplied a linear solver ordering, then we
- // assume that they are giving all the freedom to us in choosing
- // the best possible ordering. This intent can be indicated by
- // putting all the parameter blocks in the same elimination group.
- options.linear_solver_ordering.reset(
- CreateDefaultLinearSolverOrdering(*pp->reduced_program));
- } else {
- // If the user supplied an ordering, then check if the first
- // elimination group is still non-empty after the reduced problem
- // has been constructed.
- //
- // This is important for Schur type linear solvers, where the
- // first elimination group is special -- it needs to be an
- // independent set.
- //
- // If the first elimination group is empty, then we cannot use the
- // user's requested linear solver (and a preconditioner as the
- // case may be) so we must use a different one.
- ParameterBlockOrdering* ordering = options.linear_solver_ordering.get();
- const int min_group_id = ordering->MinNonZeroGroup();
- ordering->Remove(pp->removed_parameter_blocks);
- if (IsSchurType(options.linear_solver_type) &&
- min_group_id != ordering->MinNonZeroGroup()) {
- AlternateLinearSolverAndPreconditionerForSchurTypeLinearSolver(
- &options);
- }
- }
-
- // Reorder the program to reduce fill in and improve cache coherency
- // of the Jacobian.
- if (!ReorderProgram(pp)) {
- return false;
- }
-
- // Configure the linear solver.
- pp->linear_solver_options = LinearSolver::Options();
- pp->linear_solver_options.min_num_iterations =
- options.min_linear_solver_iterations;
- pp->linear_solver_options.max_num_iterations =
- options.max_linear_solver_iterations;
- pp->linear_solver_options.type = options.linear_solver_type;
- pp->linear_solver_options.preconditioner_type = options.preconditioner_type;
- pp->linear_solver_options.visibility_clustering_type =
- options.visibility_clustering_type;
- pp->linear_solver_options.sparse_linear_algebra_library_type =
- options.sparse_linear_algebra_library_type;
- pp->linear_solver_options.dense_linear_algebra_library_type =
- options.dense_linear_algebra_library_type;
- pp->linear_solver_options.use_explicit_schur_complement =
- options.use_explicit_schur_complement;
- pp->linear_solver_options.dynamic_sparsity = options.dynamic_sparsity;
- pp->linear_solver_options.num_threads = options.num_linear_solver_threads;
-
- // Ignore user's postordering preferences and force it to be true if
- // cholmod_camd is not available. This ensures that the linear
- // solver does not assume that a fill-reducing pre-ordering has been
- // done.
- pp->linear_solver_options.use_postordering = options.use_postordering;
- if (options.linear_solver_type == SPARSE_SCHUR &&
- options.sparse_linear_algebra_library_type == SUITE_SPARSE &&
- !SuiteSparse::IsConstrainedApproximateMinimumDegreeOrderingAvailable()) {
- pp->linear_solver_options.use_postordering = true;
- }
-
- OrderingToGroupSizes(options.linear_solver_ordering.get(),
- &pp->linear_solver_options.elimination_groups);
-
- // Schur type solvers expect at least two elimination groups. If
- // there is only one elimination group, then it is guaranteed that
- // this group only contains e_blocks. Thus we add a dummy
- // elimination group with zero blocks in it.
- if (IsSchurType(pp->linear_solver_options.type) &&
- pp->linear_solver_options.elimination_groups.size() == 1) {
- pp->linear_solver_options.elimination_groups.push_back(0);
- }
-
- pp->linear_solver.reset(LinearSolver::Create(pp->linear_solver_options));
- return (pp->linear_solver.get() != NULL);
-}
-
-// Configure and create the evaluator.
-bool SetupEvaluator(PreprocessedProblem* pp) {
- const Solver::Options& options = pp->options;
- pp->evaluator_options = Evaluator::Options();
- pp->evaluator_options.linear_solver_type = options.linear_solver_type;
- pp->evaluator_options.num_eliminate_blocks = 0;
- if (IsSchurType(options.linear_solver_type)) {
- pp->evaluator_options.num_eliminate_blocks =
- options
- .linear_solver_ordering
- ->group_to_elements().begin()
- ->second.size();
- }
-
- pp->evaluator_options.num_threads = options.num_threads;
- pp->evaluator_options.dynamic_sparsity = options.dynamic_sparsity;
- pp->evaluator.reset(Evaluator::Create(pp->evaluator_options,
- pp->reduced_program.get(),
- &pp->error));
-
- return (pp->evaluator.get() != NULL);
-}
-
-// If the user requested inner iterations, then find an inner
-// iteration ordering as needed and configure and create a
-// CoordinateDescentMinimizer object to perform the inner iterations.
-bool SetupInnerIterationMinimizer(PreprocessedProblem* pp) {
- Solver::Options& options = pp->options;
- if (!options.use_inner_iterations) {
- return true;
- }
-
- // With just one parameter block, the outer iteration of the trust
- // region method and inner iterations are doing exactly the same
- // thing, and thus inner iterations are not needed.
- if (pp->reduced_program->NumParameterBlocks() == 1) {
- LOG(WARNING) << "Reduced problem only contains one parameter block."
- << "Disabling inner iterations.";
- return true;
- }
-
- if (options.inner_iteration_ordering.get() != NULL) {
- // If the user supplied an ordering, then remove the set of
- // inactive parameter blocks from it
- options.inner_iteration_ordering->Remove(pp->removed_parameter_blocks);
- if (options.inner_iteration_ordering->NumElements() == 0) {
- LOG(WARNING) << "No remaining elements in the inner iteration ordering.";
- return true;
- }
-
- // Validate the reduced ordering.
- if (!CoordinateDescentMinimizer::IsOrderingValid(
- *pp->reduced_program,
- *options.inner_iteration_ordering,
- &pp->error)) {
- return false;
- }
- } else {
- // The user did not supply an ordering, so create one.
- options.inner_iteration_ordering.reset(
- CoordinateDescentMinimizer::CreateOrdering(*pp->reduced_program));
- }
-
- pp->inner_iteration_minimizer.reset(new CoordinateDescentMinimizer);
- return pp->inner_iteration_minimizer->Init(*pp->reduced_program,
- pp->problem->parameter_map(),
- *options.inner_iteration_ordering,
- &pp->error);
-}
-
-// Configure and create a TrustRegionMinimizer object.
-void SetupMinimizerOptions(PreprocessedProblem* pp) {
- const Solver::Options& options = pp->options;
-
- SetupCommonMinimizerOptions(pp);
- pp->minimizer_options.is_constrained =
- pp->reduced_program->IsBoundsConstrained();
- pp->minimizer_options.jacobian.reset(pp->evaluator->CreateJacobian());
- pp->minimizer_options.inner_iteration_minimizer =
- pp->inner_iteration_minimizer;
-
- TrustRegionStrategy::Options strategy_options;
- strategy_options.linear_solver = pp->linear_solver.get();
- strategy_options.initial_radius =
- options.initial_trust_region_radius;
- strategy_options.max_radius = options.max_trust_region_radius;
- strategy_options.min_lm_diagonal = options.min_lm_diagonal;
- strategy_options.max_lm_diagonal = options.max_lm_diagonal;
- strategy_options.trust_region_strategy_type =
- options.trust_region_strategy_type;
- strategy_options.dogleg_type = options.dogleg_type;
- pp->minimizer_options.trust_region_strategy.reset(
- CHECK_NOTNULL(TrustRegionStrategy::Create(strategy_options)));
-}
-
-} // namespace
-
-TrustRegionPreprocessor::~TrustRegionPreprocessor() {
-}
-
-bool TrustRegionPreprocessor::Preprocess(const Solver::Options& options,
- ProblemImpl* problem,
- PreprocessedProblem* pp) {
- CHECK_NOTNULL(pp);
- pp->options = options;
- ChangeNumThreadsIfNeeded(&pp->options);
-
- pp->problem = problem;
- Program* program = problem->mutable_program();
- if (!IsProgramValid(*program, &pp->error)) {
- return false;
- }
-
- pp->reduced_program.reset(
- program->CreateReducedProgram(&pp->removed_parameter_blocks,
- &pp->fixed_cost,
- &pp->error));
-
- if (pp->reduced_program.get() == NULL) {
- return false;
- }
-
- if (pp->reduced_program->NumParameterBlocks() == 0) {
- // The reduced problem has no parameter or residual blocks. There
- // is nothing more to do.
- return true;
- }
-
- if (!SetupLinearSolver(pp) ||
- !SetupEvaluator(pp) ||
- !SetupInnerIterationMinimizer(pp)) {
- return false;
- }
-
- SetupMinimizerOptions(pp);
- return true;
-}
-
-} // namespace internal
-} // namespace ceres