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1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 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)
26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
27 // POSSIBILITY OF SUCH DAMAGE.
28 //
29 // Author: strandmark@google.com (Petter Strandmark)
30 
31 #ifndef CERES_INTERNAL_CXSPARSE_H_
32 #define CERES_INTERNAL_CXSPARSE_H_
33 
34 #ifndef CERES_NO_CXSPARSE
35 
36 #include "cs.h"
37 
38 namespace ceres {
39 namespace internal {
40 
41 class CompressedRowSparseMatrix;
42 class TripletSparseMatrix;
43 
44 // This object provides access to solving linear systems using Cholesky
45 // factorization with a known symbolic factorization. This features does not
46 // explicity exist in CXSparse. The methods in the class are nonstatic because
47 // the class manages internal scratch space.
48 class CXSparse {
49  public:
50   CXSparse();
51   ~CXSparse();
52 
53   // Solves a symmetric linear system A * x = b using Cholesky factorization.
54   //  A                      - The system matrix.
55   //  symbolic_factorization - The symbolic factorization of A. This is obtained
56   //                           from AnalyzeCholesky.
57   //  b                      - The right hand size of the linear equation. This
58   //                           array will also recieve the solution.
59   // Returns false if Cholesky factorization of A fails.
60   bool SolveCholesky(cs_di* A, cs_dis* symbolic_factorization, double* b);
61 
62   // Creates a sparse matrix from a compressed-column form. No memory is
63   // allocated or copied; the structure A is filled out with info from the
64   // argument.
65   cs_di CreateSparseMatrixTransposeView(CompressedRowSparseMatrix* A);
66 
67   // Creates a new matrix from a triplet form. Deallocate the returned matrix
68   // with Free. May return NULL if the compression or allocation fails.
69   cs_di* CreateSparseMatrix(TripletSparseMatrix* A);
70 
71   // Computes a symbolic factorization of A that can be used in SolveCholesky.
72   // The returned matrix should be deallocated with Free when not used anymore.
73   cs_dis* AnalyzeCholesky(cs_di* A);
74 
75   // Deallocates the memory of a matrix obtained from AnalyzeCholesky.
76   void Free(cs_di* factor);
77   void Free(cs_dis* factor);
78 
79  private:
80   // Cached scratch space
81   CS_ENTRY* scratch_;
82   int scratch_size_;
83 };
84 
85 }  // namespace internal
86 }  // namespace ceres
87 
88 #endif  // CERES_NO_CXSPARSE
89 
90 #endif  // CERES_INTERNAL_CXSPARSE_H_
91