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annotate liboctave/array/fCMatrix.h @ 20595:c1a6c31ac29a

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eliminate more simple uses of error_state * ov-classdef.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Tue, 06 Oct 2015 00:20:02 -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_fCMatrix_h)
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24 #define octave_fCMatrix_h 1
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25
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26 #include "fCNDArray.h"
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27 #include "MArray.h"
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28 #include "MDiagArray2.h"
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29 #include "MatrixType.h"
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30
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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 FloatComplexMatrix : public FloatComplexNDArray
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39 {
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40 public:
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41
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42 typedef FloatComplexColumnVector column_vector_type;
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43 typedef FloatComplexRowVector row_vector_type;
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44
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45 typedef void (*solve_singularity_handler) (float rcon);
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46
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47 FloatComplexMatrix (void) : FloatComplexNDArray () { }
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48
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49 FloatComplexMatrix (octave_idx_type r, octave_idx_type c)
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50 : FloatComplexNDArray (dim_vector (r, c)) { }
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51
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52 FloatComplexMatrix (octave_idx_type r, octave_idx_type c,
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53 const FloatComplex& val)
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54 : FloatComplexNDArray (dim_vector (r, c), val) { }
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55
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56 FloatComplexMatrix (const dim_vector& dv)
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57 : FloatComplexNDArray (dv.redim (2)) { }
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58
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59 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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60 : FloatComplexNDArray (dv.redim (2), val) { }
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61
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62 FloatComplexMatrix (const FloatComplexMatrix& a)
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63 : FloatComplexNDArray (a) { }
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64
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65 template <class U>
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66 FloatComplexMatrix (const MArray<U>& a)
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67 : FloatComplexNDArray (a.as_matrix ()) { }
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68
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69 template <class U>
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70 FloatComplexMatrix (const Array<U>& a)
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71 : FloatComplexNDArray (a.as_matrix ()) { }
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73 explicit FloatComplexMatrix (const FloatMatrix& a);
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74
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75 explicit FloatComplexMatrix (const FloatRowVector& rv);
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76
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77 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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78
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79 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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80
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81 explicit FloatComplexMatrix (const MDiagArray2<float>& a);
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82
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83 explicit FloatComplexMatrix (const DiagArray2<float>& a);
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84
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85 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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86
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87 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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88
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89 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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90
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91 explicit FloatComplexMatrix (const MDiagArray2<FloatComplex>& a);
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92
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93 explicit FloatComplexMatrix (const DiagArray2<FloatComplex>& a);
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94
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95 explicit FloatComplexMatrix (const boolMatrix& a);
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96
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97 explicit FloatComplexMatrix (const charMatrix& a);
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98
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99 FloatComplexMatrix (const FloatMatrix& re, const FloatMatrix& im);
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100
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101 bool operator == (const FloatComplexMatrix& a) const;
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102 bool operator != (const FloatComplexMatrix& a) const;
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103
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104 bool is_hermitian (void) const;
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105
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106 // destructive insert/delete/reorder operations
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107
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108 FloatComplexMatrix& insert (const FloatMatrix& a,
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109 octave_idx_type r, octave_idx_type c);
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110 FloatComplexMatrix& insert (const FloatRowVector& a,
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111 octave_idx_type r, octave_idx_type c);
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112 FloatComplexMatrix& insert (const FloatColumnVector& a,
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113 octave_idx_type r, octave_idx_type c);
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114 FloatComplexMatrix& insert (const FloatDiagMatrix& a,
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115 octave_idx_type r, octave_idx_type c);
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116
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117 FloatComplexMatrix& insert (const FloatComplexMatrix& a,
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118 octave_idx_type r, octave_idx_type c);
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119 FloatComplexMatrix& insert (const FloatComplexRowVector& a,
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120 octave_idx_type r, octave_idx_type c);
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121 FloatComplexMatrix& insert (const FloatComplexColumnVector& a,
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122 octave_idx_type r, octave_idx_type c);
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123 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a,
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124 octave_idx_type r, octave_idx_type c);
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125
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126 FloatComplexMatrix& fill (float val);
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127 FloatComplexMatrix& fill (const FloatComplex& val);
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128 FloatComplexMatrix& fill (float val, 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 FloatComplexMatrix& fill (const FloatComplex& val,
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131 octave_idx_type r1, octave_idx_type c1,
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132 octave_idx_type r2, octave_idx_type c2);
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133
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134 FloatComplexMatrix append (const FloatMatrix& a) const;
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135 FloatComplexMatrix append (const FloatRowVector& a) const;
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136 FloatComplexMatrix append (const FloatColumnVector& a) const;
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137 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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138
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139 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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140 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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141 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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142 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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143
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144 FloatComplexMatrix stack (const FloatMatrix& a) const;
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145 FloatComplexMatrix stack (const FloatRowVector& a) const;
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146 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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147 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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148
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149 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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150 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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151 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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152 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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153
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154 FloatComplexMatrix hermitian (void) const
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155 { return MArray<FloatComplex>::hermitian (std::conj); }
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156 FloatComplexMatrix transpose (void) const
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157 { return MArray<FloatComplex>::transpose (); }
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158
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159 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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160
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161 // resize is the destructive equivalent for this one
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162
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163 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1,
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164 octave_idx_type r2, octave_idx_type c2) const;
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165
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166 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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167 octave_idx_type nr, octave_idx_type nc) const;
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168
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169 // extract row or column i.
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170
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171 FloatComplexRowVector row (octave_idx_type i) const;
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172
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173 FloatComplexColumnVector column (octave_idx_type i) const;
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174
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175 void resize (octave_idx_type nr, octave_idx_type nc,
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176 const FloatComplex& rfv = FloatComplex (0))
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177 {
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178 MArray<FloatComplex>::resize (dim_vector (nr, nc), rfv);
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179 }
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180
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181 private:
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182 FloatComplexMatrix tinverse (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 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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186 float& rcon, int force, int calc_cond) const;
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187
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188 public:
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189 FloatComplexMatrix inverse (void) const;
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190 FloatComplexMatrix inverse (octave_idx_type& info) const;
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191 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon,
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192 int force = 0, int calc_cond = 1) const;
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193
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194 FloatComplexMatrix inverse (MatrixType &mattype) const;
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195 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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196 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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197 float& rcon, int force = 0,
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198 int calc_cond = 1) const;
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199
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200 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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201
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202 FloatComplexMatrix fourier (void) const;
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203 FloatComplexMatrix ifourier (void) const;
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204
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205 FloatComplexMatrix fourier2d (void) const;
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206 FloatComplexMatrix ifourier2d (void) const;
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207
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208 FloatComplexDET determinant (void) const;
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209 FloatComplexDET determinant (octave_idx_type& info) const;
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210 FloatComplexDET determinant (octave_idx_type& info, float& rcon,
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211 int calc_cond = 1) const;
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212 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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213 float& rcon, int calc_cond = 1) const;
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214
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215 float rcond (void) const;
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216 float rcond (MatrixType &mattype) const;
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217
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218 private:
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219 // Upper triangular matrix solvers
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220 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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221 octave_idx_type& info, float& rcon,
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222 solve_singularity_handler sing_handler,
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223 bool calc_cond = false,
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224 blas_trans_type transt = blas_no_trans) const;
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225
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226 // Lower triangular matrix solvers
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227 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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228 octave_idx_type& info, float& rcon,
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229 solve_singularity_handler sing_handler,
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230 bool calc_cond = false,
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231 blas_trans_type transt = blas_no_trans) const;
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232
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233 // Full matrix solvers (umfpack/cholesky)
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234 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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235 octave_idx_type& info, float& rcon,
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236 solve_singularity_handler sing_handler,
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237 bool calc_cond = false) const;
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238
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239 public:
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240 // Generic interface to solver with no probing of type
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241 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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242 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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243 octave_idx_type& info) const;
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244 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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245 octave_idx_type& info, float& rcon) const;
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246 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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247 octave_idx_type& info,
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248 float& rcon, solve_singularity_handler sing_handler,
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249 bool singular_fallback = true,
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250 blas_trans_type transt = blas_no_trans) const;
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251
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252 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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253 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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254 octave_idx_type& info) const;
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255 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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256 octave_idx_type& info, float& rcon) const;
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257 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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258 octave_idx_type& info, float& rcon,
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259 solve_singularity_handler sing_handler,
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260 bool singular_fallback = true,
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261 blas_trans_type transt = blas_no_trans) const;
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262
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263 FloatComplexColumnVector solve (MatrixType &typ,
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264 const FloatColumnVector& b) const;
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265 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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266 octave_idx_type& info) const;
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267 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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268 octave_idx_type& info, float& rcon) const;
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269 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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270 octave_idx_type& info, float& rcon,
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271 solve_singularity_handler sing_handler,
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272 blas_trans_type transt = blas_no_trans) const;
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273
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274 FloatComplexColumnVector solve (MatrixType &typ,
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275 const FloatComplexColumnVector& b) 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) 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) const;
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282 FloatComplexColumnVector solve (MatrixType &typ,
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283 const FloatComplexColumnVector& b,
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284 octave_idx_type& info, float& rcon,
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285 solve_singularity_handler sing_handler,
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286 blas_trans_type transt = blas_no_trans) const;
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287
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288 // Generic interface to solver with probing of type
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289 FloatComplexMatrix solve (const FloatMatrix& b) const;
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290 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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291 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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292 float& rcon) const;
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293 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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294 float& rcon,
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295 solve_singularity_handler sing_handler,
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296 blas_trans_type transt = blas_no_trans) const;
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297
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298 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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299 FloatComplexMatrix solve (const FloatComplexMatrix& b,
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300 octave_idx_type& info) const;
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301 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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302 float& rcon) const;
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303 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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304 float& rcon,
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305 solve_singularity_handler sing_handler,
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306 blas_trans_type transt = blas_no_trans) const;
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307
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308 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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309 FloatComplexColumnVector solve (const FloatColumnVector& b,
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310 octave_idx_type& info) const;
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311 FloatComplexColumnVector solve (const FloatColumnVector& b,
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312 octave_idx_type& info,
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313 float& rcon) const;
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314 FloatComplexColumnVector solve (const FloatColumnVector& b,
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315 octave_idx_type& info, float& rcon,
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316 solve_singularity_handler sing_handler,
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317 blas_trans_type transt = blas_no_trans) const;
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318
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319 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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320 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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321 octave_idx_type& info) 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) const;
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325 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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326 octave_idx_type& info,
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327 float& rcon,
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328 solve_singularity_handler sing_handler,
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329 blas_trans_type transt = blas_no_trans) const;
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330
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331 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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332 FloatComplexMatrix lssolve (const FloatMatrix& b,
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333 octave_idx_type& info) const;
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334 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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335 octave_idx_type& rank) const;
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336 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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337 octave_idx_type& rank, float& rcon) const;
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338
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339 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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340 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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341 octave_idx_type& info) const;
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342 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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343 octave_idx_type& info, octave_idx_type& rank) const;
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344 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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345 octave_idx_type& info, octave_idx_type& rank, float& rcon) const;
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346
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347 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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348 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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349 octave_idx_type& info) 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) const;
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353 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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354 octave_idx_type& info,
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355 octave_idx_type& rank, float& rcon) const;
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356
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357 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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358 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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359 octave_idx_type& info) 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) const;
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363 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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364 octave_idx_type& info,
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365 octave_idx_type& rank, float& rcon) const;
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366
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367 // matrix by diagonal matrix -> matrix operations
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368
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369 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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370 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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371
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372 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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373 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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374
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375 // matrix by matrix -> matrix operations
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376
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377 FloatComplexMatrix& operator += (const FloatMatrix& a);
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378 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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379
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380 // unary operations
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381
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382 boolMatrix operator ! (void) const;
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383
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384 // other operations
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385
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386 boolMatrix all (int dim = -1) const;
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387 boolMatrix any (int dim = -1) const;
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388
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389 FloatComplexMatrix cumprod (int dim = -1) const;
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390 FloatComplexMatrix cumsum (int dim = -1) const;
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391 FloatComplexMatrix prod (int dim = -1) const;
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392 FloatComplexMatrix sum (int dim = -1) const;
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393 FloatComplexMatrix sumsq (int dim = -1) const;
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394 FloatMatrix abs (void) const;
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395
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396 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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397
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398 FloatComplexDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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399
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400 bool row_is_real_only (octave_idx_type) const;
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401 bool column_is_real_only (octave_idx_type) const;
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402
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403 FloatComplexColumnVector row_min (void) const;
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404 FloatComplexColumnVector row_max (void) const;
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405
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406 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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407 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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408
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409 FloatComplexRowVector column_min (void) const;
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410 FloatComplexRowVector column_max (void) const;
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411
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412 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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413 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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414
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415 // i/o
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416
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417 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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418 const FloatComplexMatrix& a);
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419 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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420 FloatComplexMatrix& a);
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421 };
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422
8650
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423 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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424
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425 // column vector by row vector -> matrix operations
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426
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427 extern OCTAVE_API FloatComplexMatrix
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428 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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429
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430 extern OCTAVE_API FloatComplexMatrix
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431 operator * (const FloatComplexColumnVector& a, const FloatRowVector& 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 FloatComplexRowVector& b);
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435
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436 extern OCTAVE_API FloatComplexMatrix
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437 Givens (const FloatComplex&, const FloatComplex&);
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438
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439 extern OCTAVE_API FloatComplexMatrix
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440 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&,
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441 const FloatComplexMatrix&);
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442
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443 extern OCTAVE_API FloatComplexMatrix
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444 xgemm (const FloatComplexMatrix& a, const FloatComplexMatrix& b,
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445 blas_trans_type transa = blas_no_trans,
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446 blas_trans_type transb = blas_no_trans);
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447
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448 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&,
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449 const FloatComplexMatrix&);
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450 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
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451 const FloatMatrix&);
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452 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
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453 const FloatComplexMatrix&);
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454
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455 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c,
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456 const FloatComplexMatrix& m);
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457 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m,
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458 const FloatComplex& c);
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459 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a,
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460 const FloatComplexMatrix& b);
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461
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462 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c,
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463 const FloatComplexMatrix& m);
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464 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m,
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465 const FloatComplex& c);
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466 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a,
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467 const FloatComplexMatrix& b);
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468
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469 extern OCTAVE_API FloatComplexMatrix
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470 linspace (const FloatComplexColumnVector& x1,
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471 const FloatComplexColumnVector& x2,
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472 octave_idx_type n);
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473
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474 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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475 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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476
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477 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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478 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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479
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480 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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481 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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482
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483 MARRAY_FORWARD_DEFS (MArray, FloatComplexMatrix, FloatComplex)
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484
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485 #endif