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Diffstat (limited to 'extern/libmv/third_party/ceres/internal/ceres/suitesparse.cc')
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-// 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: sameeragarwal@google.com (Sameer Agarwal)
-
-// This include must come before any #ifndef check on Ceres compile options.
-#include "ceres/internal/port.h"
-
-#ifndef CERES_NO_SUITESPARSE
-#include "ceres/suitesparse.h"
-
-#include <vector>
-#include "cholmod.h"
-#include "ceres/compressed_col_sparse_matrix_utils.h"
-#include "ceres/compressed_row_sparse_matrix.h"
-#include "ceres/linear_solver.h"
-#include "ceres/triplet_sparse_matrix.h"
-
-namespace ceres {
-namespace internal {
-
-SuiteSparse::SuiteSparse() {
- cholmod_start(&cc_);
-}
-
-SuiteSparse::~SuiteSparse() {
- cholmod_finish(&cc_);
-}
-
-cholmod_sparse* SuiteSparse::CreateSparseMatrix(TripletSparseMatrix* A) {
- cholmod_triplet triplet;
-
- triplet.nrow = A->num_rows();
- triplet.ncol = A->num_cols();
- triplet.nzmax = A->max_num_nonzeros();
- triplet.nnz = A->num_nonzeros();
- triplet.i = reinterpret_cast<void*>(A->mutable_rows());
- triplet.j = reinterpret_cast<void*>(A->mutable_cols());
- triplet.x = reinterpret_cast<void*>(A->mutable_values());
- triplet.stype = 0; // Matrix is not symmetric.
- triplet.itype = CHOLMOD_INT;
- triplet.xtype = CHOLMOD_REAL;
- triplet.dtype = CHOLMOD_DOUBLE;
-
- return cholmod_triplet_to_sparse(&triplet, triplet.nnz, &cc_);
-}
-
-
-cholmod_sparse* SuiteSparse::CreateSparseMatrixTranspose(
- TripletSparseMatrix* A) {
- cholmod_triplet triplet;
-
- triplet.ncol = A->num_rows(); // swap row and columns
- triplet.nrow = A->num_cols();
- triplet.nzmax = A->max_num_nonzeros();
- triplet.nnz = A->num_nonzeros();
-
- // swap rows and columns
- triplet.j = reinterpret_cast<void*>(A->mutable_rows());
- triplet.i = reinterpret_cast<void*>(A->mutable_cols());
- triplet.x = reinterpret_cast<void*>(A->mutable_values());
- triplet.stype = 0; // Matrix is not symmetric.
- triplet.itype = CHOLMOD_INT;
- triplet.xtype = CHOLMOD_REAL;
- triplet.dtype = CHOLMOD_DOUBLE;
-
- return cholmod_triplet_to_sparse(&triplet, triplet.nnz, &cc_);
-}
-
-cholmod_sparse SuiteSparse::CreateSparseMatrixTransposeView(
- CompressedRowSparseMatrix* A) {
- cholmod_sparse m;
- m.nrow = A->num_cols();
- m.ncol = A->num_rows();
- m.nzmax = A->num_nonzeros();
- m.nz = NULL;
- m.p = reinterpret_cast<void*>(A->mutable_rows());
- m.i = reinterpret_cast<void*>(A->mutable_cols());
- m.x = reinterpret_cast<void*>(A->mutable_values());
- m.z = NULL;
- m.stype = 0; // Matrix is not symmetric.
- m.itype = CHOLMOD_INT;
- m.xtype = CHOLMOD_REAL;
- m.dtype = CHOLMOD_DOUBLE;
- m.sorted = 1;
- m.packed = 1;
-
- return m;
-}
-
-cholmod_dense* SuiteSparse::CreateDenseVector(const double* x,
- int in_size,
- int out_size) {
- CHECK_LE(in_size, out_size);
- cholmod_dense* v = cholmod_zeros(out_size, 1, CHOLMOD_REAL, &cc_);
- if (x != NULL) {
- memcpy(v->x, x, in_size*sizeof(*x));
- }
- return v;
-}
-
-cholmod_factor* SuiteSparse::AnalyzeCholesky(cholmod_sparse* A,
- string* message) {
- // Cholmod can try multiple re-ordering strategies to find a fill
- // reducing ordering. Here we just tell it use AMD with automatic
- // matrix dependence choice of supernodal versus simplicial
- // factorization.
- cc_.nmethods = 1;
- cc_.method[0].ordering = CHOLMOD_AMD;
- cc_.supernodal = CHOLMOD_AUTO;
-
- cholmod_factor* factor = cholmod_analyze(A, &cc_);
- if (VLOG_IS_ON(2)) {
- cholmod_print_common(const_cast<char*>("Symbolic Analysis"), &cc_);
- }
-
- if (cc_.status != CHOLMOD_OK) {
- *message = StringPrintf("cholmod_analyze failed. error code: %d",
- cc_.status);
- return NULL;
- }
-
- return CHECK_NOTNULL(factor);
-}
-
-cholmod_factor* SuiteSparse::BlockAnalyzeCholesky(
- cholmod_sparse* A,
- const vector<int>& row_blocks,
- const vector<int>& col_blocks,
- string* message) {
- vector<int> ordering;
- if (!BlockAMDOrdering(A, row_blocks, col_blocks, &ordering)) {
- return NULL;
- }
- return AnalyzeCholeskyWithUserOrdering(A, ordering, message);
-}
-
-cholmod_factor* SuiteSparse::AnalyzeCholeskyWithUserOrdering(
- cholmod_sparse* A,
- const vector<int>& ordering,
- string* message) {
- CHECK_EQ(ordering.size(), A->nrow);
-
- cc_.nmethods = 1;
- cc_.method[0].ordering = CHOLMOD_GIVEN;
-
- cholmod_factor* factor =
- cholmod_analyze_p(A, const_cast<int*>(&ordering[0]), NULL, 0, &cc_);
- if (VLOG_IS_ON(2)) {
- cholmod_print_common(const_cast<char*>("Symbolic Analysis"), &cc_);
- }
- if (cc_.status != CHOLMOD_OK) {
- *message = StringPrintf("cholmod_analyze failed. error code: %d",
- cc_.status);
- return NULL;
- }
-
- return CHECK_NOTNULL(factor);
-}
-
-cholmod_factor* SuiteSparse::AnalyzeCholeskyWithNaturalOrdering(
- cholmod_sparse* A,
- string* message) {
- cc_.nmethods = 1;
- cc_.method[0].ordering = CHOLMOD_NATURAL;
- cc_.postorder = 0;
-
- cholmod_factor* factor = cholmod_analyze(A, &cc_);
- if (VLOG_IS_ON(2)) {
- cholmod_print_common(const_cast<char*>("Symbolic Analysis"), &cc_);
- }
- if (cc_.status != CHOLMOD_OK) {
- *message = StringPrintf("cholmod_analyze failed. error code: %d",
- cc_.status);
- return NULL;
- }
-
- return CHECK_NOTNULL(factor);
-}
-
-bool SuiteSparse::BlockAMDOrdering(const cholmod_sparse* A,
- const vector<int>& row_blocks,
- const vector<int>& col_blocks,
- vector<int>* ordering) {
- const int num_row_blocks = row_blocks.size();
- const int num_col_blocks = col_blocks.size();
-
- // Arrays storing the compressed column structure of the matrix
- // incoding the block sparsity of A.
- vector<int> block_cols;
- vector<int> block_rows;
-
- CompressedColumnScalarMatrixToBlockMatrix(reinterpret_cast<const int*>(A->i),
- reinterpret_cast<const int*>(A->p),
- row_blocks,
- col_blocks,
- &block_rows,
- &block_cols);
-
- cholmod_sparse_struct block_matrix;
- block_matrix.nrow = num_row_blocks;
- block_matrix.ncol = num_col_blocks;
- block_matrix.nzmax = block_rows.size();
- block_matrix.p = reinterpret_cast<void*>(&block_cols[0]);
- block_matrix.i = reinterpret_cast<void*>(&block_rows[0]);
- block_matrix.x = NULL;
- block_matrix.stype = A->stype;
- block_matrix.itype = CHOLMOD_INT;
- block_matrix.xtype = CHOLMOD_PATTERN;
- block_matrix.dtype = CHOLMOD_DOUBLE;
- block_matrix.sorted = 1;
- block_matrix.packed = 1;
-
- vector<int> block_ordering(num_row_blocks);
- if (!cholmod_amd(&block_matrix, NULL, 0, &block_ordering[0], &cc_)) {
- return false;
- }
-
- BlockOrderingToScalarOrdering(row_blocks, block_ordering, ordering);
- return true;
-}
-
-LinearSolverTerminationType SuiteSparse::Cholesky(cholmod_sparse* A,
- cholmod_factor* L,
- string* message) {
- CHECK_NOTNULL(A);
- CHECK_NOTNULL(L);
-
- // Save the current print level and silence CHOLMOD, otherwise
- // CHOLMOD is prone to dumping stuff to stderr, which can be
- // distracting when the error (matrix is indefinite) is not a fatal
- // failure.
- const int old_print_level = cc_.print;
- cc_.print = 0;
-
- cc_.quick_return_if_not_posdef = 1;
- int cholmod_status = cholmod_factorize(A, L, &cc_);
- cc_.print = old_print_level;
-
- // TODO(sameeragarwal): This switch statement is not consistent. It
- // treats all kinds of CHOLMOD failures as warnings. Some of these
- // like out of memory are definitely not warnings. The problem is
- // that the return value Cholesky is two valued, but the state of
- // the linear solver is really three valued. SUCCESS,
- // NON_FATAL_FAILURE (e.g., indefinite matrix) and FATAL_FAILURE
- // (e.g. out of memory).
- switch (cc_.status) {
- case CHOLMOD_NOT_INSTALLED:
- *message = "CHOLMOD failure: Method not installed.";
- return LINEAR_SOLVER_FATAL_ERROR;
- case CHOLMOD_OUT_OF_MEMORY:
- *message = "CHOLMOD failure: Out of memory.";
- return LINEAR_SOLVER_FATAL_ERROR;
- case CHOLMOD_TOO_LARGE:
- *message = "CHOLMOD failure: Integer overflow occured.";
- return LINEAR_SOLVER_FATAL_ERROR;
- case CHOLMOD_INVALID:
- *message = "CHOLMOD failure: Invalid input.";
- return LINEAR_SOLVER_FATAL_ERROR;
- case CHOLMOD_NOT_POSDEF:
- *message = "CHOLMOD warning: Matrix not positive definite.";
- return LINEAR_SOLVER_FAILURE;
- case CHOLMOD_DSMALL:
- *message = "CHOLMOD warning: D for LDL' or diag(L) or "
- "LL' has tiny absolute value.";
- return LINEAR_SOLVER_FAILURE;
- case CHOLMOD_OK:
- if (cholmod_status != 0) {
- return LINEAR_SOLVER_SUCCESS;
- }
-
- *message = "CHOLMOD failure: cholmod_factorize returned false "
- "but cholmod_common::status is CHOLMOD_OK."
- "Please report this to ceres-solver@googlegroups.com.";
- return LINEAR_SOLVER_FATAL_ERROR;
- default:
- *message =
- StringPrintf("Unknown cholmod return code: %d. "
- "Please report this to ceres-solver@googlegroups.com.",
- cc_.status);
- return LINEAR_SOLVER_FATAL_ERROR;
- }
-
- return LINEAR_SOLVER_FATAL_ERROR;
-}
-
-cholmod_dense* SuiteSparse::Solve(cholmod_factor* L,
- cholmod_dense* b,
- string* message) {
- if (cc_.status != CHOLMOD_OK) {
- *message = "cholmod_solve failed. CHOLMOD status is not CHOLMOD_OK";
- return NULL;
- }
-
- return cholmod_solve(CHOLMOD_A, L, b, &cc_);
-}
-
-bool SuiteSparse::ApproximateMinimumDegreeOrdering(cholmod_sparse* matrix,
- int* ordering) {
- return cholmod_amd(matrix, NULL, 0, ordering, &cc_);
-}
-
-bool SuiteSparse::ConstrainedApproximateMinimumDegreeOrdering(
- cholmod_sparse* matrix,
- int* constraints,
- int* ordering) {
-#ifndef CERES_NO_CAMD
- return cholmod_camd(matrix, NULL, 0, constraints, ordering, &cc_);
-#else
- LOG(FATAL) << "Congratulations you have found a bug in Ceres."
- << "Ceres Solver was compiled with SuiteSparse "
- << "version 4.1.0 or less. Calling this function "
- << "in that case is a bug. Please contact the"
- << "the Ceres Solver developers.";
- return false;
-#endif
-}
-
-} // namespace internal
-} // namespace ceres
-
-#endif // CERES_NO_SUITESPARSE