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annotate liboctave/fCMatrix.h @ 9653:e087d7c77ff9

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improve linspace in liboctave
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 18 Sep 2009 15:27:09 +0200
parents 3c1762c7e787
children b29504415a2e
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2003,
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John W. Eaton <jwe@octave.org>
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4 2004, 2005, 2006, 2007, 2008, 2009 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #if !defined (octave_FloatComplexMatrix_h)
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25 #define octave_FloatComplexMatrix_h 1
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26
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27 #include "MArray2.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 MArray2<FloatComplex>
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39 {
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40 public:
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41
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42 typedef void (*solve_singularity_handler) (float rcon);
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43
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44 FloatComplexMatrix (void) : MArray2<FloatComplex> () { }
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45
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46 FloatComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<FloatComplex> (r, c) { }
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47
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48 FloatComplexMatrix (octave_idx_type r, octave_idx_type c, const FloatComplex& val)
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49 : MArray2<FloatComplex> (r, c, val) { }
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50
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51 FloatComplexMatrix (const dim_vector& dv) : MArray2<FloatComplex> (dv) { }
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52
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53 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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54 : MArray2<FloatComplex> (dv, val) { }
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55
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56 FloatComplexMatrix (const FloatComplexMatrix& a) : MArray2<FloatComplex> (a) { }
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57
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58 template <class U>
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59 FloatComplexMatrix (const MArray2<U>& a) : MArray2<FloatComplex> (a) { }
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60
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61 template <class U>
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62 FloatComplexMatrix (const Array2<U>& a) : MArray2<FloatComplex> (a) { }
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63
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64 explicit FloatComplexMatrix (const FloatMatrix& a);
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65
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66 explicit FloatComplexMatrix (const FloatRowVector& rv);
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67
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68 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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69
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70 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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71
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72 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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73
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74 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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75
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76 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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77
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78 explicit FloatComplexMatrix (const boolMatrix& a);
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79
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80 explicit FloatComplexMatrix (const charMatrix& a);
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81
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82 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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83 {
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84 MArray2<FloatComplex>::operator = (a);
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85 return *this;
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86 }
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87
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88 bool operator == (const FloatComplexMatrix& a) const;
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89 bool operator != (const FloatComplexMatrix& a) const;
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90
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91 bool is_hermitian (void) const;
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92
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93 // destructive insert/delete/reorder operations
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94
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95 FloatComplexMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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96 FloatComplexMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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97 FloatComplexMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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98 FloatComplexMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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99
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100 FloatComplexMatrix& insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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101 FloatComplexMatrix& insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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102 FloatComplexMatrix& insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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103 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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104
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105 FloatComplexMatrix& fill (float val);
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106 FloatComplexMatrix& fill (const FloatComplex& val);
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107 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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108 FloatComplexMatrix& fill (const FloatComplex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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109
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110 FloatComplexMatrix append (const FloatMatrix& a) const;
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111 FloatComplexMatrix append (const FloatRowVector& a) const;
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112 FloatComplexMatrix append (const FloatColumnVector& a) const;
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113 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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114
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115 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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116 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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117 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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118 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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119
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120 FloatComplexMatrix stack (const FloatMatrix& a) const;
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121 FloatComplexMatrix stack (const FloatRowVector& a) const;
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122 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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123 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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124
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125 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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126 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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127 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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128 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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129
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130 FloatComplexMatrix hermitian (void) const
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131 { return MArray2<FloatComplex>::hermitian (std::conj); }
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132 FloatComplexMatrix transpose (void) const
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133 { return MArray2<FloatComplex>::transpose (); }
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134
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135 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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136
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137 // resize is the destructive equivalent for this one
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138
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139 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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140
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141 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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142
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143 // extract row or column i.
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144
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145 FloatComplexRowVector row (octave_idx_type i) const;
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146
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147 FloatComplexColumnVector column (octave_idx_type i) const;
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148
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149 private:
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150 FloatComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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151 float& rcon, int force, int calc_cond) const;
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152
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153 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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154 float& rcon, int force, int calc_cond) const;
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155
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156 public:
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157 FloatComplexMatrix inverse (void) const;
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158 FloatComplexMatrix inverse (octave_idx_type& info) const;
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159 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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160 int calc_cond = 1) const;
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161
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162 FloatComplexMatrix inverse (MatrixType &mattype) const;
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163 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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164 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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165 float& rcon, int force = 0,
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166 int calc_cond = 1) const;
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167
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168 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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169
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170 FloatComplexMatrix fourier (void) const;
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171 FloatComplexMatrix ifourier (void) const;
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172
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173 FloatComplexMatrix fourier2d (void) const;
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174 FloatComplexMatrix ifourier2d (void) const;
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175
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176 FloatComplexDET determinant (void) const;
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177 FloatComplexDET determinant (octave_idx_type& info) const;
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178 FloatComplexDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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179 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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180 float& rcon, int calc_cond = 1) const;
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181
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182 float rcond (void) const;
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183 float rcond (MatrixType &mattype) const;
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184
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185 private:
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186 // Upper triangular matrix solvers
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187 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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188 octave_idx_type& info, float& rcon,
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189 solve_singularity_handler sing_handler,
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190 bool calc_cond = false) const;
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191
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192 // Lower triangular matrix solvers
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193 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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194 octave_idx_type& info, float& rcon,
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195 solve_singularity_handler sing_handler,
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196 bool calc_cond = false) const;
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197
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198 // Full matrix solvers (umfpack/cholesky)
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199 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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200 octave_idx_type& info, float& rcon,
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201 solve_singularity_handler sing_handler,
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202 bool calc_cond = false) const;
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203
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204 public:
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205 // Generic interface to solver with no probing of type
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206 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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207 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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208 octave_idx_type& info) const;
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209 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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210 octave_idx_type& info, float& rcon) const;
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211 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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212 float& rcon, solve_singularity_handler sing_handler,
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213 bool singular_fallback = true) const;
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214
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215 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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216 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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217 octave_idx_type& info) const;
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218 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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219 octave_idx_type& info, float& rcon) const;
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220 FloatComplexMatrix solve (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 singular_fallback = true) const;
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224
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225 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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226 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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227 octave_idx_type& info) const;
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228 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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229 octave_idx_type& info, float& rcon) const;
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230 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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231 octave_idx_type& info, float& rcon,
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232 solve_singularity_handler sing_handler) const;
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233
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234 FloatComplexColumnVector solve (MatrixType &typ,
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235 const FloatComplexColumnVector& b) const;
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236 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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237 octave_idx_type& info) const;
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238 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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239 octave_idx_type& info, float& rcon) const;
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240 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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241 octave_idx_type& info, float& rcon,
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242 solve_singularity_handler sing_handler) const;
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243
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244 // Generic interface to solver with probing of type
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245 FloatComplexMatrix solve (const FloatMatrix& b) const;
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246 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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247 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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248 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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249 solve_singularity_handler sing_handler) const;
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250
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251 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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252 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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253 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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254 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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255 solve_singularity_handler sing_handler) const;
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256
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257 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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258 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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259 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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260 float& rcon) const;
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261 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
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262 solve_singularity_handler sing_handler) const;
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263
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264 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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265 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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266 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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267 float& rcon) const;
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268 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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269 float& rcon,
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270 solve_singularity_handler sing_handler) const;
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271
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272 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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273 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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274 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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275 octave_idx_type& rank) const;
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276 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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277 octave_idx_type& rank, float& rcon) const;
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278
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279 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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280 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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281 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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282 octave_idx_type& rank) const;
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283 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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284 octave_idx_type& rank, float& rcon) const;
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285
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286 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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287 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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288 octave_idx_type& info) const;
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289 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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290 octave_idx_type& rank) const;
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291 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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292 octave_idx_type& rank, float& rcon) const;
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293
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294 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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295 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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296 octave_idx_type& info) const;
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297 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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298 octave_idx_type& info,
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299 octave_idx_type& rank) const;
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300 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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301 octave_idx_type& info,
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302 octave_idx_type& rank, float& rcon) const;
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303
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304 // matrix by diagonal matrix -> matrix operations
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305
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306 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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307 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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308
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309 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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310 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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311
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312 // matrix by matrix -> matrix operations
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313
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314 FloatComplexMatrix& operator += (const FloatMatrix& a);
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315 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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316
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317 // unary operations
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318
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319 boolMatrix operator ! (void) const;
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320
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321 // other operations
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322
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323 typedef float (*dmapper) (const FloatComplex&);
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324 typedef FloatComplex (*cmapper) (const FloatComplex&);
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325 typedef bool (*bmapper) (const FloatComplex&);
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326
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327 FloatMatrix map (dmapper fcn) const;
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328 FloatComplexMatrix map (cmapper fcn) const;
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329 boolMatrix map (bmapper fcn) const;
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330
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331 bool any_element_is_nan (void) const;
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332 bool any_element_is_inf_or_nan (void) const;
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333 bool all_elements_are_real (void) const;
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334 bool all_integers (float& max_val, float& min_val) const;
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335 bool too_large_for_float (void) const;
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336
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337 boolMatrix all (int dim = -1) const;
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338 boolMatrix any (int dim = -1) const;
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339
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340 FloatComplexMatrix cumprod (int dim = -1) const;
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341 FloatComplexMatrix cumsum (int dim = -1) const;
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342 FloatComplexMatrix prod (int dim = -1) const;
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343 FloatComplexMatrix sum (int dim = -1) const;
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344 FloatComplexMatrix sumsq (int dim = -1) const;
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345 FloatMatrix abs (void) const;
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346
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347 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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348
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349 bool row_is_real_only (octave_idx_type) const;
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350 bool column_is_real_only (octave_idx_type) const;
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351
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352 FloatComplexColumnVector row_min (void) const;
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353 FloatComplexColumnVector row_max (void) const;
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354
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355 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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356 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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357
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358 FloatComplexRowVector column_min (void) const;
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359 FloatComplexRowVector column_max (void) const;
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360
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361 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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362 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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363
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364 // i/o
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365
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366 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatComplexMatrix& a);
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367 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatComplexMatrix& a);
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368
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369 static FloatComplex resize_fill_value (void) { return FloatComplex (0.0, 0.0); }
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370
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371 private:
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372
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373 FloatComplexMatrix (FloatComplex *d, octave_idx_type r, octave_idx_type c) : MArray2<FloatComplex> (d, r, c) { }
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374 };
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375
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376 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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377
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378 // column vector by row vector -> matrix operations
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379
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380 extern OCTAVE_API FloatComplexMatrix
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381 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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382
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383 extern OCTAVE_API FloatComplexMatrix
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384 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
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385
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386 extern OCTAVE_API FloatComplexMatrix
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387 operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
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388
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389 extern OCTAVE_API FloatComplexMatrix
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390 Givens (const FloatComplex&, const FloatComplex&);
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391
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392 extern OCTAVE_API FloatComplexMatrix
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393 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&, const FloatComplexMatrix&);
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394
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395 extern OCTAVE_API FloatComplexMatrix
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396 xgemm (bool transa, bool conja, const FloatComplexMatrix& a,
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397 bool transb, bool conjb, const FloatComplexMatrix& b);
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398
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399 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&, const FloatComplexMatrix&);
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400 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatMatrix&);
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401 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatComplexMatrix&);
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402
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403 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c, const FloatComplexMatrix& m);
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404 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m, const FloatComplex& c);
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405 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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406
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407 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c, const FloatComplexMatrix& m);
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408 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m, const FloatComplex& c);
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409 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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410
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411 extern OCTAVE_API FloatComplexMatrix linspace (const FloatComplexColumnVector& x1,
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412 const FloatComplexColumnVector& x2,
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413 octave_idx_type n);
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414
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415 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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416 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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417
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418 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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419 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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420
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421 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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422 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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423
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424 MARRAY_FORWARD_DEFS (MArray2, FloatComplexMatrix, FloatComplex)
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425
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426 #endif
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427
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428 /*
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429 ;;; Local Variables: ***
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430 ;;; mode: C++ ***
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431 ;;; End: ***
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432 */