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annotate liboctave/array/fCMatrix.h @ 19198:96751a74bbbb

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Start doxygenising sources * Screen.cpp Screen.h Vt102Emulation.cpp files-dock-widget.h main-window.h octave-qt-link.h parser.h: Reformat existing Doxygen commands to use @ instead of \ to start a command. * Array.h: Convert existing comments into Doxygen comments.
author Jordi Gutiérrez Hermoso <jordigh@octave.org>
date Tue, 12 Aug 2014 15:27:16 -0400
parents ebb3ef964372
children d0c73e23a505
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1 /*
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2
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3 Copyright (C) 1994-2013 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_fCMatrix_h)
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24 #define octave_fCMatrix_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
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30 #include "mx-defs.h"
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31 #include "mx-op-decl.h"
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32 #include "oct-cmplx.h"
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33 #include "DET.h"
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34
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35 class
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36 OCTAVE_API
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37 FloatComplexMatrix : public MArray<FloatComplex>
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38 {
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39 public:
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40
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41 typedef FloatComplexColumnVector column_vector_type;
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42 typedef FloatComplexRowVector row_vector_type;
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43
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44 typedef void (*solve_singularity_handler) (float rcon);
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45
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46 FloatComplexMatrix (void) : MArray<FloatComplex> () { }
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47
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48 FloatComplexMatrix (octave_idx_type r, octave_idx_type c)
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49 : MArray<FloatComplex> (dim_vector (r, c)) { }
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50
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51 FloatComplexMatrix (octave_idx_type r, octave_idx_type c,
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52 const FloatComplex& val)
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53 : MArray<FloatComplex> (dim_vector (r, c), val) { }
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54
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55 FloatComplexMatrix (const dim_vector& dv)
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56 : MArray<FloatComplex> (dv.redim (2)) { }
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57
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58 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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59 : MArray<FloatComplex> (dv.redim (2), val) { }
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60
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61 FloatComplexMatrix (const FloatComplexMatrix& a)
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62 : MArray<FloatComplex> (a) { }
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63
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64 template <class U>
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65 FloatComplexMatrix (const MArray<U>& a)
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66 : MArray<FloatComplex> (a.as_matrix ()) { }
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67
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68 template <class U>
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69 FloatComplexMatrix (const Array<U>& a)
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70 : MArray<FloatComplex> (a.as_matrix ()) { }
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72 explicit FloatComplexMatrix (const FloatMatrix& a);
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73
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74 explicit FloatComplexMatrix (const FloatRowVector& rv);
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75
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76 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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77
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78 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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79
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80 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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81
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82 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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83
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84 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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85
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86 explicit FloatComplexMatrix (const boolMatrix& a);
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87
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88 explicit FloatComplexMatrix (const charMatrix& a);
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89
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90 FloatComplexMatrix (const FloatMatrix& re, const FloatMatrix& im);
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91
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92 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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93 {
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94 MArray<FloatComplex>::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 FloatComplexMatrix& a) const;
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99 bool operator != (const FloatComplexMatrix& 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 // destructive insert/delete/reorder operations
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104
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105 FloatComplexMatrix& insert (const FloatMatrix& a,
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106 octave_idx_type r, octave_idx_type c);
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107 FloatComplexMatrix& insert (const FloatRowVector& a,
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108 octave_idx_type r, octave_idx_type c);
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109 FloatComplexMatrix& insert (const FloatColumnVector& a,
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110 octave_idx_type r, octave_idx_type c);
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111 FloatComplexMatrix& insert (const FloatDiagMatrix& a,
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112 octave_idx_type r, octave_idx_type c);
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113
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114 FloatComplexMatrix& insert (const FloatComplexMatrix& a,
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115 octave_idx_type r, octave_idx_type c);
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116 FloatComplexMatrix& insert (const FloatComplexRowVector& a,
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117 octave_idx_type r, octave_idx_type c);
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118 FloatComplexMatrix& insert (const FloatComplexColumnVector& a,
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119 octave_idx_type r, octave_idx_type c);
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120 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a,
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121 octave_idx_type r, octave_idx_type c);
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122
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123 FloatComplexMatrix& fill (float val);
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124 FloatComplexMatrix& fill (const FloatComplex& val);
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125 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1,
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126 octave_idx_type r2, octave_idx_type c2);
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127 FloatComplexMatrix& fill (const FloatComplex& val,
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128 octave_idx_type r1, octave_idx_type c1,
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129 octave_idx_type r2, octave_idx_type c2);
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130
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131 FloatComplexMatrix append (const FloatMatrix& a) const;
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132 FloatComplexMatrix append (const FloatRowVector& a) const;
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133 FloatComplexMatrix append (const FloatColumnVector& a) const;
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134 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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135
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136 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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137 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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138 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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139 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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140
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141 FloatComplexMatrix stack (const FloatMatrix& a) const;
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142 FloatComplexMatrix stack (const FloatRowVector& a) const;
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143 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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144 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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145
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146 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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147 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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148 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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149 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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150
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151 FloatComplexMatrix hermitian (void) const
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152 { return MArray<FloatComplex>::hermitian (std::conj); }
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153 FloatComplexMatrix transpose (void) const
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154 { return MArray<FloatComplex>::transpose (); }
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155
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156 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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157
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158 // resize is the destructive equivalent for this one
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159
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160 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1,
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161 octave_idx_type r2, octave_idx_type c2) const;
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162
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163 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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164 octave_idx_type nr, octave_idx_type nc) const;
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165
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166 // extract row or column i.
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167
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168 FloatComplexRowVector row (octave_idx_type i) const;
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169
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170 FloatComplexColumnVector column (octave_idx_type i) const;
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171
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172 void resize (octave_idx_type nr, octave_idx_type nc,
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173 const FloatComplex& rfv = FloatComplex (0))
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174 {
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175 MArray<FloatComplex>::resize (dim_vector (nr, nc), rfv);
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176 }
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177
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178 private:
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179 FloatComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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180 float& rcon, int force, int calc_cond) const;
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181
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182 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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183 float& rcon, int force, int calc_cond) const;
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184
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185 public:
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186 FloatComplexMatrix inverse (void) const;
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187 FloatComplexMatrix inverse (octave_idx_type& info) const;
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188 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon,
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189 int force = 0, int calc_cond = 1) const;
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190
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191 FloatComplexMatrix inverse (MatrixType &mattype) const;
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192 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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193 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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194 float& rcon, int force = 0,
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195 int calc_cond = 1) const;
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196
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197 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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198
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199 FloatComplexMatrix fourier (void) const;
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200 FloatComplexMatrix ifourier (void) const;
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201
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202 FloatComplexMatrix fourier2d (void) const;
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203 FloatComplexMatrix ifourier2d (void) const;
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204
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205 FloatComplexDET determinant (void) const;
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206 FloatComplexDET determinant (octave_idx_type& info) const;
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207 FloatComplexDET determinant (octave_idx_type& info, float& rcon,
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208 int calc_cond = 1) const;
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209 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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210 float& rcon, int calc_cond = 1) const;
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211
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212 float rcond (void) const;
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213 float rcond (MatrixType &mattype) const;
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214
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215 private:
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216 // Upper triangular matrix solvers
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217 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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218 octave_idx_type& info, float& rcon,
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219 solve_singularity_handler sing_handler,
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220 bool calc_cond = false,
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221 blas_trans_type transt = blas_no_trans) const;
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222
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223 // Lower triangular matrix solvers
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224 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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225 octave_idx_type& info, float& rcon,
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226 solve_singularity_handler sing_handler,
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227 bool calc_cond = false,
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228 blas_trans_type transt = blas_no_trans) const;
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229
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230 // Full matrix solvers (umfpack/cholesky)
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231 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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232 octave_idx_type& info, float& rcon,
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233 solve_singularity_handler sing_handler,
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234 bool calc_cond = false) const;
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235
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236 public:
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237 // Generic interface to solver with no probing of type
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238 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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239 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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240 octave_idx_type& info) const;
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241 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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242 octave_idx_type& info, float& rcon) const;
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243 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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244 octave_idx_type& info,
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245 float& rcon, solve_singularity_handler sing_handler,
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246 bool singular_fallback = true,
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247 blas_trans_type transt = blas_no_trans) const;
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248
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249 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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250 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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251 octave_idx_type& info) const;
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252 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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253 octave_idx_type& info, float& rcon) const;
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254 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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255 octave_idx_type& info, float& rcon,
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256 solve_singularity_handler sing_handler,
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257 bool singular_fallback = true,
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258 blas_trans_type transt = blas_no_trans) const;
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259
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260 FloatComplexColumnVector solve (MatrixType &typ,
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261 const FloatColumnVector& b) const;
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262 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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263 octave_idx_type& info) const;
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264 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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265 octave_idx_type& info, float& rcon) const;
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266 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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267 octave_idx_type& info, float& rcon,
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268 solve_singularity_handler sing_handler,
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269 blas_trans_type transt = blas_no_trans) const;
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270
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271 FloatComplexColumnVector solve (MatrixType &typ,
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272 const FloatComplexColumnVector& b) const;
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273 FloatComplexColumnVector solve (MatrixType &typ,
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274 const FloatComplexColumnVector& b,
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275 octave_idx_type& info) const;
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276 FloatComplexColumnVector solve (MatrixType &typ,
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277 const FloatComplexColumnVector& b,
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278 octave_idx_type& info, float& rcon) const;
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279 FloatComplexColumnVector solve (MatrixType &typ,
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280 const FloatComplexColumnVector& b,
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281 octave_idx_type& info, float& rcon,
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282 solve_singularity_handler sing_handler,
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283 blas_trans_type transt = blas_no_trans) const;
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284
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285 // Generic interface to solver with probing of type
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286 FloatComplexMatrix solve (const FloatMatrix& b) const;
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287 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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288 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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289 float& rcon) const;
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290 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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291 float& rcon,
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292 solve_singularity_handler sing_handler,
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293 blas_trans_type transt = blas_no_trans) const;
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294
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295 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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296 FloatComplexMatrix solve (const FloatComplexMatrix& b,
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297 octave_idx_type& info) const;
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298 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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299 float& rcon) const;
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300 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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301 float& 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 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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306 FloatComplexColumnVector solve (const FloatColumnVector& b,
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307 octave_idx_type& info) const;
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308 FloatComplexColumnVector solve (const FloatColumnVector& b,
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309 octave_idx_type& info,
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310 float& rcon) const;
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311 FloatComplexColumnVector solve (const FloatColumnVector& b,
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312 octave_idx_type& info, float& rcon,
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313 solve_singularity_handler sing_handler,
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314 blas_trans_type transt = blas_no_trans) const;
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315
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316 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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317 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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318 octave_idx_type& info) const;
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319 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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320 octave_idx_type& info,
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321 float& rcon) const;
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322 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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323 octave_idx_type& info,
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324 float& rcon,
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325 solve_singularity_handler sing_handler,
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326 blas_trans_type transt = blas_no_trans) const;
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327
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328 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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329 FloatComplexMatrix lssolve (const FloatMatrix& b,
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330 octave_idx_type& info) const;
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331 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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332 octave_idx_type& rank) const;
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333 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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334 octave_idx_type& rank, float& rcon) const;
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335
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336 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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337 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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338 octave_idx_type& info) const;
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339 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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340 octave_idx_type& info, octave_idx_type& rank) const;
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341 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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342 octave_idx_type& info, octave_idx_type& rank, float& rcon) const;
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343
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344 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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345 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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346 octave_idx_type& info) const;
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347 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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348 octave_idx_type& info,
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349 octave_idx_type& rank) const;
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350 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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351 octave_idx_type& info,
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352 octave_idx_type& rank, float& rcon) const;
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353
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354 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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355 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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356 octave_idx_type& info) const;
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357 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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358 octave_idx_type& info,
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359 octave_idx_type& rank) const;
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360 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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361 octave_idx_type& info,
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362 octave_idx_type& rank, float& rcon) const;
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363
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364 // matrix by diagonal matrix -> matrix operations
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365
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366 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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367 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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368
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369 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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370 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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371
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372 // matrix by matrix -> matrix operations
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373
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374 FloatComplexMatrix& operator += (const FloatMatrix& a);
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375 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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376
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377 // unary operations
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378
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379 boolMatrix operator ! (void) const;
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380
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381 // other operations
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382
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383 bool any_element_is_nan (void) const;
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384 bool any_element_is_inf_or_nan (void) const;
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385 bool all_elements_are_real (void) const;
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386 bool all_integers (float& max_val, float& min_val) const;
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387 bool too_large_for_float (void) const;
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388
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389 boolMatrix all (int dim = -1) const;
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390 boolMatrix any (int dim = -1) const;
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391
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392 FloatComplexMatrix cumprod (int dim = -1) const;
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393 FloatComplexMatrix cumsum (int dim = -1) const;
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394 FloatComplexMatrix prod (int dim = -1) const;
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395 FloatComplexMatrix sum (int dim = -1) const;
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396 FloatComplexMatrix sumsq (int dim = -1) const;
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397 FloatMatrix abs (void) const;
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398
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399 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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400
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401 FloatComplexDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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402
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403 bool row_is_real_only (octave_idx_type) const;
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404 bool column_is_real_only (octave_idx_type) const;
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405
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406 FloatComplexColumnVector row_min (void) const;
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407 FloatComplexColumnVector row_max (void) const;
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408
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409 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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410 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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411
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412 FloatComplexRowVector column_min (void) const;
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413 FloatComplexRowVector column_max (void) const;
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414
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415 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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416 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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417
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418 // i/o
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419
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420 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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421 const FloatComplexMatrix& a);
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422 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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423 FloatComplexMatrix& a);
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424 };
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425
8650
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426 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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427
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428 // column vector by row vector -> matrix operations
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429
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430 extern OCTAVE_API FloatComplexMatrix
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431 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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432
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433 extern OCTAVE_API FloatComplexMatrix
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434 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
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435
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436 extern OCTAVE_API FloatComplexMatrix
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437 operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
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438
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439 extern OCTAVE_API FloatComplexMatrix
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440 Givens (const FloatComplex&, const FloatComplex&);
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441
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442 extern OCTAVE_API FloatComplexMatrix
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443 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&,
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444 const FloatComplexMatrix&);
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445
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446 extern OCTAVE_API FloatComplexMatrix
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447 xgemm (const FloatComplexMatrix& a, const FloatComplexMatrix& b,
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448 blas_trans_type transa = blas_no_trans,
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449 blas_trans_type transb = blas_no_trans);
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450
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451 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&,
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452 const FloatComplexMatrix&);
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453 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
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454 const FloatMatrix&);
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455 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
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456 const FloatComplexMatrix&);
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457
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458 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c,
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459 const FloatComplexMatrix& m);
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460 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m,
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461 const FloatComplex& c);
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462 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a,
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463 const FloatComplexMatrix& b);
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464
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465 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c,
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466 const FloatComplexMatrix& m);
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467 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m,
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468 const FloatComplex& c);
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469 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a,
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470 const FloatComplexMatrix& b);
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471
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472 extern OCTAVE_API FloatComplexMatrix
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473 linspace (const FloatComplexColumnVector& x1,
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474 const FloatComplexColumnVector& x2,
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475 octave_idx_type n);
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476
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477 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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478 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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479
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480 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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481 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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482
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483 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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484 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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485
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486 MARRAY_FORWARD_DEFS (MArray, FloatComplexMatrix, FloatComplex)
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487
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488 #endif