|  | // Ceres Solver - A fast non-linear least squares minimizer | 
|  | // Copyright 2023 Google Inc. All rights reserved. | 
|  | // http://ceres-solver.org/ | 
|  | // | 
|  | // 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/sparse_cholesky.h" | 
|  |  | 
|  | #include <memory> | 
|  | #include <utility> | 
|  |  | 
|  | #include "ceres/accelerate_sparse.h" | 
|  | #include "ceres/eigensparse.h" | 
|  | #include "ceres/float_suitesparse.h" | 
|  | #include "ceres/iterative_refiner.h" | 
|  | #include "ceres/suitesparse.h" | 
|  |  | 
|  | namespace ceres::internal { | 
|  |  | 
|  | std::unique_ptr<SparseCholesky> SparseCholesky::Create( | 
|  | const LinearSolver::Options& options) { | 
|  | std::unique_ptr<SparseCholesky> sparse_cholesky; | 
|  |  | 
|  | switch (options.sparse_linear_algebra_library_type) { | 
|  | case SUITE_SPARSE: | 
|  | #ifndef CERES_NO_SUITESPARSE | 
|  | if (options.use_mixed_precision_solves) { | 
|  | sparse_cholesky = | 
|  | FloatSuiteSparseCholesky::Create(options.ordering_type); | 
|  | } else { | 
|  | sparse_cholesky = SuiteSparseCholesky::Create(options.ordering_type); | 
|  | } | 
|  | break; | 
|  | #else | 
|  | LOG(FATAL) << "Ceres was compiled without support for SuiteSparse."; | 
|  | #endif | 
|  |  | 
|  | case EIGEN_SPARSE: | 
|  | #ifdef CERES_USE_EIGEN_SPARSE | 
|  | if (options.use_mixed_precision_solves) { | 
|  | sparse_cholesky = | 
|  | FloatEigenSparseCholesky::Create(options.ordering_type); | 
|  | } else { | 
|  | sparse_cholesky = EigenSparseCholesky::Create(options.ordering_type); | 
|  | } | 
|  | break; | 
|  | #else | 
|  | LOG(FATAL) << "Ceres was compiled without support for " | 
|  | << "Eigen's sparse Cholesky factorization routines."; | 
|  | #endif | 
|  |  | 
|  | case ACCELERATE_SPARSE: | 
|  | #ifndef CERES_NO_ACCELERATE_SPARSE | 
|  | if (options.use_mixed_precision_solves) { | 
|  | sparse_cholesky = | 
|  | AppleAccelerateCholesky<float>::Create(options.ordering_type); | 
|  | } else { | 
|  | sparse_cholesky = | 
|  | AppleAccelerateCholesky<double>::Create(options.ordering_type); | 
|  | } | 
|  | break; | 
|  | #else | 
|  | LOG(FATAL) << "Ceres was compiled without support for Apple's Accelerate " | 
|  | << "framework solvers."; | 
|  | #endif | 
|  |  | 
|  | default: | 
|  | LOG(FATAL) << "Unknown sparse linear algebra library type : " | 
|  | << SparseLinearAlgebraLibraryTypeToString( | 
|  | options.sparse_linear_algebra_library_type); | 
|  | } | 
|  |  | 
|  | if (options.max_num_refinement_iterations > 0) { | 
|  | auto refiner = std::make_unique<SparseIterativeRefiner>( | 
|  | options.max_num_refinement_iterations); | 
|  | sparse_cholesky = std::make_unique<RefinedSparseCholesky>( | 
|  | std::move(sparse_cholesky), std::move(refiner)); | 
|  | } | 
|  | return sparse_cholesky; | 
|  | } | 
|  |  | 
|  | SparseCholesky::~SparseCholesky() = default; | 
|  |  | 
|  | LinearSolverTerminationType SparseCholesky::FactorAndSolve( | 
|  | CompressedRowSparseMatrix* lhs, | 
|  | const double* rhs, | 
|  | double* solution, | 
|  | std::string* message) { | 
|  | LinearSolverTerminationType termination_type = Factorize(lhs, message); | 
|  | if (termination_type == LinearSolverTerminationType::SUCCESS) { | 
|  | termination_type = Solve(rhs, solution, message); | 
|  | } | 
|  | return termination_type; | 
|  | } | 
|  |  | 
|  | RefinedSparseCholesky::RefinedSparseCholesky( | 
|  | std::unique_ptr<SparseCholesky> sparse_cholesky, | 
|  | std::unique_ptr<SparseIterativeRefiner> iterative_refiner) | 
|  | : sparse_cholesky_(std::move(sparse_cholesky)), | 
|  | iterative_refiner_(std::move(iterative_refiner)) {} | 
|  |  | 
|  | RefinedSparseCholesky::~RefinedSparseCholesky() = default; | 
|  |  | 
|  | CompressedRowSparseMatrix::StorageType RefinedSparseCholesky::StorageType() | 
|  | const { | 
|  | return sparse_cholesky_->StorageType(); | 
|  | } | 
|  |  | 
|  | LinearSolverTerminationType RefinedSparseCholesky::Factorize( | 
|  | CompressedRowSparseMatrix* lhs, std::string* message) { | 
|  | lhs_ = lhs; | 
|  | return sparse_cholesky_->Factorize(lhs, message); | 
|  | } | 
|  |  | 
|  | LinearSolverTerminationType RefinedSparseCholesky::Solve(const double* rhs, | 
|  | double* solution, | 
|  | std::string* message) { | 
|  | CHECK(lhs_ != nullptr); | 
|  | auto termination_type = sparse_cholesky_->Solve(rhs, solution, message); | 
|  | if (termination_type != LinearSolverTerminationType::SUCCESS) { | 
|  | return termination_type; | 
|  | } | 
|  |  | 
|  | iterative_refiner_->Refine(*lhs_, rhs, sparse_cholesky_.get(), solution); | 
|  | return LinearSolverTerminationType::SUCCESS; | 
|  | } | 
|  |  | 
|  | }  // namespace ceres::internal |