annotate liboctave/CMatrix.h @ 8710:739141cde75a ss-3-1-52

fix typo in Array-f.cc
author Jaroslav Hajek <highegg@gmail.com>
date Mon, 09 Feb 2009 21:51:31 +0100
parents a1ae2aae903e
children b756ce0002db
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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 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_ComplexMatrix_h)
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25 #define octave_ComplexMatrix_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-defs.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 ComplexMatrix : public MArray2<Complex>
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39 {
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40 public:
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41
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42 typedef void (*solve_singularity_handler) (double rcon);
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43
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44 ComplexMatrix (void) : MArray2<Complex> () { }
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45
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46 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<Complex> (r, c) { }
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47
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48 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
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49 : MArray2<Complex> (r, c, val) { }
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50
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51 ComplexMatrix (const dim_vector& dv) : MArray2<Complex> (dv) { }
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52
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53 ComplexMatrix (const dim_vector& dv, const Complex& val)
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54 : MArray2<Complex> (dv, val) { }
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55
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56 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { }
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57
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58 template <class U>
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59 ComplexMatrix (const MArray2<U>& a) : MArray2<Complex> (a) { }
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61 template <class U>
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62 ComplexMatrix (const Array2<U>& a) : MArray2<Complex> (a) { }
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63
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64 explicit ComplexMatrix (const Matrix& a);
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65
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66 explicit ComplexMatrix (const RowVector& rv);
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67
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68 explicit ComplexMatrix (const ColumnVector& cv);
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69
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70 explicit ComplexMatrix (const DiagMatrix& a);
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71
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72 explicit ComplexMatrix (const ComplexRowVector& rv);
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73
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74 explicit ComplexMatrix (const ComplexColumnVector& cv);
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75
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76 explicit ComplexMatrix (const ComplexDiagMatrix& a);
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77
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78 explicit ComplexMatrix (const boolMatrix& a);
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79
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80 explicit ComplexMatrix (const charMatrix& a);
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81
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82 ComplexMatrix& operator = (const ComplexMatrix& a)
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83 {
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84 MArray2<Complex>::operator = (a);
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85 return *this;
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86 }
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87
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88 bool operator == (const ComplexMatrix& a) const;
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89 bool operator != (const ComplexMatrix& a) const;
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90
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91 bool is_hermitian (void) const;
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92
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93 // destructive insert/delete/reorder operations
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94
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95 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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96 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
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97 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
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98 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
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99
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100 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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101 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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102 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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103 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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104
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105 ComplexMatrix& fill (double val);
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106 ComplexMatrix& fill (const Complex& val);
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107 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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108 ComplexMatrix& fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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109
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110 ComplexMatrix append (const Matrix& a) const;
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111 ComplexMatrix append (const RowVector& a) const;
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112 ComplexMatrix append (const ColumnVector& a) const;
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113 ComplexMatrix append (const DiagMatrix& a) const;
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114
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115 ComplexMatrix append (const ComplexMatrix& a) const;
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116 ComplexMatrix append (const ComplexRowVector& a) const;
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117 ComplexMatrix append (const ComplexColumnVector& a) const;
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118 ComplexMatrix append (const ComplexDiagMatrix& a) const;
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119
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120 ComplexMatrix stack (const Matrix& a) const;
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121 ComplexMatrix stack (const RowVector& a) const;
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122 ComplexMatrix stack (const ColumnVector& a) const;
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123 ComplexMatrix stack (const DiagMatrix& a) const;
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124
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125 ComplexMatrix stack (const ComplexMatrix& a) const;
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126 ComplexMatrix stack (const ComplexRowVector& a) const;
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127 ComplexMatrix stack (const ComplexColumnVector& a) const;
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128 ComplexMatrix stack (const ComplexDiagMatrix& a) const;
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129
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130 ComplexMatrix hermitian (void) const
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131 { return MArray2<Complex>::hermitian (std::conj); }
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132 ComplexMatrix transpose (void) const
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133 { return MArray2<Complex>::transpose (); }
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134
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135 friend ComplexMatrix conj (const ComplexMatrix& a);
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136
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137 // resize is the destructive equivalent for this one
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138
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139 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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140
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141 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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142
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143 // extract row or column i.
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144
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145 ComplexRowVector row (octave_idx_type i) const;
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146
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147 ComplexColumnVector column (octave_idx_type i) const;
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148
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149 private:
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150 ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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151 double& rcon, int force, int calc_cond) const;
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152
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153 ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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154 double& rcon, int force, int calc_cond) const;
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155
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156 public:
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157 ComplexMatrix inverse (void) const;
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158 ComplexMatrix inverse (octave_idx_type& info) const;
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159 ComplexMatrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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160 int calc_cond = 1) const;
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161
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162 ComplexMatrix inverse (MatrixType &mattype) const;
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163 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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164 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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165 double& rcon, int force = 0,
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166 int calc_cond = 1) const;
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167
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168 ComplexMatrix pseudo_inverse (double tol = 0.0) const;
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169
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170 ComplexMatrix fourier (void) const;
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171 ComplexMatrix ifourier (void) const;
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172
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173 ComplexMatrix fourier2d (void) const;
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174 ComplexMatrix ifourier2d (void) const;
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175
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176 ComplexDET determinant (void) const;
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177 ComplexDET determinant (octave_idx_type& info) const;
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178 ComplexDET determinant (octave_idx_type& info, double& rcon, int calc_cond = 1) const;
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179 ComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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180 double& rcon, int calc_cond = 1) const;
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181
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182 double rcond (void) const;
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183 double rcond (MatrixType &mattype) const;
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184
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185 private:
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186 // Upper triangular matrix solvers
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187 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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188 octave_idx_type& info, double& rcon,
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189 solve_singularity_handler sing_handler,
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190 bool calc_cond = false) const;
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191
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192 // Lower triangular matrix solvers
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193 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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194 octave_idx_type& info, double& rcon,
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195 solve_singularity_handler sing_handler,
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196 bool calc_cond = false) const;
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197
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198 // Full matrix solvers (umfpack/cholesky)
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199 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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200 octave_idx_type& info, double& rcon,
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201 solve_singularity_handler sing_handler,
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202 bool calc_cond = false) const;
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203
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204 public:
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205 // Generic interface to solver with no probing of type
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206 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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207 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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208 octave_idx_type& info) const;
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209 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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210 octave_idx_type& info, double& rcon) const;
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211 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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212 double& rcon, solve_singularity_handler sing_handler,
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213 bool singular_fallback = true) const;
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214
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215 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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216 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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217 octave_idx_type& info) const;
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218 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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219 octave_idx_type& info, double& rcon) const;
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220 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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221 octave_idx_type& info, double& rcon,
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222 solve_singularity_handler sing_handler,
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223 bool singular_fallback = true) const;
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224
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225 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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226 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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227 octave_idx_type& info) const;
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228 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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229 octave_idx_type& info, double& rcon) const;
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230 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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231 octave_idx_type& info, double& rcon,
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232 solve_singularity_handler sing_handler) const;
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233
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234 ComplexColumnVector solve (MatrixType &typ,
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235 const ComplexColumnVector& b) const;
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236 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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237 octave_idx_type& info) const;
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238 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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239 octave_idx_type& info, double& rcon) const;
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240 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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241 octave_idx_type& info, double& rcon,
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242 solve_singularity_handler sing_handler) const;
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243
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244 // Generic interface to solver with probing of type
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245 ComplexMatrix solve (const Matrix& b) const;
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246 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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247 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
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248 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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249 solve_singularity_handler sing_handler) const;
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250
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251 ComplexMatrix solve (const ComplexMatrix& b) const;
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252 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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253 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
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254 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
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255 solve_singularity_handler sing_handler) const;
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256
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257 ComplexColumnVector solve (const ColumnVector& b) const;
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258 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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259 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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260 double& rcon) const;
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261 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
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262 solve_singularity_handler sing_handler) const;
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263
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264 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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265 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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266 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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267 double& rcon) const;
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268 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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269 double& rcon,
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270 solve_singularity_handler sing_handler) const;
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271
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272 ComplexMatrix lssolve (const Matrix& b) const;
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273 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const;
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274 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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275 octave_idx_type& rank) const;
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276 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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277 octave_idx_type& rank, double& rcon) const;
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278
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279 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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280 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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281 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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282 octave_idx_type& rank) const;
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283 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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284 octave_idx_type& rank, double& rcon) const;
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285
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286 ComplexColumnVector lssolve (const ColumnVector& b) const;
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287 ComplexColumnVector lssolve (const ColumnVector& b,
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288 octave_idx_type& info) const;
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289 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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290 octave_idx_type& rank) const;
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291 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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292 octave_idx_type& rank, double& rcon) const;
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293
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294 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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295 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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296 octave_idx_type& info) const;
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297 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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298 octave_idx_type& info,
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299 octave_idx_type& rank) const;
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300 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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301 octave_idx_type& info,
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302 octave_idx_type& rank, double& rcon) const;
458
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303
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304 // matrix by diagonal matrix -> matrix operations
458
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305
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306 ComplexMatrix& operator += (const DiagMatrix& a);
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307 ComplexMatrix& operator -= (const DiagMatrix& a);
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308
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309 ComplexMatrix& operator += (const ComplexDiagMatrix& a);
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310 ComplexMatrix& operator -= (const ComplexDiagMatrix& a);
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311
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312 // matrix by matrix -> matrix operations
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313
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314 ComplexMatrix& operator += (const Matrix& a);
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315 ComplexMatrix& operator -= (const Matrix& a);
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316
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317 // unary operations
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318
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319 boolMatrix operator ! (void) const;
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320
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321 // other operations
458
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322
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323 typedef double (*dmapper) (const Complex&);
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324 typedef Complex (*cmapper) (const Complex&);
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325 typedef bool (*bmapper) (const Complex&);
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326
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327 Matrix map (dmapper fcn) const;
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328 ComplexMatrix map (cmapper fcn) const;
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329 boolMatrix map (bmapper fcn) const;
458
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330
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331 bool any_element_is_nan (void) const;
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332 bool any_element_is_inf_or_nan (void) const;
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333 bool all_elements_are_real (void) const;
2384
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334 bool all_integers (double& max_val, double& min_val) const;
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335 bool too_large_for_float (void) const;
1963
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336
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337 boolMatrix all (int dim = -1) const;
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338 boolMatrix any (int dim = -1) const;
458
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339
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340 ComplexMatrix cumprod (int dim = -1) const;
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341 ComplexMatrix cumsum (int dim = -1) const;
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342 ComplexMatrix prod (int dim = -1) const;
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343 ComplexMatrix sum (int dim = -1) const;
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344 ComplexMatrix sumsq (int dim = -1) const;
4329
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345 Matrix abs (void) const;
458
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346
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347 ComplexMatrix diag (octave_idx_type k = 0) const;
458
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348
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349 bool row_is_real_only (octave_idx_type) const;
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350 bool column_is_real_only (octave_idx_type) const;
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351
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352 ComplexColumnVector row_min (void) const;
458
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353 ComplexColumnVector row_max (void) const;
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354
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355 ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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356 ComplexColumnVector row_max (Array<octave_idx_type>& index) const;
458
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357
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358 ComplexRowVector column_min (void) const;
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359 ComplexRowVector column_max (void) const;
458
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360
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361 ComplexRowVector column_min (Array<octave_idx_type>& index) const;
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362 ComplexRowVector column_max (Array<octave_idx_type>& index) const;
458
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363
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364 // i/o
458
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365
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366 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const ComplexMatrix& a);
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367 friend OCTAVE_API std::istream& operator >> (std::istream& is, ComplexMatrix& a);
458
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368
3933
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369 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); }
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370
458
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371 private:
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372
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373 ComplexMatrix (Complex *d, octave_idx_type r, octave_idx_type c) : MArray2<Complex> (d, r, c) { }
458
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374 };
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375
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376 extern OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
a1ae2aae903e abs,real,imag,conj: use code from mx-inlines rather than the generic map
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377
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378 // column vector by row vector -> matrix operations
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379
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380 extern OCTAVE_API ComplexMatrix
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381 operator * (const ColumnVector& a, const ComplexRowVector& b);
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382
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383 extern OCTAVE_API ComplexMatrix
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384 operator * (const ComplexColumnVector& a, const RowVector& b);
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385
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386 extern OCTAVE_API ComplexMatrix
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387 operator * (const ComplexColumnVector& a, const ComplexRowVector& b);
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388
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389 extern OCTAVE_API ComplexMatrix
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390 Givens (const Complex&, const Complex&);
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391
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392 extern OCTAVE_API ComplexMatrix
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393 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);
1819
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394
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395 extern OCTAVE_API ComplexMatrix
5861b95e9879 support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
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diff changeset
396 xgemm (bool transa, bool conja, const ComplexMatrix& a,
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diff changeset
397 bool transb, bool conjb, const ComplexMatrix& b);
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parents: 7789
diff changeset
398
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399 extern OCTAVE_API ComplexMatrix operator * (const Matrix&, const ComplexMatrix&);
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400 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const Matrix&);
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401 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&);
2828
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402
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403 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
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404 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
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405 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b);
4309
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diff changeset
406
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diff changeset
407 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
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diff changeset
408 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
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diff changeset
409 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b);
4309
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diff changeset
410
6708
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diff changeset
411 MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
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diff changeset
412 MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
2870
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diff changeset
413
6708
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diff changeset
414 SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
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diff changeset
415 SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
2870
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diff changeset
416
6708
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diff changeset
417 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
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diff changeset
418 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
2870
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diff changeset
419
3573
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diff changeset
420 MARRAY_FORWARD_DEFS (MArray2, ComplexMatrix, Complex)
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diff changeset
421
458
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422 #endif
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423
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424 /*
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425 ;;; Local Variables: ***
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426 ;;; mode: C++ ***
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427 ;;; End: ***
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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428 */