annotate liboctave/dSparse.h @ 8366:8b1a2555c4e2

implement diagonal matrix objects * * *
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 03 Dec 2008 13:32:57 +0100
parents 64cf956a109c
children 6e9f26506804
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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 #include "dDiagMatrix.h"
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33
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34 #include "DET.h"
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35 #include "MSparse.h"
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36 #include "MSparse-defs.h"
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37 #include "Sparse-op-defs.h"
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38 #include "MatrixType.h"
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39
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40 class SparseComplexMatrix;
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41 class SparseBoolMatrix;
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42
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43 class
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44 OCTAVE_API
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45 SparseMatrix : public MSparse<double>
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46 {
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47 public:
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48
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49 typedef void (*solve_singularity_handler) (double rcond);
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50
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51 SparseMatrix (void) : MSparse<double> () { }
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52
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53 SparseMatrix (octave_idx_type r, octave_idx_type c) : MSparse<double> (r, c) { }
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54
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55 SparseMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
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56 MSparse<double> (dv, nz) { }
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57
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58 explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val)
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59 : MSparse<double> (r, c, val) { }
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60
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61 SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { }
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62
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63 SparseMatrix (const SparseMatrix& a, const dim_vector& dv)
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64 : MSparse<double> (a, dv) { }
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65
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66 SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { }
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67
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68 explicit SparseMatrix (const SparseBoolMatrix& a);
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69
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70 explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { }
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71
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72 explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { }
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73
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74 explicit SparseMatrix (const Array<double> a, const Array<octave_idx_type>& r,
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75 const Array<octave_idx_type>& c, octave_idx_type nr = -1,
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76 octave_idx_type nc = -1, bool sum_terms = true)
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77 : MSparse<double> (a, r, c, nr, nc, sum_terms) { }
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78
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79 explicit SparseMatrix (const Array<double> a, const Array<double>& r,
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80 const Array<double>& c, octave_idx_type nr = -1,
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81 octave_idx_type nc = -1, bool sum_terms = true)
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82 : MSparse<double> (a, r, c, nr, nc, sum_terms) { }
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83
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84 explicit SparseMatrix (const DiagMatrix& a);
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85
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86 SparseMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { }
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87
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88 SparseMatrix& operator = (const SparseMatrix& a)
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89 {
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90 MSparse<double>::operator = (a);
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91 return *this;
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92 }
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93
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94 bool operator == (const SparseMatrix& a) const;
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95 bool operator != (const SparseMatrix& a) const;
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96
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97 bool is_symmetric (void) const;
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98
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99 SparseMatrix max (int dim = 0) const;
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100 SparseMatrix max (Array2<octave_idx_type>& index, int dim = 0) const;
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101 SparseMatrix min (int dim = 0) const;
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102 SparseMatrix min (Array2<octave_idx_type>& index, int dim = 0) const;
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103
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104 // destructive insert/delete/reorder operations
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105
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106 SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c);
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107
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108 SparseMatrix& insert (const SparseMatrix& a, const Array<octave_idx_type>& indx);
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109
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110 SparseMatrix concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx);
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111 SparseComplexMatrix concat (const SparseComplexMatrix& rb,
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112 const Array<octave_idx_type>& ra_idx);
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113
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114 friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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115 friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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116
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117 friend OCTAVE_API SparseMatrix atan2 (const double& x, const SparseMatrix& y);
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118 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const double& y);
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119 friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const SparseMatrix& y);
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120
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121 SparseMatrix transpose (void) const
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122 {
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123 return MSparse<double>::transpose ();
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124 }
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125 SparseMatrix hermitian (void) const { return transpose (); }
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126
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127 // extract row or column i.
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128
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129 RowVector row (octave_idx_type i) const;
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130
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131 ColumnVector column (octave_idx_type i) const;
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132
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133 private:
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134 SparseMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
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135 double& rcond, const bool force = false,
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136 const bool calccond = true) const;
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137
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138 SparseMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
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139 double& rcond, const bool force = false,
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140 const bool calccond = true) const;
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141
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142 public:
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143 SparseMatrix inverse (void) const;
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144 SparseMatrix inverse (MatrixType& mattype) const;
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145 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const;
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146 SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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147 double& rcond, int force = 0, int calc_cond = 1) const;
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148
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149 DET determinant (void) const;
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150 DET determinant (octave_idx_type& info) const;
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151 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const;
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152
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153 private:
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154 // Diagonal matrix solvers
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155 Matrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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156 double& rcond, 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 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
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165 octave_idx_type& info, double& rcond,
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166 solve_singularity_handler sing_handler,
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167 bool calc_cond = false) const;
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168
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169 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& 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 // Upper triangular matrix solvers
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175 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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176 double& rcond, 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 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
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185 octave_idx_type& info, double& rcond,
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186 solve_singularity_handler sing_handler,
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187 bool calc_cond = false) const;
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188
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189 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& 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 // Lower triangular matrix solvers
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195 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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196 double& rcond, 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 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
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205 octave_idx_type& info, double& rcond,
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206 solve_singularity_handler sing_handler,
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207 bool calc_cond = false) const;
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208
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209 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& 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 // Tridiagonal matrix solvers
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215 Matrix trisolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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216 double& rcond, 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 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
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225 octave_idx_type& info, double& rcond,
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226 solve_singularity_handler sing_handler,
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227 bool calc_cond = false) const;
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228
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229 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& 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 // Banded matrix solvers (umfpack/cholesky)
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235 Matrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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236 double& rcond, 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 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
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245 octave_idx_type& info, double& rcond,
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246 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 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& 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 // Full matrix solvers (umfpack/cholesky)
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255 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
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256 Matrix &Info, 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 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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260 double& rcond, 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 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
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269 octave_idx_type& info, double& rcond,
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270 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 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& 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 public:
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279 // Generic interface to solver with no probing of type
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280 Matrix solve (MatrixType &typ, const Matrix& b) const;
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281 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
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282 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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283 double& rcond) const;
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284 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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285 double& rcond, 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 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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289 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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290 octave_idx_type& info) const;
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291 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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292 octave_idx_type& info, double& rcond) const;
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293 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& 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 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
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299 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
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300 octave_idx_type& info) const;
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301 SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
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302 octave_idx_type& info, double& rcond) const;
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303 SparseMatrix solve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix solve (MatrixType &typ,
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309 const SparseComplexMatrix& b) const;
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310 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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311 octave_idx_type& info) const;
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312 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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313 octave_idx_type& info, double& rcond) const;
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314 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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315 octave_idx_type& info, double& rcond,
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316 solve_singularity_handler sing_handler,
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317 bool singular_fallabck = true) const;
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318
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319 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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320 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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321 octave_idx_type& info) const;
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322 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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323 octave_idx_type& info, double& rcond) const;
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324 ColumnVector solve (MatrixType &typ, const ColumnVector& 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 ComplexColumnVector solve (MatrixType &typ,
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329 const ComplexColumnVector& b) const;
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330 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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331 octave_idx_type& info) const;
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332 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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333 octave_idx_type& info, double& rcond) const;
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334 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& 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 // Generic interface to solver with probing of type
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339 Matrix solve (const Matrix& b) const;
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340 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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341 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const;
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342 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
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343 solve_singularity_handler sing_handler) const;
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344
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345 ComplexMatrix solve (const ComplexMatrix& b) const;
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346 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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347 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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348 double& rcond) const;
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349 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond,
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350 solve_singularity_handler sing_handler) const;
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351
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352 SparseMatrix solve (const SparseMatrix& b) const;
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353 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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354 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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355 double& rcond) const;
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356 SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info, double& rcond,
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357 solve_singularity_handler sing_handler) const;
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358
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359 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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360 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const;
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361 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info,
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362 double& rcond) const;
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363 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info,
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364 double& rcond,
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365 solve_singularity_handler sing_handler) const;
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366
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367 ColumnVector solve (const ColumnVector& b) const;
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368 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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369 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const;
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370 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond,
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371 solve_singularity_handler sing_handler) const;
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372
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373 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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374 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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375 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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376 double& rcond) const;
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377 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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378 double& rcond,
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379 solve_singularity_handler sing_handler) const;
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380
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381 // other operations
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382
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383 bool any_element_is_negative (bool = false) const;
7922
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384 bool any_element_is_nan (void) const;
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385 bool any_element_is_inf_or_nan (void) const;
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386 bool all_elements_are_zero (void) const;
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387 bool all_elements_are_int_or_inf_or_nan (void) const;
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388 bool all_integers (double& max_val, double& min_val) const;
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389 bool too_large_for_float (void) const;
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390
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391 SparseBoolMatrix operator ! (void) const;
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392
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393 SparseBoolMatrix all (int dim = -1) const;
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394 SparseBoolMatrix any (int dim = -1) const;
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395
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396 SparseMatrix cumprod (int dim = -1) const;
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397 SparseMatrix cumsum (int dim = -1) const;
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398 SparseMatrix prod (int dim = -1) const;
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399 SparseMatrix sum (int dim = -1) const;
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400 SparseMatrix sumsq (int dim = -1) const;
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401 SparseMatrix abs (void) const;
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402
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403 SparseMatrix diag (octave_idx_type k = 0) const;
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404
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405 Matrix matrix_value (void) const;
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406
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407 SparseMatrix squeeze (void) const;
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408
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409 SparseMatrix index (idx_vector& i, int resize_ok) const;
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410
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411 SparseMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const;
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412
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413 SparseMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const;
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414
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415 SparseMatrix reshape (const dim_vector& new_dims) const;
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416
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417 SparseMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const;
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418
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419 SparseMatrix ipermute (const Array<octave_idx_type>& vec) const;
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420
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421 // i/o
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422
6108
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423 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const SparseMatrix& a);
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424 friend OCTAVE_API std::istream& operator >> (std::istream& is, SparseMatrix& a);
7503
8c32f95c2639 convert mapper functions to new format
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425
8c32f95c2639 convert mapper functions to new format
David Bateman <dbateman@free.fr>
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426 typedef double (*dmapper) (double);
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427 typedef Complex (*cmapper) (const Complex&);
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428 typedef bool (*bmapper) (double);
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429 SparseMatrix map (dmapper fcn) const;
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430 SparseComplexMatrix map (cmapper fcn) const;
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431 SparseBoolMatrix map (bmapper fcn) const;
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432 };
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433
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434 // Publish externally used friend functions.
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435
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436 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
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437 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
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438
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439 // Other operators.
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440
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441 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a,
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442 const SparseMatrix& b);
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443 extern OCTAVE_API Matrix operator * (const Matrix& a,
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444 const SparseMatrix& b);
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445 extern OCTAVE_API Matrix mul_trans (const Matrix& a,
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446 const SparseMatrix& b);
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447 extern OCTAVE_API Matrix operator * (const SparseMatrix& a,
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448 const Matrix& b);
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449 extern OCTAVE_API Matrix trans_mul (const SparseMatrix& a,
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450 const Matrix& b);
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451
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452 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m);
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453 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d);
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454 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a, const SparseMatrix& b);
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455
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456 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m);
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457 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d);
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458 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a, const SparseMatrix& b);
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459
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460 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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461 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double, OCTAVE_API)
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462
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463 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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464 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix, OCTAVE_API)
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465
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466 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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467 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
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468
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469 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double)
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470
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471 #ifdef IDX_TYPE_LONG
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472 #define UMFPACK_DNAME(name) umfpack_dl_ ## name
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473 #else
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474 #define UMFPACK_DNAME(name) umfpack_di_ ## name
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475 #endif
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476
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477 #endif
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478
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479 /*
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480 ;;; Local Variables: ***
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481 ;;; mode: C++ ***
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482 ;;; End: ***
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483 */