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1 /* |
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2 |
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3 Copyright (C) 2004 David Bateman |
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4 Copyright (C) 1998-2004 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the |
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, |
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19 Boston, MA 02110-1301, USA. |
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20 |
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21 */ |
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22 |
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23 #if !defined (octave_dSparse_h) |
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24 #define octave_dSparse_h 1 |
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25 |
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26 #include "dMatrix.h" |
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27 #include "dNDArray.h" |
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28 #include "CMatrix.h" |
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29 #include "dColVector.h" |
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30 #include "CColVector.h" |
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31 |
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32 #include "dbleDET.h" |
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33 #include "MSparse.h" |
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34 #include "MSparse-defs.h" |
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35 #include "Sparse-op-defs.h" |
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36 #include "MatrixType.h" |
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37 |
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38 class SparseComplexMatrix; |
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39 class SparseBoolMatrix; |
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40 |
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41 class |
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42 OCTAVE_API |
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43 SparseMatrix : public MSparse<double> |
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44 { |
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45 public: |
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46 |
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47 typedef void (*solve_singularity_handler) (double rcond); |
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48 |
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49 SparseMatrix (void) : MSparse<double> () { } |
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50 |
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51 SparseMatrix (octave_idx_type r, octave_idx_type c) : MSparse<double> (r, c) { } |
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52 |
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53 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val) |
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54 : MSparse<double> (r, c, val) { } |
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55 |
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56 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { } |
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57 |
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58 SparseMatrix (const SparseMatrix& a, const dim_vector& dv) |
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59 : MSparse<double> (a, dv) { } |
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60 |
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61 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { } |
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62 |
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63 explicit SparseMatrix (const SparseBoolMatrix& a); |
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64 |
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65 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { } |
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66 |
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67 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { } |
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68 |
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69 explicit SparseMatrix (const Array<double> a, const Array<octave_idx_type>& r, |
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70 const Array<octave_idx_type>& c, octave_idx_type nr = -1, |
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71 octave_idx_type nc = -1, bool sum_terms = true) |
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72 : MSparse<double> (a, r, c, nr, nc, sum_terms) { } |
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73 |
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74 explicit SparseMatrix (const Array<double> a, const Array<double>& r, |
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75 const Array<double>& c, octave_idx_type nr = -1, |
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76 octave_idx_type nc = -1, bool sum_terms = true) |
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77 : MSparse<double> (a, r, c, nr, nc, sum_terms) { } |
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78 |
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79 SparseMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { } |
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80 |
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81 SparseMatrix& operator = (const SparseMatrix& a) |
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82 { |
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83 MSparse<double>::operator = (a); |
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84 return *this; |
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85 } |
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86 |
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87 bool operator == (const SparseMatrix& a) const; |
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88 bool operator != (const SparseMatrix& a) const; |
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89 |
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90 bool is_symmetric (void) const; |
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91 |
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92 SparseMatrix max (int dim = 0) const; |
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93 SparseMatrix max (Array2<octave_idx_type>& index, int dim = 0) const; |
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94 SparseMatrix min (int dim = 0) const; |
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95 SparseMatrix min (Array2<octave_idx_type>& index, int dim = 0) const; |
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96 |
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97 // destructive insert/delete/reorder operations |
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98 |
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99 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c); |
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100 |
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101 SparseMatrix concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx); |
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102 SparseComplexMatrix concat (const SparseComplexMatrix& rb, |
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103 const Array<octave_idx_type>& ra_idx); |
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104 |
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105 friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a); |
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106 friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a); |
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107 |
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108 friend OCTAVE_API SparseMatrix atan2 (const double& x, const SparseMatrix& y); |
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109 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const double& y); |
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110 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const SparseMatrix& y); |
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111 |
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112 SparseMatrix transpose (void) const |
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113 { |
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114 return MSparse<double>::transpose (); |
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115 } |
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116 SparseMatrix hermitian (void) const { return transpose (); } |
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117 |
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118 private: |
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119 SparseMatrix dinverse (MatrixType &mattyp, octave_idx_type& info, |
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120 double& rcond, const bool force = false, |
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121 const bool calccond = true) const; |
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122 |
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123 SparseMatrix tinverse (MatrixType &mattyp, octave_idx_type& info, |
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124 double& rcond, const bool force = false, |
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125 const bool calccond = true) const; |
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126 |
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127 public: |
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128 SparseMatrix inverse (void) const; |
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129 SparseMatrix inverse (MatrixType& mattype) const; |
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130 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const; |
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131 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info, |
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132 double& rcond, int force = 0, int calc_cond = 1) const; |
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133 |
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134 DET determinant (void) const; |
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135 DET determinant (octave_idx_type& info) const; |
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136 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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137 |
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138 private: |
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139 // Diagonal matrix solvers |
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140 Matrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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141 double& rcond, solve_singularity_handler sing_handler, |
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142 bool calc_cond = false) const; |
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143 |
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144 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b, |
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145 octave_idx_type& info, double& rcond, |
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146 solve_singularity_handler sing_handler, |
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147 bool calc_cond = false) const; |
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148 |
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149 SparseMatrix dsolve (MatrixType &typ, const SparseMatrix& b, |
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150 octave_idx_type& info, double& rcond, |
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151 solve_singularity_handler sing_handler, |
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152 bool calc_cond = false) const; |
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153 |
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154 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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155 octave_idx_type& info, double& rcond, |
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156 solve_singularity_handler sing_handler, |
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157 bool calc_cond = false) const; |
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158 |
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159 // Upper triangular matrix solvers |
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160 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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161 double& rcond, solve_singularity_handler sing_handler, |
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162 bool calc_cond = false) const; |
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163 |
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164 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b, |
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165 octave_idx_type& info, double& rcond, |
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166 solve_singularity_handler sing_handler, |
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167 bool calc_cond = false) const; |
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168 |
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169 SparseMatrix utsolve (MatrixType &typ, const SparseMatrix& b, |
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170 octave_idx_type& info, double& rcond, |
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171 solve_singularity_handler sing_handler, |
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172 bool calc_cond = false) const; |
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173 |
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174 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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175 octave_idx_type& info, double& rcond, |
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176 solve_singularity_handler sing_handler, |
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177 bool calc_cond = false) const; |
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178 |
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179 // Lower triangular matrix solvers |
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180 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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181 double& rcond, solve_singularity_handler sing_handler, |
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182 bool calc_cond = false) const; |
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183 |
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184 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b, |
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185 octave_idx_type& info, double& rcond, |
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186 solve_singularity_handler sing_handler, |
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187 bool calc_cond = false) const; |
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188 |
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189 SparseMatrix ltsolve (MatrixType &typ, const SparseMatrix& b, |
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190 octave_idx_type& info, double& rcond, |
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191 solve_singularity_handler sing_handler, |
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192 bool calc_cond = false) const; |
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193 |
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194 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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195 octave_idx_type& info, double& rcond, |
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196 solve_singularity_handler sing_handler, |
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197 bool calc_cond = false) const; |
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198 |
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199 // Tridiagonal matrix solvers |
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200 Matrix trisolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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201 double& rcond, solve_singularity_handler sing_handler, |
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202 bool calc_cond = false) const; |
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203 |
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204 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b, |
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205 octave_idx_type& info, double& rcond, |
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206 solve_singularity_handler sing_handler, |
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207 bool calc_cond = false) const; |
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208 |
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209 SparseMatrix trisolve (MatrixType &typ, const SparseMatrix& b, |
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210 octave_idx_type& info, double& rcond, |
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211 solve_singularity_handler sing_handler, |
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212 bool calc_cond = false) const; |
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213 |
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214 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b, |
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215 octave_idx_type& info, double& rcond, |
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216 solve_singularity_handler sing_handler, |
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217 bool calc_cond = false) const; |
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218 |
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219 // Banded matrix solvers (umfpack/cholesky) |
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220 Matrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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221 double& rcond, solve_singularity_handler sing_handler, |
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222 bool calc_cond = false) const; |
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223 |
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224 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b, |
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225 octave_idx_type& info, double& rcond, |
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226 solve_singularity_handler sing_handler, |
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227 bool calc_cond = false) const; |
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228 |
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229 SparseMatrix bsolve (MatrixType &typ, const SparseMatrix& b, |
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230 octave_idx_type& info, double& rcond, |
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231 solve_singularity_handler sing_handler, |
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232 bool calc_cond = false) const; |
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233 |
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234 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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235 octave_idx_type& info, double& rcond, |
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236 solve_singularity_handler sing_handler, |
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237 bool calc_cond = false) const; |
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238 |
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239 // Full matrix solvers (umfpack/cholesky) |
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240 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control, |
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241 Matrix &Info, solve_singularity_handler sing_handler, |
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242 bool calc_cond = false) const; |
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243 |
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244 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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245 double& rcond, solve_singularity_handler sing_handler, |
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246 bool calc_cond = false) const; |
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247 |
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248 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b, |
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249 octave_idx_type& info, double& rcond, |
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250 solve_singularity_handler sing_handler, |
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251 bool calc_cond = false) const; |
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252 |
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253 SparseMatrix fsolve (MatrixType &typ, const SparseMatrix& b, |
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254 octave_idx_type& info, double& rcond, |
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255 solve_singularity_handler sing_handler, |
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256 bool calc_cond = false) const; |
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257 |
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258 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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259 octave_idx_type& info, double& rcond, |
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260 solve_singularity_handler sing_handler, |
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261 bool calc_cond = false) const; |
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262 |
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263 public: |
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264 // Generic interface to solver with no probing of type |
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265 Matrix solve (MatrixType &typ, const Matrix& b) const; |
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266 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; |
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267 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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268 double& rcond) const; |
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269 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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270 double& rcond, solve_singularity_handler sing_handler, |
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271 bool singular_fallback = true) const; |
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272 |
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273 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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274 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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275 octave_idx_type& info) const; |
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276 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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277 octave_idx_type& info, double& rcond) const; |
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278 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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279 octave_idx_type& info, double& rcond, |
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280 solve_singularity_handler sing_handler, |
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281 bool singular_fallback = true) const; |
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282 |
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283 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b) const; |
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284 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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285 octave_idx_type& info) const; |
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286 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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287 octave_idx_type& info, double& rcond) const; |
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288 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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289 octave_idx_type& info, double& rcond, |
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290 solve_singularity_handler sing_handler, |
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291 bool singular_fallback = true) const; |
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292 |
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293 SparseComplexMatrix solve (MatrixType &typ, |
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294 const SparseComplexMatrix& b) const; |
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295 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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296 octave_idx_type& info) const; |
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297 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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298 octave_idx_type& info, double& rcond) const; |
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299 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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300 octave_idx_type& info, double& rcond, |
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301 solve_singularity_handler sing_handler, |
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302 bool singular_fallabck = true) const; |
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303 |
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304 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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305 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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306 octave_idx_type& info) const; |
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307 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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308 octave_idx_type& info, double& rcond) const; |
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309 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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310 octave_idx_type& info, double& rcond, |
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311 solve_singularity_handler sing_handler) const; |
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312 |
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313 ComplexColumnVector solve (MatrixType &typ, |
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314 const ComplexColumnVector& b) const; |
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315 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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316 octave_idx_type& info) const; |
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317 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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318 octave_idx_type& info, double& rcond) const; |
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319 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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320 octave_idx_type& info, double& rcond, |
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321 solve_singularity_handler sing_handler) const; |
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322 |
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323 // Generic interface to solver with probing of type |
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324 Matrix solve (const Matrix& b) const; |
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325 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
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326 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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327 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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328 solve_singularity_handler sing_handler) const; |
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329 |
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330 ComplexMatrix solve (const ComplexMatrix& b) const; |
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331 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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332 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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333 double& rcond) const; |
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334 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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335 solve_singularity_handler sing_handler) const; |
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336 |
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337 SparseMatrix solve (const SparseMatrix& b) const; |
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338 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const; |
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339 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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340 double& rcond) const; |
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341 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, double& rcond, |
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342 solve_singularity_handler sing_handler) const; |
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343 |
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344 SparseComplexMatrix solve (const SparseComplexMatrix& b) const; |
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345 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const; |
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346 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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347 double& rcond) const; |
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348 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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349 double& rcond, |
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350 solve_singularity_handler sing_handler) const; |
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351 |
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352 ColumnVector solve (const ColumnVector& b) const; |
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353 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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354 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const; |
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355 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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5164
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356 solve_singularity_handler sing_handler) const; |
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357 |
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358 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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5275
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359 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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360 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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361 double& rcond) const; |
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5275
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362 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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363 double& rcond, |
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364 solve_singularity_handler sing_handler) const; |
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365 |
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366 // other operations |
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367 SparseMatrix map (d_d_Mapper f) const; |
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368 SparseBoolMatrix map (b_d_Mapper f) const; |
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369 |
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370 SparseMatrix& apply (d_d_Mapper f); |
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371 |
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372 bool any_element_is_negative (bool = false) const; |
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373 bool any_element_is_inf_or_nan (void) const; |
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374 bool all_elements_are_int_or_inf_or_nan (void) const; |
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375 bool all_integers (double& max_val, double& min_val) const; |
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376 bool too_large_for_float (void) const; |
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377 |
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378 SparseBoolMatrix operator ! (void) const; |
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379 |
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380 SparseBoolMatrix all (int dim = -1) const; |
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381 SparseBoolMatrix any (int dim = -1) const; |
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382 |
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383 SparseMatrix cumprod (int dim = -1) const; |
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384 SparseMatrix cumsum (int dim = -1) const; |
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385 SparseMatrix prod (int dim = -1) const; |
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386 SparseMatrix sum (int dim = -1) const; |
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387 SparseMatrix sumsq (int dim = -1) const; |
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388 SparseMatrix abs (void) const; |
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389 |
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5275
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390 SparseMatrix diag (octave_idx_type k = 0) const; |
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5164
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391 |
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392 Matrix matrix_value (void) const; |
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393 |
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394 SparseMatrix squeeze (void) const; |
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395 |
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396 SparseMatrix index (idx_vector& i, int resize_ok) const; |
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397 |
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398 SparseMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const; |
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399 |
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400 SparseMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const; |
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401 |
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402 SparseMatrix reshape (const dim_vector& new_dims) const; |
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403 |
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5275
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404 SparseMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const; |
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5164
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405 |
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5275
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406 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const; |
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5164
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407 |
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408 // i/o |
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409 |
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6108
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410 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const SparseMatrix& a); |
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411 friend OCTAVE_API std::istream& operator >> (std::istream& is, SparseMatrix& a); |
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5164
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412 }; |
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413 |
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5509
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414 // Publish externally used friend functions. |
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415 |
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6108
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416 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a); |
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417 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a); |
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5509
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418 |
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419 // Other operators. |
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420 |
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6108
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421 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a, |
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5164
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422 const SparseMatrix& b); |
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6108
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423 extern OCTAVE_API Matrix operator * (const Matrix& a, |
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5429
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424 const SparseMatrix& b); |
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6108
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425 extern OCTAVE_API Matrix operator * (const SparseMatrix& a, |
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5429
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426 const Matrix& b); |
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5164
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427 |
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6108
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428 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m); |
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429 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d); |
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430 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a, const SparseMatrix& b); |
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5164
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431 |
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6108
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432 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m); |
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433 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d); |
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434 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a, const SparseMatrix& b); |
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5164
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435 |
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436 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double) |
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437 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double) |
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438 |
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439 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix) |
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440 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix) |
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441 |
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442 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix) |
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443 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix) |
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444 |
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445 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double) |
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446 |
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5351
|
447 #ifdef IDX_TYPE_LONG |
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5322
|
448 #define UMFPACK_DNAME(name) umfpack_dl_ ## name |
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449 #else |
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450 #define UMFPACK_DNAME(name) umfpack_di_ ## name |
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451 #endif |
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452 |
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5164
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453 #endif |
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454 |
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455 /* |
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456 ;;; Local Variables: *** |
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457 ;;; mode: C++ *** |
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458 ;;; End: *** |
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|
459 */ |
