annotate liboctave/CMatrix.h @ 11542:695141f1c05c ss-3-3-55

snapshot 3.3.55
author John W. Eaton <jwe@octave.org>
date Sat, 15 Jan 2011 04:53:04 -0500
parents fd0a3ac60b0e
children 57632dea2446
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1 /*
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2
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3 Copyright (C) 1994-2011 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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21 */
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23 #if !defined (octave_ComplexMatrix_h)
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24 #define octave_ComplexMatrix_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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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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35 class
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36 OCTAVE_API
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37 ComplexMatrix : public MArray<Complex>
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38 {
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39 public:
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40
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41 typedef ComplexColumnVector column_vector_type;
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42 typedef ComplexRowVector row_vector_type;
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43
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44 typedef void (*solve_singularity_handler) (double rcon);
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46 ComplexMatrix (void) : MArray<Complex> () { }
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48 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray<Complex> (r, c) { }
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49
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50 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
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51 : MArray<Complex> (r, c, val) { }
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53 ComplexMatrix (const dim_vector& dv) : MArray<Complex> (dv.redim (2)) { }
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55 ComplexMatrix (const dim_vector& dv, const Complex& val)
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56 : MArray<Complex> (dv.redim (2), val) { }
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58 ComplexMatrix (const ComplexMatrix& a) : MArray<Complex> (a) { }
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60 template <class U>
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61 ComplexMatrix (const MArray<U>& a) : MArray<Complex> (a.as_matrix ()) { }
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63 template <class U>
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64 ComplexMatrix (const Array<U>& a) : MArray<Complex> (a.as_matrix ()) { }
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65
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66 ComplexMatrix (const Matrix& re, const Matrix& im);
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67
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68 explicit ComplexMatrix (const Matrix& a);
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70 explicit ComplexMatrix (const RowVector& rv);
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72 explicit ComplexMatrix (const ColumnVector& cv);
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74 explicit ComplexMatrix (const DiagMatrix& a);
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76 explicit ComplexMatrix (const ComplexRowVector& rv);
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78 explicit ComplexMatrix (const ComplexColumnVector& cv);
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80 explicit ComplexMatrix (const ComplexDiagMatrix& a);
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81
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82 explicit ComplexMatrix (const boolMatrix& a);
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83
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84 explicit ComplexMatrix (const charMatrix& a);
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85
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86 ComplexMatrix& operator = (const ComplexMatrix& a)
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87 {
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88 MArray<Complex>::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 ComplexMatrix& a) const;
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93 bool operator != (const ComplexMatrix& a) const;
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95 bool is_hermitian (void) const;
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97 // destructive insert/delete/reorder operations
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98
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99 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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100 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
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101 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
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102 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
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103
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104 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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105 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c);
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106 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
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107 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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108
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109 ComplexMatrix& fill (double val);
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110 ComplexMatrix& fill (const Complex& val);
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111 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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112 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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114 ComplexMatrix append (const Matrix& a) const;
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115 ComplexMatrix append (const RowVector& a) const;
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116 ComplexMatrix append (const ColumnVector& a) const;
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117 ComplexMatrix append (const DiagMatrix& a) const;
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118
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119 ComplexMatrix append (const ComplexMatrix& a) const;
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120 ComplexMatrix append (const ComplexRowVector& a) const;
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121 ComplexMatrix append (const ComplexColumnVector& a) const;
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122 ComplexMatrix append (const ComplexDiagMatrix& a) const;
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123
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124 ComplexMatrix stack (const Matrix& a) const;
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125 ComplexMatrix stack (const RowVector& a) const;
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126 ComplexMatrix stack (const ColumnVector& a) const;
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127 ComplexMatrix stack (const DiagMatrix& a) const;
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128
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129 ComplexMatrix stack (const ComplexMatrix& a) const;
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130 ComplexMatrix stack (const ComplexRowVector& a) const;
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131 ComplexMatrix stack (const ComplexColumnVector& a) const;
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132 ComplexMatrix stack (const ComplexDiagMatrix& a) const;
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133
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134 ComplexMatrix hermitian (void) const
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135 { return MArray<Complex>::hermitian (std::conj); }
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136 ComplexMatrix transpose (void) const
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137 { return MArray<Complex>::transpose (); }
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138
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139 friend OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
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141 // resize is the destructive equivalent for this one
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142
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143 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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145 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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147 // extract row or column i.
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148
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149 ComplexRowVector row (octave_idx_type i) const;
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150
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151 ComplexColumnVector column (octave_idx_type i) const;
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152
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153 private:
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154 ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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155 double& rcon, int force, int calc_cond) const;
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156
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157 ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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158 double& rcon, int force, int calc_cond) const;
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159
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160 public:
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161 ComplexMatrix inverse (void) const;
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162 ComplexMatrix inverse (octave_idx_type& info) const;
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163 ComplexMatrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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164 int calc_cond = 1) const;
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165
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166 ComplexMatrix inverse (MatrixType &mattype) const;
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167 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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168 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
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169 double& rcon, int force = 0,
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170 int calc_cond = 1) const;
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171
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172 ComplexMatrix pseudo_inverse (double tol = 0.0) const;
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173
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174 ComplexMatrix fourier (void) const;
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175 ComplexMatrix ifourier (void) const;
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176
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177 ComplexMatrix fourier2d (void) const;
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178 ComplexMatrix ifourier2d (void) const;
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179
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180 ComplexDET determinant (void) const;
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181 ComplexDET determinant (octave_idx_type& info) const;
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182 ComplexDET determinant (octave_idx_type& info, double& rcon, int calc_cond = 1) const;
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183 ComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
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184 double& rcon, int calc_cond = 1) const;
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185
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186 double rcond (void) const;
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187 double 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 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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192 octave_idx_type& info, double& rcon,
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193 solve_singularity_handler sing_handler,
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194 bool calc_cond = false,
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195 blas_trans_type transt = blas_no_trans) const;
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196
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197 // Lower triangular matrix solvers
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198 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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199 octave_idx_type& info, double& rcon,
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200 solve_singularity_handler sing_handler,
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201 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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202
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203 // Full matrix solvers (umfpack/cholesky)
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204 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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205 octave_idx_type& info, double& rcon,
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206 solve_singularity_handler sing_handler,
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207 bool calc_cond = false) const;
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208
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209 public:
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210 // Generic interface to solver with no probing of type
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211 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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212 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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213 octave_idx_type& info) const;
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214 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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215 octave_idx_type& info, double& rcon) const;
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216 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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217 double& rcon, solve_singularity_handler sing_handler,
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218 bool singular_fallback = true,
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219 blas_trans_type transt = blas_no_trans) const;
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220
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221 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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222 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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223 octave_idx_type& info) const;
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224 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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225 octave_idx_type& info, double& rcon) const;
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226 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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227 octave_idx_type& info, double& rcon,
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228 solve_singularity_handler sing_handler,
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229 bool singular_fallback = true,
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230 blas_trans_type transt = blas_no_trans) const;
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231
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232 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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233 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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234 octave_idx_type& info) const;
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235 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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236 octave_idx_type& info, double& rcon) const;
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237 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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238 octave_idx_type& info, double& rcon,
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239 solve_singularity_handler sing_handler,
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240 blas_trans_type transt = blas_no_trans) const;
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241
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242 ComplexColumnVector solve (MatrixType &typ,
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243 const ComplexColumnVector& b) const;
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244 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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245 octave_idx_type& info) const;
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246 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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247 octave_idx_type& info, double& rcon) const;
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248 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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249 octave_idx_type& info, double& rcon,
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250 solve_singularity_handler sing_handler,
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251 blas_trans_type transt = blas_no_trans) const;
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252
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253 // Generic interface to solver with probing of type
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254 ComplexMatrix solve (const Matrix& b) const;
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255 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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256 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
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257 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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258 solve_singularity_handler sing_handler,
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259 blas_trans_type transt = blas_no_trans) const;
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260
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261 ComplexMatrix solve (const ComplexMatrix& b) const;
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262 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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263 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
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264 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
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265 solve_singularity_handler sing_handler,
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266 blas_trans_type transt = blas_no_trans) const;
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267
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268 ComplexColumnVector solve (const ColumnVector& b) const;
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269 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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270 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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271 double& rcon) const;
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272 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
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273 solve_singularity_handler sing_handler,
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274 blas_trans_type transt = blas_no_trans) const;
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275
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276 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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277 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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278 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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279 double& rcon) const;
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280 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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281 double& rcon, 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 ComplexMatrix lssolve (const Matrix& b) const;
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285 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const;
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286 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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287 octave_idx_type& rank) const;
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288 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
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289 octave_idx_type& rank, double& rcon) const;
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290
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291 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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292 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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293 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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294 octave_idx_type& rank) const;
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295 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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296 octave_idx_type& rank, double& rcon) const;
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297
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298 ComplexColumnVector lssolve (const ColumnVector& b) const;
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299 ComplexColumnVector lssolve (const ColumnVector& b,
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300 octave_idx_type& info) const;
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301 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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302 octave_idx_type& rank) const;
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303 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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304 octave_idx_type& rank, double& rcon) const;
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305
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306 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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307 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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308 octave_idx_type& info) const;
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309 ComplexColumnVector lssolve (const ComplexColumnVector& 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 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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313 octave_idx_type& info,
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314 octave_idx_type& rank, double& 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 ComplexMatrix& operator += (const DiagMatrix& a);
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319 ComplexMatrix& operator -= (const DiagMatrix& a);
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320
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321 ComplexMatrix& operator += (const ComplexDiagMatrix& a);
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322 ComplexMatrix& operator -= (const ComplexDiagMatrix& 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 ComplexMatrix& operator += (const Matrix& a);
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327 ComplexMatrix& operator -= (const Matrix& 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 (double& max_val, double& 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 ComplexMatrix cumprod (int dim = -1) const;
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345 ComplexMatrix cumsum (int dim = -1) const;
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346 ComplexMatrix prod (int dim = -1) const;
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347 ComplexMatrix sum (int dim = -1) const;
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348 ComplexMatrix sumsq (int dim = -1) const;
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349 Matrix abs (void) const;
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350
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351 ComplexMatrix 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 ComplexColumnVector row_min (void) const;
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357 ComplexColumnVector row_max (void) const;
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358
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359 ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
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360 ComplexColumnVector row_max (Array<octave_idx_type>& index) const;
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361
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362 ComplexRowVector column_min (void) const;
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363 ComplexRowVector column_max (void) const;
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364
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365 ComplexRowVector column_min (Array<octave_idx_type>& index) const;
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366 ComplexRowVector 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 ComplexMatrix& a);
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371 friend OCTAVE_API std::istream& operator >> (std::istream& is, ComplexMatrix& a);
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372
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373 static Complex resize_fill_value (void) { return Complex (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 ComplexMatrix conj (const ComplexMatrix& 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 ComplexMatrix
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382 operator * (const ColumnVector& a, const ComplexRowVector& b);
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383
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384 extern OCTAVE_API ComplexMatrix
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385 operator * (const ComplexColumnVector& a, const RowVector& b);
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386
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387 extern OCTAVE_API ComplexMatrix
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388 operator * (const ComplexColumnVector& a, const ComplexRowVector& b);
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389
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390 extern OCTAVE_API ComplexMatrix
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391 Givens (const Complex&, const Complex&);
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392
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393 extern OCTAVE_API ComplexMatrix
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394 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);
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395
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396 extern OCTAVE_API ComplexMatrix
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397 xgemm (const ComplexMatrix& a, const ComplexMatrix& 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 ComplexMatrix operator * (const Matrix&, const ComplexMatrix&);
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402 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const Matrix&);
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403 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&);
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404
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405 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
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406 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
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407 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b);
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408
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409 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
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410 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
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411 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b);
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412
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413 extern OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector& x1,
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414 const ComplexColumnVector& x2,
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415 octave_idx_type n);
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416
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diff changeset
417
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diff changeset
418 MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
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419 MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
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diff changeset
420
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diff changeset
421 SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
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422 SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
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diff changeset
423
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diff changeset
424 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
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diff changeset
425 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
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426
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12884915a8e4 merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents: 10312
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427 MARRAY_FORWARD_DEFS (MArray, ComplexMatrix, Complex)
3573
6ae6f1180e62 [project @ 2000-02-04 09:01:59 by jwe]
jwe
parents: 3504
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428
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
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429 #endif