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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 Free |
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18 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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19 |
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20 */ |
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21 |
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22 #if !defined (octave_dSparse_h) |
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23 #define octave_dSparse_h 1 |
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24 |
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25 #include "dMatrix.h" |
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26 #include "dNDArray.h" |
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27 #include "CMatrix.h" |
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28 #include "dColVector.h" |
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29 #include "CColVector.h" |
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30 |
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31 #include "dbleDET.h" |
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32 #include "MSparse.h" |
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33 #include "MSparse-defs.h" |
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34 #include "Sparse-op-defs.h" |
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35 #include "SparseType.h" |
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36 |
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37 class SparseComplexMatrix; |
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38 class SparseBoolMatrix; |
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39 |
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40 class |
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41 SparseMatrix : public MSparse<double> |
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42 { |
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43 public: |
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44 |
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45 typedef void (*solve_singularity_handler) (double rcond); |
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46 |
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47 SparseMatrix (void) : MSparse<double> () { } |
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48 |
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49 SparseMatrix (octave_idx_type r, octave_idx_type c) : MSparse<double> (r, c) { } |
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50 |
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51 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val) |
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52 : MSparse<double> (r, c, val) { } |
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53 |
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54 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { } |
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55 |
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56 SparseMatrix (const SparseMatrix& a, const dim_vector& dv) |
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57 : MSparse<double> (a, dv) { } |
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58 |
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59 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { } |
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60 |
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61 explicit SparseMatrix (const SparseBoolMatrix& a); |
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62 |
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63 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { } |
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64 |
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65 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { } |
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66 |
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67 explicit SparseMatrix (const Array<double> a, const Array<octave_idx_type>& r, |
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68 const Array<octave_idx_type>& c, octave_idx_type nr = -1, |
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69 octave_idx_type nc = -1, bool sum_terms = true) |
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70 : MSparse<double> (a, r, c, nr, nc, sum_terms) { } |
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71 |
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72 explicit SparseMatrix (const Array<double> a, const Array<double>& r, |
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73 const Array<double>& c, octave_idx_type nr = -1, |
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74 octave_idx_type nc = -1, bool sum_terms = true) |
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75 : MSparse<double> (a, r, c, nr, nc, sum_terms) { } |
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76 |
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77 SparseMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { } |
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78 |
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79 SparseMatrix& operator = (const SparseMatrix& a) |
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80 { |
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81 MSparse<double>::operator = (a); |
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82 return *this; |
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83 } |
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84 |
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85 bool operator == (const SparseMatrix& a) const; |
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86 bool operator != (const SparseMatrix& a) const; |
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87 |
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88 bool is_symmetric (void) const; |
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89 |
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90 SparseMatrix max (int dim = 0) const; |
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91 SparseMatrix max (Array2<octave_idx_type>& index, int dim = 0) const; |
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92 SparseMatrix min (int dim = 0) const; |
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93 SparseMatrix min (Array2<octave_idx_type>& index, int dim = 0) const; |
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94 |
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95 // destructive insert/delete/reorder operations |
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96 |
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97 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c); |
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98 |
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99 SparseMatrix concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx); |
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100 SparseComplexMatrix concat (const SparseComplexMatrix& rb, |
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101 const Array<octave_idx_type>& ra_idx); |
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102 |
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103 friend SparseMatrix real (const SparseComplexMatrix& a); |
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104 friend SparseMatrix imag (const SparseComplexMatrix& a); |
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105 |
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106 friend SparseMatrix atan2 (const double& x, const SparseMatrix& y); |
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107 friend SparseMatrix atan2 (const SparseMatrix& x, const double& y); |
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108 friend SparseMatrix atan2 (const SparseMatrix& x, const SparseMatrix& y); |
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109 |
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110 SparseMatrix transpose (void) const |
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111 { |
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112 return MSparse<double>::transpose (); |
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113 } |
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114 |
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115 SparseMatrix inverse (void) const; |
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116 SparseMatrix inverse (octave_idx_type& info) const; |
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117 SparseMatrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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118 int calc_cond = 1) const; |
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119 |
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120 DET determinant (void) const; |
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121 DET determinant (octave_idx_type& info) const; |
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122 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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123 |
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124 private: |
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125 // Diagonal matrix solvers |
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126 Matrix dsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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127 solve_singularity_handler sing_handler) const; |
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128 |
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129 ComplexMatrix dsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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130 double& rcond, solve_singularity_handler sing_handler) const; |
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131 |
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132 SparseMatrix dsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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133 double& rcond, solve_singularity_handler sing_handler) const; |
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134 |
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135 SparseComplexMatrix dsolve (SparseType &typ, const SparseComplexMatrix& b, |
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136 octave_idx_type& info, double& rcond, |
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137 solve_singularity_handler sing_handler) const; |
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138 |
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139 // Upper triangular matrix solvers |
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140 Matrix utsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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141 solve_singularity_handler sing_handler) const; |
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142 |
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143 ComplexMatrix utsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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144 double& rcond, solve_singularity_handler sing_handler) const; |
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145 |
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146 SparseMatrix utsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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147 double& rcond, solve_singularity_handler sing_handler) const; |
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148 |
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149 SparseComplexMatrix utsolve (SparseType &typ, const SparseComplexMatrix& b, |
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150 octave_idx_type& info, double& rcond, |
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151 solve_singularity_handler sing_handler) const; |
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152 |
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153 // Lower triangular matrix solvers |
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154 Matrix ltsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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155 solve_singularity_handler sing_handler) const; |
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156 |
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157 ComplexMatrix ltsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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158 double& rcond, solve_singularity_handler sing_handler) const; |
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159 |
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160 SparseMatrix ltsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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161 double& rcond, solve_singularity_handler sing_handler) const; |
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162 |
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163 SparseComplexMatrix ltsolve (SparseType &typ, const SparseComplexMatrix& b, |
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164 octave_idx_type& info, double& rcond, |
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165 solve_singularity_handler sing_handler) const; |
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166 |
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167 // Tridiagonal matrix solvers |
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168 Matrix trisolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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169 solve_singularity_handler sing_handler) const; |
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170 |
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171 ComplexMatrix trisolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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172 double& rcond, solve_singularity_handler sing_handler) const; |
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173 |
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174 SparseMatrix trisolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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175 double& rcond, solve_singularity_handler sing_handler) const; |
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176 |
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177 SparseComplexMatrix trisolve (SparseType &typ, const SparseComplexMatrix& b, |
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178 octave_idx_type& info, double& rcond, |
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179 solve_singularity_handler sing_handler) const; |
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180 |
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181 // Banded matrix solvers (umfpack/cholesky) |
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182 Matrix bsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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183 solve_singularity_handler sing_handler) const; |
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184 |
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185 ComplexMatrix bsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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186 double& rcond, solve_singularity_handler sing_handler) const; |
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187 |
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188 SparseMatrix bsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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189 double& rcond, solve_singularity_handler sing_handler) const; |
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190 |
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191 SparseComplexMatrix bsolve (SparseType &typ, const SparseComplexMatrix& b, |
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192 octave_idx_type& info, double& rcond, |
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193 solve_singularity_handler sing_handler) const; |
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194 |
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195 // Full matrix solvers (umfpack/cholesky) |
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196 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control, Matrix &Info, |
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197 solve_singularity_handler sing_handler) const; |
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198 |
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199 Matrix fsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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200 solve_singularity_handler sing_handler) const; |
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201 |
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202 ComplexMatrix fsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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203 double& rcond, solve_singularity_handler sing_handler) const; |
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204 |
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205 SparseMatrix fsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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206 double& rcond, solve_singularity_handler sing_handler) const; |
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207 |
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208 SparseComplexMatrix fsolve (SparseType &typ, const SparseComplexMatrix& b, |
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209 octave_idx_type& info, double& rcond, |
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210 solve_singularity_handler sing_handler) const; |
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211 |
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212 public: |
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213 // Generic interface to solver with no probing of type |
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214 Matrix solve (SparseType &typ, const Matrix& b) const; |
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215 Matrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info) const; |
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216 Matrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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217 double& rcond) const; |
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218 Matrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info, double& rcond, |
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219 solve_singularity_handler sing_handler) const; |
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220 |
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221 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b) const; |
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222 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, |
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223 octave_idx_type& info) const; |
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224 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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225 double& rcond) const; |
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226 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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227 double& rcond, solve_singularity_handler sing_handler) const; |
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228 |
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229 SparseMatrix solve (SparseType &typ, const SparseMatrix& b) const; |
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230 SparseMatrix solve (SparseType &typ, const SparseMatrix& b, |
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231 octave_idx_type& info) const; |
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232 SparseMatrix solve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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233 double& rcond) const; |
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234 SparseMatrix solve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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235 double& rcond, solve_singularity_handler sing_handler) const; |
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236 |
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237 SparseComplexMatrix solve (SparseType &typ, |
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238 const SparseComplexMatrix& b) const; |
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239 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, |
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240 octave_idx_type& info) const; |
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241 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, |
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242 octave_idx_type& info, double& rcond) const; |
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243 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, octave_idx_type& info, |
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244 double& rcond, solve_singularity_handler sing_handler) const; |
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245 |
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246 ColumnVector solve (SparseType &typ, const ColumnVector& b) const; |
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247 ColumnVector solve (SparseType &typ, const ColumnVector& b, |
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248 octave_idx_type& info) const; |
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249 ColumnVector solve (SparseType &typ, const ColumnVector& b, |
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250 octave_idx_type& info, double& rcond) const; |
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251 ColumnVector solve (SparseType &typ, const ColumnVector& b, octave_idx_type& info, |
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252 double& rcond, solve_singularity_handler sing_handler) const; |
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253 |
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254 ComplexColumnVector solve (SparseType &typ, |
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255 const ComplexColumnVector& b) const; |
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256 ComplexColumnVector solve (SparseType &typ, |
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257 const ComplexColumnVector& b, octave_idx_type& info) const; |
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258 ComplexColumnVector solve (SparseType &typ, const ComplexColumnVector& b, |
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259 octave_idx_type& info, double& rcond) const; |
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260 ComplexColumnVector solve (SparseType &typ, const ComplexColumnVector& b, |
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261 octave_idx_type& info, double& rcond, |
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262 solve_singularity_handler sing_handler) const; |
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263 |
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264 // Generic interface to solver with probing of type |
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265 Matrix solve (const Matrix& b) const; |
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266 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
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267 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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268 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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269 solve_singularity_handler sing_handler) const; |
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270 |
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271 ComplexMatrix solve (const ComplexMatrix& b) const; |
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272 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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273 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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274 double& rcond) const; |
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275 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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276 solve_singularity_handler sing_handler) const; |
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277 |
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278 SparseMatrix solve (const SparseMatrix& b) const; |
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279 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const; |
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280 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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281 double& rcond) const; |
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282 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, double& rcond, |
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283 solve_singularity_handler sing_handler) const; |
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284 |
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285 SparseComplexMatrix solve (const SparseComplexMatrix& b) const; |
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286 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const; |
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287 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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288 double& rcond) const; |
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289 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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290 double& rcond, |
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291 solve_singularity_handler sing_handler) const; |
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292 |
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293 ColumnVector solve (const ColumnVector& b) const; |
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294 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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295 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const; |
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296 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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297 solve_singularity_handler sing_handler) const; |
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298 |
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299 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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300 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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301 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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302 double& rcond) const; |
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303 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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304 double& rcond, |
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305 solve_singularity_handler sing_handler) const; |
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306 |
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307 // Minimum-norm solvers |
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308 Matrix lssolve (const Matrix& b) const; |
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309 Matrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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310 Matrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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311 |
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312 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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313 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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314 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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315 octave_idx_type& rank) const; |
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316 |
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317 SparseMatrix lssolve (const SparseMatrix& b) const; |
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318 SparseMatrix lssolve (const SparseMatrix& b, octave_idx_type& info) const; |
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319 SparseMatrix lssolve (const SparseMatrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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320 |
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321 SparseComplexMatrix lssolve (const SparseComplexMatrix& b) const; |
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322 SparseComplexMatrix lssolve (const SparseComplexMatrix& b, |
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323 octave_idx_type& info) const; |
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324 SparseComplexMatrix lssolve (const SparseComplexMatrix& b, octave_idx_type& info, |
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325 octave_idx_type& rank) const; |
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326 |
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327 ColumnVector lssolve (const ColumnVector& b) const; |
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328 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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329 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, octave_idx_type& rank) const; |
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330 |
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331 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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332 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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333 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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334 octave_idx_type& rank) const; |
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335 |
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336 // other operations |
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337 SparseMatrix map (d_d_Mapper f) const; |
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338 SparseBoolMatrix map (b_d_Mapper f) const; |
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339 |
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340 SparseMatrix& apply (d_d_Mapper f); |
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341 |
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342 bool any_element_is_negative (bool = false) const; |
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343 bool any_element_is_inf_or_nan (void) const; |
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344 bool all_elements_are_int_or_inf_or_nan (void) const; |
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345 bool all_integers (double& max_val, double& min_val) const; |
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346 bool too_large_for_float (void) const; |
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347 |
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348 SparseBoolMatrix operator ! (void) const; |
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349 |
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350 SparseBoolMatrix all (int dim = -1) const; |
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351 SparseBoolMatrix any (int dim = -1) const; |
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352 |
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353 SparseMatrix cumprod (int dim = -1) const; |
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354 SparseMatrix cumsum (int dim = -1) const; |
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355 SparseMatrix prod (int dim = -1) const; |
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356 SparseMatrix sum (int dim = -1) const; |
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357 SparseMatrix sumsq (int dim = -1) const; |
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358 SparseMatrix abs (void) const; |
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359 |
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360 SparseMatrix diag (octave_idx_type k = 0) const; |
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361 |
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362 Matrix matrix_value (void) const; |
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363 |
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364 SparseMatrix squeeze (void) const; |
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365 |
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366 SparseMatrix index (idx_vector& i, int resize_ok) const; |
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367 |
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368 SparseMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const; |
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369 |
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370 SparseMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const; |
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371 |
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372 SparseMatrix reshape (const dim_vector& new_dims) const; |
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373 |
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374 SparseMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const; |
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375 |
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376 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const; |
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377 |
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378 // i/o |
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379 |
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380 friend std::ostream& operator << (std::ostream& os, const SparseMatrix& a); |
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381 friend std::istream& operator >> (std::istream& is, SparseMatrix& a); |
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382 }; |
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383 |
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384 extern SparseMatrix operator * (const SparseMatrix& a, |
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385 const SparseMatrix& b); |
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386 |
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387 extern SparseMatrix min (double d, const SparseMatrix& m); |
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388 extern SparseMatrix min (const SparseMatrix& m, double d); |
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389 extern SparseMatrix min (const SparseMatrix& a, const SparseMatrix& b); |
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390 |
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391 extern SparseMatrix max (double d, const SparseMatrix& m); |
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392 extern SparseMatrix max (const SparseMatrix& m, double d); |
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393 extern SparseMatrix max (const SparseMatrix& a, const SparseMatrix& b); |
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394 |
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395 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double) |
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396 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double) |
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397 |
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398 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix) |
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399 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix) |
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400 |
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401 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix) |
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402 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix) |
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403 |
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404 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double) |
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405 |
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406 #endif |
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407 |
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408 /* |
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409 ;;; Local Variables: *** |
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410 ;;; mode: C++ *** |
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411 ;;; End: *** |
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412 */ |
