Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 10362:b47ab50a6aa8
simplify appliers in mx-inlines.cc
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Fri, 26 Feb 2010 09:47:54 +0100 |
parents | a3635bc1ea19 |
children | a0728e81ed25 |
rev | line source |
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1993 | 1 // Matrix manipulations. |
458 | 2 /* |
3 | |
7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
8920 | 6 Copyright (C) 2008, 2009 Jaroslav Hajek |
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7 Copyright (C) 2009 VZLU Prague, a.s. |
458 | 8 |
9 This file is part of Octave. | |
10 | |
11 Octave is free software; you can redistribute it and/or modify it | |
12 under the terms of the GNU General Public License as published by the | |
7016 | 13 Free Software Foundation; either version 3 of the License, or (at your |
14 option) any later version. | |
458 | 15 |
16 Octave is distributed in the hope that it will be useful, but WITHOUT | |
17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
19 for more details. | |
20 | |
21 You should have received a copy of the GNU General Public License | |
7016 | 22 along with Octave; see the file COPYING. If not, see |
23 <http://www.gnu.org/licenses/>. | |
458 | 24 |
25 */ | |
26 | |
27 #ifdef HAVE_CONFIG_H | |
1192 | 28 #include <config.h> |
458 | 29 #endif |
30 | |
1367 | 31 #include <cfloat> |
32 | |
3503 | 33 #include <iostream> |
6209 | 34 #include <vector> |
1367 | 35 |
5775 | 36 // FIXME |
2443 | 37 #include <sys/types.h> |
458 | 38 |
4669 | 39 #include "Array-util.h" |
2828 | 40 #include "CMatrix.h" |
1819 | 41 #include "CmplxAEPBAL.h" |
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42 #include "CmplxCHOL.h" |
1819 | 43 #include "CmplxSCHUR.h" |
740 | 44 #include "CmplxSVD.h" |
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45 #include "DET.h" |
1847 | 46 #include "f77-fcn.h" |
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47 #include "functor.h" |
458 | 48 #include "lo-error.h" |
2354 | 49 #include "lo-ieee.h" |
50 #include "lo-mappers.h" | |
1968 | 51 #include "lo-utils.h" |
1367 | 52 #include "mx-base.h" |
2828 | 53 #include "mx-cm-dm.h" |
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54 #include "mx-cm-s.h" |
3176 | 55 #include "mx-dm-cm.h" |
1367 | 56 #include "mx-inlines.cc" |
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57 #include "mx-op-defs.h" |
1650 | 58 #include "oct-cmplx.h" |
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59 #include "oct-fftw.h" |
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60 #include "oct-locbuf.h" |
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61 #include "oct-norm.h" |
458 | 62 |
63 // Fortran functions we call. | |
64 | |
65 extern "C" | |
66 { | |
7477 | 67 F77_RET_T |
68 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
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69 F77_CONST_CHAR_ARG_DECL, |
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70 const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, const octave_idx_type&, |
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72 octave_idx_type& |
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73 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); |
7476 | 74 |
4552 | 75 F77_RET_T |
76 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
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77 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
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78 octave_idx_type&, double*, octave_idx_type& |
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79 F77_CHAR_ARG_LEN_DECL); |
4552 | 80 |
81 F77_RET_T | |
82 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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83 F77_CONST_CHAR_ARG_DECL, |
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84 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
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85 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& |
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86 F77_CHAR_ARG_LEN_DECL |
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87 F77_CHAR_ARG_LEN_DECL); |
4552 | 88 |
89 F77_RET_T | |
90 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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91 F77_CONST_CHAR_ARG_DECL, |
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92 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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93 const Complex&, const Complex*, const octave_idx_type&, |
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94 const Complex*, const octave_idx_type&, const Complex&, |
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95 Complex*, const octave_idx_type& |
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96 F77_CHAR_ARG_LEN_DECL |
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97 F77_CHAR_ARG_LEN_DECL); |
4552 | 98 |
99 F77_RET_T | |
5983 | 100 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
101 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
102 const Complex*, const octave_idx_type&, const Complex*, | |
103 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
104 F77_CHAR_ARG_LEN_DECL); | |
105 | |
106 F77_RET_T | |
107 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
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108 const Complex*, const octave_idx_type&, Complex&); |
5983 | 109 |
110 F77_RET_T | |
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111 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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112 const Complex*, const octave_idx_type&, Complex&); |
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113 |
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114 F77_RET_T |
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115 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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116 F77_CONST_CHAR_ARG_DECL, |
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117 const octave_idx_type&, const octave_idx_type&, |
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118 const Complex&, const Complex*, const octave_idx_type&, |
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119 const Complex&, Complex*, const octave_idx_type& |
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120 F77_CHAR_ARG_LEN_DECL |
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121 F77_CHAR_ARG_LEN_DECL); |
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122 |
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123 F77_RET_T |
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124 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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125 F77_CONST_CHAR_ARG_DECL, |
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126 const octave_idx_type&, const octave_idx_type&, |
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127 const double&, const Complex*, const octave_idx_type&, |
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128 const double&, Complex*, const octave_idx_type& |
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129 F77_CHAR_ARG_LEN_DECL |
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130 F77_CHAR_ARG_LEN_DECL); |
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131 |
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132 F77_RET_T |
5275 | 133 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
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134 octave_idx_type*, octave_idx_type&); |
4552 | 135 |
136 F77_RET_T | |
137 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
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138 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
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139 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& |
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140 F77_CHAR_ARG_LEN_DECL); |
4552 | 141 |
142 F77_RET_T | |
5275 | 143 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
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144 Complex*, const octave_idx_type&, octave_idx_type&); |
4552 | 145 |
146 F77_RET_T | |
147 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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148 const octave_idx_type&, Complex*, |
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149 const octave_idx_type&, const double&, double&, |
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150 Complex*, double*, octave_idx_type& |
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151 F77_CHAR_ARG_LEN_DECL); |
4552 | 152 |
153 F77_RET_T | |
7072 | 154 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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155 Complex*, const octave_idx_type&, Complex*, |
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156 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, |
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157 Complex*, const octave_idx_type&, double*, octave_idx_type&); |
7072 | 158 |
159 F77_RET_T | |
160 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
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161 Complex*, const octave_idx_type&, Complex*, |
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162 const octave_idx_type&, double*, double&, octave_idx_type&, |
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163 Complex*, const octave_idx_type&, double*, |
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164 octave_idx_type*, octave_idx_type&); |
458 | 165 |
5785 | 166 F77_RET_T |
167 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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168 Complex*, const octave_idx_type&, |
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169 octave_idx_type& F77_CHAR_ARG_LEN_DECL); |
5785 | 170 |
171 F77_RET_T | |
172 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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173 Complex*, const octave_idx_type&, const double&, |
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174 double&, Complex*, double*, |
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175 octave_idx_type& F77_CHAR_ARG_LEN_DECL); |
5785 | 176 |
177 F77_RET_T | |
178 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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179 const octave_idx_type&, const Complex*, |
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180 const octave_idx_type&, Complex*, |
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181 const octave_idx_type&, octave_idx_type& |
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182 F77_CHAR_ARG_LEN_DECL); |
5785 | 183 |
184 F77_RET_T | |
6207 | 185 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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186 const octave_idx_type&, const Complex*, |
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187 const octave_idx_type&, octave_idx_type& |
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188 F77_CHAR_ARG_LEN_DECL |
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189 F77_CHAR_ARG_LEN_DECL); |
6207 | 190 |
191 F77_RET_T | |
5785 | 192 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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193 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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194 const Complex*, const octave_idx_type&, double&, |
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195 Complex*, double*, octave_idx_type& |
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196 F77_CHAR_ARG_LEN_DECL |
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197 F77_CHAR_ARG_LEN_DECL |
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198 F77_CHAR_ARG_LEN_DECL); |
5785 | 199 |
200 F77_RET_T | |
201 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
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202 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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203 const octave_idx_type&, const Complex*, |
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204 const octave_idx_type&, Complex*, |
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205 const octave_idx_type&, octave_idx_type& |
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206 F77_CHAR_ARG_LEN_DECL |
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207 F77_CHAR_ARG_LEN_DECL |
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208 F77_CHAR_ARG_LEN_DECL); |
5785 | 209 |
4552 | 210 F77_RET_T |
211 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
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212 double&, Complex&, Complex&); |
4552 | 213 |
214 F77_RET_T | |
215 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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216 F77_CONST_CHAR_ARG_DECL, |
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217 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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218 const Complex*, const octave_idx_type&, |
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219 const Complex*, const octave_idx_type&, |
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220 const Complex*, const octave_idx_type&, double&, octave_idx_type& |
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221 F77_CHAR_ARG_LEN_DECL |
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222 F77_CHAR_ARG_LEN_DECL); |
4552 | 223 |
224 F77_RET_T | |
225 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
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226 const octave_idx_type&, const octave_idx_type&, const Complex*, |
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227 const octave_idx_type&, double*, double& |
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228 F77_CHAR_ARG_LEN_DECL); |
458 | 229 } |
230 | |
2354 | 231 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
232 | |
1360 | 233 // Complex Matrix class |
458 | 234 |
235 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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236 : MArray<Complex> (a) |
458 | 237 { |
238 } | |
239 | |
2349 | 240 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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241 : MArray<Complex> (rv) |
2349 | 242 { |
243 } | |
244 | |
245 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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246 : MArray<Complex> (cv) |
2349 | 247 { |
248 } | |
249 | |
458 | 250 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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251 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
458 | 252 { |
5275 | 253 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 254 elem (i, i) = a.elem (i, i); |
255 } | |
256 | |
2349 | 257 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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258 : MArray<Complex> (rv) |
2349 | 259 { |
260 } | |
261 | |
262 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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263 : MArray<Complex> (cv) |
2349 | 264 { |
265 } | |
266 | |
458 | 267 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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268 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
458 | 269 { |
5275 | 270 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 271 elem (i, i) = a.elem (i, i); |
272 } | |
273 | |
5775 | 274 // FIXME -- could we use a templated mixed-type copy function |
1574 | 275 // here? |
276 | |
2828 | 277 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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278 : MArray<Complex> (a) |
2828 | 279 { |
280 } | |
281 | |
1574 | 282 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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283 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
1574 | 284 { |
5275 | 285 for (octave_idx_type i = 0; i < a.rows (); i++) |
286 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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287 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
1574 | 288 } |
289 | |
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290 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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291 : MArray<Complex> (re.rows (), re.cols ()) |
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292 { |
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293 if (im.rows () != rows () || im.cols () != cols ()) |
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294 (*current_liboctave_error_handler) ("complex: internal error"); |
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295 |
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296 octave_idx_type nel = numel (); |
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297 for (octave_idx_type i = 0; i < nel; i++) |
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298 xelem (i) = Complex (re(i), im(i)); |
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299 } |
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300 |
2384 | 301 bool |
458 | 302 ComplexMatrix::operator == (const ComplexMatrix& a) const |
303 { | |
304 if (rows () != a.rows () || cols () != a.cols ()) | |
2384 | 305 return false; |
458 | 306 |
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307 return mx_inline_equal (length (), data (), a.data ()); |
458 | 308 } |
309 | |
2384 | 310 bool |
458 | 311 ComplexMatrix::operator != (const ComplexMatrix& a) const |
312 { | |
313 return !(*this == a); | |
314 } | |
315 | |
2815 | 316 bool |
317 ComplexMatrix::is_hermitian (void) const | |
318 { | |
5275 | 319 octave_idx_type nr = rows (); |
320 octave_idx_type nc = cols (); | |
2815 | 321 |
322 if (is_square () && nr > 0) | |
323 { | |
5275 | 324 for (octave_idx_type i = 0; i < nr; i++) |
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325 for (octave_idx_type j = i; j < nc; j++) |
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326 if (elem (i, j) != conj (elem (j, i))) |
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327 return false; |
2815 | 328 |
329 return true; | |
330 } | |
331 | |
332 return false; | |
333 } | |
334 | |
458 | 335 // destructive insert/delete/reorder operations |
336 | |
337 ComplexMatrix& | |
5275 | 338 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
458 | 339 { |
5275 | 340 octave_idx_type a_nr = a.rows (); |
341 octave_idx_type a_nc = a.cols (); | |
1699 | 342 |
343 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 344 { |
345 (*current_liboctave_error_handler) ("range error for insert"); | |
346 return *this; | |
347 } | |
348 | |
4316 | 349 if (a_nr >0 && a_nc > 0) |
350 { | |
351 make_unique (); | |
352 | |
5275 | 353 for (octave_idx_type j = 0; j < a_nc; j++) |
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354 for (octave_idx_type i = 0; i < a_nr; i++) |
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355 xelem (r+i, c+j) = a.elem (i, j); |
4316 | 356 } |
458 | 357 |
358 return *this; | |
359 } | |
360 | |
361 ComplexMatrix& | |
5275 | 362 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 363 { |
5275 | 364 octave_idx_type a_len = a.length (); |
4316 | 365 |
1699 | 366 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 367 { |
368 (*current_liboctave_error_handler) ("range error for insert"); | |
369 return *this; | |
370 } | |
371 | |
4316 | 372 if (a_len > 0) |
373 { | |
374 make_unique (); | |
375 | |
5275 | 376 for (octave_idx_type i = 0; i < a_len; i++) |
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377 xelem (r, c+i) = a.elem (i); |
4316 | 378 } |
458 | 379 |
380 return *this; | |
381 } | |
382 | |
383 ComplexMatrix& | |
5275 | 384 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
458 | 385 { |
5275 | 386 octave_idx_type a_len = a.length (); |
4316 | 387 |
1699 | 388 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 389 { |
390 (*current_liboctave_error_handler) ("range error for insert"); | |
391 return *this; | |
392 } | |
393 | |
4316 | 394 if (a_len > 0) |
395 { | |
396 make_unique (); | |
397 | |
5275 | 398 for (octave_idx_type i = 0; i < a_len; i++) |
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399 xelem (r+i, c) = a.elem (i); |
4316 | 400 } |
458 | 401 |
402 return *this; | |
403 } | |
404 | |
405 ComplexMatrix& | |
5275 | 406 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 407 { |
5275 | 408 octave_idx_type a_nr = a.rows (); |
409 octave_idx_type a_nc = a.cols (); | |
1699 | 410 |
411 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 412 { |
413 (*current_liboctave_error_handler) ("range error for insert"); | |
414 return *this; | |
415 } | |
416 | |
1699 | 417 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
418 | |
5275 | 419 octave_idx_type a_len = a.length (); |
4316 | 420 |
421 if (a_len > 0) | |
422 { | |
423 make_unique (); | |
424 | |
5275 | 425 for (octave_idx_type i = 0; i < a_len; i++) |
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426 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 427 } |
458 | 428 |
429 return *this; | |
430 } | |
431 | |
432 ComplexMatrix& | |
5275 | 433 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 434 { |
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435 Array<Complex>::insert (a, r, c); |
458 | 436 return *this; |
437 } | |
438 | |
439 ComplexMatrix& | |
5275 | 440 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 441 { |
5275 | 442 octave_idx_type a_len = a.length (); |
1699 | 443 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 444 { |
445 (*current_liboctave_error_handler) ("range error for insert"); | |
446 return *this; | |
447 } | |
448 | |
5275 | 449 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 450 elem (r, c+i) = a.elem (i); |
451 | |
452 return *this; | |
453 } | |
454 | |
455 ComplexMatrix& | |
5275 | 456 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
458 | 457 { |
5275 | 458 octave_idx_type a_len = a.length (); |
4316 | 459 |
1699 | 460 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 461 { |
462 (*current_liboctave_error_handler) ("range error for insert"); | |
463 return *this; | |
464 } | |
465 | |
4316 | 466 if (a_len > 0) |
467 { | |
468 make_unique (); | |
469 | |
5275 | 470 for (octave_idx_type i = 0; i < a_len; i++) |
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471 xelem (r+i, c) = a.elem (i); |
4316 | 472 } |
458 | 473 |
474 return *this; | |
475 } | |
476 | |
477 ComplexMatrix& | |
5275 | 478 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 479 { |
5275 | 480 octave_idx_type a_nr = a.rows (); |
481 octave_idx_type a_nc = a.cols (); | |
1699 | 482 |
483 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 484 { |
485 (*current_liboctave_error_handler) ("range error for insert"); | |
486 return *this; | |
487 } | |
488 | |
1699 | 489 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
490 | |
5275 | 491 octave_idx_type a_len = a.length (); |
4316 | 492 |
493 if (a_len > 0) | |
494 { | |
495 make_unique (); | |
496 | |
5275 | 497 for (octave_idx_type i = 0; i < a_len; i++) |
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498 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 499 } |
458 | 500 |
501 return *this; | |
502 } | |
503 | |
504 ComplexMatrix& | |
505 ComplexMatrix::fill (double val) | |
506 { | |
5275 | 507 octave_idx_type nr = rows (); |
508 octave_idx_type nc = cols (); | |
4316 | 509 |
458 | 510 if (nr > 0 && nc > 0) |
4316 | 511 { |
512 make_unique (); | |
513 | |
5275 | 514 for (octave_idx_type j = 0; j < nc; j++) |
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515 for (octave_idx_type i = 0; i < nr; i++) |
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516 xelem (i, j) = val; |
4316 | 517 } |
458 | 518 |
519 return *this; | |
520 } | |
521 | |
522 ComplexMatrix& | |
523 ComplexMatrix::fill (const Complex& val) | |
524 { | |
5275 | 525 octave_idx_type nr = rows (); |
526 octave_idx_type nc = cols (); | |
4316 | 527 |
458 | 528 if (nr > 0 && nc > 0) |
4316 | 529 { |
530 make_unique (); | |
531 | |
5275 | 532 for (octave_idx_type j = 0; j < nc; j++) |
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533 for (octave_idx_type i = 0; i < nr; i++) |
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534 xelem (i, j) = val; |
4316 | 535 } |
458 | 536 |
537 return *this; | |
538 } | |
539 | |
540 ComplexMatrix& | |
5275 | 541 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
458 | 542 { |
5275 | 543 octave_idx_type nr = rows (); |
544 octave_idx_type nc = cols (); | |
4316 | 545 |
458 | 546 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
547 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
548 { | |
549 (*current_liboctave_error_handler) ("range error for fill"); | |
550 return *this; | |
551 } | |
552 | |
5275 | 553 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
554 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 555 |
4316 | 556 if (r2 >= r1 && c2 >= c1) |
557 { | |
558 make_unique (); | |
559 | |
5275 | 560 for (octave_idx_type j = c1; j <= c2; j++) |
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561 for (octave_idx_type i = r1; i <= r2; i++) |
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562 xelem (i, j) = val; |
4316 | 563 } |
458 | 564 |
565 return *this; | |
566 } | |
567 | |
568 ComplexMatrix& | |
5275 | 569 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
458 | 570 { |
5275 | 571 octave_idx_type nr = rows (); |
572 octave_idx_type nc = cols (); | |
4316 | 573 |
458 | 574 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
575 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
576 { | |
577 (*current_liboctave_error_handler) ("range error for fill"); | |
578 return *this; | |
579 } | |
580 | |
5275 | 581 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
582 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 583 |
4316 | 584 if (r2 >= r1 && c2 >=c1) |
585 { | |
586 make_unique (); | |
587 | |
5275 | 588 for (octave_idx_type j = c1; j <= c2; j++) |
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589 for (octave_idx_type i = r1; i <= r2; i++) |
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590 xelem (i, j) = val; |
4316 | 591 } |
458 | 592 |
593 return *this; | |
594 } | |
595 | |
596 ComplexMatrix | |
597 ComplexMatrix::append (const Matrix& a) const | |
598 { | |
5275 | 599 octave_idx_type nr = rows (); |
600 octave_idx_type nc = cols (); | |
458 | 601 if (nr != a.rows ()) |
602 { | |
603 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
604 return *this; | |
605 } | |
606 | |
5275 | 607 octave_idx_type nc_insert = nc; |
458 | 608 ComplexMatrix retval (nr, nc + a.cols ()); |
609 retval.insert (*this, 0, 0); | |
610 retval.insert (a, 0, nc_insert); | |
611 return retval; | |
612 } | |
613 | |
614 ComplexMatrix | |
615 ComplexMatrix::append (const RowVector& a) const | |
616 { | |
5275 | 617 octave_idx_type nr = rows (); |
618 octave_idx_type nc = cols (); | |
458 | 619 if (nr != 1) |
620 { | |
621 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
622 return *this; | |
623 } | |
624 | |
5275 | 625 octave_idx_type nc_insert = nc; |
458 | 626 ComplexMatrix retval (nr, nc + a.length ()); |
627 retval.insert (*this, 0, 0); | |
628 retval.insert (a, 0, nc_insert); | |
629 return retval; | |
630 } | |
631 | |
632 ComplexMatrix | |
633 ComplexMatrix::append (const ColumnVector& a) const | |
634 { | |
5275 | 635 octave_idx_type nr = rows (); |
636 octave_idx_type nc = cols (); | |
458 | 637 if (nr != a.length ()) |
638 { | |
639 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
640 return *this; | |
641 } | |
642 | |
5275 | 643 octave_idx_type nc_insert = nc; |
458 | 644 ComplexMatrix retval (nr, nc + 1); |
645 retval.insert (*this, 0, 0); | |
646 retval.insert (a, 0, nc_insert); | |
647 return retval; | |
648 } | |
649 | |
650 ComplexMatrix | |
651 ComplexMatrix::append (const DiagMatrix& a) const | |
652 { | |
5275 | 653 octave_idx_type nr = rows (); |
654 octave_idx_type nc = cols (); | |
458 | 655 if (nr != a.rows ()) |
656 { | |
657 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
658 return *this; | |
659 } | |
660 | |
5275 | 661 octave_idx_type nc_insert = nc; |
458 | 662 ComplexMatrix retval (nr, nc + a.cols ()); |
663 retval.insert (*this, 0, 0); | |
664 retval.insert (a, 0, nc_insert); | |
665 return retval; | |
666 } | |
667 | |
668 ComplexMatrix | |
669 ComplexMatrix::append (const ComplexMatrix& a) const | |
670 { | |
5275 | 671 octave_idx_type nr = rows (); |
672 octave_idx_type nc = cols (); | |
458 | 673 if (nr != a.rows ()) |
674 { | |
675 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
676 return *this; | |
677 } | |
678 | |
5275 | 679 octave_idx_type nc_insert = nc; |
458 | 680 ComplexMatrix retval (nr, nc + a.cols ()); |
681 retval.insert (*this, 0, 0); | |
682 retval.insert (a, 0, nc_insert); | |
683 return retval; | |
684 } | |
685 | |
686 ComplexMatrix | |
687 ComplexMatrix::append (const ComplexRowVector& a) const | |
688 { | |
5275 | 689 octave_idx_type nr = rows (); |
690 octave_idx_type nc = cols (); | |
458 | 691 if (nr != 1) |
692 { | |
693 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
694 return *this; | |
695 } | |
696 | |
5275 | 697 octave_idx_type nc_insert = nc; |
458 | 698 ComplexMatrix retval (nr, nc + a.length ()); |
699 retval.insert (*this, 0, 0); | |
700 retval.insert (a, 0, nc_insert); | |
701 return retval; | |
702 } | |
703 | |
704 ComplexMatrix | |
705 ComplexMatrix::append (const ComplexColumnVector& a) const | |
706 { | |
5275 | 707 octave_idx_type nr = rows (); |
708 octave_idx_type nc = cols (); | |
458 | 709 if (nr != a.length ()) |
710 { | |
711 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
712 return *this; | |
713 } | |
714 | |
5275 | 715 octave_idx_type nc_insert = nc; |
458 | 716 ComplexMatrix retval (nr, nc + 1); |
717 retval.insert (*this, 0, 0); | |
718 retval.insert (a, 0, nc_insert); | |
719 return retval; | |
720 } | |
721 | |
722 ComplexMatrix | |
723 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
724 { | |
5275 | 725 octave_idx_type nr = rows (); |
726 octave_idx_type nc = cols (); | |
458 | 727 if (nr != a.rows ()) |
728 { | |
729 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
730 return *this; | |
731 } | |
732 | |
5275 | 733 octave_idx_type nc_insert = nc; |
458 | 734 ComplexMatrix retval (nr, nc + a.cols ()); |
735 retval.insert (*this, 0, 0); | |
736 retval.insert (a, 0, nc_insert); | |
737 return retval; | |
738 } | |
739 | |
740 ComplexMatrix | |
741 ComplexMatrix::stack (const Matrix& a) const | |
742 { | |
5275 | 743 octave_idx_type nr = rows (); |
744 octave_idx_type nc = cols (); | |
458 | 745 if (nc != a.cols ()) |
746 { | |
747 (*current_liboctave_error_handler) | |
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748 ("column dimension mismatch for stack"); |
458 | 749 return *this; |
750 } | |
751 | |
5275 | 752 octave_idx_type nr_insert = nr; |
458 | 753 ComplexMatrix retval (nr + a.rows (), nc); |
754 retval.insert (*this, 0, 0); | |
755 retval.insert (a, nr_insert, 0); | |
756 return retval; | |
757 } | |
758 | |
759 ComplexMatrix | |
760 ComplexMatrix::stack (const RowVector& a) const | |
761 { | |
5275 | 762 octave_idx_type nr = rows (); |
763 octave_idx_type nc = cols (); | |
458 | 764 if (nc != a.length ()) |
765 { | |
766 (*current_liboctave_error_handler) | |
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767 ("column dimension mismatch for stack"); |
458 | 768 return *this; |
769 } | |
770 | |
5275 | 771 octave_idx_type nr_insert = nr; |
458 | 772 ComplexMatrix retval (nr + 1, nc); |
773 retval.insert (*this, 0, 0); | |
774 retval.insert (a, nr_insert, 0); | |
775 return retval; | |
776 } | |
777 | |
778 ComplexMatrix | |
779 ComplexMatrix::stack (const ColumnVector& a) const | |
780 { | |
5275 | 781 octave_idx_type nr = rows (); |
782 octave_idx_type nc = cols (); | |
458 | 783 if (nc != 1) |
784 { | |
785 (*current_liboctave_error_handler) | |
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786 ("column dimension mismatch for stack"); |
458 | 787 return *this; |
788 } | |
789 | |
5275 | 790 octave_idx_type nr_insert = nr; |
458 | 791 ComplexMatrix retval (nr + a.length (), nc); |
792 retval.insert (*this, 0, 0); | |
793 retval.insert (a, nr_insert, 0); | |
794 return retval; | |
795 } | |
796 | |
797 ComplexMatrix | |
798 ComplexMatrix::stack (const DiagMatrix& a) const | |
799 { | |
5275 | 800 octave_idx_type nr = rows (); |
801 octave_idx_type nc = cols (); | |
458 | 802 if (nc != a.cols ()) |
803 { | |
804 (*current_liboctave_error_handler) | |
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805 ("column dimension mismatch for stack"); |
458 | 806 return *this; |
807 } | |
808 | |
5275 | 809 octave_idx_type nr_insert = nr; |
458 | 810 ComplexMatrix retval (nr + a.rows (), nc); |
811 retval.insert (*this, 0, 0); | |
812 retval.insert (a, nr_insert, 0); | |
813 return retval; | |
814 } | |
815 | |
816 ComplexMatrix | |
817 ComplexMatrix::stack (const ComplexMatrix& a) const | |
818 { | |
5275 | 819 octave_idx_type nr = rows (); |
820 octave_idx_type nc = cols (); | |
458 | 821 if (nc != a.cols ()) |
822 { | |
823 (*current_liboctave_error_handler) | |
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824 ("column dimension mismatch for stack"); |
458 | 825 return *this; |
826 } | |
827 | |
5275 | 828 octave_idx_type nr_insert = nr; |
458 | 829 ComplexMatrix retval (nr + a.rows (), nc); |
830 retval.insert (*this, 0, 0); | |
831 retval.insert (a, nr_insert, 0); | |
832 return retval; | |
833 } | |
834 | |
835 ComplexMatrix | |
836 ComplexMatrix::stack (const ComplexRowVector& a) const | |
837 { | |
5275 | 838 octave_idx_type nr = rows (); |
839 octave_idx_type nc = cols (); | |
458 | 840 if (nc != a.length ()) |
841 { | |
842 (*current_liboctave_error_handler) | |
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843 ("column dimension mismatch for stack"); |
458 | 844 return *this; |
845 } | |
846 | |
5275 | 847 octave_idx_type nr_insert = nr; |
458 | 848 ComplexMatrix retval (nr + 1, nc); |
849 retval.insert (*this, 0, 0); | |
850 retval.insert (a, nr_insert, 0); | |
851 return retval; | |
852 } | |
853 | |
854 ComplexMatrix | |
855 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
856 { | |
5275 | 857 octave_idx_type nr = rows (); |
858 octave_idx_type nc = cols (); | |
458 | 859 if (nc != 1) |
860 { | |
861 (*current_liboctave_error_handler) | |
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862 ("column dimension mismatch for stack"); |
458 | 863 return *this; |
864 } | |
865 | |
5275 | 866 octave_idx_type nr_insert = nr; |
458 | 867 ComplexMatrix retval (nr + a.length (), nc); |
868 retval.insert (*this, 0, 0); | |
869 retval.insert (a, nr_insert, 0); | |
870 return retval; | |
871 } | |
872 | |
873 ComplexMatrix | |
874 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
875 { | |
5275 | 876 octave_idx_type nr = rows (); |
877 octave_idx_type nc = cols (); | |
458 | 878 if (nc != a.cols ()) |
879 { | |
880 (*current_liboctave_error_handler) | |
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881 ("column dimension mismatch for stack"); |
458 | 882 return *this; |
883 } | |
884 | |
5275 | 885 octave_idx_type nr_insert = nr; |
458 | 886 ComplexMatrix retval (nr + a.rows (), nc); |
887 retval.insert (*this, 0, 0); | |
888 retval.insert (a, nr_insert, 0); | |
889 return retval; | |
890 } | |
891 | |
892 ComplexMatrix | |
893 conj (const ComplexMatrix& a) | |
894 { | |
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895 return ComplexMatrix (mx_inline_conj_dup (a.data (), a.length ()), |
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896 a.rows (), a.cols ()); |
458 | 897 } |
898 | |
899 // resize is the destructive equivalent for this one | |
900 | |
901 ComplexMatrix | |
5275 | 902 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
458 | 903 { |
5275 | 904 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
905 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
906 | |
907 octave_idx_type new_r = r2 - r1 + 1; | |
908 octave_idx_type new_c = c2 - c1 + 1; | |
458 | 909 |
910 ComplexMatrix result (new_r, new_c); | |
911 | |
5275 | 912 for (octave_idx_type j = 0; j < new_c; j++) |
913 for (octave_idx_type i = 0; i < new_r; i++) | |
4316 | 914 result.xelem (i, j) = elem (r1+i, c1+j); |
915 | |
916 return result; | |
917 } | |
918 | |
919 ComplexMatrix | |
5275 | 920 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
4316 | 921 { |
922 ComplexMatrix result (nr, nc); | |
923 | |
5275 | 924 for (octave_idx_type j = 0; j < nc; j++) |
925 for (octave_idx_type i = 0; i < nr; i++) | |
4316 | 926 result.xelem (i, j) = elem (r1+i, c1+j); |
458 | 927 |
928 return result; | |
929 } | |
930 | |
931 // extract row or column i. | |
932 | |
933 ComplexRowVector | |
5275 | 934 ComplexMatrix::row (octave_idx_type i) const |
458 | 935 { |
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936 return index (idx_vector (i), idx_vector::colon); |
458 | 937 } |
938 | |
939 ComplexColumnVector | |
5275 | 940 ComplexMatrix::column (octave_idx_type i) const |
458 | 941 { |
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942 return index (idx_vector::colon, idx_vector (i)); |
458 | 943 } |
944 | |
945 ComplexMatrix | |
946 ComplexMatrix::inverse (void) const | |
947 { | |
5275 | 948 octave_idx_type info; |
7788 | 949 double rcon; |
6207 | 950 MatrixType mattype (*this); |
7788 | 951 return inverse (mattype, info, rcon, 0, 0); |
6207 | 952 } |
953 | |
954 ComplexMatrix | |
6479 | 955 ComplexMatrix::inverse (octave_idx_type& info) const |
956 { | |
7788 | 957 double rcon; |
6479 | 958 MatrixType mattype (*this); |
7788 | 959 return inverse (mattype, info, rcon, 0, 0); |
6479 | 960 } |
961 | |
962 ComplexMatrix | |
7788 | 963 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
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964 int calc_cond) const |
6479 | 965 { |
966 MatrixType mattype (*this); | |
7788 | 967 return inverse (mattype, info, rcon, force, calc_cond); |
6479 | 968 } |
969 | |
970 ComplexMatrix | |
6207 | 971 ComplexMatrix::inverse (MatrixType &mattype) const |
972 { | |
973 octave_idx_type info; | |
7788 | 974 double rcon; |
975 return inverse (mattype, info, rcon, 0, 0); | |
6207 | 976 } |
977 | |
978 ComplexMatrix | |
979 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
980 { | |
7788 | 981 double rcon; |
982 return inverse (mattype, info, rcon, 0, 0); | |
458 | 983 } |
984 | |
985 ComplexMatrix | |
6207 | 986 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
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987 double& rcon, int force, int calc_cond) const |
458 | 988 { |
6207 | 989 ComplexMatrix retval; |
990 | |
991 octave_idx_type nr = rows (); | |
992 octave_idx_type nc = cols (); | |
993 | |
994 if (nr != nc || nr == 0 || nc == 0) | |
995 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
996 else | |
997 { | |
998 int typ = mattype.type (); | |
999 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
1000 char udiag = 'N'; | |
1001 retval = *this; | |
1002 Complex *tmp_data = retval.fortran_vec (); | |
1003 | |
1004 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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1005 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1006 nr, tmp_data, nr, info |
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1007 F77_CHAR_ARG_LEN (1) |
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1008 F77_CHAR_ARG_LEN (1))); |
6207 | 1009 |
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1010 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1011 rcon = 0.0; |
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1012 if (info != 0) |
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1013 info = -1; |
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1014 else if (calc_cond) |
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1015 { |
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1016 octave_idx_type ztrcon_info = 0; |
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1017 char job = '1'; |
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1018 |
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1019 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1020 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1021 |
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1022 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1023 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1024 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1025 nr, tmp_data, nr, rcon, |
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1026 cwork, rwork, ztrcon_info |
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1027 F77_CHAR_ARG_LEN (1) |
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1028 F77_CHAR_ARG_LEN (1) |
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1029 F77_CHAR_ARG_LEN (1))); |
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1030 |
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1031 if (ztrcon_info != 0) |
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1032 info = -1; |
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1033 } |
6207 | 1034 |
1035 if (info == -1 && ! force) | |
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1036 retval = *this; // Restore matrix contents. |
6207 | 1037 } |
1038 | |
1039 return retval; | |
458 | 1040 } |
1041 | |
1042 ComplexMatrix | |
6207 | 1043 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
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1044 double& rcon, int force, int calc_cond) const |
458 | 1045 { |
1948 | 1046 ComplexMatrix retval; |
1047 | |
5275 | 1048 octave_idx_type nr = rows (); |
1049 octave_idx_type nc = cols (); | |
1948 | 1050 |
458 | 1051 if (nr != nc) |
1948 | 1052 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
458 | 1053 else |
1054 { | |
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1055 Array<octave_idx_type> ipvt (nr, 1); |
5275 | 1056 octave_idx_type *pipvt = ipvt.fortran_vec (); |
1948 | 1057 |
1058 retval = *this; | |
1059 Complex *tmp_data = retval.fortran_vec (); | |
1060 | |
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1061 Array<Complex> z(1, 1); |
5275 | 1062 octave_idx_type lwork = -1; |
4330 | 1063 |
1064 // Query the optimum work array size. | |
4329 | 1065 |
1066 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
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1067 z.fortran_vec (), lwork, info)); |
4329 | 1068 |
5315 | 1069 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
4329 | 1070 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1071 z.resize (lwork, 1); |
4329 | 1072 Complex *pz = z.fortran_vec (); |
1073 | |
1074 info = 0; | |
1075 | |
4330 | 1076 // Calculate the norm of the matrix, for later use. |
4329 | 1077 double anorm; |
1078 if (calc_cond) | |
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1079 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
4329 | 1080 |
1081 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
1948 | 1082 |
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1083 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1084 rcon = 0.0; |
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1085 if (info != 0) |
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1086 info = -1; |
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1087 else if (calc_cond) |
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1088 { |
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1089 // Now calculate the condition number for non-singular matrix. |
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1090 octave_idx_type zgecon_info = 0; |
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1091 char job = '1'; |
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1092 Array<double> rz (2 * nc, 1); |
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1093 double *prz = rz.fortran_vec (); |
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1094 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1095 nc, tmp_data, nr, anorm, |
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1096 rcon, pz, prz, zgecon_info |
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1097 F77_CHAR_ARG_LEN (1))); |
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1098 |
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1099 if (zgecon_info != 0) |
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1100 info = -1; |
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1101 } |
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1102 |
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1103 if (info == -1 && ! force) |
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1104 retval = *this; // Restore contents. |
1948 | 1105 else |
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1106 { |
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1107 octave_idx_type zgetri_info = 0; |
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1108 |
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1109 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1110 pz, lwork, zgetri_info)); |
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1111 |
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1112 if (zgetri_info != 0) |
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1113 info = -1; |
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1114 } |
6207 | 1115 |
1116 if (info != 0) | |
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1117 mattype.mark_as_rectangular(); |
458 | 1118 } |
4329 | 1119 |
1948 | 1120 return retval; |
458 | 1121 } |
1122 | |
1123 ComplexMatrix | |
6207 | 1124 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1125 double& rcon, int force, int calc_cond) const |
6207 | 1126 { |
1127 int typ = mattype.type (false); | |
1128 ComplexMatrix ret; | |
1129 | |
1130 if (typ == MatrixType::Unknown) | |
1131 typ = mattype.type (*this); | |
1132 | |
1133 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
7788 | 1134 ret = tinverse (mattype, info, rcon, force, calc_cond); |
6840 | 1135 else |
6207 | 1136 { |
1137 if (mattype.is_hermitian ()) | |
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1138 { |
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1139 ComplexCHOL chol (*this, info, calc_cond); |
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1140 if (info == 0) |
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1141 { |
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1142 if (calc_cond) |
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1143 rcon = chol.rcond(); |
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1144 else |
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1145 rcon = 1.0; |
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1146 ret = chol.inverse (); |
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1147 } |
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1148 else |
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1149 mattype.mark_as_unsymmetric (); |
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1150 } |
6207 | 1151 |
1152 if (!mattype.is_hermitian ()) | |
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1153 ret = finverse(mattype, info, rcon, force, calc_cond); |
7788 | 1154 |
1155 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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1156 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
6207 | 1157 } |
1158 | |
1159 return ret; | |
1160 } | |
1161 | |
1162 ComplexMatrix | |
4384 | 1163 ComplexMatrix::pseudo_inverse (double tol) const |
740 | 1164 { |
1549 | 1165 ComplexMatrix retval; |
1166 | |
3480 | 1167 ComplexSVD result (*this, SVD::economy); |
740 | 1168 |
1169 DiagMatrix S = result.singular_values (); | |
1170 ComplexMatrix U = result.left_singular_matrix (); | |
1171 ComplexMatrix V = result.right_singular_matrix (); | |
1172 | |
1173 ColumnVector sigma = S.diag (); | |
1174 | |
5275 | 1175 octave_idx_type r = sigma.length () - 1; |
1176 octave_idx_type nr = rows (); | |
1177 octave_idx_type nc = cols (); | |
740 | 1178 |
1179 if (tol <= 0.0) | |
1180 { | |
1181 if (nr > nc) | |
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1182 tol = nr * sigma.elem (0) * DBL_EPSILON; |
740 | 1183 else |
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1184 tol = nc * sigma.elem (0) * DBL_EPSILON; |
740 | 1185 } |
1186 | |
1187 while (r >= 0 && sigma.elem (r) < tol) | |
1188 r--; | |
1189 | |
1190 if (r < 0) | |
1549 | 1191 retval = ComplexMatrix (nc, nr, 0.0); |
740 | 1192 else |
1193 { | |
1194 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
1195 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
1196 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
1549 | 1197 retval = Vr * D * Ur.hermitian (); |
740 | 1198 } |
1549 | 1199 |
1200 return retval; | |
740 | 1201 } |
1202 | |
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1203 #if defined (HAVE_FFTW) |
3827 | 1204 |
1205 ComplexMatrix | |
1206 ComplexMatrix::fourier (void) const | |
1207 { | |
1208 size_t nr = rows (); | |
1209 size_t nc = cols (); | |
1210 | |
1211 ComplexMatrix retval (nr, nc); | |
1212 | |
1213 size_t npts, nsamples; | |
1214 | |
1215 if (nr == 1 || nc == 1) | |
1216 { | |
1217 npts = nr > nc ? nr : nc; | |
1218 nsamples = 1; | |
1219 } | |
1220 else | |
1221 { | |
1222 npts = nr; | |
1223 nsamples = nc; | |
1224 } | |
1225 | |
1226 const Complex *in (data ()); | |
1227 Complex *out (retval.fortran_vec ()); | |
1228 | |
4773 | 1229 octave_fftw::fft (in, out, npts, nsamples); |
3827 | 1230 |
1231 return retval; | |
1232 } | |
1233 | |
1234 ComplexMatrix | |
1235 ComplexMatrix::ifourier (void) const | |
1236 { | |
1237 size_t nr = rows (); | |
1238 size_t nc = cols (); | |
1239 | |
1240 ComplexMatrix retval (nr, nc); | |
1241 | |
1242 size_t npts, nsamples; | |
1243 | |
1244 if (nr == 1 || nc == 1) | |
1245 { | |
1246 npts = nr > nc ? nr : nc; | |
1247 nsamples = 1; | |
1248 } | |
1249 else | |
1250 { | |
1251 npts = nr; | |
1252 nsamples = nc; | |
1253 } | |
1254 | |
1255 const Complex *in (data ()); | |
1256 Complex *out (retval.fortran_vec ()); | |
1257 | |
4773 | 1258 octave_fftw::ifft (in, out, npts, nsamples); |
3827 | 1259 |
1260 return retval; | |
1261 } | |
1262 | |
1263 ComplexMatrix | |
1264 ComplexMatrix::fourier2d (void) const | |
1265 { | |
4773 | 1266 dim_vector dv(rows (), cols ()); |
1267 | |
1268 ComplexMatrix retval (rows (), cols ()); | |
1269 const Complex *in (data ()); | |
1270 Complex *out (retval.fortran_vec ()); | |
1271 | |
1272 octave_fftw::fftNd (in, out, 2, dv); | |
3827 | 1273 |
1274 return retval; | |
1275 } | |
1276 | |
1277 ComplexMatrix | |
1278 ComplexMatrix::ifourier2d (void) const | |
1279 { | |
4773 | 1280 dim_vector dv(rows (), cols ()); |
1281 | |
1282 ComplexMatrix retval (rows (), cols ()); | |
1283 const Complex *in (data ()); | |
1284 Complex *out (retval.fortran_vec ()); | |
1285 | |
1286 octave_fftw::ifftNd (in, out, 2, dv); | |
3827 | 1287 |
1288 return retval; | |
1289 } | |
1290 | |
1291 #else | |
1292 | |
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1293 extern "C" |
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1294 { |
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1295 // Note that the original complex fft routines were not written for |
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1296 // double complex arguments. They have been modified by adding an |
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1297 // implicit double precision (a-h,o-z) statement at the beginning of |
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1298 // each subroutine. |
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1299 |
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1300 F77_RET_T |
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1301 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1302 |
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1303 F77_RET_T |
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1304 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1305 |
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1306 F77_RET_T |
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1307 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1308 } |
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1309 |
740 | 1310 ComplexMatrix |
458 | 1311 ComplexMatrix::fourier (void) const |
1312 { | |
1948 | 1313 ComplexMatrix retval; |
1314 | |
5275 | 1315 octave_idx_type nr = rows (); |
1316 octave_idx_type nc = cols (); | |
1317 | |
1318 octave_idx_type npts, nsamples; | |
1948 | 1319 |
458 | 1320 if (nr == 1 || nc == 1) |
1321 { | |
1322 npts = nr > nc ? nr : nc; | |
1323 nsamples = 1; | |
1324 } | |
1325 else | |
1326 { | |
1327 npts = nr; | |
1328 nsamples = nc; | |
1329 } | |
1330 | |
5275 | 1331 octave_idx_type nn = 4*npts+15; |
1948 | 1332 |
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1333 Array<Complex> wsave (nn, 1); |
1948 | 1334 Complex *pwsave = wsave.fortran_vec (); |
1335 | |
1336 retval = *this; | |
1337 Complex *tmp_data = retval.fortran_vec (); | |
1338 | |
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1339 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1340 |
5275 | 1341 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1342 { |
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1343 octave_quit (); |
4153 | 1344 |
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1345 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1346 } |
1948 | 1347 |
1348 return retval; | |
458 | 1349 } |
1350 | |
1351 ComplexMatrix | |
1352 ComplexMatrix::ifourier (void) const | |
1353 { | |
1948 | 1354 ComplexMatrix retval; |
1355 | |
5275 | 1356 octave_idx_type nr = rows (); |
1357 octave_idx_type nc = cols (); | |
1358 | |
1359 octave_idx_type npts, nsamples; | |
1948 | 1360 |
458 | 1361 if (nr == 1 || nc == 1) |
1362 { | |
1363 npts = nr > nc ? nr : nc; | |
1364 nsamples = 1; | |
1365 } | |
1366 else | |
1367 { | |
1368 npts = nr; | |
1369 nsamples = nc; | |
1370 } | |
1371 | |
5275 | 1372 octave_idx_type nn = 4*npts+15; |
1948 | 1373 |
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1374 Array<Complex> wsave (nn, 1); |
1948 | 1375 Complex *pwsave = wsave.fortran_vec (); |
1376 | |
1377 retval = *this; | |
1378 Complex *tmp_data = retval.fortran_vec (); | |
1379 | |
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1380 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1381 |
5275 | 1382 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1383 { |
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1384 octave_quit (); |
4153 | 1385 |
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1386 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1387 } |
458 | 1388 |
5275 | 1389 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1390 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
458 | 1391 |
1948 | 1392 return retval; |
458 | 1393 } |
1394 | |
677 | 1395 ComplexMatrix |
1396 ComplexMatrix::fourier2d (void) const | |
1397 { | |
1948 | 1398 ComplexMatrix retval; |
1399 | |
5275 | 1400 octave_idx_type nr = rows (); |
1401 octave_idx_type nc = cols (); | |
1402 | |
1403 octave_idx_type npts, nsamples; | |
1948 | 1404 |
677 | 1405 if (nr == 1 || nc == 1) |
1406 { | |
1407 npts = nr > nc ? nr : nc; | |
1408 nsamples = 1; | |
1409 } | |
1410 else | |
1411 { | |
1412 npts = nr; | |
1413 nsamples = nc; | |
1414 } | |
1415 | |
5275 | 1416 octave_idx_type nn = 4*npts+15; |
1948 | 1417 |
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1418 Array<Complex> wsave (nn, 1); |
1948 | 1419 Complex *pwsave = wsave.fortran_vec (); |
1420 | |
1421 retval = *this; | |
1422 Complex *tmp_data = retval.fortran_vec (); | |
1423 | |
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1424 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1425 |
5275 | 1426 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1427 { |
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1428 octave_quit (); |
4153 | 1429 |
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1430 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1431 } |
677 | 1432 |
1433 npts = nc; | |
1434 nsamples = nr; | |
1435 nn = 4*npts+15; | |
1948 | 1436 |
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1437 wsave.resize (nn, 1); |
1948 | 1438 pwsave = wsave.fortran_vec (); |
1439 | |
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1440 Array<Complex> tmp (npts, 1); |
4773 | 1441 Complex *prow = tmp.fortran_vec (); |
1948 | 1442 |
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1443 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1444 |
5275 | 1445 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1446 { |
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1447 octave_quit (); |
4153 | 1448 |
5275 | 1449 for (octave_idx_type i = 0; i < npts; i++) |
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1450 prow[i] = tmp_data[i*nr + j]; |
1948 | 1451 |
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1452 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
677 | 1453 |
5275 | 1454 for (octave_idx_type i = 0; i < npts; i++) |
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1455 tmp_data[i*nr + j] = prow[i]; |
677 | 1456 } |
1457 | |
1948 | 1458 return retval; |
677 | 1459 } |
1460 | |
1461 ComplexMatrix | |
1462 ComplexMatrix::ifourier2d (void) const | |
1463 { | |
1948 | 1464 ComplexMatrix retval; |
1465 | |
5275 | 1466 octave_idx_type nr = rows (); |
1467 octave_idx_type nc = cols (); | |
1468 | |
1469 octave_idx_type npts, nsamples; | |
1948 | 1470 |
677 | 1471 if (nr == 1 || nc == 1) |
1472 { | |
1473 npts = nr > nc ? nr : nc; | |
1474 nsamples = 1; | |
1475 } | |
1476 else | |
1477 { | |
1478 npts = nr; | |
1479 nsamples = nc; | |
1480 } | |
1481 | |
5275 | 1482 octave_idx_type nn = 4*npts+15; |
1948 | 1483 |
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1484 Array<Complex> wsave (nn, 1); |
1948 | 1485 Complex *pwsave = wsave.fortran_vec (); |
1486 | |
1487 retval = *this; | |
1488 Complex *tmp_data = retval.fortran_vec (); | |
1489 | |
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1490 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1491 |
5275 | 1492 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1493 { |
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1494 octave_quit (); |
4153 | 1495 |
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|
1496 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1497 } |
677 | 1498 |
5275 | 1499 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1500 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
677 | 1501 |
1502 npts = nc; | |
1503 nsamples = nr; | |
1504 nn = 4*npts+15; | |
1948 | 1505 |
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1506 wsave.resize (nn, 1); |
1948 | 1507 pwsave = wsave.fortran_vec (); |
1508 | |
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1509 Array<Complex> tmp (npts, 1); |
4773 | 1510 Complex *prow = tmp.fortran_vec (); |
1948 | 1511 |
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1512 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1513 |
5275 | 1514 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1515 { |
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1516 octave_quit (); |
4153 | 1517 |
5275 | 1518 for (octave_idx_type i = 0; i < npts; i++) |
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1519 prow[i] = tmp_data[i*nr + j]; |
1948 | 1520 |
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1521 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
677 | 1522 |
5275 | 1523 for (octave_idx_type i = 0; i < npts; i++) |
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1524 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
677 | 1525 } |
1526 | |
1948 | 1527 return retval; |
677 | 1528 } |
1529 | |
3827 | 1530 #endif |
1531 | |
458 | 1532 ComplexDET |
1533 ComplexMatrix::determinant (void) const | |
1534 { | |
5275 | 1535 octave_idx_type info; |
7788 | 1536 double rcon; |
1537 return determinant (info, rcon, 0); | |
458 | 1538 } |
1539 | |
1540 ComplexDET | |
5275 | 1541 ComplexMatrix::determinant (octave_idx_type& info) const |
458 | 1542 { |
7788 | 1543 double rcon; |
1544 return determinant (info, rcon, 0); | |
458 | 1545 } |
1546 | |
1547 ComplexDET | |
7788 | 1548 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
458 | 1549 { |
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1550 MatrixType mattype (*this); |
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1551 return determinant (mattype, info, rcon, calc_cond); |
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1552 } |
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1553 |
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1554 ComplexDET |
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1555 ComplexMatrix::determinant (MatrixType& mattype, |
8806 | 1556 octave_idx_type& info, double& rcon, |
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1557 int calc_cond) const |
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1558 { |
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1559 ComplexDET retval (1.0); |
458 | 1560 |
5275 | 1561 octave_idx_type nr = rows (); |
1562 octave_idx_type nc = cols (); | |
458 | 1563 |
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1564 if (nr != nc) |
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1565 (*current_liboctave_error_handler) ("matrix must be square"); |
458 | 1566 else |
1567 { | |
8806 | 1568 volatile int typ = mattype.type (); |
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1569 |
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|
1570 // Even though the matrix is marked as singular (Rectangular), we may |
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1571 // still get a useful number from the LU factorization, because it always |
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1572 // completes. |
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1573 |
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1574 if (typ == MatrixType::Unknown) |
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1575 typ = mattype.type (*this); |
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1576 else if (typ == MatrixType::Rectangular) |
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1577 typ = MatrixType::Full; |
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1578 |
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1579 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1580 { |
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1581 for (octave_idx_type i = 0; i < nc; i++) |
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1582 retval *= elem (i,i); |
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1583 } |
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1584 else if (typ == MatrixType::Hermitian) |
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1585 { |
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1586 ComplexMatrix atmp = *this; |
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1587 Complex *tmp_data = atmp.fortran_vec (); |
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1588 |
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1589 info = 0; |
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1590 double anorm = 0; |
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1591 if (calc_cond) anorm = xnorm (*this, 1); |
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1592 |
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1593 |
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|
1594 char job = 'L'; |
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|
1595 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1596 tmp_data, nr, info |
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1597 F77_CHAR_ARG_LEN (1))); |
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1598 |
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1599 if (info != 0) |
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|
1600 { |
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1601 rcon = 0.0; |
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1602 mattype.mark_as_unsymmetric (); |
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1603 typ = MatrixType::Full; |
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1604 } |
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1605 else |
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1606 { |
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1607 Array<Complex> z (2 * nc, 1); |
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1608 Complex *pz = z.fortran_vec (); |
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1609 Array<double> rz (nc, 1); |
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1610 double *prz = rz.fortran_vec (); |
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1611 |
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1612 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1613 nr, tmp_data, nr, anorm, |
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1614 rcon, pz, prz, info |
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1615 F77_CHAR_ARG_LEN (1))); |
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1616 |
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1617 if (info != 0) |
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1618 rcon = 0.0; |
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1619 |
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1620 for (octave_idx_type i = 0; i < nc; i++) |
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1621 retval *= atmp (i,i); |
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1622 |
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1623 retval = retval.square (); |
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1624 } |
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1625 } |
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1626 else if (typ != MatrixType::Full) |
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1627 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1628 |
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1629 if (typ == MatrixType::Full) |
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1630 { |
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1631 Array<octave_idx_type> ipvt (nr, 1); |
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1632 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1633 |
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1634 ComplexMatrix atmp = *this; |
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1635 Complex *tmp_data = atmp.fortran_vec (); |
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1636 |
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1637 info = 0; |
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1638 |
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1639 // Calculate the norm of the matrix, for later use. |
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1640 double anorm = 0; |
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1641 if (calc_cond) anorm = xnorm (*this, 1); |
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1642 |
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1643 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1644 |
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1645 // Throw-away extra info LAPACK gives so as to not change output. |
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1646 rcon = 0.0; |
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1647 if (info != 0) |
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|
1648 { |
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|
1649 info = -1; |
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1650 retval = ComplexDET (); |
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1651 } |
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|
1652 else |
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|
1653 { |
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|
1654 if (calc_cond) |
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|
1655 { |
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1656 // Now calc the condition number for non-singular matrix. |
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1657 char job = '1'; |
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|
1658 Array<Complex> z (2 * nc, 1); |
8336
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1659 Complex *pz = z.fortran_vec (); |
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1660 Array<double> rz (2 * nc, 1); |
8336
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1661 double *prz = rz.fortran_vec (); |
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1662 |
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1663 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1664 nc, tmp_data, nr, anorm, |
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1665 rcon, pz, prz, info |
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|
1666 F77_CHAR_ARG_LEN (1))); |
8335 | 1667 } |
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|
1668 |
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|
1669 if (info != 0) |
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|
1670 { |
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|
1671 info = -1; |
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|
1672 retval = ComplexDET (); |
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|
1673 } |
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|
1674 else |
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|
1675 { |
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|
1676 for (octave_idx_type i = 0; i < nc; i++) |
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|
1677 { |
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1678 Complex c = atmp(i,i); |
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1679 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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|
1680 } |
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|
1681 } |
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|
1682 } |
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1683 } |
458 | 1684 } |
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1685 |
458 | 1686 return retval; |
1687 } | |
1688 | |
7788 | 1689 double |
1690 ComplexMatrix::rcond (void) const | |
1691 { | |
1692 MatrixType mattype (*this); | |
1693 return rcond (mattype); | |
1694 } | |
1695 | |
1696 double | |
1697 ComplexMatrix::rcond (MatrixType &mattype) const | |
1698 { | |
1699 double rcon; | |
1700 octave_idx_type nr = rows (); | |
1701 octave_idx_type nc = cols (); | |
1702 | |
1703 if (nr != nc) | |
1704 (*current_liboctave_error_handler) ("matrix must be square"); | |
1705 else if (nr == 0 || nc == 0) | |
1706 rcon = octave_Inf; | |
1707 else | |
1708 { | |
1709 int typ = mattype.type (); | |
1710 | |
1711 if (typ == MatrixType::Unknown) | |
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1712 typ = mattype.type (*this); |
7788 | 1713 |
1714 // Only calculate the condition number for LU/Cholesky | |
1715 if (typ == MatrixType::Upper) | |
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1716 { |
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1717 const Complex *tmp_data = fortran_vec (); |
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1718 octave_idx_type info = 0; |
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1719 char norm = '1'; |
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1720 char uplo = 'U'; |
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1721 char dia = 'N'; |
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1722 |
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1723 Array<Complex> z (2 * nc, 1); |
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1724 Complex *pz = z.fortran_vec (); |
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1725 Array<double> rz (nc, 1); |
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1726 double *prz = rz.fortran_vec (); |
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1727 |
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1728 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1729 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1730 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1731 nr, tmp_data, nr, rcon, |
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1732 pz, prz, info |
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1733 F77_CHAR_ARG_LEN (1) |
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1734 F77_CHAR_ARG_LEN (1) |
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1735 F77_CHAR_ARG_LEN (1))); |
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1736 |
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1737 if (info != 0) |
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1738 rcon = 0; |
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1739 } |
7788 | 1740 else if (typ == MatrixType::Permuted_Upper) |
10314
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1741 (*current_liboctave_error_handler) |
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1742 ("permuted triangular matrix not implemented"); |
7788 | 1743 else if (typ == MatrixType::Lower) |
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1744 { |
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1745 const Complex *tmp_data = fortran_vec (); |
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1746 octave_idx_type info = 0; |
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1747 char norm = '1'; |
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1748 char uplo = 'L'; |
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|
1749 char dia = 'N'; |
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|
1750 |
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|
1751 Array<Complex> z (2 * nc, 1); |
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|
1752 Complex *pz = z.fortran_vec (); |
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1753 Array<double> rz (nc, 1); |
10314
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1754 double *prz = rz.fortran_vec (); |
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1755 |
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1756 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1757 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1758 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1759 nr, tmp_data, nr, rcon, |
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1760 pz, prz, info |
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1761 F77_CHAR_ARG_LEN (1) |
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1762 F77_CHAR_ARG_LEN (1) |
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1763 F77_CHAR_ARG_LEN (1))); |
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1764 |
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1765 if (info != 0) |
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1766 rcon = 0.0; |
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1767 } |
7788 | 1768 else if (typ == MatrixType::Permuted_Lower) |
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1769 (*current_liboctave_error_handler) |
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1770 ("permuted triangular matrix not implemented"); |
7788 | 1771 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
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1772 { |
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1773 double anorm = -1.0; |
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1774 ComplexMatrix atmp = *this; |
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1775 Complex *tmp_data = atmp.fortran_vec (); |
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1776 |
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1777 if (typ == MatrixType::Hermitian) |
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1778 { |
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1779 octave_idx_type info = 0; |
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1780 char job = 'L'; |
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1781 anorm = atmp.abs().sum(). |
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1782 row(static_cast<octave_idx_type>(0)).max(); |
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1783 |
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1784 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1785 tmp_data, nr, info |
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1786 F77_CHAR_ARG_LEN (1))); |
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1787 |
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1788 if (info != 0) |
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1789 { |
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1790 rcon = 0.0; |
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1791 |
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1792 mattype.mark_as_unsymmetric (); |
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1793 typ = MatrixType::Full; |
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1794 } |
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1795 else |
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1796 { |
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1797 Array<Complex> z (2 * nc, 1); |
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1798 Complex *pz = z.fortran_vec (); |
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1799 Array<double> rz (nc, 1); |
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1800 double *prz = rz.fortran_vec (); |
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1801 |
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1802 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1803 nr, tmp_data, nr, anorm, |
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1804 rcon, pz, prz, info |
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1805 F77_CHAR_ARG_LEN (1))); |
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1806 |
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1807 if (info != 0) |
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1808 rcon = 0.0; |
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1809 } |
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1810 } |
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1811 |
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1812 |
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1813 if (typ == MatrixType::Full) |
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1814 { |
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1815 octave_idx_type info = 0; |
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1816 |
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1817 Array<octave_idx_type> ipvt (nr, 1); |
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1818 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1819 |
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1820 if(anorm < 0.) |
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1821 anorm = atmp.abs().sum(). |
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1822 row(static_cast<octave_idx_type>(0)).max(); |
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1823 |
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1824 Array<Complex> z (2 * nc, 1); |
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1825 Complex *pz = z.fortran_vec (); |
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1826 Array<double> rz (2 * nc, 1); |
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1827 double *prz = rz.fortran_vec (); |
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1828 |
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1829 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1830 |
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1831 if (info != 0) |
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1832 { |
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1833 rcon = 0.0; |
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1834 mattype.mark_as_rectangular (); |
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1835 } |
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1836 else |
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1837 { |
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1838 char job = '1'; |
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1839 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1840 nc, tmp_data, nr, anorm, |
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1841 rcon, pz, prz, info |
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1842 F77_CHAR_ARG_LEN (1))); |
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1843 |
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1844 if (info != 0) |
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1845 rcon = 0.0; |
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1846 } |
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1847 } |
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1848 } |
7788 | 1849 else |
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1850 rcon = 0.0; |
7788 | 1851 } |
1852 | |
1853 return rcon; | |
1854 } | |
1855 | |
458 | 1856 ComplexMatrix |
5785 | 1857 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1858 octave_idx_type& info, double& rcon, |
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1859 solve_singularity_handler sing_handler, |
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1860 bool calc_cond, blas_trans_type transt) const |
5785 | 1861 { |
1862 ComplexMatrix retval; | |
1863 | |
1864 octave_idx_type nr = rows (); | |
1865 octave_idx_type nc = cols (); | |
1866 | |
6924 | 1867 if (nr != b.rows ()) |
5785 | 1868 (*current_liboctave_error_handler) |
1869 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1870 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1871 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1872 else |
1873 { | |
1874 volatile int typ = mattype.type (); | |
1875 | |
1876 if (typ == MatrixType::Permuted_Upper || | |
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1877 typ == MatrixType::Upper) |
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1878 { |
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1879 octave_idx_type b_nc = b.cols (); |
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1880 rcon = 1.; |
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1881 info = 0; |
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1882 |
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1883 if (typ == MatrixType::Permuted_Upper) |
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1884 { |
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1885 (*current_liboctave_error_handler) |
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1886 ("permuted triangular matrix not implemented"); |
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1887 } |
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1888 else |
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1889 { |
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1890 const Complex *tmp_data = fortran_vec (); |
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1891 |
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1892 if (calc_cond) |
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1893 { |
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1894 char norm = '1'; |
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1895 char uplo = 'U'; |
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1896 char dia = 'N'; |
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1897 |
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1898 Array<Complex> z (2 * nc, 1); |
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1899 Complex *pz = z.fortran_vec (); |
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1900 Array<double> rz (nc, 1); |
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1901 double *prz = rz.fortran_vec (); |
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1902 |
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1903 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1904 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1905 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1906 nr, tmp_data, nr, rcon, |
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1907 pz, prz, info |
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1908 F77_CHAR_ARG_LEN (1) |
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1909 F77_CHAR_ARG_LEN (1) |
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1910 F77_CHAR_ARG_LEN (1))); |
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1911 |
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1912 if (info != 0) |
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1913 info = -2; |
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1914 |
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1915 volatile double rcond_plus_one = rcon + 1.0; |
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1916 |
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1917 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1918 { |
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1919 info = -2; |
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1920 |
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1921 if (sing_handler) |
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1922 sing_handler (rcon); |
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1923 else |
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1924 (*current_liboctave_error_handler) |
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1925 ("matrix singular to machine precision, rcond = %g", |
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1926 rcon); |
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1927 } |
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1928 } |
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1929 |
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1930 if (info == 0) |
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1931 { |
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1932 retval = b; |
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1933 Complex *result = retval.fortran_vec (); |
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1934 |
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1935 char uplo = 'U'; |
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1936 char trans = get_blas_char (transt); |
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1937 char dia = 'N'; |
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1938 |
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1939 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1940 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1941 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1942 nr, b_nc, tmp_data, nr, |
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1943 result, nr, info |
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1944 F77_CHAR_ARG_LEN (1) |
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1945 F77_CHAR_ARG_LEN (1) |
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1946 F77_CHAR_ARG_LEN (1))); |
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1947 } |
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1948 } |
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1949 } |
5785 | 1950 else |
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1951 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1952 } |
1953 | |
1954 return retval; | |
1955 } | |
1956 | |
1957 ComplexMatrix | |
1958 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
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1959 octave_idx_type& info, double& rcon, |
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1960 solve_singularity_handler sing_handler, |
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1961 bool calc_cond, blas_trans_type transt) const |
5785 | 1962 { |
1963 ComplexMatrix retval; | |
1964 | |
1965 octave_idx_type nr = rows (); | |
1966 octave_idx_type nc = cols (); | |
1967 | |
6924 | 1968 if (nr != b.rows ()) |
5785 | 1969 (*current_liboctave_error_handler) |
1970 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1971 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1972 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1973 else |
1974 { | |
1975 volatile int typ = mattype.type (); | |
1976 | |
1977 if (typ == MatrixType::Permuted_Lower || | |
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1978 typ == MatrixType::Lower) |
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1979 { |
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1980 octave_idx_type b_nc = b.cols (); |
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1981 rcon = 1.; |
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1982 info = 0; |
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1983 |
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1984 if (typ == MatrixType::Permuted_Lower) |
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1985 { |
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1986 (*current_liboctave_error_handler) |
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1987 ("permuted triangular matrix not implemented"); |
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1988 } |
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1989 else |
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1990 { |
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1991 const Complex *tmp_data = fortran_vec (); |
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1992 |
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1993 if (calc_cond) |
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1994 { |
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1995 char norm = '1'; |
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1996 char uplo = 'L'; |
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1997 char dia = 'N'; |
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1998 |
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1999 Array<Complex> z (2 * nc, 1); |
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2000 Complex *pz = z.fortran_vec (); |
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2001 Array<double> rz (nc, 1); |
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2002 double *prz = rz.fortran_vec (); |
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2003 |
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2004 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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2005 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2006 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2007 nr, tmp_data, nr, rcon, |
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2008 pz, prz, info |
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2009 F77_CHAR_ARG_LEN (1) |
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2010 F77_CHAR_ARG_LEN (1) |
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2011 F77_CHAR_ARG_LEN (1))); |
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2012 |
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2013 if (info != 0) |
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2014 info = -2; |
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2015 |
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2016 volatile double rcond_plus_one = rcon + 1.0; |
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2017 |
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2018 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2019 { |
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2020 info = -2; |
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2021 |
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2022 if (sing_handler) |
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2023 sing_handler (rcon); |
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2024 else |
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2025 (*current_liboctave_error_handler) |
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2026 ("matrix singular to machine precision, rcond = %g", |
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2027 rcon); |
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2028 } |
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2029 } |
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2030 |
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2031 if (info == 0) |
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2032 { |
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2033 retval = b; |
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2034 Complex *result = retval.fortran_vec (); |
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2035 |
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2036 char uplo = 'L'; |
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2037 char trans = get_blas_char (transt); |
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2038 char dia = 'N'; |
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2039 |
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2040 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
2041 F77_CONST_CHAR_ARG2 (&trans, 1), |
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2042 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2043 nr, b_nc, tmp_data, nr, |
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2044 result, nr, info |
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2045 F77_CHAR_ARG_LEN (1) |
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2046 F77_CHAR_ARG_LEN (1) |
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2047 F77_CHAR_ARG_LEN (1))); |
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2048 } |
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2049 } |
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2050 } |
5785 | 2051 else |
10314
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2052 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 2053 } |
2054 | |
2055 return retval; | |
2056 } | |
2057 | |
2058 ComplexMatrix | |
2059 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
10314
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2060 octave_idx_type& info, double& rcon, |
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2061 solve_singularity_handler sing_handler, |
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2062 bool calc_cond) const |
5785 | 2063 { |
2064 ComplexMatrix retval; | |
2065 | |
2066 octave_idx_type nr = rows (); | |
2067 octave_idx_type nc = cols (); | |
2068 | |
6924 | 2069 |
2070 if (nr != nc || nr != b.rows ()) | |
5785 | 2071 (*current_liboctave_error_handler) |
6924 | 2072 ("matrix dimension mismatch solution of linear equations"); |
2073 else if (nr == 0 || b.cols () == 0) | |
2074 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2075 else |
2076 { | |
2077 volatile int typ = mattype.type (); | |
2078 | |
2079 // Calculate the norm of the matrix, for later use. | |
2080 double anorm = -1.; | |
2081 | |
2082 if (typ == MatrixType::Hermitian) | |
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2083 { |
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2084 info = 0; |
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2085 char job = 'L'; |
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2086 ComplexMatrix atmp = *this; |
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2087 Complex *tmp_data = atmp.fortran_vec (); |
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2088 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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2089 |
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2090 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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2091 tmp_data, nr, info |
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2092 F77_CHAR_ARG_LEN (1))); |
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2093 |
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2094 // Throw-away extra info LAPACK gives so as to not change output. |
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2095 rcon = 0.0; |
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2096 if (info != 0) |
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2097 { |
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2098 info = -2; |
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2099 |
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2100 mattype.mark_as_unsymmetric (); |
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2101 typ = MatrixType::Full; |
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2102 } |
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2103 else |
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2104 { |
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2105 if (calc_cond) |
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2106 { |
10350
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2107 Array<Complex> z (2 * nc, 1); |
10314
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2108 Complex *pz = z.fortran_vec (); |
10350
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2109 Array<double> rz (nc, 1); |
10314
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2110 double *prz = rz.fortran_vec (); |
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2111 |
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2112 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2113 nr, tmp_data, nr, anorm, |
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2114 rcon, pz, prz, info |
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2115 F77_CHAR_ARG_LEN (1))); |
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2116 |
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2117 if (info != 0) |
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2118 info = -2; |
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|
2119 |
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2120 volatile double rcond_plus_one = rcon + 1.0; |
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2121 |
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2122 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
2123 { |
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|
2124 info = -2; |
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|
2125 |
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|
2126 if (sing_handler) |
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|
2127 sing_handler (rcon); |
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|
2128 else |
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|
2129 (*current_liboctave_error_handler) |
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2130 ("matrix singular to machine precision, rcond = %g", |
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|
2131 rcon); |
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|
2132 } |
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|
2133 } |
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|
2134 |
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2135 if (info == 0) |
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|
2136 { |
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|
2137 retval = b; |
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|
2138 Complex *result = retval.fortran_vec (); |
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2139 |
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|
2140 octave_idx_type b_nc = b.cols (); |
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|
2141 |
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|
2142 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
2143 nr, b_nc, tmp_data, nr, |
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|
2144 result, b.rows(), info |
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|
2145 F77_CHAR_ARG_LEN (1))); |
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|
2146 } |
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|
2147 else |
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|
2148 { |
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|
2149 mattype.mark_as_unsymmetric (); |
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2150 typ = MatrixType::Full; |
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|
2151 } |
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|
2152 } |
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|
2153 } |
5785 | 2154 |
2155 if (typ == MatrixType::Full) | |
10314
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|
2156 { |
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|
2157 info = 0; |
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2158 |
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|
2159 Array<octave_idx_type> ipvt (nr, 1); |
10314
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|
2160 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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2161 |
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2162 ComplexMatrix atmp = *this; |
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2163 Complex *tmp_data = atmp.fortran_vec (); |
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2164 |
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|
2165 Array<Complex> z (2 * nc, 1); |
10314
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2166 Complex *pz = z.fortran_vec (); |
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2167 Array<double> rz (2 * nc, 1); |
10314
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|
2168 double *prz = rz.fortran_vec (); |
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2169 |
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|
2170 // Calculate the norm of the matrix, for later use. |
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2171 if (anorm < 0.) |
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2172 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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2173 |
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|
2174 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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2175 |
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|
2176 // Throw-away extra info LAPACK gives so as to not change output. |
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2177 rcon = 0.0; |
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2178 if (info != 0) |
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|
2179 { |
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|
2180 info = -2; |
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|
2181 |
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2182 if (sing_handler) |
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|
2183 sing_handler (rcon); |
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|
2184 else |
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|
2185 (*current_liboctave_error_handler) |
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|
2186 ("matrix singular to machine precision"); |
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|
2187 |
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2188 mattype.mark_as_rectangular (); |
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2189 } |
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2190 else |
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2191 { |
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2192 if (calc_cond) |
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2193 { |
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2194 // Now calculate the condition number for |
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2195 // non-singular matrix. |
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2196 char job = '1'; |
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2197 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2198 nc, tmp_data, nr, anorm, |
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2199 rcon, pz, prz, info |
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2200 F77_CHAR_ARG_LEN (1))); |
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2201 |
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2202 if (info != 0) |
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2203 info = -2; |
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2204 |
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2205 volatile double rcond_plus_one = rcon + 1.0; |
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2206 |
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2207 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2208 { |
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2209 info = -2; |
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2210 |
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2211 if (sing_handler) |
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2212 sing_handler (rcon); |
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2213 else |
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2214 (*current_liboctave_error_handler) |
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2215 ("matrix singular to machine precision, rcond = %g", |
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2216 rcon); |
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2217 } |
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2218 } |
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2219 |
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2220 if (info == 0) |
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2221 { |
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2222 retval = b; |
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2223 Complex *result = retval.fortran_vec (); |
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2224 |
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2225 octave_idx_type b_nc = b.cols (); |
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2226 |
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2227 char job = 'N'; |
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2228 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2229 nr, b_nc, tmp_data, nr, |
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2230 pipvt, result, b.rows(), info |
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2231 F77_CHAR_ARG_LEN (1))); |
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2232 } |
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2233 else |
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2234 mattype.mark_as_rectangular (); |
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2235 } |
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2236 } |
5785 | 2237 } |
2238 | |
2239 return retval; | |
2240 } | |
2241 | |
2242 ComplexMatrix | |
2243 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
2244 { | |
2245 octave_idx_type info; | |
7788 | 2246 double rcon; |
2247 return solve (typ, b, info, rcon, 0); | |
5785 | 2248 } |
2249 | |
2250 ComplexMatrix | |
2251 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
10314
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2252 octave_idx_type& info) const |
5785 | 2253 { |
7788 | 2254 double rcon; |
2255 return solve (typ, b, info, rcon, 0); | |
5785 | 2256 } |
2257 | |
2258 ComplexMatrix | |
2259 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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2260 double& rcon) const |
5785 | 2261 { |
7788 | 2262 return solve (typ, b, info, rcon, 0); |
5785 | 2263 } |
2264 | |
2265 ComplexMatrix | |
2266 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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2267 double& rcon, solve_singularity_handler sing_handler, |
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2268 bool singular_fallback, blas_trans_type transt) const |
5785 | 2269 { |
2270 ComplexMatrix tmp (b); | |
9661
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2271 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
5785 | 2272 } |
2273 | |
2274 ComplexMatrix | |
2275 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
2276 { | |
2277 octave_idx_type info; | |
7788 | 2278 double rcon; |
2279 return solve (typ, b, info, rcon, 0); | |
5785 | 2280 } |
2281 | |
2282 ComplexMatrix | |
2283 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
10314
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2284 octave_idx_type& info) const |
5785 | 2285 { |
7788 | 2286 double rcon; |
2287 return solve (typ, b, info, rcon, 0); | |
5785 | 2288 } |
2289 | |
2290 ComplexMatrix | |
2291 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
10314
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2292 octave_idx_type& info, double& rcon) const |
5785 | 2293 { |
7788 | 2294 return solve (typ, b, info, rcon, 0); |
5785 | 2295 } |
2296 | |
2297 ComplexMatrix | |
2298 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
10314
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2299 octave_idx_type& info, double& rcon, |
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2300 solve_singularity_handler sing_handler, |
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2301 bool singular_fallback, blas_trans_type transt) const |
5785 | 2302 { |
2303 ComplexMatrix retval; | |
2304 int typ = mattype.type (); | |
2305 | |
2306 if (typ == MatrixType::Unknown) | |
2307 typ = mattype.type (*this); | |
2308 | |
2309 // Only calculate the condition number for LU/Cholesky | |
2310 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
9661
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2311 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
5785 | 2312 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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2313 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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2314 else if (transt == blas_trans) |
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2315 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
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2316 else if (transt == blas_conj_trans) |
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2317 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
5785 | 2318 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
7788 | 2319 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
5785 | 2320 else if (typ != MatrixType::Rectangular) |
2321 { | |
2322 (*current_liboctave_error_handler) ("unknown matrix type"); | |
2323 return ComplexMatrix (); | |
2324 } | |
2325 | |
2326 // Rectangular or one of the above solvers flags a singular matrix | |
2327 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
2328 { | |
2329 octave_idx_type rank; | |
7788 | 2330 retval = lssolve (b, info, rank, rcon); |
5785 | 2331 } |
2332 | |
2333 return retval; | |
2334 } | |
2335 | |
2336 ComplexColumnVector | |
2337 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
2338 { | |
2339 octave_idx_type info; | |
7788 | 2340 double rcon; |
2341 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2342 } |
2343 | |
2344 ComplexColumnVector | |
2345 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
10314
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2346 octave_idx_type& info) const |
5785 | 2347 { |
7788 | 2348 double rcon; |
2349 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2350 } |
2351 | |
2352 ComplexColumnVector | |
2353 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2354 octave_idx_type& info, double& rcon) const |
5785 | 2355 { |
7788 | 2356 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
5785 | 2357 } |
2358 | |
2359 ComplexColumnVector | |
2360 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2361 octave_idx_type& info, double& rcon, |
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2362 solve_singularity_handler sing_handler, blas_trans_type transt) const |
5785 | 2363 { |
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2364 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
5785 | 2365 } |
2366 | |
2367 ComplexColumnVector | |
2368 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
2369 { | |
2370 octave_idx_type info; | |
7788 | 2371 double rcon; |
2372 return solve (typ, b, info, rcon, 0); | |
5785 | 2373 } |
2374 | |
2375 ComplexColumnVector | |
2376 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
10314
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2377 octave_idx_type& info) const |
5785 | 2378 { |
7788 | 2379 double rcon; |
2380 return solve (typ, b, info, rcon, 0); | |
5785 | 2381 } |
2382 | |
2383 ComplexColumnVector | |
2384 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2385 octave_idx_type& info, double& rcon) const |
5785 | 2386 { |
7788 | 2387 return solve (typ, b, info, rcon, 0); |
5785 | 2388 } |
2389 | |
2390 ComplexColumnVector | |
2391 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2392 octave_idx_type& info, double& rcon, |
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2393 solve_singularity_handler sing_handler, blas_trans_type transt) const |
5785 | 2394 { |
2395 | |
2396 ComplexMatrix tmp (b); | |
10352 | 2397 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
2398 return tmp.column(static_cast<octave_idx_type> (0)); | |
5785 | 2399 } |
2400 | |
2401 ComplexMatrix | |
458 | 2402 ComplexMatrix::solve (const Matrix& b) const |
2403 { | |
5275 | 2404 octave_idx_type info; |
7788 | 2405 double rcon; |
2406 return solve (b, info, rcon, 0); | |
458 | 2407 } |
2408 | |
2409 ComplexMatrix | |
5275 | 2410 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
458 | 2411 { |
7788 | 2412 double rcon; |
2413 return solve (b, info, rcon, 0); | |
458 | 2414 } |
2415 | |
2416 ComplexMatrix | |
7788 | 2417 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
458 | 2418 { |
7788 | 2419 return solve (b, info, rcon, 0); |
3480 | 2420 } |
2421 | |
2422 ComplexMatrix | |
7788 | 2423 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2424 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2425 { |
458 | 2426 ComplexMatrix tmp (b); |
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2427 return solve (tmp, info, rcon, sing_handler, transt); |
458 | 2428 } |
2429 | |
2430 ComplexMatrix | |
2431 ComplexMatrix::solve (const ComplexMatrix& b) const | |
2432 { | |
5275 | 2433 octave_idx_type info; |
7788 | 2434 double rcon; |
2435 return solve (b, info, rcon, 0); | |
458 | 2436 } |
2437 | |
2438 ComplexMatrix | |
5275 | 2439 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2440 { |
7788 | 2441 double rcon; |
2442 return solve (b, info, rcon, 0); | |
458 | 2443 } |
3480 | 2444 |
458 | 2445 ComplexMatrix |
7788 | 2446 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
458 | 2447 { |
7788 | 2448 return solve (b, info, rcon, 0); |
3480 | 2449 } |
2450 | |
2451 ComplexMatrix | |
7788 | 2452 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
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2453 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2454 { |
5785 | 2455 MatrixType mattype (*this); |
9661
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2456 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
458 | 2457 } |
2458 | |
2459 ComplexColumnVector | |
3585 | 2460 ComplexMatrix::solve (const ColumnVector& b) const |
2461 { | |
5275 | 2462 octave_idx_type info; |
7788 | 2463 double rcon; |
2464 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2465 } |
2466 | |
2467 ComplexColumnVector | |
5275 | 2468 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2469 { |
7788 | 2470 double rcon; |
2471 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2472 } |
2473 | |
2474 ComplexColumnVector | |
5785 | 2475 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2476 double& rcon) const |
3585 | 2477 { |
7788 | 2478 return solve (ComplexColumnVector (b), info, rcon, 0); |
3585 | 2479 } |
2480 | |
2481 ComplexColumnVector | |
5785 | 2482 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2483 double& rcon, |
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2484 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3585 | 2485 { |
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2486 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
3585 | 2487 } |
2488 | |
2489 ComplexColumnVector | |
458 | 2490 ComplexMatrix::solve (const ComplexColumnVector& b) const |
2491 { | |
5275 | 2492 octave_idx_type info; |
7788 | 2493 double rcon; |
2494 return solve (b, info, rcon, 0); | |
458 | 2495 } |
2496 | |
2497 ComplexColumnVector | |
5275 | 2498 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2499 { |
7788 | 2500 double rcon; |
2501 return solve (b, info, rcon, 0); | |
458 | 2502 } |
2503 | |
2504 ComplexColumnVector | |
5275 | 2505 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2506 double& rcon) const |
458 | 2507 { |
7788 | 2508 return solve (b, info, rcon, 0); |
3480 | 2509 } |
2510 | |
2511 ComplexColumnVector | |
5275 | 2512 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2513 double& rcon, |
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2514 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2515 { |
5785 | 2516 MatrixType mattype (*this); |
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2517 return solve (mattype, b, info, rcon, sing_handler, transt); |
458 | 2518 } |
2519 | |
2520 ComplexMatrix | |
3585 | 2521 ComplexMatrix::lssolve (const Matrix& b) const |
2522 { | |
5275 | 2523 octave_idx_type info; |
2524 octave_idx_type rank; | |
7788 | 2525 double rcon; |
2526 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2527 } |
2528 | |
2529 ComplexMatrix | |
5275 | 2530 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
3585 | 2531 { |
5275 | 2532 octave_idx_type rank; |
7788 | 2533 double rcon; |
2534 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2535 } |
2536 | |
2537 ComplexMatrix | |
7076 | 2538 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
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2539 octave_idx_type& rank) const |
3585 | 2540 { |
7788 | 2541 double rcon; |
2542 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
7076 | 2543 } |
2544 | |
2545 ComplexMatrix | |
2546 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2547 octave_idx_type& rank, double& rcon) const |
7076 | 2548 { |
7788 | 2549 return lssolve (ComplexMatrix (b), info, rank, rcon); |
3585 | 2550 } |
2551 | |
2552 ComplexMatrix | |
458 | 2553 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
2554 { | |
5275 | 2555 octave_idx_type info; |
2556 octave_idx_type rank; | |
7788 | 2557 double rcon; |
2558 return lssolve (b, info, rank, rcon); | |
458 | 2559 } |
2560 | |
2561 ComplexMatrix | |
5275 | 2562 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2563 { |
5275 | 2564 octave_idx_type rank; |
7788 | 2565 double rcon; |
2566 return lssolve (b, info, rank, rcon); | |
458 | 2567 } |
2568 | |
2569 ComplexMatrix | |
7076 | 2570 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2571 octave_idx_type& rank) const |
7076 | 2572 { |
7788 | 2573 double rcon; |
2574 return lssolve (b, info, rank, rcon); | |
7076 | 2575 } |
2576 | |
2577 ComplexMatrix | |
2578 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
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2579 octave_idx_type& rank, double& rcon) const |
458 | 2580 { |
1948 | 2581 ComplexMatrix retval; |
2582 | |
5275 | 2583 octave_idx_type nrhs = b.cols (); |
2584 | |
2585 octave_idx_type m = rows (); | |
2586 octave_idx_type n = cols (); | |
458 | 2587 |
6924 | 2588 if (m != b.rows ()) |
1948 | 2589 (*current_liboctave_error_handler) |
2590 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2591 else if (m== 0 || n == 0 || b.cols () == 0) |
2592 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
1948 | 2593 else |
458 | 2594 { |
7072 | 2595 volatile octave_idx_type minmn = (m < n ? m : n); |
2596 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2597 rcon = -1.0; |
7072 | 2598 |
2599 if (m != n) | |
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2600 { |
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2601 retval = ComplexMatrix (maxmn, nrhs); |
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2602 |
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2603 for (octave_idx_type j = 0; j < nrhs; j++) |
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2604 for (octave_idx_type i = 0; i < m; i++) |
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2605 retval.elem (i, j) = b.elem (i, j); |
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2606 } |
7072 | 2607 else |
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2608 retval = b; |
7072 | 2609 |
1948 | 2610 ComplexMatrix atmp = *this; |
2611 Complex *tmp_data = atmp.fortran_vec (); | |
2612 | |
7072 | 2613 Complex *pretval = retval.fortran_vec (); |
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2614 Array<double> s (minmn, 1); |
7071 | 2615 double *ps = s.fortran_vec (); |
2563 | 2616 |
7072 | 2617 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2618 octave_idx_type lwork = -1; |
3752 | 2619 |
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2620 Array<Complex> work (1, 1); |
7079 | 2621 |
7477 | 2622 octave_idx_type smlsiz; |
2623 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
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2624 F77_CONST_CHAR_ARG2 (" ", 1), |
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2625 0, 0, 0, 0, smlsiz |
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2626 F77_CHAR_ARG_LEN (6) |
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2627 F77_CHAR_ARG_LEN (1)); |
7079 | 2628 |
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2629 octave_idx_type mnthr; |
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2630 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2631 F77_CONST_CHAR_ARG2 (" ", 1), |
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2632 m, n, nrhs, -1, mnthr |
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2633 F77_CHAR_ARG_LEN (6) |
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2634 F77_CHAR_ARG_LEN (1)); |
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2635 |
7079 | 2636 // We compute the size of rwork and iwork because ZGELSD in |
2637 // older versions of LAPACK does not return them on a query | |
2638 // call. | |
7124 | 2639 double dminmn = static_cast<double> (minmn); |
2640 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
7079 | 2641 #if defined (HAVE_LOG2) |
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2642 double tmp = log2 (dminmn / dsmlsizp1); |
7079 | 2643 #else |
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2644 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
7079 | 2645 #endif |
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2646 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2647 if (nlvl < 0) |
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2648 nlvl = 0; |
7079 | 2649 |
2650 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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2651 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
7079 | 2652 if (lrwork < 1) |
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2653 lrwork = 1; |
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2654 Array<double> rwork (lrwork, 1); |
7079 | 2655 double *prwork = rwork.fortran_vec (); |
2656 | |
2657 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2658 if (liwork < 1) | |
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2659 liwork = 1; |
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2660 Array<octave_idx_type> iwork (liwork, 1); |
7079 | 2661 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2662 |
2663 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2664 ps, rcon, rank, work.fortran_vec (), |
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2665 lwork, prwork, piwork, info)); |
1948 | 2666 |
7476 | 2667 // The workspace query is broken in at least LAPACK 3.0.0 |
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2668 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2669 // should provide sufficient workspace for ZGELSD to operate |
7476 | 2670 // efficiently. |
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2671 if (n >= mnthr) |
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2672 { |
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2673 octave_idx_type addend = m; |
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2674 |
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2675 if (2*m-4 > addend) |
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2676 addend = 2*m-4; |
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2677 |
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2678 if (nrhs > addend) |
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2679 addend = nrhs; |
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2680 |
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2681 if (n-3*m > addend) |
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2682 addend = n-3*m; |
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2683 |
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2684 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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2685 |
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2686 if (std::real (work(0)) < lworkaround) |
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2687 work(0) = lworkaround; |
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2688 } |
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2689 else if (m >= n) |
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2690 { |
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2691 octave_idx_type lworkaround = 2*m + m*nrhs; |
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2692 |
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2693 if (std::real (work(0)) < lworkaround) |
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2694 work(0) = lworkaround; |
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2695 } |
7476 | 2696 |
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2697 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2698 work.resize (lwork, 1); |
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2699 |
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2700 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2701 maxmn, ps, rcon, rank, |
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2702 work.fortran_vec (), lwork, |
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2703 prwork, piwork, info)); |
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2704 |
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2705 if (rank < minmn) |
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2706 (*current_liboctave_warning_handler) |
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2707 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
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2708 m, n, rank, rcon); |
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2709 |
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2710 if (s.elem (0) == 0.0) |
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2711 rcon = 0.0; |
1948 | 2712 else |
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2713 rcon = s.elem (minmn - 1) / s.elem (0); |
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2714 |
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2715 retval.resize (n, nrhs); |
458 | 2716 } |
2717 | |
2718 return retval; | |
2719 } | |
2720 | |
2721 ComplexColumnVector | |
3585 | 2722 ComplexMatrix::lssolve (const ColumnVector& b) const |
2723 { | |
5275 | 2724 octave_idx_type info; |
2725 octave_idx_type rank; | |
7788 | 2726 double rcon; |
2727 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2728 } |
2729 | |
2730 ComplexColumnVector | |
5275 | 2731 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2732 { |
5275 | 2733 octave_idx_type rank; |
7788 | 2734 double rcon; |
2735 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2736 } |
2737 | |
2738 ComplexColumnVector | |
7076 | 2739 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
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2740 octave_idx_type& rank) const |
3585 | 2741 { |
7788 | 2742 double rcon; |
2743 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
7076 | 2744 } |
2745 | |
2746 ComplexColumnVector | |
2747 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
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2748 octave_idx_type& rank, double& rcon) const |
7076 | 2749 { |
7788 | 2750 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
3585 | 2751 } |
2752 | |
2753 ComplexColumnVector | |
458 | 2754 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
2755 { | |
5275 | 2756 octave_idx_type info; |
2757 octave_idx_type rank; | |
7788 | 2758 double rcon; |
2759 return lssolve (b, info, rank, rcon); | |
458 | 2760 } |
2761 | |
2762 ComplexColumnVector | |
5275 | 2763 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2764 { |
5275 | 2765 octave_idx_type rank; |
7788 | 2766 double rcon; |
2767 return lssolve (b, info, rank, rcon); | |
458 | 2768 } |
2769 | |
2770 ComplexColumnVector | |
5275 | 2771 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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2772 octave_idx_type& rank) const |
458 | 2773 { |
7788 | 2774 double rcon; |
2775 return lssolve (b, info, rank, rcon); | |
7076 | 2776 |
2777 } | |
2778 | |
2779 ComplexColumnVector | |
2780 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
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2781 octave_idx_type& rank, double& rcon) const |
7076 | 2782 { |
1948 | 2783 ComplexColumnVector retval; |
2784 | |
5275 | 2785 octave_idx_type nrhs = 1; |
2786 | |
2787 octave_idx_type m = rows (); | |
2788 octave_idx_type n = cols (); | |
458 | 2789 |
6924 | 2790 if (m != b.length ()) |
1948 | 2791 (*current_liboctave_error_handler) |
6924 | 2792 ("matrix dimension mismatch solution of linear equations"); |
2793 else if (m == 0 || n == 0 || b.cols () == 0) | |
2794 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
1948 | 2795 else |
458 | 2796 { |
7072 | 2797 volatile octave_idx_type minmn = (m < n ? m : n); |
2798 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2799 rcon = -1.0; |
7072 | 2800 |
2801 if (m != n) | |
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2802 { |
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2803 retval = ComplexColumnVector (maxmn); |
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2804 |
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2805 for (octave_idx_type i = 0; i < m; i++) |
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2806 retval.elem (i) = b.elem (i); |
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2807 } |
7072 | 2808 else |
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2809 retval = b; |
7072 | 2810 |
1948 | 2811 ComplexMatrix atmp = *this; |
2812 Complex *tmp_data = atmp.fortran_vec (); | |
2813 | |
7072 | 2814 Complex *pretval = retval.fortran_vec (); |
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2815 Array<double> s (minmn, 1); |
7071 | 2816 double *ps = s.fortran_vec (); |
1948 | 2817 |
7072 | 2818 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2819 octave_idx_type lwork = -1; |
3752 | 2820 |
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2821 Array<Complex> work (1, 1); |
7079 | 2822 |
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2823 octave_idx_type smlsiz; |
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2824 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2825 F77_CONST_CHAR_ARG2 (" ", 1), |
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2826 0, 0, 0, 0, smlsiz |
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2827 F77_CHAR_ARG_LEN (6) |
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2828 F77_CHAR_ARG_LEN (1)); |
7079 | 2829 |
2830 // We compute the size of rwork and iwork because ZGELSD in | |
2831 // older versions of LAPACK does not return them on a query | |
2832 // call. | |
7124 | 2833 double dminmn = static_cast<double> (minmn); |
2834 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
7079 | 2835 #if defined (HAVE_LOG2) |
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2836 double tmp = log2 (dminmn / dsmlsizp1); |
7079 | 2837 #else |
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2838 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
7079 | 2839 #endif |
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2840 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2841 if (nlvl < 0) |
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2842 nlvl = 0; |
7079 | 2843 |
2844 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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2845 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
7079 | 2846 if (lrwork < 1) |
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2847 lrwork = 1; |
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2848 Array<double> rwork (lrwork, 1); |
7079 | 2849 double *prwork = rwork.fortran_vec (); |
2850 | |
2851 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2852 if (liwork < 1) | |
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2853 liwork = 1; |
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2854 Array<octave_idx_type> iwork (liwork, 1); |
7079 | 2855 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2856 |
2857 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2858 ps, rcon, rank, work.fortran_vec (), |
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2859 lwork, prwork, piwork, info)); |
1948 | 2860 |
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2861 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2862 work.resize (lwork, 1); |
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2863 rwork.resize (static_cast<octave_idx_type> (rwork(0)), 1); |
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2864 iwork.resize (iwork(0), 1); |
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|
2865 |
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|
2866 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
10314
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2867 maxmn, ps, rcon, rank, |
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2868 work.fortran_vec (), lwork, |
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|
2869 prwork, piwork, info)); |
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|
2870 |
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|
2871 if (rank < minmn) |
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|
2872 { |
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2873 if (rank < minmn) |
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|
2874 (*current_liboctave_warning_handler) |
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|
2875 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
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changeset
|
2876 m, n, rank, rcon); |
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|
2877 |
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2878 if (s.elem (0) == 0.0) |
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|
2879 rcon = 0.0; |
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|
2880 else |
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2881 rcon = s.elem (minmn - 1) / s.elem (0); |
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2882 |
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2883 retval.resize (n, nrhs); |
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|
2884 } |
458 | 2885 } |
2886 | |
2887 return retval; | |
2888 } | |
2889 | |
1205 | 2890 // column vector by row vector -> matrix operations |
2891 | |
2892 ComplexMatrix | |
2893 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
2894 { | |
2895 ComplexColumnVector tmp (v); | |
2896 return tmp * a; | |
2897 } | |
2898 | |
2899 ComplexMatrix | |
2900 operator * (const ComplexColumnVector& a, const RowVector& b) | |
2901 { | |
2902 ComplexRowVector tmp (b); | |
2903 return a * tmp; | |
2904 } | |
2905 | |
2906 ComplexMatrix | |
2907 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
2908 { | |
1948 | 2909 ComplexMatrix retval; |
2910 | |
5275 | 2911 octave_idx_type len = v.length (); |
3233 | 2912 |
2913 if (len != 0) | |
1205 | 2914 { |
5275 | 2915 octave_idx_type a_len = a.length (); |
3233 | 2916 |
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2917 retval = ComplexMatrix (len, a_len); |
3233 | 2918 Complex *c = retval.fortran_vec (); |
2919 | |
4552 | 2920 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
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|
2921 F77_CONST_CHAR_ARG2 ("N", 1), |
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2922 len, a_len, 1, 1.0, v.data (), len, |
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2923 a.data (), 1, 0.0, c, len |
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2924 F77_CHAR_ARG_LEN (1) |
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2925 F77_CHAR_ARG_LEN (1))); |
1205 | 2926 } |
2927 | |
1948 | 2928 return retval; |
1205 | 2929 } |
2930 | |
458 | 2931 // matrix by diagonal matrix -> matrix operations |
2932 | |
2933 ComplexMatrix& | |
2934 ComplexMatrix::operator += (const DiagMatrix& a) | |
2935 { | |
5275 | 2936 octave_idx_type nr = rows (); |
2937 octave_idx_type nc = cols (); | |
2938 | |
2939 octave_idx_type a_nr = rows (); | |
2940 octave_idx_type a_nc = cols (); | |
2384 | 2941 |
2942 if (nr != a_nr || nc != a_nc) | |
458 | 2943 { |
2384 | 2944 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2945 return *this; |
458 | 2946 } |
2947 | |
5275 | 2948 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2949 elem (i, i) += a.elem (i, i); |
2950 | |
2951 return *this; | |
2952 } | |
2953 | |
2954 ComplexMatrix& | |
2955 ComplexMatrix::operator -= (const DiagMatrix& a) | |
2956 { | |
5275 | 2957 octave_idx_type nr = rows (); |
2958 octave_idx_type nc = cols (); | |
2959 | |
2960 octave_idx_type a_nr = rows (); | |
2961 octave_idx_type a_nc = cols (); | |
2384 | 2962 |
2963 if (nr != a_nr || nc != a_nc) | |
458 | 2964 { |
2384 | 2965 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 2966 return *this; |
458 | 2967 } |
2968 | |
5275 | 2969 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2970 elem (i, i) -= a.elem (i, i); |
2971 | |
2972 return *this; | |
2973 } | |
2974 | |
2975 ComplexMatrix& | |
2976 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
2977 { | |
5275 | 2978 octave_idx_type nr = rows (); |
2979 octave_idx_type nc = cols (); | |
2980 | |
2981 octave_idx_type a_nr = rows (); | |
2982 octave_idx_type a_nc = cols (); | |
2384 | 2983 |
2984 if (nr != a_nr || nc != a_nc) | |
458 | 2985 { |
2384 | 2986 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2987 return *this; |
458 | 2988 } |
2989 | |
5275 | 2990 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2991 elem (i, i) += a.elem (i, i); |
2992 | |
2993 return *this; | |
2994 } | |
2995 | |
2996 ComplexMatrix& | |
2997 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
2998 { | |
5275 | 2999 octave_idx_type nr = rows (); |
3000 octave_idx_type nc = cols (); | |
3001 | |
3002 octave_idx_type a_nr = rows (); | |
3003 octave_idx_type a_nc = cols (); | |
2384 | 3004 |
3005 if (nr != a_nr || nc != a_nc) | |
458 | 3006 { |
2384 | 3007 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3008 return *this; |
458 | 3009 } |
3010 | |
5275 | 3011 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3012 elem (i, i) -= a.elem (i, i); |
3013 | |
3014 return *this; | |
3015 } | |
3016 | |
3017 // matrix by matrix -> matrix operations | |
3018 | |
3019 ComplexMatrix& | |
3020 ComplexMatrix::operator += (const Matrix& a) | |
3021 { | |
5275 | 3022 octave_idx_type nr = rows (); |
3023 octave_idx_type nc = cols (); | |
3024 | |
3025 octave_idx_type a_nr = a.rows (); | |
3026 octave_idx_type a_nc = a.cols (); | |
2384 | 3027 |
3028 if (nr != a_nr || nc != a_nc) | |
458 | 3029 { |
2384 | 3030 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
458 | 3031 return *this; |
3032 } | |
3033 | |
3034 if (nr == 0 || nc == 0) | |
3035 return *this; | |
3036 | |
3037 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3038 | |
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|
3039 mx_inline_add2 (length (), d, a.data ()); |
458 | 3040 return *this; |
3041 } | |
3042 | |
3043 ComplexMatrix& | |
3044 ComplexMatrix::operator -= (const Matrix& a) | |
3045 { | |
5275 | 3046 octave_idx_type nr = rows (); |
3047 octave_idx_type nc = cols (); | |
3048 | |
3049 octave_idx_type a_nr = a.rows (); | |
3050 octave_idx_type a_nc = a.cols (); | |
2384 | 3051 |
3052 if (nr != a_nr || nc != a_nc) | |
458 | 3053 { |
2384 | 3054 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
458 | 3055 return *this; |
3056 } | |
3057 | |
3058 if (nr == 0 || nc == 0) | |
3059 return *this; | |
3060 | |
3061 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3062 | |
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|
3063 mx_inline_sub2 (length (), d, a.data ()); |
458 | 3064 return *this; |
3065 } | |
3066 | |
3067 // unary operations | |
3068 | |
2964 | 3069 boolMatrix |
458 | 3070 ComplexMatrix::operator ! (void) const |
3071 { | |
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Jaroslav Hajek <highegg@gmail.com>
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|
3072 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
458 | 3073 } |
3074 | |
3075 // other operations | |
3076 | |
2384 | 3077 bool |
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3078 ComplexMatrix::any_element_is_nan (void) const |
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|
3079 { |
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|
3080 octave_idx_type nr = rows (); |
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3081 octave_idx_type nc = cols (); |
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|
3082 |
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3083 for (octave_idx_type j = 0; j < nc; j++) |
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3084 for (octave_idx_type i = 0; i < nr; i++) |
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John W. Eaton <jwe@octave.org>
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|
3085 { |
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|
3086 Complex val = elem (i, j); |
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|
3087 if (xisnan (val)) |
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3088 return true; |
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|
3089 } |
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|
3090 |
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|
3091 return false; |
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|
3092 } |
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|
3093 |
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|
3094 bool |
2384 | 3095 ComplexMatrix::any_element_is_inf_or_nan (void) const |
3096 { | |
5275 | 3097 octave_idx_type nr = rows (); |
3098 octave_idx_type nc = cols (); | |
3099 | |
3100 for (octave_idx_type j = 0; j < nc; j++) | |
3101 for (octave_idx_type i = 0; i < nr; i++) | |
2384 | 3102 { |
10314
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3103 Complex val = elem (i, j); |
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|
3104 if (xisinf (val) || xisnan (val)) |
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|
3105 return true; |
2384 | 3106 } |
3107 | |
3108 return false; | |
3109 } | |
3110 | |
2408 | 3111 // Return true if no elements have imaginary components. |
3112 | |
3113 bool | |
3114 ComplexMatrix::all_elements_are_real (void) const | |
3115 { | |
9825
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narrow complex values with negative zero imaginary parts
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
3116 return mx_inline_all_real (numel (), data ()); |
2408 | 3117 } |
3118 | |
1968 | 3119 // Return nonzero if any element of CM has a non-integer real or |
3120 // imaginary part. Also extract the largest and smallest (real or | |
3121 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
3122 | |
2384 | 3123 bool |
1968 | 3124 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
3125 { | |
5275 | 3126 octave_idx_type nr = rows (); |
3127 octave_idx_type nc = cols (); | |
1968 | 3128 |
3129 if (nr > 0 && nc > 0) | |
3130 { | |
3131 Complex val = elem (0, 0); | |
3132 | |
5315 | 3133 double r_val = std::real (val); |
3134 double i_val = std::imag (val); | |
1968 | 3135 |
3136 max_val = r_val; | |
3137 min_val = r_val; | |
3138 | |
3139 if (i_val > max_val) | |
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3140 max_val = i_val; |
1968 | 3141 |
3142 if (i_val < max_val) | |
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|
3143 min_val = i_val; |
1968 | 3144 } |
3145 else | |
2384 | 3146 return false; |
1968 | 3147 |
5275 | 3148 for (octave_idx_type j = 0; j < nc; j++) |
3149 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3150 { |
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|
3151 Complex val = elem (i, j); |
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|
3152 |
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3153 double r_val = std::real (val); |
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3154 double i_val = std::imag (val); |
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|
3155 |
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|
3156 if (r_val > max_val) |
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|
3157 max_val = r_val; |
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|
3158 |
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|
3159 if (i_val > max_val) |
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|
3160 max_val = i_val; |
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|
3161 |
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|
3162 if (r_val < min_val) |
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|
3163 min_val = r_val; |
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|
3164 |
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|
3165 if (i_val < min_val) |
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|
3166 min_val = i_val; |
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|
3167 |
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3168 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
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|
3169 return false; |
1968 | 3170 } |
2384 | 3171 |
3172 return true; | |
1968 | 3173 } |
3174 | |
2384 | 3175 bool |
1968 | 3176 ComplexMatrix::too_large_for_float (void) const |
3177 { | |
5275 | 3178 octave_idx_type nr = rows (); |
3179 octave_idx_type nc = cols (); | |
3180 | |
3181 for (octave_idx_type j = 0; j < nc; j++) | |
3182 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3183 { |
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|
3184 Complex val = elem (i, j); |
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|
3185 |
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|
3186 double r_val = std::real (val); |
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|
3187 double i_val = std::imag (val); |
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|
3188 |
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|
3189 if ((! (xisnan (r_val) || xisinf (r_val)) |
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|
3190 && fabs (r_val) > FLT_MAX) |
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3191 || (! (xisnan (i_val) || xisinf (i_val)) |
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|
3192 && fabs (i_val) > FLT_MAX)) |
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|
3193 return true; |
1968 | 3194 } |
3195 | |
2384 | 3196 return false; |
1968 | 3197 } |
3198 | |
5775 | 3199 // FIXME Do these really belong here? Maybe they should be |
4015 | 3200 // in a base class? |
3201 | |
2832 | 3202 boolMatrix |
4015 | 3203 ComplexMatrix::all (int dim) const |
458 | 3204 { |
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|
3205 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
458 | 3206 } |
3207 | |
2832 | 3208 boolMatrix |
4015 | 3209 ComplexMatrix::any (int dim) const |
458 | 3210 { |
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|
3211 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
458 | 3212 } |
3213 | |
3214 ComplexMatrix | |
3723 | 3215 ComplexMatrix::cumprod (int dim) const |
458 | 3216 { |
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|
3217 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
458 | 3218 } |
3219 | |
3220 ComplexMatrix | |
3723 | 3221 ComplexMatrix::cumsum (int dim) const |
458 | 3222 { |
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|
3223 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum); |
458 | 3224 } |
3225 | |
3226 ComplexMatrix | |
3723 | 3227 ComplexMatrix::prod (int dim) const |
458 | 3228 { |
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|
3229 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
458 | 3230 } |
3231 | |
3232 ComplexMatrix | |
3723 | 3233 ComplexMatrix::sum (int dim) const |
458 | 3234 { |
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|
3235 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum); |
458 | 3236 } |
3237 | |
3238 ComplexMatrix | |
3723 | 3239 ComplexMatrix::sumsq (int dim) const |
458 | 3240 { |
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3241 return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq); |
458 | 3242 } |
3243 | |
4329 | 3244 Matrix ComplexMatrix::abs (void) const |
3245 { | |
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3246 return Matrix (mx_inline_cabs_dup (data (), length ()), |
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|
3247 rows (), cols ()); |
4329 | 3248 } |
3249 | |
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36594d5bbe13
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David Bateman <dbateman@free.fr>
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|
3250 ComplexMatrix |
5275 | 3251 ComplexMatrix::diag (octave_idx_type k) const |
458 | 3252 { |
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3253 return MArray<Complex>::diag (k); |
458 | 3254 } |
3255 | |
2354 | 3256 bool |
5275 | 3257 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
2354 | 3258 { |
3259 bool retval = true; | |
3260 | |
5275 | 3261 octave_idx_type nc = columns (); |
3262 | |
3263 for (octave_idx_type j = 0; j < nc; j++) | |
2354 | 3264 { |
5315 | 3265 if (std::imag (elem (i, j)) != 0.0) |
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|
3266 { |
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3267 retval = false; |
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|
3268 break; |
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|
3269 } |
2354 | 3270 } |
3271 | |
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|
3272 return retval; |
2354 | 3273 } |
3274 | |
3275 bool | |
5275 | 3276 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
2354 | 3277 { |
3278 bool retval = true; | |
3279 | |
5275 | 3280 octave_idx_type nr = rows (); |
3281 | |
3282 for (octave_idx_type i = 0; i < nr; i++) | |
2354 | 3283 { |
5315 | 3284 if (std::imag (elem (i, j)) != 0.0) |
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|
3285 { |
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|
3286 retval = false; |
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|
3287 break; |
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3288 } |
2354 | 3289 } |
3290 | |
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3291 return retval; |
2354 | 3292 } |
891 | 3293 |
458 | 3294 ComplexColumnVector |
3295 ComplexMatrix::row_min (void) const | |
3296 { | |
5275 | 3297 Array<octave_idx_type> dummy_idx; |
4587 | 3298 return row_min (dummy_idx); |
458 | 3299 } |
3300 | |
3301 ComplexColumnVector | |
5275 | 3302 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
458 | 3303 { |
3304 ComplexColumnVector result; | |
3305 | |
5275 | 3306 octave_idx_type nr = rows (); |
3307 octave_idx_type nc = cols (); | |
458 | 3308 |
3309 if (nr > 0 && nc > 0) | |
3310 { | |
3311 result.resize (nr); | |
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|
3312 idx_arg.resize (nr, 1); |
458 | 3313 |
5275 | 3314 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3315 { |
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3316 bool real_only = row_is_real_only (i); |
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|
3317 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3318 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3319 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3320 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3321 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3322 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3323 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3324 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3325 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3326 tmp_min = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3327 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3328 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3329 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3330 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3331 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3332 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3333 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3334 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3335 for (octave_idx_type j = idx_j+1; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3336 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3337 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3338 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3339 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3340 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3341 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3342 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3343 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3344 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3345 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3346 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3347 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3348 abs_min = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3349 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3350 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3351 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3352 if (xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3353 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3354 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3355 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3356 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3358 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3359 result.elem (i) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3360 idx_arg.elem (i) = idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3361 } |
458 | 3362 } |
3363 } | |
3364 | |
3365 return result; | |
3366 } | |
3367 | |
3368 ComplexColumnVector | |
3369 ComplexMatrix::row_max (void) const | |
3370 { | |
5275 | 3371 Array<octave_idx_type> dummy_idx; |
4587 | 3372 return row_max (dummy_idx); |
458 | 3373 } |
3374 | |
3375 ComplexColumnVector | |
5275 | 3376 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
458 | 3377 { |
3378 ComplexColumnVector result; | |
3379 | |
5275 | 3380 octave_idx_type nr = rows (); |
3381 octave_idx_type nc = cols (); | |
458 | 3382 |
3383 if (nr > 0 && nc > 0) | |
3384 { | |
3385 result.resize (nr); | |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3386 idx_arg.resize (nr, 1); |
458 | 3387 |
5275 | 3388 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3389 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3390 bool real_only = row_is_real_only (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3391 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3392 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3393 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3394 Complex tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3395 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3396 double abs_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3397 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3398 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3399 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3400 tmp_max = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3401 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3402 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3403 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3404 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3405 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3406 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3407 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3408 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3409 for (octave_idx_type j = idx_j+1; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3410 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3411 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3412 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3413 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3414 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3415 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3416 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3417 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3418 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3419 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3420 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3421 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3422 abs_max = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3423 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3424 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3425 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3426 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3427 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3428 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3429 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3430 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3431 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3432 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3433 result.elem (i) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3434 idx_arg.elem (i) = idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3435 } |
458 | 3436 } |
3437 } | |
3438 | |
3439 return result; | |
3440 } | |
3441 | |
3442 ComplexRowVector | |
3443 ComplexMatrix::column_min (void) const | |
3444 { | |
5275 | 3445 Array<octave_idx_type> dummy_idx; |
4587 | 3446 return column_min (dummy_idx); |
458 | 3447 } |
3448 | |
3449 ComplexRowVector | |
5275 | 3450 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
458 | 3451 { |
3452 ComplexRowVector result; | |
3453 | |
5275 | 3454 octave_idx_type nr = rows (); |
3455 octave_idx_type nc = cols (); | |
458 | 3456 |
3457 if (nr > 0 && nc > 0) | |
3458 { | |
3459 result.resize (nc); | |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3460 idx_arg.resize (1, nc); |
458 | 3461 |
5275 | 3462 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3463 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3464 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3465 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3466 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3467 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3468 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3469 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3470 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3471 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3472 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3473 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3474 tmp_min = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3475 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3476 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3477 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3478 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3479 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3480 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3481 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3482 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3483 for (octave_idx_type i = idx_i+1; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3484 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3485 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3486 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3487 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3488 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3489 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3490 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3491 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3492 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3493 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3494 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3495 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3496 abs_min = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3497 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3498 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3499 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3500 if (xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3501 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3502 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3503 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3504 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3505 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3506 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3507 result.elem (j) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3508 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3509 } |
458 | 3510 } |
3511 } | |
3512 | |
3513 return result; | |
3514 } | |
3515 | |
3516 ComplexRowVector | |
3517 ComplexMatrix::column_max (void) const | |
3518 { | |
5275 | 3519 Array<octave_idx_type> dummy_idx; |
4587 | 3520 return column_max (dummy_idx); |
458 | 3521 } |
3522 | |
3523 ComplexRowVector | |
5275 | 3524 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
458 | 3525 { |
3526 ComplexRowVector result; | |
3527 | |
5275 | 3528 octave_idx_type nr = rows (); |
3529 octave_idx_type nc = cols (); | |
458 | 3530 |
3531 if (nr > 0 && nc > 0) | |
3532 { | |
3533 result.resize (nc); | |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3534 idx_arg.resize (1, nc); |
458 | 3535 |
5275 | 3536 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3537 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3538 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3539 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3540 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3541 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3542 Complex tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3543 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3544 double abs_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3545 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3546 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3547 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3548 tmp_max = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3549 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3550 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3551 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3552 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3553 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3554 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3555 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3556 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3557 for (octave_idx_type i = idx_i+1; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3558 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3559 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3560 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3561 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3562 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3563 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3564 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3565 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3566 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3567 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3568 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3569 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3570 abs_max = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3571 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3572 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3573 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3574 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3575 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3576 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3577 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3578 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3579 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3580 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3581 result.elem (j) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3582 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3583 } |
458 | 3584 } |
3585 } | |
3586 | |
3587 return result; | |
3588 } | |
3589 | |
3590 // i/o | |
3591 | |
3504 | 3592 std::ostream& |
3593 operator << (std::ostream& os, const ComplexMatrix& a) | |
458 | 3594 { |
5275 | 3595 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 3596 { |
5275 | 3597 for (octave_idx_type j = 0; j < a.cols (); j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3598 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3599 os << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3600 octave_write_complex (os, a.elem (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3601 } |
458 | 3602 os << "\n"; |
3603 } | |
3604 return os; | |
3605 } | |
3606 | |
3504 | 3607 std::istream& |
3608 operator >> (std::istream& is, ComplexMatrix& a) | |
458 | 3609 { |
5275 | 3610 octave_idx_type nr = a.rows (); |
3611 octave_idx_type nc = a.cols (); | |
458 | 3612 |
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3613 if (nr > 0 && nc > 0) |
458 | 3614 { |
3615 Complex tmp; | |
5275 | 3616 for (octave_idx_type i = 0; i < nr; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3617 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3618 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3619 tmp = octave_read_value<Complex> (is); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3620 if (is) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3621 a.elem (i, j) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3622 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3623 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3624 } |
458 | 3625 } |
3626 | |
2993 | 3627 done: |
3628 | |
458 | 3629 return is; |
3630 } | |
3631 | |
1819 | 3632 ComplexMatrix |
3633 Givens (const Complex& x, const Complex& y) | |
3634 { | |
3635 double cc; | |
3636 Complex cs, temp_r; | |
3637 | |
3887 | 3638 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
1819 | 3639 |
3640 ComplexMatrix g (2, 2); | |
3641 | |
3642 g.elem (0, 0) = cc; | |
3643 g.elem (1, 1) = cc; | |
3644 g.elem (0, 1) = cs; | |
3645 g.elem (1, 0) = -conj (cs); | |
3646 | |
3647 return g; | |
3648 } | |
3649 | |
3650 ComplexMatrix | |
3651 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3652 const ComplexMatrix& c) |
1819 | 3653 { |
3654 ComplexMatrix retval; | |
3655 | |
5775 | 3656 // FIXME -- need to check that a, b, and c are all the same |
1819 | 3657 // size. |
3658 | |
3659 // Compute Schur decompositions | |
3660 | |
3661 ComplexSCHUR as (a, "U"); | |
3662 ComplexSCHUR bs (b, "U"); | |
3663 | |
3664 // Transform c to new coordinates. | |
3665 | |
3666 ComplexMatrix ua = as.unitary_matrix (); | |
3667 ComplexMatrix sch_a = as.schur_matrix (); | |
3668 | |
3669 ComplexMatrix ub = bs.unitary_matrix (); | |
3670 ComplexMatrix sch_b = bs.schur_matrix (); | |
3671 | |
3672 ComplexMatrix cx = ua.hermitian () * c * ub; | |
3673 | |
3674 // Solve the sylvester equation, back-transform, and return the | |
3675 // solution. | |
3676 | |
5275 | 3677 octave_idx_type a_nr = a.rows (); |
3678 octave_idx_type b_nr = b.rows (); | |
1819 | 3679 |
3680 double scale; | |
5275 | 3681 octave_idx_type info; |
1950 | 3682 |
3683 Complex *pa = sch_a.fortran_vec (); | |
3684 Complex *pb = sch_b.fortran_vec (); | |
3685 Complex *px = cx.fortran_vec (); | |
1819 | 3686 |
4552 | 3687 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3688 F77_CONST_CHAR_ARG2 ("N", 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3689 1, a_nr, b_nr, pa, a_nr, pb, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3690 b_nr, px, a_nr, scale, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3691 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3692 F77_CHAR_ARG_LEN (1))); |
1950 | 3693 |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3694 // FIXME -- check info? |
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3695 |
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3696 retval = -ua * cx * ub.hermitian (); |
1819 | 3697 |
3698 return retval; | |
3699 } | |
3700 | |
2828 | 3701 ComplexMatrix |
3702 operator * (const ComplexMatrix& m, const Matrix& a) | |
3703 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3704 if (m.columns () > std::min (m.rows (), a.columns ()) / 10) |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3705 return ComplexMatrix (real (m) * a, imag (m) * a); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3706 else |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3707 return m * ComplexMatrix (a); |
2828 | 3708 } |
3709 | |
3710 ComplexMatrix | |
3711 operator * (const Matrix& m, const ComplexMatrix& a) | |
3712 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3713 if (a.rows () > std::min (m.rows (), a.columns ()) / 10) |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3714 return ComplexMatrix (m * real (a), m * imag (a)); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3715 else |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3716 return m * ComplexMatrix (a); |
2828 | 3717 } |
3718 | |
6162 | 3719 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
3720 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
3721 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
3722 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i 6+i ; 7+i 8+i], [17 + 15i 20 + 17i; 41 + 19i 48 + 21i], 1e-14) | |
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3723 %!assert([1 i]*[i 0]', -i); |
6162 | 3724 */ |
3725 | |
3726 /* Test some simple identities | |
3727 %!shared M, cv, rv | |
3728 %! M = randn(10,10)+i*rand(10,10); | |
3729 %! cv = randn(10,1)+i*rand(10,1); | |
3730 %! rv = randn(1,10)+i*rand(1,10); | |
3731 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3732 %!assert([M.'*cv,M.'*cv],M.'*[cv,cv],1e-14) |
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3733 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
6162 | 3734 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) |
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3735 %!assert([rv*M.';rv*M.'],[rv;rv]*M.',1e-14) |
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3736 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
6162 | 3737 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
3738 */ | |
3739 | |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3740 static const char * |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3741 get_blas_trans_arg (bool trans, bool conj) |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3742 { |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3743 static char blas_notrans = 'N', blas_trans = 'T', blas_conj_trans = 'C'; |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3744 return trans ? (conj ? &blas_conj_trans : &blas_trans) : &blas_notrans; |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3745 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3746 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3747 // the general GEMM operation |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3748 |
2828 | 3749 ComplexMatrix |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3750 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3751 blas_trans_type transa, blas_trans_type transb) |
2828 | 3752 { |
3753 ComplexMatrix retval; | |
3754 | |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3755 bool tra = transa != blas_no_trans, trb = transb != blas_no_trans; |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3756 bool cja = transa == blas_conj_trans, cjb = transb == blas_conj_trans; |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3757 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3758 octave_idx_type a_nr = tra ? a.cols () : a.rows (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3759 octave_idx_type a_nc = tra ? a.rows () : a.cols (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3760 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3761 octave_idx_type b_nr = trb ? b.cols () : b.rows (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3762 octave_idx_type b_nc = trb ? b.rows () : b.cols (); |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3763 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3764 if (a_nc != b_nr) |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3765 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
2828 | 3766 else |
3767 { | |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3768 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3769 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3770 else if (a.data () == b.data () && a_nr == b_nc && tra != trb) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3771 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3772 octave_idx_type lda = a.rows (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3773 |
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3774 retval = ComplexMatrix (a_nr, b_nc); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3775 Complex *c = retval.fortran_vec (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3776 |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3777 const char *ctra = get_blas_trans_arg (tra, cja); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3778 if (cja || cjb) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3779 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3780 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3781 F77_CONST_CHAR_ARG2 (ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3782 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3783 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3784 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3785 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3786 for (octave_idx_type j = 0; j < a_nr; j++) |
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3787 for (octave_idx_type i = 0; i < j; i++) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3788 retval.xelem (j,i) = std::conj (retval.xelem (i,j)); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3789 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3790 else |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3791 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3792 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3793 F77_CONST_CHAR_ARG2 (ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3795 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3796 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3797 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3798 for (octave_idx_type j = 0; j < a_nr; j++) |
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3799 for (octave_idx_type i = 0; i < j; i++) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 retval.xelem (j,i) = retval.xelem (i,j); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 } |
2828 | 3805 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3806 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3807 octave_idx_type lda = a.rows (), tda = a.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3808 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3809 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3810 retval = ComplexMatrix (a_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3811 Complex *c = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3812 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3813 if (b_nc == 1 && a_nr == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3814 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3815 if (cja == cjb) |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3816 { |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3817 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3818 if (cja) *c = std::conj (*c); |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3819 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3820 else if (cja) |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3821 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3822 else |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3823 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3824 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3825 else if (b_nc == 1 && ! cjb) |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3826 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3827 const char *ctra = get_blas_trans_arg (tra, cja); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3828 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (ctra, 1), |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3829 lda, tda, 1.0, a.data (), lda, |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3830 b.data (), 1, 0.0, c, 1 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3831 F77_CHAR_ARG_LEN (1))); |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3832 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3833 else if (a_nr == 1 && ! cja && ! cjb) |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3834 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3835 const char *crevtrb = get_blas_trans_arg (! trb, cjb); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3836 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (crevtrb, 1), |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3837 ldb, tdb, 1.0, b.data (), ldb, |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3838 a.data (), 1, 0.0, c, 1 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3839 F77_CHAR_ARG_LEN (1))); |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3840 } |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3841 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3842 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3843 const char *ctra = get_blas_trans_arg (tra, cja); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3844 const char *ctrb = get_blas_trans_arg (trb, cjb); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3845 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (ctra, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3846 F77_CONST_CHAR_ARG2 (ctrb, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3847 a_nr, b_nc, a_nc, 1.0, a.data (), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3848 lda, b.data (), ldb, 0.0, c, a_nr |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3849 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3850 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3851 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3852 } |
2828 | 3853 } |
3854 | |
3855 return retval; | |
3856 } | |
3857 | |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3858 ComplexMatrix |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3859 operator * (const ComplexMatrix& a, const ComplexMatrix& b) |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3860 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3861 return xgemm (a, b); |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3862 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3863 |
5775 | 3864 // FIXME -- it would be nice to share code among the min/max |
4309 | 3865 // functions below. |
3866 | |
3867 #define EMPTY_RETURN_CHECK(T) \ | |
3868 if (nr == 0 || nc == 0) \ | |
3869 return T (nr, nc); | |
3870 | |
3871 ComplexMatrix | |
3872 min (const Complex& c, const ComplexMatrix& m) | |
3873 { | |
5275 | 3874 octave_idx_type nr = m.rows (); |
3875 octave_idx_type nc = m.columns (); | |
4309 | 3876 |
3877 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3878 | |
3879 ComplexMatrix result (nr, nc); | |
3880 | |
5275 | 3881 for (octave_idx_type j = 0; j < nc; j++) |
3882 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3883 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3884 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3885 result (i, j) = xmin (c, m (i, j)); |
4309 | 3886 } |
3887 | |
3888 return result; | |
3889 } | |
3890 | |
3891 ComplexMatrix | |
3892 min (const ComplexMatrix& m, const Complex& c) | |
3893 { | |
5275 | 3894 octave_idx_type nr = m.rows (); |
3895 octave_idx_type nc = m.columns (); | |
4309 | 3896 |
3897 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3898 | |
3899 ComplexMatrix result (nr, nc); | |
3900 | |
5275 | 3901 for (octave_idx_type j = 0; j < nc; j++) |
3902 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3903 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3904 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3905 result (i, j) = xmin (m (i, j), c); |
4309 | 3906 } |
3907 | |
3908 return result; | |
3909 } | |
3910 | |
3911 ComplexMatrix | |
3912 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
3913 { | |
5275 | 3914 octave_idx_type nr = a.rows (); |
3915 octave_idx_type nc = a.columns (); | |
4309 | 3916 |
3917 if (nr != b.rows () || nc != b.columns ()) | |
3918 { | |
3919 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3920 ("two-arg min expecting args of same size"); |
4309 | 3921 return ComplexMatrix (); |
3922 } | |
3923 | |
3924 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3925 | |
3926 ComplexMatrix result (nr, nc); | |
3927 | |
5275 | 3928 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 3929 { |
3930 int columns_are_real_only = 1; | |
5275 | 3931 for (octave_idx_type i = 0; i < nr; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3932 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3933 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3934 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3935 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3936 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3937 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3938 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3939 } |
4309 | 3940 |
3941 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3942 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3943 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3944 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3945 } |
4309 | 3946 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3947 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3948 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3949 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3950 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3951 result (i, j) = xmin (a (i, j), b (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3952 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3953 } |
4309 | 3954 } |
3955 | |
3956 return result; | |
3957 } | |
3958 | |
3959 ComplexMatrix | |
3960 max (const Complex& c, const ComplexMatrix& m) | |
3961 { | |
5275 | 3962 octave_idx_type nr = m.rows (); |
3963 octave_idx_type nc = m.columns (); | |
4309 | 3964 |
3965 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3966 | |
3967 ComplexMatrix result (nr, nc); | |
3968 | |
5275 | 3969 for (octave_idx_type j = 0; j < nc; j++) |
3970 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3971 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3972 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3973 result (i, j) = xmax (c, m (i, j)); |
4309 | 3974 } |
3975 | |
3976 return result; | |
3977 } | |
3978 | |
3979 ComplexMatrix | |
3980 max (const ComplexMatrix& m, const Complex& c) | |
3981 { | |
5275 | 3982 octave_idx_type nr = m.rows (); |
3983 octave_idx_type nc = m.columns (); | |
4309 | 3984 |
3985 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3986 | |
3987 ComplexMatrix result (nr, nc); | |
3988 | |
5275 | 3989 for (octave_idx_type j = 0; j < nc; j++) |
3990 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3991 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3992 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3993 result (i, j) = xmax (m (i, j), c); |
4309 | 3994 } |
3995 | |
3996 return result; | |
3997 } | |
3998 | |
3999 ComplexMatrix | |
4000 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
4001 { | |
5275 | 4002 octave_idx_type nr = a.rows (); |
4003 octave_idx_type nc = a.columns (); | |
4309 | 4004 |
4005 if (nr != b.rows () || nc != b.columns ()) | |
4006 { | |
4007 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4008 ("two-arg max expecting args of same size"); |
4309 | 4009 return ComplexMatrix (); |
4010 } | |
4011 | |
4012 EMPTY_RETURN_CHECK (ComplexMatrix); | |
4013 | |
4014 ComplexMatrix result (nr, nc); | |
4015 | |
5275 | 4016 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 4017 { |
4018 int columns_are_real_only = 1; | |
5275 | 4019 for (octave_idx_type i = 0; i < nr; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4020 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4021 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4022 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4023 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4024 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4025 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4026 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4027 } |
4309 | 4028 |
4029 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4030 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4031 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4032 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4033 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4034 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4035 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4036 } |
4309 | 4037 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4038 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4039 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4040 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
4041 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4042 result (i, j) = xmax (a (i, j), b (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
4043 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
4044 } |
4309 | 4045 } |
4046 | |
4047 return result; | |
4048 } | |
4049 | |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4050 ComplexMatrix linspace (const ComplexColumnVector& x1, |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4051 const ComplexColumnVector& x2, |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
4052 octave_idx_type n) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4053 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4054 { |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4055 if (n < 1) n = 1; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4056 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4057 octave_idx_type m = x1.length (); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4058 |
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4059 if (x2.length () != m) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4060 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
e087d7c77ff9
improve linspace in liboctave
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diff
changeset
|
4061 |
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4062 NoAlias<ComplexMatrix> retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4063 |
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4064 retval.clear (m, n); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4065 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4066 retval(i, 0) = x1(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4067 |
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4068 // The last column is not needed while using delta. |
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4069 Complex *delta = &retval(0, n-1); |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4070 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4071 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4072 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4073 for (octave_idx_type j = 1; j < n-1; j++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4074 for (octave_idx_type i = 0; i < m; i++) |
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4075 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4076 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4077 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4078 retval(i, n-1) = x2(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4079 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4080 return retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4081 } |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4082 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4083 MS_CMP_OPS (ComplexMatrix, Complex) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4084 MS_BOOL_OPS (ComplexMatrix, Complex) |
2870 | 4085 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4086 SM_CMP_OPS (Complex, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4087 SM_BOOL_OPS (Complex, ComplexMatrix) |
2870 | 4088 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4089 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4090 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |