annotate liboctave/array/dSparse.h @ 27919:1891570abac8

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2020.
author John W. Eaton <jwe@octave.org>
date Mon, 06 Jan 2020 22:29:51 -0500
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1 /*
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2
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1891570abac8 update Octave Project Developers copyright for the new year
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3 Copyright (C) 1998-2020 The Octave Project Developers
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4
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5 See the file COPYRIGHT.md in the top-level directory of this distribution
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6 or <https://octave.org/COPYRIGHT.html/>.
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7
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8
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9 This file is part of Octave.
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10
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11 Octave is free software: you can redistribute it and/or modify it
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12 under the terms of the GNU General Public License as published by
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13 the Free Software Foundation, either version 3 of the License, or
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14 (at your option) any later version.
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15
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16 Octave is distributed in the hope that it will be useful, but
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17 WITHOUT ANY WARRANTY; without even the implied warranty of
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18 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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19 GNU General Public License for more details.
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21 You should have received a copy of the GNU General Public License
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22 along with Octave; see the file COPYING. If not, see
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23 <https://www.gnu.org/licenses/>.
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25 */
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26
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27 #if ! defined (octave_dSparse_h)
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28 #define octave_dSparse_h 1
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29
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30 #include "octave-config.h"
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31
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32 #include "CColVector.h"
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33 #include "CMatrix.h"
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34 #include "DET.h"
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35 #include "MSparse.h"
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36 #include "MatrixType.h"
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37 #include "Sparse-op-decls.h"
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38 #include "dColVector.h"
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39 #include "dMatrix.h"
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40 #include "dNDArray.h"
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41
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42 class PermMatrix;
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43 class DiagMatrix;
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44 class SparseComplexMatrix;
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45 class SparseBoolMatrix;
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46
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47 class
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48 OCTAVE_API
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49 SparseMatrix : public MSparse<double>
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50 {
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51 public:
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52
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53 // Corresponding dense matrix type for this sparse matrix type.
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54 typedef Matrix dense_matrix_type;
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55
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56 typedef void (*solve_singularity_handler) (double rcond);
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57
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58 SparseMatrix (void) : MSparse<double> () { }
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59
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60 SparseMatrix (octave_idx_type r, octave_idx_type c)
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61 : MSparse<double> (r, c) { }
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62
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63 SparseMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
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64 MSparse<double> (dv, nz) { }
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65
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66 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val)
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67 : MSparse<double> (r, c, val) { }
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68
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69 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { }
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71 SparseMatrix (const SparseMatrix& a, const dim_vector& dv)
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72 : MSparse<double> (a, dv) { }
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74 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { }
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76 SparseMatrix (const Sparse<double>& a) : MSparse<double> (a) { }
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77
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78 explicit SparseMatrix (const SparseBoolMatrix& a);
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79
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80 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { }
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81
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82 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { }
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83
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84 SparseMatrix (const Array<double>& a, const idx_vector& r,
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85 const idx_vector& c, octave_idx_type nr = -1,
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86 octave_idx_type nc = -1, bool sum_terms = true,
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87 octave_idx_type nzm = -1)
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88 : MSparse<double> (a, r, c, nr, nc, sum_terms, nzm) { }
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89
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90 explicit SparseMatrix (const DiagMatrix& a);
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91
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92 explicit SparseMatrix (const PermMatrix& a) : MSparse<double>(a) { }
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93
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94 SparseMatrix (octave_idx_type r, octave_idx_type c,
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95 octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { }
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96
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97 SparseMatrix& operator = (const SparseMatrix& a)
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98 {
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99 MSparse<double>::operator = (a);
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100 return *this;
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101 }
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102
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103 bool operator == (const SparseMatrix& a) const;
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104 bool operator != (const SparseMatrix& a) const;
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105
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106 bool issymmetric (void) const;
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107
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108 SparseMatrix max (int dim = -1) const;
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109 SparseMatrix max (Array<octave_idx_type>& index, int dim = -1) const;
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110 SparseMatrix min (int dim = -1) const;
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111 SparseMatrix min (Array<octave_idx_type>& index, int dim = -1) const;
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112
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113 // destructive insert/delete/reorder operations
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114
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115 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r,
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116 octave_idx_type c);
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117
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118 SparseMatrix& insert (const SparseMatrix& a,
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119 const Array<octave_idx_type>& indx);
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120
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121 SparseMatrix concat (const SparseMatrix& rb,
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122 const Array<octave_idx_type>& ra_idx);
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123 SparseComplexMatrix concat (const SparseComplexMatrix& rb,
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124 const Array<octave_idx_type>& ra_idx);
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125
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126 friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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127 friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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128
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129 SparseMatrix transpose (void) const
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130 {
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131 return MSparse<double>::transpose ();
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132 }
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133 SparseMatrix hermitian (void) const { return transpose (); }
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134
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135 // extract row or column i.
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136
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137 RowVector row (octave_idx_type i) const;
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138
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139 ColumnVector column (octave_idx_type i) const;
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140
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141 private:
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142 SparseMatrix dinverse (MatrixType& mattype, octave_idx_type& info,
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143 double& rcond, const bool force = false,
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144 const bool calccond = true) const;
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145
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146 SparseMatrix tinverse (MatrixType& mattype, octave_idx_type& info,
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147 double& rcond, const bool force = false,
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148 const bool calccond = true) const;
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149
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150 public:
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151 SparseMatrix inverse (void) const;
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152 SparseMatrix inverse (MatrixType& mattype) const;
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153 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const;
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154 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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155 double& rcond, bool force = false,
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156 bool calc_cond = true) const;
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157
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158 DET determinant (void) const;
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159 DET determinant (octave_idx_type& info) const;
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160 DET determinant (octave_idx_type& info, double& rcond,
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161 bool calc_cond = true) const;
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162
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163 private:
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164 // Diagonal matrix solvers
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165 Matrix dsolve (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 dsolve (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 dsolve (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 dsolve (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 // Upper triangular matrix solvers
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185 Matrix utsolve (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 utsolve (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 utsolve (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 utsolve (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 // Lower triangular matrix solvers
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205 Matrix ltsolve (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 ltsolve (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 ltsolve (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 ltsolve (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 // Tridiagonal matrix solvers
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225 Matrix trisolve (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 trisolve (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 trisolve (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 trisolve (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 // Banded matrix solvers (umfpack/cholesky)
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245 Matrix bsolve (MatrixType& typ, const Matrix& b, octave_idx_type& info,
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246 double& rcond, 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 ComplexMatrix bsolve (MatrixType& typ, const ComplexMatrix& b,
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250 octave_idx_type& info, double& rcond,
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251 solve_singularity_handler sing_handler,
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252 bool calc_cond = false) const;
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253
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254 SparseMatrix bsolve (MatrixType& typ, const SparseMatrix& b,
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255 octave_idx_type& info, double& rcond,
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256 solve_singularity_handler sing_handler,
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257 bool calc_cond = false) const;
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258
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259 SparseComplexMatrix bsolve (MatrixType& typ, const SparseComplexMatrix& b,
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260 octave_idx_type& info, double& rcond,
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261 solve_singularity_handler sing_handler,
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262 bool calc_cond = false) const;
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263
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264 // Full matrix solvers (umfpack/cholesky)
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265 void * factorize (octave_idx_type& err, double& rcond, Matrix& Control,
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266 Matrix& Info, solve_singularity_handler sing_handler,
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267 bool calc_cond = false) const;
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268
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269 Matrix fsolve (MatrixType& typ, const Matrix& b, octave_idx_type& info,
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270 double& rcond, solve_singularity_handler sing_handler,
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271 bool calc_cond = false) const;
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272
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273 ComplexMatrix fsolve (MatrixType& typ, const ComplexMatrix& b,
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274 octave_idx_type& info, double& rcond,
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275 solve_singularity_handler sing_handler,
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276 bool calc_cond = false) const;
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277
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278 SparseMatrix fsolve (MatrixType& typ, const SparseMatrix& b,
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279 octave_idx_type& info, double& rcond,
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280 solve_singularity_handler sing_handler,
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281 bool calc_cond = false) const;
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282
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283 SparseComplexMatrix fsolve (MatrixType& typ, const SparseComplexMatrix& 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 calc_cond = false) const;
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287
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288 public:
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289 // Generic interface to solver with no probing of type
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290 Matrix solve (MatrixType& typ, const Matrix& b) const;
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291 Matrix solve (MatrixType& typ, const Matrix& b, octave_idx_type& info) const;
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292 Matrix solve (MatrixType& typ, const Matrix& b, octave_idx_type& info,
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293 double& rcond) const;
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294 Matrix solve (MatrixType& typ, const Matrix& b, octave_idx_type& info,
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295 double& rcond, 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 ComplexMatrix solve (MatrixType& typ, const ComplexMatrix& b) const;
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299 ComplexMatrix solve (MatrixType& typ, const ComplexMatrix& b,
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300 octave_idx_type& info) const;
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301 ComplexMatrix solve (MatrixType& typ, const ComplexMatrix& b,
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302 octave_idx_type& info, double& rcond) const;
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303 ComplexMatrix solve (MatrixType& typ, const ComplexMatrix& b,
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304 octave_idx_type& info, double& rcond,
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305 solve_singularity_handler sing_handler,
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306 bool singular_fallback = true) const;
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307
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308 SparseMatrix solve (MatrixType& typ, const SparseMatrix& b) const;
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309 SparseMatrix solve (MatrixType& typ, const SparseMatrix& b,
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310 octave_idx_type& info) const;
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311 SparseMatrix solve (MatrixType& typ, const SparseMatrix& b,
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312 octave_idx_type& info, double& rcond) const;
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313 SparseMatrix solve (MatrixType& typ, const SparseMatrix& b,
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314 octave_idx_type& info, double& rcond,
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315 solve_singularity_handler sing_handler,
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316 bool singular_fallback = true) const;
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317
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318 SparseComplexMatrix solve (MatrixType& typ,
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319 const SparseComplexMatrix& b) const;
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320 SparseComplexMatrix solve (MatrixType& typ, const SparseComplexMatrix& b,
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321 octave_idx_type& info) const;
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322 SparseComplexMatrix solve (MatrixType& typ, const SparseComplexMatrix& b,
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323 octave_idx_type& info, double& rcond) const;
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324 SparseComplexMatrix solve (MatrixType& typ, const SparseComplexMatrix& b,
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325 octave_idx_type& info, double& rcond,
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326 solve_singularity_handler sing_handler,
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327 bool singular_fallabck = true) const;
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328
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329 ColumnVector solve (MatrixType& typ, const ColumnVector& b) const;
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330 ColumnVector solve (MatrixType& typ, const ColumnVector& b,
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331 octave_idx_type& info) const;
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332 ColumnVector solve (MatrixType& typ, const ColumnVector& b,
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333 octave_idx_type& info, double& rcond) const;
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334 ColumnVector solve (MatrixType& typ, const ColumnVector& b,
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335 octave_idx_type& info, double& rcond,
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336 solve_singularity_handler sing_handler) const;
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337
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338 ComplexColumnVector solve (MatrixType& typ,
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339 const ComplexColumnVector& b) const;
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340 ComplexColumnVector solve (MatrixType& typ, const ComplexColumnVector& b,
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341 octave_idx_type& info) const;
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342 ComplexColumnVector solve (MatrixType& typ, const ComplexColumnVector& b,
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343 octave_idx_type& info, double& rcond) const;
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344 ComplexColumnVector solve (MatrixType& typ, const ComplexColumnVector& b,
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345 octave_idx_type& info, double& rcond,
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346 solve_singularity_handler sing_handler) const;
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347
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348 // Generic interface to solver with probing of type
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349 Matrix solve (const Matrix& b) const;
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350 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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351 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const;
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352 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
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353 solve_singularity_handler sing_handler) const;
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354
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355 ComplexMatrix solve (const ComplexMatrix& b) const;
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356 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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357 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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358 double& rcond) const;
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359 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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360 double& rcond,
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361 solve_singularity_handler sing_handler) const;
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362
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363 SparseMatrix solve (const SparseMatrix& b) const;
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364 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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365 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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366 double& rcond) const;
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367 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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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 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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372 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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373 octave_idx_type& info) const;
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374 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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375 octave_idx_type& info, double& rcond) const;
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376 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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377 octave_idx_type& info, double& rcond,
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378 solve_singularity_handler sing_handler) const;
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379
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380 ColumnVector solve (const ColumnVector& b) const;
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381 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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382 ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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383 double& rcond) const;
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384 ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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385 double& rcond,
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386 solve_singularity_handler sing_handler) const;
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387
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388 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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389 ComplexColumnVector solve (const ComplexColumnVector& b,
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390 octave_idx_type& info) const;
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391 ComplexColumnVector solve (const ComplexColumnVector& b,
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392 octave_idx_type& info, double& rcond) const;
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393 ComplexColumnVector solve (const ComplexColumnVector& b,
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394 octave_idx_type& info, double& rcond,
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395 solve_singularity_handler sing_handler) const;
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396
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397 // other operations
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398
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399 bool any_element_is_negative (bool = false) const;
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400 bool any_element_is_nan (void) const;
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401 bool any_element_is_inf_or_nan (void) const;
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402 bool any_element_not_one_or_zero (void) const;
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403 bool all_elements_are_zero (void) const;
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404 bool all_elements_are_int_or_inf_or_nan (void) const;
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405 bool all_integers (double& max_val, double& min_val) const;
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406 bool too_large_for_float (void) const;
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407
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408 SparseBoolMatrix operator ! (void) const;
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409
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410 SparseBoolMatrix all (int dim = -1) const;
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411 SparseBoolMatrix any (int dim = -1) const;
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412
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413 SparseMatrix cumprod (int dim = -1) const;
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414 SparseMatrix cumsum (int dim = -1) const;
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415 SparseMatrix prod (int dim = -1) const;
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416 SparseMatrix sum (int dim = -1) const;
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417 SparseMatrix sumsq (int dim = -1) const;
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418 SparseMatrix abs (void) const;
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419
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420 SparseMatrix diag (octave_idx_type k = 0) const;
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421
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422 Matrix matrix_value (void) const;
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423
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424 SparseMatrix squeeze (void) const;
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425
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426 SparseMatrix reshape (const dim_vector& new_dims) const;
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427
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428 SparseMatrix permute (const Array<octave_idx_type>& vec,
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429 bool inv = false) const;
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430
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431 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const;
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432
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433 // i/o
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434
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435 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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436 const SparseMatrix& a);
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437 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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438 SparseMatrix& a);
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439
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440 };
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441
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442 // Publish externally used friend functions.
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443
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444 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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445 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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446
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447 // Other operators.
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448
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449 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a,
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450 const SparseMatrix& b);
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451 extern OCTAVE_API Matrix operator * (const Matrix& a,
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452 const SparseMatrix& b);
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453 extern OCTAVE_API Matrix mul_trans (const Matrix& a,
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454 const SparseMatrix& b);
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455 extern OCTAVE_API Matrix operator * (const SparseMatrix& a,
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456 const Matrix& b);
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457 extern OCTAVE_API Matrix trans_mul (const SparseMatrix& a,
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458 const Matrix& b);
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459
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460 extern OCTAVE_API SparseMatrix operator * (const DiagMatrix&,
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461 const SparseMatrix&);
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462 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix&,
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463 const DiagMatrix&);
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464
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465 extern OCTAVE_API SparseMatrix operator + (const DiagMatrix&,
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466 const SparseMatrix&);
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467 extern OCTAVE_API SparseMatrix operator + (const SparseMatrix&,
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468 const DiagMatrix&);
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469 extern OCTAVE_API SparseMatrix operator - (const DiagMatrix&,
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470 const SparseMatrix&);
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471 extern OCTAVE_API SparseMatrix operator - (const SparseMatrix&,
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472 const DiagMatrix&);
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473
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474 extern OCTAVE_API SparseMatrix operator * (const PermMatrix&,
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475 const SparseMatrix&);
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476 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix&,
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477 const PermMatrix&);
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478
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479 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m);
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480 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d);
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481 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a,
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482 const SparseMatrix& b);
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483
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484 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m);
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485 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d);
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486 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a,
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487 const SparseMatrix& b);
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488
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489 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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490 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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491
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492 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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493 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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494
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495 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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496 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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497
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498 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double)
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499
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500 #endif