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annotate liboctave/fCMatrix.h @ 9663:7e5b4de5fbfe

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improve mixed real x complex ops
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 23 Sep 2009 12:13:50 +0200
parents afcf852256d2
children 1dba57e9d08d
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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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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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46
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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 (const FloatMatrix& re, const FloatMatrix& im);
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86
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87 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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88 {
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89 MArray2<FloatComplex>::operator = (a);
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90 return *this;
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91 }
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92
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93 bool operator == (const FloatComplexMatrix& a) const;
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94 bool operator != (const FloatComplexMatrix& a) const;
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95
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96 bool is_hermitian (void) const;
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97
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98 // destructive insert/delete/reorder operations
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99
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100 FloatComplexMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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101 FloatComplexMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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102 FloatComplexMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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103 FloatComplexMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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104
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105 FloatComplexMatrix& insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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106 FloatComplexMatrix& insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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107 FloatComplexMatrix& insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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108 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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109
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110 FloatComplexMatrix& fill (float val);
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111 FloatComplexMatrix& fill (const FloatComplex& val);
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112 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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113 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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114
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115 FloatComplexMatrix append (const FloatMatrix& a) const;
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116 FloatComplexMatrix append (const FloatRowVector& a) const;
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117 FloatComplexMatrix append (const FloatColumnVector& a) const;
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118 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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119
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120 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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121 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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122 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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123 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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124
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125 FloatComplexMatrix stack (const FloatMatrix& a) const;
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126 FloatComplexMatrix stack (const FloatRowVector& a) const;
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127 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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128 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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129
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130 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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131 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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132 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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133 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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134
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135 FloatComplexMatrix hermitian (void) const
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136 { return MArray2<FloatComplex>::hermitian (std::conj); }
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137 FloatComplexMatrix transpose (void) const
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138 { return MArray2<FloatComplex>::transpose (); }
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139
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140 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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141
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142 // resize is the destructive equivalent for this one
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143
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144 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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145
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146 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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147
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148 // extract row or column i.
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149
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150 FloatComplexRowVector row (octave_idx_type i) const;
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151
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152 FloatComplexColumnVector column (octave_idx_type i) const;
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153
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154 private:
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155 FloatComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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156 float& rcon, int force, int calc_cond) const;
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157
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158 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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159 float& rcon, int force, int calc_cond) const;
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160
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161 public:
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162 FloatComplexMatrix inverse (void) const;
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163 FloatComplexMatrix inverse (octave_idx_type& info) const;
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164 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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165 int calc_cond = 1) const;
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166
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167 FloatComplexMatrix inverse (MatrixType &mattype) const;
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168 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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169 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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170 float& rcon, int force = 0,
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171 int calc_cond = 1) const;
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172
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173 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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174
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175 FloatComplexMatrix fourier (void) const;
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176 FloatComplexMatrix ifourier (void) const;
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177
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178 FloatComplexMatrix fourier2d (void) const;
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179 FloatComplexMatrix ifourier2d (void) const;
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180
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181 FloatComplexDET determinant (void) const;
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182 FloatComplexDET determinant (octave_idx_type& info) const;
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183 FloatComplexDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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184 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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185 float& rcon, int calc_cond = 1) const;
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186
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187 float rcond (void) const;
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188 float rcond (MatrixType &mattype) const;
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189
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190 private:
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191 // Upper triangular matrix solvers
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192 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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193 octave_idx_type& info, float& rcon,
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194 solve_singularity_handler sing_handler,
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195 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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196
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197 // Lower triangular matrix solvers
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198 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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199 octave_idx_type& info, float& rcon,
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200 solve_singularity_handler sing_handler,
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201 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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202
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203 // Full matrix solvers (umfpack/cholesky)
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204 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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205 octave_idx_type& info, float& rcon,
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206 solve_singularity_handler sing_handler,
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207 bool calc_cond = false) const;
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208
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209 public:
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210 // Generic interface to solver with no probing of type
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211 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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212 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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213 octave_idx_type& info) const;
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214 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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215 octave_idx_type& info, float& rcon) const;
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216 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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217 float& rcon, solve_singularity_handler sing_handler,
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218 bool singular_fallback = true,
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219 blas_trans_type transt = blas_no_trans) const;
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220
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221 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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222 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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223 octave_idx_type& info) const;
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224 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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225 octave_idx_type& info, float& rcon) const;
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226 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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227 octave_idx_type& info, float& rcon,
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228 solve_singularity_handler sing_handler,
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229 bool singular_fallback = true,
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230 blas_trans_type transt = blas_no_trans) const;
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231
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232 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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233 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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234 octave_idx_type& info) const;
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235 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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236 octave_idx_type& info, float& rcon) const;
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237 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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238 octave_idx_type& info, float& rcon,
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239 solve_singularity_handler sing_handler,
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240 blas_trans_type transt = blas_no_trans) const;
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241
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242 FloatComplexColumnVector solve (MatrixType &typ,
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243 const FloatComplexColumnVector& b) const;
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244 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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245 octave_idx_type& info) const;
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246 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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247 octave_idx_type& info, float& rcon) const;
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248 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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249 octave_idx_type& info, float& rcon,
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250 solve_singularity_handler sing_handler,
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251 blas_trans_type transt = blas_no_trans) const;
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252
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253 // Generic interface to solver with probing of type
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254 FloatComplexMatrix solve (const FloatMatrix& b) const;
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255 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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256 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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257 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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258 solve_singularity_handler sing_handler,
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259 blas_trans_type transt = blas_no_trans) const;
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260
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261 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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262 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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263 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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264 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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265 solve_singularity_handler sing_handler,
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266 blas_trans_type transt = blas_no_trans) const;
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267
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268 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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269 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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270 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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271 float& rcon) const;
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272 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
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273 solve_singularity_handler sing_handler,
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274 blas_trans_type transt = blas_no_trans) const;
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275
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276 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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277 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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278 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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279 float& rcon) const;
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280 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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281 float& rcon,
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282 solve_singularity_handler sing_handler,
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283 blas_trans_type transt = blas_no_trans) const;
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284
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285 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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286 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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287 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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288 octave_idx_type& rank) const;
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289 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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290 octave_idx_type& rank, float& rcon) const;
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291
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292 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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293 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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294 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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295 octave_idx_type& rank) const;
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296 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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297 octave_idx_type& rank, float& rcon) const;
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298
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299 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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300 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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301 octave_idx_type& info) const;
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302 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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303 octave_idx_type& rank) const;
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304 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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305 octave_idx_type& rank, float& rcon) const;
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306
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307 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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308 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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309 octave_idx_type& info) const;
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310 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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311 octave_idx_type& info,
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312 octave_idx_type& rank) const;
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313 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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314 octave_idx_type& info,
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315 octave_idx_type& rank, float& rcon) const;
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316
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317 // matrix by diagonal matrix -> matrix operations
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318
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319 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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320 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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321
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322 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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323 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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324
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325 // matrix by matrix -> matrix operations
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326
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327 FloatComplexMatrix& operator += (const FloatMatrix& a);
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328 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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329
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330 // unary operations
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331
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332 boolMatrix operator ! (void) const;
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333
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334 // other operations
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335
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336 typedef float (*dmapper) (const FloatComplex&);
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337 typedef FloatComplex (*cmapper) (const FloatComplex&);
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338 typedef bool (*bmapper) (const FloatComplex&);
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339
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340 FloatMatrix map (dmapper fcn) const;
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341 FloatComplexMatrix map (cmapper fcn) const;
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342 boolMatrix map (bmapper fcn) const;
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343
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344 bool any_element_is_nan (void) const;
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345 bool any_element_is_inf_or_nan (void) const;
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346 bool all_elements_are_real (void) const;
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347 bool all_integers (float& max_val, float& min_val) const;
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348 bool too_large_for_float (void) const;
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349
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350 boolMatrix all (int dim = -1) const;
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351 boolMatrix any (int dim = -1) const;
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352
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353 FloatComplexMatrix cumprod (int dim = -1) const;
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354 FloatComplexMatrix cumsum (int dim = -1) const;
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355 FloatComplexMatrix prod (int dim = -1) const;
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356 FloatComplexMatrix sum (int dim = -1) const;
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357 FloatComplexMatrix sumsq (int dim = -1) const;
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358 FloatMatrix abs (void) const;
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359
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360 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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361
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362 bool row_is_real_only (octave_idx_type) const;
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363 bool column_is_real_only (octave_idx_type) const;
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364
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365 FloatComplexColumnVector row_min (void) const;
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366 FloatComplexColumnVector row_max (void) const;
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367
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368 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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369 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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370
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371 FloatComplexRowVector column_min (void) const;
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372 FloatComplexRowVector column_max (void) const;
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373
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374 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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375 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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376
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377 // i/o
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378
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379 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatComplexMatrix& a);
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380 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatComplexMatrix& a);
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381
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382 static FloatComplex resize_fill_value (void) { return FloatComplex (0.0, 0.0); }
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383
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384 private:
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385
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386 FloatComplexMatrix (FloatComplex *d, octave_idx_type r, octave_idx_type c) : MArray2<FloatComplex> (d, r, c) { }
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387 };
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388
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389 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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390
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391 // column vector by row vector -> matrix operations
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392
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393 extern OCTAVE_API FloatComplexMatrix
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394 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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395
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396 extern OCTAVE_API FloatComplexMatrix
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397 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
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398
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399 extern OCTAVE_API FloatComplexMatrix
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400 operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
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401
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402 extern OCTAVE_API FloatComplexMatrix
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403 Givens (const FloatComplex&, const FloatComplex&);
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404
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405 extern OCTAVE_API FloatComplexMatrix
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406 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&, const FloatComplexMatrix&);
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407
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408 extern OCTAVE_API FloatComplexMatrix
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409 xgemm (bool transa, bool conja, const FloatComplexMatrix& a,
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410 bool transb, bool conjb, const FloatComplexMatrix& b);
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411
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412 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&, const FloatComplexMatrix&);
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413 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatMatrix&);
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414 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatComplexMatrix&);
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415
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416 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c, const FloatComplexMatrix& m);
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417 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m, const FloatComplex& c);
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418 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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419
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420 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c, const FloatComplexMatrix& m);
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421 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m, const FloatComplex& c);
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422 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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423
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424 extern OCTAVE_API FloatComplexMatrix linspace (const FloatComplexColumnVector& x1,
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425 const FloatComplexColumnVector& x2,
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426 octave_idx_type n);
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427
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428 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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429 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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430
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431 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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432 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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433
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434 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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435 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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436
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437 MARRAY_FORWARD_DEFS (MArray2, FloatComplexMatrix, FloatComplex)
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438
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439 #endif
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440
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441 /*
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442 ;;; Local Variables: ***
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443 ;;; mode: C++ ***
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444 ;;; End: ***
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445 */