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1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
3 // http://code.google.com/p/ceres-solver/
4 //
5 // Redistribution and use in source and binary forms, with or without
6 // modification, are permitted provided that the following conditions are met:
7 //
8 // * Redistributions of source code must retain the above copyright notice,
9 //   this list of conditions and the following disclaimer.
10 // * Redistributions in binary form must reproduce the above copyright notice,
11 //   this list of conditions and the following disclaimer in the documentation
12 //   and/or other materials provided with the distribution.
13 // * Neither the name of Google Inc. nor the names of its contributors may be
14 //   used to endorse or promote products derived from this software without
15 //   specific prior written permission.
16 //
17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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27 // POSSIBILITY OF SUCH DAMAGE.
28 //
29 // Author: sameeragarwal@google.com (Sameer Agarwal)
30 //
31 // A solver for sparse linear least squares problem based on solving
32 // the normal equations via a sparse cholesky factorization.
33 
34 #ifndef CERES_INTERNAL_SPARSE_NORMAL_CHOLESKY_SOLVER_H_
35 #define CERES_INTERNAL_SPARSE_NORMAL_CHOLESKY_SOLVER_H_
36 
37 // This include must come before any #ifndef check on Ceres compile options.
38 #include "ceres/internal/port.h"
39 
40 #include "ceres/internal/macros.h"
41 #include "ceres/linear_solver.h"
42 #include "ceres/suitesparse.h"
43 #include "ceres/cxsparse.h"
44 
45 #ifdef CERES_USE_EIGEN_SPARSE
46 #include "Eigen/SparseCholesky"
47 #endif
48 
49 namespace ceres {
50 namespace internal {
51 
52 class CompressedRowSparseMatrix;
53 
54 // Solves the normal equations (A'A + D'D) x = A'b, using the CHOLMOD sparse
55 // cholesky solver.
56 class SparseNormalCholeskySolver : public CompressedRowSparseMatrixSolver {
57  public:
58   explicit SparseNormalCholeskySolver(const LinearSolver::Options& options);
59   virtual ~SparseNormalCholeskySolver();
60 
61  private:
62   virtual LinearSolver::Summary SolveImpl(
63       CompressedRowSparseMatrix* A,
64       const double* b,
65       const LinearSolver::PerSolveOptions& options,
66       double* x);
67 
68   LinearSolver::Summary SolveImplUsingSuiteSparse(
69       CompressedRowSparseMatrix* A,
70       const LinearSolver::PerSolveOptions& options,
71       double* rhs_and_solution);
72 
73   // Crashes if CSparse is not installed.
74   LinearSolver::Summary SolveImplUsingCXSparse(
75       CompressedRowSparseMatrix* A,
76       const LinearSolver::PerSolveOptions& options,
77       double* rhs_and_solution);
78 
79   // Crashes if CERES_USE_LGPGL_CODE is not defined.
80   LinearSolver::Summary SolveImplUsingEigen(
81       CompressedRowSparseMatrix* A,
82       const LinearSolver::PerSolveOptions& options,
83       double* rhs_and_solution);
84 
85   void FreeFactorization();
86 
87   SuiteSparse ss_;
88   // Cached factorization
89   cholmod_factor* factor_;
90 
91   CXSparse cxsparse_;
92   // Cached factorization
93   cs_dis* cxsparse_factor_;
94 
95 #ifdef CERES_USE_EIGEN_SPARSE
96   typedef Eigen::SimplicialLDLT<Eigen::SparseMatrix<double>,
97                                 Eigen::Upper> SimplicialLDLT;
98   scoped_ptr<SimplicialLDLT> simplicial_ldlt_;
99 #endif
100 
101   scoped_ptr<CompressedRowSparseMatrix> outer_product_;
102   vector<int> pattern_;
103   const LinearSolver::Options options_;
104   CERES_DISALLOW_COPY_AND_ASSIGN(SparseNormalCholeskySolver);
105 };
106 
107 }  // namespace internal
108 }  // namespace ceres
109 
110 #endif  // CERES_INTERNAL_SPARSE_NORMAL_CHOLESKY_SOLVER_H_
111