Mercurial > octave
annotate liboctave/array/CMatrix.cc @ 19269:65554f5847ac
don't include oct-locbuf.h in header files unnecessarily
* oct-stream.h: Don't include oct-locbuf.h.
* Sparse-op-decls.h: New file.
* module.mk (OPERATORS_INC): Include it in the list.
* Sparse-op-defs.h: Move decls to Sparse-op-decls.h.
* CSparse.h, boolSparse.h, dSparse.h: Include Sparse-op-decls.h
instead of Sparse-op-defs.h.
* help.cc, oct-map.cc, oct-stream.cc, quadcc.cc, strfind.cc,
sub2ind.cc, utils.cc, xpow.cc, __delaunayn__.cc, __ichol__.cc,
__ilu__.cc, __voronoi__.cc, convhulln.cc, ov-base-mat.cc,
op-dm-scm.cc, op-dm-template.cc, op-fcm-fs.cc, op-fcs-fm.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc,
op-pm-template.cc, op-ui16-ui16.cc, op-ui32-ui32.cc,
op-ui64-ui64.cc, op-ui8-ui8.cc, pt-mat.cc, CMatrix.cc, CNDArray.cc,
CSparse.cc, MatrixType.cc, boolMatrix.cc, boolNDArray.cc,
boolSparse.cc, dMatrix.cc, dSparse.cc, fCMatrix.cc, fCNDArray.cc,
fMatrix.cc, eigs-base.cc, oct-norm.cc, sparse-base-lu.cc,
* mx-op-defs.h: Update list of include files accordingly.
* sparse-mk-ops.awk: Update emitted list of include files
accordingly.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Sun, 19 Oct 2014 08:42:58 -0400 |
parents | d20c81d3cd21 |
children | d0c73e23a505 |
rev | line source |
---|---|
1993 | 1 // Matrix manipulations. |
458 | 2 /* |
3 | |
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4 Copyright (C) 1994-2013 John W. Eaton |
11523 | 5 Copyright (C) 2008-2009 Jaroslav Hajek |
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6 Copyright (C) 2009 VZLU Prague, a.s. |
458 | 7 |
8 This file is part of Octave. | |
9 | |
10 Octave is free software; you can redistribute it and/or modify it | |
11 under the terms of the GNU General Public License as published by the | |
7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
13 option) any later version. | |
458 | 14 |
15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
18 for more details. | |
19 | |
20 You should have received a copy of the GNU General Public License | |
7016 | 21 along with Octave; see the file COPYING. If not, see |
22 <http://www.gnu.org/licenses/>. | |
458 | 23 |
24 */ | |
25 | |
26 #ifdef HAVE_CONFIG_H | |
1192 | 27 #include <config.h> |
458 | 28 #endif |
29 | |
1367 | 30 #include <cfloat> |
31 | |
3503 | 32 #include <iostream> |
6209 | 33 #include <vector> |
1367 | 34 |
5775 | 35 // FIXME |
2443 | 36 #include <sys/types.h> |
458 | 37 |
4669 | 38 #include "Array-util.h" |
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39 #include "boolMatrix.h" |
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40 #include "chMatrix.h" |
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41 #include "dMatrix.h" |
2828 | 42 #include "CMatrix.h" |
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43 #include "CRowVector.h" |
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44 #include "dRowVector.h" |
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45 #include "CDiagMatrix.h" |
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46 #include "dDiagMatrix.h" |
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47 #include "CmplxCHOL.h" |
1819 | 48 #include "CmplxSCHUR.h" |
740 | 49 #include "CmplxSVD.h" |
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50 #include "DET.h" |
1847 | 51 #include "f77-fcn.h" |
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52 #include "functor.h" |
458 | 53 #include "lo-error.h" |
2354 | 54 #include "lo-ieee.h" |
55 #include "lo-mappers.h" | |
1968 | 56 #include "lo-utils.h" |
2828 | 57 #include "mx-cm-dm.h" |
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58 #include "mx-cm-s.h" |
3176 | 59 #include "mx-dm-cm.h" |
1367 | 60 #include "mx-inlines.cc" |
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61 #include "mx-op-defs.h" |
1650 | 62 #include "oct-cmplx.h" |
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63 #include "oct-fftw.h" |
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64 #include "oct-locbuf.h" |
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65 #include "oct-norm.h" |
458 | 66 |
67 // Fortran functions we call. | |
68 | |
69 extern "C" | |
70 { | |
7477 | 71 F77_RET_T |
11518 | 72 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, |
73 F77_CONST_CHAR_ARG_DECL, | |
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74 F77_CONST_CHAR_ARG_DECL, |
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75 const octave_idx_type&, const octave_idx_type&, |
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76 const octave_idx_type&, const octave_idx_type&, |
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77 octave_idx_type& |
11518 | 78 F77_CHAR_ARG_LEN_DECL |
79 F77_CHAR_ARG_LEN_DECL); | |
7476 | 80 |
4552 | 81 F77_RET_T |
82 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 83 const octave_idx_type&, Complex*, |
84 const octave_idx_type&, octave_idx_type&, | |
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85 octave_idx_type&, double*, octave_idx_type& |
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86 F77_CHAR_ARG_LEN_DECL); |
4552 | 87 |
88 F77_RET_T | |
89 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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90 F77_CONST_CHAR_ARG_DECL, |
11518 | 91 const octave_idx_type&, const octave_idx_type&, |
92 const octave_idx_type&, double*, | |
93 const octave_idx_type&, double*, | |
94 const octave_idx_type&, octave_idx_type& | |
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95 F77_CHAR_ARG_LEN_DECL |
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96 F77_CHAR_ARG_LEN_DECL); |
4552 | 97 |
98 F77_RET_T | |
99 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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100 F77_CONST_CHAR_ARG_DECL, |
11518 | 101 const octave_idx_type&, const octave_idx_type&, |
102 const octave_idx_type&, const Complex&, | |
103 const Complex*, const octave_idx_type&, | |
104 const Complex*, const octave_idx_type&, | |
105 const Complex&, Complex*, const octave_idx_type& | |
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106 F77_CHAR_ARG_LEN_DECL |
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107 F77_CHAR_ARG_LEN_DECL); |
4552 | 108 |
109 F77_RET_T | |
5983 | 110 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
11518 | 111 const octave_idx_type&, const octave_idx_type&, |
112 const Complex&, const Complex*, | |
113 const octave_idx_type&, const Complex*, | |
114 const octave_idx_type&, const Complex&, | |
115 Complex*, const octave_idx_type& | |
5983 | 116 F77_CHAR_ARG_LEN_DECL); |
117 | |
118 F77_RET_T | |
11518 | 119 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, |
120 const octave_idx_type&, const Complex*, | |
121 const octave_idx_type&, Complex&); | |
5983 | 122 |
123 F77_RET_T | |
11518 | 124 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, |
125 const octave_idx_type&, const Complex*, | |
126 const octave_idx_type&, Complex&); | |
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127 |
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128 F77_RET_T |
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129 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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130 F77_CONST_CHAR_ARG_DECL, |
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131 const octave_idx_type&, const octave_idx_type&, |
11518 | 132 const Complex&, const Complex*, |
133 const octave_idx_type&, const Complex&, | |
134 Complex*, const octave_idx_type& | |
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135 F77_CHAR_ARG_LEN_DECL |
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136 F77_CHAR_ARG_LEN_DECL); |
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137 |
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138 F77_RET_T |
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139 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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140 F77_CONST_CHAR_ARG_DECL, |
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141 const octave_idx_type&, const octave_idx_type&, |
11518 | 142 const double&, const Complex*, |
143 const octave_idx_type&, const double&, Complex*, | |
144 const octave_idx_type& | |
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145 F77_CHAR_ARG_LEN_DECL |
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146 F77_CHAR_ARG_LEN_DECL); |
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147 |
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148 F77_RET_T |
11518 | 149 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, |
150 Complex*, const octave_idx_type&, | |
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151 octave_idx_type*, octave_idx_type&); |
4552 | 152 |
153 F77_RET_T | |
154 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 155 const octave_idx_type&, const octave_idx_type&, |
156 Complex*, const octave_idx_type&, | |
157 const octave_idx_type*, Complex*, | |
158 const octave_idx_type&, octave_idx_type& | |
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159 F77_CHAR_ARG_LEN_DECL); |
4552 | 160 |
161 F77_RET_T | |
11518 | 162 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, |
163 const octave_idx_type&, const octave_idx_type*, | |
164 Complex*, const octave_idx_type&, | |
165 octave_idx_type&); | |
4552 | 166 |
167 F77_RET_T | |
168 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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169 const octave_idx_type&, Complex*, |
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170 const octave_idx_type&, const double&, double&, |
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171 Complex*, double*, octave_idx_type& |
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172 F77_CHAR_ARG_LEN_DECL); |
4552 | 173 |
174 F77_RET_T | |
11518 | 175 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, |
176 const octave_idx_type&, Complex*, | |
177 const octave_idx_type&, Complex*, | |
178 const octave_idx_type&, octave_idx_type*, | |
179 double&, octave_idx_type&, Complex*, | |
180 const octave_idx_type&, double*, | |
181 octave_idx_type&); | |
7072 | 182 |
183 F77_RET_T | |
11518 | 184 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, |
185 const octave_idx_type&, Complex*, | |
186 const octave_idx_type&, Complex*, | |
187 const octave_idx_type&, double*, double&, | |
188 octave_idx_type&, Complex*, | |
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189 const octave_idx_type&, double*, |
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190 octave_idx_type*, octave_idx_type&); |
458 | 191 |
5785 | 192 F77_RET_T |
11518 | 193 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, |
194 const octave_idx_type&, Complex*, | |
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195 const octave_idx_type&, octave_idx_type& |
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196 F77_CHAR_ARG_LEN_DECL); |
5785 | 197 |
198 F77_RET_T | |
11518 | 199 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, |
200 const octave_idx_type&, Complex*, | |
201 const octave_idx_type&, const double&, | |
202 double&, Complex*, double*, octave_idx_type& | |
203 F77_CHAR_ARG_LEN_DECL); | |
204 | |
205 F77_RET_T | |
206 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
207 const octave_idx_type&, const octave_idx_type&, | |
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208 const Complex*, const octave_idx_type&, Complex*, |
11518 | 209 const octave_idx_type&, octave_idx_type& |
210 F77_CHAR_ARG_LEN_DECL); | |
211 | |
212 F77_RET_T | |
213 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
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214 F77_CONST_CHAR_ARG_DECL, |
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215 const octave_idx_type&, const Complex*, |
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216 const octave_idx_type&, octave_idx_type& |
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217 F77_CHAR_ARG_LEN_DECL |
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218 F77_CHAR_ARG_LEN_DECL); |
6207 | 219 |
220 F77_RET_T | |
11518 | 221 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, |
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222 F77_CONST_CHAR_ARG_DECL, |
11518 | 223 F77_CONST_CHAR_ARG_DECL, |
224 const octave_idx_type&, const Complex*, | |
225 const octave_idx_type&, double&, | |
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226 Complex*, double*, octave_idx_type& |
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227 F77_CHAR_ARG_LEN_DECL |
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228 F77_CHAR_ARG_LEN_DECL |
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229 F77_CHAR_ARG_LEN_DECL); |
5785 | 230 |
231 F77_RET_T | |
11518 | 232 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, |
233 F77_CONST_CHAR_ARG_DECL, | |
234 F77_CONST_CHAR_ARG_DECL, | |
235 const octave_idx_type&, const octave_idx_type&, | |
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236 const Complex*, const octave_idx_type&, Complex*, |
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237 const octave_idx_type&, octave_idx_type& |
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238 F77_CHAR_ARG_LEN_DECL |
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239 F77_CHAR_ARG_LEN_DECL |
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240 F77_CHAR_ARG_LEN_DECL); |
5785 | 241 |
4552 | 242 F77_RET_T |
11518 | 243 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, double&, |
244 Complex&, Complex&); | |
4552 | 245 |
246 F77_RET_T | |
247 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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248 F77_CONST_CHAR_ARG_DECL, |
11518 | 249 const octave_idx_type&, const octave_idx_type&, |
250 const octave_idx_type&, const Complex*, | |
251 const octave_idx_type&, const Complex*, | |
252 const octave_idx_type&, const Complex*, | |
253 const octave_idx_type&, double&, octave_idx_type& | |
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254 F77_CHAR_ARG_LEN_DECL |
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255 F77_CHAR_ARG_LEN_DECL); |
4552 | 256 |
257 F77_RET_T | |
258 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 259 const octave_idx_type&, const octave_idx_type&, |
260 const Complex*, const octave_idx_type&, | |
261 double*, double& | |
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262 F77_CHAR_ARG_LEN_DECL); |
458 | 263 } |
264 | |
2354 | 265 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
266 | |
1360 | 267 // Complex Matrix class |
458 | 268 |
269 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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270 : MArray<Complex> (a) |
458 | 271 { |
272 } | |
273 | |
2349 | 274 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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275 : MArray<Complex> (rv) |
2349 | 276 { |
277 } | |
278 | |
279 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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280 : MArray<Complex> (cv) |
2349 | 281 { |
282 } | |
283 | |
458 | 284 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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285 : MArray<Complex> (a.dims (), 0.0) |
458 | 286 { |
5275 | 287 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 288 elem (i, i) = a.elem (i, i); |
289 } | |
290 | |
2349 | 291 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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292 : MArray<Complex> (rv) |
2349 | 293 { |
294 } | |
295 | |
296 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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297 : MArray<Complex> (cv) |
2349 | 298 { |
299 } | |
300 | |
458 | 301 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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302 : MArray<Complex> (a.dims (), 0.0) |
458 | 303 { |
5275 | 304 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 305 elem (i, i) = a.elem (i, i); |
306 } | |
307 | |
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308 // FIXME: could we use a templated mixed-type copy function here? |
1574 | 309 |
2828 | 310 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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311 : MArray<Complex> (a) |
2828 | 312 { |
313 } | |
314 | |
1574 | 315 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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316 : MArray<Complex> (a.dims (), 0.0) |
1574 | 317 { |
5275 | 318 for (octave_idx_type i = 0; i < a.rows (); i++) |
319 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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320 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
1574 | 321 } |
322 | |
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323 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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324 : MArray<Complex> (re.dims ()) |
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325 { |
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326 if (im.rows () != rows () || im.cols () != cols ()) |
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327 (*current_liboctave_error_handler) ("complex: internal error"); |
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328 |
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329 octave_idx_type nel = numel (); |
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330 for (octave_idx_type i = 0; i < nel; i++) |
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331 xelem (i) = Complex (re(i), im(i)); |
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332 } |
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333 |
2384 | 334 bool |
458 | 335 ComplexMatrix::operator == (const ComplexMatrix& a) const |
336 { | |
337 if (rows () != a.rows () || cols () != a.cols ()) | |
2384 | 338 return false; |
458 | 339 |
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340 return mx_inline_equal (length (), data (), a.data ()); |
458 | 341 } |
342 | |
2384 | 343 bool |
458 | 344 ComplexMatrix::operator != (const ComplexMatrix& a) const |
345 { | |
346 return !(*this == a); | |
347 } | |
348 | |
2815 | 349 bool |
350 ComplexMatrix::is_hermitian (void) const | |
351 { | |
5275 | 352 octave_idx_type nr = rows (); |
353 octave_idx_type nc = cols (); | |
2815 | 354 |
355 if (is_square () && nr > 0) | |
356 { | |
5275 | 357 for (octave_idx_type i = 0; i < nr; i++) |
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358 for (octave_idx_type j = i; j < nc; j++) |
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359 if (elem (i, j) != conj (elem (j, i))) |
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360 return false; |
2815 | 361 |
362 return true; | |
363 } | |
364 | |
365 return false; | |
366 } | |
367 | |
458 | 368 // destructive insert/delete/reorder operations |
369 | |
370 ComplexMatrix& | |
5275 | 371 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
458 | 372 { |
5275 | 373 octave_idx_type a_nr = a.rows (); |
374 octave_idx_type a_nc = a.cols (); | |
1699 | 375 |
376 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 377 { |
378 (*current_liboctave_error_handler) ("range error for insert"); | |
379 return *this; | |
380 } | |
381 | |
4316 | 382 if (a_nr >0 && a_nc > 0) |
383 { | |
384 make_unique (); | |
385 | |
5275 | 386 for (octave_idx_type j = 0; j < a_nc; j++) |
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387 for (octave_idx_type i = 0; i < a_nr; i++) |
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388 xelem (r+i, c+j) = a.elem (i, j); |
4316 | 389 } |
458 | 390 |
391 return *this; | |
392 } | |
393 | |
394 ComplexMatrix& | |
5275 | 395 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 396 { |
5275 | 397 octave_idx_type a_len = a.length (); |
4316 | 398 |
1699 | 399 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 400 { |
401 (*current_liboctave_error_handler) ("range error for insert"); | |
402 return *this; | |
403 } | |
404 | |
4316 | 405 if (a_len > 0) |
406 { | |
407 make_unique (); | |
408 | |
5275 | 409 for (octave_idx_type i = 0; i < a_len; i++) |
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410 xelem (r, c+i) = a.elem (i); |
4316 | 411 } |
458 | 412 |
413 return *this; | |
414 } | |
415 | |
416 ComplexMatrix& | |
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417 ComplexMatrix::insert (const ColumnVector& a, |
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418 octave_idx_type r, octave_idx_type c) |
458 | 419 { |
5275 | 420 octave_idx_type a_len = a.length (); |
4316 | 421 |
1699 | 422 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 423 { |
424 (*current_liboctave_error_handler) ("range error for insert"); | |
425 return *this; | |
426 } | |
427 | |
4316 | 428 if (a_len > 0) |
429 { | |
430 make_unique (); | |
431 | |
5275 | 432 for (octave_idx_type i = 0; i < a_len; i++) |
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433 xelem (r+i, c) = a.elem (i); |
4316 | 434 } |
458 | 435 |
436 return *this; | |
437 } | |
438 | |
439 ComplexMatrix& | |
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440 ComplexMatrix::insert (const DiagMatrix& a, |
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441 octave_idx_type r, octave_idx_type c) |
458 | 442 { |
5275 | 443 octave_idx_type a_nr = a.rows (); |
444 octave_idx_type a_nc = a.cols (); | |
1699 | 445 |
446 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 447 { |
448 (*current_liboctave_error_handler) ("range error for insert"); | |
449 return *this; | |
450 } | |
451 | |
1699 | 452 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
453 | |
5275 | 454 octave_idx_type a_len = a.length (); |
4316 | 455 |
456 if (a_len > 0) | |
457 { | |
458 make_unique (); | |
459 | |
5275 | 460 for (octave_idx_type i = 0; i < a_len; i++) |
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461 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 462 } |
458 | 463 |
464 return *this; | |
465 } | |
466 | |
467 ComplexMatrix& | |
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468 ComplexMatrix::insert (const ComplexMatrix& a, |
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469 octave_idx_type r, octave_idx_type c) |
458 | 470 { |
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471 Array<Complex>::insert (a, r, c); |
458 | 472 return *this; |
473 } | |
474 | |
475 ComplexMatrix& | |
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476 ComplexMatrix::insert (const ComplexRowVector& a, |
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477 octave_idx_type r, octave_idx_type c) |
458 | 478 { |
5275 | 479 octave_idx_type a_len = a.length (); |
1699 | 480 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 481 { |
482 (*current_liboctave_error_handler) ("range error for insert"); | |
483 return *this; | |
484 } | |
485 | |
5275 | 486 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 487 elem (r, c+i) = a.elem (i); |
488 | |
489 return *this; | |
490 } | |
491 | |
492 ComplexMatrix& | |
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493 ComplexMatrix::insert (const ComplexColumnVector& a, |
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494 octave_idx_type r, octave_idx_type c) |
458 | 495 { |
5275 | 496 octave_idx_type a_len = a.length (); |
4316 | 497 |
1699 | 498 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 499 { |
500 (*current_liboctave_error_handler) ("range error for insert"); | |
501 return *this; | |
502 } | |
503 | |
4316 | 504 if (a_len > 0) |
505 { | |
506 make_unique (); | |
507 | |
5275 | 508 for (octave_idx_type i = 0; i < a_len; i++) |
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509 xelem (r+i, c) = a.elem (i); |
4316 | 510 } |
458 | 511 |
512 return *this; | |
513 } | |
514 | |
515 ComplexMatrix& | |
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516 ComplexMatrix::insert (const ComplexDiagMatrix& a, |
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517 octave_idx_type r, octave_idx_type c) |
458 | 518 { |
5275 | 519 octave_idx_type a_nr = a.rows (); |
520 octave_idx_type a_nc = a.cols (); | |
1699 | 521 |
522 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 523 { |
524 (*current_liboctave_error_handler) ("range error for insert"); | |
525 return *this; | |
526 } | |
527 | |
1699 | 528 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
529 | |
5275 | 530 octave_idx_type a_len = a.length (); |
4316 | 531 |
532 if (a_len > 0) | |
533 { | |
534 make_unique (); | |
535 | |
5275 | 536 for (octave_idx_type i = 0; i < a_len; i++) |
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537 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 538 } |
458 | 539 |
540 return *this; | |
541 } | |
542 | |
543 ComplexMatrix& | |
544 ComplexMatrix::fill (double val) | |
545 { | |
5275 | 546 octave_idx_type nr = rows (); |
547 octave_idx_type nc = cols (); | |
4316 | 548 |
458 | 549 if (nr > 0 && nc > 0) |
4316 | 550 { |
551 make_unique (); | |
552 | |
5275 | 553 for (octave_idx_type j = 0; j < nc; j++) |
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554 for (octave_idx_type i = 0; i < nr; i++) |
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555 xelem (i, j) = val; |
4316 | 556 } |
458 | 557 |
558 return *this; | |
559 } | |
560 | |
561 ComplexMatrix& | |
562 ComplexMatrix::fill (const Complex& val) | |
563 { | |
5275 | 564 octave_idx_type nr = rows (); |
565 octave_idx_type nc = cols (); | |
4316 | 566 |
458 | 567 if (nr > 0 && nc > 0) |
4316 | 568 { |
569 make_unique (); | |
570 | |
5275 | 571 for (octave_idx_type j = 0; j < nc; j++) |
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572 for (octave_idx_type i = 0; i < nr; i++) |
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573 xelem (i, j) = val; |
4316 | 574 } |
458 | 575 |
576 return *this; | |
577 } | |
578 | |
579 ComplexMatrix& | |
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580 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, |
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581 octave_idx_type r2, octave_idx_type c2) |
458 | 582 { |
5275 | 583 octave_idx_type nr = rows (); |
584 octave_idx_type nc = cols (); | |
4316 | 585 |
458 | 586 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
587 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
588 { | |
589 (*current_liboctave_error_handler) ("range error for fill"); | |
590 return *this; | |
591 } | |
592 | |
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593 if (r1 > r2) { std::swap (r1, r2); } |
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594 if (c1 > c2) { std::swap (c1, c2); } |
458 | 595 |
4316 | 596 if (r2 >= r1 && c2 >= c1) |
597 { | |
598 make_unique (); | |
599 | |
5275 | 600 for (octave_idx_type j = c1; j <= c2; j++) |
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601 for (octave_idx_type i = r1; i <= r2; i++) |
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602 xelem (i, j) = val; |
4316 | 603 } |
458 | 604 |
605 return *this; | |
606 } | |
607 | |
608 ComplexMatrix& | |
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609 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, |
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610 octave_idx_type r2, octave_idx_type c2) |
458 | 611 { |
5275 | 612 octave_idx_type nr = rows (); |
613 octave_idx_type nc = cols (); | |
4316 | 614 |
458 | 615 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
616 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
617 { | |
618 (*current_liboctave_error_handler) ("range error for fill"); | |
619 return *this; | |
620 } | |
621 | |
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622 if (r1 > r2) { std::swap (r1, r2); } |
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623 if (c1 > c2) { std::swap (c1, c2); } |
458 | 624 |
4316 | 625 if (r2 >= r1 && c2 >=c1) |
626 { | |
627 make_unique (); | |
628 | |
5275 | 629 for (octave_idx_type j = c1; j <= c2; j++) |
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630 for (octave_idx_type i = r1; i <= r2; i++) |
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631 xelem (i, j) = val; |
4316 | 632 } |
458 | 633 |
634 return *this; | |
635 } | |
636 | |
637 ComplexMatrix | |
638 ComplexMatrix::append (const Matrix& a) const | |
639 { | |
5275 | 640 octave_idx_type nr = rows (); |
641 octave_idx_type nc = cols (); | |
458 | 642 if (nr != a.rows ()) |
643 { | |
644 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
645 return *this; | |
646 } | |
647 | |
5275 | 648 octave_idx_type nc_insert = nc; |
458 | 649 ComplexMatrix retval (nr, nc + a.cols ()); |
650 retval.insert (*this, 0, 0); | |
651 retval.insert (a, 0, nc_insert); | |
652 return retval; | |
653 } | |
654 | |
655 ComplexMatrix | |
656 ComplexMatrix::append (const RowVector& a) const | |
657 { | |
5275 | 658 octave_idx_type nr = rows (); |
659 octave_idx_type nc = cols (); | |
458 | 660 if (nr != 1) |
661 { | |
662 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
663 return *this; | |
664 } | |
665 | |
5275 | 666 octave_idx_type nc_insert = nc; |
458 | 667 ComplexMatrix retval (nr, nc + a.length ()); |
668 retval.insert (*this, 0, 0); | |
669 retval.insert (a, 0, nc_insert); | |
670 return retval; | |
671 } | |
672 | |
673 ComplexMatrix | |
674 ComplexMatrix::append (const ColumnVector& a) const | |
675 { | |
5275 | 676 octave_idx_type nr = rows (); |
677 octave_idx_type nc = cols (); | |
458 | 678 if (nr != a.length ()) |
679 { | |
680 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
681 return *this; | |
682 } | |
683 | |
5275 | 684 octave_idx_type nc_insert = nc; |
458 | 685 ComplexMatrix retval (nr, nc + 1); |
686 retval.insert (*this, 0, 0); | |
687 retval.insert (a, 0, nc_insert); | |
688 return retval; | |
689 } | |
690 | |
691 ComplexMatrix | |
692 ComplexMatrix::append (const DiagMatrix& a) const | |
693 { | |
5275 | 694 octave_idx_type nr = rows (); |
695 octave_idx_type nc = cols (); | |
458 | 696 if (nr != a.rows ()) |
697 { | |
698 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
699 return *this; | |
700 } | |
701 | |
5275 | 702 octave_idx_type nc_insert = nc; |
458 | 703 ComplexMatrix retval (nr, nc + a.cols ()); |
704 retval.insert (*this, 0, 0); | |
705 retval.insert (a, 0, nc_insert); | |
706 return retval; | |
707 } | |
708 | |
709 ComplexMatrix | |
710 ComplexMatrix::append (const ComplexMatrix& a) const | |
711 { | |
5275 | 712 octave_idx_type nr = rows (); |
713 octave_idx_type nc = cols (); | |
458 | 714 if (nr != a.rows ()) |
715 { | |
716 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
717 return *this; | |
718 } | |
719 | |
5275 | 720 octave_idx_type nc_insert = nc; |
458 | 721 ComplexMatrix retval (nr, nc + a.cols ()); |
722 retval.insert (*this, 0, 0); | |
723 retval.insert (a, 0, nc_insert); | |
724 return retval; | |
725 } | |
726 | |
727 ComplexMatrix | |
728 ComplexMatrix::append (const ComplexRowVector& a) const | |
729 { | |
5275 | 730 octave_idx_type nr = rows (); |
731 octave_idx_type nc = cols (); | |
458 | 732 if (nr != 1) |
733 { | |
734 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
735 return *this; | |
736 } | |
737 | |
5275 | 738 octave_idx_type nc_insert = nc; |
458 | 739 ComplexMatrix retval (nr, nc + a.length ()); |
740 retval.insert (*this, 0, 0); | |
741 retval.insert (a, 0, nc_insert); | |
742 return retval; | |
743 } | |
744 | |
745 ComplexMatrix | |
746 ComplexMatrix::append (const ComplexColumnVector& a) const | |
747 { | |
5275 | 748 octave_idx_type nr = rows (); |
749 octave_idx_type nc = cols (); | |
458 | 750 if (nr != a.length ()) |
751 { | |
752 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
753 return *this; | |
754 } | |
755 | |
5275 | 756 octave_idx_type nc_insert = nc; |
458 | 757 ComplexMatrix retval (nr, nc + 1); |
758 retval.insert (*this, 0, 0); | |
759 retval.insert (a, 0, nc_insert); | |
760 return retval; | |
761 } | |
762 | |
763 ComplexMatrix | |
764 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
765 { | |
5275 | 766 octave_idx_type nr = rows (); |
767 octave_idx_type nc = cols (); | |
458 | 768 if (nr != a.rows ()) |
769 { | |
770 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
771 return *this; | |
772 } | |
773 | |
5275 | 774 octave_idx_type nc_insert = nc; |
458 | 775 ComplexMatrix retval (nr, nc + a.cols ()); |
776 retval.insert (*this, 0, 0); | |
777 retval.insert (a, 0, nc_insert); | |
778 return retval; | |
779 } | |
780 | |
781 ComplexMatrix | |
782 ComplexMatrix::stack (const Matrix& a) const | |
783 { | |
5275 | 784 octave_idx_type nr = rows (); |
785 octave_idx_type nc = cols (); | |
458 | 786 if (nc != a.cols ()) |
787 { | |
788 (*current_liboctave_error_handler) | |
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789 ("column dimension mismatch for stack"); |
458 | 790 return *this; |
791 } | |
792 | |
5275 | 793 octave_idx_type nr_insert = nr; |
458 | 794 ComplexMatrix retval (nr + a.rows (), nc); |
795 retval.insert (*this, 0, 0); | |
796 retval.insert (a, nr_insert, 0); | |
797 return retval; | |
798 } | |
799 | |
800 ComplexMatrix | |
801 ComplexMatrix::stack (const RowVector& a) const | |
802 { | |
5275 | 803 octave_idx_type nr = rows (); |
804 octave_idx_type nc = cols (); | |
458 | 805 if (nc != a.length ()) |
806 { | |
807 (*current_liboctave_error_handler) | |
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808 ("column dimension mismatch for stack"); |
458 | 809 return *this; |
810 } | |
811 | |
5275 | 812 octave_idx_type nr_insert = nr; |
458 | 813 ComplexMatrix retval (nr + 1, nc); |
814 retval.insert (*this, 0, 0); | |
815 retval.insert (a, nr_insert, 0); | |
816 return retval; | |
817 } | |
818 | |
819 ComplexMatrix | |
820 ComplexMatrix::stack (const ColumnVector& a) const | |
821 { | |
5275 | 822 octave_idx_type nr = rows (); |
823 octave_idx_type nc = cols (); | |
458 | 824 if (nc != 1) |
825 { | |
826 (*current_liboctave_error_handler) | |
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827 ("column dimension mismatch for stack"); |
458 | 828 return *this; |
829 } | |
830 | |
5275 | 831 octave_idx_type nr_insert = nr; |
458 | 832 ComplexMatrix retval (nr + a.length (), nc); |
833 retval.insert (*this, 0, 0); | |
834 retval.insert (a, nr_insert, 0); | |
835 return retval; | |
836 } | |
837 | |
838 ComplexMatrix | |
839 ComplexMatrix::stack (const DiagMatrix& a) const | |
840 { | |
5275 | 841 octave_idx_type nr = rows (); |
842 octave_idx_type nc = cols (); | |
458 | 843 if (nc != a.cols ()) |
844 { | |
845 (*current_liboctave_error_handler) | |
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846 ("column dimension mismatch for stack"); |
458 | 847 return *this; |
848 } | |
849 | |
5275 | 850 octave_idx_type nr_insert = nr; |
458 | 851 ComplexMatrix retval (nr + a.rows (), nc); |
852 retval.insert (*this, 0, 0); | |
853 retval.insert (a, nr_insert, 0); | |
854 return retval; | |
855 } | |
856 | |
857 ComplexMatrix | |
858 ComplexMatrix::stack (const ComplexMatrix& a) const | |
859 { | |
5275 | 860 octave_idx_type nr = rows (); |
861 octave_idx_type nc = cols (); | |
458 | 862 if (nc != a.cols ()) |
863 { | |
864 (*current_liboctave_error_handler) | |
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865 ("column dimension mismatch for stack"); |
458 | 866 return *this; |
867 } | |
868 | |
5275 | 869 octave_idx_type nr_insert = nr; |
458 | 870 ComplexMatrix retval (nr + a.rows (), nc); |
871 retval.insert (*this, 0, 0); | |
872 retval.insert (a, nr_insert, 0); | |
873 return retval; | |
874 } | |
875 | |
876 ComplexMatrix | |
877 ComplexMatrix::stack (const ComplexRowVector& a) const | |
878 { | |
5275 | 879 octave_idx_type nr = rows (); |
880 octave_idx_type nc = cols (); | |
458 | 881 if (nc != a.length ()) |
882 { | |
883 (*current_liboctave_error_handler) | |
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884 ("column dimension mismatch for stack"); |
458 | 885 return *this; |
886 } | |
887 | |
5275 | 888 octave_idx_type nr_insert = nr; |
458 | 889 ComplexMatrix retval (nr + 1, nc); |
890 retval.insert (*this, 0, 0); | |
891 retval.insert (a, nr_insert, 0); | |
892 return retval; | |
893 } | |
894 | |
895 ComplexMatrix | |
896 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
897 { | |
5275 | 898 octave_idx_type nr = rows (); |
899 octave_idx_type nc = cols (); | |
458 | 900 if (nc != 1) |
901 { | |
902 (*current_liboctave_error_handler) | |
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903 ("column dimension mismatch for stack"); |
458 | 904 return *this; |
905 } | |
906 | |
5275 | 907 octave_idx_type nr_insert = nr; |
458 | 908 ComplexMatrix retval (nr + a.length (), nc); |
909 retval.insert (*this, 0, 0); | |
910 retval.insert (a, nr_insert, 0); | |
911 return retval; | |
912 } | |
913 | |
914 ComplexMatrix | |
915 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
916 { | |
5275 | 917 octave_idx_type nr = rows (); |
918 octave_idx_type nc = cols (); | |
458 | 919 if (nc != a.cols ()) |
920 { | |
921 (*current_liboctave_error_handler) | |
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922 ("column dimension mismatch for stack"); |
458 | 923 return *this; |
924 } | |
925 | |
5275 | 926 octave_idx_type nr_insert = nr; |
458 | 927 ComplexMatrix retval (nr + a.rows (), nc); |
928 retval.insert (*this, 0, 0); | |
929 retval.insert (a, nr_insert, 0); | |
930 return retval; | |
931 } | |
932 | |
933 ComplexMatrix | |
934 conj (const ComplexMatrix& a) | |
935 { | |
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936 return do_mx_unary_map<Complex, Complex, std::conj<double> > (a); |
458 | 937 } |
938 | |
939 // resize is the destructive equivalent for this one | |
940 | |
941 ComplexMatrix | |
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942 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, |
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943 octave_idx_type r2, octave_idx_type c2) const |
458 | 944 { |
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945 if (r1 > r2) { std::swap (r1, r2); } |
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946 if (c1 > c2) { std::swap (c1, c2); } |
5275 | 947 |
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948 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
4316 | 949 } |
950 | |
951 ComplexMatrix | |
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952 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, |
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953 octave_idx_type nr, octave_idx_type nc) const |
4316 | 954 { |
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955 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
458 | 956 } |
957 | |
958 // extract row or column i. | |
959 | |
960 ComplexRowVector | |
5275 | 961 ComplexMatrix::row (octave_idx_type i) const |
458 | 962 { |
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963 return index (idx_vector (i), idx_vector::colon); |
458 | 964 } |
965 | |
966 ComplexColumnVector | |
5275 | 967 ComplexMatrix::column (octave_idx_type i) const |
458 | 968 { |
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969 return index (idx_vector::colon, idx_vector (i)); |
458 | 970 } |
971 | |
972 ComplexMatrix | |
973 ComplexMatrix::inverse (void) const | |
974 { | |
5275 | 975 octave_idx_type info; |
7788 | 976 double rcon; |
6207 | 977 MatrixType mattype (*this); |
7788 | 978 return inverse (mattype, info, rcon, 0, 0); |
6207 | 979 } |
980 | |
981 ComplexMatrix | |
6479 | 982 ComplexMatrix::inverse (octave_idx_type& info) const |
983 { | |
7788 | 984 double rcon; |
6479 | 985 MatrixType mattype (*this); |
7788 | 986 return inverse (mattype, info, rcon, 0, 0); |
6479 | 987 } |
988 | |
989 ComplexMatrix | |
7788 | 990 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
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991 int calc_cond) const |
6479 | 992 { |
993 MatrixType mattype (*this); | |
7788 | 994 return inverse (mattype, info, rcon, force, calc_cond); |
6479 | 995 } |
996 | |
997 ComplexMatrix | |
6207 | 998 ComplexMatrix::inverse (MatrixType &mattype) const |
999 { | |
1000 octave_idx_type info; | |
7788 | 1001 double rcon; |
1002 return inverse (mattype, info, rcon, 0, 0); | |
6207 | 1003 } |
1004 | |
1005 ComplexMatrix | |
1006 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
1007 { | |
7788 | 1008 double rcon; |
1009 return inverse (mattype, info, rcon, 0, 0); | |
458 | 1010 } |
1011 | |
1012 ComplexMatrix | |
6207 | 1013 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
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1014 double& rcon, int force, int calc_cond) const |
458 | 1015 { |
6207 | 1016 ComplexMatrix retval; |
1017 | |
1018 octave_idx_type nr = rows (); | |
1019 octave_idx_type nc = cols (); | |
1020 | |
1021 if (nr != nc || nr == 0 || nc == 0) | |
1022 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
1023 else | |
1024 { | |
1025 int typ = mattype.type (); | |
1026 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
1027 char udiag = 'N'; | |
1028 retval = *this; | |
1029 Complex *tmp_data = retval.fortran_vec (); | |
1030 | |
1031 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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1032 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1033 nr, tmp_data, nr, info |
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1034 F77_CHAR_ARG_LEN (1) |
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1035 F77_CHAR_ARG_LEN (1))); |
6207 | 1036 |
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1037 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1038 rcon = 0.0; |
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1039 if (info != 0) |
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1040 info = -1; |
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1041 else if (calc_cond) |
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1042 { |
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1043 octave_idx_type ztrcon_info = 0; |
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1044 char job = '1'; |
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1045 |
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1046 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1047 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1048 |
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1049 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1050 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1051 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1052 nr, tmp_data, nr, rcon, |
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1053 cwork, rwork, ztrcon_info |
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1054 F77_CHAR_ARG_LEN (1) |
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1055 F77_CHAR_ARG_LEN (1) |
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1056 F77_CHAR_ARG_LEN (1))); |
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1057 |
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1058 if (ztrcon_info != 0) |
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1059 info = -1; |
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1060 } |
6207 | 1061 |
1062 if (info == -1 && ! force) | |
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1063 retval = *this; // Restore matrix contents. |
6207 | 1064 } |
1065 | |
1066 return retval; | |
458 | 1067 } |
1068 | |
1069 ComplexMatrix | |
6207 | 1070 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
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1071 double& rcon, int force, int calc_cond) const |
458 | 1072 { |
1948 | 1073 ComplexMatrix retval; |
1074 | |
5275 | 1075 octave_idx_type nr = rows (); |
1076 octave_idx_type nc = cols (); | |
1948 | 1077 |
458 | 1078 if (nr != nc) |
1948 | 1079 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
458 | 1080 else |
1081 { | |
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1082 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
5275 | 1083 octave_idx_type *pipvt = ipvt.fortran_vec (); |
1948 | 1084 |
1085 retval = *this; | |
1086 Complex *tmp_data = retval.fortran_vec (); | |
1087 | |
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1088 Array<Complex> z (dim_vector (1, 1)); |
5275 | 1089 octave_idx_type lwork = -1; |
4330 | 1090 |
1091 // Query the optimum work array size. | |
4329 | 1092 |
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1093 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1094 z.fortran_vec (), lwork, info)); |
4329 | 1095 |
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1096 lwork = static_cast<octave_idx_type> (std::real (z(0))); |
4329 | 1097 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1098 z.resize (dim_vector (lwork, 1)); |
4329 | 1099 Complex *pz = z.fortran_vec (); |
1100 | |
1101 info = 0; | |
1102 | |
4330 | 1103 // Calculate the norm of the matrix, for later use. |
4329 | 1104 double anorm; |
1105 if (calc_cond) | |
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1106 anorm = retval.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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1107 .max (); |
4329 | 1108 |
1109 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
1948 | 1110 |
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1111 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1112 rcon = 0.0; |
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1113 if (info != 0) |
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1114 info = -1; |
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1115 else if (calc_cond) |
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1116 { |
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1117 // Now calculate the condition number for non-singular matrix. |
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1118 octave_idx_type zgecon_info = 0; |
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1119 char job = '1'; |
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1120 Array<double> rz (dim_vector (2 * nc, 1)); |
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1121 double *prz = rz.fortran_vec (); |
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1122 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1123 nc, tmp_data, nr, anorm, |
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1124 rcon, pz, prz, zgecon_info |
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1125 F77_CHAR_ARG_LEN (1))); |
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1126 |
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1127 if (zgecon_info != 0) |
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1128 info = -1; |
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1129 } |
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1130 |
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1131 if (info == -1 && ! force) |
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1132 retval = *this; // Restore contents. |
1948 | 1133 else |
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1134 { |
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1135 octave_idx_type zgetri_info = 0; |
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1136 |
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1137 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1138 pz, lwork, zgetri_info)); |
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1139 |
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1140 if (zgetri_info != 0) |
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1141 info = -1; |
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1142 } |
6207 | 1143 |
1144 if (info != 0) | |
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1145 mattype.mark_as_rectangular (); |
458 | 1146 } |
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1147 |
1948 | 1148 return retval; |
458 | 1149 } |
1150 | |
1151 ComplexMatrix | |
6207 | 1152 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1153 double& rcon, int force, int calc_cond) const |
6207 | 1154 { |
1155 int typ = mattype.type (false); | |
1156 ComplexMatrix ret; | |
1157 | |
1158 if (typ == MatrixType::Unknown) | |
1159 typ = mattype.type (*this); | |
1160 | |
1161 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
7788 | 1162 ret = tinverse (mattype, info, rcon, force, calc_cond); |
6840 | 1163 else |
6207 | 1164 { |
1165 if (mattype.is_hermitian ()) | |
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1166 { |
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1167 ComplexCHOL chol (*this, info, calc_cond); |
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1168 if (info == 0) |
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1169 { |
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1170 if (calc_cond) |
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1171 rcon = chol.rcond (); |
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1172 else |
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1173 rcon = 1.0; |
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1174 ret = chol.inverse (); |
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1175 } |
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1176 else |
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1177 mattype.mark_as_unsymmetric (); |
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1178 } |
6207 | 1179 |
1180 if (!mattype.is_hermitian ()) | |
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1181 ret = finverse (mattype, info, rcon, force, calc_cond); |
7788 | 1182 |
1183 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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1184 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
6207 | 1185 } |
1186 | |
1187 return ret; | |
1188 } | |
1189 | |
1190 ComplexMatrix | |
4384 | 1191 ComplexMatrix::pseudo_inverse (double tol) const |
740 | 1192 { |
1549 | 1193 ComplexMatrix retval; |
1194 | |
3480 | 1195 ComplexSVD result (*this, SVD::economy); |
740 | 1196 |
1197 DiagMatrix S = result.singular_values (); | |
1198 ComplexMatrix U = result.left_singular_matrix (); | |
1199 ComplexMatrix V = result.right_singular_matrix (); | |
1200 | |
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1201 ColumnVector sigma = S.extract_diag (); |
740 | 1202 |
5275 | 1203 octave_idx_type r = sigma.length () - 1; |
1204 octave_idx_type nr = rows (); | |
1205 octave_idx_type nc = cols (); | |
740 | 1206 |
1207 if (tol <= 0.0) | |
1208 { | |
1209 if (nr > nc) | |
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1210 tol = nr * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 1211 else |
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1212 tol = nc * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 1213 } |
1214 | |
1215 while (r >= 0 && sigma.elem (r) < tol) | |
1216 r--; | |
1217 | |
1218 if (r < 0) | |
1549 | 1219 retval = ComplexMatrix (nc, nr, 0.0); |
740 | 1220 else |
1221 { | |
1222 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
1223 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
1224 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
1549 | 1225 retval = Vr * D * Ur.hermitian (); |
740 | 1226 } |
1549 | 1227 |
1228 return retval; | |
740 | 1229 } |
1230 | |
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1231 #if defined (HAVE_FFTW) |
3827 | 1232 |
1233 ComplexMatrix | |
1234 ComplexMatrix::fourier (void) const | |
1235 { | |
1236 size_t nr = rows (); | |
1237 size_t nc = cols (); | |
1238 | |
1239 ComplexMatrix retval (nr, nc); | |
1240 | |
1241 size_t npts, nsamples; | |
1242 | |
1243 if (nr == 1 || nc == 1) | |
1244 { | |
1245 npts = nr > nc ? nr : nc; | |
1246 nsamples = 1; | |
1247 } | |
1248 else | |
1249 { | |
1250 npts = nr; | |
1251 nsamples = nc; | |
1252 } | |
1253 | |
1254 const Complex *in (data ()); | |
1255 Complex *out (retval.fortran_vec ()); | |
1256 | |
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1257 octave_fftw::fft (in, out, npts, nsamples); |
3827 | 1258 |
1259 return retval; | |
1260 } | |
1261 | |
1262 ComplexMatrix | |
1263 ComplexMatrix::ifourier (void) const | |
1264 { | |
1265 size_t nr = rows (); | |
1266 size_t nc = cols (); | |
1267 | |
1268 ComplexMatrix retval (nr, nc); | |
1269 | |
1270 size_t npts, nsamples; | |
1271 | |
1272 if (nr == 1 || nc == 1) | |
1273 { | |
1274 npts = nr > nc ? nr : nc; | |
1275 nsamples = 1; | |
1276 } | |
1277 else | |
1278 { | |
1279 npts = nr; | |
1280 nsamples = nc; | |
1281 } | |
1282 | |
1283 const Complex *in (data ()); | |
1284 Complex *out (retval.fortran_vec ()); | |
1285 | |
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1286 octave_fftw::ifft (in, out, npts, nsamples); |
3827 | 1287 |
1288 return retval; | |
1289 } | |
1290 | |
1291 ComplexMatrix | |
1292 ComplexMatrix::fourier2d (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::fftNd (in, out, 2, dv); | |
3827 | 1301 |
1302 return retval; | |
1303 } | |
1304 | |
1305 ComplexMatrix | |
1306 ComplexMatrix::ifourier2d (void) const | |
1307 { | |
4773 | 1308 dim_vector dv(rows (), cols ()); |
1309 | |
1310 ComplexMatrix retval (rows (), cols ()); | |
1311 const Complex *in (data ()); | |
1312 Complex *out (retval.fortran_vec ()); | |
1313 | |
1314 octave_fftw::ifftNd (in, out, 2, dv); | |
3827 | 1315 |
1316 return retval; | |
1317 } | |
1318 | |
1319 #else | |
1320 | |
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1321 extern "C" |
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1322 { |
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1323 // Note that the original complex fft routines were not written for |
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1324 // double complex arguments. They have been modified by adding an |
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1325 // implicit double precision (a-h,o-z) statement at the beginning of |
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1326 // each subroutine. |
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1327 |
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1328 F77_RET_T |
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1329 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1330 |
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1331 F77_RET_T |
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1332 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1333 |
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1334 F77_RET_T |
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1335 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1336 } |
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1337 |
740 | 1338 ComplexMatrix |
458 | 1339 ComplexMatrix::fourier (void) const |
1340 { | |
1948 | 1341 ComplexMatrix retval; |
1342 | |
5275 | 1343 octave_idx_type nr = rows (); |
1344 octave_idx_type nc = cols (); | |
1345 | |
1346 octave_idx_type npts, nsamples; | |
1948 | 1347 |
458 | 1348 if (nr == 1 || nc == 1) |
1349 { | |
1350 npts = nr > nc ? nr : nc; | |
1351 nsamples = 1; | |
1352 } | |
1353 else | |
1354 { | |
1355 npts = nr; | |
1356 nsamples = nc; | |
1357 } | |
1358 | |
5275 | 1359 octave_idx_type nn = 4*npts+15; |
1948 | 1360 |
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1361 Array<Complex> wsave (nn, 1); |
1948 | 1362 Complex *pwsave = wsave.fortran_vec (); |
1363 | |
1364 retval = *this; | |
1365 Complex *tmp_data = retval.fortran_vec (); | |
1366 | |
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1367 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1368 |
5275 | 1369 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1370 { |
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1371 octave_quit (); |
4153 | 1372 |
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1373 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1374 } |
1948 | 1375 |
1376 return retval; | |
458 | 1377 } |
1378 | |
1379 ComplexMatrix | |
1380 ComplexMatrix::ifourier (void) const | |
1381 { | |
1948 | 1382 ComplexMatrix retval; |
1383 | |
5275 | 1384 octave_idx_type nr = rows (); |
1385 octave_idx_type nc = cols (); | |
1386 | |
1387 octave_idx_type npts, nsamples; | |
1948 | 1388 |
458 | 1389 if (nr == 1 || nc == 1) |
1390 { | |
1391 npts = nr > nc ? nr : nc; | |
1392 nsamples = 1; | |
1393 } | |
1394 else | |
1395 { | |
1396 npts = nr; | |
1397 nsamples = nc; | |
1398 } | |
1399 | |
5275 | 1400 octave_idx_type nn = 4*npts+15; |
1948 | 1401 |
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1402 Array<Complex> wsave (nn, 1); |
1948 | 1403 Complex *pwsave = wsave.fortran_vec (); |
1404 | |
1405 retval = *this; | |
1406 Complex *tmp_data = retval.fortran_vec (); | |
1407 | |
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1408 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1409 |
5275 | 1410 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1411 { |
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1412 octave_quit (); |
4153 | 1413 |
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1414 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1415 } |
458 | 1416 |
5275 | 1417 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1418 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
458 | 1419 |
1948 | 1420 return retval; |
458 | 1421 } |
1422 | |
677 | 1423 ComplexMatrix |
1424 ComplexMatrix::fourier2d (void) const | |
1425 { | |
1948 | 1426 ComplexMatrix retval; |
1427 | |
5275 | 1428 octave_idx_type nr = rows (); |
1429 octave_idx_type nc = cols (); | |
1430 | |
1431 octave_idx_type npts, nsamples; | |
1948 | 1432 |
677 | 1433 if (nr == 1 || nc == 1) |
1434 { | |
1435 npts = nr > nc ? nr : nc; | |
1436 nsamples = 1; | |
1437 } | |
1438 else | |
1439 { | |
1440 npts = nr; | |
1441 nsamples = nc; | |
1442 } | |
1443 | |
5275 | 1444 octave_idx_type nn = 4*npts+15; |
1948 | 1445 |
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1446 Array<Complex> wsave (nn, 1); |
1948 | 1447 Complex *pwsave = wsave.fortran_vec (); |
1448 | |
1449 retval = *this; | |
1450 Complex *tmp_data = retval.fortran_vec (); | |
1451 | |
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1452 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1453 |
5275 | 1454 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1455 { |
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1456 octave_quit (); |
4153 | 1457 |
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1458 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1459 } |
677 | 1460 |
1461 npts = nc; | |
1462 nsamples = nr; | |
1463 nn = 4*npts+15; | |
1948 | 1464 |
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1465 wsave.resize (dim_vector (nn, 1)); |
1948 | 1466 pwsave = wsave.fortran_vec (); |
1467 | |
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1468 Array<Complex> tmp (npts, 1); |
4773 | 1469 Complex *prow = tmp.fortran_vec (); |
1948 | 1470 |
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1471 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1472 |
5275 | 1473 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1474 { |
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1475 octave_quit (); |
4153 | 1476 |
5275 | 1477 for (octave_idx_type i = 0; i < npts; i++) |
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1478 prow[i] = tmp_data[i*nr + j]; |
1948 | 1479 |
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1480 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
677 | 1481 |
5275 | 1482 for (octave_idx_type i = 0; i < npts; i++) |
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1483 tmp_data[i*nr + j] = prow[i]; |
677 | 1484 } |
1485 | |
1948 | 1486 return retval; |
677 | 1487 } |
1488 | |
1489 ComplexMatrix | |
1490 ComplexMatrix::ifourier2d (void) const | |
1491 { | |
1948 | 1492 ComplexMatrix retval; |
1493 | |
5275 | 1494 octave_idx_type nr = rows (); |
1495 octave_idx_type nc = cols (); | |
1496 | |
1497 octave_idx_type npts, nsamples; | |
1948 | 1498 |
677 | 1499 if (nr == 1 || nc == 1) |
1500 { | |
1501 npts = nr > nc ? nr : nc; | |
1502 nsamples = 1; | |
1503 } | |
1504 else | |
1505 { | |
1506 npts = nr; | |
1507 nsamples = nc; | |
1508 } | |
1509 | |
5275 | 1510 octave_idx_type nn = 4*npts+15; |
1948 | 1511 |
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1512 Array<Complex> wsave (nn, 1); |
1948 | 1513 Complex *pwsave = wsave.fortran_vec (); |
1514 | |
1515 retval = *this; | |
1516 Complex *tmp_data = retval.fortran_vec (); | |
1517 | |
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1518 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1519 |
5275 | 1520 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1521 { |
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1522 octave_quit (); |
4153 | 1523 |
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1524 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1525 } |
677 | 1526 |
5275 | 1527 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1528 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
677 | 1529 |
1530 npts = nc; | |
1531 nsamples = nr; | |
1532 nn = 4*npts+15; | |
1948 | 1533 |
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1534 wsave.resize (dim_vector (nn, 1)); |
1948 | 1535 pwsave = wsave.fortran_vec (); |
1536 | |
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1537 Array<Complex> tmp (npts, 1); |
4773 | 1538 Complex *prow = tmp.fortran_vec (); |
1948 | 1539 |
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1540 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1541 |
5275 | 1542 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1543 { |
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1544 octave_quit (); |
4153 | 1545 |
5275 | 1546 for (octave_idx_type i = 0; i < npts; i++) |
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1547 prow[i] = tmp_data[i*nr + j]; |
1948 | 1548 |
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1549 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
677 | 1550 |
5275 | 1551 for (octave_idx_type i = 0; i < npts; i++) |
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1552 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
677 | 1553 } |
1554 | |
1948 | 1555 return retval; |
677 | 1556 } |
1557 | |
3827 | 1558 #endif |
1559 | |
458 | 1560 ComplexDET |
1561 ComplexMatrix::determinant (void) const | |
1562 { | |
5275 | 1563 octave_idx_type info; |
7788 | 1564 double rcon; |
1565 return determinant (info, rcon, 0); | |
458 | 1566 } |
1567 | |
1568 ComplexDET | |
5275 | 1569 ComplexMatrix::determinant (octave_idx_type& info) const |
458 | 1570 { |
7788 | 1571 double rcon; |
1572 return determinant (info, rcon, 0); | |
458 | 1573 } |
1574 | |
1575 ComplexDET | |
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1576 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, |
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1577 int calc_cond) const |
458 | 1578 { |
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1579 MatrixType mattype (*this); |
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1580 return determinant (mattype, info, rcon, calc_cond); |
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1581 } |
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1582 |
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1583 ComplexDET |
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1584 ComplexMatrix::determinant (MatrixType& mattype, |
8806 | 1585 octave_idx_type& info, double& rcon, |
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1586 int calc_cond) const |
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1587 { |
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1588 ComplexDET retval (1.0); |
458 | 1589 |
13828
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1590 info = 0; |
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1591 rcon = 0.0; |
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1592 |
5275 | 1593 octave_idx_type nr = rows (); |
1594 octave_idx_type nc = cols (); | |
458 | 1595 |
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1596 if (nr != nc) |
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1597 (*current_liboctave_error_handler) ("matrix must be square"); |
458 | 1598 else |
1599 { | |
8806 | 1600 volatile int typ = mattype.type (); |
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1601 |
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1602 // Even though the matrix is marked as singular (Rectangular), we may |
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1603 // still get a useful number from the LU factorization, because it always |
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1604 // completes. |
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1605 |
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1606 if (typ == MatrixType::Unknown) |
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1607 typ = mattype.type (*this); |
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1608 else if (typ == MatrixType::Rectangular) |
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1609 typ = MatrixType::Full; |
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1610 |
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1611 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1612 { |
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1613 for (octave_idx_type i = 0; i < nc; i++) |
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1614 retval *= elem (i,i); |
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1615 } |
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1616 else if (typ == MatrixType::Hermitian) |
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1617 { |
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1618 ComplexMatrix atmp = *this; |
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1619 Complex *tmp_data = atmp.fortran_vec (); |
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|
1620 |
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1621 double anorm = 0; |
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1622 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1623 |
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|
1624 |
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|
1625 char job = 'L'; |
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|
1626 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
8336
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|
1627 tmp_data, nr, info |
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|
1628 F77_CHAR_ARG_LEN (1))); |
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|
1629 |
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|
1630 if (info != 0) |
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|
1631 { |
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|
1632 rcon = 0.0; |
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|
1633 mattype.mark_as_unsymmetric (); |
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|
1634 typ = MatrixType::Full; |
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|
1635 } |
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|
1636 else |
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|
1637 { |
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|
1638 Array<Complex> z (dim_vector (2 * nc, 1)); |
8336
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|
1639 Complex *pz = z.fortran_vec (); |
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|
1640 Array<double> rz (dim_vector (nc, 1)); |
8336
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|
1641 double *prz = rz.fortran_vec (); |
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1642 |
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|
1643 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1644 nr, tmp_data, nr, anorm, |
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1645 rcon, pz, prz, info |
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|
1646 F77_CHAR_ARG_LEN (1))); |
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1647 |
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1648 if (info != 0) |
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|
1649 rcon = 0.0; |
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|
1650 |
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|
1651 for (octave_idx_type i = 0; i < nc; i++) |
8337
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|
1652 retval *= atmp (i,i); |
8336
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1653 |
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1654 retval = retval.square (); |
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|
1655 } |
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|
1656 } |
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1657 else if (typ != MatrixType::Full) |
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|
1658 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1659 |
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|
1660 if (typ == MatrixType::Full) |
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|
1661 { |
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|
1662 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
8336
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|
1663 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1664 |
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1665 ComplexMatrix atmp = *this; |
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|
1666 Complex *tmp_data = atmp.fortran_vec (); |
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1667 |
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|
1668 info = 0; |
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|
1669 |
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|
1670 // Calculate the norm of the matrix, for later use. |
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|
1671 double anorm = 0; |
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|
1672 if (calc_cond) anorm = xnorm (*this, 1); |
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1673 |
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|
1674 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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|
1675 |
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|
1676 // Throw-away extra info LAPACK gives so as to not change output. |
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|
1677 rcon = 0.0; |
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|
1678 if (info != 0) |
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|
1679 { |
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|
1680 info = -1; |
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|
1681 retval = ComplexDET (); |
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|
1682 } |
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|
1683 else |
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|
1684 { |
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|
1685 if (calc_cond) |
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|
1686 { |
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|
1687 // Now calc the condition number for non-singular matrix. |
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|
1688 char job = '1'; |
11570
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|
1689 Array<Complex> z (dim_vector (2 * nc, 1)); |
8336
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|
1690 Complex *pz = z.fortran_vec (); |
11570
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changeset
|
1691 Array<double> rz (dim_vector (2 * nc, 1)); |
8336
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changeset
|
1692 double *prz = rz.fortran_vec (); |
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|
1693 |
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changeset
|
1694 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
11586
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|
1695 nc, tmp_data, nr, anorm, |
8336
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diff
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|
1696 rcon, pz, prz, info |
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changeset
|
1697 F77_CHAR_ARG_LEN (1))); |
8335 | 1698 } |
8336
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|
1699 |
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|
1700 if (info != 0) |
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diff
changeset
|
1701 { |
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diff
changeset
|
1702 info = -1; |
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|
1703 retval = ComplexDET (); |
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diff
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|
1704 } |
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changeset
|
1705 else |
8336
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|
1706 { |
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changeset
|
1707 for (octave_idx_type i = 0; i < nc; i++) |
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|
1708 { |
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changeset
|
1709 Complex c = atmp(i,i); |
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|
1710 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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|
1711 } |
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|
1712 } |
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|
1713 } |
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|
1714 } |
458 | 1715 } |
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|
1716 |
458 | 1717 return retval; |
1718 } | |
1719 | |
7788 | 1720 double |
1721 ComplexMatrix::rcond (void) const | |
1722 { | |
1723 MatrixType mattype (*this); | |
1724 return rcond (mattype); | |
1725 } | |
1726 | |
1727 double | |
1728 ComplexMatrix::rcond (MatrixType &mattype) const | |
1729 { | |
18632
cb37b17b6091
Initialize rcond value to octave_NaN.
PrasannaKumar Muralidharan <prasannatsmkumar@gmail.com>
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18084
diff
changeset
|
1730 double rcon = octave_NaN; |
7788 | 1731 octave_idx_type nr = rows (); |
1732 octave_idx_type nc = cols (); | |
1733 | |
1734 if (nr != nc) | |
1735 (*current_liboctave_error_handler) ("matrix must be square"); | |
1736 else if (nr == 0 || nc == 0) | |
1737 rcon = octave_Inf; | |
1738 else | |
1739 { | |
16300
23c5f90f92cd
eliminate some variable might be clobbered by 'longjmp' or 'vfork' warnings
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15448
diff
changeset
|
1740 volatile int typ = mattype.type (); |
7788 | 1741 |
1742 if (typ == MatrixType::Unknown) | |
10314
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untabify liboctave C++ sources
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diff
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|
1743 typ = mattype.type (*this); |
7788 | 1744 |
1745 // Only calculate the condition number for LU/Cholesky | |
1746 if (typ == MatrixType::Upper) | |
10314
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|
1747 { |
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changeset
|
1748 const Complex *tmp_data = fortran_vec (); |
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changeset
|
1749 octave_idx_type info = 0; |
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diff
changeset
|
1750 char norm = '1'; |
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diff
changeset
|
1751 char uplo = 'U'; |
07ebe522dac2
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changeset
|
1752 char dia = 'N'; |
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|
1753 |
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changeset
|
1754 Array<Complex> z (dim_vector (2 * nc, 1)); |
10314
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changeset
|
1755 Complex *pz = z.fortran_vec (); |
11570
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changeset
|
1756 Array<double> rz (dim_vector (nc, 1)); |
10314
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changeset
|
1757 double *prz = rz.fortran_vec (); |
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changeset
|
1758 |
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changeset
|
1759 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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|
1760 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
1761 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
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changeset
|
1762 nr, tmp_data, nr, rcon, |
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changeset
|
1763 pz, prz, info |
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changeset
|
1764 F77_CHAR_ARG_LEN (1) |
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|
1765 F77_CHAR_ARG_LEN (1) |
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1766 F77_CHAR_ARG_LEN (1))); |
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|
1767 |
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1768 if (info != 0) |
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|
1769 rcon = 0; |
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|
1770 } |
7788 | 1771 else if (typ == MatrixType::Permuted_Upper) |
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1772 (*current_liboctave_error_handler) |
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1773 ("permuted triangular matrix not implemented"); |
7788 | 1774 else if (typ == MatrixType::Lower) |
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1775 { |
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|
1776 const Complex *tmp_data = fortran_vec (); |
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1777 octave_idx_type info = 0; |
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1778 char norm = '1'; |
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1779 char uplo = 'L'; |
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1780 char dia = 'N'; |
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|
1781 |
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1782 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1783 Complex *pz = z.fortran_vec (); |
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1784 Array<double> rz (dim_vector (nc, 1)); |
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1785 double *prz = rz.fortran_vec (); |
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1786 |
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1787 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1788 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1789 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1790 nr, tmp_data, nr, rcon, |
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1791 pz, prz, info |
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1792 F77_CHAR_ARG_LEN (1) |
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|
1793 F77_CHAR_ARG_LEN (1) |
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1794 F77_CHAR_ARG_LEN (1))); |
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1795 |
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1796 if (info != 0) |
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1797 rcon = 0.0; |
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1798 } |
7788 | 1799 else if (typ == MatrixType::Permuted_Lower) |
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1800 (*current_liboctave_error_handler) |
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|
1801 ("permuted triangular matrix not implemented"); |
7788 | 1802 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
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1803 { |
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1804 double anorm = -1.0; |
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1805 |
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1806 if (typ == MatrixType::Hermitian) |
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1807 { |
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1808 octave_idx_type info = 0; |
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1809 char job = 'L'; |
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1810 |
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1811 ComplexMatrix atmp = *this; |
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1812 Complex *tmp_data = atmp.fortran_vec (); |
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1813 |
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|
1814 anorm = atmp.abs().sum(). |
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1815 row(static_cast<octave_idx_type>(0)).max(); |
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1816 |
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1817 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1818 tmp_data, nr, 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 { |
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1823 rcon = 0.0; |
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1824 |
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1825 mattype.mark_as_unsymmetric (); |
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1826 typ = MatrixType::Full; |
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1827 } |
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1828 else |
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1829 { |
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1830 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1831 Complex *pz = z.fortran_vec (); |
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1832 Array<double> rz (dim_vector (nc, 1)); |
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|
1833 double *prz = rz.fortran_vec (); |
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1834 |
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1835 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1836 nr, tmp_data, nr, anorm, |
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1837 rcon, pz, prz, info |
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|
1838 F77_CHAR_ARG_LEN (1))); |
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1839 |
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1840 if (info != 0) |
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1841 rcon = 0.0; |
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1842 } |
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|
1843 } |
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|
1844 |
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1845 |
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1846 if (typ == MatrixType::Full) |
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1847 { |
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1848 octave_idx_type info = 0; |
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1849 |
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|
1850 ComplexMatrix atmp = *this; |
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|
1851 Complex *tmp_data = atmp.fortran_vec (); |
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1852 |
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1853 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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1854 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1855 |
15018
3d8ace26c5b4
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Rik <rik@octave.org>
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|
1856 if (anorm < 0.) |
14846
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|
1857 anorm = atmp.abs ().sum (). |
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1858 row(static_cast<octave_idx_type>(0)).max (); |
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|
1859 |
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|
1860 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1861 Complex *pz = z.fortran_vec (); |
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1862 Array<double> rz (dim_vector (2 * nc, 1)); |
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|
1863 double *prz = rz.fortran_vec (); |
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1864 |
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1865 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1866 |
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1867 if (info != 0) |
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1868 { |
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|
1869 rcon = 0.0; |
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|
1870 mattype.mark_as_rectangular (); |
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1871 } |
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1872 else |
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1873 { |
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1874 char job = '1'; |
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|
1875 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1876 nc, tmp_data, nr, anorm, |
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1877 rcon, pz, prz, info |
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|
1878 F77_CHAR_ARG_LEN (1))); |
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1879 |
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1880 if (info != 0) |
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|
1881 rcon = 0.0; |
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|
1882 } |
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|
1883 } |
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|
1884 } |
7788 | 1885 else |
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1886 rcon = 0.0; |
7788 | 1887 } |
1888 | |
1889 return rcon; | |
1890 } | |
1891 | |
458 | 1892 ComplexMatrix |
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1893 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1894 octave_idx_type& info, double& rcon, |
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1895 solve_singularity_handler sing_handler, |
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1896 bool calc_cond, blas_trans_type transt) const |
5785 | 1897 { |
1898 ComplexMatrix retval; | |
1899 | |
1900 octave_idx_type nr = rows (); | |
1901 octave_idx_type nc = cols (); | |
1902 | |
6924 | 1903 if (nr != b.rows ()) |
5785 | 1904 (*current_liboctave_error_handler) |
1905 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1906 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1907 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1908 else |
1909 { | |
1910 volatile int typ = mattype.type (); | |
1911 | |
1912 if (typ == MatrixType::Permuted_Upper || | |
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1913 typ == MatrixType::Upper) |
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1914 { |
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1915 octave_idx_type b_nc = b.cols (); |
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1916 rcon = 1.; |
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1917 info = 0; |
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1918 |
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1919 if (typ == MatrixType::Permuted_Upper) |
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1920 { |
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1921 (*current_liboctave_error_handler) |
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1922 ("permuted triangular matrix not implemented"); |
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1923 } |
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1924 else |
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1925 { |
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1926 const Complex *tmp_data = fortran_vec (); |
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1927 |
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1928 if (calc_cond) |
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1929 { |
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1930 char norm = '1'; |
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1931 char uplo = 'U'; |
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1932 char dia = 'N'; |
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1933 |
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1934 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1935 Complex *pz = z.fortran_vec (); |
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1936 Array<double> rz (dim_vector (nc, 1)); |
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1937 double *prz = rz.fortran_vec (); |
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1938 |
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1939 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1940 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1941 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1942 nr, tmp_data, nr, rcon, |
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1943 pz, prz, info |
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1944 F77_CHAR_ARG_LEN (1) |
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1945 F77_CHAR_ARG_LEN (1) |
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1946 F77_CHAR_ARG_LEN (1))); |
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1947 |
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1948 if (info != 0) |
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1949 info = -2; |
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1950 |
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1951 volatile double rcond_plus_one = rcon + 1.0; |
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1952 |
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1953 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1954 { |
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1955 info = -2; |
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1956 |
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1957 if (sing_handler) |
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1958 sing_handler (rcon); |
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1959 else |
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1960 (*current_liboctave_error_handler) |
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1961 ("matrix singular to machine precision, rcond = %g", |
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1962 rcon); |
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1963 } |
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1964 } |
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1965 |
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1966 if (info == 0) |
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1967 { |
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1968 retval = b; |
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1969 Complex *result = retval.fortran_vec (); |
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1970 |
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1971 char uplo = 'U'; |
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1972 char trans = get_blas_char (transt); |
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1973 char dia = 'N'; |
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1974 |
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1975 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1976 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1977 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1978 nr, b_nc, tmp_data, nr, |
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1979 result, nr, info |
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1980 F77_CHAR_ARG_LEN (1) |
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1981 F77_CHAR_ARG_LEN (1) |
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1982 F77_CHAR_ARG_LEN (1))); |
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1983 } |
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1984 } |
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1985 } |
5785 | 1986 else |
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1987 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1988 } |
1989 | |
1990 return retval; | |
1991 } | |
1992 | |
1993 ComplexMatrix | |
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1994 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1995 octave_idx_type& info, double& rcon, |
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1996 solve_singularity_handler sing_handler, |
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1997 bool calc_cond, blas_trans_type transt) const |
5785 | 1998 { |
1999 ComplexMatrix retval; | |
2000 | |
2001 octave_idx_type nr = rows (); | |
2002 octave_idx_type nc = cols (); | |
2003 | |
6924 | 2004 if (nr != b.rows ()) |
5785 | 2005 (*current_liboctave_error_handler) |
2006 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2007 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2008 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2009 else |
2010 { | |
2011 volatile int typ = mattype.type (); | |
2012 | |
2013 if (typ == MatrixType::Permuted_Lower || | |
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2014 typ == MatrixType::Lower) |
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2015 { |
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2016 octave_idx_type b_nc = b.cols (); |
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2017 rcon = 1.; |
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2018 info = 0; |
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2019 |
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2020 if (typ == MatrixType::Permuted_Lower) |
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2021 { |
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2022 (*current_liboctave_error_handler) |
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2023 ("permuted triangular matrix not implemented"); |
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2024 } |
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2025 else |
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2026 { |
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2027 const Complex *tmp_data = fortran_vec (); |
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2028 |
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2029 if (calc_cond) |
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2030 { |
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2031 char norm = '1'; |
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2032 char uplo = 'L'; |
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2033 char dia = 'N'; |
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2034 |
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2035 Array<Complex> z (dim_vector (2 * nc, 1)); |
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2036 Complex *pz = z.fortran_vec (); |
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2037 Array<double> rz (dim_vector (nc, 1)); |
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2038 double *prz = rz.fortran_vec (); |
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2039 |
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2040 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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2041 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2042 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2043 nr, tmp_data, nr, rcon, |
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2044 pz, prz, info |
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2045 F77_CHAR_ARG_LEN (1) |
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2046 F77_CHAR_ARG_LEN (1) |
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2047 F77_CHAR_ARG_LEN (1))); |
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2048 |
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2049 if (info != 0) |
10314
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2050 info = -2; |
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|
2051 |
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2052 volatile double rcond_plus_one = rcon + 1.0; |
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2053 |
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2054 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2055 { |
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|
2056 info = -2; |
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|
2057 |
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2058 if (sing_handler) |
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2059 sing_handler (rcon); |
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|
2060 else |
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2061 (*current_liboctave_error_handler) |
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|
2062 ("matrix singular to machine precision, rcond = %g", |
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2063 rcon); |
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|
2064 } |
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|
2065 } |
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|
2066 |
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2067 if (info == 0) |
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|
2068 { |
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|
2069 retval = b; |
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|
2070 Complex *result = retval.fortran_vec (); |
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2071 |
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2072 char uplo = 'L'; |
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2073 char trans = get_blas_char (transt); |
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untabify liboctave C++ sources
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2074 char dia = 'N'; |
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|
2075 |
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2076 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
12df7854fa7c
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|
2077 F77_CONST_CHAR_ARG2 (&trans, 1), |
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2078 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
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|
2079 nr, b_nc, tmp_data, nr, |
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2080 result, nr, info |
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|
2081 F77_CHAR_ARG_LEN (1) |
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|
2082 F77_CHAR_ARG_LEN (1) |
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2083 F77_CHAR_ARG_LEN (1))); |
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|
2084 } |
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|
2085 } |
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|
2086 } |
5785 | 2087 else |
10314
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|
2088 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 2089 } |
2090 | |
2091 return retval; | |
2092 } | |
2093 | |
2094 ComplexMatrix | |
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2095 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
2096 octave_idx_type& info, double& rcon, |
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|
2097 solve_singularity_handler sing_handler, |
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|
2098 bool calc_cond) const |
5785 | 2099 { |
2100 ComplexMatrix retval; | |
2101 | |
2102 octave_idx_type nr = rows (); | |
2103 octave_idx_type nc = cols (); | |
2104 | |
6924 | 2105 |
2106 if (nr != nc || nr != b.rows ()) | |
5785 | 2107 (*current_liboctave_error_handler) |
6924 | 2108 ("matrix dimension mismatch solution of linear equations"); |
2109 else if (nr == 0 || b.cols () == 0) | |
2110 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2111 else |
2112 { | |
2113 volatile int typ = mattype.type (); | |
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2114 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
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17744
diff
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|
2115 // Calculate the norm of the matrix, for later use. |
5785 | 2116 double anorm = -1.; |
2117 | |
2118 if (typ == MatrixType::Hermitian) | |
10314
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|
2119 { |
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|
2120 info = 0; |
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|
2121 char job = 'L'; |
15382
197774b411ec
rcond: use new copy of data for full factorization if positive definite cholesky factorization fails (bug #37336)
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diff
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|
2122 |
10314
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2123 ComplexMatrix atmp = *this; |
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|
2124 Complex *tmp_data = atmp.fortran_vec (); |
15382
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|
2125 |
10314
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2126 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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|
2127 |
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|
2128 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
10314
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2129 tmp_data, nr, info |
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|
2130 F77_CHAR_ARG_LEN (1))); |
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|
2131 |
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2132 // Throw-away extra info LAPACK gives so as to not change output. |
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2133 rcon = 0.0; |
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2134 if (info != 0) |
10314
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|
2135 { |
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|
2136 info = -2; |
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|
2137 |
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|
2138 mattype.mark_as_unsymmetric (); |
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2139 typ = MatrixType::Full; |
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|
2140 } |
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|
2141 else |
10314
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|
2142 { |
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|
2143 if (calc_cond) |
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|
2144 { |
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
2145 Array<Complex> z (dim_vector (2 * nc, 1)); |
10314
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|
2146 Complex *pz = z.fortran_vec (); |
11570
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attempt better backward compatibility for Array constructors
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diff
changeset
|
2147 Array<double> rz (dim_vector (nc, 1)); |
10314
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|
2148 double *prz = rz.fortran_vec (); |
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|
2149 |
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changeset
|
2150 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
2151 nr, tmp_data, nr, anorm, |
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|
2152 rcon, pz, prz, info |
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|
2153 F77_CHAR_ARG_LEN (1))); |
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|
2154 |
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|
2155 if (info != 0) |
10314
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changeset
|
2156 info = -2; |
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changeset
|
2157 |
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changeset
|
2158 volatile double rcond_plus_one = rcon + 1.0; |
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|
2159 |
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|
2160 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
2161 { |
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changeset
|
2162 info = -2; |
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|
2163 |
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|
2164 if (sing_handler) |
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|
2165 sing_handler (rcon); |
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|
2166 else |
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|
2167 (*current_liboctave_error_handler) |
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|
2168 ("matrix singular to machine precision, rcond = %g", |
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|
2169 rcon); |
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changeset
|
2170 } |
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changeset
|
2171 } |
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changeset
|
2172 |
07ebe522dac2
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2173 if (info == 0) |
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|
2174 { |
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changeset
|
2175 retval = b; |
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|
2176 Complex *result = retval.fortran_vec (); |
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|
2177 |
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changeset
|
2178 octave_idx_type b_nc = b.cols (); |
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changeset
|
2179 |
07ebe522dac2
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changeset
|
2180 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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changeset
|
2181 nr, b_nc, tmp_data, nr, |
14846
460a3c6d8bf1
maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents:
14557
diff
changeset
|
2182 result, b.rows (), info |
10314
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changeset
|
2183 F77_CHAR_ARG_LEN (1))); |
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changeset
|
2184 } |
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changeset
|
2185 else |
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changeset
|
2186 { |
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changeset
|
2187 mattype.mark_as_unsymmetric (); |
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2188 typ = MatrixType::Full; |
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2189 } |
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2190 } |
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2191 } |
5785 | 2192 |
2193 if (typ == MatrixType::Full) | |
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2194 { |
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2195 info = 0; |
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2196 |
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2197 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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2198 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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2199 |
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2200 ComplexMatrix atmp = *this; |
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2201 Complex *tmp_data = atmp.fortran_vec (); |
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2202 |
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2203 Array<Complex> z (dim_vector (2 * nc, 1)); |
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2204 Complex *pz = z.fortran_vec (); |
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2205 Array<double> rz (dim_vector (2 * nc, 1)); |
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2206 double *prz = rz.fortran_vec (); |
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2207 |
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2208 // Calculate the norm of the matrix, for later use. |
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2209 if (anorm < 0.) |
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2210 anorm = atmp.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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2211 .max (); |
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2212 |
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2213 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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2214 |
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2215 // Throw-away extra info LAPACK gives so as to not change output. |
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2216 rcon = 0.0; |
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2217 if (info != 0) |
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2218 { |
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2219 info = -2; |
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2220 |
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2221 if (sing_handler) |
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2222 sing_handler (rcon); |
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2223 else |
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2224 (*current_liboctave_error_handler) |
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2225 ("matrix singular to machine precision"); |
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2226 |
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2227 mattype.mark_as_rectangular (); |
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2228 } |
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2229 else |
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2230 { |
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2231 if (calc_cond) |
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2232 { |
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2233 // Now calculate the condition number for |
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2234 // non-singular matrix. |
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2235 char job = '1'; |
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2236 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2237 nc, tmp_data, nr, anorm, |
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2238 rcon, pz, prz, info |
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2239 F77_CHAR_ARG_LEN (1))); |
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2240 |
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2241 if (info != 0) |
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2242 info = -2; |
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|
2243 |
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2244 volatile double rcond_plus_one = rcon + 1.0; |
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2245 |
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2246 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2247 { |
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2248 info = -2; |
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|
2249 |
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2250 if (sing_handler) |
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2251 sing_handler (rcon); |
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|
2252 else |
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|
2253 (*current_liboctave_error_handler) |
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2254 ("matrix singular to machine precision, rcond = %g", |
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|
2255 rcon); |
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|
2256 } |
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|
2257 } |
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|
2258 |
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|
2259 if (info == 0) |
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|
2260 { |
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changeset
|
2261 retval = b; |
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|
2262 Complex *result = retval.fortran_vec (); |
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|
2263 |
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|
2264 octave_idx_type b_nc = b.cols (); |
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|
2265 |
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changeset
|
2266 char job = 'N'; |
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|
2267 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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changeset
|
2268 nr, b_nc, tmp_data, nr, |
14846
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Rik <octave@nomad.inbox5.com>
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14557
diff
changeset
|
2269 pipvt, result, b.rows (), info |
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|
2270 F77_CHAR_ARG_LEN (1))); |
10314
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|
2271 } |
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|
2272 else |
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|
2273 mattype.mark_as_rectangular (); |
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|
2274 } |
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|
2275 } |
5785 | 2276 } |
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|
2277 |
5785 | 2278 return retval; |
2279 } | |
2280 | |
2281 ComplexMatrix | |
2282 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
2283 { | |
2284 octave_idx_type info; | |
7788 | 2285 double rcon; |
2286 return solve (typ, b, info, rcon, 0); | |
5785 | 2287 } |
2288 | |
2289 ComplexMatrix | |
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|
2290 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, |
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|
2291 octave_idx_type& info) const |
5785 | 2292 { |
7788 | 2293 double rcon; |
2294 return solve (typ, b, info, rcon, 0); | |
5785 | 2295 } |
2296 | |
2297 ComplexMatrix | |
2298 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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|
2299 double& rcon) const |
5785 | 2300 { |
7788 | 2301 return solve (typ, b, info, rcon, 0); |
5785 | 2302 } |
2303 | |
2304 ComplexMatrix | |
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2305 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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2306 double& rcon, solve_singularity_handler sing_handler, |
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|
2307 bool singular_fallback, blas_trans_type transt) const |
5785 | 2308 { |
2309 ComplexMatrix tmp (b); | |
9661
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|
2310 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
5785 | 2311 } |
2312 | |
2313 ComplexMatrix | |
2314 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
2315 { | |
2316 octave_idx_type info; | |
7788 | 2317 double rcon; |
2318 return solve (typ, b, info, rcon, 0); | |
5785 | 2319 } |
2320 | |
2321 ComplexMatrix | |
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2322 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
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|
2323 octave_idx_type& info) const |
5785 | 2324 { |
7788 | 2325 double rcon; |
2326 return solve (typ, b, info, rcon, 0); | |
5785 | 2327 } |
2328 | |
2329 ComplexMatrix | |
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2330 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
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|
2331 octave_idx_type& info, double& rcon) const |
5785 | 2332 { |
7788 | 2333 return solve (typ, b, info, rcon, 0); |
5785 | 2334 } |
2335 | |
2336 ComplexMatrix | |
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2337 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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|
2338 octave_idx_type& info, double& rcon, |
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2339 solve_singularity_handler sing_handler, |
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|
2340 bool singular_fallback, blas_trans_type transt) const |
5785 | 2341 { |
2342 ComplexMatrix retval; | |
2343 int typ = mattype.type (); | |
2344 | |
2345 if (typ == MatrixType::Unknown) | |
2346 typ = mattype.type (*this); | |
2347 | |
2348 // Only calculate the condition number for LU/Cholesky | |
2349 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
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|
2350 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
5785 | 2351 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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|
2352 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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|
2353 else if (transt == blas_trans) |
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|
2354 return transpose ().solve (mattype, b, info, rcon, sing_handler, |
49a5a4be04a1
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|
2355 singular_fallback); |
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2356 else if (transt == blas_conj_trans) |
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2357 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, |
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2358 singular_fallback); |
5785 | 2359 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
7788 | 2360 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
5785 | 2361 else if (typ != MatrixType::Rectangular) |
2362 { | |
2363 (*current_liboctave_error_handler) ("unknown matrix type"); | |
2364 return ComplexMatrix (); | |
2365 } | |
2366 | |
2367 // Rectangular or one of the above solvers flags a singular matrix | |
2368 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
2369 { | |
2370 octave_idx_type rank; | |
7788 | 2371 retval = lssolve (b, info, rank, rcon); |
5785 | 2372 } |
2373 | |
2374 return retval; | |
2375 } | |
2376 | |
2377 ComplexColumnVector | |
2378 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
2379 { | |
2380 octave_idx_type info; | |
7788 | 2381 double rcon; |
2382 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2383 } |
2384 | |
2385 ComplexColumnVector | |
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2386 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2387 octave_idx_type& info) const |
5785 | 2388 { |
7788 | 2389 double rcon; |
2390 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2391 } |
2392 | |
2393 ComplexColumnVector | |
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2394 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2395 octave_idx_type& info, double& rcon) const |
5785 | 2396 { |
7788 | 2397 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
5785 | 2398 } |
2399 | |
2400 ComplexColumnVector | |
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2401 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2402 octave_idx_type& info, double& rcon, |
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2403 solve_singularity_handler sing_handler, |
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2404 blas_trans_type transt) const |
5785 | 2405 { |
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2406 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
5785 | 2407 } |
2408 | |
2409 ComplexColumnVector | |
2410 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
2411 { | |
2412 octave_idx_type info; | |
7788 | 2413 double rcon; |
2414 return solve (typ, b, info, rcon, 0); | |
5785 | 2415 } |
2416 | |
2417 ComplexColumnVector | |
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2418 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2419 octave_idx_type& info) const |
5785 | 2420 { |
7788 | 2421 double rcon; |
2422 return solve (typ, b, info, rcon, 0); | |
5785 | 2423 } |
2424 | |
2425 ComplexColumnVector | |
2426 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2427 octave_idx_type& info, double& rcon) const |
5785 | 2428 { |
7788 | 2429 return solve (typ, b, info, rcon, 0); |
5785 | 2430 } |
2431 | |
2432 ComplexColumnVector | |
2433 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2434 octave_idx_type& info, double& rcon, |
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2435 solve_singularity_handler sing_handler, |
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2436 blas_trans_type transt) const |
5785 | 2437 { |
2438 | |
2439 ComplexMatrix tmp (b); | |
10352 | 2440 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
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2441 return tmp.column (static_cast<octave_idx_type> (0)); |
5785 | 2442 } |
2443 | |
2444 ComplexMatrix | |
458 | 2445 ComplexMatrix::solve (const Matrix& 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 Matrix& b, octave_idx_type& info) const |
458 | 2454 { |
7788 | 2455 double rcon; |
2456 return solve (b, info, rcon, 0); | |
458 | 2457 } |
2458 | |
2459 ComplexMatrix | |
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2460 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, |
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2461 double& rcon) const |
458 | 2462 { |
7788 | 2463 return solve (b, info, rcon, 0); |
3480 | 2464 } |
2465 | |
2466 ComplexMatrix | |
7788 | 2467 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2468 solve_singularity_handler sing_handler, |
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2469 blas_trans_type transt) const |
3480 | 2470 { |
458 | 2471 ComplexMatrix tmp (b); |
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2472 return solve (tmp, info, rcon, sing_handler, transt); |
458 | 2473 } |
2474 | |
2475 ComplexMatrix | |
2476 ComplexMatrix::solve (const ComplexMatrix& b) const | |
2477 { | |
5275 | 2478 octave_idx_type info; |
7788 | 2479 double rcon; |
2480 return solve (b, info, rcon, 0); | |
458 | 2481 } |
2482 | |
2483 ComplexMatrix | |
5275 | 2484 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2485 { |
7788 | 2486 double rcon; |
2487 return solve (b, info, rcon, 0); | |
458 | 2488 } |
3480 | 2489 |
458 | 2490 ComplexMatrix |
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2491 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2492 double& rcon) const |
458 | 2493 { |
7788 | 2494 return solve (b, info, rcon, 0); |
3480 | 2495 } |
2496 | |
2497 ComplexMatrix | |
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2498 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2499 double& rcon, |
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2500 solve_singularity_handler sing_handler, |
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2501 blas_trans_type transt) const |
3480 | 2502 { |
5785 | 2503 MatrixType mattype (*this); |
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2504 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
458 | 2505 } |
2506 | |
2507 ComplexColumnVector | |
3585 | 2508 ComplexMatrix::solve (const ColumnVector& b) const |
2509 { | |
5275 | 2510 octave_idx_type info; |
7788 | 2511 double rcon; |
2512 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2513 } |
2514 | |
2515 ComplexColumnVector | |
5275 | 2516 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2517 { |
7788 | 2518 double rcon; |
2519 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2520 } |
2521 | |
2522 ComplexColumnVector | |
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2523 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2524 double& rcon) const |
3585 | 2525 { |
7788 | 2526 return solve (ComplexColumnVector (b), info, rcon, 0); |
3585 | 2527 } |
2528 | |
2529 ComplexColumnVector | |
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2530 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2531 double& rcon, |
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2532 solve_singularity_handler sing_handler, |
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2533 blas_trans_type transt) const |
3585 | 2534 { |
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2535 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
3585 | 2536 } |
2537 | |
2538 ComplexColumnVector | |
458 | 2539 ComplexMatrix::solve (const ComplexColumnVector& b) const |
2540 { | |
5275 | 2541 octave_idx_type info; |
7788 | 2542 double rcon; |
2543 return solve (b, info, rcon, 0); | |
458 | 2544 } |
2545 | |
2546 ComplexColumnVector | |
5275 | 2547 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2548 { |
7788 | 2549 double rcon; |
2550 return solve (b, info, rcon, 0); | |
458 | 2551 } |
2552 | |
2553 ComplexColumnVector | |
5275 | 2554 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2555 double& rcon) const |
458 | 2556 { |
7788 | 2557 return solve (b, info, rcon, 0); |
3480 | 2558 } |
2559 | |
2560 ComplexColumnVector | |
5275 | 2561 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2562 double& rcon, |
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2563 solve_singularity_handler sing_handler, |
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2564 blas_trans_type transt) const |
3480 | 2565 { |
5785 | 2566 MatrixType mattype (*this); |
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2567 return solve (mattype, b, info, rcon, sing_handler, transt); |
458 | 2568 } |
2569 | |
2570 ComplexMatrix | |
3585 | 2571 ComplexMatrix::lssolve (const Matrix& b) const |
2572 { | |
5275 | 2573 octave_idx_type info; |
2574 octave_idx_type rank; | |
7788 | 2575 double rcon; |
2576 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2577 } |
2578 | |
2579 ComplexMatrix | |
5275 | 2580 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
3585 | 2581 { |
5275 | 2582 octave_idx_type rank; |
7788 | 2583 double rcon; |
2584 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2585 } |
2586 | |
2587 ComplexMatrix | |
7076 | 2588 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
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2589 octave_idx_type& rank) const |
3585 | 2590 { |
7788 | 2591 double rcon; |
2592 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
7076 | 2593 } |
2594 | |
2595 ComplexMatrix | |
2596 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2597 octave_idx_type& rank, double& rcon) const |
7076 | 2598 { |
7788 | 2599 return lssolve (ComplexMatrix (b), info, rank, rcon); |
3585 | 2600 } |
2601 | |
2602 ComplexMatrix | |
458 | 2603 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
2604 { | |
5275 | 2605 octave_idx_type info; |
2606 octave_idx_type rank; | |
7788 | 2607 double rcon; |
2608 return lssolve (b, info, rank, rcon); | |
458 | 2609 } |
2610 | |
2611 ComplexMatrix | |
5275 | 2612 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2613 { |
5275 | 2614 octave_idx_type rank; |
7788 | 2615 double rcon; |
2616 return lssolve (b, info, rank, rcon); | |
458 | 2617 } |
2618 | |
2619 ComplexMatrix | |
7076 | 2620 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2621 octave_idx_type& rank) const |
7076 | 2622 { |
7788 | 2623 double rcon; |
2624 return lssolve (b, info, rank, rcon); | |
7076 | 2625 } |
2626 | |
2627 ComplexMatrix | |
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2628 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2629 octave_idx_type& rank, double& rcon) const |
458 | 2630 { |
1948 | 2631 ComplexMatrix retval; |
2632 | |
5275 | 2633 octave_idx_type nrhs = b.cols (); |
2634 | |
2635 octave_idx_type m = rows (); | |
2636 octave_idx_type n = cols (); | |
458 | 2637 |
6924 | 2638 if (m != b.rows ()) |
1948 | 2639 (*current_liboctave_error_handler) |
2640 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2641 else if (m== 0 || n == 0 || b.cols () == 0) |
2642 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
1948 | 2643 else |
458 | 2644 { |
7072 | 2645 volatile octave_idx_type minmn = (m < n ? m : n); |
2646 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2647 rcon = -1.0; |
7072 | 2648 |
2649 if (m != n) | |
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2650 { |
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2651 retval = ComplexMatrix (maxmn, nrhs); |
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2652 |
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2653 for (octave_idx_type j = 0; j < nrhs; j++) |
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2654 for (octave_idx_type i = 0; i < m; i++) |
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2655 retval.elem (i, j) = b.elem (i, j); |
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2656 } |
7072 | 2657 else |
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2658 retval = b; |
7072 | 2659 |
1948 | 2660 ComplexMatrix atmp = *this; |
2661 Complex *tmp_data = atmp.fortran_vec (); | |
2662 | |
7072 | 2663 Complex *pretval = retval.fortran_vec (); |
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2664 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2665 double *ps = s.fortran_vec (); |
2563 | 2666 |
7072 | 2667 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2668 octave_idx_type lwork = -1; |
3752 | 2669 |
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2670 Array<Complex> work (dim_vector (1, 1)); |
7079 | 2671 |
7477 | 2672 octave_idx_type smlsiz; |
2673 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
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2674 F77_CONST_CHAR_ARG2 (" ", 1), |
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2675 0, 0, 0, 0, smlsiz |
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2676 F77_CHAR_ARG_LEN (6) |
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2677 F77_CHAR_ARG_LEN (1)); |
7079 | 2678 |
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2679 octave_idx_type mnthr; |
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2680 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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changeset
|
2681 F77_CONST_CHAR_ARG2 (" ", 1), |
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2682 m, n, nrhs, -1, mnthr |
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2683 F77_CHAR_ARG_LEN (6) |
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|
2684 F77_CHAR_ARG_LEN (1)); |
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|
2685 |
7079 | 2686 // We compute the size of rwork and iwork because ZGELSD in |
2687 // older versions of LAPACK does not return them on a query | |
2688 // call. | |
7124 | 2689 double dminmn = static_cast<double> (minmn); |
2690 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
18847
ff4da3c8ed16
use gnulib log2 modules (bug #42583)
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changeset
|
2691 double tmp = xlog2 (dminmn / dsmlsizp1); |
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|
2692 |
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2693 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2694 if (nlvl < 0) |
10314
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|
2695 nlvl = 0; |
7079 | 2696 |
2697 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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|
2698 + 3*smlsiz*nrhs |
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|
2699 + std::max ((smlsiz+1)*(smlsiz+1), |
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changeset
|
2700 n*(1+nrhs) + 2*nrhs); |
7079 | 2701 if (lrwork < 1) |
10314
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2702 lrwork = 1; |
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attempt better backward compatibility for Array constructors
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changeset
|
2703 Array<double> rwork (dim_vector (lrwork, 1)); |
7079 | 2704 double *prwork = rwork.fortran_vec (); |
2705 | |
2706 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2707 if (liwork < 1) | |
10314
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|
2708 liwork = 1; |
11570
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diff
changeset
|
2709 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7079 | 2710 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2711 |
2712 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
10314
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changeset
|
2713 ps, rcon, rank, work.fortran_vec (), |
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changeset
|
2714 lwork, prwork, piwork, info)); |
1948 | 2715 |
7476 | 2716 // The workspace query is broken in at least LAPACK 3.0.0 |
7488
6470f946a425
another small xGELSD workspace fix
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changeset
|
2717 // through 3.1.1 when n >= mnthr. The obtuse formula below |
7486
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more xGELSD workspace fixes
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diff
changeset
|
2718 // should provide sufficient workspace for ZGELSD to operate |
7476 | 2719 // efficiently. |
10813
2c2d4a2f1047
fix workspace bug workaround for xGELSD (since 7486:6a6d2abe51ff)
Jaroslav Hajek <highegg@gmail.com>
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changeset
|
2720 if (n > m && n >= mnthr) |
10314
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|
2721 { |
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|
2722 octave_idx_type addend = m; |
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|
2723 |
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|
2724 if (2*m-4 > addend) |
07ebe522dac2
untabify liboctave C++ sources
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|
2725 addend = 2*m-4; |
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|
2726 |
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changeset
|
2727 if (nrhs > addend) |
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untabify liboctave C++ sources
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changeset
|
2728 addend = nrhs; |
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changeset
|
2729 |
07ebe522dac2
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|
2730 if (n-3*m > addend) |
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untabify liboctave C++ sources
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|
2731 addend = n-3*m; |
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untabify liboctave C++ sources
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|
2732 |
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untabify liboctave C++ sources
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changeset
|
2733 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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|
2734 |
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changeset
|
2735 if (std::real (work(0)) < lworkaround) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2736 work(0) = lworkaround; |
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changeset
|
2737 } |
7532
493bb0de3199
avoid another xGELSD workspace query bug
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diff
changeset
|
2738 else if (m >= n) |
10314
07ebe522dac2
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diff
changeset
|
2739 { |
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changeset
|
2740 octave_idx_type lworkaround = 2*m + m*nrhs; |
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changeset
|
2741 |
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changeset
|
2742 if (std::real (work(0)) < lworkaround) |
07ebe522dac2
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|
2743 work(0) = lworkaround; |
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changeset
|
2744 } |
7476 | 2745 |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
2746 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
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diff
changeset
|
2747 work.resize (dim_vector (lwork, 1)); |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
2748 |
29980c6b8604
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diff
changeset
|
2749 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
10314
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changeset
|
2750 maxmn, ps, rcon, rank, |
11586
12df7854fa7c
strip trailing whitespace from source files
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changeset
|
2751 work.fortran_vec (), lwork, |
10314
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untabify liboctave C++ sources
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changeset
|
2752 prwork, piwork, info)); |
7482
29980c6b8604
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diff
changeset
|
2753 |
29980c6b8604
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|
2754 if (s.elem (0) == 0.0) |
10314
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|
2755 rcon = 0.0; |
1948 | 2756 else |
10314
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|
2757 rcon = s.elem (minmn - 1) / s.elem (0); |
7482
29980c6b8604
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changeset
|
2758 |
29980c6b8604
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changeset
|
2759 retval.resize (n, nrhs); |
458 | 2760 } |
2761 | |
2762 return retval; | |
2763 } | |
2764 | |
2765 ComplexColumnVector | |
3585 | 2766 ComplexMatrix::lssolve (const ColumnVector& b) const |
2767 { | |
5275 | 2768 octave_idx_type info; |
2769 octave_idx_type rank; | |
7788 | 2770 double rcon; |
2771 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2772 } |
2773 | |
2774 ComplexColumnVector | |
5275 | 2775 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2776 { |
5275 | 2777 octave_idx_type rank; |
7788 | 2778 double rcon; |
2779 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2780 } |
2781 | |
2782 ComplexColumnVector | |
11586
12df7854fa7c
strip trailing whitespace from source files
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changeset
|
2783 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
10314
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untabify liboctave C++ sources
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changeset
|
2784 octave_idx_type& rank) const |
3585 | 2785 { |
7788 | 2786 double rcon; |
2787 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
7076 | 2788 } |
2789 | |
2790 ComplexColumnVector | |
11586
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strip trailing whitespace from source files
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changeset
|
2791 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
10314
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|
2792 octave_idx_type& rank, double& rcon) const |
7076 | 2793 { |
7788 | 2794 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
3585 | 2795 } |
2796 | |
2797 ComplexColumnVector | |
458 | 2798 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
2799 { | |
5275 | 2800 octave_idx_type info; |
2801 octave_idx_type rank; | |
7788 | 2802 double rcon; |
2803 return lssolve (b, info, rank, rcon); | |
458 | 2804 } |
2805 | |
2806 ComplexColumnVector | |
17769
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Rik <rik@octave.org>
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|
2807 ComplexMatrix::lssolve (const ComplexColumnVector& b, |
49a5a4be04a1
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|
2808 octave_idx_type& info) const |
458 | 2809 { |
5275 | 2810 octave_idx_type rank; |
7788 | 2811 double rcon; |
2812 return lssolve (b, info, rank, rcon); | |
458 | 2813 } |
2814 | |
2815 ComplexColumnVector | |
5275 | 2816 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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changeset
|
2817 octave_idx_type& rank) const |
458 | 2818 { |
7788 | 2819 double rcon; |
2820 return lssolve (b, info, rank, rcon); | |
7076 | 2821 |
2822 } | |
2823 | |
2824 ComplexColumnVector | |
2825 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
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|
2826 octave_idx_type& rank, double& rcon) const |
7076 | 2827 { |
1948 | 2828 ComplexColumnVector retval; |
2829 | |
5275 | 2830 octave_idx_type nrhs = 1; |
2831 | |
2832 octave_idx_type m = rows (); | |
2833 octave_idx_type n = cols (); | |
458 | 2834 |
6924 | 2835 if (m != b.length ()) |
1948 | 2836 (*current_liboctave_error_handler) |
6924 | 2837 ("matrix dimension mismatch solution of linear equations"); |
2838 else if (m == 0 || n == 0 || b.cols () == 0) | |
2839 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
1948 | 2840 else |
458 | 2841 { |
7072 | 2842 volatile octave_idx_type minmn = (m < n ? m : n); |
2843 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2844 rcon = -1.0; |
7072 | 2845 |
2846 if (m != n) | |
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|
2847 { |
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changeset
|
2848 retval = ComplexColumnVector (maxmn); |
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|
2849 |
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|
2850 for (octave_idx_type i = 0; i < m; i++) |
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changeset
|
2851 retval.elem (i) = b.elem (i); |
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changeset
|
2852 } |
7072 | 2853 else |
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changeset
|
2854 retval = b; |
7072 | 2855 |
1948 | 2856 ComplexMatrix atmp = *this; |
2857 Complex *tmp_data = atmp.fortran_vec (); | |
2858 | |
7072 | 2859 Complex *pretval = retval.fortran_vec (); |
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attempt better backward compatibility for Array constructors
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|
2860 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2861 double *ps = s.fortran_vec (); |
1948 | 2862 |
7072 | 2863 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2864 octave_idx_type lwork = -1; |
3752 | 2865 |
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changeset
|
2866 Array<Complex> work (dim_vector (1, 1)); |
7079 | 2867 |
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|
2868 octave_idx_type smlsiz; |
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changeset
|
2869 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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|
2870 F77_CONST_CHAR_ARG2 (" ", 1), |
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|
2871 0, 0, 0, 0, smlsiz |
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|
2872 F77_CHAR_ARG_LEN (6) |
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changeset
|
2873 F77_CHAR_ARG_LEN (1)); |
7079 | 2874 |
2875 // We compute the size of rwork and iwork because ZGELSD in | |
2876 // older versions of LAPACK does not return them on a query | |
2877 // call. | |
7124 | 2878 double dminmn = static_cast<double> (minmn); |
2879 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
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|
2880 double tmp = xlog2 (dminmn / dsmlsizp1); |
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|
2881 |
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changeset
|
2882 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2883 if (nlvl < 0) |
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changeset
|
2884 nlvl = 0; |
7079 | 2885 |
2886 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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changeset
|
2887 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
7079 | 2888 if (lrwork < 1) |
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|
2889 lrwork = 1; |
11570
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changeset
|
2890 Array<double> rwork (dim_vector (lrwork, 1)); |
7079 | 2891 double *prwork = rwork.fortran_vec (); |
2892 | |
2893 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2894 if (liwork < 1) | |
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2895 liwork = 1; |
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2896 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7079 | 2897 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2898 |
2899 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2900 ps, rcon, rank, work.fortran_vec (), |
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2901 lwork, prwork, piwork, info)); |
1948 | 2902 |
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2903 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2904 work.resize (dim_vector (lwork, 1)); |
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2905 rwork.resize (dim_vector (static_cast<octave_idx_type> (rwork(0)), 1)); |
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2906 iwork.resize (dim_vector (iwork(0), 1)); |
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2907 |
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2908 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2909 maxmn, ps, rcon, rank, |
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2910 work.fortran_vec (), lwork, |
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2911 prwork, piwork, info)); |
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2912 |
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2913 if (rank < minmn) |
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2914 { |
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2915 if (s.elem (0) == 0.0) |
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2916 rcon = 0.0; |
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2917 else |
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2918 rcon = s.elem (minmn - 1) / s.elem (0); |
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2919 |
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2920 retval.resize (n, nrhs); |
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2921 } |
458 | 2922 } |
2923 | |
2924 return retval; | |
2925 } | |
2926 | |
1205 | 2927 // column vector by row vector -> matrix operations |
2928 | |
2929 ComplexMatrix | |
2930 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
2931 { | |
2932 ComplexColumnVector tmp (v); | |
2933 return tmp * a; | |
2934 } | |
2935 | |
2936 ComplexMatrix | |
2937 operator * (const ComplexColumnVector& a, const RowVector& b) | |
2938 { | |
2939 ComplexRowVector tmp (b); | |
2940 return a * tmp; | |
2941 } | |
2942 | |
2943 ComplexMatrix | |
2944 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
2945 { | |
1948 | 2946 ComplexMatrix retval; |
2947 | |
5275 | 2948 octave_idx_type len = v.length (); |
3233 | 2949 |
2950 if (len != 0) | |
1205 | 2951 { |
5275 | 2952 octave_idx_type a_len = a.length (); |
3233 | 2953 |
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2954 retval = ComplexMatrix (len, a_len); |
3233 | 2955 Complex *c = retval.fortran_vec (); |
2956 | |
4552 | 2957 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
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2958 F77_CONST_CHAR_ARG2 ("N", 1), |
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2959 len, a_len, 1, 1.0, v.data (), len, |
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2960 a.data (), 1, 0.0, c, len |
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2961 F77_CHAR_ARG_LEN (1) |
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2962 F77_CHAR_ARG_LEN (1))); |
1205 | 2963 } |
2964 | |
1948 | 2965 return retval; |
1205 | 2966 } |
2967 | |
458 | 2968 // matrix by diagonal matrix -> matrix operations |
2969 | |
2970 ComplexMatrix& | |
2971 ComplexMatrix::operator += (const DiagMatrix& a) | |
2972 { | |
5275 | 2973 octave_idx_type nr = rows (); |
2974 octave_idx_type nc = cols (); | |
2975 | |
2976 octave_idx_type a_nr = rows (); | |
2977 octave_idx_type a_nc = cols (); | |
2384 | 2978 |
2979 if (nr != a_nr || nc != a_nc) | |
458 | 2980 { |
2384 | 2981 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2982 return *this; |
458 | 2983 } |
2984 | |
5275 | 2985 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2986 elem (i, i) += a.elem (i, i); |
2987 | |
2988 return *this; | |
2989 } | |
2990 | |
2991 ComplexMatrix& | |
2992 ComplexMatrix::operator -= (const DiagMatrix& a) | |
2993 { | |
5275 | 2994 octave_idx_type nr = rows (); |
2995 octave_idx_type nc = cols (); | |
2996 | |
2997 octave_idx_type a_nr = rows (); | |
2998 octave_idx_type a_nc = cols (); | |
2384 | 2999 |
3000 if (nr != a_nr || nc != a_nc) | |
458 | 3001 { |
2384 | 3002 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3003 return *this; |
458 | 3004 } |
3005 | |
5275 | 3006 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3007 elem (i, i) -= a.elem (i, i); |
3008 | |
3009 return *this; | |
3010 } | |
3011 | |
3012 ComplexMatrix& | |
3013 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
3014 { | |
5275 | 3015 octave_idx_type nr = rows (); |
3016 octave_idx_type nc = cols (); | |
3017 | |
3018 octave_idx_type a_nr = rows (); | |
3019 octave_idx_type a_nc = cols (); | |
2384 | 3020 |
3021 if (nr != a_nr || nc != a_nc) | |
458 | 3022 { |
2384 | 3023 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 3024 return *this; |
458 | 3025 } |
3026 | |
5275 | 3027 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3028 elem (i, i) += a.elem (i, i); |
3029 | |
3030 return *this; | |
3031 } | |
3032 | |
3033 ComplexMatrix& | |
3034 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
3035 { | |
5275 | 3036 octave_idx_type nr = rows (); |
3037 octave_idx_type nc = cols (); | |
3038 | |
3039 octave_idx_type a_nr = rows (); | |
3040 octave_idx_type a_nc = cols (); | |
2384 | 3041 |
3042 if (nr != a_nr || nc != a_nc) | |
458 | 3043 { |
2384 | 3044 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3045 return *this; |
458 | 3046 } |
3047 | |
5275 | 3048 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3049 elem (i, i) -= a.elem (i, i); |
3050 | |
3051 return *this; | |
3052 } | |
3053 | |
3054 // matrix by matrix -> matrix operations | |
3055 | |
3056 ComplexMatrix& | |
3057 ComplexMatrix::operator += (const Matrix& a) | |
3058 { | |
5275 | 3059 octave_idx_type nr = rows (); |
3060 octave_idx_type nc = cols (); | |
3061 | |
3062 octave_idx_type a_nr = a.rows (); | |
3063 octave_idx_type a_nc = a.cols (); | |
2384 | 3064 |
3065 if (nr != a_nr || nc != a_nc) | |
458 | 3066 { |
2384 | 3067 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
458 | 3068 return *this; |
3069 } | |
3070 | |
3071 if (nr == 0 || nc == 0) | |
3072 return *this; | |
3073 | |
3074 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3075 | |
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3076 mx_inline_add2 (length (), d, a.data ()); |
458 | 3077 return *this; |
3078 } | |
3079 | |
3080 ComplexMatrix& | |
3081 ComplexMatrix::operator -= (const Matrix& a) | |
3082 { | |
5275 | 3083 octave_idx_type nr = rows (); |
3084 octave_idx_type nc = cols (); | |
3085 | |
3086 octave_idx_type a_nr = a.rows (); | |
3087 octave_idx_type a_nc = a.cols (); | |
2384 | 3088 |
3089 if (nr != a_nr || nc != a_nc) | |
458 | 3090 { |
2384 | 3091 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
458 | 3092 return *this; |
3093 } | |
3094 | |
3095 if (nr == 0 || nc == 0) | |
3096 return *this; | |
3097 | |
3098 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3099 | |
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3100 mx_inline_sub2 (length (), d, a.data ()); |
458 | 3101 return *this; |
3102 } | |
3103 | |
3104 // unary operations | |
3105 | |
2964 | 3106 boolMatrix |
458 | 3107 ComplexMatrix::operator ! (void) const |
3108 { | |
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3109 if (any_element_is_nan ()) |
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3110 gripe_nan_to_logical_conversion (); |
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3111 |
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3112 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
458 | 3113 } |
3114 | |
3115 // other operations | |
3116 | |
2384 | 3117 bool |
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3118 ComplexMatrix::any_element_is_nan (void) const |
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3119 { |
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3120 return do_mx_check<Complex> (*this, mx_inline_any_nan); |
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3121 } |
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3122 |
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3123 bool |
2384 | 3124 ComplexMatrix::any_element_is_inf_or_nan (void) const |
3125 { | |
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3126 return ! do_mx_check<Complex> (*this, mx_inline_all_finite); |
2384 | 3127 } |
3128 | |
2408 | 3129 // Return true if no elements have imaginary components. |
3130 | |
3131 bool | |
3132 ComplexMatrix::all_elements_are_real (void) const | |
3133 { | |
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3134 return do_mx_check<Complex> (*this, mx_inline_all_real); |
2408 | 3135 } |
3136 | |
1968 | 3137 // Return nonzero if any element of CM has a non-integer real or |
3138 // imaginary part. Also extract the largest and smallest (real or | |
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3139 // imaginary) values and return them in MAX_VAL and MIN_VAL. |
1968 | 3140 |
2384 | 3141 bool |
1968 | 3142 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
3143 { | |
5275 | 3144 octave_idx_type nr = rows (); |
3145 octave_idx_type nc = cols (); | |
1968 | 3146 |
3147 if (nr > 0 && nc > 0) | |
3148 { | |
3149 Complex val = elem (0, 0); | |
3150 | |
5315 | 3151 double r_val = std::real (val); |
3152 double i_val = std::imag (val); | |
1968 | 3153 |
3154 max_val = r_val; | |
3155 min_val = r_val; | |
3156 | |
3157 if (i_val > max_val) | |
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3158 max_val = i_val; |
1968 | 3159 |
3160 if (i_val < max_val) | |
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3161 min_val = i_val; |
1968 | 3162 } |
3163 else | |
2384 | 3164 return false; |
1968 | 3165 |
5275 | 3166 for (octave_idx_type j = 0; j < nc; j++) |
3167 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3168 { |
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3169 Complex val = elem (i, j); |
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|
3170 |
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3171 double r_val = std::real (val); |
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3172 double i_val = std::imag (val); |
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3173 |
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3174 if (r_val > max_val) |
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3175 max_val = r_val; |
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3176 |
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3177 if (i_val > max_val) |
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3178 max_val = i_val; |
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3179 |
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3180 if (r_val < min_val) |
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3181 min_val = r_val; |
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3182 |
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3183 if (i_val < min_val) |
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3184 min_val = i_val; |
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3185 |
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3186 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
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3187 return false; |
1968 | 3188 } |
2384 | 3189 |
3190 return true; | |
1968 | 3191 } |
3192 | |
2384 | 3193 bool |
1968 | 3194 ComplexMatrix::too_large_for_float (void) const |
3195 { | |
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3196 return test_any (xtoo_large_for_float); |
1968 | 3197 } |
3198 | |
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|
3199 // FIXME: Do these really belong here? Maybe they should be in a base class? |
4015 | 3200 |
2832 | 3201 boolMatrix |
4015 | 3202 ComplexMatrix::all (int dim) const |
458 | 3203 { |
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3204 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
458 | 3205 } |
3206 | |
2832 | 3207 boolMatrix |
4015 | 3208 ComplexMatrix::any (int dim) const |
458 | 3209 { |
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3210 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
458 | 3211 } |
3212 | |
3213 ComplexMatrix | |
3723 | 3214 ComplexMatrix::cumprod (int dim) const |
458 | 3215 { |
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diff
changeset
|
3216 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
458 | 3217 } |
3218 | |
3219 ComplexMatrix | |
3723 | 3220 ComplexMatrix::cumsum (int dim) const |
458 | 3221 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3222 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum); |
458 | 3223 } |
3224 | |
3225 ComplexMatrix | |
3723 | 3226 ComplexMatrix::prod (int dim) const |
458 | 3227 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3228 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
458 | 3229 } |
3230 | |
3231 ComplexMatrix | |
3723 | 3232 ComplexMatrix::sum (int dim) const |
458 | 3233 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3234 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum); |
458 | 3235 } |
3236 | |
3237 ComplexMatrix | |
3723 | 3238 ComplexMatrix::sumsq (int dim) const |
458 | 3239 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3240 return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq); |
458 | 3241 } |
3242 | |
4329 | 3243 Matrix ComplexMatrix::abs (void) const |
3244 { | |
10363
a0728e81ed25
improve diag matrix interface & implementation
Jaroslav Hajek <highegg@gmail.com>
parents:
10362
diff
changeset
|
3245 return do_mx_unary_map<double, Complex, std::abs> (*this); |
4329 | 3246 } |
3247 | |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3248 ComplexMatrix |
5275 | 3249 ComplexMatrix::diag (octave_idx_type k) const |
458 | 3250 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3251 return MArray<Complex>::diag (k); |
458 | 3252 } |
3253 | |
14557
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3254 ComplexDiagMatrix |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3255 ComplexMatrix::diag (octave_idx_type m, octave_idx_type n) const |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3256 { |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3257 ComplexDiagMatrix retval; |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3258 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3259 octave_idx_type nr = rows (); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3260 octave_idx_type nc = cols (); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3261 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3262 if (nr == 1 || nc == 1) |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3263 retval = ComplexDiagMatrix (*this, m, n); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3264 else |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3265 (*current_liboctave_error_handler) |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3266 ("diag: expecting vector argument"); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3267 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3268 return retval; |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3269 } |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3270 |
2354 | 3271 bool |
5275 | 3272 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
2354 | 3273 { |
3274 bool retval = true; | |
3275 | |
5275 | 3276 octave_idx_type nc = columns (); |
3277 | |
3278 for (octave_idx_type j = 0; j < nc; j++) | |
2354 | 3279 { |
5315 | 3280 if (std::imag (elem (i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3281 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3282 retval = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3283 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3284 } |
2354 | 3285 } |
3286 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3287 return retval; |
2354 | 3288 } |
3289 | |
3290 bool | |
5275 | 3291 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
2354 | 3292 { |
3293 bool retval = true; | |
3294 | |
5275 | 3295 octave_idx_type nr = rows (); |
3296 | |
3297 for (octave_idx_type i = 0; i < nr; i++) | |
2354 | 3298 { |
5315 | 3299 if (std::imag (elem (i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3300 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3301 retval = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3302 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3303 } |
2354 | 3304 } |
3305 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3306 return retval; |
2354 | 3307 } |
891 | 3308 |
458 | 3309 ComplexColumnVector |
3310 ComplexMatrix::row_min (void) const | |
3311 { | |
5275 | 3312 Array<octave_idx_type> dummy_idx; |
4587 | 3313 return row_min (dummy_idx); |
458 | 3314 } |
3315 | |
3316 ComplexColumnVector | |
5275 | 3317 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
458 | 3318 { |
3319 ComplexColumnVector result; | |
3320 | |
5275 | 3321 octave_idx_type nr = rows (); |
3322 octave_idx_type nc = cols (); | |
458 | 3323 |
3324 if (nr > 0 && nc > 0) | |
3325 { | |
3326 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3327 idx_arg.resize (dim_vector (nr, 1)); |
458 | 3328 |
5275 | 3329 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3330 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3331 bool real_only = row_is_real_only (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3332 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
3333 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3334 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3335 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3336 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3337 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3338 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3339 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3340 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3341 tmp_min = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3342 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3343 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3344 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3345 abs_min = real_only ? std::real (tmp_min) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3346 : std::abs (tmp_min); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3347 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3348 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3349 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3350 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3351 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
|
3352 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3353 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3354 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3355 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3356 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3358 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
|
3359 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3360 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3361 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3362 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3363 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3364 abs_min = abs_tmp; |
07ebe522dac2
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parents:
10213
diff
changeset
|
3365 } |
07ebe522dac2
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parents:
10213
diff
changeset
|
3366 } |
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3367 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3368 if (xisnan (tmp_min)) |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
3369 { |
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changeset
|
3370 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3371 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3372 } |
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3373 else |
07ebe522dac2
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10213
diff
changeset
|
3374 { |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3375 result.elem (i) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3376 idx_arg.elem (i) = idx_j; |
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untabify liboctave C++ sources
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diff
changeset
|
3377 } |
458 | 3378 } |
3379 } | |
3380 | |
3381 return result; | |
3382 } | |
3383 | |
3384 ComplexColumnVector | |
3385 ComplexMatrix::row_max (void) const | |
3386 { | |
5275 | 3387 Array<octave_idx_type> dummy_idx; |
4587 | 3388 return row_max (dummy_idx); |
458 | 3389 } |
3390 | |
3391 ComplexColumnVector | |
5275 | 3392 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
458 | 3393 { |
3394 ComplexColumnVector result; | |
3395 | |
5275 | 3396 octave_idx_type nr = rows (); |
3397 octave_idx_type nc = cols (); | |
458 | 3398 |
3399 if (nr > 0 && nc > 0) | |
3400 { | |
3401 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
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11570
diff
changeset
|
3402 idx_arg.resize (dim_vector (nr, 1)); |
458 | 3403 |
5275 | 3404 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3405 { |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3406 bool real_only = row_is_real_only (i); |
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changeset
|
3407 |
07ebe522dac2
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diff
changeset
|
3408 octave_idx_type idx_j; |
07ebe522dac2
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changeset
|
3409 |
07ebe522dac2
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diff
changeset
|
3410 Complex tmp_max; |
07ebe522dac2
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changeset
|
3411 |
07ebe522dac2
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changeset
|
3412 double abs_max = octave_NaN; |
07ebe522dac2
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|
3413 |
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changeset
|
3414 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
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|
3415 { |
07ebe522dac2
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changeset
|
3416 tmp_max = elem (i, idx_j); |
07ebe522dac2
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changeset
|
3417 |
07ebe522dac2
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changeset
|
3418 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3419 { |
17769
49a5a4be04a1
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Rik <rik@octave.org>
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17744
diff
changeset
|
3420 abs_max = real_only ? std::real (tmp_max) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3421 : std::abs (tmp_max); |
10314
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3422 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3423 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3424 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3425 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3426 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
|
3427 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3428 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3429 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3430 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3431 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3432 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3433 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
|
3434 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3435 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3436 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3437 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3438 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3439 abs_max = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3440 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3441 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3442 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3443 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3444 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3445 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3446 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3447 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3448 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3449 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3450 result.elem (i) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3451 idx_arg.elem (i) = idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3452 } |
458 | 3453 } |
3454 } | |
3455 | |
3456 return result; | |
3457 } | |
3458 | |
3459 ComplexRowVector | |
3460 ComplexMatrix::column_min (void) const | |
3461 { | |
5275 | 3462 Array<octave_idx_type> dummy_idx; |
4587 | 3463 return column_min (dummy_idx); |
458 | 3464 } |
3465 | |
3466 ComplexRowVector | |
5275 | 3467 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
458 | 3468 { |
3469 ComplexRowVector result; | |
3470 | |
5275 | 3471 octave_idx_type nr = rows (); |
3472 octave_idx_type nc = cols (); | |
458 | 3473 |
3474 if (nr > 0 && nc > 0) | |
3475 { | |
3476 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3477 idx_arg.resize (dim_vector (1, nc)); |
458 | 3478 |
5275 | 3479 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3480 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3481 bool real_only = column_is_real_only (j); |
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 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3484 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3485 Complex tmp_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 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3488 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3489 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3490 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3491 tmp_min = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3492 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3493 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3494 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3495 abs_min = real_only ? std::real (tmp_min) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3496 : std::abs (tmp_min); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3497 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3498 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3499 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3500 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3501 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
|
3502 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3503 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3504 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3505 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3506 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3507 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3508 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
|
3509 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3510 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3511 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3512 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3513 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3514 abs_min = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3515 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3516 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3517 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3518 if (xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3519 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3520 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3521 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3522 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3523 else |
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 result.elem (j) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3526 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3527 } |
458 | 3528 } |
3529 } | |
3530 | |
3531 return result; | |
3532 } | |
3533 | |
3534 ComplexRowVector | |
3535 ComplexMatrix::column_max (void) const | |
3536 { | |
5275 | 3537 Array<octave_idx_type> dummy_idx; |
4587 | 3538 return column_max (dummy_idx); |
458 | 3539 } |
3540 | |
3541 ComplexRowVector | |
5275 | 3542 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
458 | 3543 { |
3544 ComplexRowVector result; | |
3545 | |
5275 | 3546 octave_idx_type nr = rows (); |
3547 octave_idx_type nc = cols (); | |
458 | 3548 |
3549 if (nr > 0 && nc > 0) | |
3550 { | |
3551 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3552 idx_arg.resize (dim_vector (1, nc)); |
458 | 3553 |
5275 | 3554 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3555 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3556 bool real_only = column_is_real_only (j); |
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 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3559 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3560 Complex tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3561 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3562 double abs_max = octave_NaN; |
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 for (idx_i = 0; idx_i < nr; idx_i++) |
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 tmp_max = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3567 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3568 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3569 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3570 abs_max = real_only ? std::real (tmp_max) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3571 : std::abs (tmp_max); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3572 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3573 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3574 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3575 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3576 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
|
3577 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3578 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3579 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3580 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3581 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3582 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3583 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
|
3584 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3585 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3586 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3587 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3588 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3589 abs_max = abs_tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3590 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3591 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3592 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3593 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3594 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3595 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3596 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3597 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3598 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3599 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3600 result.elem (j) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3601 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3602 } |
458 | 3603 } |
3604 } | |
3605 | |
3606 return result; | |
3607 } | |
3608 | |
3609 // i/o | |
3610 | |
3504 | 3611 std::ostream& |
3612 operator << (std::ostream& os, const ComplexMatrix& a) | |
458 | 3613 { |
5275 | 3614 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 3615 { |
5275 | 3616 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
|
3617 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3618 os << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3619 octave_write_complex (os, a.elem (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3620 } |
458 | 3621 os << "\n"; |
3622 } | |
3623 return os; | |
3624 } | |
3625 | |
3504 | 3626 std::istream& |
3627 operator >> (std::istream& is, ComplexMatrix& a) | |
458 | 3628 { |
5275 | 3629 octave_idx_type nr = a.rows (); |
3630 octave_idx_type nc = a.cols (); | |
458 | 3631 |
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3632 if (nr > 0 && nc > 0) |
458 | 3633 { |
3634 Complex tmp; | |
5275 | 3635 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
|
3636 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3637 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3638 tmp = octave_read_value<Complex> (is); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3639 if (is) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3640 a.elem (i, j) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3641 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3642 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3643 } |
458 | 3644 } |
3645 | |
2993 | 3646 done: |
3647 | |
458 | 3648 return is; |
3649 } | |
3650 | |
1819 | 3651 ComplexMatrix |
3652 Givens (const Complex& x, const Complex& y) | |
3653 { | |
3654 double cc; | |
3655 Complex cs, temp_r; | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3656 |
3887 | 3657 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
1819 | 3658 |
3659 ComplexMatrix g (2, 2); | |
3660 | |
3661 g.elem (0, 0) = cc; | |
3662 g.elem (1, 1) = cc; | |
3663 g.elem (0, 1) = cs; | |
3664 g.elem (1, 0) = -conj (cs); | |
3665 | |
3666 return g; | |
3667 } | |
3668 | |
3669 ComplexMatrix | |
3670 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3671 const ComplexMatrix& c) |
1819 | 3672 { |
3673 ComplexMatrix retval; | |
3674 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3675 // FIXME: need to check that a, b, and c are all the same size. |
1819 | 3676 |
3677 // Compute Schur decompositions | |
3678 | |
3679 ComplexSCHUR as (a, "U"); | |
3680 ComplexSCHUR bs (b, "U"); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3681 |
1819 | 3682 // Transform c to new coordinates. |
3683 | |
3684 ComplexMatrix ua = as.unitary_matrix (); | |
3685 ComplexMatrix sch_a = as.schur_matrix (); | |
3686 | |
3687 ComplexMatrix ub = bs.unitary_matrix (); | |
3688 ComplexMatrix sch_b = bs.schur_matrix (); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3689 |
1819 | 3690 ComplexMatrix cx = ua.hermitian () * c * ub; |
3691 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3692 // Solve the sylvester equation, back-transform, and return the solution. |
1819 | 3693 |
5275 | 3694 octave_idx_type a_nr = a.rows (); |
3695 octave_idx_type b_nr = b.rows (); | |
1819 | 3696 |
3697 double scale; | |
5275 | 3698 octave_idx_type info; |
1950 | 3699 |
3700 Complex *pa = sch_a.fortran_vec (); | |
3701 Complex *pb = sch_b.fortran_vec (); | |
3702 Complex *px = cx.fortran_vec (); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3703 |
4552 | 3704 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
|
3705 F77_CONST_CHAR_ARG2 ("N", 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3706 1, a_nr, b_nr, pa, a_nr, pb, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3707 b_nr, px, a_nr, scale, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3708 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3709 F77_CHAR_ARG_LEN (1))); |
1950 | 3710 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3711 // FIXME: check info? |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3712 |
19065
d20c81d3cd21
Deprecate syl, add new function sylvester.
Rik <rik@octave.org>
parents:
18850
diff
changeset
|
3713 retval = ua * cx * ub.hermitian (); |
1819 | 3714 |
3715 return retval; | |
3716 } | |
3717 | |
2828 | 3718 ComplexMatrix |
3719 operator * (const ComplexMatrix& m, const Matrix& a) | |
3720 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3721 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
|
3722 return ComplexMatrix (real (m) * a, imag (m) * a); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3723 else |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3724 return m * ComplexMatrix (a); |
2828 | 3725 } |
3726 | |
3727 ComplexMatrix | |
3728 operator * (const Matrix& m, const ComplexMatrix& a) | |
3729 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3730 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
|
3731 return ComplexMatrix (m * real (a), m * imag (a)); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3732 else |
11352
5ea2644b0111
fix cut and paste error in Matrix by ComplexMatrix multiplication operator
John W. Eaton <jwe@octave.org>
parents:
11130
diff
changeset
|
3733 return ComplexMatrix (m) * a; |
2828 | 3734 } |
3735 | |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3736 /* |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3737 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3738 ## Simple Dot Product, Matrix-Vector, and Matrix-Matrix Unit tests |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3739 %!assert ([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3740 %!assert ([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3741 %!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) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3742 %!assert ([1 i]*[i 0]', -i); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3743 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3744 ## Test some simple identities |
6162 | 3745 %!shared M, cv, rv |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3746 %! M = randn (10,10) + i*rand (10,10); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3747 %! cv = randn (10,1) + i*rand (10,1); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3748 %! rv = randn (1,10) + i*rand (1,10); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3749 %!assert ([M*cv,M*cv], M*[cv,cv], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3750 %!assert ([M.'*cv,M.'*cv], M.'*[cv,cv], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3751 %!assert ([M'*cv,M'*cv], M'*[cv,cv], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3752 %!assert ([rv*M;rv*M], [rv;rv]*M, 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3753 %!assert ([rv*M.';rv*M.'], [rv;rv]*M.', 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3754 %!assert ([rv*M';rv*M'], [rv;rv]*M', 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3755 %!assert (2*rv*cv, [rv,rv]*[cv;cv], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3756 |
6162 | 3757 */ |
3758 | |
11516 | 3759 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
|
3760 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
|
3761 { |
11516 | 3762 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
|
3763 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3764 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3765 // 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
|
3766 |
2828 | 3767 ComplexMatrix |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3768 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3769 blas_trans_type transa, blas_trans_type transb) |
2828 | 3770 { |
3771 ComplexMatrix retval; | |
3772 | |
18084
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3773 bool tra = transa != blas_no_trans; |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3774 bool trb = transb != blas_no_trans; |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3775 bool cja = transa == blas_conj_trans; |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3776 bool cjb = transb == blas_conj_trans; |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3777 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3778 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
|
3779 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
|
3780 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3781 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
|
3782 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
|
3783 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3784 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
|
3785 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
2828 | 3786 else |
3787 { | |
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
|
3788 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
|
3789 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
|
3790 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
|
3791 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3792 octave_idx_type lda = a.rows (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3793 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3794 // FIXME: looking at the reference BLAS, it appears that it |
11596
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3795 // should not be necessary to initialize the output matrix if |
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3796 // BETA is 0 in the call to ZHERK, but ATLAS appears to |
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3797 // use the result matrix before zeroing the elements. |
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3798 |
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3799 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3800 Complex *c = retval.fortran_vec (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 |
11516 | 3802 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
|
3803 if (cja || cjb) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3806 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3807 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3811 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
|
3812 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
|
3813 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
|
3814 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 else |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3818 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3823 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
|
3824 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
|
3825 retval.xelem (j,i) = retval.xelem (i,j); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3826 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3827 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3828 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3829 } |
2828 | 3830 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3831 { |
18084
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3832 octave_idx_type lda = a.rows (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3833 octave_idx_type tda = a.cols (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3834 octave_idx_type ldb = b.rows (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3835 octave_idx_type tdb = b.cols (); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3836 |
13829
8e25d6d1db10
ensure that complex matrix multiplication results are fully initialized
John W. Eaton <jwe@octave.org>
parents:
13828
diff
changeset
|
3837 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3838 Complex *c = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3839 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3840 if (b_nc == 1 && a_nr == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3841 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3842 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
|
3843 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3844 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3845 *c); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3846 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
|
3847 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3848 else if (cja) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3849 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3850 *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
|
3851 else |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3852 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3853 *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
|
3854 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3855 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
|
3856 { |
11516 | 3857 const char ctra = get_blas_trans_arg (tra, cja); |
3858 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
|
3859 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
|
3860 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
|
3861 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
|
3862 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3863 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
|
3864 { |
11516 | 3865 const char crevtrb = get_blas_trans_arg (! trb, cjb); |
3866 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
|
3867 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
|
3868 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
|
3869 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
|
3870 } |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3871 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3872 { |
11516 | 3873 const char ctra = get_blas_trans_arg (tra, cja); |
3874 const char ctrb = get_blas_trans_arg (trb, cjb); | |
3875 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
3876 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3877 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
|
3878 lda, b.data (), ldb, 0.0, c, a_nr |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3879 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3880 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3881 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3882 } |
2828 | 3883 } |
3884 | |
3885 return retval; | |
3886 } | |
3887 | |
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
|
3888 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
|
3889 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
|
3890 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3891 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
|
3892 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3893 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3894 // FIXME: it would be nice to share code among the min/max functions below. |
4309 | 3895 |
3896 #define EMPTY_RETURN_CHECK(T) \ | |
3897 if (nr == 0 || nc == 0) \ | |
3898 return T (nr, nc); | |
3899 | |
3900 ComplexMatrix | |
3901 min (const Complex& c, const ComplexMatrix& m) | |
3902 { | |
5275 | 3903 octave_idx_type nr = m.rows (); |
3904 octave_idx_type nc = m.columns (); | |
4309 | 3905 |
3906 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3907 | |
3908 ComplexMatrix result (nr, nc); | |
3909 | |
5275 | 3910 for (octave_idx_type j = 0; j < nc; j++) |
3911 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3912 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3913 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3914 result(i, j) = xmin (c, m(i, j)); |
4309 | 3915 } |
3916 | |
3917 return result; | |
3918 } | |
3919 | |
3920 ComplexMatrix | |
3921 min (const ComplexMatrix& m, const Complex& c) | |
3922 { | |
5275 | 3923 octave_idx_type nr = m.rows (); |
3924 octave_idx_type nc = m.columns (); | |
4309 | 3925 |
3926 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3927 | |
3928 ComplexMatrix result (nr, nc); | |
3929 | |
5275 | 3930 for (octave_idx_type j = 0; j < nc; j++) |
3931 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3932 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3933 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3934 result(i, j) = xmin (m(i, j), c); |
4309 | 3935 } |
3936 | |
3937 return result; | |
3938 } | |
3939 | |
3940 ComplexMatrix | |
3941 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
3942 { | |
5275 | 3943 octave_idx_type nr = a.rows (); |
3944 octave_idx_type nc = a.columns (); | |
4309 | 3945 |
3946 if (nr != b.rows () || nc != b.columns ()) | |
3947 { | |
3948 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3949 ("two-arg min expecting args of same size"); |
4309 | 3950 return ComplexMatrix (); |
3951 } | |
3952 | |
3953 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3954 | |
3955 ComplexMatrix result (nr, nc); | |
3956 | |
5275 | 3957 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 3958 { |
3959 int columns_are_real_only = 1; | |
5275 | 3960 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
|
3961 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3962 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3963 if (std::imag (a(i, j)) != 0.0 || std::imag (b(i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3964 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3965 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3966 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3967 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3968 } |
4309 | 3969 |
3970 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3971 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3972 for (octave_idx_type i = 0; i < nr; i++) |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3973 result(i, j) = xmin (std::real (a(i, j)), std::real (b(i, j))); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3974 } |
4309 | 3975 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3976 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3977 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3978 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3979 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3980 result(i, j) = xmin (a(i, j), b(i, j)); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3981 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3982 } |
4309 | 3983 } |
3984 | |
3985 return result; | |
3986 } | |
3987 | |
3988 ComplexMatrix | |
3989 max (const Complex& c, const ComplexMatrix& m) | |
3990 { | |
5275 | 3991 octave_idx_type nr = m.rows (); |
3992 octave_idx_type nc = m.columns (); | |
4309 | 3993 |
3994 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3995 | |
3996 ComplexMatrix result (nr, nc); | |
3997 | |
5275 | 3998 for (octave_idx_type j = 0; j < nc; j++) |
3999 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 4000 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4001 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
4002 result(i, j) = xmax (c, m(i, j)); |
4309 | 4003 } |
4004 | |
4005 return result; | |
4006 } | |
4007 | |
4008 ComplexMatrix | |
4009 max (const ComplexMatrix& m, const Complex& c) | |
4010 { | |
5275 | 4011 octave_idx_type nr = m.rows (); |
4012 octave_idx_type nc = m.columns (); | |
4309 | 4013 |
4014 EMPTY_RETURN_CHECK (ComplexMatrix); | |
4015 | |
4016 ComplexMatrix result (nr, nc); | |
4017 | |
5275 | 4018 for (octave_idx_type j = 0; j < nc; j++) |
4019 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 4020 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4021 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
4022 result(i, j) = xmax (m(i, j), c); |
4309 | 4023 } |
4024 | |
4025 return result; | |
4026 } | |
4027 | |
4028 ComplexMatrix | |
4029 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
4030 { | |
5275 | 4031 octave_idx_type nr = a.rows (); |
4032 octave_idx_type nc = a.columns (); | |
4309 | 4033 |
4034 if (nr != b.rows () || nc != b.columns ()) | |
4035 { | |
4036 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4037 ("two-arg max expecting args of same size"); |
4309 | 4038 return ComplexMatrix (); |
4039 } | |
4040 | |
4041 EMPTY_RETURN_CHECK (ComplexMatrix); | |
4042 | |
4043 ComplexMatrix result (nr, nc); | |
4044 | |
5275 | 4045 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 4046 { |
4047 int columns_are_real_only = 1; | |
5275 | 4048 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
|
4049 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4050 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
4051 if (std::imag (a(i, j)) != 0.0 || std::imag (b(i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4052 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4053 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4054 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4055 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4056 } |
4309 | 4057 |
4058 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4059 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4060 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4061 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4062 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
4063 result(i, j) = xmax (std::real (a(i, j)), std::real (b(i, j))); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4064 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4065 } |
4309 | 4066 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4067 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4068 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4069 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4070 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
4071 result(i, j) = xmax (a(i, j), b(i, j)); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4072 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4073 } |
4309 | 4074 } |
4075 | |
4076 return result; | |
4077 } | |
4078 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4079 ComplexMatrix linspace (const ComplexColumnVector& x1, |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4080 const ComplexColumnVector& x2, |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4081 octave_idx_type n) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4082 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4083 { |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4084 if (n < 1) n = 1; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4085 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4086 octave_idx_type m = x1.length (); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4087 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4088 if (x2.length () != m) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4089 (*current_liboctave_error_handler) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4090 ("linspace: vectors must be of equal length"); |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4091 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4092 NoAlias<ComplexMatrix> retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4093 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4094 retval.clear (m, n); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4095 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4096 retval(i, 0) = x1(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4097 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4098 // The last column is not needed while using delta. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4099 Complex *delta = &retval(0, n-1); |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4100 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4101 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4102 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4103 for (octave_idx_type j = 1; j < n-1; j++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4104 for (octave_idx_type i = 0; i < m; i++) |
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4105 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4106 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4107 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4108 retval(i, n-1) = x2(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4109 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4110 return retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4111 } |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4112 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4113 MS_CMP_OPS (ComplexMatrix, Complex) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4114 MS_BOOL_OPS (ComplexMatrix, Complex) |
2870 | 4115 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4116 SM_CMP_OPS (Complex, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4117 SM_BOOL_OPS (Complex, ComplexMatrix) |
2870 | 4118 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4119 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4120 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |