|  | // Ceres Solver - A fast non-linear least squares minimizer | 
|  | // Copyright 2010, 2011, 2012 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) | 
|  |  | 
|  | #ifndef CERES_INTERNAL_SOLVER_IMPL_H_ | 
|  | #define CERES_INTERNAL_SOLVER_IMPL_H_ | 
|  |  | 
|  | #include <set> | 
|  | #include <string> | 
|  | #include <vector> | 
|  | #include "ceres/internal/port.h" | 
|  | #include "ceres/ordered_groups.h" | 
|  | #include "ceres/problem_impl.h" | 
|  | #include "ceres/solver.h" | 
|  |  | 
|  | namespace ceres { | 
|  | namespace internal { | 
|  |  | 
|  | class CoordinateDescentMinimizer; | 
|  | class Evaluator; | 
|  | class LinearSolver; | 
|  | class Program; | 
|  | class TripletSparseMatrix; | 
|  |  | 
|  | class SolverImpl { | 
|  | public: | 
|  | // Mirrors the interface in solver.h, but exposes implementation | 
|  | // details for testing internally. | 
|  | static void Solve(const Solver::Options& options, | 
|  | ProblemImpl* problem_impl, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | static void TrustRegionSolve(const Solver::Options& options, | 
|  | ProblemImpl* problem_impl, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | // Run the TrustRegionMinimizer for the given evaluator and configuration. | 
|  | static void TrustRegionMinimize( | 
|  | const Solver::Options &options, | 
|  | Program* program, | 
|  | CoordinateDescentMinimizer* inner_iteration_minimizer, | 
|  | Evaluator* evaluator, | 
|  | LinearSolver* linear_solver, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | static void LineSearchSolve(const Solver::Options& options, | 
|  | ProblemImpl* problem_impl, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | // Run the LineSearchMinimizer for the given evaluator and configuration. | 
|  | static void LineSearchMinimize(const Solver::Options &options, | 
|  | Program* program, | 
|  | Evaluator* evaluator, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | // Create the transformed Program, which has all the fixed blocks | 
|  | // and residuals eliminated, and in the case of automatic schur | 
|  | // ordering, has the E blocks first in the resulting program, with | 
|  | // options.num_eliminate_blocks set appropriately. | 
|  | // | 
|  | // If fixed_cost is not NULL, the residual blocks that are removed | 
|  | // are evaluated and the sum of their cost is returned in fixed_cost. | 
|  | static Program* CreateReducedProgram(Solver::Options* options, | 
|  | ProblemImpl* problem_impl, | 
|  | double* fixed_cost, | 
|  | string* message); | 
|  |  | 
|  | // Create the appropriate linear solver, taking into account any | 
|  | // config changes decided by CreateTransformedProgram(). The | 
|  | // selected linear solver, which may be different from what the user | 
|  | // selected; consider the case that the remaining elimininated | 
|  | // blocks is zero after removing fixed blocks. | 
|  | static LinearSolver* CreateLinearSolver(Solver::Options* options, | 
|  | string* message); | 
|  |  | 
|  | // Reorder the residuals for program, if necessary, so that the | 
|  | // residuals involving e block (i.e., the first num_eliminate_block | 
|  | // parameter blocks) occur together. This is a necessary condition | 
|  | // for the Schur eliminator. | 
|  | static bool LexicographicallyOrderResidualBlocks( | 
|  | const int num_eliminate_blocks, | 
|  | Program* program, | 
|  | string* message); | 
|  |  | 
|  | // Create the appropriate evaluator for the transformed program. | 
|  | static Evaluator* CreateEvaluator( | 
|  | const Solver::Options& options, | 
|  | const ProblemImpl::ParameterMap& parameter_map, | 
|  | Program* program, | 
|  | string* message); | 
|  |  | 
|  | // Remove the fixed or unused parameter blocks and residuals | 
|  | // depending only on fixed parameters from the program. | 
|  | // | 
|  | // If either linear_solver_ordering or inner_iteration_ordering are | 
|  | // not NULL, the constant parameter blocks are removed from them | 
|  | // too. | 
|  | // | 
|  | // If fixed_cost is not NULL, the residual blocks that are removed | 
|  | // are evaluated and the sum of their cost is returned in | 
|  | // fixed_cost. | 
|  | // | 
|  | // If a failure is encountered, the function returns false with a | 
|  | // description of the failure in message. | 
|  | static bool RemoveFixedBlocksFromProgram( | 
|  | Program* program, | 
|  | ParameterBlockOrdering* linear_solver_ordering, | 
|  | ParameterBlockOrdering* inner_iteration_ordering, | 
|  | double* fixed_cost, | 
|  | string* message); | 
|  |  | 
|  | static bool IsOrderingValid(const Solver::Options& options, | 
|  | const ProblemImpl* problem_impl, | 
|  | string* message); | 
|  |  | 
|  | static bool IsParameterBlockSetIndependent( | 
|  | const set<double*>& parameter_block_ptrs, | 
|  | const vector<ResidualBlock*>& residual_blocks); | 
|  |  | 
|  | static CoordinateDescentMinimizer* CreateInnerIterationMinimizer( | 
|  | const Solver::Options& options, | 
|  | const Program& program, | 
|  | const ProblemImpl::ParameterMap& parameter_map, | 
|  | Solver::Summary* summary); | 
|  |  | 
|  | // Reorder the parameter blocks in program using the ordering | 
|  | static bool ApplyUserOrdering( | 
|  | const ProblemImpl::ParameterMap& parameter_map, | 
|  | const ParameterBlockOrdering* parameter_block_ordering, | 
|  | Program* program, | 
|  | string* message); | 
|  |  | 
|  | // 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. | 
|  | // | 
|  | // 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. | 
|  | static bool ReorderProgramForSparseNormalCholesky( | 
|  | const SparseLinearAlgebraLibraryType sparse_linear_algebra_library_type, | 
|  | const ParameterBlockOrdering* parameter_block_ordering, | 
|  | Program* program, | 
|  | string* message); | 
|  |  | 
|  | // 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. | 
|  | static bool ReorderProgramForSchurTypeLinearSolver( | 
|  | const LinearSolverType linear_solver_type, | 
|  | const SparseLinearAlgebraLibraryType sparse_linear_algebra_library_type, | 
|  | const ProblemImpl::ParameterMap& parameter_map, | 
|  | ParameterBlockOrdering* parameter_block_ordering, | 
|  | Program* program, | 
|  | string* message); | 
|  | }; | 
|  |  | 
|  | }  // namespace internal | 
|  | }  // namespace ceres | 
|  |  | 
|  | #endif  // CERES_INTERNAL_SOLVER_IMPL_H_ |