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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 (at) 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