annotate liboctave/CSparse.h @ 6469:a848b846cb3a ss-2-9-10

[project @ 2007-03-27 18:42:11 by jwe]
author jwe
date Tue, 27 Mar 2007 18:42:11 +0000
parents 143b556ce725
children 0ce71beb1cf3
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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 explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c, Complex val)
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55 : MSparse<Complex> (r, c, val) { }
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56
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57 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val)
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58 : MSparse<Complex> (r, c, Complex (val)) { }
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59
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60 SparseComplexMatrix (const SparseComplexMatrix& a)
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61 : MSparse<Complex> (a) { }
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62
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63 SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv)
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64 : MSparse<Complex> (a, dv) { }
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65
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66 SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { }
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67
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68 explicit SparseComplexMatrix (const ComplexMatrix& a)
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69 : MSparse<Complex> (a) { }
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70
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71 explicit SparseComplexMatrix (const ComplexNDArray& a)
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72 : MSparse<Complex> (a) { }
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73
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74 explicit SparseComplexMatrix (const Array<Complex> 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<Complex> (a, r, c, nr, nc, sum_terms) { }
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78
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79 explicit SparseComplexMatrix (const Array<Complex> a,
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80 const Array<double>& r,
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81 const Array<double>& c, octave_idx_type nr = -1,
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82 octave_idx_type nc = -1, bool sum_terms = true)
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83 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { }
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84
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85 explicit SparseComplexMatrix (const SparseMatrix& a);
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86
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87 explicit SparseComplexMatrix (const SparseBoolMatrix& a);
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88
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89 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz)
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90 : MSparse<Complex> (r, c, num_nz) { }
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91
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92 SparseComplexMatrix& operator = (const SparseComplexMatrix& a)
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93 {
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94 MSparse<Complex>::operator = (a);
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95 return *this;
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96 }
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97
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98 bool operator == (const SparseComplexMatrix& a) const;
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99 bool operator != (const SparseComplexMatrix& a) const;
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100
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101 bool is_hermitian (void) const;
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102
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103 SparseComplexMatrix max (int dim = 0) const;
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104 SparseComplexMatrix max (Array2<octave_idx_type>& index, int dim = 0) const;
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105 SparseComplexMatrix min (int dim = 0) const;
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106 SparseComplexMatrix min (Array2<octave_idx_type>& index, int dim = 0) const;
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107
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108 SparseComplexMatrix& insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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109 SparseComplexMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c);
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110
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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 SparseComplexMatrix concat (const SparseMatrix& rb,
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114 const Array<octave_idx_type>& ra_idx);
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115
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116 ComplexMatrix matrix_value (void) const;
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117
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118 SparseComplexMatrix hermitian (void) const; // complex conjugate transpose
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119 SparseComplexMatrix transpose (void) const
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120 { return MSparse<Complex>::transpose (); }
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121
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122 friend SparseComplexMatrix conj (const SparseComplexMatrix& a);
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123
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124 private:
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125 SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
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126 double& rcond, const bool force = false,
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127 const bool calccond = true) const;
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128
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129 SparseComplexMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
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130 double& rcond, const bool force = false,
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131 const bool calccond = true) const;
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132
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133 public:
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134 SparseComplexMatrix inverse (void) const;
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135 SparseComplexMatrix inverse (MatrixType& mattype) const;
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136 SparseComplexMatrix inverse (MatrixType& mattype,
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137 octave_idx_type& info) const;
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138 SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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139 double& rcond, int force = 0,
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140 int calc_cond = 1) const;
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141
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142 ComplexDET determinant (void) const;
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143 ComplexDET determinant (octave_idx_type& info) const;
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144 ComplexDET determinant (octave_idx_type& info, double& rcond,
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145 int calc_cond = 1) const;
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146
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147 private:
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148 // Diagonal matrix solvers
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149 ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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150 double& rcond, solve_singularity_handler sing_handler,
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151 bool calc_cond = false) const;
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152
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153 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
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154 octave_idx_type& info, double& rcond,
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155 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 SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 // Upper triangular matrix solvers
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169 ComplexMatrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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170 double& rcond, 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 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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174 octave_idx_type& info, double& rcond,
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175 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 SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 // Lower triangular matrix solvers
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189 ComplexMatrix ltsolve (MatrixType &typ, const Matrix& 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 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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195 octave_idx_type& info, double& rcond,
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196 solve_singularity_handler sing_handler,
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197 bool calc_cond = false) const;
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198
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199 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 // Tridiagonal matrix solvers
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210 ComplexMatrix trisolve (MatrixType &typ, const Matrix& b,
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211 octave_idx_type& info, double& rcond,
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212 solve_singularity_handler sing_handler,
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213 bool calc_cond = false) const;
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214
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215 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& 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 SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 // Banded matrix solvers (umfpack/cholesky)
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231 ComplexMatrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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232 double& rcond, 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 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
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236 octave_idx_type& info, double& rcond,
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237 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 SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 // Full matrix solvers (umfpack/cholesky)
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251 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
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252 Matrix &Info, solve_singularity_handler sing_handler,
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253 bool calc_cond) const;
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254
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255 ComplexMatrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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256 double& rcond, 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 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& 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 SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& 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 SparseComplexMatrix& 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 public:
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275 // Generic interface to solver with no probing of type
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276 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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277 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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278 octave_idx_type& info) const;
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279 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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280 double& rcond) const;
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281 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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282 double& rcond, solve_singularity_handler sing_handler,
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283 bool singular_fallback = true) const;
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284
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285 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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286 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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287 octave_idx_type& info) const;
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288 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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289 octave_idx_type& info, double& rcond) const;
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290 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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291 octave_idx_type& info, double& rcond,
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292 solve_singularity_handler sing_handler,
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293 bool singular_fallback = true) const;
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294
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295 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
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296 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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297 octave_idx_type& info) const;
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298 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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299 octave_idx_type& info, double& rcond) const;
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300 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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301 octave_idx_type& info, double& rcond,
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302 solve_singularity_handler sing_handler,
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303 bool singular_fallback = true) const;
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304
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305 SparseComplexMatrix solve (MatrixType &typ,
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306 const SparseComplexMatrix& b) const;
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307 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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308 octave_idx_type& info) const;
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309 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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310 octave_idx_type& info, double& rcond) const;
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311 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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312 octave_idx_type& info, double& rcond,
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313 solve_singularity_handler sing_handler,
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314 bool singular_fallback = true) const;
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315
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316 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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317 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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318 octave_idx_type& info) const;
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319 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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320 octave_idx_type& info, double& rcond) const;
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321 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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322 octave_idx_type& info, double& rcond,
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323 solve_singularity_handler sing_handler) const;
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324
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325 ComplexColumnVector solve (MatrixType &typ,
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326 const ComplexColumnVector& b) const;
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327 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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328 octave_idx_type& info) const;
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329 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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330 octave_idx_type& info, double& rcond) const;
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331 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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332 octave_idx_type& info, double& rcond,
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333 solve_singularity_handler sing_handler) const;
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334
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335 // Generic interface to solver with probing of type
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336 ComplexMatrix solve (const Matrix& b) const;
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337 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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338 ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
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339 double& rcond) const;
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340 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
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341 solve_singularity_handler sing_handler) const;
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342
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343 ComplexMatrix solve (const ComplexMatrix& b) const;
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344 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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345 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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346 double& rcond) const;
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347 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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348 double& rcond, solve_singularity_handler sing_handler) const;
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349
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350 SparseComplexMatrix solve (const SparseMatrix& b) const;
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351 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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352 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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353 double& rcond) const;
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354 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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355 double& rcond,
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356 solve_singularity_handler sing_handler) const;
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357
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358 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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359 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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360 octave_idx_type& info) const;
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361 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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362 octave_idx_type& info, double& rcond) const;
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363 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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364 octave_idx_type& info, double& rcond,
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365 solve_singularity_handler sing_handler) const;
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366
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367 ComplexColumnVector solve (const ColumnVector& b) const;
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368 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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369 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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370 double& rcond) const;
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371 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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372 double& rcond,
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373 solve_singularity_handler sing_handler) const;
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374
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375 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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376 ComplexColumnVector solve (const ComplexColumnVector& b,
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377 octave_idx_type& info) const;
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378 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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379 double& rcond) const;
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380 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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381 double& rcond,
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382 solve_singularity_handler sing_handler) const;
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383
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384 SparseComplexMatrix squeeze (void) const;
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385
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386 SparseComplexMatrix index (idx_vector& i, int resize_ok) const;
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387
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388 SparseComplexMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const;
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389
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390 SparseComplexMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const;
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391
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392 SparseComplexMatrix reshape (const dim_vector& new_dims) const;
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393
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394 SparseComplexMatrix permute (const Array<octave_idx_type>& vec,
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395 bool inv = false) const;
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396
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397 SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const;
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398
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399 SparseComplexMatrix map (c_c_Mapper f) const;
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400 SparseMatrix map (d_c_Mapper f) const;
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401 SparseBoolMatrix map (b_c_Mapper f) const;
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402
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403 SparseComplexMatrix& apply (c_c_Mapper f);
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404
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405 bool any_element_is_inf_or_nan (void) const;
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406 bool all_elements_are_real (void) const;
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407 bool all_integers (double& max_val, double& min_val) const;
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408 bool too_large_for_float (void) const;
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409
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410 SparseBoolMatrix operator ! (void) const;
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411
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412 SparseBoolMatrix all (int dim = -1) const;
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413 SparseBoolMatrix any (int dim = -1) const;
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414
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415 SparseComplexMatrix cumprod (int dim = -1) const;
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416 SparseComplexMatrix cumsum (int dim = -1) const;
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417 SparseComplexMatrix prod (int dim = -1) const;
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418 SparseComplexMatrix sum (int dim = -1) const;
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419 SparseComplexMatrix sumsq (int dim = -1) const;
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420 SparseMatrix abs (void) const;
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421
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422 SparseComplexMatrix diag (octave_idx_type k = 0) const;
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423
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424 // i/o
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425 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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426 const SparseComplexMatrix& a);
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427 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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428 SparseComplexMatrix& a);
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429 };
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430
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431 extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
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432 const SparseComplexMatrix&);
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433 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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434 const SparseMatrix&);
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435 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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436 const SparseComplexMatrix&);
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437
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438 extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
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439 const SparseComplexMatrix&);
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440 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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441 const SparseMatrix&);
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442 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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443 const SparseComplexMatrix&);
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444
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445 extern OCTAVE_API ComplexMatrix operator * (const SparseMatrix&,
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446 const ComplexMatrix&);
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447 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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448 const Matrix&);
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449 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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450 const ComplexMatrix&);
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451
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452 extern OCTAVE_API SparseComplexMatrix min (const Complex& c,
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453 const SparseComplexMatrix& m);
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454 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& m,
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455 const Complex& c);
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456 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& a,
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457 const SparseComplexMatrix& b);
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458
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459 extern OCTAVE_API SparseComplexMatrix max (const Complex& c,
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460 const SparseComplexMatrix& m);
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461 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& m,
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462 const Complex& c);
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463 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& a,
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464 const SparseComplexMatrix& b);
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465
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466 SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex)
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467 SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex)
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468
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469 SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix)
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470 SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix)
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471
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472 SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix)
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473 SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix)
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474
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475 SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex)
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476
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477 #ifdef IDX_TYPE_LONG
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478 #define UMFPACK_ZNAME(name) umfpack_zl_ ## name
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479 #else
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480 #define UMFPACK_ZNAME(name) umfpack_zi_ ## name
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481 #endif
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482
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483 #endif
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484
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485 /*
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486 ;;; Local Variables: ***
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487 ;;; mode: C++ ***
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488 ;;; End: ***
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489 */