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annotate liboctave/fCMatrix.h @ 9661:afcf852256d2

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optimize / and '\ for triangular matrices
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 23 Sep 2009 10:00:16 +0200
parents b29504415a2e
children 7e5b4de5fbfe
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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 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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47 FloatComplexMatrix (void) : MArray2<FloatComplex> () { }
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48
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49 FloatComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<FloatComplex> (r, c) { }
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50
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51 FloatComplexMatrix (octave_idx_type r, octave_idx_type c, const FloatComplex& val)
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52 : MArray2<FloatComplex> (r, c, val) { }
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53
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54 FloatComplexMatrix (const dim_vector& dv) : MArray2<FloatComplex> (dv) { }
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55
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56 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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57 : MArray2<FloatComplex> (dv, val) { }
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58
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59 FloatComplexMatrix (const FloatComplexMatrix& a) : MArray2<FloatComplex> (a) { }
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60
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61 template <class U>
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62 FloatComplexMatrix (const MArray2<U>& a) : MArray2<FloatComplex> (a) { }
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63
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64 template <class U>
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65 FloatComplexMatrix (const Array2<U>& a) : MArray2<FloatComplex> (a) { }
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66
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67 explicit FloatComplexMatrix (const FloatMatrix& a);
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68
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69 explicit FloatComplexMatrix (const FloatRowVector& rv);
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70
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71 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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72
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73 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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74
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75 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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76
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77 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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78
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79 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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80
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81 explicit FloatComplexMatrix (const boolMatrix& a);
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82
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83 explicit FloatComplexMatrix (const charMatrix& a);
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84
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85 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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86 {
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87 MArray2<FloatComplex>::operator = (a);
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88 return *this;
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89 }
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90
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91 bool operator == (const FloatComplexMatrix& a) const;
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92 bool operator != (const FloatComplexMatrix& a) const;
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93
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94 bool is_hermitian (void) const;
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95
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96 // destructive insert/delete/reorder operations
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97
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98 FloatComplexMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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99 FloatComplexMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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100 FloatComplexMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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101 FloatComplexMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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102
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103 FloatComplexMatrix& insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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104 FloatComplexMatrix& insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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105 FloatComplexMatrix& insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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106 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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107
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108 FloatComplexMatrix& fill (float val);
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109 FloatComplexMatrix& fill (const FloatComplex& val);
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110 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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111 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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112
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113 FloatComplexMatrix append (const FloatMatrix& a) const;
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114 FloatComplexMatrix append (const FloatRowVector& a) const;
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115 FloatComplexMatrix append (const FloatColumnVector& a) const;
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116 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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117
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118 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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119 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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120 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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121 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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122
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123 FloatComplexMatrix stack (const FloatMatrix& a) const;
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124 FloatComplexMatrix stack (const FloatRowVector& a) const;
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125 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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126 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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127
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128 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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129 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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130 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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131 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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132
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133 FloatComplexMatrix hermitian (void) const
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134 { return MArray2<FloatComplex>::hermitian (std::conj); }
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135 FloatComplexMatrix transpose (void) const
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136 { return MArray2<FloatComplex>::transpose (); }
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137
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138 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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139
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140 // resize is the destructive equivalent for this one
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141
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142 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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143
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144 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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145
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146 // extract row or column i.
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147
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148 FloatComplexRowVector row (octave_idx_type i) const;
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149
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150 FloatComplexColumnVector column (octave_idx_type i) const;
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151
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152 private:
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153 FloatComplexMatrix tinverse (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 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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157 float& rcon, int force, int calc_cond) const;
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158
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159 public:
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160 FloatComplexMatrix inverse (void) const;
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161 FloatComplexMatrix inverse (octave_idx_type& info) const;
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162 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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163 int calc_cond = 1) const;
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164
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165 FloatComplexMatrix inverse (MatrixType &mattype) const;
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166 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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167 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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168 float& rcon, int force = 0,
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169 int calc_cond = 1) const;
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170
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171 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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172
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173 FloatComplexMatrix fourier (void) const;
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174 FloatComplexMatrix ifourier (void) const;
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175
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176 FloatComplexMatrix fourier2d (void) const;
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177 FloatComplexMatrix ifourier2d (void) const;
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178
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179 FloatComplexDET determinant (void) const;
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180 FloatComplexDET determinant (octave_idx_type& info) const;
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181 FloatComplexDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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182 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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183 float& rcon, int calc_cond = 1) const;
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184
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185 float rcond (void) const;
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186 float rcond (MatrixType &mattype) const;
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187
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188 private:
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189 // Upper triangular matrix solvers
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190 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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191 octave_idx_type& info, float& rcon,
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192 solve_singularity_handler sing_handler,
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193 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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194
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195 // Lower triangular matrix solvers
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196 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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197 octave_idx_type& info, float& rcon,
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198 solve_singularity_handler sing_handler,
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199 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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200
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201 // Full matrix solvers (umfpack/cholesky)
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202 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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203 octave_idx_type& info, float& rcon,
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204 solve_singularity_handler sing_handler,
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205 bool calc_cond = false) const;
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206
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207 public:
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208 // Generic interface to solver with no probing of type
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209 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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210 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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211 octave_idx_type& info) const;
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212 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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213 octave_idx_type& info, float& rcon) const;
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214 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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215 float& rcon, solve_singularity_handler sing_handler,
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216 bool singular_fallback = true,
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217 blas_trans_type transt = blas_no_trans) const;
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218
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219 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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220 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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221 octave_idx_type& info) const;
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222 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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223 octave_idx_type& info, float& rcon) const;
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224 FloatComplexMatrix solve (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 singular_fallback = true,
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228 blas_trans_type transt = blas_no_trans) const;
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229
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230 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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231 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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232 octave_idx_type& info) const;
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233 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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234 octave_idx_type& info, float& rcon) const;
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235 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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236 octave_idx_type& info, float& rcon,
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237 solve_singularity_handler sing_handler,
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238 blas_trans_type transt = blas_no_trans) const;
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239
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240 FloatComplexColumnVector solve (MatrixType &typ,
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241 const FloatComplexColumnVector& b) const;
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242 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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243 octave_idx_type& info) const;
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244 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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245 octave_idx_type& info, float& rcon) const;
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246 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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247 octave_idx_type& info, float& rcon,
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248 solve_singularity_handler sing_handler,
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249 blas_trans_type transt = blas_no_trans) const;
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250
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251 // Generic interface to solver with probing of type
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252 FloatComplexMatrix solve (const FloatMatrix& b) const;
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253 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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254 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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255 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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256 solve_singularity_handler sing_handler,
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257 blas_trans_type transt = blas_no_trans) const;
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258
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259 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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260 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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261 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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262 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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263 solve_singularity_handler sing_handler,
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264 blas_trans_type transt = blas_no_trans) const;
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265
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266 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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267 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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268 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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269 float& rcon) const;
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270 FloatComplexColumnVector solve (const FloatColumnVector& b, 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 (const FloatComplexColumnVector& b) const;
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275 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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276 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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277 float& rcon) const;
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278 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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279 float& rcon,
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280 solve_singularity_handler sing_handler,
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281 blas_trans_type transt = blas_no_trans) const;
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282
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283 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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284 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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285 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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286 octave_idx_type& rank) const;
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287 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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288 octave_idx_type& rank, float& rcon) const;
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289
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290 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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291 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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292 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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293 octave_idx_type& rank) const;
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294 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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295 octave_idx_type& rank, float& rcon) const;
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296
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297 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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298 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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299 octave_idx_type& info) const;
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300 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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301 octave_idx_type& rank) const;
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302 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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303 octave_idx_type& rank, float& rcon) const;
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304
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305 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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306 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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307 octave_idx_type& info) const;
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308 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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309 octave_idx_type& info,
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310 octave_idx_type& rank) const;
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311 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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312 octave_idx_type& info,
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313 octave_idx_type& rank, float& rcon) const;
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314
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315 // matrix by diagonal matrix -> matrix operations
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316
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317 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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318 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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319
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320 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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321 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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322
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323 // matrix by matrix -> matrix operations
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324
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325 FloatComplexMatrix& operator += (const FloatMatrix& a);
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326 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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327
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328 // unary operations
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329
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330 boolMatrix operator ! (void) const;
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331
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332 // other operations
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333
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334 typedef float (*dmapper) (const FloatComplex&);
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335 typedef FloatComplex (*cmapper) (const FloatComplex&);
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336 typedef bool (*bmapper) (const FloatComplex&);
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337
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338 FloatMatrix map (dmapper fcn) const;
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339 FloatComplexMatrix map (cmapper fcn) const;
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340 boolMatrix map (bmapper fcn) const;
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341
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342 bool any_element_is_nan (void) const;
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343 bool any_element_is_inf_or_nan (void) const;
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344 bool all_elements_are_real (void) const;
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345 bool all_integers (float& max_val, float& min_val) const;
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346 bool too_large_for_float (void) const;
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347
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348 boolMatrix all (int dim = -1) const;
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349 boolMatrix any (int dim = -1) const;
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350
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351 FloatComplexMatrix cumprod (int dim = -1) const;
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352 FloatComplexMatrix cumsum (int dim = -1) const;
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353 FloatComplexMatrix prod (int dim = -1) const;
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354 FloatComplexMatrix sum (int dim = -1) const;
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355 FloatComplexMatrix sumsq (int dim = -1) const;
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356 FloatMatrix abs (void) const;
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357
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358 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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359
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360 bool row_is_real_only (octave_idx_type) const;
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361 bool column_is_real_only (octave_idx_type) const;
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362
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363 FloatComplexColumnVector row_min (void) const;
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364 FloatComplexColumnVector row_max (void) const;
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365
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366 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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367 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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368
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369 FloatComplexRowVector column_min (void) const;
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370 FloatComplexRowVector column_max (void) const;
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371
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372 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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373 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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374
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375 // i/o
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376
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377 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatComplexMatrix& a);
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378 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatComplexMatrix& a);
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379
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380 static FloatComplex resize_fill_value (void) { return FloatComplex (0.0, 0.0); }
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381
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382 private:
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383
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384 FloatComplexMatrix (FloatComplex *d, octave_idx_type r, octave_idx_type c) : MArray2<FloatComplex> (d, r, c) { }
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385 };
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386
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387 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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388
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389 // column vector by row vector -> matrix operations
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390
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391 extern OCTAVE_API FloatComplexMatrix
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392 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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393
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394 extern OCTAVE_API FloatComplexMatrix
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395 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
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396
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397 extern OCTAVE_API FloatComplexMatrix
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398 operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
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399
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400 extern OCTAVE_API FloatComplexMatrix
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401 Givens (const FloatComplex&, const FloatComplex&);
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402
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403 extern OCTAVE_API FloatComplexMatrix
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404 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&, const FloatComplexMatrix&);
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405
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406 extern OCTAVE_API FloatComplexMatrix
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407 xgemm (bool transa, bool conja, const FloatComplexMatrix& a,
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408 bool transb, bool conjb, const FloatComplexMatrix& b);
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409
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410 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&, const FloatComplexMatrix&);
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411 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatMatrix&);
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412 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatComplexMatrix&);
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413
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414 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c, const FloatComplexMatrix& m);
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415 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m, const FloatComplex& c);
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416 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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417
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418 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c, const FloatComplexMatrix& m);
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419 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m, const FloatComplex& c);
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420 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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421
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422 extern OCTAVE_API FloatComplexMatrix linspace (const FloatComplexColumnVector& x1,
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423 const FloatComplexColumnVector& x2,
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424 octave_idx_type n);
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425
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426 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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427 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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428
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429 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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430 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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431
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432 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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433 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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434
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435 MARRAY_FORWARD_DEFS (MArray2, FloatComplexMatrix, FloatComplex)
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436
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437 #endif
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438
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439 /*
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440 ;;; Local Variables: ***
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441 ;;; mode: C++ ***
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442 ;;; End: ***
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443 */