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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 // Interface definition for sparse matrices.
32 
33 #ifndef CERES_INTERNAL_SPARSE_MATRIX_H_
34 #define CERES_INTERNAL_SPARSE_MATRIX_H_
35 
36 #include <cstdio>
37 #include "ceres/linear_operator.h"
38 #include "ceres/internal/eigen.h"
39 #include "ceres/types.h"
40 
41 namespace ceres {
42 namespace internal {
43 
44 // This class defines the interface for storing and manipulating
45 // sparse matrices. The key property that differentiates different
46 // sparse matrices is how they are organized in memory and how the
47 // information about the sparsity structure of the matrix is
48 // stored. This has significant implications for linear solvers
49 // operating on these matrices.
50 //
51 // To deal with the different kinds of layouts, we will assume that a
52 // sparse matrix will have a two part representation. A values array
53 // that will be used to store the entries of the sparse matrix and
54 // some sort of a layout object that tells the user the sparsity
55 // structure and layout of the values array. For example in case of
56 // the TripletSparseMatrix, this information is carried in the rows
57 // and cols arrays and for the BlockSparseMatrix, this information is
58 // carried in the CompressedRowBlockStructure object.
59 //
60 // This interface deliberately does not contain any information about
61 // the structure of the sparse matrix as that seems to be highly
62 // matrix type dependent and we are at this stage unable to come up
63 // with an efficient high level interface that spans multiple sparse
64 // matrix types.
65 class SparseMatrix : public LinearOperator {
66  public:
67   virtual ~SparseMatrix();
68 
69   // y += Ax;
70   virtual void RightMultiply(const double* x, double* y) const = 0;
71   // y += A'x;
72   virtual void LeftMultiply(const double* x, double* y) const = 0;
73 
74   // In MATLAB notation sum(A.*A, 1)
75   virtual void SquaredColumnNorm(double* x) const = 0;
76   // A = A * diag(scale)
77   virtual void ScaleColumns(const double* scale) = 0;
78 
79   // A = 0. A->num_nonzeros() == 0 is true after this call. The
80   // sparsity pattern is preserved.
81   virtual void SetZero() = 0;
82 
83   // Resize and populate dense_matrix with a dense version of the
84   // sparse matrix.
85   virtual void ToDenseMatrix(Matrix* dense_matrix) const = 0;
86 
87   // Write out the matrix as a sequence of (i,j,s) triplets. This
88   // format is useful for loading the matrix into MATLAB/octave as a
89   // sparse matrix.
90   virtual void ToTextFile(FILE* file) const = 0;
91 
92   // Accessors for the values array that stores the entries of the
93   // sparse matrix. The exact interpreptation of the values of this
94   // array depends on the particular kind of SparseMatrix being
95   // accessed.
96   virtual double* mutable_values() = 0;
97   virtual const double* values() const = 0;
98 
99   virtual int num_rows() const = 0;
100   virtual int num_cols() const = 0;
101   virtual int num_nonzeros() const = 0;
102 };
103 
104 }  // namespace internal
105 }  // namespace ceres
106 
107 #endif  // CERES_INTERNAL_SPARSE_MATRIX_H_
108