annotate liboctave/dSparse.h @ 8335:64cf956a109c

templatize & fix DET
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 19 Nov 2008 11:23:07 +0100
parents b11c31849b44
children 8b1a2555c4e2
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1 /*
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2
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3 Copyright (C) 2004, 2005, 2006, 2007 David Bateman
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4 Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003, 2004 Andy Adler
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #if !defined (octave_dSparse_h)
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25 #define octave_dSparse_h 1
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26
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27 #include "dMatrix.h"
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28 #include "dNDArray.h"
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29 #include "CMatrix.h"
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30 #include "dColVector.h"
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31 #include "CColVector.h"
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32
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33 #include "DET.h"
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34 #include "MSparse.h"
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35 #include "MSparse-defs.h"
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36 #include "Sparse-op-defs.h"
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37 #include "MatrixType.h"
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38
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39 class SparseComplexMatrix;
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40 class SparseBoolMatrix;
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41
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42 class
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43 OCTAVE_API
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44 SparseMatrix : public MSparse<double>
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45 {
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46 public:
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47
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48 typedef void (*solve_singularity_handler) (double rcond);
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49
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50 SparseMatrix (void) : MSparse<double> () { }
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51
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52 SparseMatrix (octave_idx_type r, octave_idx_type c) : MSparse<double> (r, c) { }
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53
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54 SparseMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
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55 MSparse<double> (dv, nz) { }
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56
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57 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val)
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58 : MSparse<double> (r, c, val) { }
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59
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60 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { }
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61
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62 SparseMatrix (const SparseMatrix& a, const dim_vector& dv)
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63 : MSparse<double> (a, dv) { }
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64
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65 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { }
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66
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67 explicit SparseMatrix (const SparseBoolMatrix& a);
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68
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69 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { }
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70
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71 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { }
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72
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73 explicit SparseMatrix (const Array<double> a, const Array<octave_idx_type>& r,
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74 const Array<octave_idx_type>& c, octave_idx_type nr = -1,
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75 octave_idx_type nc = -1, bool sum_terms = true)
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76 : MSparse<double> (a, r, c, nr, nc, sum_terms) { }
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77
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78 explicit SparseMatrix (const Array<double> a, const Array<double>& r,
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79 const Array<double>& c, octave_idx_type nr = -1,
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80 octave_idx_type nc = -1, bool sum_terms = true)
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81 : MSparse<double> (a, r, c, nr, nc, sum_terms) { }
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82
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83 SparseMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { }
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84
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85 SparseMatrix& operator = (const SparseMatrix& a)
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86 {
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87 MSparse<double>::operator = (a);
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88 return *this;
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89 }
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90
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91 bool operator == (const SparseMatrix& a) const;
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92 bool operator != (const SparseMatrix& a) const;
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93
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94 bool is_symmetric (void) const;
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95
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96 SparseMatrix max (int dim = 0) const;
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97 SparseMatrix max (Array2<octave_idx_type>& index, int dim = 0) const;
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98 SparseMatrix min (int dim = 0) const;
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99 SparseMatrix min (Array2<octave_idx_type>& index, int dim = 0) const;
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100
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101 // destructive insert/delete/reorder operations
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102
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103 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c);
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104
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105 SparseMatrix& insert (const SparseMatrix& a, const Array<octave_idx_type>& indx);
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106
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107 SparseMatrix concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx);
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108 SparseComplexMatrix concat (const SparseComplexMatrix& rb,
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109 const Array<octave_idx_type>& ra_idx);
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110
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111 friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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112 friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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113
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114 friend OCTAVE_API SparseMatrix atan2 (const double& x, const SparseMatrix& y);
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115 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const double& y);
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116 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const SparseMatrix& y);
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117
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118 SparseMatrix transpose (void) const
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119 {
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120 return MSparse<double>::transpose ();
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121 }
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122 SparseMatrix hermitian (void) const { return transpose (); }
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123
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124 // extract row or column i.
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125
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126 RowVector row (octave_idx_type i) const;
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127
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128 ColumnVector column (octave_idx_type i) const;
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129
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130 private:
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131 SparseMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
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132 double& rcond, const bool force = false,
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133 const bool calccond = true) const;
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134
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135 SparseMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
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136 double& rcond, const bool force = false,
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137 const bool calccond = true) const;
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138
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139 public:
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140 SparseMatrix inverse (void) const;
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141 SparseMatrix inverse (MatrixType& mattype) const;
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142 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const;
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143 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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144 double& rcond, int force = 0, int calc_cond = 1) const;
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145
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146 DET determinant (void) const;
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147 DET determinant (octave_idx_type& info) const;
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148 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const;
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149
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150 private:
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151 // Diagonal matrix solvers
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152 Matrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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153 double& rcond, solve_singularity_handler sing_handler,
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154 bool calc_cond = false) const;
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155
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156 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
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157 octave_idx_type& info, double& rcond,
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158 solve_singularity_handler sing_handler,
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159 bool calc_cond = false) const;
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160
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161 SparseMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
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162 octave_idx_type& info, double& rcond,
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163 solve_singularity_handler sing_handler,
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164 bool calc_cond = false) const;
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165
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166 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
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167 octave_idx_type& info, double& rcond,
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168 solve_singularity_handler sing_handler,
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169 bool calc_cond = false) const;
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170
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171 // Upper triangular matrix solvers
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172 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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173 double& rcond, solve_singularity_handler sing_handler,
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174 bool calc_cond = false) const;
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175
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176 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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177 octave_idx_type& info, double& rcond,
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178 solve_singularity_handler sing_handler,
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179 bool calc_cond = false) const;
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180
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181 SparseMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
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182 octave_idx_type& info, double& rcond,
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183 solve_singularity_handler sing_handler,
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184 bool calc_cond = false) const;
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185
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186 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
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187 octave_idx_type& info, double& rcond,
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188 solve_singularity_handler sing_handler,
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189 bool calc_cond = false) const;
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190
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191 // Lower triangular matrix solvers
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192 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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193 double& rcond, solve_singularity_handler sing_handler,
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194 bool calc_cond = false) const;
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195
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196 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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197 octave_idx_type& info, double& rcond,
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198 solve_singularity_handler sing_handler,
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199 bool calc_cond = false) const;
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200
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201 SparseMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
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202 octave_idx_type& info, double& rcond,
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203 solve_singularity_handler sing_handler,
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204 bool calc_cond = false) const;
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205
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206 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b,
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207 octave_idx_type& info, double& rcond,
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208 solve_singularity_handler sing_handler,
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209 bool calc_cond = false) const;
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210
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211 // Tridiagonal matrix solvers
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212 Matrix trisolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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213 double& rcond, solve_singularity_handler sing_handler,
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214 bool calc_cond = false) const;
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215
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216 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
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217 octave_idx_type& info, double& rcond,
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218 solve_singularity_handler sing_handler,
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219 bool calc_cond = false) const;
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220
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221 SparseMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
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222 octave_idx_type& info, double& rcond,
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223 solve_singularity_handler sing_handler,
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224 bool calc_cond = false) const;
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225
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226 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
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227 octave_idx_type& info, double& rcond,
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228 solve_singularity_handler sing_handler,
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229 bool calc_cond = false) const;
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230
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231 // Banded matrix solvers (umfpack/cholesky)
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232 Matrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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233 double& rcond, solve_singularity_handler sing_handler,
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234 bool calc_cond = false) const;
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235
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236 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
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237 octave_idx_type& info, double& rcond,
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238 solve_singularity_handler sing_handler,
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239 bool calc_cond = false) const;
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240
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241 SparseMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
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242 octave_idx_type& info, double& rcond,
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243 solve_singularity_handler sing_handler,
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244 bool calc_cond = false) const;
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245
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246 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
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247 octave_idx_type& info, double& rcond,
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248 solve_singularity_handler sing_handler,
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249 bool calc_cond = false) const;
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250
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251 // Full matrix solvers (umfpack/cholesky)
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252 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
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253 Matrix &Info, solve_singularity_handler sing_handler,
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254 bool calc_cond = false) const;
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255
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256 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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257 double& rcond, solve_singularity_handler sing_handler,
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258 bool calc_cond = false) const;
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259
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260 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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261 octave_idx_type& info, double& rcond,
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262 solve_singularity_handler sing_handler,
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263 bool calc_cond = false) const;
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264
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265 SparseMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
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266 octave_idx_type& info, double& rcond,
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267 solve_singularity_handler sing_handler,
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268 bool calc_cond = false) const;
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269
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270 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
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271 octave_idx_type& info, double& rcond,
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272 solve_singularity_handler sing_handler,
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273 bool calc_cond = false) const;
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274
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275 public:
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276 // Generic interface to solver with no probing of type
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277 Matrix solve (MatrixType &typ, const Matrix& b) const;
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278 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
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279 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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280 double& rcond) const;
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281 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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282 double& rcond, solve_singularity_handler sing_handler,
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283 bool singular_fallback = true) const;
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284
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285 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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286 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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287 octave_idx_type& info) const;
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288 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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289 octave_idx_type& info, double& rcond) const;
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290 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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291 octave_idx_type& info, double& rcond,
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292 solve_singularity_handler sing_handler,
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293 bool singular_fallback = true) const;
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294
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295 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
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296 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
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297 octave_idx_type& info) const;
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298 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
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299 octave_idx_type& info, double& rcond) const;
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300 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
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301 octave_idx_type& info, double& rcond,
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302 solve_singularity_handler sing_handler,
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303 bool singular_fallback = true) const;
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304
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305 SparseComplexMatrix solve (MatrixType &typ,
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306 const SparseComplexMatrix& b) const;
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307 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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308 octave_idx_type& info) const;
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309 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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310 octave_idx_type& info, double& rcond) const;
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311 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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312 octave_idx_type& info, double& rcond,
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313 solve_singularity_handler sing_handler,
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314 bool singular_fallabck = true) const;
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315
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316 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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317 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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318 octave_idx_type& info) const;
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319 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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320 octave_idx_type& info, double& rcond) const;
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321 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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322 octave_idx_type& info, double& rcond,
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323 solve_singularity_handler sing_handler) const;
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324
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325 ComplexColumnVector solve (MatrixType &typ,
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326 const ComplexColumnVector& b) const;
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327 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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328 octave_idx_type& info) const;
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329 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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330 octave_idx_type& info, double& rcond) const;
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331 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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332 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 // Generic interface to solver with probing of type
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336 Matrix solve (const Matrix& b) const;
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337 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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338 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const;
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339 Matrix solve (const Matrix& 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 ComplexMatrix solve (const ComplexMatrix& b) const;
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343 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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344 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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345 double& rcond) const;
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346 ComplexMatrix solve (const ComplexMatrix& 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 SparseMatrix solve (const SparseMatrix& b) const;
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350 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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351 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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352 double& rcond) const;
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353 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, double& rcond,
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354 solve_singularity_handler sing_handler) const;
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355
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356 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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357 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const;
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358 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info,
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359 double& rcond) const;
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360 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info,
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361 double& rcond,
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362 solve_singularity_handler sing_handler) const;
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363
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364 ColumnVector solve (const ColumnVector& b) const;
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365 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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366 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const;
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367 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond,
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368 solve_singularity_handler sing_handler) const;
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369
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370 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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371 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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372 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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373 double& rcond) const;
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374 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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375 double& rcond,
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376 solve_singularity_handler sing_handler) const;
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377
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378 // other operations
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379
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380 bool any_element_is_negative (bool = false) const;
7922
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381 bool any_element_is_nan (void) const;
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382 bool any_element_is_inf_or_nan (void) const;
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383 bool all_elements_are_zero (void) const;
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384 bool all_elements_are_int_or_inf_or_nan (void) const;
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385 bool all_integers (double& max_val, double& min_val) const;
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386 bool too_large_for_float (void) const;
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387
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388 SparseBoolMatrix operator ! (void) const;
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389
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390 SparseBoolMatrix all (int dim = -1) const;
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391 SparseBoolMatrix any (int dim = -1) const;
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392
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393 SparseMatrix cumprod (int dim = -1) const;
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394 SparseMatrix cumsum (int dim = -1) const;
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395 SparseMatrix prod (int dim = -1) const;
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396 SparseMatrix sum (int dim = -1) const;
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397 SparseMatrix sumsq (int dim = -1) const;
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398 SparseMatrix abs (void) const;
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399
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400 SparseMatrix diag (octave_idx_type k = 0) const;
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401
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402 Matrix matrix_value (void) const;
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403
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404 SparseMatrix squeeze (void) const;
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405
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406 SparseMatrix index (idx_vector& i, int resize_ok) const;
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407
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408 SparseMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const;
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409
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410 SparseMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const;
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411
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412 SparseMatrix reshape (const dim_vector& new_dims) const;
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413
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414 SparseMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const;
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415
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416 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const;
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417
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418 // i/o
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419
6108
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420 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const SparseMatrix& a);
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421 friend OCTAVE_API std::istream& operator >> (std::istream& is, SparseMatrix& a);
7503
8c32f95c2639 convert mapper functions to new format
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422
8c32f95c2639 convert mapper functions to new format
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423 typedef double (*dmapper) (double);
8c32f95c2639 convert mapper functions to new format
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424 typedef Complex (*cmapper) (const Complex&);
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425 typedef bool (*bmapper) (double);
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426 SparseMatrix map (dmapper fcn) const;
8c32f95c2639 convert mapper functions to new format
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427 SparseComplexMatrix map (cmapper fcn) const;
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428 SparseBoolMatrix map (bmapper fcn) const;
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429 };
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430
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431 // Publish externally used friend functions.
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432
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433 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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434 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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435
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436 // Other operators.
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437
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438 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a,
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439 const SparseMatrix& b);
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440 extern OCTAVE_API Matrix operator * (const Matrix& a,
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441 const SparseMatrix& b);
7802
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442 extern OCTAVE_API Matrix mul_trans (const Matrix& a,
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443 const SparseMatrix& b);
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444 extern OCTAVE_API Matrix operator * (const SparseMatrix& a,
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445 const Matrix& b);
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446 extern OCTAVE_API Matrix trans_mul (const SparseMatrix& a,
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447 const Matrix& b);
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448
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449 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m);
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450 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d);
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451 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a, const SparseMatrix& b);
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452
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453 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m);
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454 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d);
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455 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a, const SparseMatrix& b);
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456
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457 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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458 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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459
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460 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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461 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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462
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463 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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464 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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465
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466 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double)
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467
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468 #ifdef IDX_TYPE_LONG
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469 #define UMFPACK_DNAME(name) umfpack_dl_ ## name
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470 #else
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471 #define UMFPACK_DNAME(name) umfpack_di_ ## name
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472 #endif
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473
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474 #endif
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475
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476 /*
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477 ;;; Local Variables: ***
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478 ;;; mode: C++ ***
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479 ;;; End: ***
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480 */