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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 SparseMatrix (const dim_vector& dv, octave_idx_type nz = 0) : |
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54 MSparse<double> (dv, nz) { } |
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55 |
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56 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val) |
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57 : MSparse<double> (r, c, val) { } |
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58 |
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59 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { } |
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60 |
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61 SparseMatrix (const SparseMatrix& a, const dim_vector& dv) |
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62 : MSparse<double> (a, dv) { } |
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63 |
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64 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { } |
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65 |
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66 explicit SparseMatrix (const SparseBoolMatrix& a); |
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67 |
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68 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { } |
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69 |
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70 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { } |
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71 |
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72 explicit SparseMatrix (const Array<double> a, const Array<octave_idx_type>& r, |
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73 const Array<octave_idx_type>& 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 explicit SparseMatrix (const Array<double> a, const Array<double>& r, |
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78 const Array<double>& c, octave_idx_type nr = -1, |
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79 octave_idx_type nc = -1, bool sum_terms = true) |
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80 : MSparse<double> (a, r, c, nr, nc, sum_terms) { } |
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81 |
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82 SparseMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { } |
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83 |
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84 SparseMatrix& operator = (const SparseMatrix& a) |
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85 { |
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86 MSparse<double>::operator = (a); |
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87 return *this; |
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88 } |
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89 |
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90 bool operator == (const SparseMatrix& a) const; |
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91 bool operator != (const SparseMatrix& a) const; |
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92 |
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93 bool is_symmetric (void) const; |
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94 |
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95 SparseMatrix max (int dim = 0) const; |
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96 SparseMatrix max (Array2<octave_idx_type>& index, int dim = 0) const; |
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97 SparseMatrix min (int dim = 0) const; |
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98 SparseMatrix min (Array2<octave_idx_type>& index, int dim = 0) const; |
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99 |
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100 // destructive insert/delete/reorder operations |
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101 |
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102 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c); |
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103 |
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104 SparseMatrix& insert (const SparseMatrix& a, const Array<octave_idx_type>& indx); |
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105 |
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106 SparseMatrix concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx); |
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107 SparseComplexMatrix concat (const SparseComplexMatrix& rb, |
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108 const Array<octave_idx_type>& ra_idx); |
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109 |
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110 friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a); |
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111 friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a); |
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112 |
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113 friend OCTAVE_API SparseMatrix atan2 (const double& x, const SparseMatrix& y); |
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114 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const double& y); |
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115 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const SparseMatrix& y); |
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116 |
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117 SparseMatrix transpose (void) const |
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118 { |
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119 return MSparse<double>::transpose (); |
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120 } |
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121 SparseMatrix hermitian (void) const { return transpose (); } |
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122 |
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123 private: |
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124 SparseMatrix dinverse (MatrixType &mattyp, octave_idx_type& info, |
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125 double& rcond, const bool force = false, |
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126 const bool calccond = true) const; |
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127 |
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128 SparseMatrix tinverse (MatrixType &mattyp, octave_idx_type& info, |
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129 double& rcond, const bool force = false, |
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130 const bool calccond = true) const; |
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131 |
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132 public: |
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133 SparseMatrix inverse (void) const; |
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134 SparseMatrix inverse (MatrixType& mattype) const; |
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135 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const; |
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136 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info, |
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137 double& rcond, int force = 0, int calc_cond = 1) const; |
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138 |
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139 DET determinant (void) const; |
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140 DET determinant (octave_idx_type& info) const; |
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141 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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142 |
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143 private: |
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144 // Diagonal matrix solvers |
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145 Matrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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146 double& rcond, 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 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix dsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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160 octave_idx_type& info, double& rcond, |
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161 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 // Upper triangular matrix solvers |
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165 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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166 double& rcond, 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 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix utsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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180 octave_idx_type& info, double& rcond, |
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181 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 // Lower triangular matrix solvers |
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185 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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186 double& rcond, 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 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix ltsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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200 octave_idx_type& info, double& rcond, |
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201 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 // Tridiagonal matrix solvers |
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205 Matrix trisolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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206 double& rcond, 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 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix trisolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b, |
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220 octave_idx_type& info, double& rcond, |
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221 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 // Banded matrix solvers (umfpack/cholesky) |
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225 Matrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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226 double& rcond, 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 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix bsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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240 octave_idx_type& info, double& rcond, |
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241 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 // Full matrix solvers (umfpack/cholesky) |
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245 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control, |
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246 Matrix &Info, solve_singularity_handler sing_handler, |
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247 bool calc_cond = false) const; |
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248 |
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249 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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250 double& rcond, 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 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix fsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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264 octave_idx_type& info, double& rcond, |
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265 solve_singularity_handler sing_handler, |
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266 bool calc_cond = false) const; |
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267 |
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268 public: |
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269 // Generic interface to solver with no probing of type |
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270 Matrix solve (MatrixType &typ, const Matrix& b) const; |
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271 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; |
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272 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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273 double& rcond) const; |
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274 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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275 double& rcond, solve_singularity_handler sing_handler, |
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276 bool singular_fallback = true) const; |
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277 |
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278 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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279 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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280 octave_idx_type& info) const; |
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281 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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282 octave_idx_type& info, double& rcond) const; |
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283 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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284 octave_idx_type& info, double& rcond, |
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285 solve_singularity_handler sing_handler, |
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286 bool singular_fallback = true) const; |
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287 |
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288 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b) const; |
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289 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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290 octave_idx_type& info) const; |
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291 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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292 octave_idx_type& info, double& rcond) const; |
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293 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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294 octave_idx_type& info, double& rcond, |
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295 solve_singularity_handler sing_handler, |
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296 bool singular_fallback = true) const; |
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297 |
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298 SparseComplexMatrix solve (MatrixType &typ, |
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299 const SparseComplexMatrix& b) const; |
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300 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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301 octave_idx_type& info) const; |
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302 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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303 octave_idx_type& info, double& rcond) const; |
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304 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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305 octave_idx_type& info, double& rcond, |
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306 solve_singularity_handler sing_handler, |
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307 bool singular_fallabck = true) const; |
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308 |
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309 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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310 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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311 octave_idx_type& info) const; |
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312 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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313 octave_idx_type& info, double& rcond) const; |
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314 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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315 octave_idx_type& info, double& rcond, |
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316 solve_singularity_handler sing_handler) const; |
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317 |
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318 ComplexColumnVector solve (MatrixType &typ, |
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319 const ComplexColumnVector& b) const; |
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320 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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321 octave_idx_type& info) const; |
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322 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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323 octave_idx_type& info, double& rcond) const; |
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324 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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325 octave_idx_type& info, double& rcond, |
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326 solve_singularity_handler sing_handler) const; |
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327 |
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328 // Generic interface to solver with probing of type |
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329 Matrix solve (const Matrix& b) const; |
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330 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
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331 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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332 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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333 solve_singularity_handler sing_handler) const; |
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334 |
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335 ComplexMatrix solve (const ComplexMatrix& b) const; |
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336 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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337 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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338 double& rcond) const; |
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339 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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340 solve_singularity_handler sing_handler) const; |
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341 |
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342 SparseMatrix solve (const SparseMatrix& b) const; |
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343 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const; |
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344 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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345 double& rcond) const; |
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346 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, double& rcond, |
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347 solve_singularity_handler sing_handler) const; |
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348 |
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349 SparseComplexMatrix solve (const SparseComplexMatrix& b) const; |
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350 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const; |
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351 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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352 double& rcond) const; |
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353 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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354 double& rcond, |
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355 solve_singularity_handler sing_handler) const; |
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356 |
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357 ColumnVector solve (const ColumnVector& b) const; |
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5275
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358 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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359 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const; |
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360 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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5164
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361 solve_singularity_handler sing_handler) const; |
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362 |
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363 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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5275
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364 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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365 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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366 double& rcond) const; |
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5275
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367 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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368 double& rcond, |
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369 solve_singularity_handler sing_handler) const; |
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370 |
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371 // other operations |
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372 SparseMatrix map (d_d_Mapper f) const; |
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373 SparseBoolMatrix map (b_d_Mapper f) const; |
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374 |
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375 SparseMatrix& apply (d_d_Mapper f); |
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376 |
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377 bool any_element_is_negative (bool = false) const; |
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378 bool any_element_is_inf_or_nan (void) const; |
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6989
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379 bool all_elements_are_zero (void) const; |
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5164
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380 bool all_elements_are_int_or_inf_or_nan (void) const; |
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381 bool all_integers (double& max_val, double& min_val) const; |
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382 bool too_large_for_float (void) const; |
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383 |
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384 SparseBoolMatrix operator ! (void) const; |
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385 |
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386 SparseBoolMatrix all (int dim = -1) const; |
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387 SparseBoolMatrix any (int dim = -1) const; |
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388 |
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389 SparseMatrix cumprod (int dim = -1) const; |
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390 SparseMatrix cumsum (int dim = -1) const; |
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391 SparseMatrix prod (int dim = -1) const; |
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392 SparseMatrix sum (int dim = -1) const; |
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393 SparseMatrix sumsq (int dim = -1) const; |
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394 SparseMatrix abs (void) const; |
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395 |
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5275
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396 SparseMatrix diag (octave_idx_type k = 0) const; |
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5164
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397 |
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398 Matrix matrix_value (void) const; |
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399 |
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400 SparseMatrix squeeze (void) const; |
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401 |
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402 SparseMatrix index (idx_vector& i, int resize_ok) const; |
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403 |
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404 SparseMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const; |
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405 |
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406 SparseMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const; |
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407 |
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408 SparseMatrix reshape (const dim_vector& new_dims) const; |
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409 |
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5275
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410 SparseMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const; |
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5164
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411 |
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5275
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412 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const; |
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5164
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413 |
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414 // i/o |
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415 |
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6108
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416 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const SparseMatrix& a); |
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417 friend OCTAVE_API std::istream& operator >> (std::istream& is, SparseMatrix& a); |
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5164
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418 }; |
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419 |
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5509
|
420 // Publish externally used friend functions. |
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421 |
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6108
|
422 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a); |
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423 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a); |
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5509
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424 |
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425 // Other operators. |
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426 |
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6108
|
427 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a, |
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5164
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428 const SparseMatrix& b); |
|
6108
|
429 extern OCTAVE_API Matrix operator * (const Matrix& a, |
|
5429
|
430 const SparseMatrix& b); |
|
6108
|
431 extern OCTAVE_API Matrix operator * (const SparseMatrix& a, |
|
5429
|
432 const Matrix& b); |
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5164
|
433 |
|
6108
|
434 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m); |
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435 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d); |
|
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436 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a, const SparseMatrix& b); |
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5164
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437 |
|
6108
|
438 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m); |
|
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439 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d); |
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440 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a, const SparseMatrix& b); |
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5164
|
441 |
|
6708
|
442 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double, OCTAVE_API) |
|
|
443 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double, OCTAVE_API) |
|
5164
|
444 |
|
6708
|
445 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix, OCTAVE_API) |
|
|
446 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix, OCTAVE_API) |
|
5164
|
447 |
|
6708
|
448 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API) |
|
|
449 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API) |
|
5164
|
450 |
|
|
451 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double) |
|
|
452 |
|
5351
|
453 #ifdef IDX_TYPE_LONG |
|
5322
|
454 #define UMFPACK_DNAME(name) umfpack_dl_ ## name |
|
|
455 #else |
|
|
456 #define UMFPACK_DNAME(name) umfpack_di_ ## name |
|
|
457 #endif |
|
|
458 |
|
5164
|
459 #endif |
|
|
460 |
|
|
461 /* |
|
|
462 ;;; Local Variables: *** |
|
|
463 ;;; mode: C++ *** |
|
|
464 ;;; End: *** |
|
|
465 */ |
