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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 |
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35 class |
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36 OCTAVE_API |
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37 ComplexMatrix : public MArray2<Complex> |
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38 { |
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39 public: |
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40 |
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41 typedef void (*solve_singularity_handler) (double rcond); |
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42 |
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43 ComplexMatrix (void) : MArray2<Complex> () { } |
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44 |
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45 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<Complex> (r, c) { } |
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46 |
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47 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val) |
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48 : MArray2<Complex> (r, c, val) { } |
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49 |
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50 ComplexMatrix (const dim_vector& dv) : MArray2<Complex> (dv) { } |
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51 |
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52 ComplexMatrix (const dim_vector& dv, const Complex& val) |
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53 : MArray2<Complex> (dv, val) { } |
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54 |
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55 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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56 |
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57 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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58 |
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59 explicit ComplexMatrix (const Matrix& a); |
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60 |
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61 explicit ComplexMatrix (const RowVector& rv); |
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62 |
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63 explicit ComplexMatrix (const ColumnVector& cv); |
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64 |
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65 explicit ComplexMatrix (const DiagMatrix& a); |
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66 |
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67 explicit ComplexMatrix (const ComplexRowVector& rv); |
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68 |
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69 explicit ComplexMatrix (const ComplexColumnVector& cv); |
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70 |
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71 explicit ComplexMatrix (const ComplexDiagMatrix& a); |
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72 |
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73 explicit ComplexMatrix (const boolMatrix& a); |
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74 |
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75 explicit ComplexMatrix (const charMatrix& a); |
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76 |
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77 ComplexMatrix& operator = (const ComplexMatrix& a) |
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78 { |
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79 MArray2<Complex>::operator = (a); |
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80 return *this; |
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81 } |
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82 |
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83 bool operator == (const ComplexMatrix& a) const; |
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84 bool operator != (const ComplexMatrix& a) const; |
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85 |
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86 bool is_hermitian (void) const; |
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87 |
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88 // destructive insert/delete/reorder operations |
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89 |
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90 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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91 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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92 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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93 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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94 |
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95 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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96 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c); |
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97 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c); |
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98 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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99 |
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100 ComplexMatrix& fill (double val); |
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101 ComplexMatrix& fill (const Complex& val); |
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102 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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103 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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104 |
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105 ComplexMatrix append (const Matrix& a) const; |
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106 ComplexMatrix append (const RowVector& a) const; |
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107 ComplexMatrix append (const ColumnVector& a) const; |
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108 ComplexMatrix append (const DiagMatrix& a) const; |
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109 |
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110 ComplexMatrix append (const ComplexMatrix& a) const; |
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111 ComplexMatrix append (const ComplexRowVector& a) const; |
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112 ComplexMatrix append (const ComplexColumnVector& a) const; |
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113 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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114 |
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115 ComplexMatrix stack (const Matrix& a) const; |
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116 ComplexMatrix stack (const RowVector& a) const; |
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117 ComplexMatrix stack (const ColumnVector& a) const; |
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118 ComplexMatrix stack (const DiagMatrix& a) const; |
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119 |
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120 ComplexMatrix stack (const ComplexMatrix& a) const; |
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121 ComplexMatrix stack (const ComplexRowVector& a) const; |
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122 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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123 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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124 |
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125 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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126 ComplexMatrix transpose (void) const |
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127 { return MArray2<Complex>::transpose (); } |
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128 |
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129 friend ComplexMatrix conj (const ComplexMatrix& a); |
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130 |
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131 // resize is the destructive equivalent for this one |
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132 |
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133 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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134 |
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135 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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136 |
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137 // extract row or column i. |
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138 |
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139 ComplexRowVector row (octave_idx_type i) const; |
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140 |
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141 ComplexColumnVector column (octave_idx_type i) const; |
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142 |
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143 private: |
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144 ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info, |
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145 double& rcond, int force, int calc_cond) const; |
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146 |
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147 ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info, |
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148 double& rcond, int force, int calc_cond) const; |
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149 |
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150 public: |
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151 ComplexMatrix inverse (void) const; |
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152 ComplexMatrix inverse (octave_idx_type& info) const; |
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153 ComplexMatrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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154 int calc_cond = 1) const; |
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155 |
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156 ComplexMatrix inverse (MatrixType &mattype) const; |
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157 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const; |
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158 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info, |
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159 double& rcond, int force = 0, |
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160 int calc_cond = 1) const; |
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161 |
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162 ComplexMatrix pseudo_inverse (double tol = 0.0) const; |
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163 |
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164 ComplexMatrix fourier (void) const; |
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165 ComplexMatrix ifourier (void) const; |
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166 |
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167 ComplexMatrix fourier2d (void) const; |
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168 ComplexMatrix ifourier2d (void) const; |
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169 |
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170 ComplexDET determinant (void) const; |
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171 ComplexDET determinant (octave_idx_type& info) const; |
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172 ComplexDET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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173 |
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174 private: |
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175 // Upper triangular matrix solvers |
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176 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b, |
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177 octave_idx_type& info, double& rcond, |
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178 solve_singularity_handler sing_handler, |
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179 bool calc_cond = false) const; |
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180 |
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181 // Lower triangular matrix solvers |
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182 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b, |
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183 octave_idx_type& info, double& rcond, |
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184 solve_singularity_handler sing_handler, |
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185 bool calc_cond = false) const; |
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186 |
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187 // Full matrix solvers (umfpack/cholesky) |
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188 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b, |
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189 octave_idx_type& info, double& rcond, |
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190 solve_singularity_handler sing_handler, |
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191 bool calc_cond = false) const; |
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192 |
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193 public: |
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194 // Generic interface to solver with no probing of type |
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195 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const; |
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196 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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197 octave_idx_type& info) const; |
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198 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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199 octave_idx_type& info, double& rcond) const; |
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200 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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201 double& rcond, solve_singularity_handler sing_handler, |
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202 bool singular_fallback = true) const; |
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203 |
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204 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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205 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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206 octave_idx_type& info) const; |
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207 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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208 octave_idx_type& info, double& rcond) const; |
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209 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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210 octave_idx_type& info, double& rcond, |
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211 solve_singularity_handler sing_handler, |
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212 bool singular_fallback = true) const; |
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213 |
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214 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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215 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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216 octave_idx_type& info) const; |
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217 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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218 octave_idx_type& info, double& rcond) const; |
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219 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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220 octave_idx_type& info, double& rcond, |
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221 solve_singularity_handler sing_handler) const; |
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222 |
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223 ComplexColumnVector solve (MatrixType &typ, |
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224 const ComplexColumnVector& b) const; |
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225 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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226 octave_idx_type& info) const; |
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227 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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228 octave_idx_type& info, double& rcond) const; |
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229 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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230 octave_idx_type& info, double& rcond, |
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231 solve_singularity_handler sing_handler) const; |
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232 |
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233 // Generic interface to solver with probing of type |
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234 ComplexMatrix solve (const Matrix& b) const; |
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235 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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236 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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237 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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238 solve_singularity_handler sing_handler) const; |
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239 |
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240 ComplexMatrix solve (const ComplexMatrix& b) const; |
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241 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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242 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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243 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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244 solve_singularity_handler sing_handler) const; |
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245 |
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246 ComplexColumnVector solve (const ColumnVector& b) const; |
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247 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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248 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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249 double& rcond) const; |
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250 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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251 solve_singularity_handler sing_handler) const; |
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252 |
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253 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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254 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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255 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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256 double& rcond) const; |
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257 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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258 double& rcond, |
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259 solve_singularity_handler sing_handler) const; |
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260 |
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261 ComplexMatrix lssolve (const Matrix& b) const; |
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262 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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263 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, |
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264 octave_idx_type& rank) const; |
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265 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, |
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266 octave_idx_type& rank, double& rcond) const; |
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267 |
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268 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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269 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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270 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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271 octave_idx_type& rank) const; |
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272 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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273 octave_idx_type& rank, double& rcond) const; |
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274 |
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275 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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276 ComplexColumnVector lssolve (const ColumnVector& b, |
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277 octave_idx_type& info) const; |
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278 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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279 octave_idx_type& rank) const; |
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280 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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281 octave_idx_type& rank, double& rcond) const; |
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282 |
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283 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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284 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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285 octave_idx_type& info) const; |
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286 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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287 octave_idx_type& info, |
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288 octave_idx_type& rank) const; |
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289 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
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290 octave_idx_type& info, |
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291 octave_idx_type& rank, double& rcond) const; |
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292 |
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293 ComplexMatrix expm (void) const; |
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294 |
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295 // matrix by diagonal matrix -> matrix operations |
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296 |
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297 ComplexMatrix& operator += (const DiagMatrix& a); |
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298 ComplexMatrix& operator -= (const DiagMatrix& a); |
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299 |
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300 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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301 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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302 |
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303 // matrix by matrix -> matrix operations |
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304 |
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305 ComplexMatrix& operator += (const Matrix& a); |
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306 ComplexMatrix& operator -= (const Matrix& a); |
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307 |
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308 // unary operations |
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309 |
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310 boolMatrix operator ! (void) const; |
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311 |
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312 // other operations |
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313 |
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314 ComplexMatrix map (c_c_Mapper f) const; |
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315 Matrix map (d_c_Mapper f) const; |
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316 boolMatrix map (b_c_Mapper f) const; |
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317 |
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318 ComplexMatrix& apply (c_c_Mapper f); |
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319 |
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320 bool any_element_is_inf_or_nan (void) const; |
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321 bool all_elements_are_real (void) const; |
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322 bool all_integers (double& max_val, double& min_val) const; |
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323 bool too_large_for_float (void) const; |
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324 |
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325 boolMatrix all (int dim = -1) const; |
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326 boolMatrix any (int dim = -1) const; |
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327 |
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328 ComplexMatrix cumprod (int dim = -1) const; |
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329 ComplexMatrix cumsum (int dim = -1) const; |
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330 ComplexMatrix prod (int dim = -1) const; |
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331 ComplexMatrix sum (int dim = -1) const; |
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332 ComplexMatrix sumsq (int dim = -1) const; |
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333 Matrix abs (void) const; |
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334 |
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335 ComplexColumnVector diag (void) const; |
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336 ComplexColumnVector diag (octave_idx_type k) const; |
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337 |
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338 bool row_is_real_only (octave_idx_type) const; |
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339 bool column_is_real_only (octave_idx_type) const; |
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340 |
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341 ComplexColumnVector row_min (void) const; |
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342 ComplexColumnVector row_max (void) const; |
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343 |
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344 ComplexColumnVector row_min (Array<octave_idx_type>& index) const; |
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345 ComplexColumnVector row_max (Array<octave_idx_type>& index) const; |
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346 |
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347 ComplexRowVector column_min (void) const; |
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348 ComplexRowVector column_max (void) const; |
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349 |
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350 ComplexRowVector column_min (Array<octave_idx_type>& index) const; |
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351 ComplexRowVector column_max (Array<octave_idx_type>& index) const; |
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352 |
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353 // i/o |
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354 |
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355 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const ComplexMatrix& a); |
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356 friend OCTAVE_API std::istream& operator >> (std::istream& is, ComplexMatrix& a); |
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357 |
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358 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); } |
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359 |
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360 private: |
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361 |
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362 ComplexMatrix (Complex *d, octave_idx_type r, octave_idx_type c) : MArray2<Complex> (d, r, c) { } |
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363 }; |
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364 |
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365 // column vector by row vector -> matrix operations |
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366 |
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367 extern OCTAVE_API ComplexMatrix |
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368 operator * (const ColumnVector& a, const ComplexRowVector& b); |
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369 |
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370 extern OCTAVE_API ComplexMatrix |
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371 operator * (const ComplexColumnVector& a, const RowVector& b); |
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372 |
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373 extern OCTAVE_API ComplexMatrix |
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374 operator * (const ComplexColumnVector& a, const ComplexRowVector& b); |
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375 |
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6108
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376 extern OCTAVE_API ComplexMatrix |
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5508
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377 Givens (const Complex&, const Complex&); |
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378 |
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6108
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379 extern OCTAVE_API ComplexMatrix |
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5508
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380 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&); |
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1819
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381 |
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6108
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382 extern OCTAVE_API ComplexMatrix operator * (const Matrix&, const ComplexMatrix&); |
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383 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const Matrix&); |
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384 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&); |
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2828
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385 |
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6108
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386 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m); |
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387 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c); |
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388 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b); |
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4309
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389 |
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6108
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390 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m); |
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391 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c); |
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392 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b); |
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4309
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393 |
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6708
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394 MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API) |
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395 MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API) |
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2870
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396 |
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6708
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397 SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API) |
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398 SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API) |
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2870
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399 |
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6708
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400 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API) |
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401 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API) |
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2870
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402 |
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3573
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403 MARRAY_FORWARD_DEFS (MArray2, ComplexMatrix, Complex) |
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404 |
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458
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405 #endif |
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406 |
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407 /* |
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408 ;;; Local Variables: *** |
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409 ;;; mode: C++ *** |
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410 ;;; End: *** |
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411 */ |
