annotate liboctave/array/CMatrix.h @ 20614:10ec79b47808

use new string_value method to handle value extraction errors * __voronoi__.cc, chol.cc, colamd.cc, fftw.cc: Use new string_value method.
author John W. Eaton <jwe@octave.org>
date Thu, 08 Oct 2015 18:15:56 -0400
parents 4197fc428c7d
children
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1 /*
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2
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3 Copyright (C) 1994-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if !defined (octave_CMatrix_h)
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24 #define octave_CMatrix_h 1
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25
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26 #include "MArray.h"
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27 #include "MDiagArray2.h"
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28 #include "MatrixType.h"
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29 #include "CNDArray.h"
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31 #include "mx-defs.h"
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32 #include "mx-op-decl.h"
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33 #include "oct-cmplx.h"
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34 #include "DET.h"
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35
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36 class
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37 OCTAVE_API
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38 ComplexMatrix : public ComplexNDArray
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39 {
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40 public:
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41
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42 typedef ComplexColumnVector column_vector_type;
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43 typedef ComplexRowVector row_vector_type;
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44
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45 typedef void (*solve_singularity_handler) (double rcon);
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47 ComplexMatrix (void) : ComplexNDArray () { }
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48
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49 ComplexMatrix (octave_idx_type r, octave_idx_type c)
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50 : ComplexNDArray (dim_vector (r, c)) { }
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51
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52 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
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53 : ComplexNDArray (dim_vector (r, c), val) { }
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54
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55 ComplexMatrix (const dim_vector& dv) : ComplexNDArray (dv.redim (2)) { }
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56
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57 ComplexMatrix (const dim_vector& dv, const Complex& val)
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58 : ComplexNDArray (dv.redim (2), val) { }
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59
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60 ComplexMatrix (const ComplexMatrix& a) : ComplexNDArray (a) { }
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61
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62 template <class U>
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63 ComplexMatrix (const MArray<U>& a) : ComplexNDArray (a.as_matrix ()) { }
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65 template <class U>
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66 ComplexMatrix (const Array<U>& a) : ComplexNDArray (a.as_matrix ()) { }
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67
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68 ComplexMatrix (const Matrix& re, const Matrix& im);
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69
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70 explicit ComplexMatrix (const Matrix& a);
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72 explicit ComplexMatrix (const RowVector& rv);
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74 explicit ComplexMatrix (const ColumnVector& cv);
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76 explicit ComplexMatrix (const DiagMatrix& a);
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77
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78 explicit ComplexMatrix (const MDiagArray2<double>& a);
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79
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80 explicit ComplexMatrix (const DiagArray2<double>& a);
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81
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82 explicit ComplexMatrix (const ComplexRowVector& rv);
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83
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84 explicit ComplexMatrix (const ComplexColumnVector& cv);
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85
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86 explicit ComplexMatrix (const ComplexDiagMatrix& a);
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87
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88 explicit ComplexMatrix (const MDiagArray2<Complex>& a);
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89
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90 explicit ComplexMatrix (const DiagArray2<Complex>& a);
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91
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92 explicit ComplexMatrix (const boolMatrix& a);
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94 explicit ComplexMatrix (const charMatrix& a);
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95
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96 bool operator == (const ComplexMatrix& a) const;
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97 bool operator != (const ComplexMatrix& a) const;
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98
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99 bool is_hermitian (void) const;
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100
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101 // destructive insert/delete/reorder operations
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102
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103 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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104 ComplexMatrix& insert (const RowVector& a,
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105 octave_idx_type r, octave_idx_type c);
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106 ComplexMatrix& insert (const ColumnVector& a,
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107 octave_idx_type r, octave_idx_type c);
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108 ComplexMatrix& insert (const DiagMatrix& a,
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109 octave_idx_type r, octave_idx_type c);
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110
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111 ComplexMatrix& insert (const ComplexMatrix& a,
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112 octave_idx_type r, octave_idx_type c);
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113 ComplexMatrix& insert (const ComplexRowVector& a,
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114 octave_idx_type r, octave_idx_type c);
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115 ComplexMatrix& insert (const ComplexColumnVector& a,
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116 octave_idx_type r, octave_idx_type c);
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117 ComplexMatrix& insert (const ComplexDiagMatrix& a,
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118 octave_idx_type r, octave_idx_type c);
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119
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120 ComplexMatrix& fill (double val);
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121 ComplexMatrix& fill (const Complex& val);
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122 ComplexMatrix& fill (double val,
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123 octave_idx_type r1, octave_idx_type c1,
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124 octave_idx_type r2, octave_idx_type c2);
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125 ComplexMatrix& fill (const Complex& val,
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126 octave_idx_type r1, octave_idx_type c1,
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127 octave_idx_type r2, octave_idx_type c2);
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128
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129 ComplexMatrix append (const Matrix& a) const;
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130 ComplexMatrix append (const RowVector& a) const;
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131 ComplexMatrix append (const ColumnVector& a) const;
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132 ComplexMatrix append (const DiagMatrix& a) const;
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133
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134 ComplexMatrix append (const ComplexMatrix& a) const;
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135 ComplexMatrix append (const ComplexRowVector& a) const;
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136 ComplexMatrix append (const ComplexColumnVector& a) const;
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137 ComplexMatrix append (const ComplexDiagMatrix& a) const;
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138
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139 ComplexMatrix stack (const Matrix& a) const;
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140 ComplexMatrix stack (const RowVector& a) const;
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141 ComplexMatrix stack (const ColumnVector& a) const;
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142 ComplexMatrix stack (const DiagMatrix& a) const;
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143
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144 ComplexMatrix stack (const ComplexMatrix& a) const;
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145 ComplexMatrix stack (const ComplexRowVector& a) const;
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146 ComplexMatrix stack (const ComplexColumnVector& a) const;
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147 ComplexMatrix stack (const ComplexDiagMatrix& a) const;
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148
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149 ComplexMatrix hermitian (void) const
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150 { return MArray<Complex>::hermitian (std::conj); }
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151 ComplexMatrix transpose (void) const
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152 { return MArray<Complex>::transpose (); }
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153
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154 friend OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
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155
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156 // resize is the destructive equivalent for this one
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157
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158 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1,
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159 octave_idx_type r2, octave_idx_type c2) const;
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160
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161 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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162 octave_idx_type nr, octave_idx_type nc) const;
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163
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164 // extract row or column i.
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165
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166 ComplexRowVector row (octave_idx_type i) const;
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167
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168 ComplexColumnVector column (octave_idx_type i) const;
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169
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170 void resize (octave_idx_type nr, octave_idx_type nc,
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171 const Complex& rfv = Complex (0))
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172 {
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173 MArray<Complex>::resize (dim_vector (nr, nc), rfv);
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174 }
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175
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176 private:
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177 ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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178 double& rcon, int force, int calc_cond) const;
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179
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180 ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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181 double& rcon, int force, int calc_cond) const;
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182
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183 public:
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184 ComplexMatrix inverse (void) const;
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185 ComplexMatrix inverse (octave_idx_type& info) const;
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186 ComplexMatrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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187 int calc_cond = 1) const;
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188
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189 ComplexMatrix inverse (MatrixType &mattype) const;
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190 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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191 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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192 double& rcon, int force = 0,
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193 int calc_cond = 1) const;
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194
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195 ComplexMatrix pseudo_inverse (double tol = 0.0) const;
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196
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197 ComplexMatrix fourier (void) const;
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198 ComplexMatrix ifourier (void) const;
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199
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200 ComplexMatrix fourier2d (void) const;
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201 ComplexMatrix ifourier2d (void) const;
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202
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203 ComplexDET determinant (void) const;
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204 ComplexDET determinant (octave_idx_type& info) const;
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205 ComplexDET determinant (octave_idx_type& info, double& rcon,
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206 int calc_cond = 1) const;
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207 ComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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208 double& rcon, int calc_cond = 1) const;
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209
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210 double rcond (void) const;
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211 double rcond (MatrixType &mattype) const;
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212
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213 private:
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214 // Upper triangular matrix solvers
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215 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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216 octave_idx_type& info, double& rcon,
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217 solve_singularity_handler sing_handler,
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218 bool calc_cond = false,
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219 blas_trans_type transt = blas_no_trans) const;
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220
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221 // Lower triangular matrix solvers
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222 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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223 octave_idx_type& info, double& rcon,
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224 solve_singularity_handler sing_handler,
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225 bool calc_cond = false,
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226 blas_trans_type transt = blas_no_trans) const;
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227
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228 // Full matrix solvers (umfpack/cholesky)
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229 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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230 octave_idx_type& info, double& rcon,
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231 solve_singularity_handler sing_handler,
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232 bool calc_cond = false) const;
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233
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234 public:
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235 // Generic interface to solver with no probing of type
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236 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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237 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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238 octave_idx_type& info) const;
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239 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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240 octave_idx_type& info, double& rcon) const;
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241 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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242 double& rcon, solve_singularity_handler sing_handler,
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243 bool singular_fallback = true,
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244 blas_trans_type transt = blas_no_trans) const;
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245
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246 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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247 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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248 octave_idx_type& info) const;
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249 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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250 octave_idx_type& info, double& rcon) const;
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251 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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252 octave_idx_type& info, double& rcon,
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253 solve_singularity_handler sing_handler,
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254 bool singular_fallback = true,
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255 blas_trans_type transt = blas_no_trans) const;
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256
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257 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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258 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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259 octave_idx_type& info) const;
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260 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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261 octave_idx_type& info, double& rcon) const;
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262 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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263 octave_idx_type& info, double& rcon,
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264 solve_singularity_handler sing_handler,
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265 blas_trans_type transt = blas_no_trans) const;
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266
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267 ComplexColumnVector solve (MatrixType &typ,
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268 const ComplexColumnVector& b) const;
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269 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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270 octave_idx_type& info) const;
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271 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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272 octave_idx_type& info, double& rcon) const;
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273 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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274 octave_idx_type& info, double& rcon,
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275 solve_singularity_handler sing_handler,
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276 blas_trans_type transt = blas_no_trans) const;
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277
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278 // Generic interface to solver with probing of type
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279 ComplexMatrix solve (const Matrix& b) const;
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280 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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281 ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
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282 double& rcon) const;
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283 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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284 solve_singularity_handler sing_handler,
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285 blas_trans_type transt = blas_no_trans) const;
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286
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287 ComplexMatrix solve (const ComplexMatrix& b) const;
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288 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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289 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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290 double& rcon) const;
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291 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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292 double& rcon,
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293 solve_singularity_handler sing_handler,
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294 blas_trans_type transt = blas_no_trans) const;
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295
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296 ComplexColumnVector solve (const ColumnVector& b) const;
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297 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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298 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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299 double& rcon) const;
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300 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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301 double& rcon,
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302 solve_singularity_handler sing_handler,
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303 blas_trans_type transt = blas_no_trans) const;
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304
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305 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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306 ComplexColumnVector solve (const ComplexColumnVector& b,
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307 octave_idx_type& info) const;
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308 ComplexColumnVector solve (const ComplexColumnVector& b,
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309 octave_idx_type& info,
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310 double& rcon) const;
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311 ComplexColumnVector solve (const ComplexColumnVector& b,
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312 octave_idx_type& info,
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313 double& rcon,
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314 solve_singularity_handler sing_handler,
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315 blas_trans_type transt = blas_no_trans) const;
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316
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317 ComplexMatrix lssolve (const Matrix& b) const;
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318 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const;
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319 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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320 octave_idx_type& rank) const;
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321 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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322 octave_idx_type& rank, double& rcon) const;
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323
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324 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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325 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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326 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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327 octave_idx_type& rank) const;
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328 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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329 octave_idx_type& rank, double& rcon) const;
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330
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331 ComplexColumnVector lssolve (const ColumnVector& b) const;
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332 ComplexColumnVector lssolve (const ColumnVector& b,
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333 octave_idx_type& info) const;
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334 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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335 octave_idx_type& rank) const;
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336 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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337 octave_idx_type& rank, double& rcon) const;
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338
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339 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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340 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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341 octave_idx_type& info) const;
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342 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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343 octave_idx_type& info,
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344 octave_idx_type& rank) const;
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345 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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346 octave_idx_type& info,
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347 octave_idx_type& rank, double& rcon) const;
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348
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349 // matrix by diagonal matrix -> matrix operations
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350
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351 ComplexMatrix& operator += (const DiagMatrix& a);
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352 ComplexMatrix& operator -= (const DiagMatrix& a);
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353
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354 ComplexMatrix& operator += (const ComplexDiagMatrix& a);
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355 ComplexMatrix& operator -= (const ComplexDiagMatrix& a);
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356
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357 // matrix by matrix -> matrix operations
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358
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359 ComplexMatrix& operator += (const Matrix& a);
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360 ComplexMatrix& operator -= (const Matrix& a);
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361
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362 // other operations
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363
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364 boolMatrix all (int dim = -1) const;
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365 boolMatrix any (int dim = -1) const;
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366
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367 ComplexMatrix cumprod (int dim = -1) const;
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368 ComplexMatrix cumsum (int dim = -1) const;
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369 ComplexMatrix prod (int dim = -1) const;
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370 ComplexMatrix sum (int dim = -1) const;
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371 ComplexMatrix sumsq (int dim = -1) const;
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372 Matrix abs (void) const;
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373
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374 ComplexMatrix diag (octave_idx_type k = 0) const;
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375
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376 ComplexDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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377
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378 bool row_is_real_only (octave_idx_type) const;
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379 bool column_is_real_only (octave_idx_type) const;
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380
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381 ComplexColumnVector row_min (void) const;
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382 ComplexColumnVector row_max (void) const;
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383
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384 ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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385 ComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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386
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387 ComplexRowVector column_min (void) const;
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388 ComplexRowVector column_max (void) const;
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389
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390 ComplexRowVector column_min (Array<octave_idx_type>& index) const;
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391 ComplexRowVector column_max (Array<octave_idx_type>& index) const;
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392
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393 // i/o
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394
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395 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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396 const ComplexMatrix& a);
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397 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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398 ComplexMatrix& a);
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399 };
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400
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401 extern OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
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402
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403 // column vector by row vector -> matrix operations
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404
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405 extern OCTAVE_API ComplexMatrix
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406 operator * (const ColumnVector& a, const ComplexRowVector& b);
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407
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408 extern OCTAVE_API ComplexMatrix
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409 operator * (const ComplexColumnVector& a, const RowVector& b);
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410
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411 extern OCTAVE_API ComplexMatrix
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412 operator * (const ComplexColumnVector& a, const ComplexRowVector& b);
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413
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414 extern OCTAVE_API ComplexMatrix
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415 Givens (const Complex&, const Complex&);
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416
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417 extern OCTAVE_API ComplexMatrix
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418 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);
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419
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420 extern OCTAVE_API ComplexMatrix
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421 xgemm (const ComplexMatrix& a, const ComplexMatrix& b,
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422 blas_trans_type transa = blas_no_trans,
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parents: 9663
diff changeset
423 blas_trans_type transb = blas_no_trans);
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parents: 7789
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424
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Rik <rik@octave.org>
parents: 17744
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425 extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
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Rik <rik@octave.org>
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426 const ComplexMatrix&);
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
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427 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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Rik <rik@octave.org>
parents: 17744
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428 const Matrix&);
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
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429 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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Rik <rik@octave.org>
parents: 17744
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430 const ComplexMatrix&);
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jwe
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431
6108
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jwe
parents: 5958
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432 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5958
diff changeset
433 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
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Rik <rik@octave.org>
parents: 17744
diff changeset
434 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a,
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Rik <rik@octave.org>
parents: 17744
diff changeset
435 const ComplexMatrix& b);
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jwe
parents: 4192
diff changeset
436
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jwe
parents: 5958
diff changeset
437 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
143b556ce725 [project @ 2006-10-27 01:45:54 by jwe]
jwe
parents: 5958
diff changeset
438 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
17769
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Rik <rik@octave.org>
parents: 17744
diff changeset
439 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents: 17744
diff changeset
440 const ComplexMatrix& b);
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jwe
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441
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John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
442 extern OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector& x1,
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
443 const ComplexColumnVector& x2,
9653
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Jaroslav Hajek <highegg@gmail.com>
parents: 9237
diff changeset
444 octave_idx_type n);
e087d7c77ff9 improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents: 9237
diff changeset
445
e087d7c77ff9 improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents: 9237
diff changeset
446
6708
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jwe
parents: 6479
diff changeset
447 MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
0ce71beb1cf3 [project @ 2007-06-13 06:40:48 by jwe]
jwe
parents: 6479
diff changeset
448 MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
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jwe
parents: 2847
diff changeset
449
6708
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jwe
parents: 6479
diff changeset
450 SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
0ce71beb1cf3 [project @ 2007-06-13 06:40:48 by jwe]
jwe
parents: 6479
diff changeset
451 SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
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jwe
parents: 2847
diff changeset
452
6708
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jwe
parents: 6479
diff changeset
453 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
0ce71beb1cf3 [project @ 2007-06-13 06:40:48 by jwe]
jwe
parents: 6479
diff changeset
454 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
2870
3241d0057e78 [project @ 1997-04-19 01:21:29 by jwe]
jwe
parents: 2847
diff changeset
455
10350
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Jaroslav Hajek <highegg@gmail.com>
parents: 10312
diff changeset
456 MARRAY_FORWARD_DEFS (MArray, ComplexMatrix, Complex)
3573
6ae6f1180e62 [project @ 2000-02-04 09:01:59 by jwe]
jwe
parents: 3504
diff changeset
457
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
458 #endif