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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: keir@google.com (Keir Mierle)
-// sameeragarwal@google.com (Sameer Agarwal)
-
-#include "ceres/solver.h"
-
-#include <algorithm>
-#include <sstream> // NOLINT
-#include <vector>
-#include "ceres/gradient_checking_cost_function.h"
-#include "ceres/internal/port.h"
-#include "ceres/parameter_block_ordering.h"
-#include "ceres/preprocessor.h"
-#include "ceres/problem.h"
-#include "ceres/problem_impl.h"
-#include "ceres/program.h"
-#include "ceres/solver_utils.h"
-#include "ceres/stringprintf.h"
-#include "ceres/types.h"
-#include "ceres/wall_time.h"
-
-namespace ceres {
-namespace {
-
-#define OPTION_OP(x, y, OP) \
- if (!(options.x OP y)) { \
- std::stringstream ss; \
- ss << "Invalid configuration. "; \
- ss << string("Solver::Options::" #x " = ") << options.x << ". "; \
- ss << "Violated constraint: "; \
- ss << string("Solver::Options::" #x " " #OP " "#y); \
- *error = ss.str(); \
- return false; \
- }
-
-#define OPTION_OP_OPTION(x, y, OP) \
- if (!(options.x OP options.y)) { \
- std::stringstream ss; \
- ss << "Invalid configuration. "; \
- ss << string("Solver::Options::" #x " = ") << options.x << ". "; \
- ss << string("Solver::Options::" #y " = ") << options.y << ". "; \
- ss << "Violated constraint: "; \
- ss << string("Solver::Options::" #x); \
- ss << string(#OP " Solver::Options::" #y "."); \
- *error = ss.str(); \
- return false; \
- }
-
-#define OPTION_GE(x, y) OPTION_OP(x, y, >=);
-#define OPTION_GT(x, y) OPTION_OP(x, y, >);
-#define OPTION_LE(x, y) OPTION_OP(x, y, <=);
-#define OPTION_LT(x, y) OPTION_OP(x, y, <);
-#define OPTION_LE_OPTION(x, y) OPTION_OP_OPTION(x, y, <=)
-#define OPTION_LT_OPTION(x, y) OPTION_OP_OPTION(x, y, <)
-
-bool CommonOptionsAreValid(const Solver::Options& options, string* error) {
- OPTION_GE(max_num_iterations, 0);
- OPTION_GE(max_solver_time_in_seconds, 0.0);
- OPTION_GE(function_tolerance, 0.0);
- OPTION_GE(gradient_tolerance, 0.0);
- OPTION_GE(parameter_tolerance, 0.0);
- OPTION_GT(num_threads, 0);
- OPTION_GT(num_linear_solver_threads, 0);
- if (options.check_gradients) {
- OPTION_GT(gradient_check_relative_precision, 0.0);
- OPTION_GT(numeric_derivative_relative_step_size, 0.0);
- }
- return true;
-}
-
-bool TrustRegionOptionsAreValid(const Solver::Options& options, string* error) {
- OPTION_GT(initial_trust_region_radius, 0.0);
- OPTION_GT(min_trust_region_radius, 0.0);
- OPTION_GT(max_trust_region_radius, 0.0);
- OPTION_LE_OPTION(min_trust_region_radius, max_trust_region_radius);
- OPTION_LE_OPTION(min_trust_region_radius, initial_trust_region_radius);
- OPTION_LE_OPTION(initial_trust_region_radius, max_trust_region_radius);
- OPTION_GE(min_relative_decrease, 0.0);
- OPTION_GE(min_lm_diagonal, 0.0);
- OPTION_GE(max_lm_diagonal, 0.0);
- OPTION_LE_OPTION(min_lm_diagonal, max_lm_diagonal);
- OPTION_GE(max_num_consecutive_invalid_steps, 0);
- OPTION_GT(eta, 0.0);
- OPTION_GE(min_linear_solver_iterations, 0);
- OPTION_GE(max_linear_solver_iterations, 1);
- OPTION_LE_OPTION(min_linear_solver_iterations, max_linear_solver_iterations);
-
- if (options.use_inner_iterations) {
- OPTION_GE(inner_iteration_tolerance, 0.0);
- }
-
- if (options.use_nonmonotonic_steps) {
- OPTION_GT(max_consecutive_nonmonotonic_steps, 0);
- }
-
- if (options.linear_solver_type == ITERATIVE_SCHUR &&
- options.use_explicit_schur_complement &&
- options.preconditioner_type != SCHUR_JACOBI) {
- *error = "use_explicit_schur_complement only supports "
- "SCHUR_JACOBI as the preconditioner.";
- return false;
- }
-
- if (options.preconditioner_type == CLUSTER_JACOBI &&
- options.sparse_linear_algebra_library_type != SUITE_SPARSE) {
- *error = "CLUSTER_JACOBI requires "
- "Solver::Options::sparse_linear_algebra_library_type to be "
- "SUITE_SPARSE";
- return false;
- }
-
- if (options.preconditioner_type == CLUSTER_TRIDIAGONAL &&
- options.sparse_linear_algebra_library_type != SUITE_SPARSE) {
- *error = "CLUSTER_TRIDIAGONAL requires "
- "Solver::Options::sparse_linear_algebra_library_type to be "
- "SUITE_SPARSE";
- return false;
- }
-
-#ifdef CERES_NO_LAPACK
- if (options.dense_linear_algebra_library_type == LAPACK) {
- if (options.linear_solver_type == DENSE_NORMAL_CHOLESKY) {
- *error = "Can't use DENSE_NORMAL_CHOLESKY with LAPACK because "
- "LAPACK was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.linear_solver_type == DENSE_QR) {
- *error = "Can't use DENSE_QR with LAPACK because "
- "LAPACK was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.linear_solver_type == DENSE_SCHUR) {
- *error = "Can't use DENSE_SCHUR with LAPACK because "
- "LAPACK was not enabled when Ceres was built.";
- return false;
- }
- }
-#endif
-
-#ifdef CERES_NO_SUITESPARSE
- if (options.sparse_linear_algebra_library_type == SUITE_SPARSE) {
- if (options.linear_solver_type == SPARSE_NORMAL_CHOLESKY) {
- *error = "Can't use SPARSE_NORMAL_CHOLESKY with SUITESPARSE because "
- "SuiteSparse was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.linear_solver_type == SPARSE_SCHUR) {
- *error = "Can't use SPARSE_SCHUR with SUITESPARSE because "
- "SuiteSparse was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.preconditioner_type == CLUSTER_JACOBI) {
- *error = "CLUSTER_JACOBI preconditioner not supported. "
- "SuiteSparse was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.preconditioner_type == CLUSTER_TRIDIAGONAL) {
- *error = "CLUSTER_TRIDIAGONAL preconditioner not supported. "
- "SuiteSparse was not enabled when Ceres was built.";
- return false;
- }
- }
-#endif
-
-#ifdef CERES_NO_CXSPARSE
- if (options.sparse_linear_algebra_library_type == CX_SPARSE) {
- if (options.linear_solver_type == SPARSE_NORMAL_CHOLESKY) {
- *error = "Can't use SPARSE_NORMAL_CHOLESKY with CX_SPARSE because "
- "CXSparse was not enabled when Ceres was built.";
- return false;
- }
-
- if (options.linear_solver_type == SPARSE_SCHUR) {
- *error = "Can't use SPARSE_SCHUR with CX_SPARSE because "
- "CXSparse was not enabled when Ceres was built.";
- return false;
- }
- }
-#endif
-
-#ifndef CERES_USE_EIGEN_SPARSE
- if (options.sparse_linear_algebra_library_type == EIGEN_SPARSE) {
- if (options.linear_solver_type == SPARSE_NORMAL_CHOLESKY) {
- *error = "Can't use SPARSE_NORMAL_CHOLESKY with EIGEN_SPARSE because "
- "Eigen's sparse linear algebra was not enabled when Ceres was "
- "built.";
- return false;
- }
-
- if (options.linear_solver_type == SPARSE_SCHUR) {
- *error = "Can't use SPARSE_SCHUR with EIGEN_SPARSE because "
- "Eigen's sparse linear algebra was not enabled when Ceres was "
- "built.";
- return false;
- }
- }
-#endif
-
- if (options.trust_region_strategy_type == DOGLEG) {
- if (options.linear_solver_type == ITERATIVE_SCHUR ||
- options.linear_solver_type == CGNR) {
- *error = "DOGLEG only supports exact factorization based linear "
- "solvers. If you want to use an iterative solver please "
- "use LEVENBERG_MARQUARDT as the trust_region_strategy_type";
- return false;
- }
- }
-
- if (options.trust_region_minimizer_iterations_to_dump.size() > 0 &&
- options.trust_region_problem_dump_format_type != CONSOLE &&
- options.trust_region_problem_dump_directory.empty()) {
- *error = "Solver::Options::trust_region_problem_dump_directory is empty.";
- return false;
- }
-
- if (options.dynamic_sparsity &&
- options.linear_solver_type != SPARSE_NORMAL_CHOLESKY) {
- *error = "Dynamic sparsity is only supported with SPARSE_NORMAL_CHOLESKY.";
- return false;
- }
-
- return true;
-}
-
-bool LineSearchOptionsAreValid(const Solver::Options& options, string* error) {
- OPTION_GT(max_lbfgs_rank, 0);
- OPTION_GT(min_line_search_step_size, 0.0);
- OPTION_GT(max_line_search_step_contraction, 0.0);
- OPTION_LT(max_line_search_step_contraction, 1.0);
- OPTION_LT_OPTION(max_line_search_step_contraction,
- min_line_search_step_contraction);
- OPTION_LE(min_line_search_step_contraction, 1.0);
- OPTION_GT(max_num_line_search_step_size_iterations, 0);
- OPTION_GT(line_search_sufficient_function_decrease, 0.0);
- OPTION_LT_OPTION(line_search_sufficient_function_decrease,
- line_search_sufficient_curvature_decrease);
- OPTION_LT(line_search_sufficient_curvature_decrease, 1.0);
- OPTION_GT(max_line_search_step_expansion, 1.0);
-
- if ((options.line_search_direction_type == ceres::BFGS ||
- options.line_search_direction_type == ceres::LBFGS) &&
- options.line_search_type != ceres::WOLFE) {
- *error =
- string("Invalid configuration: Solver::Options::line_search_type = ")
- + string(LineSearchTypeToString(options.line_search_type))
- + string(". When using (L)BFGS, "
- "Solver::Options::line_search_type must be set to WOLFE.");
- return false;
- }
-
- // Warn user if they have requested BISECTION interpolation, but constraints
- // on max/min step size change during line search prevent bisection scaling
- // from occurring. Warn only, as this is likely a user mistake, but one which
- // does not prevent us from continuing.
- LOG_IF(WARNING,
- (options.line_search_interpolation_type == ceres::BISECTION &&
- (options.max_line_search_step_contraction > 0.5 ||
- options.min_line_search_step_contraction < 0.5)))
- << "Line search interpolation type is BISECTION, but specified "
- << "max_line_search_step_contraction: "
- << options.max_line_search_step_contraction << ", and "
- << "min_line_search_step_contraction: "
- << options.min_line_search_step_contraction
- << ", prevent bisection (0.5) scaling, continuing with solve regardless.";
-
- return true;
-}
-
-#undef OPTION_OP
-#undef OPTION_OP_OPTION
-#undef OPTION_GT
-#undef OPTION_GE
-#undef OPTION_LE
-#undef OPTION_LT
-#undef OPTION_LE_OPTION
-#undef OPTION_LT_OPTION
-
-void StringifyOrdering(const vector<int>& ordering, string* report) {
- if (ordering.size() == 0) {
- internal::StringAppendF(report, "AUTOMATIC");
- return;
- }
-
- for (int i = 0; i < ordering.size() - 1; ++i) {
- internal::StringAppendF(report, "%d, ", ordering[i]);
- }
- internal::StringAppendF(report, "%d", ordering.back());
-}
-
-void SummarizeGivenProgram(const internal::Program& program,
- Solver::Summary* summary) {
- summary->num_parameter_blocks = program.NumParameterBlocks();
- summary->num_parameters = program.NumParameters();
- summary->num_effective_parameters = program.NumEffectiveParameters();
- summary->num_residual_blocks = program.NumResidualBlocks();
- summary->num_residuals = program.NumResiduals();
-}
-
-void SummarizeReducedProgram(const internal::Program& program,
- Solver::Summary* summary) {
- summary->num_parameter_blocks_reduced = program.NumParameterBlocks();
- summary->num_parameters_reduced = program.NumParameters();
- summary->num_effective_parameters_reduced = program.NumEffectiveParameters();
- summary->num_residual_blocks_reduced = program.NumResidualBlocks();
- summary->num_residuals_reduced = program.NumResiduals();
-}
-
-void PreSolveSummarize(const Solver::Options& options,
- const internal::ProblemImpl* problem,
- Solver::Summary* summary) {
- SummarizeGivenProgram(problem->program(), summary);
- internal::OrderingToGroupSizes(options.linear_solver_ordering.get(),
- &(summary->linear_solver_ordering_given));
- internal::OrderingToGroupSizes(options.inner_iteration_ordering.get(),
- &(summary->inner_iteration_ordering_given));
-
- summary->dense_linear_algebra_library_type = options.dense_linear_algebra_library_type; // NOLINT
- summary->dogleg_type = options.dogleg_type;
- summary->inner_iteration_time_in_seconds = 0.0;
- summary->inner_iterations_given = options.use_inner_iterations;
- summary->line_search_direction_type = options.line_search_direction_type; // NOLINT
- summary->line_search_interpolation_type = options.line_search_interpolation_type; // NOLINT
- summary->line_search_type = options.line_search_type;
- summary->linear_solver_type_given = options.linear_solver_type;
- summary->max_lbfgs_rank = options.max_lbfgs_rank;
- summary->minimizer_type = options.minimizer_type;
- summary->nonlinear_conjugate_gradient_type = options.nonlinear_conjugate_gradient_type; // NOLINT
- summary->num_linear_solver_threads_given = options.num_linear_solver_threads; // NOLINT
- summary->num_threads_given = options.num_threads;
- summary->preconditioner_type_given = options.preconditioner_type;
- summary->sparse_linear_algebra_library_type = options.sparse_linear_algebra_library_type; // NOLINT
- summary->trust_region_strategy_type = options.trust_region_strategy_type; // NOLINT
- summary->visibility_clustering_type = options.visibility_clustering_type; // NOLINT
-}
-
-void PostSolveSummarize(const internal::PreprocessedProblem& pp,
- Solver::Summary* summary) {
- internal::OrderingToGroupSizes(pp.options.linear_solver_ordering.get(),
- &(summary->linear_solver_ordering_used));
- internal::OrderingToGroupSizes(pp.options.inner_iteration_ordering.get(),
- &(summary->inner_iteration_ordering_used));
-
- summary->inner_iterations_used = pp.inner_iteration_minimizer.get() != NULL; // NOLINT
- summary->linear_solver_type_used = pp.options.linear_solver_type;
- summary->num_linear_solver_threads_used = pp.options.num_linear_solver_threads; // NOLINT
- summary->num_threads_used = pp.options.num_threads;
- summary->preconditioner_type_used = pp.options.preconditioner_type; // NOLINT
-
- internal::SetSummaryFinalCost(summary);
-
- if (pp.reduced_program.get() != NULL) {
- SummarizeReducedProgram(*pp.reduced_program, summary);
- }
-
- // It is possible that no evaluator was created. This would be the
- // case if the preprocessor failed, or if the reduced problem did
- // not contain any parameter blocks. Thus, only extract the
- // evaluator statistics if one exists.
- if (pp.evaluator.get() != NULL) {
- const map<string, double>& evaluator_time_statistics =
- pp.evaluator->TimeStatistics();
- summary->residual_evaluation_time_in_seconds =
- FindWithDefault(evaluator_time_statistics, "Evaluator::Residual", 0.0);
- summary->jacobian_evaluation_time_in_seconds =
- FindWithDefault(evaluator_time_statistics, "Evaluator::Jacobian", 0.0);
- }
-
- // Again, like the evaluator, there may or may not be a linear
- // solver from which we can extract run time statistics. In
- // particular the line search solver does not use a linear solver.
- if (pp.linear_solver.get() != NULL) {
- const map<string, double>& linear_solver_time_statistics =
- pp.linear_solver->TimeStatistics();
- summary->linear_solver_time_in_seconds =
- FindWithDefault(linear_solver_time_statistics,
- "LinearSolver::Solve",
- 0.0);
- }
-}
-
-void Minimize(internal::PreprocessedProblem* pp,
- Solver::Summary* summary) {
- using internal::Program;
- using internal::scoped_ptr;
- using internal::Minimizer;
-
- Program* program = pp->reduced_program.get();
- if (pp->reduced_program->NumParameterBlocks() == 0) {
- summary->message = "Function tolerance reached. "
- "No non-constant parameter blocks found.";
- summary->termination_type = CONVERGENCE;
- VLOG_IF(1, pp->options.logging_type != SILENT) << summary->message;
- summary->initial_cost = summary->fixed_cost;
- summary->final_cost = summary->fixed_cost;
- return;
- }
-
- scoped_ptr<Minimizer> minimizer(
- Minimizer::Create(pp->options.minimizer_type));
- minimizer->Minimize(pp->minimizer_options,
- pp->reduced_parameters.data(),
- summary);
-
- if (summary->IsSolutionUsable()) {
- program->StateVectorToParameterBlocks(pp->reduced_parameters.data());
- program->CopyParameterBlockStateToUserState();
- }
-}
-
-} // namespace
-
-bool Solver::Options::IsValid(string* error) const {
- if (!CommonOptionsAreValid(*this, error)) {
- return false;
- }
-
- if (minimizer_type == TRUST_REGION) {
- return TrustRegionOptionsAreValid(*this, error);
- }
-
- CHECK_EQ(minimizer_type, LINE_SEARCH);
- return LineSearchOptionsAreValid(*this, error);
-}
-
-Solver::~Solver() {}
-
-void Solver::Solve(const Solver::Options& options,
- Problem* problem,
- Solver::Summary* summary) {
- using internal::PreprocessedProblem;
- using internal::Preprocessor;
- using internal::ProblemImpl;
- using internal::Program;
- using internal::scoped_ptr;
- using internal::WallTimeInSeconds;
-
- CHECK_NOTNULL(problem);
- CHECK_NOTNULL(summary);
-
- double start_time = WallTimeInSeconds();
- *summary = Summary();
- if (!options.IsValid(&summary->message)) {
- LOG(ERROR) << "Terminating: " << summary->message;
- return;
- }
-
- ProblemImpl* problem_impl = problem->problem_impl_.get();
- Program* program = problem_impl->mutable_program();
- PreSolveSummarize(options, problem_impl, summary);
-
- // Make sure that all the parameter blocks states are set to the
- // values provided by the user.
- program->SetParameterBlockStatePtrsToUserStatePtrs();
-
- scoped_ptr<internal::ProblemImpl> gradient_checking_problem;
- if (options.check_gradients) {
- gradient_checking_problem.reset(
- CreateGradientCheckingProblemImpl(
- problem_impl,
- options.numeric_derivative_relative_step_size,
- options.gradient_check_relative_precision));
- problem_impl = gradient_checking_problem.get();
- program = problem_impl->mutable_program();
- }
-
- scoped_ptr<Preprocessor> preprocessor(
- Preprocessor::Create(options.minimizer_type));
- PreprocessedProblem pp;
- const bool status = preprocessor->Preprocess(options, problem_impl, &pp);
- summary->fixed_cost = pp.fixed_cost;
- summary->preprocessor_time_in_seconds = WallTimeInSeconds() - start_time;
-
- if (status) {
- const double minimizer_start_time = WallTimeInSeconds();
- Minimize(&pp, summary);
- summary->minimizer_time_in_seconds =
- WallTimeInSeconds() - minimizer_start_time;
- } else {
- summary->message = pp.error;
- }
-
- const double postprocessor_start_time = WallTimeInSeconds();
- problem_impl = problem->problem_impl_.get();
- program = problem_impl->mutable_program();
- // On exit, ensure that the parameter blocks again point at the user
- // provided values and the parameter blocks are numbered according
- // to their position in the original user provided program.
- program->SetParameterBlockStatePtrsToUserStatePtrs();
- program->SetParameterOffsetsAndIndex();
- PostSolveSummarize(pp, summary);
- summary->postprocessor_time_in_seconds =
- WallTimeInSeconds() - postprocessor_start_time;
-
- summary->total_time_in_seconds = WallTimeInSeconds() - start_time;
-}
-
-void Solve(const Solver::Options& options,
- Problem* problem,
- Solver::Summary* summary) {
- Solver solver;
- solver.Solve(options, problem, summary);
-}
-
-Solver::Summary::Summary()
- // Invalid values for most fields, to ensure that we are not
- // accidentally reporting default values.
- : minimizer_type(TRUST_REGION),
- termination_type(FAILURE),
- message("ceres::Solve was not called."),
- initial_cost(-1.0),
- final_cost(-1.0),
- fixed_cost(-1.0),
- num_successful_steps(-1),
- num_unsuccessful_steps(-1),
- num_inner_iteration_steps(-1),
- preprocessor_time_in_seconds(-1.0),
- minimizer_time_in_seconds(-1.0),
- postprocessor_time_in_seconds(-1.0),
- total_time_in_seconds(-1.0),
- linear_solver_time_in_seconds(-1.0),
- residual_evaluation_time_in_seconds(-1.0),
- jacobian_evaluation_time_in_seconds(-1.0),
- inner_iteration_time_in_seconds(-1.0),
- num_parameter_blocks(-1),
- num_parameters(-1),
- num_effective_parameters(-1),
- num_residual_blocks(-1),
- num_residuals(-1),
- num_parameter_blocks_reduced(-1),
- num_parameters_reduced(-1),
- num_effective_parameters_reduced(-1),
- num_residual_blocks_reduced(-1),
- num_residuals_reduced(-1),
- num_threads_given(-1),
- num_threads_used(-1),
- num_linear_solver_threads_given(-1),
- num_linear_solver_threads_used(-1),
- linear_solver_type_given(SPARSE_NORMAL_CHOLESKY),
- linear_solver_type_used(SPARSE_NORMAL_CHOLESKY),
- inner_iterations_given(false),
- inner_iterations_used(false),
- preconditioner_type_given(IDENTITY),
- preconditioner_type_used(IDENTITY),
- visibility_clustering_type(CANONICAL_VIEWS),
- trust_region_strategy_type(LEVENBERG_MARQUARDT),
- dense_linear_algebra_library_type(EIGEN),
- sparse_linear_algebra_library_type(SUITE_SPARSE),
- line_search_direction_type(LBFGS),
- line_search_type(ARMIJO),
- line_search_interpolation_type(BISECTION),
- nonlinear_conjugate_gradient_type(FLETCHER_REEVES),
- max_lbfgs_rank(-1) {
-}
-
-using internal::StringAppendF;
-using internal::StringPrintf;
-
-string Solver::Summary::BriefReport() const {
- return StringPrintf("Ceres Solver Report: "
- "Iterations: %d, "
- "Initial cost: %e, "
- "Final cost: %e, "
- "Termination: %s",
- num_successful_steps + num_unsuccessful_steps,
- initial_cost,
- final_cost,
- TerminationTypeToString(termination_type));
-};
-
-string Solver::Summary::FullReport() const {
- using internal::VersionString;
-
- string report = string("\nSolver Summary (v " + VersionString() + ")\n\n");
-
- StringAppendF(&report, "%45s %21s\n", "Original", "Reduced");
- StringAppendF(&report, "Parameter blocks % 25d% 25d\n",
- num_parameter_blocks, num_parameter_blocks_reduced);
- StringAppendF(&report, "Parameters % 25d% 25d\n",
- num_parameters, num_parameters_reduced);
- if (num_effective_parameters_reduced != num_parameters_reduced) {
- StringAppendF(&report, "Effective parameters% 25d% 25d\n",
- num_effective_parameters, num_effective_parameters_reduced);
- }
- StringAppendF(&report, "Residual blocks % 25d% 25d\n",
- num_residual_blocks, num_residual_blocks_reduced);
- StringAppendF(&report, "Residual % 25d% 25d\n",
- num_residuals, num_residuals_reduced);
-
- if (minimizer_type == TRUST_REGION) {
- // TRUST_SEARCH HEADER
- StringAppendF(&report, "\nMinimizer %19s\n",
- "TRUST_REGION");
-
- if (linear_solver_type_used == DENSE_NORMAL_CHOLESKY ||
- linear_solver_type_used == DENSE_SCHUR ||
- linear_solver_type_used == DENSE_QR) {
- StringAppendF(&report, "\nDense linear algebra library %15s\n",
- DenseLinearAlgebraLibraryTypeToString(
- dense_linear_algebra_library_type));
- }
-
- if (linear_solver_type_used == SPARSE_NORMAL_CHOLESKY ||
- linear_solver_type_used == SPARSE_SCHUR ||
- (linear_solver_type_used == ITERATIVE_SCHUR &&
- (preconditioner_type_used == CLUSTER_JACOBI ||
- preconditioner_type_used == CLUSTER_TRIDIAGONAL))) {
- StringAppendF(&report, "\nSparse linear algebra library %15s\n",
- SparseLinearAlgebraLibraryTypeToString(
- sparse_linear_algebra_library_type));
- }
-
- StringAppendF(&report, "Trust region strategy %19s",
- TrustRegionStrategyTypeToString(
- trust_region_strategy_type));
- if (trust_region_strategy_type == DOGLEG) {
- if (dogleg_type == TRADITIONAL_DOGLEG) {
- StringAppendF(&report, " (TRADITIONAL)");
- } else {
- StringAppendF(&report, " (SUBSPACE)");
- }
- }
- StringAppendF(&report, "\n");
- StringAppendF(&report, "\n");
-
- StringAppendF(&report, "%45s %21s\n", "Given", "Used");
- StringAppendF(&report, "Linear solver %25s%25s\n",
- LinearSolverTypeToString(linear_solver_type_given),
- LinearSolverTypeToString(linear_solver_type_used));
-
- if (linear_solver_type_given == CGNR ||
- linear_solver_type_given == ITERATIVE_SCHUR) {
- StringAppendF(&report, "Preconditioner %25s%25s\n",
- PreconditionerTypeToString(preconditioner_type_given),
- PreconditionerTypeToString(preconditioner_type_used));
- }
-
- if (preconditioner_type_used == CLUSTER_JACOBI ||
- preconditioner_type_used == CLUSTER_TRIDIAGONAL) {
- StringAppendF(&report, "Visibility clustering%24s%25s\n",
- VisibilityClusteringTypeToString(
- visibility_clustering_type),
- VisibilityClusteringTypeToString(
- visibility_clustering_type));
- }
- StringAppendF(&report, "Threads % 25d% 25d\n",
- num_threads_given, num_threads_used);
- StringAppendF(&report, "Linear solver threads % 23d% 25d\n",
- num_linear_solver_threads_given,
- num_linear_solver_threads_used);
-
- if (IsSchurType(linear_solver_type_used)) {
- string given;
- StringifyOrdering(linear_solver_ordering_given, &given);
- string used;
- StringifyOrdering(linear_solver_ordering_used, &used);
- StringAppendF(&report,
- "Linear solver ordering %22s %24s\n",
- given.c_str(),
- used.c_str());
- }
-
- if (inner_iterations_given) {
- StringAppendF(&report,
- "Use inner iterations %20s %20s\n",
- inner_iterations_given ? "True" : "False",
- inner_iterations_used ? "True" : "False");
- }
-
- if (inner_iterations_used) {
- string given;
- StringifyOrdering(inner_iteration_ordering_given, &given);
- string used;
- StringifyOrdering(inner_iteration_ordering_used, &used);
- StringAppendF(&report,
- "Inner iteration ordering %20s %24s\n",
- given.c_str(),
- used.c_str());
- }
- } else {
- // LINE_SEARCH HEADER
- StringAppendF(&report, "\nMinimizer %19s\n", "LINE_SEARCH");
-
-
- string line_search_direction_string;
- if (line_search_direction_type == LBFGS) {
- line_search_direction_string = StringPrintf("LBFGS (%d)", max_lbfgs_rank);
- } else if (line_search_direction_type == NONLINEAR_CONJUGATE_GRADIENT) {
- line_search_direction_string =
- NonlinearConjugateGradientTypeToString(
- nonlinear_conjugate_gradient_type);
- } else {
- line_search_direction_string =
- LineSearchDirectionTypeToString(line_search_direction_type);
- }
-
- StringAppendF(&report, "Line search direction %19s\n",
- line_search_direction_string.c_str());
-
- const string line_search_type_string =
- StringPrintf("%s %s",
- LineSearchInterpolationTypeToString(
- line_search_interpolation_type),
- LineSearchTypeToString(line_search_type));
- StringAppendF(&report, "Line search type %19s\n",
- line_search_type_string.c_str());
- StringAppendF(&report, "\n");
-
- StringAppendF(&report, "%45s %21s\n", "Given", "Used");
- StringAppendF(&report, "Threads % 25d% 25d\n",
- num_threads_given, num_threads_used);
- }
-
- StringAppendF(&report, "\nCost:\n");
- StringAppendF(&report, "Initial % 30e\n", initial_cost);
- if (termination_type != FAILURE &&
- termination_type != USER_FAILURE) {
- StringAppendF(&report, "Final % 30e\n", final_cost);
- StringAppendF(&report, "Change % 30e\n",
- initial_cost - final_cost);
- }
-
- StringAppendF(&report, "\nMinimizer iterations % 16d\n",
- num_successful_steps + num_unsuccessful_steps);
-
- // Successful/Unsuccessful steps only matter in the case of the
- // trust region solver. Line search terminates when it encounters
- // the first unsuccessful step.
- if (minimizer_type == TRUST_REGION) {
- StringAppendF(&report, "Successful steps % 14d\n",
- num_successful_steps);
- StringAppendF(&report, "Unsuccessful steps % 14d\n",
- num_unsuccessful_steps);
- }
- if (inner_iterations_used) {
- StringAppendF(&report, "Steps with inner iterations % 14d\n",
- num_inner_iteration_steps);
- }
-
- StringAppendF(&report, "\nTime (in seconds):\n");
- StringAppendF(&report, "Preprocessor %25.3f\n",
- preprocessor_time_in_seconds);
-
- StringAppendF(&report, "\n Residual evaluation %23.3f\n",
- residual_evaluation_time_in_seconds);
- StringAppendF(&report, " Jacobian evaluation %23.3f\n",
- jacobian_evaluation_time_in_seconds);
-
- if (minimizer_type == TRUST_REGION) {
- StringAppendF(&report, " Linear solver %23.3f\n",
- linear_solver_time_in_seconds);
- }
-
- if (inner_iterations_used) {
- StringAppendF(&report, " Inner iterations %23.3f\n",
- inner_iteration_time_in_seconds);
- }
-
- StringAppendF(&report, "Minimizer %25.3f\n\n",
- minimizer_time_in_seconds);
-
- StringAppendF(&report, "Postprocessor %24.3f\n",
- postprocessor_time_in_seconds);
-
- StringAppendF(&report, "Total %25.3f\n\n",
- total_time_in_seconds);
-
- StringAppendF(&report, "Termination: %25s (%s)\n",
- TerminationTypeToString(termination_type), message.c_str());
- return report;
-};
-
-bool Solver::Summary::IsSolutionUsable() const {
- return internal::IsSolutionUsable(*this);
-}
-
-} // namespace ceres