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annotate liboctave/fCMatrix.h @ 11523:fd0a3ac60b0e

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update copyright notices
author John W. Eaton <jwe@octave.org>
date Fri, 14 Jan 2011 05:47:45 -0500
parents 96ed7c629bbd
children 57632dea2446
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1 /*
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2
11523
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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) : MArray<FloatComplex> (r, c) { }
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49
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50 FloatComplexMatrix (octave_idx_type r, octave_idx_type c, const FloatComplex& val)
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51 : MArray<FloatComplex> (r, c, val) { }
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52
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53 FloatComplexMatrix (const dim_vector& dv) : MArray<FloatComplex> (dv.redim (2)) { }
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54
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55 FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
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56 : MArray<FloatComplex> (dv.redim (2), val) { }
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57
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58 FloatComplexMatrix (const FloatComplexMatrix& a) : MArray<FloatComplex> (a) { }
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59
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60 template <class U>
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61 FloatComplexMatrix (const MArray<U>& a) : MArray<FloatComplex> (a.as_matrix ()) { }
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62
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63 template <class U>
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64 FloatComplexMatrix (const Array<U>& a) : MArray<FloatComplex> (a.as_matrix ()) { }
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65
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66 explicit FloatComplexMatrix (const FloatMatrix& a);
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67
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68 explicit FloatComplexMatrix (const FloatRowVector& rv);
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69
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70 explicit FloatComplexMatrix (const FloatColumnVector& cv);
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71
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72 explicit FloatComplexMatrix (const FloatDiagMatrix& a);
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73
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74 explicit FloatComplexMatrix (const FloatComplexRowVector& rv);
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75
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76 explicit FloatComplexMatrix (const FloatComplexColumnVector& cv);
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77
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78 explicit FloatComplexMatrix (const FloatComplexDiagMatrix& a);
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79
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80 explicit FloatComplexMatrix (const boolMatrix& a);
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81
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82 explicit FloatComplexMatrix (const charMatrix& a);
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83
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84 FloatComplexMatrix (const FloatMatrix& re, const FloatMatrix& im);
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85
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86 FloatComplexMatrix& operator = (const FloatComplexMatrix& a)
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87 {
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88 MArray<FloatComplex>::operator = (a);
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89 return *this;
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90 }
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91
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92 bool operator == (const FloatComplexMatrix& a) const;
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93 bool operator != (const FloatComplexMatrix& a) const;
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94
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95 bool is_hermitian (void) const;
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96
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97 // destructive insert/delete/reorder operations
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98
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99 FloatComplexMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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100 FloatComplexMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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101 FloatComplexMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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102 FloatComplexMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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103
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104 FloatComplexMatrix& insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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105 FloatComplexMatrix& insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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106 FloatComplexMatrix& insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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107 FloatComplexMatrix& insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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108
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109 FloatComplexMatrix& fill (float val);
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110 FloatComplexMatrix& fill (const FloatComplex& val);
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111 FloatComplexMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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112 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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113
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114 FloatComplexMatrix append (const FloatMatrix& a) const;
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115 FloatComplexMatrix append (const FloatRowVector& a) const;
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116 FloatComplexMatrix append (const FloatColumnVector& a) const;
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117 FloatComplexMatrix append (const FloatDiagMatrix& a) const;
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118
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119 FloatComplexMatrix append (const FloatComplexMatrix& a) const;
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120 FloatComplexMatrix append (const FloatComplexRowVector& a) const;
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121 FloatComplexMatrix append (const FloatComplexColumnVector& a) const;
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122 FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
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123
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124 FloatComplexMatrix stack (const FloatMatrix& a) const;
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125 FloatComplexMatrix stack (const FloatRowVector& a) const;
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126 FloatComplexMatrix stack (const FloatColumnVector& a) const;
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127 FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
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128
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129 FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
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130 FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
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131 FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
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132 FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
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133
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134 FloatComplexMatrix hermitian (void) const
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135 { return MArray<FloatComplex>::hermitian (std::conj); }
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136 FloatComplexMatrix transpose (void) const
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137 { return MArray<FloatComplex>::transpose (); }
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138
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139 friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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140
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141 // resize is the destructive equivalent for this one
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142
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143 FloatComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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144
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145 FloatComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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146
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147 // extract row or column i.
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148
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149 FloatComplexRowVector row (octave_idx_type i) const;
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150
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151 FloatComplexColumnVector column (octave_idx_type i) const;
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152
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153 private:
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154 FloatComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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155 float& rcon, int force, int calc_cond) const;
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156
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157 FloatComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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158 float& rcon, int force, int calc_cond) const;
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159
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160 public:
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161 FloatComplexMatrix inverse (void) const;
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162 FloatComplexMatrix inverse (octave_idx_type& info) const;
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163 FloatComplexMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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164 int calc_cond = 1) const;
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165
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166 FloatComplexMatrix inverse (MatrixType &mattype) const;
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167 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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168 FloatComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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169 float& rcon, int force = 0,
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170 int calc_cond = 1) const;
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171
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172 FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
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173
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174 FloatComplexMatrix fourier (void) const;
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175 FloatComplexMatrix ifourier (void) const;
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176
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177 FloatComplexMatrix fourier2d (void) const;
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178 FloatComplexMatrix ifourier2d (void) const;
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179
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180 FloatComplexDET determinant (void) const;
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181 FloatComplexDET determinant (octave_idx_type& info) const;
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182 FloatComplexDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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183 FloatComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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184 float& rcon, int calc_cond = 1) const;
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185
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186 float rcond (void) const;
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187 float rcond (MatrixType &mattype) const;
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188
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189 private:
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190 // Upper triangular matrix solvers
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191 FloatComplexMatrix utsolve (MatrixType &typ, const FloatComplexMatrix& b,
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192 octave_idx_type& info, float& rcon,
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193 solve_singularity_handler sing_handler,
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194 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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195
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196 // Lower triangular matrix solvers
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197 FloatComplexMatrix ltsolve (MatrixType &typ, const FloatComplexMatrix& b,
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198 octave_idx_type& info, float& rcon,
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199 solve_singularity_handler sing_handler,
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200 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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201
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202 // Full matrix solvers (umfpack/cholesky)
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203 FloatComplexMatrix fsolve (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) const;
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207
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208 public:
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209 // Generic interface to solver with no probing of type
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210 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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211 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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212 octave_idx_type& info) const;
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213 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b,
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214 octave_idx_type& info, float& rcon) const;
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215 FloatComplexMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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216 float& rcon, solve_singularity_handler sing_handler,
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217 bool singular_fallback = true,
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218 blas_trans_type transt = blas_no_trans) const;
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219
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220 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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221 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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222 octave_idx_type& info) const;
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223 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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224 octave_idx_type& info, float& rcon) const;
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225 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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226 octave_idx_type& info, float& rcon,
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227 solve_singularity_handler sing_handler,
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228 bool singular_fallback = true,
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229 blas_trans_type transt = blas_no_trans) const;
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230
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231 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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232 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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233 octave_idx_type& info) const;
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234 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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235 octave_idx_type& info, float& rcon) const;
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236 FloatComplexColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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237 octave_idx_type& info, float& rcon,
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238 solve_singularity_handler sing_handler,
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239 blas_trans_type transt = blas_no_trans) const;
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240
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241 FloatComplexColumnVector solve (MatrixType &typ,
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242 const FloatComplexColumnVector& b) const;
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243 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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244 octave_idx_type& info) const;
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245 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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246 octave_idx_type& info, float& rcon) const;
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247 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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248 octave_idx_type& info, float& rcon,
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249 solve_singularity_handler sing_handler,
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250 blas_trans_type transt = blas_no_trans) const;
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251
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252 // Generic interface to solver with probing of type
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253 FloatComplexMatrix solve (const FloatMatrix& b) const;
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254 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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255 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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256 FloatComplexMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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257 solve_singularity_handler sing_handler,
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258 blas_trans_type transt = blas_no_trans) const;
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259
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260 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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261 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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262 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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263 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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264 solve_singularity_handler sing_handler,
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265 blas_trans_type transt = blas_no_trans) const;
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266
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267 FloatComplexColumnVector solve (const FloatColumnVector& b) const;
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268 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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269 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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270 float& rcon) const;
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271 FloatComplexColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
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272 solve_singularity_handler sing_handler,
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273 blas_trans_type transt = blas_no_trans) const;
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274
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275 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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276 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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277 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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278 float& rcon) const;
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279 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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280 float& rcon,
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281 solve_singularity_handler sing_handler,
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282 blas_trans_type transt = blas_no_trans) const;
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283
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284 FloatComplexMatrix lssolve (const FloatMatrix& b) const;
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285 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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286 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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287 octave_idx_type& rank) const;
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288 FloatComplexMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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289 octave_idx_type& rank, float& rcon) const;
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290
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291 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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292 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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293 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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294 octave_idx_type& rank) const;
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295 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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296 octave_idx_type& rank, float& rcon) const;
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297
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298 FloatComplexColumnVector lssolve (const FloatColumnVector& b) const;
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299 FloatComplexColumnVector lssolve (const FloatColumnVector& b,
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300 octave_idx_type& info) const;
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301 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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302 octave_idx_type& rank) const;
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303 FloatComplexColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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304 octave_idx_type& rank, float& rcon) const;
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305
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306 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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307 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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308 octave_idx_type& info) const;
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309 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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310 octave_idx_type& info,
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311 octave_idx_type& rank) const;
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312 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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313 octave_idx_type& info,
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314 octave_idx_type& rank, float& rcon) const;
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315
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316 // matrix by diagonal matrix -> matrix operations
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317
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318 FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
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319 FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
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320
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321 FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
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322 FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
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323
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324 // matrix by matrix -> matrix operations
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325
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326 FloatComplexMatrix& operator += (const FloatMatrix& a);
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327 FloatComplexMatrix& operator -= (const FloatMatrix& a);
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328
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329 // unary operations
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330
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331 boolMatrix operator ! (void) const;
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332
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333 // other operations
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334
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335 bool any_element_is_nan (void) const;
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336 bool any_element_is_inf_or_nan (void) const;
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337 bool all_elements_are_real (void) const;
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338 bool all_integers (float& max_val, float& min_val) const;
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339 bool too_large_for_float (void) const;
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340
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341 boolMatrix all (int dim = -1) const;
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342 boolMatrix any (int dim = -1) const;
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343
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344 FloatComplexMatrix cumprod (int dim = -1) const;
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345 FloatComplexMatrix cumsum (int dim = -1) const;
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346 FloatComplexMatrix prod (int dim = -1) const;
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347 FloatComplexMatrix sum (int dim = -1) const;
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348 FloatComplexMatrix sumsq (int dim = -1) const;
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349 FloatMatrix abs (void) const;
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350
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351 FloatComplexMatrix diag (octave_idx_type k = 0) const;
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352
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353 bool row_is_real_only (octave_idx_type) const;
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354 bool column_is_real_only (octave_idx_type) const;
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355
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356 FloatComplexColumnVector row_min (void) const;
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357 FloatComplexColumnVector row_max (void) const;
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358
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359 FloatComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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360 FloatComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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361
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362 FloatComplexRowVector column_min (void) const;
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363 FloatComplexRowVector column_max (void) const;
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364
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365 FloatComplexRowVector column_min (Array<octave_idx_type>& index) const;
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366 FloatComplexRowVector column_max (Array<octave_idx_type>& index) const;
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367
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368 // i/o
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369
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370 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatComplexMatrix& a);
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371 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatComplexMatrix& a);
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372
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373 static FloatComplex resize_fill_value (void) { return FloatComplex (0.0, 0.0); }
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374
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375 };
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376
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377 extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
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378
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379 // column vector by row vector -> matrix operations
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380
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381 extern OCTAVE_API FloatComplexMatrix
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382 operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
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383
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384 extern OCTAVE_API FloatComplexMatrix
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385 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
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386
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387 extern OCTAVE_API FloatComplexMatrix
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388 operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
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389
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390 extern OCTAVE_API FloatComplexMatrix
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391 Givens (const FloatComplex&, const FloatComplex&);
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392
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393 extern OCTAVE_API FloatComplexMatrix
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394 Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&, const FloatComplexMatrix&);
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395
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396 extern OCTAVE_API FloatComplexMatrix
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397 xgemm (const FloatComplexMatrix& a, const FloatComplexMatrix& b,
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398 blas_trans_type transa = blas_no_trans,
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399 blas_trans_type transb = blas_no_trans);
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400
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401 extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&, const FloatComplexMatrix&);
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402 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatMatrix&);
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403 extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&, const FloatComplexMatrix&);
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404
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405 extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c, const FloatComplexMatrix& m);
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406 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m, const FloatComplex& c);
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407 extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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408
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409 extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c, const FloatComplexMatrix& m);
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410 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m, const FloatComplex& c);
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411 extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a, const FloatComplexMatrix& b);
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412
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413 extern OCTAVE_API FloatComplexMatrix linspace (const FloatComplexColumnVector& x1,
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414 const FloatComplexColumnVector& x2,
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415 octave_idx_type n);
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416
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417 MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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418 MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
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419
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420 SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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421 SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
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422
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423 MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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424 MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
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425
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426 MARRAY_FORWARD_DEFS (MArray, FloatComplexMatrix, FloatComplex)
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427
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428 #endif