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annotate liboctave/fCMatrix.h @ 12312:b10ea6efdc58 release-3-4-x ss-3-3-91

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version is now 3.3.91
author John W. Eaton <jwe@octave.org>
date Mon, 31 Jan 2011 08:36:58 -0500
parents 12df7854fa7c
children 72c96de7a403
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1 /*
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2
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3 Copyright (C) 1994-2011 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if !defined (octave_FloatComplexMatrix_h)
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24 #define octave_FloatComplexMatrix_h 1
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25
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26 #include "MArray.h"
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27 #include "MDiagArray2.h"
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28 #include "MatrixType.h"
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29
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30 #include "mx-defs.h"
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31 #include "mx-op-decl.h"
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32 #include "oct-cmplx.h"
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33 #include "DET.h"
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34
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35 class
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36 OCTAVE_API
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37 FloatComplexMatrix : public MArray<FloatComplex>
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38 {
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39 public:
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40
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41 typedef FloatComplexColumnVector column_vector_type;
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42 typedef FloatComplexRowVector row_vector_type;
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43
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44 typedef void (*solve_singularity_handler) (float rcon);
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45
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46 FloatComplexMatrix (void) : MArray<FloatComplex> () { }
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47
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48 FloatComplexMatrix (octave_idx_type r, octave_idx_type c)
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49 : MArray<FloatComplex> (dim_vector (r, c)) { }
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50
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51 FloatComplexMatrix (octave_idx_type r, octave_idx_type c,
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52 const FloatComplex& val)
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53 : MArray<FloatComplex> (dim_vector (r, c), val) { }
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54
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55 FloatComplexMatrix (const dim_vector& dv)
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56 : MArray<FloatComplex> (dv.redim (2)) { }
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57
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58 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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59 : MArray<FloatComplex> (dv.redim (2), val) { }
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60
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61 FloatComplexMatrix (const FloatComplexMatrix& a)
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62 : MArray<FloatComplex> (a) { }
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63
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64 template <class U>
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65 FloatComplexMatrix (const MArray<U>& a)
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66 : MArray<FloatComplex> (a.as_matrix ()) { }
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67
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68 template <class U>
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69 FloatComplexMatrix (const Array<U>& a)
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70 : MArray<FloatComplex> (a.as_matrix ()) { }
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71
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72 explicit FloatComplexMatrix (const FloatMatrix& a);
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73
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74 explicit FloatComplexMatrix (const FloatRowVector& rv);
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75
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76 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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77
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78 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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79
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80 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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81
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82 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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83
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84 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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85
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86 explicit FloatComplexMatrix (const boolMatrix& a);
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87
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88 explicit FloatComplexMatrix (const charMatrix& a);
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89
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90 FloatComplexMatrix (const FloatMatrix& re, const FloatMatrix& im);
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91
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92 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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93 {
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94 MArray<FloatComplex>::operator = (a);
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95 return *this;
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96 }
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97
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98 bool operator == (const FloatComplexMatrix& a) const;
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99 bool operator != (const FloatComplexMatrix& a) const;
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100
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101 bool is_hermitian (void) const;
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102
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103 // destructive insert/delete/reorder operations
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104
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105 FloatComplexMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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106 FloatComplexMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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107 FloatComplexMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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108 FloatComplexMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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109
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110 FloatComplexMatrix& insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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111 FloatComplexMatrix& insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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112 FloatComplexMatrix& insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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113 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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114
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115 FloatComplexMatrix& fill (float val);
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116 FloatComplexMatrix& fill (const FloatComplex& val);
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117 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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118 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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119
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120 FloatComplexMatrix append (const FloatMatrix& a) const;
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121 FloatComplexMatrix append (const FloatRowVector& a) const;
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122 FloatComplexMatrix append (const FloatColumnVector& a) const;
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123 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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124
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125 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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126 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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127 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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128 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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129
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130 FloatComplexMatrix stack (const FloatMatrix& a) const;
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131 FloatComplexMatrix stack (const FloatRowVector& a) const;
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132 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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133 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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134
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135 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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136 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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137 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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138 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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139
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140 FloatComplexMatrix hermitian (void) const
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141 { return MArray<FloatComplex>::hermitian (std::conj); }
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142 FloatComplexMatrix transpose (void) const
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143 { return MArray<FloatComplex>::transpose (); }
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144
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145 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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146
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147 // resize is the destructive equivalent for this one
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148
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149 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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150
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151 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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152
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153 // extract row or column i.
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154
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155 FloatComplexRowVector row (octave_idx_type i) const;
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156
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157 FloatComplexColumnVector column (octave_idx_type i) const;
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158
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159 void resize (octave_idx_type nr, octave_idx_type nc,
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160 const FloatComplex& rfv = resize_fill_value ())
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161 {
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162 MArray<FloatComplex>::resize (dim_vector (nr, nc), rfv);
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163 }
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164
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165 private:
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166 FloatComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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167 float& rcon, int force, int calc_cond) const;
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168
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169 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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170 float& rcon, int force, int calc_cond) const;
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171
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172 public:
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173 FloatComplexMatrix inverse (void) const;
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174 FloatComplexMatrix inverse (octave_idx_type& info) const;
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175 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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176 int calc_cond = 1) const;
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177
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178 FloatComplexMatrix inverse (MatrixType &mattype) const;
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179 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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180 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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181 float& rcon, int force = 0,
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182 int calc_cond = 1) const;
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183
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184 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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185
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186 FloatComplexMatrix fourier (void) const;
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187 FloatComplexMatrix ifourier (void) const;
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188
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189 FloatComplexMatrix fourier2d (void) const;
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190 FloatComplexMatrix ifourier2d (void) const;
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191
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192 FloatComplexDET determinant (void) const;
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193 FloatComplexDET determinant (octave_idx_type& info) const;
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194 FloatComplexDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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195 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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196 float& rcon, int calc_cond = 1) const;
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197
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198 float rcond (void) const;
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199 float rcond (MatrixType &mattype) const;
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200
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201 private:
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202 // Upper triangular matrix solvers
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203 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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204 octave_idx_type& info, float& rcon,
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205 solve_singularity_handler sing_handler,
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206 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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207
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208 // Lower triangular matrix solvers
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209 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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210 octave_idx_type& info, float& rcon,
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211 solve_singularity_handler sing_handler,
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212 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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213
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214 // Full matrix solvers (umfpack/cholesky)
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215 FloatComplexMatrix fsolve (MatrixType &typ, const FloatComplexMatrix& b,
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216 octave_idx_type& info, float& rcon,
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217 solve_singularity_handler sing_handler,
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218 bool calc_cond = false) const;
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219
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220 public:
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221 // Generic interface to solver with no probing of type
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222 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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223 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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224 octave_idx_type& info) const;
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225 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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226 octave_idx_type& info, float& rcon) const;
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227 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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228 float& rcon, 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 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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233 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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234 octave_idx_type& info) const;
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235 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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236 octave_idx_type& info, float& rcon) const;
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237 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& 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 bool singular_fallback = true,
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241 blas_trans_type transt = blas_no_trans) const;
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242
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243 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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244 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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245 octave_idx_type& info) const;
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246 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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247 octave_idx_type& info, float& rcon) const;
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248 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& 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 FloatComplexColumnVector solve (MatrixType &typ,
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254 const FloatComplexColumnVector& b) const;
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255 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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256 octave_idx_type& info) const;
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257 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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258 octave_idx_type& info, float& rcon) const;
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259 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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260 octave_idx_type& info, float& rcon,
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261 solve_singularity_handler sing_handler,
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262 blas_trans_type transt = blas_no_trans) const;
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263
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264 // Generic interface to solver with probing of type
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265 FloatComplexMatrix solve (const FloatMatrix& b) const;
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266 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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267 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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268 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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269 solve_singularity_handler sing_handler,
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270 blas_trans_type transt = blas_no_trans) const;
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271
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272 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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273 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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274 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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275 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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276 solve_singularity_handler sing_handler,
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277 blas_trans_type transt = blas_no_trans) const;
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278
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279 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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280 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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281 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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282 float& rcon) const;
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283 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
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284 solve_singularity_handler sing_handler,
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285 blas_trans_type transt = blas_no_trans) const;
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286
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287 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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288 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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289 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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290 float& rcon) const;
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291 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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292 float& rcon,
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293 solve_singularity_handler sing_handler,
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294 blas_trans_type transt = blas_no_trans) const;
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295
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296 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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297 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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298 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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299 octave_idx_type& rank) const;
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300 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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301 octave_idx_type& rank, float& rcon) const;
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302
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303 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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304 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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305 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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306 octave_idx_type& rank) const;
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307 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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308 octave_idx_type& rank, float& rcon) const;
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309
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310 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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311 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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312 octave_idx_type& info) const;
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313 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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314 octave_idx_type& rank) const;
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315 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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316 octave_idx_type& rank, float& rcon) const;
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317
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318 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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319 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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320 octave_idx_type& info) const;
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321 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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322 octave_idx_type& info,
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323 octave_idx_type& rank) const;
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324 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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325 octave_idx_type& info,
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326 octave_idx_type& rank, float& rcon) const;
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327
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328 // matrix by diagonal matrix -> matrix operations
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329
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330 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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331 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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332
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333 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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334 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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335
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336 // matrix by matrix -> matrix operations
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337
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338 FloatComplexMatrix& operator += (const FloatMatrix& a);
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339 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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340
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341 // unary operations
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342
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343 boolMatrix operator ! (void) const;
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344
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345 // other operations
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346
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347 bool any_element_is_nan (void) const;
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348 bool any_element_is_inf_or_nan (void) const;
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349 bool all_elements_are_real (void) const;
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350 bool all_integers (float& max_val, float& min_val) const;
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351 bool too_large_for_float (void) const;
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352
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353 boolMatrix all (int dim = -1) const;
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354 boolMatrix any (int dim = -1) const;
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355
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356 FloatComplexMatrix cumprod (int dim = -1) const;
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357 FloatComplexMatrix cumsum (int dim = -1) const;
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358 FloatComplexMatrix prod (int dim = -1) const;
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359 FloatComplexMatrix sum (int dim = -1) const;
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360 FloatComplexMatrix sumsq (int dim = -1) const;
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361 FloatMatrix abs (void) const;
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362
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363 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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364
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365 bool row_is_real_only (octave_idx_type) const;
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366 bool column_is_real_only (octave_idx_type) const;
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367
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368 FloatComplexColumnVector row_min (void) const;
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369 FloatComplexColumnVector row_max (void) const;
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370
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371 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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372 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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373
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374 FloatComplexRowVector column_min (void) const;
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375 FloatComplexRowVector column_max (void) const;
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376
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377 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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378 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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379
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380 // i/o
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381
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382 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatComplexMatrix& a);
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383 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatComplexMatrix& a);
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384
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385 static FloatComplex resize_fill_value (void) { return FloatComplex (0.0, 0.0); }
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386
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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 (const FloatComplexMatrix& a, const FloatComplexMatrix& b,
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410 blas_trans_type transa = blas_no_trans,
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411 blas_trans_type transb = blas_no_trans);
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412
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413 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&, const FloatComplexMatrix&);
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414 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatMatrix&);
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415 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatComplexMatrix&);
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416
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417 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c, const FloatComplexMatrix& m);
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418 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m, const FloatComplex& c);
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419 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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420
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421 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c, const FloatComplexMatrix& m);
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422 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m, const FloatComplex& c);
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423 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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424
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425 extern OCTAVE_API FloatComplexMatrix linspace (const FloatComplexColumnVector& x1,
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426 const FloatComplexColumnVector& x2,
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427 octave_idx_type n);
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428
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429 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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430 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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431
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432 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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433 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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434
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435 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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436 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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437
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438 MARRAY_FORWARD_DEFS (MArray, FloatComplexMatrix, FloatComplex)
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439
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440 #endif