Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 11518:141b3fb5cef7
style fixes
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 13 Jan 2011 16:52:30 -0500 |
parents | 53edbf95fbb6 |
children | fd0a3ac60b0e |
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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 |
11518 | 68 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, |
69 F77_CONST_CHAR_ARG_DECL, | |
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70 F77_CONST_CHAR_ARG_DECL, |
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71 const octave_idx_type&, const octave_idx_type&, |
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72 const octave_idx_type&, const octave_idx_type&, |
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73 octave_idx_type& |
11518 | 74 F77_CHAR_ARG_LEN_DECL |
75 F77_CHAR_ARG_LEN_DECL); | |
7476 | 76 |
4552 | 77 F77_RET_T |
78 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 79 const octave_idx_type&, Complex*, |
80 const octave_idx_type&, octave_idx_type&, | |
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81 octave_idx_type&, double*, octave_idx_type& |
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82 F77_CHAR_ARG_LEN_DECL); |
4552 | 83 |
84 F77_RET_T | |
85 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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86 F77_CONST_CHAR_ARG_DECL, |
11518 | 87 const octave_idx_type&, const octave_idx_type&, |
88 const octave_idx_type&, double*, | |
89 const octave_idx_type&, double*, | |
90 const octave_idx_type&, octave_idx_type& | |
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91 F77_CHAR_ARG_LEN_DECL |
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92 F77_CHAR_ARG_LEN_DECL); |
4552 | 93 |
94 F77_RET_T | |
95 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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96 F77_CONST_CHAR_ARG_DECL, |
11518 | 97 const octave_idx_type&, const octave_idx_type&, |
98 const octave_idx_type&, const Complex&, | |
99 const Complex*, const octave_idx_type&, | |
100 const Complex*, const octave_idx_type&, | |
101 const Complex&, Complex*, const octave_idx_type& | |
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102 F77_CHAR_ARG_LEN_DECL |
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103 F77_CHAR_ARG_LEN_DECL); |
4552 | 104 |
105 F77_RET_T | |
5983 | 106 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
11518 | 107 const octave_idx_type&, const octave_idx_type&, |
108 const Complex&, const Complex*, | |
109 const octave_idx_type&, const Complex*, | |
110 const octave_idx_type&, const Complex&, | |
111 Complex*, const octave_idx_type& | |
5983 | 112 F77_CHAR_ARG_LEN_DECL); |
113 | |
114 F77_RET_T | |
11518 | 115 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, |
116 const octave_idx_type&, const Complex*, | |
117 const octave_idx_type&, Complex&); | |
5983 | 118 |
119 F77_RET_T | |
11518 | 120 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, |
121 const octave_idx_type&, const Complex*, | |
122 const octave_idx_type&, Complex&); | |
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123 |
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124 F77_RET_T |
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125 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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126 F77_CONST_CHAR_ARG_DECL, |
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127 const octave_idx_type&, const octave_idx_type&, |
11518 | 128 const Complex&, const Complex*, |
129 const octave_idx_type&, const Complex&, | |
130 Complex*, const octave_idx_type& | |
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131 F77_CHAR_ARG_LEN_DECL |
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132 F77_CHAR_ARG_LEN_DECL); |
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133 |
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134 F77_RET_T |
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135 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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136 F77_CONST_CHAR_ARG_DECL, |
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137 const octave_idx_type&, const octave_idx_type&, |
11518 | 138 const double&, const Complex*, |
139 const octave_idx_type&, const double&, Complex*, | |
140 const octave_idx_type& | |
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141 F77_CHAR_ARG_LEN_DECL |
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142 F77_CHAR_ARG_LEN_DECL); |
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143 |
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144 F77_RET_T |
11518 | 145 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, |
146 Complex*, const octave_idx_type&, | |
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147 octave_idx_type*, octave_idx_type&); |
4552 | 148 |
149 F77_RET_T | |
150 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 151 const octave_idx_type&, const octave_idx_type&, |
152 Complex*, const octave_idx_type&, | |
153 const octave_idx_type*, Complex*, | |
154 const octave_idx_type&, octave_idx_type& | |
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155 F77_CHAR_ARG_LEN_DECL); |
4552 | 156 |
157 F77_RET_T | |
11518 | 158 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, |
159 const octave_idx_type&, const octave_idx_type*, | |
160 Complex*, const octave_idx_type&, | |
161 octave_idx_type&); | |
4552 | 162 |
163 F77_RET_T | |
164 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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165 const octave_idx_type&, Complex*, |
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166 const octave_idx_type&, const double&, double&, |
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167 Complex*, double*, octave_idx_type& |
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168 F77_CHAR_ARG_LEN_DECL); |
4552 | 169 |
170 F77_RET_T | |
11518 | 171 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, |
172 const octave_idx_type&, Complex*, | |
173 const octave_idx_type&, Complex*, | |
174 const octave_idx_type&, octave_idx_type*, | |
175 double&, octave_idx_type&, Complex*, | |
176 const octave_idx_type&, double*, | |
177 octave_idx_type&); | |
7072 | 178 |
179 F77_RET_T | |
11518 | 180 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, |
181 const octave_idx_type&, Complex*, | |
182 const octave_idx_type&, Complex*, | |
183 const octave_idx_type&, double*, double&, | |
184 octave_idx_type&, Complex*, | |
185 const octave_idx_type&, double*, | |
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186 octave_idx_type*, octave_idx_type&); |
458 | 187 |
5785 | 188 F77_RET_T |
11518 | 189 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, |
190 const octave_idx_type&, Complex*, | |
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191 const octave_idx_type&, octave_idx_type& |
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192 F77_CHAR_ARG_LEN_DECL); |
5785 | 193 |
194 F77_RET_T | |
11518 | 195 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, |
196 const octave_idx_type&, Complex*, | |
197 const octave_idx_type&, const double&, | |
198 double&, Complex*, double*, octave_idx_type& | |
199 F77_CHAR_ARG_LEN_DECL); | |
200 | |
201 F77_RET_T | |
202 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
203 const octave_idx_type&, const octave_idx_type&, | |
204 const Complex*, const octave_idx_type&, Complex*, | |
205 const octave_idx_type&, octave_idx_type& | |
206 F77_CHAR_ARG_LEN_DECL); | |
207 | |
208 F77_RET_T | |
209 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
210 F77_CONST_CHAR_ARG_DECL, | |
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211 const octave_idx_type&, const Complex*, |
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212 const octave_idx_type&, octave_idx_type& |
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213 F77_CHAR_ARG_LEN_DECL |
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214 F77_CHAR_ARG_LEN_DECL); |
6207 | 215 |
216 F77_RET_T | |
11518 | 217 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, |
218 F77_CONST_CHAR_ARG_DECL, | |
219 F77_CONST_CHAR_ARG_DECL, | |
220 const octave_idx_type&, const Complex*, | |
221 const octave_idx_type&, double&, | |
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222 Complex*, double*, octave_idx_type& |
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223 F77_CHAR_ARG_LEN_DECL |
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224 F77_CHAR_ARG_LEN_DECL |
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225 F77_CHAR_ARG_LEN_DECL); |
5785 | 226 |
227 F77_RET_T | |
11518 | 228 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, |
229 F77_CONST_CHAR_ARG_DECL, | |
230 F77_CONST_CHAR_ARG_DECL, | |
231 const octave_idx_type&, const octave_idx_type&, | |
232 const Complex*, const octave_idx_type&, Complex*, | |
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233 const octave_idx_type&, octave_idx_type& |
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234 F77_CHAR_ARG_LEN_DECL |
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235 F77_CHAR_ARG_LEN_DECL |
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236 F77_CHAR_ARG_LEN_DECL); |
5785 | 237 |
4552 | 238 F77_RET_T |
11518 | 239 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, double&, |
240 Complex&, Complex&); | |
4552 | 241 |
242 F77_RET_T | |
243 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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244 F77_CONST_CHAR_ARG_DECL, |
11518 | 245 const octave_idx_type&, const octave_idx_type&, |
246 const octave_idx_type&, const Complex*, | |
247 const octave_idx_type&, const Complex*, | |
248 const octave_idx_type&, const Complex*, | |
249 const octave_idx_type&, double&, octave_idx_type& | |
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250 F77_CHAR_ARG_LEN_DECL |
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251 F77_CHAR_ARG_LEN_DECL); |
4552 | 252 |
253 F77_RET_T | |
254 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 255 const octave_idx_type&, const octave_idx_type&, |
256 const Complex*, const octave_idx_type&, | |
257 double*, double& | |
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258 F77_CHAR_ARG_LEN_DECL); |
458 | 259 } |
260 | |
2354 | 261 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
262 | |
1360 | 263 // Complex Matrix class |
458 | 264 |
265 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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266 : MArray<Complex> (a) |
458 | 267 { |
268 } | |
269 | |
2349 | 270 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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271 : MArray<Complex> (rv) |
2349 | 272 { |
273 } | |
274 | |
275 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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276 : MArray<Complex> (cv) |
2349 | 277 { |
278 } | |
279 | |
458 | 280 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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281 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
458 | 282 { |
5275 | 283 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 284 elem (i, i) = a.elem (i, i); |
285 } | |
286 | |
2349 | 287 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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288 : MArray<Complex> (rv) |
2349 | 289 { |
290 } | |
291 | |
292 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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293 : MArray<Complex> (cv) |
2349 | 294 { |
295 } | |
296 | |
458 | 297 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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298 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
458 | 299 { |
5275 | 300 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 301 elem (i, i) = a.elem (i, i); |
302 } | |
303 | |
5775 | 304 // FIXME -- could we use a templated mixed-type copy function |
1574 | 305 // here? |
306 | |
2828 | 307 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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308 : MArray<Complex> (a) |
2828 | 309 { |
310 } | |
311 | |
1574 | 312 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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313 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
1574 | 314 { |
5275 | 315 for (octave_idx_type i = 0; i < a.rows (); i++) |
316 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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317 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
1574 | 318 } |
319 | |
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320 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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321 : MArray<Complex> (re.rows (), re.cols ()) |
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322 { |
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323 if (im.rows () != rows () || im.cols () != cols ()) |
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324 (*current_liboctave_error_handler) ("complex: internal error"); |
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325 |
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326 octave_idx_type nel = numel (); |
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327 for (octave_idx_type i = 0; i < nel; i++) |
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328 xelem (i) = Complex (re(i), im(i)); |
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329 } |
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330 |
2384 | 331 bool |
458 | 332 ComplexMatrix::operator == (const ComplexMatrix& a) const |
333 { | |
334 if (rows () != a.rows () || cols () != a.cols ()) | |
2384 | 335 return false; |
458 | 336 |
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337 return mx_inline_equal (length (), data (), a.data ()); |
458 | 338 } |
339 | |
2384 | 340 bool |
458 | 341 ComplexMatrix::operator != (const ComplexMatrix& a) const |
342 { | |
343 return !(*this == a); | |
344 } | |
345 | |
2815 | 346 bool |
347 ComplexMatrix::is_hermitian (void) const | |
348 { | |
5275 | 349 octave_idx_type nr = rows (); |
350 octave_idx_type nc = cols (); | |
2815 | 351 |
352 if (is_square () && nr > 0) | |
353 { | |
5275 | 354 for (octave_idx_type i = 0; i < nr; i++) |
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355 for (octave_idx_type j = i; j < nc; j++) |
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356 if (elem (i, j) != conj (elem (j, i))) |
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357 return false; |
2815 | 358 |
359 return true; | |
360 } | |
361 | |
362 return false; | |
363 } | |
364 | |
458 | 365 // destructive insert/delete/reorder operations |
366 | |
367 ComplexMatrix& | |
5275 | 368 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
458 | 369 { |
5275 | 370 octave_idx_type a_nr = a.rows (); |
371 octave_idx_type a_nc = a.cols (); | |
1699 | 372 |
373 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 374 { |
375 (*current_liboctave_error_handler) ("range error for insert"); | |
376 return *this; | |
377 } | |
378 | |
4316 | 379 if (a_nr >0 && a_nc > 0) |
380 { | |
381 make_unique (); | |
382 | |
5275 | 383 for (octave_idx_type j = 0; j < a_nc; j++) |
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384 for (octave_idx_type i = 0; i < a_nr; i++) |
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385 xelem (r+i, c+j) = a.elem (i, j); |
4316 | 386 } |
458 | 387 |
388 return *this; | |
389 } | |
390 | |
391 ComplexMatrix& | |
5275 | 392 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 393 { |
5275 | 394 octave_idx_type a_len = a.length (); |
4316 | 395 |
1699 | 396 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 397 { |
398 (*current_liboctave_error_handler) ("range error for insert"); | |
399 return *this; | |
400 } | |
401 | |
4316 | 402 if (a_len > 0) |
403 { | |
404 make_unique (); | |
405 | |
5275 | 406 for (octave_idx_type i = 0; i < a_len; i++) |
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407 xelem (r, c+i) = a.elem (i); |
4316 | 408 } |
458 | 409 |
410 return *this; | |
411 } | |
412 | |
413 ComplexMatrix& | |
5275 | 414 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
458 | 415 { |
5275 | 416 octave_idx_type a_len = a.length (); |
4316 | 417 |
1699 | 418 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 419 { |
420 (*current_liboctave_error_handler) ("range error for insert"); | |
421 return *this; | |
422 } | |
423 | |
4316 | 424 if (a_len > 0) |
425 { | |
426 make_unique (); | |
427 | |
5275 | 428 for (octave_idx_type i = 0; i < a_len; i++) |
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429 xelem (r+i, c) = a.elem (i); |
4316 | 430 } |
458 | 431 |
432 return *this; | |
433 } | |
434 | |
435 ComplexMatrix& | |
5275 | 436 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 437 { |
5275 | 438 octave_idx_type a_nr = a.rows (); |
439 octave_idx_type a_nc = a.cols (); | |
1699 | 440 |
441 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 442 { |
443 (*current_liboctave_error_handler) ("range error for insert"); | |
444 return *this; | |
445 } | |
446 | |
1699 | 447 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
448 | |
5275 | 449 octave_idx_type a_len = a.length (); |
4316 | 450 |
451 if (a_len > 0) | |
452 { | |
453 make_unique (); | |
454 | |
5275 | 455 for (octave_idx_type i = 0; i < a_len; i++) |
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456 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 457 } |
458 | 458 |
459 return *this; | |
460 } | |
461 | |
462 ComplexMatrix& | |
5275 | 463 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 464 { |
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465 Array<Complex>::insert (a, r, c); |
458 | 466 return *this; |
467 } | |
468 | |
469 ComplexMatrix& | |
5275 | 470 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 471 { |
5275 | 472 octave_idx_type a_len = a.length (); |
1699 | 473 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 474 { |
475 (*current_liboctave_error_handler) ("range error for insert"); | |
476 return *this; | |
477 } | |
478 | |
5275 | 479 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 480 elem (r, c+i) = a.elem (i); |
481 | |
482 return *this; | |
483 } | |
484 | |
485 ComplexMatrix& | |
5275 | 486 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
458 | 487 { |
5275 | 488 octave_idx_type a_len = a.length (); |
4316 | 489 |
1699 | 490 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 491 { |
492 (*current_liboctave_error_handler) ("range error for insert"); | |
493 return *this; | |
494 } | |
495 | |
4316 | 496 if (a_len > 0) |
497 { | |
498 make_unique (); | |
499 | |
5275 | 500 for (octave_idx_type i = 0; i < a_len; i++) |
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501 xelem (r+i, c) = a.elem (i); |
4316 | 502 } |
458 | 503 |
504 return *this; | |
505 } | |
506 | |
507 ComplexMatrix& | |
5275 | 508 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 509 { |
5275 | 510 octave_idx_type a_nr = a.rows (); |
511 octave_idx_type a_nc = a.cols (); | |
1699 | 512 |
513 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 514 { |
515 (*current_liboctave_error_handler) ("range error for insert"); | |
516 return *this; | |
517 } | |
518 | |
1699 | 519 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
520 | |
5275 | 521 octave_idx_type a_len = a.length (); |
4316 | 522 |
523 if (a_len > 0) | |
524 { | |
525 make_unique (); | |
526 | |
5275 | 527 for (octave_idx_type i = 0; i < a_len; i++) |
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528 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 529 } |
458 | 530 |
531 return *this; | |
532 } | |
533 | |
534 ComplexMatrix& | |
535 ComplexMatrix::fill (double val) | |
536 { | |
5275 | 537 octave_idx_type nr = rows (); |
538 octave_idx_type nc = cols (); | |
4316 | 539 |
458 | 540 if (nr > 0 && nc > 0) |
4316 | 541 { |
542 make_unique (); | |
543 | |
5275 | 544 for (octave_idx_type j = 0; j < nc; j++) |
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545 for (octave_idx_type i = 0; i < nr; i++) |
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546 xelem (i, j) = val; |
4316 | 547 } |
458 | 548 |
549 return *this; | |
550 } | |
551 | |
552 ComplexMatrix& | |
553 ComplexMatrix::fill (const Complex& val) | |
554 { | |
5275 | 555 octave_idx_type nr = rows (); |
556 octave_idx_type nc = cols (); | |
4316 | 557 |
458 | 558 if (nr > 0 && nc > 0) |
4316 | 559 { |
560 make_unique (); | |
561 | |
5275 | 562 for (octave_idx_type j = 0; j < nc; j++) |
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563 for (octave_idx_type i = 0; i < nr; i++) |
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564 xelem (i, j) = val; |
4316 | 565 } |
458 | 566 |
567 return *this; | |
568 } | |
569 | |
570 ComplexMatrix& | |
5275 | 571 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
458 | 572 { |
5275 | 573 octave_idx_type nr = rows (); |
574 octave_idx_type nc = cols (); | |
4316 | 575 |
458 | 576 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
577 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
578 { | |
579 (*current_liboctave_error_handler) ("range error for fill"); | |
580 return *this; | |
581 } | |
582 | |
5275 | 583 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
584 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 585 |
4316 | 586 if (r2 >= r1 && c2 >= c1) |
587 { | |
588 make_unique (); | |
589 | |
5275 | 590 for (octave_idx_type j = c1; j <= c2; j++) |
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591 for (octave_idx_type i = r1; i <= r2; i++) |
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592 xelem (i, j) = val; |
4316 | 593 } |
458 | 594 |
595 return *this; | |
596 } | |
597 | |
598 ComplexMatrix& | |
5275 | 599 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
458 | 600 { |
5275 | 601 octave_idx_type nr = rows (); |
602 octave_idx_type nc = cols (); | |
4316 | 603 |
458 | 604 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
605 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
606 { | |
607 (*current_liboctave_error_handler) ("range error for fill"); | |
608 return *this; | |
609 } | |
610 | |
5275 | 611 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
612 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 613 |
4316 | 614 if (r2 >= r1 && c2 >=c1) |
615 { | |
616 make_unique (); | |
617 | |
5275 | 618 for (octave_idx_type j = c1; j <= c2; j++) |
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619 for (octave_idx_type i = r1; i <= r2; i++) |
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620 xelem (i, j) = val; |
4316 | 621 } |
458 | 622 |
623 return *this; | |
624 } | |
625 | |
626 ComplexMatrix | |
627 ComplexMatrix::append (const Matrix& a) const | |
628 { | |
5275 | 629 octave_idx_type nr = rows (); |
630 octave_idx_type nc = cols (); | |
458 | 631 if (nr != a.rows ()) |
632 { | |
633 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
634 return *this; | |
635 } | |
636 | |
5275 | 637 octave_idx_type nc_insert = nc; |
458 | 638 ComplexMatrix retval (nr, nc + a.cols ()); |
639 retval.insert (*this, 0, 0); | |
640 retval.insert (a, 0, nc_insert); | |
641 return retval; | |
642 } | |
643 | |
644 ComplexMatrix | |
645 ComplexMatrix::append (const RowVector& a) const | |
646 { | |
5275 | 647 octave_idx_type nr = rows (); |
648 octave_idx_type nc = cols (); | |
458 | 649 if (nr != 1) |
650 { | |
651 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
652 return *this; | |
653 } | |
654 | |
5275 | 655 octave_idx_type nc_insert = nc; |
458 | 656 ComplexMatrix retval (nr, nc + a.length ()); |
657 retval.insert (*this, 0, 0); | |
658 retval.insert (a, 0, nc_insert); | |
659 return retval; | |
660 } | |
661 | |
662 ComplexMatrix | |
663 ComplexMatrix::append (const ColumnVector& a) const | |
664 { | |
5275 | 665 octave_idx_type nr = rows (); |
666 octave_idx_type nc = cols (); | |
458 | 667 if (nr != a.length ()) |
668 { | |
669 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
670 return *this; | |
671 } | |
672 | |
5275 | 673 octave_idx_type nc_insert = nc; |
458 | 674 ComplexMatrix retval (nr, nc + 1); |
675 retval.insert (*this, 0, 0); | |
676 retval.insert (a, 0, nc_insert); | |
677 return retval; | |
678 } | |
679 | |
680 ComplexMatrix | |
681 ComplexMatrix::append (const DiagMatrix& a) const | |
682 { | |
5275 | 683 octave_idx_type nr = rows (); |
684 octave_idx_type nc = cols (); | |
458 | 685 if (nr != a.rows ()) |
686 { | |
687 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
688 return *this; | |
689 } | |
690 | |
5275 | 691 octave_idx_type nc_insert = nc; |
458 | 692 ComplexMatrix retval (nr, nc + a.cols ()); |
693 retval.insert (*this, 0, 0); | |
694 retval.insert (a, 0, nc_insert); | |
695 return retval; | |
696 } | |
697 | |
698 ComplexMatrix | |
699 ComplexMatrix::append (const ComplexMatrix& a) const | |
700 { | |
5275 | 701 octave_idx_type nr = rows (); |
702 octave_idx_type nc = cols (); | |
458 | 703 if (nr != a.rows ()) |
704 { | |
705 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
706 return *this; | |
707 } | |
708 | |
5275 | 709 octave_idx_type nc_insert = nc; |
458 | 710 ComplexMatrix retval (nr, nc + a.cols ()); |
711 retval.insert (*this, 0, 0); | |
712 retval.insert (a, 0, nc_insert); | |
713 return retval; | |
714 } | |
715 | |
716 ComplexMatrix | |
717 ComplexMatrix::append (const ComplexRowVector& a) const | |
718 { | |
5275 | 719 octave_idx_type nr = rows (); |
720 octave_idx_type nc = cols (); | |
458 | 721 if (nr != 1) |
722 { | |
723 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
724 return *this; | |
725 } | |
726 | |
5275 | 727 octave_idx_type nc_insert = nc; |
458 | 728 ComplexMatrix retval (nr, nc + a.length ()); |
729 retval.insert (*this, 0, 0); | |
730 retval.insert (a, 0, nc_insert); | |
731 return retval; | |
732 } | |
733 | |
734 ComplexMatrix | |
735 ComplexMatrix::append (const ComplexColumnVector& a) const | |
736 { | |
5275 | 737 octave_idx_type nr = rows (); |
738 octave_idx_type nc = cols (); | |
458 | 739 if (nr != a.length ()) |
740 { | |
741 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
742 return *this; | |
743 } | |
744 | |
5275 | 745 octave_idx_type nc_insert = nc; |
458 | 746 ComplexMatrix retval (nr, nc + 1); |
747 retval.insert (*this, 0, 0); | |
748 retval.insert (a, 0, nc_insert); | |
749 return retval; | |
750 } | |
751 | |
752 ComplexMatrix | |
753 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
754 { | |
5275 | 755 octave_idx_type nr = rows (); |
756 octave_idx_type nc = cols (); | |
458 | 757 if (nr != a.rows ()) |
758 { | |
759 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
760 return *this; | |
761 } | |
762 | |
5275 | 763 octave_idx_type nc_insert = nc; |
458 | 764 ComplexMatrix retval (nr, nc + a.cols ()); |
765 retval.insert (*this, 0, 0); | |
766 retval.insert (a, 0, nc_insert); | |
767 return retval; | |
768 } | |
769 | |
770 ComplexMatrix | |
771 ComplexMatrix::stack (const Matrix& a) const | |
772 { | |
5275 | 773 octave_idx_type nr = rows (); |
774 octave_idx_type nc = cols (); | |
458 | 775 if (nc != a.cols ()) |
776 { | |
777 (*current_liboctave_error_handler) | |
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778 ("column dimension mismatch for stack"); |
458 | 779 return *this; |
780 } | |
781 | |
5275 | 782 octave_idx_type nr_insert = nr; |
458 | 783 ComplexMatrix retval (nr + a.rows (), nc); |
784 retval.insert (*this, 0, 0); | |
785 retval.insert (a, nr_insert, 0); | |
786 return retval; | |
787 } | |
788 | |
789 ComplexMatrix | |
790 ComplexMatrix::stack (const RowVector& a) const | |
791 { | |
5275 | 792 octave_idx_type nr = rows (); |
793 octave_idx_type nc = cols (); | |
458 | 794 if (nc != a.length ()) |
795 { | |
796 (*current_liboctave_error_handler) | |
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797 ("column dimension mismatch for stack"); |
458 | 798 return *this; |
799 } | |
800 | |
5275 | 801 octave_idx_type nr_insert = nr; |
458 | 802 ComplexMatrix retval (nr + 1, nc); |
803 retval.insert (*this, 0, 0); | |
804 retval.insert (a, nr_insert, 0); | |
805 return retval; | |
806 } | |
807 | |
808 ComplexMatrix | |
809 ComplexMatrix::stack (const ColumnVector& a) const | |
810 { | |
5275 | 811 octave_idx_type nr = rows (); |
812 octave_idx_type nc = cols (); | |
458 | 813 if (nc != 1) |
814 { | |
815 (*current_liboctave_error_handler) | |
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816 ("column dimension mismatch for stack"); |
458 | 817 return *this; |
818 } | |
819 | |
5275 | 820 octave_idx_type nr_insert = nr; |
458 | 821 ComplexMatrix retval (nr + a.length (), nc); |
822 retval.insert (*this, 0, 0); | |
823 retval.insert (a, nr_insert, 0); | |
824 return retval; | |
825 } | |
826 | |
827 ComplexMatrix | |
828 ComplexMatrix::stack (const DiagMatrix& a) const | |
829 { | |
5275 | 830 octave_idx_type nr = rows (); |
831 octave_idx_type nc = cols (); | |
458 | 832 if (nc != a.cols ()) |
833 { | |
834 (*current_liboctave_error_handler) | |
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835 ("column dimension mismatch for stack"); |
458 | 836 return *this; |
837 } | |
838 | |
5275 | 839 octave_idx_type nr_insert = nr; |
458 | 840 ComplexMatrix retval (nr + a.rows (), nc); |
841 retval.insert (*this, 0, 0); | |
842 retval.insert (a, nr_insert, 0); | |
843 return retval; | |
844 } | |
845 | |
846 ComplexMatrix | |
847 ComplexMatrix::stack (const ComplexMatrix& a) const | |
848 { | |
5275 | 849 octave_idx_type nr = rows (); |
850 octave_idx_type nc = cols (); | |
458 | 851 if (nc != a.cols ()) |
852 { | |
853 (*current_liboctave_error_handler) | |
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854 ("column dimension mismatch for stack"); |
458 | 855 return *this; |
856 } | |
857 | |
5275 | 858 octave_idx_type nr_insert = nr; |
458 | 859 ComplexMatrix retval (nr + a.rows (), nc); |
860 retval.insert (*this, 0, 0); | |
861 retval.insert (a, nr_insert, 0); | |
862 return retval; | |
863 } | |
864 | |
865 ComplexMatrix | |
866 ComplexMatrix::stack (const ComplexRowVector& a) const | |
867 { | |
5275 | 868 octave_idx_type nr = rows (); |
869 octave_idx_type nc = cols (); | |
458 | 870 if (nc != a.length ()) |
871 { | |
872 (*current_liboctave_error_handler) | |
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873 ("column dimension mismatch for stack"); |
458 | 874 return *this; |
875 } | |
876 | |
5275 | 877 octave_idx_type nr_insert = nr; |
458 | 878 ComplexMatrix retval (nr + 1, nc); |
879 retval.insert (*this, 0, 0); | |
880 retval.insert (a, nr_insert, 0); | |
881 return retval; | |
882 } | |
883 | |
884 ComplexMatrix | |
885 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
886 { | |
5275 | 887 octave_idx_type nr = rows (); |
888 octave_idx_type nc = cols (); | |
458 | 889 if (nc != 1) |
890 { | |
891 (*current_liboctave_error_handler) | |
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892 ("column dimension mismatch for stack"); |
458 | 893 return *this; |
894 } | |
895 | |
5275 | 896 octave_idx_type nr_insert = nr; |
458 | 897 ComplexMatrix retval (nr + a.length (), nc); |
898 retval.insert (*this, 0, 0); | |
899 retval.insert (a, nr_insert, 0); | |
900 return retval; | |
901 } | |
902 | |
903 ComplexMatrix | |
904 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
905 { | |
5275 | 906 octave_idx_type nr = rows (); |
907 octave_idx_type nc = cols (); | |
458 | 908 if (nc != a.cols ()) |
909 { | |
910 (*current_liboctave_error_handler) | |
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911 ("column dimension mismatch for stack"); |
458 | 912 return *this; |
913 } | |
914 | |
5275 | 915 octave_idx_type nr_insert = nr; |
458 | 916 ComplexMatrix retval (nr + a.rows (), nc); |
917 retval.insert (*this, 0, 0); | |
918 retval.insert (a, nr_insert, 0); | |
919 return retval; | |
920 } | |
921 | |
922 ComplexMatrix | |
923 conj (const ComplexMatrix& a) | |
924 { | |
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925 return do_mx_unary_map<Complex, Complex, std::conj> (a); |
458 | 926 } |
927 | |
928 // resize is the destructive equivalent for this one | |
929 | |
930 ComplexMatrix | |
5275 | 931 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
458 | 932 { |
5275 | 933 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
934 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
935 | |
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936 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
4316 | 937 } |
938 | |
939 ComplexMatrix | |
5275 | 940 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
4316 | 941 { |
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942 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
458 | 943 } |
944 | |
945 // extract row or column i. | |
946 | |
947 ComplexRowVector | |
5275 | 948 ComplexMatrix::row (octave_idx_type i) const |
458 | 949 { |
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950 return index (idx_vector (i), idx_vector::colon); |
458 | 951 } |
952 | |
953 ComplexColumnVector | |
5275 | 954 ComplexMatrix::column (octave_idx_type i) const |
458 | 955 { |
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956 return index (idx_vector::colon, idx_vector (i)); |
458 | 957 } |
958 | |
959 ComplexMatrix | |
960 ComplexMatrix::inverse (void) const | |
961 { | |
5275 | 962 octave_idx_type info; |
7788 | 963 double rcon; |
6207 | 964 MatrixType mattype (*this); |
7788 | 965 return inverse (mattype, info, rcon, 0, 0); |
6207 | 966 } |
967 | |
968 ComplexMatrix | |
6479 | 969 ComplexMatrix::inverse (octave_idx_type& info) const |
970 { | |
7788 | 971 double rcon; |
6479 | 972 MatrixType mattype (*this); |
7788 | 973 return inverse (mattype, info, rcon, 0, 0); |
6479 | 974 } |
975 | |
976 ComplexMatrix | |
7788 | 977 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
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978 int calc_cond) const |
6479 | 979 { |
980 MatrixType mattype (*this); | |
7788 | 981 return inverse (mattype, info, rcon, force, calc_cond); |
6479 | 982 } |
983 | |
984 ComplexMatrix | |
6207 | 985 ComplexMatrix::inverse (MatrixType &mattype) const |
986 { | |
987 octave_idx_type info; | |
7788 | 988 double rcon; |
989 return inverse (mattype, info, rcon, 0, 0); | |
6207 | 990 } |
991 | |
992 ComplexMatrix | |
993 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
994 { | |
7788 | 995 double rcon; |
996 return inverse (mattype, info, rcon, 0, 0); | |
458 | 997 } |
998 | |
999 ComplexMatrix | |
6207 | 1000 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
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1001 double& rcon, int force, int calc_cond) const |
458 | 1002 { |
6207 | 1003 ComplexMatrix retval; |
1004 | |
1005 octave_idx_type nr = rows (); | |
1006 octave_idx_type nc = cols (); | |
1007 | |
1008 if (nr != nc || nr == 0 || nc == 0) | |
1009 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
1010 else | |
1011 { | |
1012 int typ = mattype.type (); | |
1013 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
1014 char udiag = 'N'; | |
1015 retval = *this; | |
1016 Complex *tmp_data = retval.fortran_vec (); | |
1017 | |
1018 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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1019 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1020 nr, tmp_data, nr, info |
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1021 F77_CHAR_ARG_LEN (1) |
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1022 F77_CHAR_ARG_LEN (1))); |
6207 | 1023 |
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1024 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1025 rcon = 0.0; |
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1026 if (info != 0) |
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1027 info = -1; |
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1028 else if (calc_cond) |
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1029 { |
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1030 octave_idx_type ztrcon_info = 0; |
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1031 char job = '1'; |
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1032 |
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1033 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1034 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1035 |
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1036 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1037 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1038 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1039 nr, tmp_data, nr, rcon, |
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1040 cwork, rwork, ztrcon_info |
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1041 F77_CHAR_ARG_LEN (1) |
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1042 F77_CHAR_ARG_LEN (1) |
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1043 F77_CHAR_ARG_LEN (1))); |
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1044 |
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1045 if (ztrcon_info != 0) |
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1046 info = -1; |
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1047 } |
6207 | 1048 |
1049 if (info == -1 && ! force) | |
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1050 retval = *this; // Restore matrix contents. |
6207 | 1051 } |
1052 | |
1053 return retval; | |
458 | 1054 } |
1055 | |
1056 ComplexMatrix | |
6207 | 1057 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
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1058 double& rcon, int force, int calc_cond) const |
458 | 1059 { |
1948 | 1060 ComplexMatrix retval; |
1061 | |
5275 | 1062 octave_idx_type nr = rows (); |
1063 octave_idx_type nc = cols (); | |
1948 | 1064 |
458 | 1065 if (nr != nc) |
1948 | 1066 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
458 | 1067 else |
1068 { | |
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1069 Array<octave_idx_type> ipvt (nr, 1); |
5275 | 1070 octave_idx_type *pipvt = ipvt.fortran_vec (); |
1948 | 1071 |
1072 retval = *this; | |
1073 Complex *tmp_data = retval.fortran_vec (); | |
1074 | |
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1075 Array<Complex> z(1, 1); |
5275 | 1076 octave_idx_type lwork = -1; |
4330 | 1077 |
1078 // Query the optimum work array size. | |
4329 | 1079 |
1080 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
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1081 z.fortran_vec (), lwork, info)); |
4329 | 1082 |
5315 | 1083 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
4329 | 1084 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1085 z.resize (lwork, 1); |
4329 | 1086 Complex *pz = z.fortran_vec (); |
1087 | |
1088 info = 0; | |
1089 | |
4330 | 1090 // Calculate the norm of the matrix, for later use. |
4329 | 1091 double anorm; |
1092 if (calc_cond) | |
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1093 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
4329 | 1094 |
1095 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
1948 | 1096 |
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1097 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1098 rcon = 0.0; |
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1099 if (info != 0) |
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1100 info = -1; |
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1101 else if (calc_cond) |
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1102 { |
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1103 // Now calculate the condition number for non-singular matrix. |
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1104 octave_idx_type zgecon_info = 0; |
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1105 char job = '1'; |
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1106 Array<double> rz (2 * nc, 1); |
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1107 double *prz = rz.fortran_vec (); |
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1108 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1109 nc, tmp_data, nr, anorm, |
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1110 rcon, pz, prz, zgecon_info |
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1111 F77_CHAR_ARG_LEN (1))); |
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1112 |
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1113 if (zgecon_info != 0) |
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1114 info = -1; |
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1115 } |
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1116 |
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1117 if (info == -1 && ! force) |
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1118 retval = *this; // Restore contents. |
1948 | 1119 else |
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1120 { |
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1121 octave_idx_type zgetri_info = 0; |
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1122 |
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1123 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1124 pz, lwork, zgetri_info)); |
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1125 |
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1126 if (zgetri_info != 0) |
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1127 info = -1; |
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1128 } |
6207 | 1129 |
1130 if (info != 0) | |
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1131 mattype.mark_as_rectangular(); |
458 | 1132 } |
4329 | 1133 |
1948 | 1134 return retval; |
458 | 1135 } |
1136 | |
1137 ComplexMatrix | |
6207 | 1138 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1139 double& rcon, int force, int calc_cond) const |
6207 | 1140 { |
1141 int typ = mattype.type (false); | |
1142 ComplexMatrix ret; | |
1143 | |
1144 if (typ == MatrixType::Unknown) | |
1145 typ = mattype.type (*this); | |
1146 | |
1147 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
7788 | 1148 ret = tinverse (mattype, info, rcon, force, calc_cond); |
6840 | 1149 else |
6207 | 1150 { |
1151 if (mattype.is_hermitian ()) | |
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1152 { |
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1153 ComplexCHOL chol (*this, info, calc_cond); |
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1154 if (info == 0) |
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1155 { |
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1156 if (calc_cond) |
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1157 rcon = chol.rcond(); |
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1158 else |
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1159 rcon = 1.0; |
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1160 ret = chol.inverse (); |
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1161 } |
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1162 else |
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1163 mattype.mark_as_unsymmetric (); |
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1164 } |
6207 | 1165 |
1166 if (!mattype.is_hermitian ()) | |
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1167 ret = finverse(mattype, info, rcon, force, calc_cond); |
7788 | 1168 |
1169 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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1170 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
6207 | 1171 } |
1172 | |
1173 return ret; | |
1174 } | |
1175 | |
1176 ComplexMatrix | |
4384 | 1177 ComplexMatrix::pseudo_inverse (double tol) const |
740 | 1178 { |
1549 | 1179 ComplexMatrix retval; |
1180 | |
3480 | 1181 ComplexSVD result (*this, SVD::economy); |
740 | 1182 |
1183 DiagMatrix S = result.singular_values (); | |
1184 ComplexMatrix U = result.left_singular_matrix (); | |
1185 ComplexMatrix V = result.right_singular_matrix (); | |
1186 | |
1187 ColumnVector sigma = S.diag (); | |
1188 | |
5275 | 1189 octave_idx_type r = sigma.length () - 1; |
1190 octave_idx_type nr = rows (); | |
1191 octave_idx_type nc = cols (); | |
740 | 1192 |
1193 if (tol <= 0.0) | |
1194 { | |
1195 if (nr > nc) | |
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1196 tol = nr * sigma.elem (0) * DBL_EPSILON; |
740 | 1197 else |
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1198 tol = nc * sigma.elem (0) * DBL_EPSILON; |
740 | 1199 } |
1200 | |
1201 while (r >= 0 && sigma.elem (r) < tol) | |
1202 r--; | |
1203 | |
1204 if (r < 0) | |
1549 | 1205 retval = ComplexMatrix (nc, nr, 0.0); |
740 | 1206 else |
1207 { | |
1208 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
1209 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
1210 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
1549 | 1211 retval = Vr * D * Ur.hermitian (); |
740 | 1212 } |
1549 | 1213 |
1214 return retval; | |
740 | 1215 } |
1216 | |
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1217 #if defined (HAVE_FFTW) |
3827 | 1218 |
1219 ComplexMatrix | |
1220 ComplexMatrix::fourier (void) const | |
1221 { | |
1222 size_t nr = rows (); | |
1223 size_t nc = cols (); | |
1224 | |
1225 ComplexMatrix retval (nr, nc); | |
1226 | |
1227 size_t npts, nsamples; | |
1228 | |
1229 if (nr == 1 || nc == 1) | |
1230 { | |
1231 npts = nr > nc ? nr : nc; | |
1232 nsamples = 1; | |
1233 } | |
1234 else | |
1235 { | |
1236 npts = nr; | |
1237 nsamples = nc; | |
1238 } | |
1239 | |
1240 const Complex *in (data ()); | |
1241 Complex *out (retval.fortran_vec ()); | |
1242 | |
4773 | 1243 octave_fftw::fft (in, out, npts, nsamples); |
3827 | 1244 |
1245 return retval; | |
1246 } | |
1247 | |
1248 ComplexMatrix | |
1249 ComplexMatrix::ifourier (void) const | |
1250 { | |
1251 size_t nr = rows (); | |
1252 size_t nc = cols (); | |
1253 | |
1254 ComplexMatrix retval (nr, nc); | |
1255 | |
1256 size_t npts, nsamples; | |
1257 | |
1258 if (nr == 1 || nc == 1) | |
1259 { | |
1260 npts = nr > nc ? nr : nc; | |
1261 nsamples = 1; | |
1262 } | |
1263 else | |
1264 { | |
1265 npts = nr; | |
1266 nsamples = nc; | |
1267 } | |
1268 | |
1269 const Complex *in (data ()); | |
1270 Complex *out (retval.fortran_vec ()); | |
1271 | |
4773 | 1272 octave_fftw::ifft (in, out, npts, nsamples); |
3827 | 1273 |
1274 return retval; | |
1275 } | |
1276 | |
1277 ComplexMatrix | |
1278 ComplexMatrix::fourier2d (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::fftNd (in, out, 2, dv); | |
3827 | 1287 |
1288 return retval; | |
1289 } | |
1290 | |
1291 ComplexMatrix | |
1292 ComplexMatrix::ifourier2d (void) const | |
1293 { | |
4773 | 1294 dim_vector dv(rows (), cols ()); |
1295 | |
1296 ComplexMatrix retval (rows (), cols ()); | |
1297 const Complex *in (data ()); | |
1298 Complex *out (retval.fortran_vec ()); | |
1299 | |
1300 octave_fftw::ifftNd (in, out, 2, dv); | |
3827 | 1301 |
1302 return retval; | |
1303 } | |
1304 | |
1305 #else | |
1306 | |
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1307 extern "C" |
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1308 { |
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1309 // Note that the original complex fft routines were not written for |
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1310 // double complex arguments. They have been modified by adding an |
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1311 // implicit double precision (a-h,o-z) statement at the beginning of |
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1312 // each subroutine. |
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1313 |
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1314 F77_RET_T |
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1315 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1316 |
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1317 F77_RET_T |
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1318 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1319 |
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1320 F77_RET_T |
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1321 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1322 } |
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1323 |
740 | 1324 ComplexMatrix |
458 | 1325 ComplexMatrix::fourier (void) const |
1326 { | |
1948 | 1327 ComplexMatrix retval; |
1328 | |
5275 | 1329 octave_idx_type nr = rows (); |
1330 octave_idx_type nc = cols (); | |
1331 | |
1332 octave_idx_type npts, nsamples; | |
1948 | 1333 |
458 | 1334 if (nr == 1 || nc == 1) |
1335 { | |
1336 npts = nr > nc ? nr : nc; | |
1337 nsamples = 1; | |
1338 } | |
1339 else | |
1340 { | |
1341 npts = nr; | |
1342 nsamples = nc; | |
1343 } | |
1344 | |
5275 | 1345 octave_idx_type nn = 4*npts+15; |
1948 | 1346 |
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1347 Array<Complex> wsave (nn, 1); |
1948 | 1348 Complex *pwsave = wsave.fortran_vec (); |
1349 | |
1350 retval = *this; | |
1351 Complex *tmp_data = retval.fortran_vec (); | |
1352 | |
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1353 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1354 |
5275 | 1355 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1356 { |
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1357 octave_quit (); |
4153 | 1358 |
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1359 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1360 } |
1948 | 1361 |
1362 return retval; | |
458 | 1363 } |
1364 | |
1365 ComplexMatrix | |
1366 ComplexMatrix::ifourier (void) const | |
1367 { | |
1948 | 1368 ComplexMatrix retval; |
1369 | |
5275 | 1370 octave_idx_type nr = rows (); |
1371 octave_idx_type nc = cols (); | |
1372 | |
1373 octave_idx_type npts, nsamples; | |
1948 | 1374 |
458 | 1375 if (nr == 1 || nc == 1) |
1376 { | |
1377 npts = nr > nc ? nr : nc; | |
1378 nsamples = 1; | |
1379 } | |
1380 else | |
1381 { | |
1382 npts = nr; | |
1383 nsamples = nc; | |
1384 } | |
1385 | |
5275 | 1386 octave_idx_type nn = 4*npts+15; |
1948 | 1387 |
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1388 Array<Complex> wsave (nn, 1); |
1948 | 1389 Complex *pwsave = wsave.fortran_vec (); |
1390 | |
1391 retval = *this; | |
1392 Complex *tmp_data = retval.fortran_vec (); | |
1393 | |
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1394 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1395 |
5275 | 1396 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1397 { |
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1398 octave_quit (); |
4153 | 1399 |
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1400 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1401 } |
458 | 1402 |
5275 | 1403 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1404 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
458 | 1405 |
1948 | 1406 return retval; |
458 | 1407 } |
1408 | |
677 | 1409 ComplexMatrix |
1410 ComplexMatrix::fourier2d (void) const | |
1411 { | |
1948 | 1412 ComplexMatrix retval; |
1413 | |
5275 | 1414 octave_idx_type nr = rows (); |
1415 octave_idx_type nc = cols (); | |
1416 | |
1417 octave_idx_type npts, nsamples; | |
1948 | 1418 |
677 | 1419 if (nr == 1 || nc == 1) |
1420 { | |
1421 npts = nr > nc ? nr : nc; | |
1422 nsamples = 1; | |
1423 } | |
1424 else | |
1425 { | |
1426 npts = nr; | |
1427 nsamples = nc; | |
1428 } | |
1429 | |
5275 | 1430 octave_idx_type nn = 4*npts+15; |
1948 | 1431 |
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1432 Array<Complex> wsave (nn, 1); |
1948 | 1433 Complex *pwsave = wsave.fortran_vec (); |
1434 | |
1435 retval = *this; | |
1436 Complex *tmp_data = retval.fortran_vec (); | |
1437 | |
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1438 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1439 |
5275 | 1440 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1441 { |
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1442 octave_quit (); |
4153 | 1443 |
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1444 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1445 } |
677 | 1446 |
1447 npts = nc; | |
1448 nsamples = nr; | |
1449 nn = 4*npts+15; | |
1948 | 1450 |
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1451 wsave.resize (nn, 1); |
1948 | 1452 pwsave = wsave.fortran_vec (); |
1453 | |
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1454 Array<Complex> tmp (npts, 1); |
4773 | 1455 Complex *prow = tmp.fortran_vec (); |
1948 | 1456 |
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1457 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1458 |
5275 | 1459 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1460 { |
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1461 octave_quit (); |
4153 | 1462 |
5275 | 1463 for (octave_idx_type i = 0; i < npts; i++) |
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1464 prow[i] = tmp_data[i*nr + j]; |
1948 | 1465 |
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1466 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
677 | 1467 |
5275 | 1468 for (octave_idx_type i = 0; i < npts; i++) |
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1469 tmp_data[i*nr + j] = prow[i]; |
677 | 1470 } |
1471 | |
1948 | 1472 return retval; |
677 | 1473 } |
1474 | |
1475 ComplexMatrix | |
1476 ComplexMatrix::ifourier2d (void) const | |
1477 { | |
1948 | 1478 ComplexMatrix retval; |
1479 | |
5275 | 1480 octave_idx_type nr = rows (); |
1481 octave_idx_type nc = cols (); | |
1482 | |
1483 octave_idx_type npts, nsamples; | |
1948 | 1484 |
677 | 1485 if (nr == 1 || nc == 1) |
1486 { | |
1487 npts = nr > nc ? nr : nc; | |
1488 nsamples = 1; | |
1489 } | |
1490 else | |
1491 { | |
1492 npts = nr; | |
1493 nsamples = nc; | |
1494 } | |
1495 | |
5275 | 1496 octave_idx_type nn = 4*npts+15; |
1948 | 1497 |
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1498 Array<Complex> wsave (nn, 1); |
1948 | 1499 Complex *pwsave = wsave.fortran_vec (); |
1500 | |
1501 retval = *this; | |
1502 Complex *tmp_data = retval.fortran_vec (); | |
1503 | |
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1504 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1505 |
5275 | 1506 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1507 { |
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1508 octave_quit (); |
4153 | 1509 |
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1510 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1511 } |
677 | 1512 |
5275 | 1513 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1514 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
677 | 1515 |
1516 npts = nc; | |
1517 nsamples = nr; | |
1518 nn = 4*npts+15; | |
1948 | 1519 |
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1520 wsave.resize (nn, 1); |
1948 | 1521 pwsave = wsave.fortran_vec (); |
1522 | |
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1523 Array<Complex> tmp (npts, 1); |
4773 | 1524 Complex *prow = tmp.fortran_vec (); |
1948 | 1525 |
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1526 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1527 |
5275 | 1528 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1529 { |
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1530 octave_quit (); |
4153 | 1531 |
5275 | 1532 for (octave_idx_type i = 0; i < npts; i++) |
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1533 prow[i] = tmp_data[i*nr + j]; |
1948 | 1534 |
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1535 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
677 | 1536 |
5275 | 1537 for (octave_idx_type i = 0; i < npts; i++) |
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1538 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
677 | 1539 } |
1540 | |
1948 | 1541 return retval; |
677 | 1542 } |
1543 | |
3827 | 1544 #endif |
1545 | |
458 | 1546 ComplexDET |
1547 ComplexMatrix::determinant (void) const | |
1548 { | |
5275 | 1549 octave_idx_type info; |
7788 | 1550 double rcon; |
1551 return determinant (info, rcon, 0); | |
458 | 1552 } |
1553 | |
1554 ComplexDET | |
5275 | 1555 ComplexMatrix::determinant (octave_idx_type& info) const |
458 | 1556 { |
7788 | 1557 double rcon; |
1558 return determinant (info, rcon, 0); | |
458 | 1559 } |
1560 | |
1561 ComplexDET | |
7788 | 1562 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
458 | 1563 { |
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1564 MatrixType mattype (*this); |
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1565 return determinant (mattype, info, rcon, calc_cond); |
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1566 } |
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1567 |
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1568 ComplexDET |
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1569 ComplexMatrix::determinant (MatrixType& mattype, |
8806 | 1570 octave_idx_type& info, double& rcon, |
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1571 int calc_cond) const |
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1572 { |
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1573 ComplexDET retval (1.0); |
458 | 1574 |
5275 | 1575 octave_idx_type nr = rows (); |
1576 octave_idx_type nc = cols (); | |
458 | 1577 |
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1578 if (nr != nc) |
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1579 (*current_liboctave_error_handler) ("matrix must be square"); |
458 | 1580 else |
1581 { | |
8806 | 1582 volatile int typ = mattype.type (); |
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1583 |
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1584 // Even though the matrix is marked as singular (Rectangular), we may |
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1585 // still get a useful number from the LU factorization, because it always |
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1586 // completes. |
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1587 |
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1588 if (typ == MatrixType::Unknown) |
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1589 typ = mattype.type (*this); |
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1590 else if (typ == MatrixType::Rectangular) |
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1591 typ = MatrixType::Full; |
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1592 |
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1593 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1594 { |
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1595 for (octave_idx_type i = 0; i < nc; i++) |
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1596 retval *= elem (i,i); |
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1597 } |
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1598 else if (typ == MatrixType::Hermitian) |
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1599 { |
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1600 ComplexMatrix atmp = *this; |
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1601 Complex *tmp_data = atmp.fortran_vec (); |
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1602 |
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1603 info = 0; |
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1604 double anorm = 0; |
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1605 if (calc_cond) anorm = xnorm (*this, 1); |
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1606 |
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1607 |
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1608 char job = 'L'; |
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1609 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1610 tmp_data, nr, info |
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1611 F77_CHAR_ARG_LEN (1))); |
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1612 |
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1613 if (info != 0) |
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1614 { |
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1615 rcon = 0.0; |
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1616 mattype.mark_as_unsymmetric (); |
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1617 typ = MatrixType::Full; |
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1618 } |
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1619 else |
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1620 { |
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1621 Array<Complex> z (2 * nc, 1); |
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1622 Complex *pz = z.fortran_vec (); |
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1623 Array<double> rz (nc, 1); |
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1624 double *prz = rz.fortran_vec (); |
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1625 |
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1626 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1627 nr, tmp_data, nr, anorm, |
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1628 rcon, pz, prz, info |
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1629 F77_CHAR_ARG_LEN (1))); |
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1630 |
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1631 if (info != 0) |
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1632 rcon = 0.0; |
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1633 |
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1634 for (octave_idx_type i = 0; i < nc; i++) |
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1635 retval *= atmp (i,i); |
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1636 |
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1637 retval = retval.square (); |
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1638 } |
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1639 } |
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1640 else if (typ != MatrixType::Full) |
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1641 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1642 |
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1643 if (typ == MatrixType::Full) |
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1644 { |
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1645 Array<octave_idx_type> ipvt (nr, 1); |
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1646 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1647 |
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1648 ComplexMatrix atmp = *this; |
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1649 Complex *tmp_data = atmp.fortran_vec (); |
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1650 |
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1651 info = 0; |
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1652 |
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1653 // Calculate the norm of the matrix, for later use. |
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1654 double anorm = 0; |
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1655 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1656 |
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|
1657 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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|
1658 |
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|
1659 // Throw-away extra info LAPACK gives so as to not change output. |
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1660 rcon = 0.0; |
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|
1661 if (info != 0) |
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|
1662 { |
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|
1663 info = -1; |
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|
1664 retval = ComplexDET (); |
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|
1665 } |
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|
1666 else |
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|
1667 { |
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|
1668 if (calc_cond) |
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diff
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|
1669 { |
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|
1670 // Now calc the condition number for non-singular matrix. |
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|
1671 char job = '1'; |
10350
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merge MArray classes & improve Array interface
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|
1672 Array<Complex> z (2 * nc, 1); |
8336
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|
1673 Complex *pz = z.fortran_vec (); |
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|
1674 Array<double> rz (2 * nc, 1); |
8336
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1675 double *prz = rz.fortran_vec (); |
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1676 |
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|
1677 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1678 nc, tmp_data, nr, anorm, |
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|
1679 rcon, pz, prz, info |
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|
1680 F77_CHAR_ARG_LEN (1))); |
8335 | 1681 } |
8336
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|
1682 |
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1683 if (info != 0) |
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|
1684 { |
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|
1685 info = -1; |
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1686 retval = ComplexDET (); |
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1687 } |
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|
1688 else |
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|
1689 { |
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1690 for (octave_idx_type i = 0; i < nc; i++) |
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|
1691 { |
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1692 Complex c = atmp(i,i); |
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1693 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1694 } |
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|
1695 } |
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|
1696 } |
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1697 } |
458 | 1698 } |
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1699 |
458 | 1700 return retval; |
1701 } | |
1702 | |
7788 | 1703 double |
1704 ComplexMatrix::rcond (void) const | |
1705 { | |
1706 MatrixType mattype (*this); | |
1707 return rcond (mattype); | |
1708 } | |
1709 | |
1710 double | |
1711 ComplexMatrix::rcond (MatrixType &mattype) const | |
1712 { | |
1713 double rcon; | |
1714 octave_idx_type nr = rows (); | |
1715 octave_idx_type nc = cols (); | |
1716 | |
1717 if (nr != nc) | |
1718 (*current_liboctave_error_handler) ("matrix must be square"); | |
1719 else if (nr == 0 || nc == 0) | |
1720 rcon = octave_Inf; | |
1721 else | |
1722 { | |
1723 int typ = mattype.type (); | |
1724 | |
1725 if (typ == MatrixType::Unknown) | |
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1726 typ = mattype.type (*this); |
7788 | 1727 |
1728 // Only calculate the condition number for LU/Cholesky | |
1729 if (typ == MatrixType::Upper) | |
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|
1730 { |
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1731 const Complex *tmp_data = fortran_vec (); |
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1732 octave_idx_type info = 0; |
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1733 char norm = '1'; |
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1734 char uplo = 'U'; |
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|
1735 char dia = 'N'; |
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1736 |
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1737 Array<Complex> z (2 * nc, 1); |
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1738 Complex *pz = z.fortran_vec (); |
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1739 Array<double> rz (nc, 1); |
10314
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1740 double *prz = rz.fortran_vec (); |
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1741 |
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1742 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1743 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1744 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1745 nr, tmp_data, nr, rcon, |
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1746 pz, prz, info |
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1747 F77_CHAR_ARG_LEN (1) |
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1748 F77_CHAR_ARG_LEN (1) |
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1749 F77_CHAR_ARG_LEN (1))); |
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1750 |
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1751 if (info != 0) |
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|
1752 rcon = 0; |
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|
1753 } |
7788 | 1754 else if (typ == MatrixType::Permuted_Upper) |
10314
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|
1755 (*current_liboctave_error_handler) |
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|
1756 ("permuted triangular matrix not implemented"); |
7788 | 1757 else if (typ == MatrixType::Lower) |
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|
1758 { |
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1759 const Complex *tmp_data = fortran_vec (); |
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1760 octave_idx_type info = 0; |
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1761 char norm = '1'; |
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|
1762 char uplo = 'L'; |
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|
1763 char dia = 'N'; |
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|
1764 |
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1765 Array<Complex> z (2 * nc, 1); |
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|
1766 Complex *pz = z.fortran_vec (); |
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1767 Array<double> rz (nc, 1); |
10314
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1768 double *prz = rz.fortran_vec (); |
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1769 |
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1770 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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|
1771 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
1772 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1773 nr, tmp_data, nr, rcon, |
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1774 pz, prz, info |
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|
1775 F77_CHAR_ARG_LEN (1) |
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1776 F77_CHAR_ARG_LEN (1) |
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|
1777 F77_CHAR_ARG_LEN (1))); |
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|
1778 |
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1779 if (info != 0) |
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1780 rcon = 0.0; |
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1781 } |
7788 | 1782 else if (typ == MatrixType::Permuted_Lower) |
10314
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1783 (*current_liboctave_error_handler) |
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1784 ("permuted triangular matrix not implemented"); |
7788 | 1785 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
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|
1786 { |
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1787 double anorm = -1.0; |
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|
1788 ComplexMatrix atmp = *this; |
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|
1789 Complex *tmp_data = atmp.fortran_vec (); |
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1790 |
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1791 if (typ == MatrixType::Hermitian) |
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1792 { |
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1793 octave_idx_type info = 0; |
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|
1794 char job = 'L'; |
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|
1795 anorm = atmp.abs().sum(). |
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|
1796 row(static_cast<octave_idx_type>(0)).max(); |
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|
1797 |
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1798 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1799 tmp_data, nr, info |
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|
1800 F77_CHAR_ARG_LEN (1))); |
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|
1801 |
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1802 if (info != 0) |
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1803 { |
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1804 rcon = 0.0; |
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1805 |
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1806 mattype.mark_as_unsymmetric (); |
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1807 typ = MatrixType::Full; |
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1808 } |
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1809 else |
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1810 { |
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1811 Array<Complex> z (2 * nc, 1); |
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1812 Complex *pz = z.fortran_vec (); |
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1813 Array<double> rz (nc, 1); |
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1814 double *prz = rz.fortran_vec (); |
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1815 |
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1816 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1817 nr, tmp_data, nr, anorm, |
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1818 rcon, pz, prz, info |
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1819 F77_CHAR_ARG_LEN (1))); |
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1820 |
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1821 if (info != 0) |
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1822 rcon = 0.0; |
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1823 } |
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1824 } |
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1825 |
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1826 |
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1827 if (typ == MatrixType::Full) |
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1828 { |
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1829 octave_idx_type info = 0; |
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1830 |
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1831 Array<octave_idx_type> ipvt (nr, 1); |
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1832 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1833 |
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1834 if(anorm < 0.) |
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1835 anorm = atmp.abs().sum(). |
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1836 row(static_cast<octave_idx_type>(0)).max(); |
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1837 |
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1838 Array<Complex> z (2 * nc, 1); |
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1839 Complex *pz = z.fortran_vec (); |
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1840 Array<double> rz (2 * nc, 1); |
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1841 double *prz = rz.fortran_vec (); |
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1842 |
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1843 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1844 |
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1845 if (info != 0) |
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1846 { |
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1847 rcon = 0.0; |
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1848 mattype.mark_as_rectangular (); |
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1849 } |
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1850 else |
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1851 { |
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1852 char job = '1'; |
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1853 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1854 nc, tmp_data, nr, anorm, |
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1855 rcon, pz, prz, info |
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1856 F77_CHAR_ARG_LEN (1))); |
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1857 |
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1858 if (info != 0) |
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1859 rcon = 0.0; |
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1860 } |
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1861 } |
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1862 } |
7788 | 1863 else |
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1864 rcon = 0.0; |
7788 | 1865 } |
1866 | |
1867 return rcon; | |
1868 } | |
1869 | |
458 | 1870 ComplexMatrix |
5785 | 1871 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1872 octave_idx_type& info, double& rcon, |
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1873 solve_singularity_handler sing_handler, |
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1874 bool calc_cond, blas_trans_type transt) const |
5785 | 1875 { |
1876 ComplexMatrix retval; | |
1877 | |
1878 octave_idx_type nr = rows (); | |
1879 octave_idx_type nc = cols (); | |
1880 | |
6924 | 1881 if (nr != b.rows ()) |
5785 | 1882 (*current_liboctave_error_handler) |
1883 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1884 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1885 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1886 else |
1887 { | |
1888 volatile int typ = mattype.type (); | |
1889 | |
1890 if (typ == MatrixType::Permuted_Upper || | |
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1891 typ == MatrixType::Upper) |
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1892 { |
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1893 octave_idx_type b_nc = b.cols (); |
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1894 rcon = 1.; |
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1895 info = 0; |
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1896 |
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1897 if (typ == MatrixType::Permuted_Upper) |
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1898 { |
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1899 (*current_liboctave_error_handler) |
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1900 ("permuted triangular matrix not implemented"); |
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1901 } |
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1902 else |
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1903 { |
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1904 const Complex *tmp_data = fortran_vec (); |
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1905 |
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1906 if (calc_cond) |
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1907 { |
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1908 char norm = '1'; |
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1909 char uplo = 'U'; |
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1910 char dia = 'N'; |
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1911 |
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1912 Array<Complex> z (2 * nc, 1); |
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1913 Complex *pz = z.fortran_vec (); |
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1914 Array<double> rz (nc, 1); |
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1915 double *prz = rz.fortran_vec (); |
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1916 |
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1917 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1918 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1919 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1920 nr, tmp_data, nr, rcon, |
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1921 pz, prz, info |
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1922 F77_CHAR_ARG_LEN (1) |
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1923 F77_CHAR_ARG_LEN (1) |
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1924 F77_CHAR_ARG_LEN (1))); |
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1925 |
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1926 if (info != 0) |
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1927 info = -2; |
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1928 |
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1929 volatile double rcond_plus_one = rcon + 1.0; |
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1930 |
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1931 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1932 { |
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1933 info = -2; |
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1934 |
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1935 if (sing_handler) |
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1936 sing_handler (rcon); |
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1937 else |
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1938 (*current_liboctave_error_handler) |
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1939 ("matrix singular to machine precision, rcond = %g", |
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1940 rcon); |
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1941 } |
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1942 } |
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1943 |
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1944 if (info == 0) |
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1945 { |
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1946 retval = b; |
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1947 Complex *result = retval.fortran_vec (); |
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1948 |
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1949 char uplo = 'U'; |
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1950 char trans = get_blas_char (transt); |
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1951 char dia = 'N'; |
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1952 |
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1953 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1954 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1955 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1956 nr, b_nc, tmp_data, nr, |
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1957 result, nr, info |
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1958 F77_CHAR_ARG_LEN (1) |
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1959 F77_CHAR_ARG_LEN (1) |
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1960 F77_CHAR_ARG_LEN (1))); |
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1961 } |
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1962 } |
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1963 } |
5785 | 1964 else |
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1965 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1966 } |
1967 | |
1968 return retval; | |
1969 } | |
1970 | |
1971 ComplexMatrix | |
1972 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
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1973 octave_idx_type& info, double& rcon, |
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1974 solve_singularity_handler sing_handler, |
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1975 bool calc_cond, blas_trans_type transt) const |
5785 | 1976 { |
1977 ComplexMatrix retval; | |
1978 | |
1979 octave_idx_type nr = rows (); | |
1980 octave_idx_type nc = cols (); | |
1981 | |
6924 | 1982 if (nr != b.rows ()) |
5785 | 1983 (*current_liboctave_error_handler) |
1984 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1985 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1986 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1987 else |
1988 { | |
1989 volatile int typ = mattype.type (); | |
1990 | |
1991 if (typ == MatrixType::Permuted_Lower || | |
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1992 typ == MatrixType::Lower) |
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1993 { |
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1994 octave_idx_type b_nc = b.cols (); |
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1995 rcon = 1.; |
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1996 info = 0; |
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1997 |
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1998 if (typ == MatrixType::Permuted_Lower) |
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1999 { |
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2000 (*current_liboctave_error_handler) |
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2001 ("permuted triangular matrix not implemented"); |
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2002 } |
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2003 else |
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2004 { |
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2005 const Complex *tmp_data = fortran_vec (); |
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2006 |
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2007 if (calc_cond) |
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2008 { |
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2009 char norm = '1'; |
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2010 char uplo = 'L'; |
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2011 char dia = 'N'; |
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2012 |
10350
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2013 Array<Complex> z (2 * nc, 1); |
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2014 Complex *pz = z.fortran_vec (); |
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2015 Array<double> rz (nc, 1); |
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2016 double *prz = rz.fortran_vec (); |
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2017 |
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2018 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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2019 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2020 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2021 nr, tmp_data, nr, rcon, |
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2022 pz, prz, info |
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2023 F77_CHAR_ARG_LEN (1) |
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2024 F77_CHAR_ARG_LEN (1) |
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2025 F77_CHAR_ARG_LEN (1))); |
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2026 |
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2027 if (info != 0) |
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2028 info = -2; |
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2029 |
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2030 volatile double rcond_plus_one = rcon + 1.0; |
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2031 |
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2032 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2033 { |
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2034 info = -2; |
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2035 |
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2036 if (sing_handler) |
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2037 sing_handler (rcon); |
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2038 else |
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2039 (*current_liboctave_error_handler) |
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2040 ("matrix singular to machine precision, rcond = %g", |
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2041 rcon); |
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2042 } |
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2043 } |
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2044 |
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2045 if (info == 0) |
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2046 { |
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2047 retval = b; |
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2048 Complex *result = retval.fortran_vec (); |
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2049 |
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2050 char uplo = 'L'; |
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2051 char trans = get_blas_char (transt); |
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2052 char dia = 'N'; |
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2053 |
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2054 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2055 F77_CONST_CHAR_ARG2 (&trans, 1), |
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2056 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2057 nr, b_nc, tmp_data, nr, |
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2058 result, nr, info |
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2059 F77_CHAR_ARG_LEN (1) |
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2060 F77_CHAR_ARG_LEN (1) |
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2061 F77_CHAR_ARG_LEN (1))); |
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2062 } |
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2063 } |
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2064 } |
5785 | 2065 else |
10314
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2066 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 2067 } |
2068 | |
2069 return retval; | |
2070 } | |
2071 | |
2072 ComplexMatrix | |
2073 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
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2074 octave_idx_type& info, double& rcon, |
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2075 solve_singularity_handler sing_handler, |
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2076 bool calc_cond) const |
5785 | 2077 { |
2078 ComplexMatrix retval; | |
2079 | |
2080 octave_idx_type nr = rows (); | |
2081 octave_idx_type nc = cols (); | |
2082 | |
6924 | 2083 |
2084 if (nr != nc || nr != b.rows ()) | |
5785 | 2085 (*current_liboctave_error_handler) |
6924 | 2086 ("matrix dimension mismatch solution of linear equations"); |
2087 else if (nr == 0 || b.cols () == 0) | |
2088 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2089 else |
2090 { | |
2091 volatile int typ = mattype.type (); | |
2092 | |
2093 // Calculate the norm of the matrix, for later use. | |
2094 double anorm = -1.; | |
2095 | |
2096 if (typ == MatrixType::Hermitian) | |
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2097 { |
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2098 info = 0; |
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2099 char job = 'L'; |
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2100 ComplexMatrix atmp = *this; |
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2101 Complex *tmp_data = atmp.fortran_vec (); |
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2102 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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2103 |
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2104 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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2105 tmp_data, nr, info |
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2106 F77_CHAR_ARG_LEN (1))); |
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2107 |
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2108 // Throw-away extra info LAPACK gives so as to not change output. |
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2109 rcon = 0.0; |
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2110 if (info != 0) |
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2111 { |
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John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2112 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2113 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2114 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2115 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2116 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2117 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2118 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2119 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2120 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2121 Array<Complex> z (2 * nc, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2122 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2123 Array<double> rz (nc, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2124 double *prz = rz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2125 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2126 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2127 nr, tmp_data, nr, anorm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2128 rcon, pz, prz, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2129 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2130 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2131 if (info != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2132 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2133 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2134 volatile double rcond_plus_one = rcon + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2135 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2136 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2137 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2138 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2139 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2140 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2141 sing_handler (rcon); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2142 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2143 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2144 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2145 rcon); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2146 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2147 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2148 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2149 if (info == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2150 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2151 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2152 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2153 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2154 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2155 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2156 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2157 nr, b_nc, tmp_data, nr, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2158 result, b.rows(), info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2159 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2160 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2161 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2162 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2163 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2164 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2165 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2166 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2167 } |
5785 | 2168 |
2169 if (typ == MatrixType::Full) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2170 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2171 info = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2172 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2173 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2174 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2175 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2176 ComplexMatrix atmp = *this; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2177 Complex *tmp_data = atmp.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2178 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2179 Array<Complex> z (2 * nc, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2180 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2181 Array<double> rz (2 * nc, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2182 double *prz = rz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2183 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2184 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2185 if (anorm < 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2186 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2187 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2188 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2189 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2190 // Throw-away extra info LAPACK gives so as to not change output. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2191 rcon = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2192 if (info != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2193 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2194 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2195 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2196 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2197 sing_handler (rcon); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2198 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2199 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2200 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2201 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2202 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2203 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2204 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2205 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2206 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2207 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2208 // Now calculate the condition number for |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2209 // non-singular matrix. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2210 char job = '1'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2211 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2212 nc, tmp_data, nr, anorm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2213 rcon, pz, prz, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2214 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2215 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2216 if (info != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2217 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2218 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2219 volatile double rcond_plus_one = rcon + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2220 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2221 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2222 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2223 info = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2224 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2225 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2226 sing_handler (rcon); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2227 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2228 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2229 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2230 rcon); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2231 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2232 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2233 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2234 if (info == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2235 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2236 retval = b; |
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2237 Complex *result = retval.fortran_vec (); |
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2238 |
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2239 octave_idx_type b_nc = b.cols (); |
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2240 |
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2241 char job = 'N'; |
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2242 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2243 nr, b_nc, tmp_data, nr, |
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2244 pipvt, result, b.rows(), info |
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2245 F77_CHAR_ARG_LEN (1))); |
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2246 } |
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2247 else |
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2248 mattype.mark_as_rectangular (); |
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2249 } |
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2250 } |
5785 | 2251 } |
2252 | |
2253 return retval; | |
2254 } | |
2255 | |
2256 ComplexMatrix | |
2257 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
2258 { | |
2259 octave_idx_type info; | |
7788 | 2260 double rcon; |
2261 return solve (typ, b, info, rcon, 0); | |
5785 | 2262 } |
2263 | |
2264 ComplexMatrix | |
2265 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
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2266 octave_idx_type& info) const |
5785 | 2267 { |
7788 | 2268 double rcon; |
2269 return solve (typ, b, info, rcon, 0); | |
5785 | 2270 } |
2271 | |
2272 ComplexMatrix | |
2273 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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2274 double& rcon) const |
5785 | 2275 { |
7788 | 2276 return solve (typ, b, info, rcon, 0); |
5785 | 2277 } |
2278 | |
2279 ComplexMatrix | |
2280 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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2281 double& rcon, solve_singularity_handler sing_handler, |
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2282 bool singular_fallback, blas_trans_type transt) const |
5785 | 2283 { |
2284 ComplexMatrix tmp (b); | |
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2285 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
5785 | 2286 } |
2287 | |
2288 ComplexMatrix | |
2289 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
2290 { | |
2291 octave_idx_type info; | |
7788 | 2292 double rcon; |
2293 return solve (typ, b, info, rcon, 0); | |
5785 | 2294 } |
2295 | |
2296 ComplexMatrix | |
2297 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
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2298 octave_idx_type& info) const |
5785 | 2299 { |
7788 | 2300 double rcon; |
2301 return solve (typ, b, info, rcon, 0); | |
5785 | 2302 } |
2303 | |
2304 ComplexMatrix | |
2305 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
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2306 octave_idx_type& info, double& rcon) const |
5785 | 2307 { |
7788 | 2308 return solve (typ, b, info, rcon, 0); |
5785 | 2309 } |
2310 | |
2311 ComplexMatrix | |
2312 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
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2313 octave_idx_type& info, double& rcon, |
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2314 solve_singularity_handler sing_handler, |
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2315 bool singular_fallback, blas_trans_type transt) const |
5785 | 2316 { |
2317 ComplexMatrix retval; | |
2318 int typ = mattype.type (); | |
2319 | |
2320 if (typ == MatrixType::Unknown) | |
2321 typ = mattype.type (*this); | |
2322 | |
2323 // Only calculate the condition number for LU/Cholesky | |
2324 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
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2325 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
5785 | 2326 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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2327 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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2328 else if (transt == blas_trans) |
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2329 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
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2330 else if (transt == blas_conj_trans) |
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2331 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
5785 | 2332 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
7788 | 2333 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
5785 | 2334 else if (typ != MatrixType::Rectangular) |
2335 { | |
2336 (*current_liboctave_error_handler) ("unknown matrix type"); | |
2337 return ComplexMatrix (); | |
2338 } | |
2339 | |
2340 // Rectangular or one of the above solvers flags a singular matrix | |
2341 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
2342 { | |
2343 octave_idx_type rank; | |
7788 | 2344 retval = lssolve (b, info, rank, rcon); |
5785 | 2345 } |
2346 | |
2347 return retval; | |
2348 } | |
2349 | |
2350 ComplexColumnVector | |
2351 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
2352 { | |
2353 octave_idx_type info; | |
7788 | 2354 double rcon; |
2355 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2356 } |
2357 | |
2358 ComplexColumnVector | |
2359 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2360 octave_idx_type& info) const |
5785 | 2361 { |
7788 | 2362 double rcon; |
2363 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2364 } |
2365 | |
2366 ComplexColumnVector | |
2367 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2368 octave_idx_type& info, double& rcon) const |
5785 | 2369 { |
7788 | 2370 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
5785 | 2371 } |
2372 | |
2373 ComplexColumnVector | |
2374 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2375 octave_idx_type& info, double& rcon, |
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2376 solve_singularity_handler sing_handler, blas_trans_type transt) const |
5785 | 2377 { |
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2378 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
5785 | 2379 } |
2380 | |
2381 ComplexColumnVector | |
2382 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
2383 { | |
2384 octave_idx_type info; | |
7788 | 2385 double rcon; |
2386 return solve (typ, b, info, rcon, 0); | |
5785 | 2387 } |
2388 | |
2389 ComplexColumnVector | |
2390 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2391 octave_idx_type& info) const |
5785 | 2392 { |
7788 | 2393 double rcon; |
2394 return solve (typ, b, info, rcon, 0); | |
5785 | 2395 } |
2396 | |
2397 ComplexColumnVector | |
2398 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2399 octave_idx_type& info, double& rcon) const |
5785 | 2400 { |
7788 | 2401 return solve (typ, b, info, rcon, 0); |
5785 | 2402 } |
2403 | |
2404 ComplexColumnVector | |
2405 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2406 octave_idx_type& info, double& rcon, |
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2407 solve_singularity_handler sing_handler, blas_trans_type transt) const |
5785 | 2408 { |
2409 | |
2410 ComplexMatrix tmp (b); | |
10352 | 2411 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
2412 return tmp.column(static_cast<octave_idx_type> (0)); | |
5785 | 2413 } |
2414 | |
2415 ComplexMatrix | |
458 | 2416 ComplexMatrix::solve (const Matrix& b) const |
2417 { | |
5275 | 2418 octave_idx_type info; |
7788 | 2419 double rcon; |
2420 return solve (b, info, rcon, 0); | |
458 | 2421 } |
2422 | |
2423 ComplexMatrix | |
5275 | 2424 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
458 | 2425 { |
7788 | 2426 double rcon; |
2427 return solve (b, info, rcon, 0); | |
458 | 2428 } |
2429 | |
2430 ComplexMatrix | |
7788 | 2431 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
458 | 2432 { |
7788 | 2433 return solve (b, info, rcon, 0); |
3480 | 2434 } |
2435 | |
2436 ComplexMatrix | |
7788 | 2437 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2438 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2439 { |
458 | 2440 ComplexMatrix tmp (b); |
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2441 return solve (tmp, info, rcon, sing_handler, transt); |
458 | 2442 } |
2443 | |
2444 ComplexMatrix | |
2445 ComplexMatrix::solve (const ComplexMatrix& b) const | |
2446 { | |
5275 | 2447 octave_idx_type info; |
7788 | 2448 double rcon; |
2449 return solve (b, info, rcon, 0); | |
458 | 2450 } |
2451 | |
2452 ComplexMatrix | |
5275 | 2453 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2454 { |
7788 | 2455 double rcon; |
2456 return solve (b, info, rcon, 0); | |
458 | 2457 } |
3480 | 2458 |
458 | 2459 ComplexMatrix |
7788 | 2460 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
458 | 2461 { |
7788 | 2462 return solve (b, info, rcon, 0); |
3480 | 2463 } |
2464 | |
2465 ComplexMatrix | |
7788 | 2466 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
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2467 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2468 { |
5785 | 2469 MatrixType mattype (*this); |
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2470 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
458 | 2471 } |
2472 | |
2473 ComplexColumnVector | |
3585 | 2474 ComplexMatrix::solve (const ColumnVector& b) const |
2475 { | |
5275 | 2476 octave_idx_type info; |
7788 | 2477 double rcon; |
2478 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2479 } |
2480 | |
2481 ComplexColumnVector | |
5275 | 2482 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2483 { |
7788 | 2484 double rcon; |
2485 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2486 } |
2487 | |
2488 ComplexColumnVector | |
5785 | 2489 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2490 double& rcon) const |
3585 | 2491 { |
7788 | 2492 return solve (ComplexColumnVector (b), info, rcon, 0); |
3585 | 2493 } |
2494 | |
2495 ComplexColumnVector | |
5785 | 2496 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2497 double& rcon, |
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2498 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3585 | 2499 { |
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2500 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
3585 | 2501 } |
2502 | |
2503 ComplexColumnVector | |
458 | 2504 ComplexMatrix::solve (const ComplexColumnVector& b) const |
2505 { | |
5275 | 2506 octave_idx_type info; |
7788 | 2507 double rcon; |
2508 return solve (b, info, rcon, 0); | |
458 | 2509 } |
2510 | |
2511 ComplexColumnVector | |
5275 | 2512 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2513 { |
7788 | 2514 double rcon; |
2515 return solve (b, info, rcon, 0); | |
458 | 2516 } |
2517 | |
2518 ComplexColumnVector | |
5275 | 2519 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2520 double& rcon) const |
458 | 2521 { |
7788 | 2522 return solve (b, info, rcon, 0); |
3480 | 2523 } |
2524 | |
2525 ComplexColumnVector | |
5275 | 2526 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2527 double& rcon, |
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2528 solve_singularity_handler sing_handler, blas_trans_type transt) const |
3480 | 2529 { |
5785 | 2530 MatrixType mattype (*this); |
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2531 return solve (mattype, b, info, rcon, sing_handler, transt); |
458 | 2532 } |
2533 | |
2534 ComplexMatrix | |
3585 | 2535 ComplexMatrix::lssolve (const Matrix& b) const |
2536 { | |
5275 | 2537 octave_idx_type info; |
2538 octave_idx_type rank; | |
7788 | 2539 double rcon; |
2540 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2541 } |
2542 | |
2543 ComplexMatrix | |
5275 | 2544 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
3585 | 2545 { |
5275 | 2546 octave_idx_type rank; |
7788 | 2547 double rcon; |
2548 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2549 } |
2550 | |
2551 ComplexMatrix | |
7076 | 2552 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
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2553 octave_idx_type& rank) const |
3585 | 2554 { |
7788 | 2555 double rcon; |
2556 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
7076 | 2557 } |
2558 | |
2559 ComplexMatrix | |
2560 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2561 octave_idx_type& rank, double& rcon) const |
7076 | 2562 { |
7788 | 2563 return lssolve (ComplexMatrix (b), info, rank, rcon); |
3585 | 2564 } |
2565 | |
2566 ComplexMatrix | |
458 | 2567 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
2568 { | |
5275 | 2569 octave_idx_type info; |
2570 octave_idx_type rank; | |
7788 | 2571 double rcon; |
2572 return lssolve (b, info, rank, rcon); | |
458 | 2573 } |
2574 | |
2575 ComplexMatrix | |
5275 | 2576 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2577 { |
5275 | 2578 octave_idx_type rank; |
7788 | 2579 double rcon; |
2580 return lssolve (b, info, rank, rcon); | |
458 | 2581 } |
2582 | |
2583 ComplexMatrix | |
7076 | 2584 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2585 octave_idx_type& rank) const |
7076 | 2586 { |
7788 | 2587 double rcon; |
2588 return lssolve (b, info, rank, rcon); | |
7076 | 2589 } |
2590 | |
2591 ComplexMatrix | |
2592 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
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2593 octave_idx_type& rank, double& rcon) const |
458 | 2594 { |
1948 | 2595 ComplexMatrix retval; |
2596 | |
5275 | 2597 octave_idx_type nrhs = b.cols (); |
2598 | |
2599 octave_idx_type m = rows (); | |
2600 octave_idx_type n = cols (); | |
458 | 2601 |
6924 | 2602 if (m != b.rows ()) |
1948 | 2603 (*current_liboctave_error_handler) |
2604 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2605 else if (m== 0 || n == 0 || b.cols () == 0) |
2606 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
1948 | 2607 else |
458 | 2608 { |
7072 | 2609 volatile octave_idx_type minmn = (m < n ? m : n); |
2610 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2611 rcon = -1.0; |
7072 | 2612 |
2613 if (m != n) | |
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2614 { |
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2615 retval = ComplexMatrix (maxmn, nrhs); |
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2616 |
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2617 for (octave_idx_type j = 0; j < nrhs; j++) |
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2618 for (octave_idx_type i = 0; i < m; i++) |
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2619 retval.elem (i, j) = b.elem (i, j); |
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2620 } |
7072 | 2621 else |
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2622 retval = b; |
7072 | 2623 |
1948 | 2624 ComplexMatrix atmp = *this; |
2625 Complex *tmp_data = atmp.fortran_vec (); | |
2626 | |
7072 | 2627 Complex *pretval = retval.fortran_vec (); |
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2628 Array<double> s (minmn, 1); |
7071 | 2629 double *ps = s.fortran_vec (); |
2563 | 2630 |
7072 | 2631 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2632 octave_idx_type lwork = -1; |
3752 | 2633 |
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2634 Array<Complex> work (1, 1); |
7079 | 2635 |
7477 | 2636 octave_idx_type smlsiz; |
2637 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
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2638 F77_CONST_CHAR_ARG2 (" ", 1), |
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2639 0, 0, 0, 0, smlsiz |
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2640 F77_CHAR_ARG_LEN (6) |
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2641 F77_CHAR_ARG_LEN (1)); |
7079 | 2642 |
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2643 octave_idx_type mnthr; |
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2644 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2645 F77_CONST_CHAR_ARG2 (" ", 1), |
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2646 m, n, nrhs, -1, mnthr |
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2647 F77_CHAR_ARG_LEN (6) |
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2648 F77_CHAR_ARG_LEN (1)); |
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2649 |
7079 | 2650 // We compute the size of rwork and iwork because ZGELSD in |
2651 // older versions of LAPACK does not return them on a query | |
2652 // call. | |
7124 | 2653 double dminmn = static_cast<double> (minmn); |
2654 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
7079 | 2655 #if defined (HAVE_LOG2) |
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2656 double tmp = log2 (dminmn / dsmlsizp1); |
7079 | 2657 #else |
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2658 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
7079 | 2659 #endif |
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2660 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2661 if (nlvl < 0) |
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2662 nlvl = 0; |
7079 | 2663 |
2664 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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2665 + 3*smlsiz*nrhs + std::max ((smlsiz+1)*(smlsiz+1), |
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2666 n*(1+nrhs) + 2*nrhs); |
7079 | 2667 if (lrwork < 1) |
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2668 lrwork = 1; |
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2669 Array<double> rwork (lrwork, 1); |
7079 | 2670 double *prwork = rwork.fortran_vec (); |
2671 | |
2672 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2673 if (liwork < 1) | |
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2674 liwork = 1; |
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2675 Array<octave_idx_type> iwork (liwork, 1); |
7079 | 2676 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2677 |
2678 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2679 ps, rcon, rank, work.fortran_vec (), |
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2680 lwork, prwork, piwork, info)); |
1948 | 2681 |
7476 | 2682 // The workspace query is broken in at least LAPACK 3.0.0 |
7488
6470f946a425
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2683 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2684 // should provide sufficient workspace for ZGELSD to operate |
7476 | 2685 // efficiently. |
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2686 if (n > m && n >= mnthr) |
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2687 { |
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2688 octave_idx_type addend = m; |
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2689 |
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2690 if (2*m-4 > addend) |
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2691 addend = 2*m-4; |
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|
2692 |
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2693 if (nrhs > addend) |
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2694 addend = nrhs; |
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2695 |
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2696 if (n-3*m > addend) |
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|
2697 addend = n-3*m; |
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|
2698 |
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2699 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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|
2700 |
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2701 if (std::real (work(0)) < lworkaround) |
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|
2702 work(0) = lworkaround; |
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|
2703 } |
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avoid another xGELSD workspace query bug
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2704 else if (m >= n) |
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|
2705 { |
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|
2706 octave_idx_type lworkaround = 2*m + m*nrhs; |
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|
2707 |
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2708 if (std::real (work(0)) < lworkaround) |
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2709 work(0) = lworkaround; |
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2710 } |
7476 | 2711 |
7482
29980c6b8604
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changeset
|
2712 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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merge MArray classes & improve Array interface
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2713 work.resize (lwork, 1); |
7482
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|
2714 |
29980c6b8604
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changeset
|
2715 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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|
2716 maxmn, ps, rcon, rank, |
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|
2717 work.fortran_vec (), lwork, |
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|
2718 prwork, piwork, info)); |
7482
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2719 |
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|
2720 if (s.elem (0) == 0.0) |
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|
2721 rcon = 0.0; |
1948 | 2722 else |
10314
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|
2723 rcon = s.elem (minmn - 1) / s.elem (0); |
7482
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|
2724 |
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|
2725 retval.resize (n, nrhs); |
458 | 2726 } |
2727 | |
2728 return retval; | |
2729 } | |
2730 | |
2731 ComplexColumnVector | |
3585 | 2732 ComplexMatrix::lssolve (const ColumnVector& b) const |
2733 { | |
5275 | 2734 octave_idx_type info; |
2735 octave_idx_type rank; | |
7788 | 2736 double rcon; |
2737 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2738 } |
2739 | |
2740 ComplexColumnVector | |
5275 | 2741 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2742 { |
5275 | 2743 octave_idx_type rank; |
7788 | 2744 double rcon; |
2745 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2746 } |
2747 | |
2748 ComplexColumnVector | |
7076 | 2749 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
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|
2750 octave_idx_type& rank) const |
3585 | 2751 { |
7788 | 2752 double rcon; |
2753 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
7076 | 2754 } |
2755 | |
2756 ComplexColumnVector | |
2757 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
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2758 octave_idx_type& rank, double& rcon) const |
7076 | 2759 { |
7788 | 2760 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
3585 | 2761 } |
2762 | |
2763 ComplexColumnVector | |
458 | 2764 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
2765 { | |
5275 | 2766 octave_idx_type info; |
2767 octave_idx_type rank; | |
7788 | 2768 double rcon; |
2769 return lssolve (b, info, rank, rcon); | |
458 | 2770 } |
2771 | |
2772 ComplexColumnVector | |
5275 | 2773 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2774 { |
5275 | 2775 octave_idx_type rank; |
7788 | 2776 double rcon; |
2777 return lssolve (b, info, rank, rcon); | |
458 | 2778 } |
2779 | |
2780 ComplexColumnVector | |
5275 | 2781 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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|
2782 octave_idx_type& rank) const |
458 | 2783 { |
7788 | 2784 double rcon; |
2785 return lssolve (b, info, rank, rcon); | |
7076 | 2786 |
2787 } | |
2788 | |
2789 ComplexColumnVector | |
2790 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
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2791 octave_idx_type& rank, double& rcon) const |
7076 | 2792 { |
1948 | 2793 ComplexColumnVector retval; |
2794 | |
5275 | 2795 octave_idx_type nrhs = 1; |
2796 | |
2797 octave_idx_type m = rows (); | |
2798 octave_idx_type n = cols (); | |
458 | 2799 |
6924 | 2800 if (m != b.length ()) |
1948 | 2801 (*current_liboctave_error_handler) |
6924 | 2802 ("matrix dimension mismatch solution of linear equations"); |
2803 else if (m == 0 || n == 0 || b.cols () == 0) | |
2804 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
1948 | 2805 else |
458 | 2806 { |
7072 | 2807 volatile octave_idx_type minmn = (m < n ? m : n); |
2808 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2809 rcon = -1.0; |
7072 | 2810 |
2811 if (m != n) | |
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2812 { |
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2813 retval = ComplexColumnVector (maxmn); |
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2814 |
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2815 for (octave_idx_type i = 0; i < m; i++) |
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2816 retval.elem (i) = b.elem (i); |
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2817 } |
7072 | 2818 else |
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|
2819 retval = b; |
7072 | 2820 |
1948 | 2821 ComplexMatrix atmp = *this; |
2822 Complex *tmp_data = atmp.fortran_vec (); | |
2823 | |
7072 | 2824 Complex *pretval = retval.fortran_vec (); |
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|
2825 Array<double> s (minmn, 1); |
7071 | 2826 double *ps = s.fortran_vec (); |
1948 | 2827 |
7072 | 2828 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2829 octave_idx_type lwork = -1; |
3752 | 2830 |
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2831 Array<Complex> work (1, 1); |
7079 | 2832 |
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2833 octave_idx_type smlsiz; |
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2834 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2835 F77_CONST_CHAR_ARG2 (" ", 1), |
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2836 0, 0, 0, 0, smlsiz |
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2837 F77_CHAR_ARG_LEN (6) |
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2838 F77_CHAR_ARG_LEN (1)); |
7079 | 2839 |
2840 // We compute the size of rwork and iwork because ZGELSD in | |
2841 // older versions of LAPACK does not return them on a query | |
2842 // call. | |
7124 | 2843 double dminmn = static_cast<double> (minmn); |
2844 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
7079 | 2845 #if defined (HAVE_LOG2) |
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2846 double tmp = log2 (dminmn / dsmlsizp1); |
7079 | 2847 #else |
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2848 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
7079 | 2849 #endif |
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2850 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2851 if (nlvl < 0) |
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2852 nlvl = 0; |
7079 | 2853 |
2854 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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2855 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
7079 | 2856 if (lrwork < 1) |
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2857 lrwork = 1; |
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2858 Array<double> rwork (lrwork, 1); |
7079 | 2859 double *prwork = rwork.fortran_vec (); |
2860 | |
2861 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2862 if (liwork < 1) | |
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2863 liwork = 1; |
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2864 Array<octave_idx_type> iwork (liwork, 1); |
7079 | 2865 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2866 |
2867 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2868 ps, rcon, rank, work.fortran_vec (), |
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2869 lwork, prwork, piwork, info)); |
1948 | 2870 |
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2871 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2872 work.resize (lwork, 1); |
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2873 rwork.resize (static_cast<octave_idx_type> (rwork(0)), 1); |
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2874 iwork.resize (iwork(0), 1); |
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2875 |
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2876 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2877 maxmn, ps, rcon, rank, |
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2878 work.fortran_vec (), lwork, |
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2879 prwork, piwork, info)); |
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2880 |
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2881 if (rank < minmn) |
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2882 { |
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2883 if (s.elem (0) == 0.0) |
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2884 rcon = 0.0; |
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|
2885 else |
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2886 rcon = s.elem (minmn - 1) / s.elem (0); |
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2887 |
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2888 retval.resize (n, nrhs); |
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2889 } |
458 | 2890 } |
2891 | |
2892 return retval; | |
2893 } | |
2894 | |
1205 | 2895 // column vector by row vector -> matrix operations |
2896 | |
2897 ComplexMatrix | |
2898 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
2899 { | |
2900 ComplexColumnVector tmp (v); | |
2901 return tmp * a; | |
2902 } | |
2903 | |
2904 ComplexMatrix | |
2905 operator * (const ComplexColumnVector& a, const RowVector& b) | |
2906 { | |
2907 ComplexRowVector tmp (b); | |
2908 return a * tmp; | |
2909 } | |
2910 | |
2911 ComplexMatrix | |
2912 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
2913 { | |
1948 | 2914 ComplexMatrix retval; |
2915 | |
5275 | 2916 octave_idx_type len = v.length (); |
3233 | 2917 |
2918 if (len != 0) | |
1205 | 2919 { |
5275 | 2920 octave_idx_type a_len = a.length (); |
3233 | 2921 |
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2922 retval = ComplexMatrix (len, a_len); |
3233 | 2923 Complex *c = retval.fortran_vec (); |
2924 | |
4552 | 2925 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
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2926 F77_CONST_CHAR_ARG2 ("N", 1), |
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2927 len, a_len, 1, 1.0, v.data (), len, |
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2928 a.data (), 1, 0.0, c, len |
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2929 F77_CHAR_ARG_LEN (1) |
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|
2930 F77_CHAR_ARG_LEN (1))); |
1205 | 2931 } |
2932 | |
1948 | 2933 return retval; |
1205 | 2934 } |
2935 | |
458 | 2936 // matrix by diagonal matrix -> matrix operations |
2937 | |
2938 ComplexMatrix& | |
2939 ComplexMatrix::operator += (const DiagMatrix& a) | |
2940 { | |
5275 | 2941 octave_idx_type nr = rows (); |
2942 octave_idx_type nc = cols (); | |
2943 | |
2944 octave_idx_type a_nr = rows (); | |
2945 octave_idx_type a_nc = cols (); | |
2384 | 2946 |
2947 if (nr != a_nr || nc != a_nc) | |
458 | 2948 { |
2384 | 2949 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2950 return *this; |
458 | 2951 } |
2952 | |
5275 | 2953 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2954 elem (i, i) += a.elem (i, i); |
2955 | |
2956 return *this; | |
2957 } | |
2958 | |
2959 ComplexMatrix& | |
2960 ComplexMatrix::operator -= (const DiagMatrix& a) | |
2961 { | |
5275 | 2962 octave_idx_type nr = rows (); |
2963 octave_idx_type nc = cols (); | |
2964 | |
2965 octave_idx_type a_nr = rows (); | |
2966 octave_idx_type a_nc = cols (); | |
2384 | 2967 |
2968 if (nr != a_nr || nc != a_nc) | |
458 | 2969 { |
2384 | 2970 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 2971 return *this; |
458 | 2972 } |
2973 | |
5275 | 2974 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2975 elem (i, i) -= a.elem (i, i); |
2976 | |
2977 return *this; | |
2978 } | |
2979 | |
2980 ComplexMatrix& | |
2981 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
2982 { | |
5275 | 2983 octave_idx_type nr = rows (); |
2984 octave_idx_type nc = cols (); | |
2985 | |
2986 octave_idx_type a_nr = rows (); | |
2987 octave_idx_type a_nc = cols (); | |
2384 | 2988 |
2989 if (nr != a_nr || nc != a_nc) | |
458 | 2990 { |
2384 | 2991 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2992 return *this; |
458 | 2993 } |
2994 | |
5275 | 2995 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2996 elem (i, i) += a.elem (i, i); |
2997 | |
2998 return *this; | |
2999 } | |
3000 | |
3001 ComplexMatrix& | |
3002 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
3003 { | |
5275 | 3004 octave_idx_type nr = rows (); |
3005 octave_idx_type nc = cols (); | |
3006 | |
3007 octave_idx_type a_nr = rows (); | |
3008 octave_idx_type a_nc = cols (); | |
2384 | 3009 |
3010 if (nr != a_nr || nc != a_nc) | |
458 | 3011 { |
2384 | 3012 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3013 return *this; |
458 | 3014 } |
3015 | |
5275 | 3016 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3017 elem (i, i) -= a.elem (i, i); |
3018 | |
3019 return *this; | |
3020 } | |
3021 | |
3022 // matrix by matrix -> matrix operations | |
3023 | |
3024 ComplexMatrix& | |
3025 ComplexMatrix::operator += (const Matrix& a) | |
3026 { | |
5275 | 3027 octave_idx_type nr = rows (); |
3028 octave_idx_type nc = cols (); | |
3029 | |
3030 octave_idx_type a_nr = a.rows (); | |
3031 octave_idx_type a_nc = a.cols (); | |
2384 | 3032 |
3033 if (nr != a_nr || nc != a_nc) | |
458 | 3034 { |
2384 | 3035 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
458 | 3036 return *this; |
3037 } | |
3038 | |
3039 if (nr == 0 || nc == 0) | |
3040 return *this; | |
3041 | |
3042 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3043 | |
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3044 mx_inline_add2 (length (), d, a.data ()); |
458 | 3045 return *this; |
3046 } | |
3047 | |
3048 ComplexMatrix& | |
3049 ComplexMatrix::operator -= (const Matrix& a) | |
3050 { | |
5275 | 3051 octave_idx_type nr = rows (); |
3052 octave_idx_type nc = cols (); | |
3053 | |
3054 octave_idx_type a_nr = a.rows (); | |
3055 octave_idx_type a_nc = a.cols (); | |
2384 | 3056 |
3057 if (nr != a_nr || nc != a_nc) | |
458 | 3058 { |
2384 | 3059 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
458 | 3060 return *this; |
3061 } | |
3062 | |
3063 if (nr == 0 || nc == 0) | |
3064 return *this; | |
3065 | |
3066 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3067 | |
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|
3068 mx_inline_sub2 (length (), d, a.data ()); |
458 | 3069 return *this; |
3070 } | |
3071 | |
3072 // unary operations | |
3073 | |
2964 | 3074 boolMatrix |
458 | 3075 ComplexMatrix::operator ! (void) const |
3076 { | |
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3077 if (any_element_is_nan ()) |
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3078 gripe_nan_to_logical_conversion (); |
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3079 |
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3080 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
458 | 3081 } |
3082 | |
3083 // other operations | |
3084 | |
2384 | 3085 bool |
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3086 ComplexMatrix::any_element_is_nan (void) const |
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3087 { |
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3088 return do_mx_check<Complex> (*this, mx_inline_any_nan); |
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3089 } |
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3090 |
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3091 bool |
2384 | 3092 ComplexMatrix::any_element_is_inf_or_nan (void) const |
3093 { | |
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3094 return ! do_mx_check<Complex> (*this, mx_inline_all_finite); |
2384 | 3095 } |
3096 | |
2408 | 3097 // Return true if no elements have imaginary components. |
3098 | |
3099 bool | |
3100 ComplexMatrix::all_elements_are_real (void) const | |
3101 { | |
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3102 return do_mx_check<Complex> (*this, mx_inline_all_real); |
2408 | 3103 } |
3104 | |
1968 | 3105 // Return nonzero if any element of CM has a non-integer real or |
3106 // imaginary part. Also extract the largest and smallest (real or | |
3107 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
3108 | |
2384 | 3109 bool |
1968 | 3110 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
3111 { | |
5275 | 3112 octave_idx_type nr = rows (); |
3113 octave_idx_type nc = cols (); | |
1968 | 3114 |
3115 if (nr > 0 && nc > 0) | |
3116 { | |
3117 Complex val = elem (0, 0); | |
3118 | |
5315 | 3119 double r_val = std::real (val); |
3120 double i_val = std::imag (val); | |
1968 | 3121 |
3122 max_val = r_val; | |
3123 min_val = r_val; | |
3124 | |
3125 if (i_val > max_val) | |
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3126 max_val = i_val; |
1968 | 3127 |
3128 if (i_val < max_val) | |
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3129 min_val = i_val; |
1968 | 3130 } |
3131 else | |
2384 | 3132 return false; |
1968 | 3133 |
5275 | 3134 for (octave_idx_type j = 0; j < nc; j++) |
3135 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3136 { |
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3137 Complex val = elem (i, j); |
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3138 |
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3139 double r_val = std::real (val); |
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3140 double i_val = std::imag (val); |
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3141 |
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3142 if (r_val > max_val) |
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3143 max_val = r_val; |
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changeset
|
3144 |
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|
3145 if (i_val > max_val) |
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|
3146 max_val = i_val; |
07ebe522dac2
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|
3147 |
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|
3148 if (r_val < min_val) |
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|
3149 min_val = r_val; |
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|
3150 |
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|
3151 if (i_val < min_val) |
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|
3152 min_val = i_val; |
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untabify liboctave C++ sources
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|
3153 |
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|
3154 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
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|
3155 return false; |
1968 | 3156 } |
2384 | 3157 |
3158 return true; | |
1968 | 3159 } |
3160 | |
2384 | 3161 bool |
1968 | 3162 ComplexMatrix::too_large_for_float (void) const |
3163 { | |
5275 | 3164 octave_idx_type nr = rows (); |
3165 octave_idx_type nc = cols (); | |
3166 | |
3167 for (octave_idx_type j = 0; j < nc; j++) | |
3168 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3169 { |
10314
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|
3170 Complex val = elem (i, j); |
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|
3171 |
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|
3172 double r_val = std::real (val); |
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|
3173 double i_val = std::imag (val); |
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|
3174 |
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|
3175 if ((! (xisnan (r_val) || xisinf (r_val)) |
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|
3176 && fabs (r_val) > FLT_MAX) |
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3177 || (! (xisnan (i_val) || xisinf (i_val)) |
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3178 && fabs (i_val) > FLT_MAX)) |
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|
3179 return true; |
1968 | 3180 } |
3181 | |
2384 | 3182 return false; |
1968 | 3183 } |
3184 | |
5775 | 3185 // FIXME Do these really belong here? Maybe they should be |
4015 | 3186 // in a base class? |
3187 | |
2832 | 3188 boolMatrix |
4015 | 3189 ComplexMatrix::all (int dim) const |
458 | 3190 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
3191 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
458 | 3192 } |
3193 | |
2832 | 3194 boolMatrix |
4015 | 3195 ComplexMatrix::any (int dim) const |
458 | 3196 { |
10362
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|
3197 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
458 | 3198 } |
3199 | |
3200 ComplexMatrix | |
3723 | 3201 ComplexMatrix::cumprod (int dim) const |
458 | 3202 { |
10362
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|
3203 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
458 | 3204 } |
3205 | |
3206 ComplexMatrix | |
3723 | 3207 ComplexMatrix::cumsum (int dim) const |
458 | 3208 { |
10362
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|
3209 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum); |
458 | 3210 } |
3211 | |
3212 ComplexMatrix | |
3723 | 3213 ComplexMatrix::prod (int dim) const |
458 | 3214 { |
10362
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simplify appliers in mx-inlines.cc
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|
3215 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
458 | 3216 } |
3217 | |
3218 ComplexMatrix | |
3723 | 3219 ComplexMatrix::sum (int dim) const |
458 | 3220 { |
10362
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|
3221 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum); |
458 | 3222 } |
3223 | |
3224 ComplexMatrix | |
3723 | 3225 ComplexMatrix::sumsq (int dim) const |
458 | 3226 { |
10362
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simplify appliers in mx-inlines.cc
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|
3227 return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq); |
458 | 3228 } |
3229 | |
4329 | 3230 Matrix ComplexMatrix::abs (void) const |
3231 { | |
10363
a0728e81ed25
improve diag matrix interface & implementation
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
3232 return do_mx_unary_map<double, Complex, std::abs> (*this); |
4329 | 3233 } |
3234 | |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3235 ComplexMatrix |
5275 | 3236 ComplexMatrix::diag (octave_idx_type k) const |
458 | 3237 { |
10350
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merge MArray classes & improve Array interface
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diff
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|
3238 return MArray<Complex>::diag (k); |
458 | 3239 } |
3240 | |
2354 | 3241 bool |
5275 | 3242 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
2354 | 3243 { |
3244 bool retval = true; | |
3245 | |
5275 | 3246 octave_idx_type nc = columns (); |
3247 | |
3248 for (octave_idx_type j = 0; j < nc; j++) | |
2354 | 3249 { |
5315 | 3250 if (std::imag (elem (i, j)) != 0.0) |
10314
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|
3251 { |
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|
3252 retval = false; |
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|
3253 break; |
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|
3254 } |
2354 | 3255 } |
3256 | |
10314
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|
3257 return retval; |
2354 | 3258 } |
3259 | |
3260 bool | |
5275 | 3261 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
2354 | 3262 { |
3263 bool retval = true; | |
3264 | |
5275 | 3265 octave_idx_type nr = rows (); |
3266 | |
3267 for (octave_idx_type i = 0; i < nr; i++) | |
2354 | 3268 { |
5315 | 3269 if (std::imag (elem (i, j)) != 0.0) |
10314
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|
3270 { |
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|
3271 retval = false; |
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|
3272 break; |
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|
3273 } |
2354 | 3274 } |
3275 | |
10314
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|
3276 return retval; |
2354 | 3277 } |
891 | 3278 |
458 | 3279 ComplexColumnVector |
3280 ComplexMatrix::row_min (void) const | |
3281 { | |
5275 | 3282 Array<octave_idx_type> dummy_idx; |
4587 | 3283 return row_min (dummy_idx); |
458 | 3284 } |
3285 | |
3286 ComplexColumnVector | |
5275 | 3287 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
458 | 3288 { |
3289 ComplexColumnVector result; | |
3290 | |
5275 | 3291 octave_idx_type nr = rows (); |
3292 octave_idx_type nc = cols (); | |
458 | 3293 |
3294 if (nr > 0 && nc > 0) | |
3295 { | |
3296 result.resize (nr); | |
10350
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|
3297 idx_arg.resize (nr, 1); |
458 | 3298 |
5275 | 3299 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3300 { |
10314
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untabify liboctave C++ sources
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|
3301 bool real_only = row_is_real_only (i); |
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|
3302 |
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|
3303 octave_idx_type idx_j; |
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|
3304 |
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|
3305 Complex tmp_min; |
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|
3306 |
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|
3307 double abs_min = octave_NaN; |
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|
3308 |
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changeset
|
3309 for (idx_j = 0; idx_j < nc; idx_j++) |
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|
3310 { |
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changeset
|
3311 tmp_min = elem (i, idx_j); |
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|
3312 |
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|
3313 if (! xisnan (tmp_min)) |
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|
3314 { |
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changeset
|
3315 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
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|
3316 break; |
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diff
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|
3317 } |
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|
3318 } |
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|
3319 |
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|
3320 for (octave_idx_type j = idx_j+1; j < nc; j++) |
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|
3321 { |
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changeset
|
3322 Complex tmp = elem (i, j); |
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|
3323 |
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|
3324 if (xisnan (tmp)) |
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|
3325 continue; |
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|
3326 |
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changeset
|
3327 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
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|
3328 |
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|
3329 if (abs_tmp < abs_min) |
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|
3330 { |
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|
3331 idx_j = j; |
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|
3332 tmp_min = tmp; |
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|
3333 abs_min = abs_tmp; |
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|
3334 } |
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|
3335 } |
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|
3336 |
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|
3337 if (xisnan (tmp_min)) |
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|
3338 { |
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|
3339 result.elem (i) = Complex_NaN_result; |
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|
3340 idx_arg.elem (i) = 0; |
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|
3341 } |
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|
3342 else |
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|
3343 { |
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|
3344 result.elem (i) = tmp_min; |
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|
3345 idx_arg.elem (i) = idx_j; |
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|
3346 } |
458 | 3347 } |
3348 } | |
3349 | |
3350 return result; | |
3351 } | |
3352 | |
3353 ComplexColumnVector | |
3354 ComplexMatrix::row_max (void) const | |
3355 { | |
5275 | 3356 Array<octave_idx_type> dummy_idx; |
4587 | 3357 return row_max (dummy_idx); |
458 | 3358 } |
3359 | |
3360 ComplexColumnVector | |
5275 | 3361 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
458 | 3362 { |
3363 ComplexColumnVector result; | |
3364 | |
5275 | 3365 octave_idx_type nr = rows (); |
3366 octave_idx_type nc = cols (); | |
458 | 3367 |
3368 if (nr > 0 && nc > 0) | |
3369 { | |
3370 result.resize (nr); | |
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|
3371 idx_arg.resize (nr, 1); |
458 | 3372 |
5275 | 3373 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3374 { |
10314
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|
3375 bool real_only = row_is_real_only (i); |
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|
3376 |
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|
3377 octave_idx_type idx_j; |
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|
3378 |
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|
3379 Complex tmp_max; |
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|
3380 |
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|
3381 double abs_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3382 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3383 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3384 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3385 tmp_max = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3386 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3387 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3388 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3389 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
|
3390 break; |
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 } |
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 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
|
3395 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3396 Complex tmp = elem (i, j); |
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 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3399 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3400 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3401 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
|
3402 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3403 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3404 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3405 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3406 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3407 abs_max = abs_tmp; |
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 } |
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 if (xisnan (tmp_max)) |
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 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3414 idx_arg.elem (i) = 0; |
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 else |
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 result.elem (i) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3419 idx_arg.elem (i) = idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3420 } |
458 | 3421 } |
3422 } | |
3423 | |
3424 return result; | |
3425 } | |
3426 | |
3427 ComplexRowVector | |
3428 ComplexMatrix::column_min (void) const | |
3429 { | |
5275 | 3430 Array<octave_idx_type> dummy_idx; |
4587 | 3431 return column_min (dummy_idx); |
458 | 3432 } |
3433 | |
3434 ComplexRowVector | |
5275 | 3435 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
458 | 3436 { |
3437 ComplexRowVector result; | |
3438 | |
5275 | 3439 octave_idx_type nr = rows (); |
3440 octave_idx_type nc = cols (); | |
458 | 3441 |
3442 if (nr > 0 && nc > 0) | |
3443 { | |
3444 result.resize (nc); | |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3445 idx_arg.resize (1, nc); |
458 | 3446 |
5275 | 3447 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3448 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3449 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3450 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3451 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3452 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3453 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3454 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3455 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3456 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3457 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3458 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3459 tmp_min = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3460 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3461 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3462 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3463 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
|
3464 break; |
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 } |
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 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
|
3469 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3470 Complex tmp = elem (i, j); |
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 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3473 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3474 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3475 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
|
3476 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3477 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3478 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3479 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3480 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3481 abs_min = abs_tmp; |
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 } |
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 if (xisnan (tmp_min)) |
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 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3488 idx_arg.elem (j) = 0; |
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 else |
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 result.elem (j) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3493 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3494 } |
458 | 3495 } |
3496 } | |
3497 | |
3498 return result; | |
3499 } | |
3500 | |
3501 ComplexRowVector | |
3502 ComplexMatrix::column_max (void) const | |
3503 { | |
5275 | 3504 Array<octave_idx_type> dummy_idx; |
4587 | 3505 return column_max (dummy_idx); |
458 | 3506 } |
3507 | |
3508 ComplexRowVector | |
5275 | 3509 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
458 | 3510 { |
3511 ComplexRowVector result; | |
3512 | |
5275 | 3513 octave_idx_type nr = rows (); |
3514 octave_idx_type nc = cols (); | |
458 | 3515 |
3516 if (nr > 0 && nc > 0) | |
3517 { | |
3518 result.resize (nc); | |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3519 idx_arg.resize (1, nc); |
458 | 3520 |
5275 | 3521 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3522 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3523 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3524 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3525 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3526 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3527 Complex tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3528 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3529 double abs_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3530 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3531 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3532 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3533 tmp_max = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3534 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3535 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3536 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3537 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
|
3538 break; |
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 } |
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 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
|
3543 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3544 Complex tmp = elem (i, j); |
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 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3547 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3548 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3549 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
|
3550 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3551 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3552 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3553 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3554 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3555 abs_max = abs_tmp; |
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 } |
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 if (xisnan (tmp_max)) |
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 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3562 idx_arg.elem (j) = 0; |
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 else |
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 result.elem (j) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3567 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3568 } |
458 | 3569 } |
3570 } | |
3571 | |
3572 return result; | |
3573 } | |
3574 | |
3575 // i/o | |
3576 | |
3504 | 3577 std::ostream& |
3578 operator << (std::ostream& os, const ComplexMatrix& a) | |
458 | 3579 { |
5275 | 3580 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 3581 { |
5275 | 3582 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
|
3583 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3584 os << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3585 octave_write_complex (os, a.elem (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3586 } |
458 | 3587 os << "\n"; |
3588 } | |
3589 return os; | |
3590 } | |
3591 | |
3504 | 3592 std::istream& |
3593 operator >> (std::istream& is, ComplexMatrix& a) | |
458 | 3594 { |
5275 | 3595 octave_idx_type nr = a.rows (); |
3596 octave_idx_type nc = a.cols (); | |
458 | 3597 |
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3598 if (nr > 0 && nc > 0) |
458 | 3599 { |
3600 Complex tmp; | |
5275 | 3601 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
|
3602 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3603 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3604 tmp = octave_read_value<Complex> (is); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3605 if (is) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3606 a.elem (i, j) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3607 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3608 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3609 } |
458 | 3610 } |
3611 | |
2993 | 3612 done: |
3613 | |
458 | 3614 return is; |
3615 } | |
3616 | |
1819 | 3617 ComplexMatrix |
3618 Givens (const Complex& x, const Complex& y) | |
3619 { | |
3620 double cc; | |
3621 Complex cs, temp_r; | |
3622 | |
3887 | 3623 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
1819 | 3624 |
3625 ComplexMatrix g (2, 2); | |
3626 | |
3627 g.elem (0, 0) = cc; | |
3628 g.elem (1, 1) = cc; | |
3629 g.elem (0, 1) = cs; | |
3630 g.elem (1, 0) = -conj (cs); | |
3631 | |
3632 return g; | |
3633 } | |
3634 | |
3635 ComplexMatrix | |
3636 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3637 const ComplexMatrix& c) |
1819 | 3638 { |
3639 ComplexMatrix retval; | |
3640 | |
5775 | 3641 // FIXME -- need to check that a, b, and c are all the same |
1819 | 3642 // size. |
3643 | |
3644 // Compute Schur decompositions | |
3645 | |
3646 ComplexSCHUR as (a, "U"); | |
3647 ComplexSCHUR bs (b, "U"); | |
3648 | |
3649 // Transform c to new coordinates. | |
3650 | |
3651 ComplexMatrix ua = as.unitary_matrix (); | |
3652 ComplexMatrix sch_a = as.schur_matrix (); | |
3653 | |
3654 ComplexMatrix ub = bs.unitary_matrix (); | |
3655 ComplexMatrix sch_b = bs.schur_matrix (); | |
3656 | |
3657 ComplexMatrix cx = ua.hermitian () * c * ub; | |
3658 | |
3659 // Solve the sylvester equation, back-transform, and return the | |
3660 // solution. | |
3661 | |
5275 | 3662 octave_idx_type a_nr = a.rows (); |
3663 octave_idx_type b_nr = b.rows (); | |
1819 | 3664 |
3665 double scale; | |
5275 | 3666 octave_idx_type info; |
1950 | 3667 |
3668 Complex *pa = sch_a.fortran_vec (); | |
3669 Complex *pb = sch_b.fortran_vec (); | |
3670 Complex *px = cx.fortran_vec (); | |
1819 | 3671 |
4552 | 3672 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
|
3673 F77_CONST_CHAR_ARG2 ("N", 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3674 1, a_nr, b_nr, pa, a_nr, pb, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3675 b_nr, px, a_nr, scale, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3676 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3677 F77_CHAR_ARG_LEN (1))); |
1950 | 3678 |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3679 // FIXME -- check info? |
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3680 |
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3681 retval = -ua * cx * ub.hermitian (); |
1819 | 3682 |
3683 return retval; | |
3684 } | |
3685 | |
2828 | 3686 ComplexMatrix |
3687 operator * (const ComplexMatrix& m, const Matrix& a) | |
3688 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3689 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
|
3690 return ComplexMatrix (real (m) * a, imag (m) * a); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3691 else |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3692 return m * ComplexMatrix (a); |
2828 | 3693 } |
3694 | |
3695 ComplexMatrix | |
3696 operator * (const Matrix& m, const ComplexMatrix& a) | |
3697 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3698 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
|
3699 return ComplexMatrix (m * real (a), m * imag (a)); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3700 else |
11352
5ea2644b0111
fix cut and paste error in Matrix by ComplexMatrix multiplication operator
John W. Eaton <jwe@octave.org>
parents:
11130
diff
changeset
|
3701 return ComplexMatrix (m) * a; |
2828 | 3702 } |
3703 | |
6162 | 3704 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
3705 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
3706 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
3707 %!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
|
3708 %!assert([1 i]*[i 0]', -i); |
6162 | 3709 */ |
3710 | |
3711 /* Test some simple identities | |
3712 %!shared M, cv, rv | |
3713 %! M = randn(10,10)+i*rand(10,10); | |
3714 %! cv = randn(10,1)+i*rand(10,1); | |
3715 %! rv = randn(1,10)+i*rand(1,10); | |
3716 %!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
|
3717 %!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
|
3718 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
6162 | 3719 %!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
|
3720 %!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
|
3721 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
6162 | 3722 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
3723 */ | |
3724 | |
11516 | 3725 static inline char |
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
|
3726 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
|
3727 { |
11516 | 3728 return trans ? (conj ? 'C' : 'T') : 'N'; |
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
|
3729 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3730 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3731 // 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
|
3732 |
2828 | 3733 ComplexMatrix |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3734 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3735 blas_trans_type transa, blas_trans_type transb) |
2828 | 3736 { |
3737 ComplexMatrix retval; | |
3738 | |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3739 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
|
3740 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
|
3741 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3742 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
|
3743 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
|
3744 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3745 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
|
3746 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
|
3747 |
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 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
|
3749 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
2828 | 3750 else |
3751 { | |
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
|
3752 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
|
3753 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
|
3754 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
|
3755 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3756 octave_idx_type lda = a.rows (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3757 |
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3758 retval = ComplexMatrix (a_nr, b_nc); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3759 Complex *c = retval.fortran_vec (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3760 |
11516 | 3761 const char ctra = get_blas_trans_arg (tra, cja); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3762 if (cja || cjb) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3763 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3764 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3765 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3766 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3767 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3768 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3769 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3770 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
|
3771 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
|
3772 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
|
3773 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3774 else |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3775 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3776 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3777 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3778 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3779 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3780 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3781 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3782 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
|
3783 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
|
3784 retval.xelem (j,i) = retval.xelem (i,j); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3785 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3786 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3787 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3788 } |
2828 | 3789 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3790 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3791 octave_idx_type lda = a.rows (), tda = a.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3792 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3793 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3794 retval = ComplexMatrix (a_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3795 Complex *c = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3796 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3797 if (b_nc == 1 && a_nr == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3798 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3799 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
|
3800 { |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3801 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
|
3802 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
|
3803 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3804 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
|
3805 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
|
3806 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
|
3807 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
|
3808 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3809 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
|
3810 { |
11516 | 3811 const char ctra = get_blas_trans_arg (tra, cja); |
3812 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
|
3813 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
|
3814 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
|
3815 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
|
3816 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3817 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
|
3818 { |
11516 | 3819 const char crevtrb = get_blas_trans_arg (! trb, cjb); |
3820 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
|
3821 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
|
3822 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
|
3823 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
|
3824 } |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3825 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3826 { |
11516 | 3827 const char ctra = get_blas_trans_arg (tra, cja); |
3828 const char ctrb = get_blas_trans_arg (trb, cjb); | |
3829 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
3830 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3831 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
|
3832 lda, b.data (), ldb, 0.0, c, a_nr |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3833 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3834 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3835 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3836 } |
2828 | 3837 } |
3838 | |
3839 return retval; | |
3840 } | |
3841 | |
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
|
3842 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
|
3843 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
|
3844 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3845 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
|
3846 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3847 |
5775 | 3848 // FIXME -- it would be nice to share code among the min/max |
4309 | 3849 // functions below. |
3850 | |
3851 #define EMPTY_RETURN_CHECK(T) \ | |
3852 if (nr == 0 || nc == 0) \ | |
3853 return T (nr, nc); | |
3854 | |
3855 ComplexMatrix | |
3856 min (const Complex& c, const ComplexMatrix& m) | |
3857 { | |
5275 | 3858 octave_idx_type nr = m.rows (); |
3859 octave_idx_type nc = m.columns (); | |
4309 | 3860 |
3861 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3862 | |
3863 ComplexMatrix result (nr, nc); | |
3864 | |
5275 | 3865 for (octave_idx_type j = 0; j < nc; j++) |
3866 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3867 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3868 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3869 result (i, j) = xmin (c, m (i, j)); |
4309 | 3870 } |
3871 | |
3872 return result; | |
3873 } | |
3874 | |
3875 ComplexMatrix | |
3876 min (const ComplexMatrix& m, const Complex& c) | |
3877 { | |
5275 | 3878 octave_idx_type nr = m.rows (); |
3879 octave_idx_type nc = m.columns (); | |
4309 | 3880 |
3881 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3882 | |
3883 ComplexMatrix result (nr, nc); | |
3884 | |
5275 | 3885 for (octave_idx_type j = 0; j < nc; j++) |
3886 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3887 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3888 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3889 result (i, j) = xmin (m (i, j), c); |
4309 | 3890 } |
3891 | |
3892 return result; | |
3893 } | |
3894 | |
3895 ComplexMatrix | |
3896 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
3897 { | |
5275 | 3898 octave_idx_type nr = a.rows (); |
3899 octave_idx_type nc = a.columns (); | |
4309 | 3900 |
3901 if (nr != b.rows () || nc != b.columns ()) | |
3902 { | |
3903 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3904 ("two-arg min expecting args of same size"); |
4309 | 3905 return ComplexMatrix (); |
3906 } | |
3907 | |
3908 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3909 | |
3910 ComplexMatrix result (nr, nc); | |
3911 | |
5275 | 3912 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 3913 { |
3914 int columns_are_real_only = 1; | |
5275 | 3915 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
|
3916 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3917 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3918 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
|
3919 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3920 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3921 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3922 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3923 } |
4309 | 3924 |
3925 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3926 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3927 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3928 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:
10213
diff
changeset
|
3929 } |
4309 | 3930 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3931 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3932 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3933 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3934 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3935 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
|
3936 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3937 } |
4309 | 3938 } |
3939 | |
3940 return result; | |
3941 } | |
3942 | |
3943 ComplexMatrix | |
3944 max (const Complex& c, const ComplexMatrix& m) | |
3945 { | |
5275 | 3946 octave_idx_type nr = m.rows (); |
3947 octave_idx_type nc = m.columns (); | |
4309 | 3948 |
3949 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3950 | |
3951 ComplexMatrix result (nr, nc); | |
3952 | |
5275 | 3953 for (octave_idx_type j = 0; j < nc; j++) |
3954 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3955 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3956 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3957 result (i, j) = xmax (c, m (i, j)); |
4309 | 3958 } |
3959 | |
3960 return result; | |
3961 } | |
3962 | |
3963 ComplexMatrix | |
3964 max (const ComplexMatrix& m, const Complex& c) | |
3965 { | |
5275 | 3966 octave_idx_type nr = m.rows (); |
3967 octave_idx_type nc = m.columns (); | |
4309 | 3968 |
3969 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3970 | |
3971 ComplexMatrix result (nr, nc); | |
3972 | |
5275 | 3973 for (octave_idx_type j = 0; j < nc; j++) |
3974 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3975 { |
10314
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3976 octave_quit (); |
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3977 result (i, j) = xmax (m (i, j), c); |
4309 | 3978 } |
3979 | |
3980 return result; | |
3981 } | |
3982 | |
3983 ComplexMatrix | |
3984 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
3985 { | |
5275 | 3986 octave_idx_type nr = a.rows (); |
3987 octave_idx_type nc = a.columns (); | |
4309 | 3988 |
3989 if (nr != b.rows () || nc != b.columns ()) | |
3990 { | |
3991 (*current_liboctave_error_handler) | |
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3992 ("two-arg max expecting args of same size"); |
4309 | 3993 return ComplexMatrix (); |
3994 } | |
3995 | |
3996 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3997 | |
3998 ComplexMatrix result (nr, nc); | |
3999 | |
5275 | 4000 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 4001 { |
4002 int columns_are_real_only = 1; | |
5275 | 4003 for (octave_idx_type i = 0; i < nr; i++) |
10314
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4004 { |
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|
4005 octave_quit (); |
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4006 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
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|
4007 { |
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4008 columns_are_real_only = 0; |
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4009 break; |
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|
4010 } |
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|
4011 } |
4309 | 4012 |
4013 if (columns_are_real_only) | |
10314
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4014 { |
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|
4015 for (octave_idx_type i = 0; i < nr; i++) |
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|
4016 { |
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|
4017 octave_quit (); |
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|
4018 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
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|
4019 } |
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|
4020 } |
4309 | 4021 else |
10314
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4022 { |
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4023 for (octave_idx_type i = 0; i < nr; i++) |
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|
4024 { |
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|
4025 octave_quit (); |
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|
4026 result (i, j) = xmax (a (i, j), b (i, j)); |
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4027 } |
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|
4028 } |
4309 | 4029 } |
4030 | |
4031 return result; | |
4032 } | |
4033 | |
9653
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improve linspace in liboctave
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4034 ComplexMatrix linspace (const ComplexColumnVector& x1, |
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4035 const ComplexColumnVector& x2, |
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4036 octave_idx_type n) |
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4037 |
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|
4038 { |
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|
4039 if (n < 1) n = 1; |
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|
4040 |
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|
4041 octave_idx_type m = x1.length (); |
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|
4042 |
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|
4043 if (x2.length () != m) |
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4044 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
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4045 |
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|
4046 NoAlias<ComplexMatrix> retval; |
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|
4047 |
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|
4048 retval.clear (m, n); |
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4049 for (octave_idx_type i = 0; i < m; i++) |
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|
4050 retval(i, 0) = x1(i); |
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|
4051 |
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|
4052 // The last column is not needed while using delta. |
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|
4053 Complex *delta = &retval(0, n-1); |
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4054 for (octave_idx_type i = 0; i < m; i++) |
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4055 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
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4056 |
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4057 for (octave_idx_type j = 1; j < n-1; j++) |
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4058 for (octave_idx_type i = 0; i < m; i++) |
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4059 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
9653
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|
4060 |
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|
4061 for (octave_idx_type i = 0; i < m; i++) |
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4062 retval(i, n-1) = x2(i); |
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|
4063 |
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|
4064 return retval; |
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|
4065 } |
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|
4066 |
9578
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|
4067 MS_CMP_OPS (ComplexMatrix, Complex) |
9550
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|
4068 MS_BOOL_OPS (ComplexMatrix, Complex) |
2870 | 4069 |
9578
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changeset
|
4070 SM_CMP_OPS (Complex, ComplexMatrix) |
9550
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9528
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changeset
|
4071 SM_BOOL_OPS (Complex, ComplexMatrix) |
2870 | 4072 |
9578
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|
4073 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
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|
4074 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |