annotate liboctave/CSparse.h @ 6823:9fddcc586065

[project @ 2007-08-24 08:27:27 by dbateman]
author dbateman
date Fri, 24 Aug 2007 08:27:29 +0000
parents 0ce71beb1cf3
children 93c65f2a5668
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1 /*
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2
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3 Copyright (C) 2004 David Bateman
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4 Copyright (C) 1998-2004 Andy Adler
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5
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6 Octave is free software; you can redistribute it and/or modify it
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7 under the terms of the GNU General Public License as published by the
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8 Free Software Foundation; either version 2, or (at your option) any
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9 later version.
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10
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11 Octave is distributed in the hope that it will be useful, but WITHOUT
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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14 for more details.
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15
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16 You should have received a copy of the GNU General Public License
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17 along with this program; see the file COPYING. If not, write to the
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
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19 Boston, MA 02110-1301, USA.
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20
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21 */
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22
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23 #if !defined (octave_CSparse_h)
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24 #define octave_CSparse_h 1
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25
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26 #include "dMatrix.h"
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27 #include "dNDArray.h"
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28 #include "CNDArray.h"
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29 #include "dColVector.h"
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30 #include "CColVector.h"
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31 #include "oct-cmplx.h"
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32
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33 #include "CmplxDET.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 SparseMatrix;
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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 SparseComplexMatrix : public MSparse<Complex>
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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 SparseComplexMatrix (void) : MSparse<Complex> () { }
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51
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52 SparseComplexMatrix (octave_idx_type r, octave_idx_type c) : MSparse<Complex> (r, c) { }
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53
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54 SparseComplexMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
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55 MSparse<Complex> (dv, nz) { }
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56
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57 explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c, Complex val)
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58 : MSparse<Complex> (r, c, val) { }
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59
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60 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val)
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61 : MSparse<Complex> (r, c, Complex (val)) { }
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62
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63 SparseComplexMatrix (const SparseComplexMatrix& a)
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64 : MSparse<Complex> (a) { }
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65
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66 SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv)
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67 : MSparse<Complex> (a, dv) { }
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68
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69 SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { }
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70
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71 explicit SparseComplexMatrix (const ComplexMatrix& a)
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72 : MSparse<Complex> (a) { }
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73
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74 explicit SparseComplexMatrix (const ComplexNDArray& a)
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75 : MSparse<Complex> (a) { }
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76
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77 explicit SparseComplexMatrix (const Array<Complex> a, const Array<octave_idx_type>& r,
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78 const Array<octave_idx_type>& c, octave_idx_type nr = -1,
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79 octave_idx_type nc = -1, bool sum_terms = true)
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80 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { }
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81
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82 explicit SparseComplexMatrix (const Array<Complex> a,
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83 const Array<double>& r,
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84 const Array<double>& c, octave_idx_type nr = -1,
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85 octave_idx_type nc = -1, bool sum_terms = true)
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86 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { }
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87
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88 explicit SparseComplexMatrix (const SparseMatrix& a);
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89
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90 explicit SparseComplexMatrix (const SparseBoolMatrix& a);
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91
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92 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz)
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93 : MSparse<Complex> (r, c, num_nz) { }
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94
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95 SparseComplexMatrix& operator = (const SparseComplexMatrix& a)
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96 {
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97 MSparse<Complex>::operator = (a);
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98 return *this;
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99 }
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100
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101 bool operator == (const SparseComplexMatrix& a) const;
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102 bool operator != (const SparseComplexMatrix& a) const;
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103
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104 bool is_hermitian (void) const;
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105
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106 SparseComplexMatrix max (int dim = 0) const;
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107 SparseComplexMatrix max (Array2<octave_idx_type>& index, int dim = 0) const;
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108 SparseComplexMatrix min (int dim = 0) const;
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109 SparseComplexMatrix min (Array2<octave_idx_type>& index, int dim = 0) const;
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110
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111 SparseComplexMatrix& insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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112 SparseComplexMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c);
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113 SparseComplexMatrix& insert (const SparseComplexMatrix& a, const Array<octave_idx_type>& indx);
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114 SparseComplexMatrix& insert (const SparseMatrix& a, const Array<octave_idx_type>& indx);
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115
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116 SparseComplexMatrix concat (const SparseComplexMatrix& rb,
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117 const Array<octave_idx_type>& ra_idx);
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118 SparseComplexMatrix concat (const SparseMatrix& rb,
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119 const Array<octave_idx_type>& ra_idx);
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120
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121 ComplexMatrix matrix_value (void) const;
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122
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123 SparseComplexMatrix hermitian (void) const; // complex conjugate transpose
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124 SparseComplexMatrix transpose (void) const
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125 { return MSparse<Complex>::transpose (); }
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126
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127 friend SparseComplexMatrix conj (const SparseComplexMatrix& a);
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128
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129 private:
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130 SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
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131 double& rcond, const bool force = false,
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132 const bool calccond = true) const;
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133
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134 SparseComplexMatrix tinverse (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 public:
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139 SparseComplexMatrix inverse (void) const;
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140 SparseComplexMatrix inverse (MatrixType& mattype) const;
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141 SparseComplexMatrix inverse (MatrixType& mattype,
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142 octave_idx_type& info) const;
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143 SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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144 double& rcond, int force = 0,
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145 int calc_cond = 1) const;
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146
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147 ComplexDET determinant (void) const;
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148 ComplexDET determinant (octave_idx_type& info) const;
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149 ComplexDET determinant (octave_idx_type& info, double& rcond,
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150 int calc_cond = 1) const;
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151
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152 private:
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153 // Diagonal matrix solvers
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154 ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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155 double& rcond, solve_singularity_handler sing_handler,
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156 bool calc_cond = false) const;
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157
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158 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
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159 octave_idx_type& info, double& rcond,
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160 solve_singularity_handler sing_handler,
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161 bool calc_cond = false) const;
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162
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163 SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
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164 octave_idx_type& info, double& rcond,
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165 solve_singularity_handler sing_handler,
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166 bool calc_cond = false) const;
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167
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168 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
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169 octave_idx_type& info, double& rcond,
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170 solve_singularity_handler sing_handler,
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171 bool calc_cond = false) const;
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172
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173 // Upper triangular matrix solvers
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174 ComplexMatrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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175 double& rcond, solve_singularity_handler sing_handler,
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176 bool calc_cond = false) const;
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177
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178 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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179 octave_idx_type& info, double& rcond,
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180 solve_singularity_handler sing_handler,
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181 bool calc_cond = false) const;
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182
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183 SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
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184 octave_idx_type& info, double& rcond,
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185 solve_singularity_handler sing_handler,
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186 bool calc_cond = false) const;
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187
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188 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
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189 octave_idx_type& info, double& rcond,
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190 solve_singularity_handler sing_handler,
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191 bool calc_cond = false) const;
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192
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193 // Lower triangular matrix solvers
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194 ComplexMatrix ltsolve (MatrixType &typ, const Matrix& 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 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 SparseComplexMatrix 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 ComplexMatrix trisolve (MatrixType &typ, const Matrix& b,
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216 octave_idx_type& info, double& rcond,
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217 solve_singularity_handler sing_handler,
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218 bool calc_cond = false) const;
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219
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220 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
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221 octave_idx_type& info, double& rcond,
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222 solve_singularity_handler sing_handler,
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223 bool calc_cond = false) const;
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224
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225 SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
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226 octave_idx_type& info, double& rcond,
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227 solve_singularity_handler sing_handler,
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228 bool calc_cond = false) const;
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229
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230 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
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231 octave_idx_type& info, double& rcond,
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232 solve_singularity_handler sing_handler,
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233 bool calc_cond = false) const;
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234
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235 // Banded matrix solvers (umfpack/cholesky)
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236 ComplexMatrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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237 double& rcond, solve_singularity_handler sing_handler,
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238 bool calc_cond = false) const;
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239
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240 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
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241 octave_idx_type& info, double& rcond,
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242 solve_singularity_handler sing_handler,
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243 bool calc_cond = false) const;
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244
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245 SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
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246 octave_idx_type& info, double& rcond,
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247 solve_singularity_handler sing_handler,
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248 bool calc_cond = false) const;
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249
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250 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
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251 octave_idx_type& info, double& rcond,
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252 solve_singularity_handler sing_handler,
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253 bool calc_cond = false) const;
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254
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255 // Full matrix solvers (umfpack/cholesky)
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256 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
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257 Matrix &Info, solve_singularity_handler sing_handler,
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258 bool calc_cond) const;
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259
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260 ComplexMatrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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261 double& rcond, 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 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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265 octave_idx_type& info, double& rcond,
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266 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 SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
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270 octave_idx_type& info, double& rcond,
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271 solve_singularity_handler sing_handler,
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272 bool calc_cond = false) const;
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273
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274 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
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275 octave_idx_type& info, double& rcond,
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276 solve_singularity_handler sing_handler,
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277 bool calc_cond = false) const;
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278
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279 public:
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280 // Generic interface to solver with no probing of type
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281 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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282 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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283 octave_idx_type& info) const;
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284 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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285 double& rcond) const;
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286 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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287 double& rcond, solve_singularity_handler sing_handler,
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288 bool singular_fallback = true) const;
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289
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290 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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291 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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292 octave_idx_type& info) const;
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293 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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294 octave_idx_type& info, double& rcond) const;
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295 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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296 octave_idx_type& info, double& rcond,
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297 solve_singularity_handler sing_handler,
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298 bool singular_fallback = true) const;
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299
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300 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
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301 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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302 octave_idx_type& info) const;
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303 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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304 octave_idx_type& info, double& rcond) const;
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305 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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306 octave_idx_type& info, double& rcond,
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307 solve_singularity_handler sing_handler,
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308 bool singular_fallback = true) const;
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309
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310 SparseComplexMatrix solve (MatrixType &typ,
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311 const SparseComplexMatrix& b) const;
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312 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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313 octave_idx_type& info) const;
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314 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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315 octave_idx_type& info, double& rcond) const;
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316 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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317 octave_idx_type& info, double& rcond,
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318 solve_singularity_handler sing_handler,
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319 bool singular_fallback = true) const;
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320
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321 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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322 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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323 octave_idx_type& info) const;
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324 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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325 octave_idx_type& info, double& rcond) const;
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326 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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327 octave_idx_type& info, double& rcond,
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328 solve_singularity_handler sing_handler) const;
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329
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330 ComplexColumnVector solve (MatrixType &typ,
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331 const ComplexColumnVector& b) const;
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332 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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333 octave_idx_type& info) const;
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334 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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335 octave_idx_type& info, double& rcond) const;
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336 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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337 octave_idx_type& info, double& rcond,
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338 solve_singularity_handler sing_handler) const;
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339
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340 // Generic interface to solver with probing of type
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341 ComplexMatrix solve (const Matrix& b) const;
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342 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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343 ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
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344 double& rcond) const;
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345 ComplexMatrix solve (const Matrix& b, 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 ComplexMatrix solve (const ComplexMatrix& b) const;
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349 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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350 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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351 double& rcond) const;
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352 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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353 double& rcond, solve_singularity_handler sing_handler) const;
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354
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355 SparseComplexMatrix solve (const SparseMatrix& b) const;
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356 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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357 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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358 double& rcond) const;
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359 SparseComplexMatrix solve (const SparseMatrix& 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 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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364 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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365 octave_idx_type& info) const;
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366 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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367 octave_idx_type& info, double& rcond) const;
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368 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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369 octave_idx_type& info, double& rcond,
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370 solve_singularity_handler sing_handler) const;
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371
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372 ComplexColumnVector solve (const ColumnVector& b) const;
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373 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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374 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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375 double& rcond) const;
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376 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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377 double& rcond,
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378 solve_singularity_handler sing_handler) const;
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379
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380 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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381 ComplexColumnVector solve (const ComplexColumnVector& b,
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382 octave_idx_type& info) const;
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383 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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384 double& rcond) const;
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385 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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386 double& rcond,
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387 solve_singularity_handler sing_handler) const;
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388
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389 SparseComplexMatrix squeeze (void) const;
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390
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391 SparseComplexMatrix index (idx_vector& i, int resize_ok) const;
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392
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393 SparseComplexMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const;
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394
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395 SparseComplexMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const;
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396
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397 SparseComplexMatrix reshape (const dim_vector& new_dims) const;
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398
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399 SparseComplexMatrix permute (const Array<octave_idx_type>& vec,
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400 bool inv = false) const;
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401
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402 SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const;
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403
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404 SparseComplexMatrix map (c_c_Mapper f) const;
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405 SparseMatrix map (d_c_Mapper f) const;
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406 SparseBoolMatrix map (b_c_Mapper f) const;
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407
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408 SparseComplexMatrix& apply (c_c_Mapper f);
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409
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410 bool any_element_is_inf_or_nan (void) const;
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411 bool all_elements_are_real (void) const;
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412 bool all_integers (double& max_val, double& min_val) const;
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413 bool too_large_for_float (void) const;
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414
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415 SparseBoolMatrix operator ! (void) const;
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416
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417 SparseBoolMatrix all (int dim = -1) const;
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418 SparseBoolMatrix any (int dim = -1) const;
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419
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420 SparseComplexMatrix cumprod (int dim = -1) const;
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421 SparseComplexMatrix cumsum (int dim = -1) const;
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422 SparseComplexMatrix prod (int dim = -1) const;
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423 SparseComplexMatrix sum (int dim = -1) const;
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424 SparseComplexMatrix sumsq (int dim = -1) const;
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425 SparseMatrix abs (void) const;
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426
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427 SparseComplexMatrix diag (octave_idx_type k = 0) const;
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428
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429 // i/o
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430 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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431 const SparseComplexMatrix& a);
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432 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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433 SparseComplexMatrix& a);
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434 };
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435
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436 extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
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437 const SparseComplexMatrix&);
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438 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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439 const SparseMatrix&);
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440 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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441 const SparseComplexMatrix&);
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442
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443 extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
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444 const SparseComplexMatrix&);
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445 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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446 const SparseMatrix&);
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447 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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448 const SparseComplexMatrix&);
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449
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450 extern OCTAVE_API ComplexMatrix operator * (const SparseMatrix&,
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451 const ComplexMatrix&);
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452 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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453 const Matrix&);
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454 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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455 const ComplexMatrix&);
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456
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457 extern OCTAVE_API SparseComplexMatrix min (const Complex& c,
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458 const SparseComplexMatrix& m);
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459 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& m,
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460 const Complex& c);
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461 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& a,
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462 const SparseComplexMatrix& b);
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463
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464 extern OCTAVE_API SparseComplexMatrix max (const Complex& c,
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465 const SparseComplexMatrix& m);
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466 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& m,
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467 const Complex& c);
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468 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& a,
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469 const SparseComplexMatrix& b);
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470
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471 SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
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472 SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
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473
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474 SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
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475 SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
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476
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477 SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
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478 SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
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479
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480 SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex)
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481
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482 #ifdef IDX_TYPE_LONG
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483 #define UMFPACK_ZNAME(name) umfpack_zl_ ## name
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484 #else
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485 #define UMFPACK_ZNAME(name) umfpack_zi_ ## name
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486 #endif
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487
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488 #endif
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489
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490 /*
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491 ;;; Local Variables: ***
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492 ;;; mode: C++ ***
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493 ;;; End: ***
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494 */