Mercurial > hg > octave-nkf
annotate liboctave/array/CMatrix.cc @ 19510:d0c73e23a505
Change inheritance tree so that <T>Matrix inherit from <T>NDArray.
* liboctave/array/CMatrix.cc, liboctave/array/CMatrix.h,
liboctave/array/CNDArray.cc, liboctave/array/CNDArray.h,
liboctave/array/dMatrix.cc, liboctave/array/dMatrix.h,
liboctave/array/dNDArray.cc, liboctave/array/dNDArray.h,
liboctave/array/fCMatrix.cc, liboctave/array/fCMatrix.h,
liboctave/array/fCNDArray.cc, liboctave/array/fCNDArray.h,
liboctave/array/fMatrix.cc, liboctave/array/fMatrix.h,
liboctave/array/fNDArray.cc, liboctave/array/fNDArray.h: change base class of
Matrix, FloatMatrix, ComplexMatrix, and FloatComplexMatrix to NDArray,
FloatNDArray, ComplexNDArray, and FloatComplexNDArray respectively. This will
allow to reduce duplicated code since the Matrix classes will be able to
inherit many of their methods from their NDArray counterparts. Also remove
the matrix_value () method since a constructor now suffices.
* liboctave/array/CSparse.h: include CMatrix
* libinterp/corefcn/pr-output.cc, libinterp/octave-value/ov-cx-mat.cc,
libinterp/octave-value/ov-flt-cx-mat.cc,
libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-re-mat.cc:
replace calls to matrix_value () with constructor with respective Matrix
subclass.
author | Carnë Draug <carandraug@octave.org> |
---|---|
date | Fri, 07 Nov 2014 08:15:55 +0000 |
parents | 65554f5847ac |
children | 3746b92739f7 |
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 "CNDArray.h" |
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44 #include "CRowVector.h" |
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45 #include "dRowVector.h" |
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46 #include "CDiagMatrix.h" |
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47 #include "dDiagMatrix.h" |
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48 #include "CmplxCHOL.h" |
1819 | 49 #include "CmplxSCHUR.h" |
740 | 50 #include "CmplxSVD.h" |
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51 #include "DET.h" |
1847 | 52 #include "f77-fcn.h" |
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53 #include "functor.h" |
458 | 54 #include "lo-error.h" |
2354 | 55 #include "lo-ieee.h" |
56 #include "lo-mappers.h" | |
1968 | 57 #include "lo-utils.h" |
2828 | 58 #include "mx-cm-dm.h" |
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59 #include "mx-cm-s.h" |
3176 | 60 #include "mx-dm-cm.h" |
1367 | 61 #include "mx-inlines.cc" |
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62 #include "mx-op-defs.h" |
1650 | 63 #include "oct-cmplx.h" |
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64 #include "oct-fftw.h" |
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65 #include "oct-locbuf.h" |
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66 #include "oct-norm.h" |
458 | 67 |
68 // Fortran functions we call. | |
69 | |
70 extern "C" | |
71 { | |
7477 | 72 F77_RET_T |
11518 | 73 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, |
74 F77_CONST_CHAR_ARG_DECL, | |
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75 F77_CONST_CHAR_ARG_DECL, |
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76 const octave_idx_type&, const octave_idx_type&, |
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77 const octave_idx_type&, const octave_idx_type&, |
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78 octave_idx_type& |
11518 | 79 F77_CHAR_ARG_LEN_DECL |
80 F77_CHAR_ARG_LEN_DECL); | |
7476 | 81 |
4552 | 82 F77_RET_T |
83 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 84 const octave_idx_type&, Complex*, |
85 const octave_idx_type&, octave_idx_type&, | |
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86 octave_idx_type&, double*, octave_idx_type& |
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87 F77_CHAR_ARG_LEN_DECL); |
4552 | 88 |
89 F77_RET_T | |
90 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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91 F77_CONST_CHAR_ARG_DECL, |
11518 | 92 const octave_idx_type&, const octave_idx_type&, |
93 const octave_idx_type&, double*, | |
94 const octave_idx_type&, double*, | |
95 const octave_idx_type&, octave_idx_type& | |
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96 F77_CHAR_ARG_LEN_DECL |
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97 F77_CHAR_ARG_LEN_DECL); |
4552 | 98 |
99 F77_RET_T | |
100 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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101 F77_CONST_CHAR_ARG_DECL, |
11518 | 102 const octave_idx_type&, const octave_idx_type&, |
103 const octave_idx_type&, const Complex&, | |
104 const Complex*, const octave_idx_type&, | |
105 const Complex*, const octave_idx_type&, | |
106 const Complex&, Complex*, const octave_idx_type& | |
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107 F77_CHAR_ARG_LEN_DECL |
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108 F77_CHAR_ARG_LEN_DECL); |
4552 | 109 |
110 F77_RET_T | |
5983 | 111 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
11518 | 112 const octave_idx_type&, const octave_idx_type&, |
113 const Complex&, const Complex*, | |
114 const octave_idx_type&, const Complex*, | |
115 const octave_idx_type&, const Complex&, | |
116 Complex*, const octave_idx_type& | |
5983 | 117 F77_CHAR_ARG_LEN_DECL); |
118 | |
119 F77_RET_T | |
11518 | 120 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, |
121 const octave_idx_type&, const Complex*, | |
122 const octave_idx_type&, Complex&); | |
5983 | 123 |
124 F77_RET_T | |
11518 | 125 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, |
126 const octave_idx_type&, const Complex*, | |
127 const octave_idx_type&, Complex&); | |
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128 |
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129 F77_RET_T |
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130 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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131 F77_CONST_CHAR_ARG_DECL, |
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132 const octave_idx_type&, const octave_idx_type&, |
11518 | 133 const Complex&, const Complex*, |
134 const octave_idx_type&, const Complex&, | |
135 Complex*, const octave_idx_type& | |
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136 F77_CHAR_ARG_LEN_DECL |
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137 F77_CHAR_ARG_LEN_DECL); |
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138 |
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139 F77_RET_T |
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140 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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141 F77_CONST_CHAR_ARG_DECL, |
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142 const octave_idx_type&, const octave_idx_type&, |
11518 | 143 const double&, const Complex*, |
144 const octave_idx_type&, const double&, Complex*, | |
145 const octave_idx_type& | |
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146 F77_CHAR_ARG_LEN_DECL |
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147 F77_CHAR_ARG_LEN_DECL); |
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148 |
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149 F77_RET_T |
11518 | 150 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, |
151 Complex*, const octave_idx_type&, | |
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152 octave_idx_type*, octave_idx_type&); |
4552 | 153 |
154 F77_RET_T | |
155 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 156 const octave_idx_type&, const octave_idx_type&, |
157 Complex*, const octave_idx_type&, | |
158 const octave_idx_type*, Complex*, | |
159 const octave_idx_type&, octave_idx_type& | |
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160 F77_CHAR_ARG_LEN_DECL); |
4552 | 161 |
162 F77_RET_T | |
11518 | 163 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, |
164 const octave_idx_type&, const octave_idx_type*, | |
165 Complex*, const octave_idx_type&, | |
166 octave_idx_type&); | |
4552 | 167 |
168 F77_RET_T | |
169 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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170 const octave_idx_type&, Complex*, |
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171 const octave_idx_type&, const double&, double&, |
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172 Complex*, double*, octave_idx_type& |
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173 F77_CHAR_ARG_LEN_DECL); |
4552 | 174 |
175 F77_RET_T | |
11518 | 176 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, |
177 const octave_idx_type&, Complex*, | |
178 const octave_idx_type&, Complex*, | |
179 const octave_idx_type&, octave_idx_type*, | |
180 double&, octave_idx_type&, Complex*, | |
181 const octave_idx_type&, double*, | |
182 octave_idx_type&); | |
7072 | 183 |
184 F77_RET_T | |
11518 | 185 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, |
186 const octave_idx_type&, Complex*, | |
187 const octave_idx_type&, Complex*, | |
188 const octave_idx_type&, double*, double&, | |
189 octave_idx_type&, Complex*, | |
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190 const octave_idx_type&, double*, |
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191 octave_idx_type*, octave_idx_type&); |
458 | 192 |
5785 | 193 F77_RET_T |
11518 | 194 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, |
195 const octave_idx_type&, Complex*, | |
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196 const octave_idx_type&, octave_idx_type& |
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197 F77_CHAR_ARG_LEN_DECL); |
5785 | 198 |
199 F77_RET_T | |
11518 | 200 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, |
201 const octave_idx_type&, Complex*, | |
202 const octave_idx_type&, const double&, | |
203 double&, Complex*, double*, octave_idx_type& | |
204 F77_CHAR_ARG_LEN_DECL); | |
205 | |
206 F77_RET_T | |
207 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
208 const octave_idx_type&, const octave_idx_type&, | |
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209 const Complex*, const octave_idx_type&, Complex*, |
11518 | 210 const octave_idx_type&, octave_idx_type& |
211 F77_CHAR_ARG_LEN_DECL); | |
212 | |
213 F77_RET_T | |
214 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
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215 F77_CONST_CHAR_ARG_DECL, |
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216 const octave_idx_type&, const Complex*, |
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217 const octave_idx_type&, octave_idx_type& |
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218 F77_CHAR_ARG_LEN_DECL |
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219 F77_CHAR_ARG_LEN_DECL); |
6207 | 220 |
221 F77_RET_T | |
11518 | 222 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, |
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223 F77_CONST_CHAR_ARG_DECL, |
11518 | 224 F77_CONST_CHAR_ARG_DECL, |
225 const octave_idx_type&, const Complex*, | |
226 const octave_idx_type&, double&, | |
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227 Complex*, double*, octave_idx_type& |
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228 F77_CHAR_ARG_LEN_DECL |
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229 F77_CHAR_ARG_LEN_DECL |
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230 F77_CHAR_ARG_LEN_DECL); |
5785 | 231 |
232 F77_RET_T | |
11518 | 233 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, |
234 F77_CONST_CHAR_ARG_DECL, | |
235 F77_CONST_CHAR_ARG_DECL, | |
236 const octave_idx_type&, const octave_idx_type&, | |
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237 const Complex*, const octave_idx_type&, Complex*, |
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238 const octave_idx_type&, octave_idx_type& |
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239 F77_CHAR_ARG_LEN_DECL |
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240 F77_CHAR_ARG_LEN_DECL |
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241 F77_CHAR_ARG_LEN_DECL); |
5785 | 242 |
4552 | 243 F77_RET_T |
11518 | 244 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, double&, |
245 Complex&, Complex&); | |
4552 | 246 |
247 F77_RET_T | |
248 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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249 F77_CONST_CHAR_ARG_DECL, |
11518 | 250 const octave_idx_type&, const octave_idx_type&, |
251 const octave_idx_type&, const Complex*, | |
252 const octave_idx_type&, const Complex*, | |
253 const octave_idx_type&, const Complex*, | |
254 const octave_idx_type&, double&, octave_idx_type& | |
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255 F77_CHAR_ARG_LEN_DECL |
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256 F77_CHAR_ARG_LEN_DECL); |
4552 | 257 |
258 F77_RET_T | |
259 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 260 const octave_idx_type&, const octave_idx_type&, |
261 const Complex*, const octave_idx_type&, | |
262 double*, double& | |
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263 F77_CHAR_ARG_LEN_DECL); |
458 | 264 } |
265 | |
2354 | 266 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
267 | |
1360 | 268 // Complex Matrix class |
458 | 269 |
270 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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271 : ComplexNDArray (a) |
458 | 272 { |
273 } | |
274 | |
2349 | 275 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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276 : ComplexNDArray (rv) |
2349 | 277 { |
278 } | |
279 | |
280 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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281 : ComplexNDArray (cv) |
2349 | 282 { |
283 } | |
284 | |
458 | 285 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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286 : ComplexNDArray (a.dims (), 0.0) |
458 | 287 { |
5275 | 288 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 289 elem (i, i) = a.elem (i, i); |
290 } | |
291 | |
2349 | 292 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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293 : ComplexNDArray (rv) |
2349 | 294 { |
295 } | |
296 | |
297 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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298 : ComplexNDArray (cv) |
2349 | 299 { |
300 } | |
301 | |
458 | 302 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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303 : ComplexNDArray (a.dims (), 0.0) |
458 | 304 { |
5275 | 305 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 306 elem (i, i) = a.elem (i, i); |
307 } | |
308 | |
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309 // FIXME: could we use a templated mixed-type copy function here? |
1574 | 310 |
2828 | 311 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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312 : ComplexNDArray (a) |
2828 | 313 { |
314 } | |
315 | |
1574 | 316 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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317 : ComplexNDArray (a.dims (), 0.0) |
1574 | 318 { |
5275 | 319 for (octave_idx_type i = 0; i < a.rows (); i++) |
320 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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321 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
1574 | 322 } |
323 | |
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324 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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325 : ComplexNDArray (re.dims ()) |
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326 { |
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327 if (im.rows () != rows () || im.cols () != cols ()) |
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328 (*current_liboctave_error_handler) ("complex: internal error"); |
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329 |
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330 octave_idx_type nel = numel (); |
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331 for (octave_idx_type i = 0; i < nel; i++) |
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332 xelem (i) = Complex (re(i), im(i)); |
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333 } |
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334 |
2384 | 335 bool |
458 | 336 ComplexMatrix::operator == (const ComplexMatrix& a) const |
337 { | |
338 if (rows () != a.rows () || cols () != a.cols ()) | |
2384 | 339 return false; |
458 | 340 |
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341 return mx_inline_equal (length (), data (), a.data ()); |
458 | 342 } |
343 | |
2384 | 344 bool |
458 | 345 ComplexMatrix::operator != (const ComplexMatrix& a) const |
346 { | |
347 return !(*this == a); | |
348 } | |
349 | |
2815 | 350 bool |
351 ComplexMatrix::is_hermitian (void) const | |
352 { | |
5275 | 353 octave_idx_type nr = rows (); |
354 octave_idx_type nc = cols (); | |
2815 | 355 |
356 if (is_square () && nr > 0) | |
357 { | |
5275 | 358 for (octave_idx_type i = 0; i < nr; i++) |
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359 for (octave_idx_type j = i; j < nc; j++) |
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360 if (elem (i, j) != conj (elem (j, i))) |
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361 return false; |
2815 | 362 |
363 return true; | |
364 } | |
365 | |
366 return false; | |
367 } | |
368 | |
458 | 369 // destructive insert/delete/reorder operations |
370 | |
371 ComplexMatrix& | |
5275 | 372 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
458 | 373 { |
5275 | 374 octave_idx_type a_nr = a.rows (); |
375 octave_idx_type a_nc = a.cols (); | |
1699 | 376 |
377 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 378 { |
379 (*current_liboctave_error_handler) ("range error for insert"); | |
380 return *this; | |
381 } | |
382 | |
4316 | 383 if (a_nr >0 && a_nc > 0) |
384 { | |
385 make_unique (); | |
386 | |
5275 | 387 for (octave_idx_type j = 0; j < a_nc; j++) |
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388 for (octave_idx_type i = 0; i < a_nr; i++) |
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389 xelem (r+i, c+j) = a.elem (i, j); |
4316 | 390 } |
458 | 391 |
392 return *this; | |
393 } | |
394 | |
395 ComplexMatrix& | |
5275 | 396 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 397 { |
5275 | 398 octave_idx_type a_len = a.length (); |
4316 | 399 |
1699 | 400 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 401 { |
402 (*current_liboctave_error_handler) ("range error for insert"); | |
403 return *this; | |
404 } | |
405 | |
4316 | 406 if (a_len > 0) |
407 { | |
408 make_unique (); | |
409 | |
5275 | 410 for (octave_idx_type i = 0; i < a_len; i++) |
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411 xelem (r, c+i) = a.elem (i); |
4316 | 412 } |
458 | 413 |
414 return *this; | |
415 } | |
416 | |
417 ComplexMatrix& | |
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418 ComplexMatrix::insert (const ColumnVector& a, |
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419 octave_idx_type r, octave_idx_type c) |
458 | 420 { |
5275 | 421 octave_idx_type a_len = a.length (); |
4316 | 422 |
1699 | 423 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 424 { |
425 (*current_liboctave_error_handler) ("range error for insert"); | |
426 return *this; | |
427 } | |
428 | |
4316 | 429 if (a_len > 0) |
430 { | |
431 make_unique (); | |
432 | |
5275 | 433 for (octave_idx_type i = 0; i < a_len; i++) |
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434 xelem (r+i, c) = a.elem (i); |
4316 | 435 } |
458 | 436 |
437 return *this; | |
438 } | |
439 | |
440 ComplexMatrix& | |
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441 ComplexMatrix::insert (const DiagMatrix& a, |
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442 octave_idx_type r, octave_idx_type c) |
458 | 443 { |
5275 | 444 octave_idx_type a_nr = a.rows (); |
445 octave_idx_type a_nc = a.cols (); | |
1699 | 446 |
447 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 448 { |
449 (*current_liboctave_error_handler) ("range error for insert"); | |
450 return *this; | |
451 } | |
452 | |
1699 | 453 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
454 | |
5275 | 455 octave_idx_type a_len = a.length (); |
4316 | 456 |
457 if (a_len > 0) | |
458 { | |
459 make_unique (); | |
460 | |
5275 | 461 for (octave_idx_type i = 0; i < a_len; i++) |
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462 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 463 } |
458 | 464 |
465 return *this; | |
466 } | |
467 | |
468 ComplexMatrix& | |
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469 ComplexMatrix::insert (const ComplexMatrix& a, |
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470 octave_idx_type r, octave_idx_type c) |
458 | 471 { |
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472 ComplexNDArray::insert (a, r, c); |
458 | 473 return *this; |
474 } | |
475 | |
476 ComplexMatrix& | |
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477 ComplexMatrix::insert (const ComplexRowVector& a, |
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478 octave_idx_type r, octave_idx_type c) |
458 | 479 { |
5275 | 480 octave_idx_type a_len = a.length (); |
1699 | 481 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 482 { |
483 (*current_liboctave_error_handler) ("range error for insert"); | |
484 return *this; | |
485 } | |
486 | |
5275 | 487 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 488 elem (r, c+i) = a.elem (i); |
489 | |
490 return *this; | |
491 } | |
492 | |
493 ComplexMatrix& | |
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494 ComplexMatrix::insert (const ComplexColumnVector& a, |
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495 octave_idx_type r, octave_idx_type c) |
458 | 496 { |
5275 | 497 octave_idx_type a_len = a.length (); |
4316 | 498 |
1699 | 499 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 500 { |
501 (*current_liboctave_error_handler) ("range error for insert"); | |
502 return *this; | |
503 } | |
504 | |
4316 | 505 if (a_len > 0) |
506 { | |
507 make_unique (); | |
508 | |
5275 | 509 for (octave_idx_type i = 0; i < a_len; i++) |
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510 xelem (r+i, c) = a.elem (i); |
4316 | 511 } |
458 | 512 |
513 return *this; | |
514 } | |
515 | |
516 ComplexMatrix& | |
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517 ComplexMatrix::insert (const ComplexDiagMatrix& a, |
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518 octave_idx_type r, octave_idx_type c) |
458 | 519 { |
5275 | 520 octave_idx_type a_nr = a.rows (); |
521 octave_idx_type a_nc = a.cols (); | |
1699 | 522 |
523 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
458 | 524 { |
525 (*current_liboctave_error_handler) ("range error for insert"); | |
526 return *this; | |
527 } | |
528 | |
1699 | 529 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
530 | |
5275 | 531 octave_idx_type a_len = a.length (); |
4316 | 532 |
533 if (a_len > 0) | |
534 { | |
535 make_unique (); | |
536 | |
5275 | 537 for (octave_idx_type i = 0; i < a_len; i++) |
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538 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 539 } |
458 | 540 |
541 return *this; | |
542 } | |
543 | |
544 ComplexMatrix& | |
545 ComplexMatrix::fill (double val) | |
546 { | |
5275 | 547 octave_idx_type nr = rows (); |
548 octave_idx_type nc = cols (); | |
4316 | 549 |
458 | 550 if (nr > 0 && nc > 0) |
4316 | 551 { |
552 make_unique (); | |
553 | |
5275 | 554 for (octave_idx_type j = 0; j < nc; j++) |
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555 for (octave_idx_type i = 0; i < nr; i++) |
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556 xelem (i, j) = val; |
4316 | 557 } |
458 | 558 |
559 return *this; | |
560 } | |
561 | |
562 ComplexMatrix& | |
563 ComplexMatrix::fill (const Complex& val) | |
564 { | |
5275 | 565 octave_idx_type nr = rows (); |
566 octave_idx_type nc = cols (); | |
4316 | 567 |
458 | 568 if (nr > 0 && nc > 0) |
4316 | 569 { |
570 make_unique (); | |
571 | |
5275 | 572 for (octave_idx_type j = 0; j < nc; j++) |
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573 for (octave_idx_type i = 0; i < nr; i++) |
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574 xelem (i, j) = val; |
4316 | 575 } |
458 | 576 |
577 return *this; | |
578 } | |
579 | |
580 ComplexMatrix& | |
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581 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, |
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582 octave_idx_type r2, octave_idx_type c2) |
458 | 583 { |
5275 | 584 octave_idx_type nr = rows (); |
585 octave_idx_type nc = cols (); | |
4316 | 586 |
458 | 587 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
588 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
589 { | |
590 (*current_liboctave_error_handler) ("range error for fill"); | |
591 return *this; | |
592 } | |
593 | |
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594 if (r1 > r2) { std::swap (r1, r2); } |
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595 if (c1 > c2) { std::swap (c1, c2); } |
458 | 596 |
4316 | 597 if (r2 >= r1 && c2 >= c1) |
598 { | |
599 make_unique (); | |
600 | |
5275 | 601 for (octave_idx_type j = c1; j <= c2; j++) |
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602 for (octave_idx_type i = r1; i <= r2; i++) |
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603 xelem (i, j) = val; |
4316 | 604 } |
458 | 605 |
606 return *this; | |
607 } | |
608 | |
609 ComplexMatrix& | |
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610 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, |
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611 octave_idx_type r2, octave_idx_type c2) |
458 | 612 { |
5275 | 613 octave_idx_type nr = rows (); |
614 octave_idx_type nc = cols (); | |
4316 | 615 |
458 | 616 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
617 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
618 { | |
619 (*current_liboctave_error_handler) ("range error for fill"); | |
620 return *this; | |
621 } | |
622 | |
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623 if (r1 > r2) { std::swap (r1, r2); } |
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624 if (c1 > c2) { std::swap (c1, c2); } |
458 | 625 |
4316 | 626 if (r2 >= r1 && c2 >=c1) |
627 { | |
628 make_unique (); | |
629 | |
5275 | 630 for (octave_idx_type j = c1; j <= c2; j++) |
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631 for (octave_idx_type i = r1; i <= r2; i++) |
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632 xelem (i, j) = val; |
4316 | 633 } |
458 | 634 |
635 return *this; | |
636 } | |
637 | |
638 ComplexMatrix | |
639 ComplexMatrix::append (const Matrix& a) const | |
640 { | |
5275 | 641 octave_idx_type nr = rows (); |
642 octave_idx_type nc = cols (); | |
458 | 643 if (nr != a.rows ()) |
644 { | |
645 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
646 return *this; | |
647 } | |
648 | |
5275 | 649 octave_idx_type nc_insert = nc; |
458 | 650 ComplexMatrix retval (nr, nc + a.cols ()); |
651 retval.insert (*this, 0, 0); | |
652 retval.insert (a, 0, nc_insert); | |
653 return retval; | |
654 } | |
655 | |
656 ComplexMatrix | |
657 ComplexMatrix::append (const RowVector& a) const | |
658 { | |
5275 | 659 octave_idx_type nr = rows (); |
660 octave_idx_type nc = cols (); | |
458 | 661 if (nr != 1) |
662 { | |
663 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
664 return *this; | |
665 } | |
666 | |
5275 | 667 octave_idx_type nc_insert = nc; |
458 | 668 ComplexMatrix retval (nr, nc + a.length ()); |
669 retval.insert (*this, 0, 0); | |
670 retval.insert (a, 0, nc_insert); | |
671 return retval; | |
672 } | |
673 | |
674 ComplexMatrix | |
675 ComplexMatrix::append (const ColumnVector& a) const | |
676 { | |
5275 | 677 octave_idx_type nr = rows (); |
678 octave_idx_type nc = cols (); | |
458 | 679 if (nr != a.length ()) |
680 { | |
681 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
682 return *this; | |
683 } | |
684 | |
5275 | 685 octave_idx_type nc_insert = nc; |
458 | 686 ComplexMatrix retval (nr, nc + 1); |
687 retval.insert (*this, 0, 0); | |
688 retval.insert (a, 0, nc_insert); | |
689 return retval; | |
690 } | |
691 | |
692 ComplexMatrix | |
693 ComplexMatrix::append (const DiagMatrix& a) const | |
694 { | |
5275 | 695 octave_idx_type nr = rows (); |
696 octave_idx_type nc = cols (); | |
458 | 697 if (nr != a.rows ()) |
698 { | |
699 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
700 return *this; | |
701 } | |
702 | |
5275 | 703 octave_idx_type nc_insert = nc; |
458 | 704 ComplexMatrix retval (nr, nc + a.cols ()); |
705 retval.insert (*this, 0, 0); | |
706 retval.insert (a, 0, nc_insert); | |
707 return retval; | |
708 } | |
709 | |
710 ComplexMatrix | |
711 ComplexMatrix::append (const ComplexMatrix& a) const | |
712 { | |
5275 | 713 octave_idx_type nr = rows (); |
714 octave_idx_type nc = cols (); | |
458 | 715 if (nr != a.rows ()) |
716 { | |
717 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
718 return *this; | |
719 } | |
720 | |
5275 | 721 octave_idx_type nc_insert = nc; |
458 | 722 ComplexMatrix retval (nr, nc + a.cols ()); |
723 retval.insert (*this, 0, 0); | |
724 retval.insert (a, 0, nc_insert); | |
725 return retval; | |
726 } | |
727 | |
728 ComplexMatrix | |
729 ComplexMatrix::append (const ComplexRowVector& a) const | |
730 { | |
5275 | 731 octave_idx_type nr = rows (); |
732 octave_idx_type nc = cols (); | |
458 | 733 if (nr != 1) |
734 { | |
735 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
736 return *this; | |
737 } | |
738 | |
5275 | 739 octave_idx_type nc_insert = nc; |
458 | 740 ComplexMatrix retval (nr, nc + a.length ()); |
741 retval.insert (*this, 0, 0); | |
742 retval.insert (a, 0, nc_insert); | |
743 return retval; | |
744 } | |
745 | |
746 ComplexMatrix | |
747 ComplexMatrix::append (const ComplexColumnVector& a) const | |
748 { | |
5275 | 749 octave_idx_type nr = rows (); |
750 octave_idx_type nc = cols (); | |
458 | 751 if (nr != a.length ()) |
752 { | |
753 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
754 return *this; | |
755 } | |
756 | |
5275 | 757 octave_idx_type nc_insert = nc; |
458 | 758 ComplexMatrix retval (nr, nc + 1); |
759 retval.insert (*this, 0, 0); | |
760 retval.insert (a, 0, nc_insert); | |
761 return retval; | |
762 } | |
763 | |
764 ComplexMatrix | |
765 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
766 { | |
5275 | 767 octave_idx_type nr = rows (); |
768 octave_idx_type nc = cols (); | |
458 | 769 if (nr != a.rows ()) |
770 { | |
771 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
772 return *this; | |
773 } | |
774 | |
5275 | 775 octave_idx_type nc_insert = nc; |
458 | 776 ComplexMatrix retval (nr, nc + a.cols ()); |
777 retval.insert (*this, 0, 0); | |
778 retval.insert (a, 0, nc_insert); | |
779 return retval; | |
780 } | |
781 | |
782 ComplexMatrix | |
783 ComplexMatrix::stack (const Matrix& a) const | |
784 { | |
5275 | 785 octave_idx_type nr = rows (); |
786 octave_idx_type nc = cols (); | |
458 | 787 if (nc != a.cols ()) |
788 { | |
789 (*current_liboctave_error_handler) | |
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790 ("column dimension mismatch for stack"); |
458 | 791 return *this; |
792 } | |
793 | |
5275 | 794 octave_idx_type nr_insert = nr; |
458 | 795 ComplexMatrix retval (nr + a.rows (), nc); |
796 retval.insert (*this, 0, 0); | |
797 retval.insert (a, nr_insert, 0); | |
798 return retval; | |
799 } | |
800 | |
801 ComplexMatrix | |
802 ComplexMatrix::stack (const RowVector& a) const | |
803 { | |
5275 | 804 octave_idx_type nr = rows (); |
805 octave_idx_type nc = cols (); | |
458 | 806 if (nc != a.length ()) |
807 { | |
808 (*current_liboctave_error_handler) | |
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809 ("column dimension mismatch for stack"); |
458 | 810 return *this; |
811 } | |
812 | |
5275 | 813 octave_idx_type nr_insert = nr; |
458 | 814 ComplexMatrix retval (nr + 1, nc); |
815 retval.insert (*this, 0, 0); | |
816 retval.insert (a, nr_insert, 0); | |
817 return retval; | |
818 } | |
819 | |
820 ComplexMatrix | |
821 ComplexMatrix::stack (const ColumnVector& a) const | |
822 { | |
5275 | 823 octave_idx_type nr = rows (); |
824 octave_idx_type nc = cols (); | |
458 | 825 if (nc != 1) |
826 { | |
827 (*current_liboctave_error_handler) | |
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828 ("column dimension mismatch for stack"); |
458 | 829 return *this; |
830 } | |
831 | |
5275 | 832 octave_idx_type nr_insert = nr; |
458 | 833 ComplexMatrix retval (nr + a.length (), nc); |
834 retval.insert (*this, 0, 0); | |
835 retval.insert (a, nr_insert, 0); | |
836 return retval; | |
837 } | |
838 | |
839 ComplexMatrix | |
840 ComplexMatrix::stack (const DiagMatrix& a) const | |
841 { | |
5275 | 842 octave_idx_type nr = rows (); |
843 octave_idx_type nc = cols (); | |
458 | 844 if (nc != a.cols ()) |
845 { | |
846 (*current_liboctave_error_handler) | |
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847 ("column dimension mismatch for stack"); |
458 | 848 return *this; |
849 } | |
850 | |
5275 | 851 octave_idx_type nr_insert = nr; |
458 | 852 ComplexMatrix retval (nr + a.rows (), nc); |
853 retval.insert (*this, 0, 0); | |
854 retval.insert (a, nr_insert, 0); | |
855 return retval; | |
856 } | |
857 | |
858 ComplexMatrix | |
859 ComplexMatrix::stack (const ComplexMatrix& a) const | |
860 { | |
5275 | 861 octave_idx_type nr = rows (); |
862 octave_idx_type nc = cols (); | |
458 | 863 if (nc != a.cols ()) |
864 { | |
865 (*current_liboctave_error_handler) | |
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866 ("column dimension mismatch for stack"); |
458 | 867 return *this; |
868 } | |
869 | |
5275 | 870 octave_idx_type nr_insert = nr; |
458 | 871 ComplexMatrix retval (nr + a.rows (), nc); |
872 retval.insert (*this, 0, 0); | |
873 retval.insert (a, nr_insert, 0); | |
874 return retval; | |
875 } | |
876 | |
877 ComplexMatrix | |
878 ComplexMatrix::stack (const ComplexRowVector& a) const | |
879 { | |
5275 | 880 octave_idx_type nr = rows (); |
881 octave_idx_type nc = cols (); | |
458 | 882 if (nc != a.length ()) |
883 { | |
884 (*current_liboctave_error_handler) | |
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885 ("column dimension mismatch for stack"); |
458 | 886 return *this; |
887 } | |
888 | |
5275 | 889 octave_idx_type nr_insert = nr; |
458 | 890 ComplexMatrix retval (nr + 1, nc); |
891 retval.insert (*this, 0, 0); | |
892 retval.insert (a, nr_insert, 0); | |
893 return retval; | |
894 } | |
895 | |
896 ComplexMatrix | |
897 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
898 { | |
5275 | 899 octave_idx_type nr = rows (); |
900 octave_idx_type nc = cols (); | |
458 | 901 if (nc != 1) |
902 { | |
903 (*current_liboctave_error_handler) | |
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904 ("column dimension mismatch for stack"); |
458 | 905 return *this; |
906 } | |
907 | |
5275 | 908 octave_idx_type nr_insert = nr; |
458 | 909 ComplexMatrix retval (nr + a.length (), nc); |
910 retval.insert (*this, 0, 0); | |
911 retval.insert (a, nr_insert, 0); | |
912 return retval; | |
913 } | |
914 | |
915 ComplexMatrix | |
916 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
917 { | |
5275 | 918 octave_idx_type nr = rows (); |
919 octave_idx_type nc = cols (); | |
458 | 920 if (nc != a.cols ()) |
921 { | |
922 (*current_liboctave_error_handler) | |
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923 ("column dimension mismatch for stack"); |
458 | 924 return *this; |
925 } | |
926 | |
5275 | 927 octave_idx_type nr_insert = nr; |
458 | 928 ComplexMatrix retval (nr + a.rows (), nc); |
929 retval.insert (*this, 0, 0); | |
930 retval.insert (a, nr_insert, 0); | |
931 return retval; | |
932 } | |
933 | |
934 ComplexMatrix | |
935 conj (const ComplexMatrix& a) | |
936 { | |
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937 return do_mx_unary_map<Complex, Complex, std::conj<double> > (a); |
458 | 938 } |
939 | |
940 // resize is the destructive equivalent for this one | |
941 | |
942 ComplexMatrix | |
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943 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, |
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944 octave_idx_type r2, octave_idx_type c2) const |
458 | 945 { |
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946 if (r1 > r2) { std::swap (r1, r2); } |
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947 if (c1 > c2) { std::swap (c1, c2); } |
5275 | 948 |
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949 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
4316 | 950 } |
951 | |
952 ComplexMatrix | |
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953 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, |
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954 octave_idx_type nr, octave_idx_type nc) const |
4316 | 955 { |
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956 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
458 | 957 } |
958 | |
959 // extract row or column i. | |
960 | |
961 ComplexRowVector | |
5275 | 962 ComplexMatrix::row (octave_idx_type i) const |
458 | 963 { |
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964 return index (idx_vector (i), idx_vector::colon); |
458 | 965 } |
966 | |
967 ComplexColumnVector | |
5275 | 968 ComplexMatrix::column (octave_idx_type i) const |
458 | 969 { |
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970 return index (idx_vector::colon, idx_vector (i)); |
458 | 971 } |
972 | |
973 ComplexMatrix | |
974 ComplexMatrix::inverse (void) const | |
975 { | |
5275 | 976 octave_idx_type info; |
7788 | 977 double rcon; |
6207 | 978 MatrixType mattype (*this); |
7788 | 979 return inverse (mattype, info, rcon, 0, 0); |
6207 | 980 } |
981 | |
982 ComplexMatrix | |
6479 | 983 ComplexMatrix::inverse (octave_idx_type& info) const |
984 { | |
7788 | 985 double rcon; |
6479 | 986 MatrixType mattype (*this); |
7788 | 987 return inverse (mattype, info, rcon, 0, 0); |
6479 | 988 } |
989 | |
990 ComplexMatrix | |
7788 | 991 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
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992 int calc_cond) const |
6479 | 993 { |
994 MatrixType mattype (*this); | |
7788 | 995 return inverse (mattype, info, rcon, force, calc_cond); |
6479 | 996 } |
997 | |
998 ComplexMatrix | |
6207 | 999 ComplexMatrix::inverse (MatrixType &mattype) const |
1000 { | |
1001 octave_idx_type info; | |
7788 | 1002 double rcon; |
1003 return inverse (mattype, info, rcon, 0, 0); | |
6207 | 1004 } |
1005 | |
1006 ComplexMatrix | |
1007 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
1008 { | |
7788 | 1009 double rcon; |
1010 return inverse (mattype, info, rcon, 0, 0); | |
458 | 1011 } |
1012 | |
1013 ComplexMatrix | |
6207 | 1014 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
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1015 double& rcon, int force, int calc_cond) const |
458 | 1016 { |
6207 | 1017 ComplexMatrix retval; |
1018 | |
1019 octave_idx_type nr = rows (); | |
1020 octave_idx_type nc = cols (); | |
1021 | |
1022 if (nr != nc || nr == 0 || nc == 0) | |
1023 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
1024 else | |
1025 { | |
1026 int typ = mattype.type (); | |
1027 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
1028 char udiag = 'N'; | |
1029 retval = *this; | |
1030 Complex *tmp_data = retval.fortran_vec (); | |
1031 | |
1032 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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1033 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1034 nr, tmp_data, nr, info |
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1035 F77_CHAR_ARG_LEN (1) |
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1036 F77_CHAR_ARG_LEN (1))); |
6207 | 1037 |
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1038 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1039 rcon = 0.0; |
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1040 if (info != 0) |
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1041 info = -1; |
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1042 else if (calc_cond) |
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1043 { |
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1044 octave_idx_type ztrcon_info = 0; |
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1045 char job = '1'; |
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1046 |
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1047 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1048 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1049 |
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1050 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1051 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1052 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1053 nr, tmp_data, nr, rcon, |
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1054 cwork, rwork, ztrcon_info |
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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 F77_CHAR_ARG_LEN (1))); |
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1058 |
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1059 if (ztrcon_info != 0) |
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1060 info = -1; |
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1061 } |
6207 | 1062 |
1063 if (info == -1 && ! force) | |
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1064 retval = *this; // Restore matrix contents. |
6207 | 1065 } |
1066 | |
1067 return retval; | |
458 | 1068 } |
1069 | |
1070 ComplexMatrix | |
6207 | 1071 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
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1072 double& rcon, int force, int calc_cond) const |
458 | 1073 { |
1948 | 1074 ComplexMatrix retval; |
1075 | |
5275 | 1076 octave_idx_type nr = rows (); |
1077 octave_idx_type nc = cols (); | |
1948 | 1078 |
458 | 1079 if (nr != nc) |
1948 | 1080 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
458 | 1081 else |
1082 { | |
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1083 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
5275 | 1084 octave_idx_type *pipvt = ipvt.fortran_vec (); |
1948 | 1085 |
1086 retval = *this; | |
1087 Complex *tmp_data = retval.fortran_vec (); | |
1088 | |
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1089 Array<Complex> z (dim_vector (1, 1)); |
5275 | 1090 octave_idx_type lwork = -1; |
4330 | 1091 |
1092 // Query the optimum work array size. | |
4329 | 1093 |
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1094 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1095 z.fortran_vec (), lwork, info)); |
4329 | 1096 |
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1097 lwork = static_cast<octave_idx_type> (std::real (z(0))); |
4329 | 1098 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1099 z.resize (dim_vector (lwork, 1)); |
4329 | 1100 Complex *pz = z.fortran_vec (); |
1101 | |
1102 info = 0; | |
1103 | |
4330 | 1104 // Calculate the norm of the matrix, for later use. |
4329 | 1105 double anorm; |
1106 if (calc_cond) | |
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1107 anorm = retval.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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1108 .max (); |
4329 | 1109 |
1110 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
1948 | 1111 |
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1112 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 1113 rcon = 0.0; |
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1114 if (info != 0) |
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1115 info = -1; |
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1116 else if (calc_cond) |
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1117 { |
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1118 // Now calculate the condition number for non-singular matrix. |
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1119 octave_idx_type zgecon_info = 0; |
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1120 char job = '1'; |
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1121 Array<double> rz (dim_vector (2 * nc, 1)); |
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1122 double *prz = rz.fortran_vec (); |
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1123 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1124 nc, tmp_data, nr, anorm, |
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1125 rcon, pz, prz, zgecon_info |
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1126 F77_CHAR_ARG_LEN (1))); |
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1127 |
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1128 if (zgecon_info != 0) |
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1129 info = -1; |
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1130 } |
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1131 |
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1132 if (info == -1 && ! force) |
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1133 retval = *this; // Restore contents. |
1948 | 1134 else |
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1135 { |
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1136 octave_idx_type zgetri_info = 0; |
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1137 |
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1138 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1139 pz, lwork, zgetri_info)); |
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1140 |
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1141 if (zgetri_info != 0) |
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1142 info = -1; |
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1143 } |
6207 | 1144 |
1145 if (info != 0) | |
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1146 mattype.mark_as_rectangular (); |
458 | 1147 } |
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1148 |
1948 | 1149 return retval; |
458 | 1150 } |
1151 | |
1152 ComplexMatrix | |
6207 | 1153 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1154 double& rcon, int force, int calc_cond) const |
6207 | 1155 { |
1156 int typ = mattype.type (false); | |
1157 ComplexMatrix ret; | |
1158 | |
1159 if (typ == MatrixType::Unknown) | |
1160 typ = mattype.type (*this); | |
1161 | |
1162 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
7788 | 1163 ret = tinverse (mattype, info, rcon, force, calc_cond); |
6840 | 1164 else |
6207 | 1165 { |
1166 if (mattype.is_hermitian ()) | |
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1167 { |
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1168 ComplexCHOL chol (*this, info, calc_cond); |
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1169 if (info == 0) |
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1170 { |
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1171 if (calc_cond) |
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1172 rcon = chol.rcond (); |
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1173 else |
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1174 rcon = 1.0; |
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1175 ret = chol.inverse (); |
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1176 } |
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1177 else |
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1178 mattype.mark_as_unsymmetric (); |
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1179 } |
6207 | 1180 |
1181 if (!mattype.is_hermitian ()) | |
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1182 ret = finverse (mattype, info, rcon, force, calc_cond); |
7788 | 1183 |
1184 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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1185 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
6207 | 1186 } |
1187 | |
1188 return ret; | |
1189 } | |
1190 | |
1191 ComplexMatrix | |
4384 | 1192 ComplexMatrix::pseudo_inverse (double tol) const |
740 | 1193 { |
1549 | 1194 ComplexMatrix retval; |
1195 | |
3480 | 1196 ComplexSVD result (*this, SVD::economy); |
740 | 1197 |
1198 DiagMatrix S = result.singular_values (); | |
1199 ComplexMatrix U = result.left_singular_matrix (); | |
1200 ComplexMatrix V = result.right_singular_matrix (); | |
1201 | |
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1202 ColumnVector sigma = S.extract_diag (); |
740 | 1203 |
5275 | 1204 octave_idx_type r = sigma.length () - 1; |
1205 octave_idx_type nr = rows (); | |
1206 octave_idx_type nc = cols (); | |
740 | 1207 |
1208 if (tol <= 0.0) | |
1209 { | |
1210 if (nr > nc) | |
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1211 tol = nr * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 1212 else |
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1213 tol = nc * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 1214 } |
1215 | |
1216 while (r >= 0 && sigma.elem (r) < tol) | |
1217 r--; | |
1218 | |
1219 if (r < 0) | |
1549 | 1220 retval = ComplexMatrix (nc, nr, 0.0); |
740 | 1221 else |
1222 { | |
1223 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
1224 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
1225 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
1549 | 1226 retval = Vr * D * Ur.hermitian (); |
740 | 1227 } |
1549 | 1228 |
1229 return retval; | |
740 | 1230 } |
1231 | |
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1232 #if defined (HAVE_FFTW) |
3827 | 1233 |
1234 ComplexMatrix | |
1235 ComplexMatrix::fourier (void) const | |
1236 { | |
1237 size_t nr = rows (); | |
1238 size_t nc = cols (); | |
1239 | |
1240 ComplexMatrix retval (nr, nc); | |
1241 | |
1242 size_t npts, nsamples; | |
1243 | |
1244 if (nr == 1 || nc == 1) | |
1245 { | |
1246 npts = nr > nc ? nr : nc; | |
1247 nsamples = 1; | |
1248 } | |
1249 else | |
1250 { | |
1251 npts = nr; | |
1252 nsamples = nc; | |
1253 } | |
1254 | |
1255 const Complex *in (data ()); | |
1256 Complex *out (retval.fortran_vec ()); | |
1257 | |
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1258 octave_fftw::fft (in, out, npts, nsamples); |
3827 | 1259 |
1260 return retval; | |
1261 } | |
1262 | |
1263 ComplexMatrix | |
1264 ComplexMatrix::ifourier (void) const | |
1265 { | |
1266 size_t nr = rows (); | |
1267 size_t nc = cols (); | |
1268 | |
1269 ComplexMatrix retval (nr, nc); | |
1270 | |
1271 size_t npts, nsamples; | |
1272 | |
1273 if (nr == 1 || nc == 1) | |
1274 { | |
1275 npts = nr > nc ? nr : nc; | |
1276 nsamples = 1; | |
1277 } | |
1278 else | |
1279 { | |
1280 npts = nr; | |
1281 nsamples = nc; | |
1282 } | |
1283 | |
1284 const Complex *in (data ()); | |
1285 Complex *out (retval.fortran_vec ()); | |
1286 | |
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1287 octave_fftw::ifft (in, out, npts, nsamples); |
3827 | 1288 |
1289 return retval; | |
1290 } | |
1291 | |
1292 ComplexMatrix | |
1293 ComplexMatrix::fourier2d (void) const | |
1294 { | |
4773 | 1295 dim_vector dv(rows (), cols ()); |
1296 | |
1297 ComplexMatrix retval (rows (), cols ()); | |
1298 const Complex *in (data ()); | |
1299 Complex *out (retval.fortran_vec ()); | |
1300 | |
1301 octave_fftw::fftNd (in, out, 2, dv); | |
3827 | 1302 |
1303 return retval; | |
1304 } | |
1305 | |
1306 ComplexMatrix | |
1307 ComplexMatrix::ifourier2d (void) const | |
1308 { | |
4773 | 1309 dim_vector dv(rows (), cols ()); |
1310 | |
1311 ComplexMatrix retval (rows (), cols ()); | |
1312 const Complex *in (data ()); | |
1313 Complex *out (retval.fortran_vec ()); | |
1314 | |
1315 octave_fftw::ifftNd (in, out, 2, dv); | |
3827 | 1316 |
1317 return retval; | |
1318 } | |
1319 | |
1320 #else | |
1321 | |
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1322 extern "C" |
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1323 { |
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1324 // Note that the original complex fft routines were not written for |
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1325 // double complex arguments. They have been modified by adding an |
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1326 // implicit double precision (a-h,o-z) statement at the beginning of |
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1327 // each subroutine. |
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1328 |
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1329 F77_RET_T |
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1330 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1331 |
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1332 F77_RET_T |
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1333 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1334 |
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1335 F77_RET_T |
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1336 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1337 } |
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1338 |
740 | 1339 ComplexMatrix |
458 | 1340 ComplexMatrix::fourier (void) const |
1341 { | |
1948 | 1342 ComplexMatrix retval; |
1343 | |
5275 | 1344 octave_idx_type nr = rows (); |
1345 octave_idx_type nc = cols (); | |
1346 | |
1347 octave_idx_type npts, nsamples; | |
1948 | 1348 |
458 | 1349 if (nr == 1 || nc == 1) |
1350 { | |
1351 npts = nr > nc ? nr : nc; | |
1352 nsamples = 1; | |
1353 } | |
1354 else | |
1355 { | |
1356 npts = nr; | |
1357 nsamples = nc; | |
1358 } | |
1359 | |
5275 | 1360 octave_idx_type nn = 4*npts+15; |
1948 | 1361 |
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1362 Array<Complex> wsave (nn, 1); |
1948 | 1363 Complex *pwsave = wsave.fortran_vec (); |
1364 | |
1365 retval = *this; | |
1366 Complex *tmp_data = retval.fortran_vec (); | |
1367 | |
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1368 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1369 |
5275 | 1370 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1371 { |
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1372 octave_quit (); |
4153 | 1373 |
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1374 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1375 } |
1948 | 1376 |
1377 return retval; | |
458 | 1378 } |
1379 | |
1380 ComplexMatrix | |
1381 ComplexMatrix::ifourier (void) const | |
1382 { | |
1948 | 1383 ComplexMatrix retval; |
1384 | |
5275 | 1385 octave_idx_type nr = rows (); |
1386 octave_idx_type nc = cols (); | |
1387 | |
1388 octave_idx_type npts, nsamples; | |
1948 | 1389 |
458 | 1390 if (nr == 1 || nc == 1) |
1391 { | |
1392 npts = nr > nc ? nr : nc; | |
1393 nsamples = 1; | |
1394 } | |
1395 else | |
1396 { | |
1397 npts = nr; | |
1398 nsamples = nc; | |
1399 } | |
1400 | |
5275 | 1401 octave_idx_type nn = 4*npts+15; |
1948 | 1402 |
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1403 Array<Complex> wsave (nn, 1); |
1948 | 1404 Complex *pwsave = wsave.fortran_vec (); |
1405 | |
1406 retval = *this; | |
1407 Complex *tmp_data = retval.fortran_vec (); | |
1408 | |
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1409 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1410 |
5275 | 1411 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1412 { |
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1413 octave_quit (); |
4153 | 1414 |
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1415 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1416 } |
458 | 1417 |
5275 | 1418 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1419 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
458 | 1420 |
1948 | 1421 return retval; |
458 | 1422 } |
1423 | |
677 | 1424 ComplexMatrix |
1425 ComplexMatrix::fourier2d (void) const | |
1426 { | |
1948 | 1427 ComplexMatrix retval; |
1428 | |
5275 | 1429 octave_idx_type nr = rows (); |
1430 octave_idx_type nc = cols (); | |
1431 | |
1432 octave_idx_type npts, nsamples; | |
1948 | 1433 |
677 | 1434 if (nr == 1 || nc == 1) |
1435 { | |
1436 npts = nr > nc ? nr : nc; | |
1437 nsamples = 1; | |
1438 } | |
1439 else | |
1440 { | |
1441 npts = nr; | |
1442 nsamples = nc; | |
1443 } | |
1444 | |
5275 | 1445 octave_idx_type nn = 4*npts+15; |
1948 | 1446 |
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1447 Array<Complex> wsave (nn, 1); |
1948 | 1448 Complex *pwsave = wsave.fortran_vec (); |
1449 | |
1450 retval = *this; | |
1451 Complex *tmp_data = retval.fortran_vec (); | |
1452 | |
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1453 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1454 |
5275 | 1455 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1456 { |
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1457 octave_quit (); |
4153 | 1458 |
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1459 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1460 } |
677 | 1461 |
1462 npts = nc; | |
1463 nsamples = nr; | |
1464 nn = 4*npts+15; | |
1948 | 1465 |
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1466 wsave.resize (dim_vector (nn, 1)); |
1948 | 1467 pwsave = wsave.fortran_vec (); |
1468 | |
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1469 Array<Complex> tmp (npts, 1); |
4773 | 1470 Complex *prow = tmp.fortran_vec (); |
1948 | 1471 |
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1472 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1473 |
5275 | 1474 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1475 { |
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1476 octave_quit (); |
4153 | 1477 |
5275 | 1478 for (octave_idx_type i = 0; i < npts; i++) |
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1479 prow[i] = tmp_data[i*nr + j]; |
1948 | 1480 |
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1481 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
677 | 1482 |
5275 | 1483 for (octave_idx_type i = 0; i < npts; i++) |
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1484 tmp_data[i*nr + j] = prow[i]; |
677 | 1485 } |
1486 | |
1948 | 1487 return retval; |
677 | 1488 } |
1489 | |
1490 ComplexMatrix | |
1491 ComplexMatrix::ifourier2d (void) const | |
1492 { | |
1948 | 1493 ComplexMatrix retval; |
1494 | |
5275 | 1495 octave_idx_type nr = rows (); |
1496 octave_idx_type nc = cols (); | |
1497 | |
1498 octave_idx_type npts, nsamples; | |
1948 | 1499 |
677 | 1500 if (nr == 1 || nc == 1) |
1501 { | |
1502 npts = nr > nc ? nr : nc; | |
1503 nsamples = 1; | |
1504 } | |
1505 else | |
1506 { | |
1507 npts = nr; | |
1508 nsamples = nc; | |
1509 } | |
1510 | |
5275 | 1511 octave_idx_type nn = 4*npts+15; |
1948 | 1512 |
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1513 Array<Complex> wsave (nn, 1); |
1948 | 1514 Complex *pwsave = wsave.fortran_vec (); |
1515 | |
1516 retval = *this; | |
1517 Complex *tmp_data = retval.fortran_vec (); | |
1518 | |
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1519 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1520 |
5275 | 1521 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1522 { |
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1523 octave_quit (); |
4153 | 1524 |
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1525 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1526 } |
677 | 1527 |
5275 | 1528 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1529 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
677 | 1530 |
1531 npts = nc; | |
1532 nsamples = nr; | |
1533 nn = 4*npts+15; | |
1948 | 1534 |
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1535 wsave.resize (dim_vector (nn, 1)); |
1948 | 1536 pwsave = wsave.fortran_vec (); |
1537 | |
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1538 Array<Complex> tmp (npts, 1); |
4773 | 1539 Complex *prow = tmp.fortran_vec (); |
1948 | 1540 |
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1541 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1542 |
5275 | 1543 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1544 { |
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1545 octave_quit (); |
4153 | 1546 |
5275 | 1547 for (octave_idx_type i = 0; i < npts; i++) |
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1548 prow[i] = tmp_data[i*nr + j]; |
1948 | 1549 |
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1550 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
677 | 1551 |
5275 | 1552 for (octave_idx_type i = 0; i < npts; i++) |
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1553 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
677 | 1554 } |
1555 | |
1948 | 1556 return retval; |
677 | 1557 } |
1558 | |
3827 | 1559 #endif |
1560 | |
458 | 1561 ComplexDET |
1562 ComplexMatrix::determinant (void) const | |
1563 { | |
5275 | 1564 octave_idx_type info; |
7788 | 1565 double rcon; |
1566 return determinant (info, rcon, 0); | |
458 | 1567 } |
1568 | |
1569 ComplexDET | |
5275 | 1570 ComplexMatrix::determinant (octave_idx_type& info) const |
458 | 1571 { |
7788 | 1572 double rcon; |
1573 return determinant (info, rcon, 0); | |
458 | 1574 } |
1575 | |
1576 ComplexDET | |
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1577 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, |
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1578 int calc_cond) const |
458 | 1579 { |
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1580 MatrixType mattype (*this); |
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1581 return determinant (mattype, info, rcon, calc_cond); |
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1582 } |
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1583 |
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1584 ComplexDET |
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1585 ComplexMatrix::determinant (MatrixType& mattype, |
8806 | 1586 octave_idx_type& info, double& rcon, |
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1587 int calc_cond) const |
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1588 { |
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1589 ComplexDET retval (1.0); |
458 | 1590 |
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1591 info = 0; |
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1592 rcon = 0.0; |
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1593 |
5275 | 1594 octave_idx_type nr = rows (); |
1595 octave_idx_type nc = cols (); | |
458 | 1596 |
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1597 if (nr != nc) |
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1598 (*current_liboctave_error_handler) ("matrix must be square"); |
458 | 1599 else |
1600 { | |
8806 | 1601 volatile int typ = mattype.type (); |
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1602 |
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1603 // Even though the matrix is marked as singular (Rectangular), we may |
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1604 // still get a useful number from the LU factorization, because it always |
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1605 // completes. |
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1606 |
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1607 if (typ == MatrixType::Unknown) |
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1608 typ = mattype.type (*this); |
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1609 else if (typ == MatrixType::Rectangular) |
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1610 typ = MatrixType::Full; |
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1611 |
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1612 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1613 { |
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1614 for (octave_idx_type i = 0; i < nc; i++) |
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1615 retval *= elem (i,i); |
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1616 } |
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1617 else if (typ == MatrixType::Hermitian) |
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1618 { |
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1619 ComplexMatrix atmp = *this; |
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|
1620 Complex *tmp_data = atmp.fortran_vec (); |
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1621 |
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1622 double anorm = 0; |
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|
1623 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1624 |
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|
1625 |
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|
1626 char job = 'L'; |
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|
1627 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
8336
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|
1628 tmp_data, nr, info |
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|
1629 F77_CHAR_ARG_LEN (1))); |
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|
1630 |
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|
1631 if (info != 0) |
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|
1632 { |
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|
1633 rcon = 0.0; |
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|
1634 mattype.mark_as_unsymmetric (); |
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|
1635 typ = MatrixType::Full; |
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|
1636 } |
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|
1637 else |
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|
1638 { |
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|
1639 Array<Complex> z (dim_vector (2 * nc, 1)); |
8336
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|
1640 Complex *pz = z.fortran_vec (); |
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|
1641 Array<double> rz (dim_vector (nc, 1)); |
8336
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|
1642 double *prz = rz.fortran_vec (); |
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1643 |
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1644 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1645 nr, tmp_data, nr, anorm, |
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1646 rcon, pz, prz, info |
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|
1647 F77_CHAR_ARG_LEN (1))); |
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1648 |
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|
1649 if (info != 0) |
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|
1650 rcon = 0.0; |
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|
1651 |
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|
1652 for (octave_idx_type i = 0; i < nc; i++) |
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reuse matrix type detected in det
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|
1653 retval *= atmp (i,i); |
8336
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1654 |
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|
1655 retval = retval.square (); |
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|
1656 } |
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|
1657 } |
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1658 else if (typ != MatrixType::Full) |
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|
1659 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1660 |
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|
1661 if (typ == MatrixType::Full) |
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|
1662 { |
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|
1663 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
8336
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|
1664 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1665 |
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|
1666 ComplexMatrix atmp = *this; |
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|
1667 Complex *tmp_data = atmp.fortran_vec (); |
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1668 |
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|
1669 info = 0; |
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|
1670 |
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|
1671 // Calculate the norm of the matrix, for later use. |
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|
1672 double anorm = 0; |
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|
1673 if (calc_cond) anorm = xnorm (*this, 1); |
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1674 |
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|
1675 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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|
1676 |
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|
1677 // Throw-away extra info LAPACK gives so as to not change output. |
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|
1678 rcon = 0.0; |
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|
1679 if (info != 0) |
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|
1680 { |
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|
1681 info = -1; |
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|
1682 retval = ComplexDET (); |
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|
1683 } |
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|
1684 else |
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|
1685 { |
11586
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|
1686 if (calc_cond) |
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|
1687 { |
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|
1688 // Now calc the condition number for non-singular matrix. |
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|
1689 char job = '1'; |
11570
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|
1690 Array<Complex> z (dim_vector (2 * nc, 1)); |
8336
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|
1691 Complex *pz = z.fortran_vec (); |
11570
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|
1692 Array<double> rz (dim_vector (2 * nc, 1)); |
8336
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|
1693 double *prz = rz.fortran_vec (); |
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|
1694 |
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|
1695 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
11586
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|
1696 nc, tmp_data, nr, anorm, |
8336
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|
1697 rcon, pz, prz, info |
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changeset
|
1698 F77_CHAR_ARG_LEN (1))); |
8335 | 1699 } |
8336
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|
1700 |
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|
1701 if (info != 0) |
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|
1702 { |
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changeset
|
1703 info = -1; |
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|
1704 retval = ComplexDET (); |
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|
1705 } |
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changeset
|
1706 else |
8336
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|
1707 { |
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changeset
|
1708 for (octave_idx_type i = 0; i < nc; i++) |
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|
1709 { |
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changeset
|
1710 Complex c = atmp(i,i); |
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|
1711 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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|
1712 } |
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|
1713 } |
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|
1714 } |
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|
1715 } |
458 | 1716 } |
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|
1717 |
458 | 1718 return retval; |
1719 } | |
1720 | |
7788 | 1721 double |
1722 ComplexMatrix::rcond (void) const | |
1723 { | |
1724 MatrixType mattype (*this); | |
1725 return rcond (mattype); | |
1726 } | |
1727 | |
1728 double | |
1729 ComplexMatrix::rcond (MatrixType &mattype) const | |
1730 { | |
18780
cb37b17b6091
Initialize rcond value to octave_NaN.
PrasannaKumar Muralidharan <prasannatsmkumar@gmail.com>
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18084
diff
changeset
|
1731 double rcon = octave_NaN; |
7788 | 1732 octave_idx_type nr = rows (); |
1733 octave_idx_type nc = cols (); | |
1734 | |
1735 if (nr != nc) | |
1736 (*current_liboctave_error_handler) ("matrix must be square"); | |
1737 else if (nr == 0 || nc == 0) | |
1738 rcon = octave_Inf; | |
1739 else | |
1740 { | |
16300
23c5f90f92cd
eliminate some variable might be clobbered by 'longjmp' or 'vfork' warnings
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15448
diff
changeset
|
1741 volatile int typ = mattype.type (); |
7788 | 1742 |
1743 if (typ == MatrixType::Unknown) | |
10314
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untabify liboctave C++ sources
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|
1744 typ = mattype.type (*this); |
7788 | 1745 |
1746 // Only calculate the condition number for LU/Cholesky | |
1747 if (typ == MatrixType::Upper) | |
10314
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|
1748 { |
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changeset
|
1749 const Complex *tmp_data = fortran_vec (); |
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changeset
|
1750 octave_idx_type info = 0; |
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changeset
|
1751 char norm = '1'; |
07ebe522dac2
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changeset
|
1752 char uplo = 'U'; |
07ebe522dac2
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changeset
|
1753 char dia = 'N'; |
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|
1754 |
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changeset
|
1755 Array<Complex> z (dim_vector (2 * nc, 1)); |
10314
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changeset
|
1756 Complex *pz = z.fortran_vec (); |
11570
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changeset
|
1757 Array<double> rz (dim_vector (nc, 1)); |
10314
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changeset
|
1758 double *prz = rz.fortran_vec (); |
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changeset
|
1759 |
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changeset
|
1760 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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|
1761 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
1762 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
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changeset
|
1763 nr, tmp_data, nr, rcon, |
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changeset
|
1764 pz, prz, info |
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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 F77_CHAR_ARG_LEN (1))); |
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1768 |
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1769 if (info != 0) |
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|
1770 rcon = 0; |
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1771 } |
7788 | 1772 else if (typ == MatrixType::Permuted_Upper) |
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|
1773 (*current_liboctave_error_handler) |
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1774 ("permuted triangular matrix not implemented"); |
7788 | 1775 else if (typ == MatrixType::Lower) |
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1776 { |
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1777 const Complex *tmp_data = fortran_vec (); |
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1778 octave_idx_type info = 0; |
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1779 char norm = '1'; |
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1780 char uplo = 'L'; |
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1781 char dia = 'N'; |
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1782 |
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1783 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1784 Complex *pz = z.fortran_vec (); |
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1785 Array<double> rz (dim_vector (nc, 1)); |
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1786 double *prz = rz.fortran_vec (); |
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1787 |
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1788 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1789 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1790 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1791 nr, tmp_data, nr, rcon, |
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1792 pz, prz, info |
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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 F77_CHAR_ARG_LEN (1))); |
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1796 |
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1797 if (info != 0) |
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1798 rcon = 0.0; |
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1799 } |
7788 | 1800 else if (typ == MatrixType::Permuted_Lower) |
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1801 (*current_liboctave_error_handler) |
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|
1802 ("permuted triangular matrix not implemented"); |
7788 | 1803 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
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1804 { |
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1805 double anorm = -1.0; |
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|
1806 |
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1807 if (typ == MatrixType::Hermitian) |
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1808 { |
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1809 octave_idx_type info = 0; |
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1810 char job = 'L'; |
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1811 |
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1812 ComplexMatrix atmp = *this; |
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1813 Complex *tmp_data = atmp.fortran_vec (); |
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1814 |
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1815 anorm = atmp.abs().sum(). |
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1816 row(static_cast<octave_idx_type>(0)).max(); |
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1817 |
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1818 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1819 tmp_data, nr, info |
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|
1820 F77_CHAR_ARG_LEN (1))); |
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1821 |
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1822 if (info != 0) |
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1823 { |
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1824 rcon = 0.0; |
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1825 |
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1826 mattype.mark_as_unsymmetric (); |
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1827 typ = MatrixType::Full; |
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1828 } |
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1829 else |
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1830 { |
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1831 Array<Complex> z (dim_vector (2 * nc, 1)); |
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|
1832 Complex *pz = z.fortran_vec (); |
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1833 Array<double> rz (dim_vector (nc, 1)); |
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|
1834 double *prz = rz.fortran_vec (); |
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|
1835 |
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1836 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1837 nr, tmp_data, nr, anorm, |
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1838 rcon, pz, prz, info |
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|
1839 F77_CHAR_ARG_LEN (1))); |
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1840 |
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1841 if (info != 0) |
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1842 rcon = 0.0; |
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|
1843 } |
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1844 } |
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1845 |
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|
1846 |
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1847 if (typ == MatrixType::Full) |
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1848 { |
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1849 octave_idx_type info = 0; |
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1850 |
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|
1851 ComplexMatrix atmp = *this; |
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|
1852 Complex *tmp_data = atmp.fortran_vec (); |
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1853 |
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1854 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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1855 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1856 |
15018
3d8ace26c5b4
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Rik <rik@octave.org>
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|
1857 if (anorm < 0.) |
14846
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|
1858 anorm = atmp.abs ().sum (). |
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1859 row(static_cast<octave_idx_type>(0)).max (); |
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|
1860 |
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|
1861 Array<Complex> z (dim_vector (2 * nc, 1)); |
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|
1862 Complex *pz = z.fortran_vec (); |
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1863 Array<double> rz (dim_vector (2 * nc, 1)); |
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1864 double *prz = rz.fortran_vec (); |
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1865 |
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1866 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1867 |
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1868 if (info != 0) |
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1869 { |
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|
1870 rcon = 0.0; |
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1871 mattype.mark_as_rectangular (); |
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1872 } |
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|
1873 else |
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1874 { |
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1875 char job = '1'; |
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|
1876 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1877 nc, tmp_data, nr, anorm, |
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|
1878 rcon, pz, prz, info |
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|
1879 F77_CHAR_ARG_LEN (1))); |
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1880 |
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1881 if (info != 0) |
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|
1882 rcon = 0.0; |
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|
1883 } |
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|
1884 } |
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1885 } |
7788 | 1886 else |
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1887 rcon = 0.0; |
7788 | 1888 } |
1889 | |
1890 return rcon; | |
1891 } | |
1892 | |
458 | 1893 ComplexMatrix |
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1894 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1895 octave_idx_type& info, double& rcon, |
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1896 solve_singularity_handler sing_handler, |
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1897 bool calc_cond, blas_trans_type transt) const |
5785 | 1898 { |
1899 ComplexMatrix retval; | |
1900 | |
1901 octave_idx_type nr = rows (); | |
1902 octave_idx_type nc = cols (); | |
1903 | |
6924 | 1904 if (nr != b.rows ()) |
5785 | 1905 (*current_liboctave_error_handler) |
1906 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1907 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1908 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 1909 else |
1910 { | |
1911 volatile int typ = mattype.type (); | |
1912 | |
1913 if (typ == MatrixType::Permuted_Upper || | |
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1914 typ == MatrixType::Upper) |
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1915 { |
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1916 octave_idx_type b_nc = b.cols (); |
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1917 rcon = 1.; |
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1918 info = 0; |
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1919 |
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1920 if (typ == MatrixType::Permuted_Upper) |
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1921 { |
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1922 (*current_liboctave_error_handler) |
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1923 ("permuted triangular matrix not implemented"); |
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1924 } |
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1925 else |
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1926 { |
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1927 const Complex *tmp_data = fortran_vec (); |
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1928 |
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1929 if (calc_cond) |
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1930 { |
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1931 char norm = '1'; |
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1932 char uplo = 'U'; |
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1933 char dia = 'N'; |
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1934 |
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1935 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1936 Complex *pz = z.fortran_vec (); |
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1937 Array<double> rz (dim_vector (nc, 1)); |
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1938 double *prz = rz.fortran_vec (); |
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1939 |
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1940 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1941 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1942 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1943 nr, tmp_data, nr, rcon, |
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1944 pz, prz, info |
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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 F77_CHAR_ARG_LEN (1))); |
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1948 |
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1949 if (info != 0) |
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1950 info = -2; |
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1951 |
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1952 volatile double rcond_plus_one = rcon + 1.0; |
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1953 |
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1954 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1955 { |
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1956 info = -2; |
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1957 |
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1958 if (sing_handler) |
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1959 sing_handler (rcon); |
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1960 else |
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1961 (*current_liboctave_error_handler) |
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1962 ("matrix singular to machine precision, rcond = %g", |
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1963 rcon); |
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1964 } |
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1965 } |
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1966 |
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1967 if (info == 0) |
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1968 { |
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1969 retval = b; |
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1970 Complex *result = retval.fortran_vec (); |
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1971 |
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1972 char uplo = 'U'; |
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1973 char trans = get_blas_char (transt); |
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1974 char dia = 'N'; |
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1975 |
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1976 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1977 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1978 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1979 nr, b_nc, tmp_data, nr, |
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1980 result, nr, info |
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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 F77_CHAR_ARG_LEN (1))); |
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1984 } |
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1985 } |
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1986 } |
5785 | 1987 else |
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1988 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1989 } |
1990 | |
1991 return retval; | |
1992 } | |
1993 | |
1994 ComplexMatrix | |
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1995 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1996 octave_idx_type& info, double& rcon, |
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1997 solve_singularity_handler sing_handler, |
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1998 bool calc_cond, blas_trans_type transt) const |
5785 | 1999 { |
2000 ComplexMatrix retval; | |
2001 | |
2002 octave_idx_type nr = rows (); | |
2003 octave_idx_type nc = cols (); | |
2004 | |
6924 | 2005 if (nr != b.rows ()) |
5785 | 2006 (*current_liboctave_error_handler) |
2007 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2008 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2009 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2010 else |
2011 { | |
2012 volatile int typ = mattype.type (); | |
2013 | |
2014 if (typ == MatrixType::Permuted_Lower || | |
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2015 typ == MatrixType::Lower) |
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2016 { |
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2017 octave_idx_type b_nc = b.cols (); |
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2018 rcon = 1.; |
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2019 info = 0; |
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2020 |
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2021 if (typ == MatrixType::Permuted_Lower) |
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2022 { |
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2023 (*current_liboctave_error_handler) |
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2024 ("permuted triangular matrix not implemented"); |
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2025 } |
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2026 else |
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2027 { |
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2028 const Complex *tmp_data = fortran_vec (); |
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2029 |
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2030 if (calc_cond) |
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2031 { |
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2032 char norm = '1'; |
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2033 char uplo = 'L'; |
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2034 char dia = 'N'; |
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2035 |
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2036 Array<Complex> z (dim_vector (2 * nc, 1)); |
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2037 Complex *pz = z.fortran_vec (); |
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2038 Array<double> rz (dim_vector (nc, 1)); |
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2039 double *prz = rz.fortran_vec (); |
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2040 |
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2041 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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2042 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2043 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2044 nr, tmp_data, nr, rcon, |
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|
2045 pz, prz, info |
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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 F77_CHAR_ARG_LEN (1))); |
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2049 |
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2050 if (info != 0) |
10314
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|
2051 info = -2; |
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|
2052 |
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|
2053 volatile double rcond_plus_one = rcon + 1.0; |
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|
2054 |
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|
2055 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
2056 { |
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|
2057 info = -2; |
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|
2058 |
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|
2059 if (sing_handler) |
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|
2060 sing_handler (rcon); |
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|
2061 else |
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|
2062 (*current_liboctave_error_handler) |
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|
2063 ("matrix singular to machine precision, rcond = %g", |
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|
2064 rcon); |
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|
2065 } |
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|
2066 } |
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|
2067 |
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2068 if (info == 0) |
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|
2069 { |
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|
2070 retval = b; |
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|
2071 Complex *result = retval.fortran_vec (); |
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2072 |
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2073 char uplo = 'L'; |
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2074 char trans = get_blas_char (transt); |
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untabify liboctave C++ sources
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|
2075 char dia = 'N'; |
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|
2076 |
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|
2077 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
12df7854fa7c
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|
2078 F77_CONST_CHAR_ARG2 (&trans, 1), |
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|
2079 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
07ebe522dac2
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|
2080 nr, b_nc, tmp_data, nr, |
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|
2081 result, nr, info |
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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 F77_CHAR_ARG_LEN (1))); |
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|
2085 } |
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|
2086 } |
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|
2087 } |
5785 | 2088 else |
10314
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|
2089 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 2090 } |
2091 | |
2092 return retval; | |
2093 } | |
2094 | |
2095 ComplexMatrix | |
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|
2096 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
2097 octave_idx_type& info, double& rcon, |
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|
2098 solve_singularity_handler sing_handler, |
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|
2099 bool calc_cond) const |
5785 | 2100 { |
2101 ComplexMatrix retval; | |
2102 | |
2103 octave_idx_type nr = rows (); | |
2104 octave_idx_type nc = cols (); | |
2105 | |
6924 | 2106 |
2107 if (nr != nc || nr != b.rows ()) | |
5785 | 2108 (*current_liboctave_error_handler) |
6924 | 2109 ("matrix dimension mismatch solution of linear equations"); |
2110 else if (nr == 0 || b.cols () == 0) | |
2111 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5785 | 2112 else |
2113 { | |
2114 volatile int typ = mattype.type (); | |
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|
2115 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2116 // Calculate the norm of the matrix, for later use. |
5785 | 2117 double anorm = -1.; |
2118 | |
2119 if (typ == MatrixType::Hermitian) | |
10314
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|
2120 { |
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|
2121 info = 0; |
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|
2122 char job = 'L'; |
15382
197774b411ec
rcond: use new copy of data for full factorization if positive definite cholesky factorization fails (bug #37336)
John W. Eaton <jwe@octave.org>
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14138
diff
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|
2123 |
10314
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|
2124 ComplexMatrix atmp = *this; |
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|
2125 Complex *tmp_data = atmp.fortran_vec (); |
15382
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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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|
2126 |
10314
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|
2127 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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|
2128 |
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|
2129 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
10314
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|
2130 tmp_data, nr, info |
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|
2131 F77_CHAR_ARG_LEN (1))); |
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|
2132 |
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|
2133 // Throw-away extra info LAPACK gives so as to not change output. |
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|
2134 rcon = 0.0; |
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|
2135 if (info != 0) |
10314
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|
2136 { |
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changeset
|
2137 info = -2; |
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changeset
|
2138 |
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|
2139 mattype.mark_as_unsymmetric (); |
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2140 typ = MatrixType::Full; |
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|
2141 } |
11586
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diff
changeset
|
2142 else |
10314
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changeset
|
2143 { |
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changeset
|
2144 if (calc_cond) |
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|
2145 { |
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2146 Array<Complex> z (dim_vector (2 * nc, 1)); |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
2147 Complex *pz = z.fortran_vec (); |
11570
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attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
2148 Array<double> rz (dim_vector (nc, 1)); |
10314
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untabify liboctave C++ sources
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|
2149 double *prz = rz.fortran_vec (); |
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|
2150 |
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changeset
|
2151 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2152 nr, tmp_data, nr, anorm, |
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untabify liboctave C++ sources
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changeset
|
2153 rcon, pz, prz, info |
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|
2154 F77_CHAR_ARG_LEN (1))); |
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|
2155 |
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changeset
|
2156 if (info != 0) |
10314
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changeset
|
2157 info = -2; |
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changeset
|
2158 |
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changeset
|
2159 volatile double rcond_plus_one = rcon + 1.0; |
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|
2160 |
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|
2161 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
2162 { |
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changeset
|
2163 info = -2; |
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changeset
|
2164 |
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|
2165 if (sing_handler) |
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|
2166 sing_handler (rcon); |
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changeset
|
2167 else |
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changeset
|
2168 (*current_liboctave_error_handler) |
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changeset
|
2169 ("matrix singular to machine precision, rcond = %g", |
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changeset
|
2170 rcon); |
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changeset
|
2171 } |
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changeset
|
2172 } |
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changeset
|
2173 |
07ebe522dac2
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changeset
|
2174 if (info == 0) |
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changeset
|
2175 { |
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changeset
|
2176 retval = b; |
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changeset
|
2177 Complex *result = retval.fortran_vec (); |
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changeset
|
2178 |
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changeset
|
2179 octave_idx_type b_nc = b.cols (); |
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changeset
|
2180 |
07ebe522dac2
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changeset
|
2181 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2182 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
|
2183 result, b.rows (), info |
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2184 F77_CHAR_ARG_LEN (1))); |
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changeset
|
2185 } |
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changeset
|
2186 else |
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|
2187 { |
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|
2188 mattype.mark_as_unsymmetric (); |
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2189 typ = MatrixType::Full; |
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|
2190 } |
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|
2191 } |
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2192 } |
5785 | 2193 |
2194 if (typ == MatrixType::Full) | |
10314
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|
2195 { |
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|
2196 info = 0; |
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|
2197 |
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|
2198 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
10314
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2199 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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2200 |
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2201 ComplexMatrix atmp = *this; |
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2202 Complex *tmp_data = atmp.fortran_vec (); |
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2203 |
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2204 Array<Complex> z (dim_vector (2 * nc, 1)); |
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2205 Complex *pz = z.fortran_vec (); |
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2206 Array<double> rz (dim_vector (2 * nc, 1)); |
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|
2207 double *prz = rz.fortran_vec (); |
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2208 |
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|
2209 // Calculate the norm of the matrix, for later use. |
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2210 if (anorm < 0.) |
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2211 anorm = atmp.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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|
2212 .max (); |
10314
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|
2213 |
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|
2214 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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|
2215 |
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|
2216 // Throw-away extra info LAPACK gives so as to not change output. |
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|
2217 rcon = 0.0; |
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2218 if (info != 0) |
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|
2219 { |
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|
2220 info = -2; |
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|
2221 |
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|
2222 if (sing_handler) |
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|
2223 sing_handler (rcon); |
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|
2224 else |
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|
2225 (*current_liboctave_error_handler) |
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2226 ("matrix singular to machine precision"); |
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|
2227 |
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|
2228 mattype.mark_as_rectangular (); |
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2229 } |
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|
2230 else |
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|
2231 { |
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|
2232 if (calc_cond) |
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2233 { |
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|
2234 // Now calculate the condition number for |
10314
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2235 // non-singular matrix. |
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|
2236 char job = '1'; |
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|
2237 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
2238 nc, tmp_data, nr, anorm, |
10314
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|
2239 rcon, pz, prz, info |
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|
2240 F77_CHAR_ARG_LEN (1))); |
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|
2241 |
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|
2242 if (info != 0) |
10314
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|
2243 info = -2; |
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|
2244 |
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|
2245 volatile double rcond_plus_one = rcon + 1.0; |
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|
2246 |
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|
2247 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
2248 { |
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|
2249 info = -2; |
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changeset
|
2250 |
07ebe522dac2
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|
2251 if (sing_handler) |
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untabify liboctave C++ sources
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|
2252 sing_handler (rcon); |
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|
2253 else |
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changeset
|
2254 (*current_liboctave_error_handler) |
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untabify liboctave C++ sources
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|
2255 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
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diff
changeset
|
2256 rcon); |
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10213
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changeset
|
2257 } |
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changeset
|
2258 } |
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changeset
|
2259 |
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changeset
|
2260 if (info == 0) |
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diff
changeset
|
2261 { |
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10213
diff
changeset
|
2262 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
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10213
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changeset
|
2263 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2264 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2265 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2266 |
07ebe522dac2
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diff
changeset
|
2267 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2268 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2269 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
|
2270 pipvt, result, b.rows (), info |
11586
12df7854fa7c
strip trailing whitespace from source files
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11574
diff
changeset
|
2271 F77_CHAR_ARG_LEN (1))); |
10314
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10213
diff
changeset
|
2272 } |
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10213
diff
changeset
|
2273 else |
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
2274 mattype.mark_as_rectangular (); |
10314
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changeset
|
2275 } |
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changeset
|
2276 } |
5785 | 2277 } |
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strip trailing whitespace from source files
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diff
changeset
|
2278 |
5785 | 2279 return retval; |
2280 } | |
2281 | |
2282 ComplexMatrix | |
2283 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
2284 { | |
2285 octave_idx_type info; | |
7788 | 2286 double rcon; |
2287 return solve (typ, b, info, rcon, 0); | |
5785 | 2288 } |
2289 | |
2290 ComplexMatrix | |
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changeset
|
2291 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, |
10314
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|
2292 octave_idx_type& info) const |
5785 | 2293 { |
7788 | 2294 double rcon; |
2295 return solve (typ, b, info, rcon, 0); | |
5785 | 2296 } |
2297 | |
2298 ComplexMatrix | |
2299 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
10314
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untabify liboctave C++ sources
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|
2300 double& rcon) const |
5785 | 2301 { |
7788 | 2302 return solve (typ, b, info, rcon, 0); |
5785 | 2303 } |
2304 | |
2305 ComplexMatrix | |
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|
2306 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
10314
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changeset
|
2307 double& rcon, solve_singularity_handler sing_handler, |
07ebe522dac2
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changeset
|
2308 bool singular_fallback, blas_trans_type transt) const |
5785 | 2309 { |
2310 ComplexMatrix tmp (b); | |
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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9658
diff
changeset
|
2311 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
5785 | 2312 } |
2313 | |
2314 ComplexMatrix | |
2315 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
2316 { | |
2317 octave_idx_type info; | |
7788 | 2318 double rcon; |
2319 return solve (typ, b, info, rcon, 0); | |
5785 | 2320 } |
2321 | |
2322 ComplexMatrix | |
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changeset
|
2323 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
10314
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|
2324 octave_idx_type& info) const |
5785 | 2325 { |
7788 | 2326 double rcon; |
2327 return solve (typ, b, info, rcon, 0); | |
5785 | 2328 } |
2329 | |
2330 ComplexMatrix | |
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changeset
|
2331 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
10314
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changeset
|
2332 octave_idx_type& info, double& rcon) const |
5785 | 2333 { |
7788 | 2334 return solve (typ, b, info, rcon, 0); |
5785 | 2335 } |
2336 | |
2337 ComplexMatrix | |
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|
2338 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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changeset
|
2339 octave_idx_type& info, double& rcon, |
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changeset
|
2340 solve_singularity_handler sing_handler, |
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|
2341 bool singular_fallback, blas_trans_type transt) const |
5785 | 2342 { |
2343 ComplexMatrix retval; | |
2344 int typ = mattype.type (); | |
2345 | |
2346 if (typ == MatrixType::Unknown) | |
2347 typ = mattype.type (*this); | |
2348 | |
2349 // Only calculate the condition number for LU/Cholesky | |
2350 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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changeset
|
2351 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
5785 | 2352 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2353 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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changeset
|
2354 else if (transt == blas_trans) |
17769
49a5a4be04a1
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Rik <rik@octave.org>
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17744
diff
changeset
|
2355 return transpose ().solve (mattype, b, info, rcon, sing_handler, |
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2356 singular_fallback); |
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2357 else if (transt == blas_conj_trans) |
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2358 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, |
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2359 singular_fallback); |
5785 | 2360 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
7788 | 2361 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
5785 | 2362 else if (typ != MatrixType::Rectangular) |
2363 { | |
2364 (*current_liboctave_error_handler) ("unknown matrix type"); | |
2365 return ComplexMatrix (); | |
2366 } | |
2367 | |
2368 // Rectangular or one of the above solvers flags a singular matrix | |
2369 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
2370 { | |
2371 octave_idx_type rank; | |
7788 | 2372 retval = lssolve (b, info, rank, rcon); |
5785 | 2373 } |
2374 | |
2375 return retval; | |
2376 } | |
2377 | |
2378 ComplexColumnVector | |
2379 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
2380 { | |
2381 octave_idx_type info; | |
7788 | 2382 double rcon; |
2383 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2384 } |
2385 | |
2386 ComplexColumnVector | |
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2387 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2388 octave_idx_type& info) const |
5785 | 2389 { |
7788 | 2390 double rcon; |
2391 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
5785 | 2392 } |
2393 | |
2394 ComplexColumnVector | |
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2395 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2396 octave_idx_type& info, double& rcon) const |
5785 | 2397 { |
7788 | 2398 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
5785 | 2399 } |
2400 | |
2401 ComplexColumnVector | |
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2402 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2403 octave_idx_type& info, double& rcon, |
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2404 solve_singularity_handler sing_handler, |
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2405 blas_trans_type transt) const |
5785 | 2406 { |
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2407 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
5785 | 2408 } |
2409 | |
2410 ComplexColumnVector | |
2411 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
2412 { | |
2413 octave_idx_type info; | |
7788 | 2414 double rcon; |
2415 return solve (typ, b, info, rcon, 0); | |
5785 | 2416 } |
2417 | |
2418 ComplexColumnVector | |
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2419 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2420 octave_idx_type& info) const |
5785 | 2421 { |
7788 | 2422 double rcon; |
2423 return solve (typ, b, info, rcon, 0); | |
5785 | 2424 } |
2425 | |
2426 ComplexColumnVector | |
2427 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2428 octave_idx_type& info, double& rcon) const |
5785 | 2429 { |
7788 | 2430 return solve (typ, b, info, rcon, 0); |
5785 | 2431 } |
2432 | |
2433 ComplexColumnVector | |
2434 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2435 octave_idx_type& info, double& rcon, |
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2436 solve_singularity_handler sing_handler, |
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2437 blas_trans_type transt) const |
5785 | 2438 { |
2439 | |
2440 ComplexMatrix tmp (b); | |
10352 | 2441 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
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2442 return tmp.column (static_cast<octave_idx_type> (0)); |
5785 | 2443 } |
2444 | |
2445 ComplexMatrix | |
458 | 2446 ComplexMatrix::solve (const Matrix& b) const |
2447 { | |
5275 | 2448 octave_idx_type info; |
7788 | 2449 double rcon; |
2450 return solve (b, info, rcon, 0); | |
458 | 2451 } |
2452 | |
2453 ComplexMatrix | |
5275 | 2454 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
458 | 2455 { |
7788 | 2456 double rcon; |
2457 return solve (b, info, rcon, 0); | |
458 | 2458 } |
2459 | |
2460 ComplexMatrix | |
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2461 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, |
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2462 double& rcon) const |
458 | 2463 { |
7788 | 2464 return solve (b, info, rcon, 0); |
3480 | 2465 } |
2466 | |
2467 ComplexMatrix | |
7788 | 2468 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2469 solve_singularity_handler sing_handler, |
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2470 blas_trans_type transt) const |
3480 | 2471 { |
458 | 2472 ComplexMatrix tmp (b); |
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2473 return solve (tmp, info, rcon, sing_handler, transt); |
458 | 2474 } |
2475 | |
2476 ComplexMatrix | |
2477 ComplexMatrix::solve (const ComplexMatrix& b) const | |
2478 { | |
5275 | 2479 octave_idx_type info; |
7788 | 2480 double rcon; |
2481 return solve (b, info, rcon, 0); | |
458 | 2482 } |
2483 | |
2484 ComplexMatrix | |
5275 | 2485 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2486 { |
7788 | 2487 double rcon; |
2488 return solve (b, info, rcon, 0); | |
458 | 2489 } |
3480 | 2490 |
458 | 2491 ComplexMatrix |
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2492 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2493 double& rcon) const |
458 | 2494 { |
7788 | 2495 return solve (b, info, rcon, 0); |
3480 | 2496 } |
2497 | |
2498 ComplexMatrix | |
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2499 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2500 double& rcon, |
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2501 solve_singularity_handler sing_handler, |
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2502 blas_trans_type transt) const |
3480 | 2503 { |
5785 | 2504 MatrixType mattype (*this); |
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2505 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
458 | 2506 } |
2507 | |
2508 ComplexColumnVector | |
3585 | 2509 ComplexMatrix::solve (const ColumnVector& b) const |
2510 { | |
5275 | 2511 octave_idx_type info; |
7788 | 2512 double rcon; |
2513 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2514 } |
2515 | |
2516 ComplexColumnVector | |
5275 | 2517 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2518 { |
7788 | 2519 double rcon; |
2520 return solve (ComplexColumnVector (b), info, rcon, 0); | |
3585 | 2521 } |
2522 | |
2523 ComplexColumnVector | |
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2524 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2525 double& rcon) const |
3585 | 2526 { |
7788 | 2527 return solve (ComplexColumnVector (b), info, rcon, 0); |
3585 | 2528 } |
2529 | |
2530 ComplexColumnVector | |
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2531 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2532 double& rcon, |
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2533 solve_singularity_handler sing_handler, |
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2534 blas_trans_type transt) const |
3585 | 2535 { |
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2536 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
3585 | 2537 } |
2538 | |
2539 ComplexColumnVector | |
458 | 2540 ComplexMatrix::solve (const ComplexColumnVector& b) const |
2541 { | |
5275 | 2542 octave_idx_type info; |
7788 | 2543 double rcon; |
2544 return solve (b, info, rcon, 0); | |
458 | 2545 } |
2546 | |
2547 ComplexColumnVector | |
5275 | 2548 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2549 { |
7788 | 2550 double rcon; |
2551 return solve (b, info, rcon, 0); | |
458 | 2552 } |
2553 | |
2554 ComplexColumnVector | |
5275 | 2555 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2556 double& rcon) const |
458 | 2557 { |
7788 | 2558 return solve (b, info, rcon, 0); |
3480 | 2559 } |
2560 | |
2561 ComplexColumnVector | |
5275 | 2562 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2563 double& rcon, |
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2564 solve_singularity_handler sing_handler, |
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2565 blas_trans_type transt) const |
3480 | 2566 { |
5785 | 2567 MatrixType mattype (*this); |
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2568 return solve (mattype, b, info, rcon, sing_handler, transt); |
458 | 2569 } |
2570 | |
2571 ComplexMatrix | |
3585 | 2572 ComplexMatrix::lssolve (const Matrix& b) const |
2573 { | |
5275 | 2574 octave_idx_type info; |
2575 octave_idx_type rank; | |
7788 | 2576 double rcon; |
2577 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2578 } |
2579 | |
2580 ComplexMatrix | |
5275 | 2581 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
3585 | 2582 { |
5275 | 2583 octave_idx_type rank; |
7788 | 2584 double rcon; |
2585 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
3585 | 2586 } |
2587 | |
2588 ComplexMatrix | |
7076 | 2589 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
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2590 octave_idx_type& rank) const |
3585 | 2591 { |
7788 | 2592 double rcon; |
2593 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
7076 | 2594 } |
2595 | |
2596 ComplexMatrix | |
2597 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2598 octave_idx_type& rank, double& rcon) const |
7076 | 2599 { |
7788 | 2600 return lssolve (ComplexMatrix (b), info, rank, rcon); |
3585 | 2601 } |
2602 | |
2603 ComplexMatrix | |
458 | 2604 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
2605 { | |
5275 | 2606 octave_idx_type info; |
2607 octave_idx_type rank; | |
7788 | 2608 double rcon; |
2609 return lssolve (b, info, rank, rcon); | |
458 | 2610 } |
2611 | |
2612 ComplexMatrix | |
5275 | 2613 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2614 { |
5275 | 2615 octave_idx_type rank; |
7788 | 2616 double rcon; |
2617 return lssolve (b, info, rank, rcon); | |
458 | 2618 } |
2619 | |
2620 ComplexMatrix | |
7076 | 2621 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2622 octave_idx_type& rank) const |
7076 | 2623 { |
7788 | 2624 double rcon; |
2625 return lssolve (b, info, rank, rcon); | |
7076 | 2626 } |
2627 | |
2628 ComplexMatrix | |
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2629 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2630 octave_idx_type& rank, double& rcon) const |
458 | 2631 { |
1948 | 2632 ComplexMatrix retval; |
2633 | |
5275 | 2634 octave_idx_type nrhs = b.cols (); |
2635 | |
2636 octave_idx_type m = rows (); | |
2637 octave_idx_type n = cols (); | |
458 | 2638 |
6924 | 2639 if (m != b.rows ()) |
1948 | 2640 (*current_liboctave_error_handler) |
2641 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2642 else if (m== 0 || n == 0 || b.cols () == 0) |
2643 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
1948 | 2644 else |
458 | 2645 { |
7072 | 2646 volatile octave_idx_type minmn = (m < n ? m : n); |
2647 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2648 rcon = -1.0; |
7072 | 2649 |
2650 if (m != n) | |
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2651 { |
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2652 retval = ComplexMatrix (maxmn, nrhs); |
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2653 |
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2654 for (octave_idx_type j = 0; j < nrhs; j++) |
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2655 for (octave_idx_type i = 0; i < m; i++) |
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2656 retval.elem (i, j) = b.elem (i, j); |
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2657 } |
7072 | 2658 else |
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2659 retval = b; |
7072 | 2660 |
1948 | 2661 ComplexMatrix atmp = *this; |
2662 Complex *tmp_data = atmp.fortran_vec (); | |
2663 | |
7072 | 2664 Complex *pretval = retval.fortran_vec (); |
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2665 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2666 double *ps = s.fortran_vec (); |
2563 | 2667 |
7072 | 2668 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2669 octave_idx_type lwork = -1; |
3752 | 2670 |
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2671 Array<Complex> work (dim_vector (1, 1)); |
7079 | 2672 |
7477 | 2673 octave_idx_type smlsiz; |
2674 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
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2675 F77_CONST_CHAR_ARG2 (" ", 1), |
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2676 0, 0, 0, 0, smlsiz |
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2677 F77_CHAR_ARG_LEN (6) |
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2678 F77_CHAR_ARG_LEN (1)); |
7079 | 2679 |
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2680 octave_idx_type mnthr; |
6a6d2abe51ff
more xGELSD workspace fixes
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7482
diff
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|
2681 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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|
2682 F77_CONST_CHAR_ARG2 (" ", 1), |
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2683 m, n, nrhs, -1, mnthr |
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2684 F77_CHAR_ARG_LEN (6) |
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|
2685 F77_CHAR_ARG_LEN (1)); |
7486
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diff
changeset
|
2686 |
7079 | 2687 // We compute the size of rwork and iwork because ZGELSD in |
2688 // older versions of LAPACK does not return them on a query | |
2689 // call. | |
7124 | 2690 double dminmn = static_cast<double> (minmn); |
2691 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
19037
ff4da3c8ed16
use gnulib log2 modules (bug #42583)
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diff
changeset
|
2692 double tmp = xlog2 (dminmn / dsmlsizp1); |
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|
2693 |
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2694 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2695 if (nlvl < 0) |
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|
2696 nlvl = 0; |
7079 | 2697 |
2698 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
17769
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|
2699 + 3*smlsiz*nrhs |
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|
2700 + std::max ((smlsiz+1)*(smlsiz+1), |
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diff
changeset
|
2701 n*(1+nrhs) + 2*nrhs); |
7079 | 2702 if (lrwork < 1) |
10314
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|
2703 lrwork = 1; |
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attempt better backward compatibility for Array constructors
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changeset
|
2704 Array<double> rwork (dim_vector (lrwork, 1)); |
7079 | 2705 double *prwork = rwork.fortran_vec (); |
2706 | |
2707 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2708 if (liwork < 1) | |
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|
2709 liwork = 1; |
11570
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attempt better backward compatibility for Array constructors
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diff
changeset
|
2710 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7079 | 2711 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2712 |
2713 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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changeset
|
2714 ps, rcon, rank, work.fortran_vec (), |
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untabify liboctave C++ sources
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changeset
|
2715 lwork, prwork, piwork, info)); |
1948 | 2716 |
7476 | 2717 // The workspace query is broken in at least LAPACK 3.0.0 |
7488
6470f946a425
another small xGELSD workspace fix
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diff
changeset
|
2718 // 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
|
2719 // should provide sufficient workspace for ZGELSD to operate |
7476 | 2720 // efficiently. |
10813
2c2d4a2f1047
fix workspace bug workaround for xGELSD (since 7486:6a6d2abe51ff)
Jaroslav Hajek <highegg@gmail.com>
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changeset
|
2721 if (n > m && n >= mnthr) |
10314
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changeset
|
2722 { |
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changeset
|
2723 octave_idx_type addend = m; |
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|
2724 |
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|
2725 if (2*m-4 > addend) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2726 addend = 2*m-4; |
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changeset
|
2727 |
07ebe522dac2
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changeset
|
2728 if (nrhs > addend) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2729 addend = nrhs; |
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changeset
|
2730 |
07ebe522dac2
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changeset
|
2731 if (n-3*m > addend) |
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untabify liboctave C++ sources
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changeset
|
2732 addend = n-3*m; |
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changeset
|
2733 |
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changeset
|
2734 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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changeset
|
2735 |
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changeset
|
2736 if (std::real (work(0)) < lworkaround) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2737 work(0) = lworkaround; |
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changeset
|
2738 } |
7532
493bb0de3199
avoid another xGELSD workspace query bug
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7503
diff
changeset
|
2739 else if (m >= n) |
10314
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diff
changeset
|
2740 { |
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changeset
|
2741 octave_idx_type lworkaround = 2*m + m*nrhs; |
07ebe522dac2
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changeset
|
2742 |
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changeset
|
2743 if (std::real (work(0)) < lworkaround) |
07ebe522dac2
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|
2744 work(0) = lworkaround; |
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changeset
|
2745 } |
7476 | 2746 |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
2747 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
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parents:
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diff
changeset
|
2748 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
|
2749 |
29980c6b8604
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diff
changeset
|
2750 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
10314
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changeset
|
2751 maxmn, ps, rcon, rank, |
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
2752 work.fortran_vec (), lwork, |
10314
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untabify liboctave C++ sources
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changeset
|
2753 prwork, piwork, info)); |
7482
29980c6b8604
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diff
changeset
|
2754 |
29980c6b8604
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changeset
|
2755 if (s.elem (0) == 0.0) |
10314
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changeset
|
2756 rcon = 0.0; |
1948 | 2757 else |
10314
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changeset
|
2758 rcon = s.elem (minmn - 1) / s.elem (0); |
7482
29980c6b8604
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changeset
|
2759 |
29980c6b8604
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diff
changeset
|
2760 retval.resize (n, nrhs); |
458 | 2761 } |
2762 | |
2763 return retval; | |
2764 } | |
2765 | |
2766 ComplexColumnVector | |
3585 | 2767 ComplexMatrix::lssolve (const ColumnVector& b) const |
2768 { | |
5275 | 2769 octave_idx_type info; |
2770 octave_idx_type rank; | |
7788 | 2771 double rcon; |
2772 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2773 } |
2774 | |
2775 ComplexColumnVector | |
5275 | 2776 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
3585 | 2777 { |
5275 | 2778 octave_idx_type rank; |
7788 | 2779 double rcon; |
2780 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
3585 | 2781 } |
2782 | |
2783 ComplexColumnVector | |
11586
12df7854fa7c
strip trailing whitespace from source files
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changeset
|
2784 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
10314
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untabify liboctave C++ sources
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changeset
|
2785 octave_idx_type& rank) const |
3585 | 2786 { |
7788 | 2787 double rcon; |
2788 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
7076 | 2789 } |
2790 | |
2791 ComplexColumnVector | |
11586
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strip trailing whitespace from source files
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changeset
|
2792 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
10314
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|
2793 octave_idx_type& rank, double& rcon) const |
7076 | 2794 { |
7788 | 2795 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
3585 | 2796 } |
2797 | |
2798 ComplexColumnVector | |
458 | 2799 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
2800 { | |
5275 | 2801 octave_idx_type info; |
2802 octave_idx_type rank; | |
7788 | 2803 double rcon; |
2804 return lssolve (b, info, rank, rcon); | |
458 | 2805 } |
2806 | |
2807 ComplexColumnVector | |
17769
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Rik <rik@octave.org>
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|
2808 ComplexMatrix::lssolve (const ComplexColumnVector& b, |
49a5a4be04a1
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|
2809 octave_idx_type& info) const |
458 | 2810 { |
5275 | 2811 octave_idx_type rank; |
7788 | 2812 double rcon; |
2813 return lssolve (b, info, rank, rcon); | |
458 | 2814 } |
2815 | |
2816 ComplexColumnVector | |
5275 | 2817 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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changeset
|
2818 octave_idx_type& rank) const |
458 | 2819 { |
7788 | 2820 double rcon; |
2821 return lssolve (b, info, rank, rcon); | |
7076 | 2822 |
2823 } | |
2824 | |
2825 ComplexColumnVector | |
2826 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
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changeset
|
2827 octave_idx_type& rank, double& rcon) const |
7076 | 2828 { |
1948 | 2829 ComplexColumnVector retval; |
2830 | |
5275 | 2831 octave_idx_type nrhs = 1; |
2832 | |
2833 octave_idx_type m = rows (); | |
2834 octave_idx_type n = cols (); | |
458 | 2835 |
6924 | 2836 if (m != b.length ()) |
1948 | 2837 (*current_liboctave_error_handler) |
6924 | 2838 ("matrix dimension mismatch solution of linear equations"); |
2839 else if (m == 0 || n == 0 || b.cols () == 0) | |
2840 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
1948 | 2841 else |
458 | 2842 { |
7072 | 2843 volatile octave_idx_type minmn = (m < n ? m : n); |
2844 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2845 rcon = -1.0; |
7072 | 2846 |
2847 if (m != n) | |
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|
2848 { |
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changeset
|
2849 retval = ComplexColumnVector (maxmn); |
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|
2850 |
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|
2851 for (octave_idx_type i = 0; i < m; i++) |
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changeset
|
2852 retval.elem (i) = b.elem (i); |
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|
2853 } |
7072 | 2854 else |
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changeset
|
2855 retval = b; |
7072 | 2856 |
1948 | 2857 ComplexMatrix atmp = *this; |
2858 Complex *tmp_data = atmp.fortran_vec (); | |
2859 | |
7072 | 2860 Complex *pretval = retval.fortran_vec (); |
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attempt better backward compatibility for Array constructors
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|
2861 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2862 double *ps = s.fortran_vec (); |
1948 | 2863 |
7072 | 2864 // Ask ZGELSD what the dimension of WORK should be. |
5275 | 2865 octave_idx_type lwork = -1; |
3752 | 2866 |
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|
2867 Array<Complex> work (dim_vector (1, 1)); |
7079 | 2868 |
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|
2869 octave_idx_type smlsiz; |
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changeset
|
2870 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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|
2871 F77_CONST_CHAR_ARG2 (" ", 1), |
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|
2872 0, 0, 0, 0, smlsiz |
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|
2873 F77_CHAR_ARG_LEN (6) |
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changeset
|
2874 F77_CHAR_ARG_LEN (1)); |
7079 | 2875 |
2876 // We compute the size of rwork and iwork because ZGELSD in | |
2877 // older versions of LAPACK does not return them on a query | |
2878 // call. | |
7124 | 2879 double dminmn = static_cast<double> (minmn); |
2880 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
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|
2881 double tmp = xlog2 (dminmn / dsmlsizp1); |
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2882 |
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|
2883 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2884 if (nlvl < 0) |
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changeset
|
2885 nlvl = 0; |
7079 | 2886 |
2887 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
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changeset
|
2888 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
7079 | 2889 if (lrwork < 1) |
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changeset
|
2890 lrwork = 1; |
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2891 Array<double> rwork (dim_vector (lrwork, 1)); |
7079 | 2892 double *prwork = rwork.fortran_vec (); |
2893 | |
2894 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2895 if (liwork < 1) | |
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2896 liwork = 1; |
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2897 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7079 | 2898 octave_idx_type* piwork = iwork.fortran_vec (); |
7072 | 2899 |
2900 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2901 ps, rcon, rank, work.fortran_vec (), |
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2902 lwork, prwork, piwork, info)); |
1948 | 2903 |
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2904 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2905 work.resize (dim_vector (lwork, 1)); |
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2906 rwork.resize (dim_vector (static_cast<octave_idx_type> (rwork(0)), 1)); |
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2907 iwork.resize (dim_vector (iwork(0), 1)); |
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2908 |
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2909 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2910 maxmn, ps, rcon, rank, |
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2911 work.fortran_vec (), lwork, |
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2912 prwork, piwork, info)); |
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|
2913 |
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2914 if (rank < minmn) |
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2915 { |
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2916 if (s.elem (0) == 0.0) |
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2917 rcon = 0.0; |
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2918 else |
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2919 rcon = s.elem (minmn - 1) / s.elem (0); |
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2920 |
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2921 retval.resize (n, nrhs); |
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2922 } |
458 | 2923 } |
2924 | |
2925 return retval; | |
2926 } | |
2927 | |
1205 | 2928 // column vector by row vector -> matrix operations |
2929 | |
2930 ComplexMatrix | |
2931 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
2932 { | |
2933 ComplexColumnVector tmp (v); | |
2934 return tmp * a; | |
2935 } | |
2936 | |
2937 ComplexMatrix | |
2938 operator * (const ComplexColumnVector& a, const RowVector& b) | |
2939 { | |
2940 ComplexRowVector tmp (b); | |
2941 return a * tmp; | |
2942 } | |
2943 | |
2944 ComplexMatrix | |
2945 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
2946 { | |
1948 | 2947 ComplexMatrix retval; |
2948 | |
5275 | 2949 octave_idx_type len = v.length (); |
3233 | 2950 |
2951 if (len != 0) | |
1205 | 2952 { |
5275 | 2953 octave_idx_type a_len = a.length (); |
3233 | 2954 |
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|
2955 retval = ComplexMatrix (len, a_len); |
3233 | 2956 Complex *c = retval.fortran_vec (); |
2957 | |
4552 | 2958 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
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2959 F77_CONST_CHAR_ARG2 ("N", 1), |
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2960 len, a_len, 1, 1.0, v.data (), len, |
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2961 a.data (), 1, 0.0, c, len |
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2962 F77_CHAR_ARG_LEN (1) |
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2963 F77_CHAR_ARG_LEN (1))); |
1205 | 2964 } |
2965 | |
1948 | 2966 return retval; |
1205 | 2967 } |
2968 | |
458 | 2969 // matrix by diagonal matrix -> matrix operations |
2970 | |
2971 ComplexMatrix& | |
2972 ComplexMatrix::operator += (const DiagMatrix& a) | |
2973 { | |
5275 | 2974 octave_idx_type nr = rows (); |
2975 octave_idx_type nc = cols (); | |
2976 | |
2977 octave_idx_type a_nr = rows (); | |
2978 octave_idx_type a_nc = cols (); | |
2384 | 2979 |
2980 if (nr != a_nr || nc != a_nc) | |
458 | 2981 { |
2384 | 2982 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 2983 return *this; |
458 | 2984 } |
2985 | |
5275 | 2986 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2987 elem (i, i) += a.elem (i, i); |
2988 | |
2989 return *this; | |
2990 } | |
2991 | |
2992 ComplexMatrix& | |
2993 ComplexMatrix::operator -= (const DiagMatrix& a) | |
2994 { | |
5275 | 2995 octave_idx_type nr = rows (); |
2996 octave_idx_type nc = cols (); | |
2997 | |
2998 octave_idx_type a_nr = rows (); | |
2999 octave_idx_type a_nc = cols (); | |
2384 | 3000 |
3001 if (nr != a_nr || nc != a_nc) | |
458 | 3002 { |
2384 | 3003 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3004 return *this; |
458 | 3005 } |
3006 | |
5275 | 3007 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3008 elem (i, i) -= a.elem (i, i); |
3009 | |
3010 return *this; | |
3011 } | |
3012 | |
3013 ComplexMatrix& | |
3014 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
3015 { | |
5275 | 3016 octave_idx_type nr = rows (); |
3017 octave_idx_type nc = cols (); | |
3018 | |
3019 octave_idx_type a_nr = rows (); | |
3020 octave_idx_type a_nc = cols (); | |
2384 | 3021 |
3022 if (nr != a_nr || nc != a_nc) | |
458 | 3023 { |
2384 | 3024 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
889 | 3025 return *this; |
458 | 3026 } |
3027 | |
5275 | 3028 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3029 elem (i, i) += a.elem (i, i); |
3030 | |
3031 return *this; | |
3032 } | |
3033 | |
3034 ComplexMatrix& | |
3035 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
3036 { | |
5275 | 3037 octave_idx_type nr = rows (); |
3038 octave_idx_type nc = cols (); | |
3039 | |
3040 octave_idx_type a_nr = rows (); | |
3041 octave_idx_type a_nc = cols (); | |
2384 | 3042 |
3043 if (nr != a_nr || nc != a_nc) | |
458 | 3044 { |
2384 | 3045 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
889 | 3046 return *this; |
458 | 3047 } |
3048 | |
5275 | 3049 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 3050 elem (i, i) -= a.elem (i, i); |
3051 | |
3052 return *this; | |
3053 } | |
3054 | |
3055 // matrix by matrix -> matrix operations | |
3056 | |
3057 ComplexMatrix& | |
3058 ComplexMatrix::operator += (const Matrix& a) | |
3059 { | |
5275 | 3060 octave_idx_type nr = rows (); |
3061 octave_idx_type nc = cols (); | |
3062 | |
3063 octave_idx_type a_nr = a.rows (); | |
3064 octave_idx_type a_nc = a.cols (); | |
2384 | 3065 |
3066 if (nr != a_nr || nc != a_nc) | |
458 | 3067 { |
2384 | 3068 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
458 | 3069 return *this; |
3070 } | |
3071 | |
3072 if (nr == 0 || nc == 0) | |
3073 return *this; | |
3074 | |
3075 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3076 | |
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|
3077 mx_inline_add2 (length (), d, a.data ()); |
458 | 3078 return *this; |
3079 } | |
3080 | |
3081 ComplexMatrix& | |
3082 ComplexMatrix::operator -= (const Matrix& a) | |
3083 { | |
5275 | 3084 octave_idx_type nr = rows (); |
3085 octave_idx_type nc = cols (); | |
3086 | |
3087 octave_idx_type a_nr = a.rows (); | |
3088 octave_idx_type a_nc = a.cols (); | |
2384 | 3089 |
3090 if (nr != a_nr || nc != a_nc) | |
458 | 3091 { |
2384 | 3092 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
458 | 3093 return *this; |
3094 } | |
3095 | |
3096 if (nr == 0 || nc == 0) | |
3097 return *this; | |
3098 | |
3099 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
3100 | |
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|
3101 mx_inline_sub2 (length (), d, a.data ()); |
458 | 3102 return *this; |
3103 } | |
3104 | |
3105 // unary operations | |
3106 | |
2964 | 3107 boolMatrix |
458 | 3108 ComplexMatrix::operator ! (void) const |
3109 { | |
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|
3110 if (any_element_is_nan ()) |
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3111 gripe_nan_to_logical_conversion (); |
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3112 |
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3113 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
458 | 3114 } |
3115 | |
3116 // other operations | |
3117 | |
2384 | 3118 bool |
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|
3119 ComplexMatrix::any_element_is_nan (void) const |
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3120 { |
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|
3121 return do_mx_check<Complex> (*this, mx_inline_any_nan); |
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|
3122 } |
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3123 |
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|
3124 bool |
2384 | 3125 ComplexMatrix::any_element_is_inf_or_nan (void) const |
3126 { | |
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|
3127 return ! do_mx_check<Complex> (*this, mx_inline_all_finite); |
2384 | 3128 } |
3129 | |
2408 | 3130 // Return true if no elements have imaginary components. |
3131 | |
3132 bool | |
3133 ComplexMatrix::all_elements_are_real (void) const | |
3134 { | |
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3135 return do_mx_check<Complex> (*this, mx_inline_all_real); |
2408 | 3136 } |
3137 | |
1968 | 3138 // Return nonzero if any element of CM has a non-integer real or |
3139 // imaginary part. Also extract the largest and smallest (real or | |
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3140 // imaginary) values and return them in MAX_VAL and MIN_VAL. |
1968 | 3141 |
2384 | 3142 bool |
1968 | 3143 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
3144 { | |
5275 | 3145 octave_idx_type nr = rows (); |
3146 octave_idx_type nc = cols (); | |
1968 | 3147 |
3148 if (nr > 0 && nc > 0) | |
3149 { | |
3150 Complex val = elem (0, 0); | |
3151 | |
5315 | 3152 double r_val = std::real (val); |
3153 double i_val = std::imag (val); | |
1968 | 3154 |
3155 max_val = r_val; | |
3156 min_val = r_val; | |
3157 | |
3158 if (i_val > max_val) | |
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3159 max_val = i_val; |
1968 | 3160 |
3161 if (i_val < max_val) | |
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3162 min_val = i_val; |
1968 | 3163 } |
3164 else | |
2384 | 3165 return false; |
1968 | 3166 |
5275 | 3167 for (octave_idx_type j = 0; j < nc; j++) |
3168 for (octave_idx_type i = 0; i < nr; i++) | |
1968 | 3169 { |
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|
3170 Complex val = elem (i, j); |
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|
3171 |
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3172 double r_val = std::real (val); |
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3173 double i_val = std::imag (val); |
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3174 |
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3175 if (r_val > max_val) |
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3176 max_val = r_val; |
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3177 |
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3178 if (i_val > max_val) |
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3179 max_val = i_val; |
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3180 |
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3181 if (r_val < min_val) |
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3182 min_val = r_val; |
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3183 |
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3184 if (i_val < min_val) |
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3185 min_val = i_val; |
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3186 |
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3187 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
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3188 return false; |
1968 | 3189 } |
2384 | 3190 |
3191 return true; | |
1968 | 3192 } |
3193 | |
2384 | 3194 bool |
1968 | 3195 ComplexMatrix::too_large_for_float (void) const |
3196 { | |
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3197 return test_any (xtoo_large_for_float); |
1968 | 3198 } |
3199 | |
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|
3200 // FIXME: Do these really belong here? Maybe they should be in a base class? |
4015 | 3201 |
2832 | 3202 boolMatrix |
4015 | 3203 ComplexMatrix::all (int dim) const |
458 | 3204 { |
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|
3205 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
458 | 3206 } |
3207 | |
2832 | 3208 boolMatrix |
4015 | 3209 ComplexMatrix::any (int dim) const |
458 | 3210 { |
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changeset
|
3211 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
458 | 3212 } |
3213 | |
3214 ComplexMatrix | |
3723 | 3215 ComplexMatrix::cumprod (int dim) const |
458 | 3216 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3217 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
458 | 3218 } |
3219 | |
3220 ComplexMatrix | |
3723 | 3221 ComplexMatrix::cumsum (int dim) const |
458 | 3222 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3223 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum); |
458 | 3224 } |
3225 | |
3226 ComplexMatrix | |
3723 | 3227 ComplexMatrix::prod (int dim) const |
458 | 3228 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3229 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
458 | 3230 } |
3231 | |
3232 ComplexMatrix | |
3723 | 3233 ComplexMatrix::sum (int dim) const |
458 | 3234 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3235 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum); |
458 | 3236 } |
3237 | |
3238 ComplexMatrix | |
3723 | 3239 ComplexMatrix::sumsq (int dim) const |
458 | 3240 { |
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3241 return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq); |
458 | 3242 } |
3243 | |
4329 | 3244 Matrix ComplexMatrix::abs (void) const |
3245 { | |
10363
a0728e81ed25
improve diag matrix interface & implementation
Jaroslav Hajek <highegg@gmail.com>
parents:
10362
diff
changeset
|
3246 return do_mx_unary_map<double, Complex, std::abs> (*this); |
4329 | 3247 } |
3248 | |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3249 ComplexMatrix |
5275 | 3250 ComplexMatrix::diag (octave_idx_type k) const |
458 | 3251 { |
19510
d0c73e23a505
Change inheritance tree so that <T>Matrix inherit from <T>NDArray.
Carnë Draug <carandraug@octave.org>
parents:
19461
diff
changeset
|
3252 return ComplexNDArray::diag (k); |
458 | 3253 } |
3254 | |
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
|
3255 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
|
3256 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
|
3257 { |
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 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
|
3259 |
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 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
|
3261 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
|
3262 |
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 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
|
3264 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
|
3265 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
|
3266 (*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
|
3267 ("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
|
3268 |
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 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
|
3270 } |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3271 |
2354 | 3272 bool |
5275 | 3273 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
2354 | 3274 { |
3275 bool retval = true; | |
3276 | |
5275 | 3277 octave_idx_type nc = columns (); |
3278 | |
3279 for (octave_idx_type j = 0; j < nc; j++) | |
2354 | 3280 { |
5315 | 3281 if (std::imag (elem (i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3282 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3283 retval = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3284 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3285 } |
2354 | 3286 } |
3287 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3288 return retval; |
2354 | 3289 } |
3290 | |
3291 bool | |
5275 | 3292 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
2354 | 3293 { |
3294 bool retval = true; | |
3295 | |
5275 | 3296 octave_idx_type nr = rows (); |
3297 | |
3298 for (octave_idx_type i = 0; i < nr; i++) | |
2354 | 3299 { |
5315 | 3300 if (std::imag (elem (i, j)) != 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3301 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3302 retval = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3303 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3304 } |
2354 | 3305 } |
3306 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3307 return retval; |
2354 | 3308 } |
891 | 3309 |
458 | 3310 ComplexColumnVector |
3311 ComplexMatrix::row_min (void) const | |
3312 { | |
5275 | 3313 Array<octave_idx_type> dummy_idx; |
4587 | 3314 return row_min (dummy_idx); |
458 | 3315 } |
3316 | |
3317 ComplexColumnVector | |
5275 | 3318 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
458 | 3319 { |
3320 ComplexColumnVector result; | |
3321 | |
5275 | 3322 octave_idx_type nr = rows (); |
3323 octave_idx_type nc = cols (); | |
458 | 3324 |
3325 if (nr > 0 && nc > 0) | |
3326 { | |
3327 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3328 idx_arg.resize (dim_vector (nr, 1)); |
458 | 3329 |
5275 | 3330 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3331 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3332 bool real_only = row_is_real_only (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3333 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3334 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3335 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3336 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3337 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3338 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3339 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3340 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3341 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3342 tmp_min = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3343 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3344 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3345 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3346 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
|
3347 : std::abs (tmp_min); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3348 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3349 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3350 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3351 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3352 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
|
3353 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3354 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3355 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3356 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3358 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3359 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
|
3360 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3361 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3362 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3363 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
3364 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3365 abs_min = abs_tmp; |
07ebe522dac2
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parents:
10213
diff
changeset
|
3366 } |
07ebe522dac2
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parents:
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diff
changeset
|
3367 } |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3368 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3369 if (xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3370 { |
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untabify liboctave C++ sources
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changeset
|
3371 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3372 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3373 } |
07ebe522dac2
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diff
changeset
|
3374 else |
07ebe522dac2
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10213
diff
changeset
|
3375 { |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3376 result.elem (i) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3377 idx_arg.elem (i) = idx_j; |
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untabify liboctave C++ sources
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diff
changeset
|
3378 } |
458 | 3379 } |
3380 } | |
3381 | |
3382 return result; | |
3383 } | |
3384 | |
3385 ComplexColumnVector | |
3386 ComplexMatrix::row_max (void) const | |
3387 { | |
5275 | 3388 Array<octave_idx_type> dummy_idx; |
4587 | 3389 return row_max (dummy_idx); |
458 | 3390 } |
3391 | |
3392 ComplexColumnVector | |
5275 | 3393 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
458 | 3394 { |
3395 ComplexColumnVector result; | |
3396 | |
5275 | 3397 octave_idx_type nr = rows (); |
3398 octave_idx_type nc = cols (); | |
458 | 3399 |
3400 if (nr > 0 && nc > 0) | |
3401 { | |
3402 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3403 idx_arg.resize (dim_vector (nr, 1)); |
458 | 3404 |
5275 | 3405 for (octave_idx_type i = 0; i < nr; i++) |
458 | 3406 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3407 bool real_only = row_is_real_only (i); |
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changeset
|
3408 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3409 octave_idx_type idx_j; |
07ebe522dac2
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changeset
|
3410 |
07ebe522dac2
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diff
changeset
|
3411 Complex tmp_max; |
07ebe522dac2
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|
3412 |
07ebe522dac2
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changeset
|
3413 double abs_max = octave_NaN; |
07ebe522dac2
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|
3414 |
07ebe522dac2
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changeset
|
3415 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
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changeset
|
3416 { |
07ebe522dac2
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changeset
|
3417 tmp_max = elem (i, idx_j); |
07ebe522dac2
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diff
changeset
|
3418 |
07ebe522dac2
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diff
changeset
|
3419 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3420 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3421 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
|
3422 : std::abs (tmp_max); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3423 break; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3427 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
|
3428 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3429 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3430 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3431 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3432 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3433 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3434 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
|
3435 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3436 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3437 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3438 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3439 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3440 abs_max = abs_tmp; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3444 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3445 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3446 result.elem (i) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3447 idx_arg.elem (i) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3448 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3449 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3450 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3451 result.elem (i) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3452 idx_arg.elem (i) = idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3453 } |
458 | 3454 } |
3455 } | |
3456 | |
3457 return result; | |
3458 } | |
3459 | |
3460 ComplexRowVector | |
3461 ComplexMatrix::column_min (void) const | |
3462 { | |
5275 | 3463 Array<octave_idx_type> dummy_idx; |
4587 | 3464 return column_min (dummy_idx); |
458 | 3465 } |
3466 | |
3467 ComplexRowVector | |
5275 | 3468 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
458 | 3469 { |
3470 ComplexRowVector result; | |
3471 | |
5275 | 3472 octave_idx_type nr = rows (); |
3473 octave_idx_type nc = cols (); | |
458 | 3474 |
3475 if (nr > 0 && nc > 0) | |
3476 { | |
3477 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3478 idx_arg.resize (dim_vector (1, nc)); |
458 | 3479 |
5275 | 3480 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3481 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3482 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3483 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3484 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3485 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3486 Complex tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3487 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3488 double abs_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3489 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3490 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3491 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3492 tmp_min = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3493 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3494 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3495 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3496 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
|
3497 : std::abs (tmp_min); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3498 break; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3502 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
|
3503 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3504 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3505 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3506 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3507 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3508 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3509 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
|
3510 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3511 if (abs_tmp < abs_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3512 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3513 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3514 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3515 abs_min = abs_tmp; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3519 if (xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3520 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3521 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3522 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3523 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3524 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3525 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3526 result.elem (j) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3527 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3528 } |
458 | 3529 } |
3530 } | |
3531 | |
3532 return result; | |
3533 } | |
3534 | |
3535 ComplexRowVector | |
3536 ComplexMatrix::column_max (void) const | |
3537 { | |
5275 | 3538 Array<octave_idx_type> dummy_idx; |
4587 | 3539 return column_max (dummy_idx); |
458 | 3540 } |
3541 | |
3542 ComplexRowVector | |
5275 | 3543 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
458 | 3544 { |
3545 ComplexRowVector result; | |
3546 | |
5275 | 3547 octave_idx_type nr = rows (); |
3548 octave_idx_type nc = cols (); | |
458 | 3549 |
3550 if (nr > 0 && nc > 0) | |
3551 { | |
3552 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3553 idx_arg.resize (dim_vector (1, nc)); |
458 | 3554 |
5275 | 3555 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3556 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3557 bool real_only = column_is_real_only (j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3558 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3559 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3560 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3561 Complex tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3562 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3563 double abs_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3564 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3565 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3566 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3567 tmp_max = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3568 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3569 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3570 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3571 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
|
3572 : std::abs (tmp_max); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3573 break; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3577 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
|
3578 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3579 Complex tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3580 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3581 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3582 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3583 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3584 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
|
3585 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3586 if (abs_tmp > abs_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3587 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3588 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3589 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3590 abs_max = abs_tmp; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3594 if (xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3595 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3596 result.elem (j) = Complex_NaN_result; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3597 idx_arg.elem (j) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3598 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3599 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3600 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3601 result.elem (j) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3602 idx_arg.elem (j) = idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3603 } |
458 | 3604 } |
3605 } | |
3606 | |
3607 return result; | |
3608 } | |
3609 | |
3610 // i/o | |
3611 | |
3504 | 3612 std::ostream& |
3613 operator << (std::ostream& os, const ComplexMatrix& a) | |
458 | 3614 { |
5275 | 3615 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 3616 { |
5275 | 3617 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
|
3618 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3619 os << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3620 octave_write_complex (os, a.elem (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3621 } |
458 | 3622 os << "\n"; |
3623 } | |
3624 return os; | |
3625 } | |
3626 | |
3504 | 3627 std::istream& |
3628 operator >> (std::istream& is, ComplexMatrix& a) | |
458 | 3629 { |
5275 | 3630 octave_idx_type nr = a.rows (); |
3631 octave_idx_type nc = a.cols (); | |
458 | 3632 |
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3633 if (nr > 0 && nc > 0) |
458 | 3634 { |
3635 Complex tmp; | |
5275 | 3636 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
|
3637 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3638 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3639 tmp = octave_read_value<Complex> (is); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3640 if (is) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3641 a.elem (i, j) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3642 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3643 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3644 } |
458 | 3645 } |
3646 | |
2993 | 3647 done: |
3648 | |
458 | 3649 return is; |
3650 } | |
3651 | |
1819 | 3652 ComplexMatrix |
3653 Givens (const Complex& x, const Complex& y) | |
3654 { | |
3655 double cc; | |
3656 Complex cs, temp_r; | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3657 |
3887 | 3658 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
1819 | 3659 |
3660 ComplexMatrix g (2, 2); | |
3661 | |
3662 g.elem (0, 0) = cc; | |
3663 g.elem (1, 1) = cc; | |
3664 g.elem (0, 1) = cs; | |
3665 g.elem (1, 0) = -conj (cs); | |
3666 | |
3667 return g; | |
3668 } | |
3669 | |
3670 ComplexMatrix | |
3671 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3672 const ComplexMatrix& c) |
1819 | 3673 { |
3674 ComplexMatrix retval; | |
3675 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3676 // FIXME: need to check that a, b, and c are all the same size. |
1819 | 3677 |
3678 // Compute Schur decompositions | |
3679 | |
3680 ComplexSCHUR as (a, "U"); | |
3681 ComplexSCHUR bs (b, "U"); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3682 |
1819 | 3683 // Transform c to new coordinates. |
3684 | |
3685 ComplexMatrix ua = as.unitary_matrix (); | |
3686 ComplexMatrix sch_a = as.schur_matrix (); | |
3687 | |
3688 ComplexMatrix ub = bs.unitary_matrix (); | |
3689 ComplexMatrix sch_b = bs.schur_matrix (); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3690 |
1819 | 3691 ComplexMatrix cx = ua.hermitian () * c * ub; |
3692 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3693 // Solve the sylvester equation, back-transform, and return the solution. |
1819 | 3694 |
5275 | 3695 octave_idx_type a_nr = a.rows (); |
3696 octave_idx_type b_nr = b.rows (); | |
1819 | 3697 |
3698 double scale; | |
5275 | 3699 octave_idx_type info; |
1950 | 3700 |
3701 Complex *pa = sch_a.fortran_vec (); | |
3702 Complex *pb = sch_b.fortran_vec (); | |
3703 Complex *px = cx.fortran_vec (); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3704 |
4552 | 3705 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
|
3706 F77_CONST_CHAR_ARG2 ("N", 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3707 1, a_nr, b_nr, pa, a_nr, pb, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3708 b_nr, px, a_nr, scale, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3709 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3710 F77_CHAR_ARG_LEN (1))); |
1950 | 3711 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3712 // FIXME: check info? |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3713 |
19257
d20c81d3cd21
Deprecate syl, add new function sylvester.
Rik <rik@octave.org>
parents:
19040
diff
changeset
|
3714 retval = ua * cx * ub.hermitian (); |
1819 | 3715 |
3716 return retval; | |
3717 } | |
3718 | |
2828 | 3719 ComplexMatrix |
3720 operator * (const ComplexMatrix& m, const Matrix& a) | |
3721 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3722 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
|
3723 return ComplexMatrix (real (m) * a, imag (m) * a); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3724 else |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3725 return m * ComplexMatrix (a); |
2828 | 3726 } |
3727 | |
3728 ComplexMatrix | |
3729 operator * (const Matrix& m, const ComplexMatrix& a) | |
3730 { | |
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3731 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
|
3732 return ComplexMatrix (m * real (a), m * imag (a)); |
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3733 else |
11352
5ea2644b0111
fix cut and paste error in Matrix by ComplexMatrix multiplication operator
John W. Eaton <jwe@octave.org>
parents:
11130
diff
changeset
|
3734 return ComplexMatrix (m) * a; |
2828 | 3735 } |
3736 | |
14427
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 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3739 ## 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
|
3740 %!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
|
3741 %!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
|
3742 %!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
|
3743 %!assert ([1 i]*[i 0]', -i); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3744 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3745 ## Test some simple identities |
6162 | 3746 %!shared M, cv, rv |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3747 %! 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
|
3748 %! 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
|
3749 %! 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
|
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 ([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
|
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 ([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
|
3756 %!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
|
3757 |
6162 | 3758 */ |
3759 | |
11516 | 3760 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
|
3761 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
|
3762 { |
11516 | 3763 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
|
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 |
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 // 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
|
3767 |
2828 | 3768 ComplexMatrix |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3769 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3770 blas_trans_type transa, blas_trans_type transb) |
2828 | 3771 { |
3772 ComplexMatrix retval; | |
3773 | |
18084
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 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
|
3775 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
|
3776 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
|
3777 bool cjb = transb == blas_conj_trans; |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3778 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3779 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
|
3780 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
|
3781 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3782 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
|
3783 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
|
3784 |
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 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
|
3786 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
2828 | 3787 else |
3788 { | |
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
|
3789 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
|
3790 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
|
3791 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
|
3792 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3793 octave_idx_type lda = a.rows (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3795 // 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
|
3796 // 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
|
3797 // 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
|
3798 // 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
|
3799 |
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3800 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3801 Complex *c = retval.fortran_vec (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 |
11516 | 3803 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
|
3804 if (cja || cjb) |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3807 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3811 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3812 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
|
3813 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
|
3814 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
|
3815 } |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 else |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 { |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3818 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3819 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3823 F77_CHAR_ARG_LEN (1))); |
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3824 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
|
3825 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
|
3826 retval.xelem (j,i) = retval.xelem (i,j); |
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 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3830 } |
2828 | 3831 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3832 { |
18084
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 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
|
3834 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
|
3835 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
|
3836 octave_idx_type tdb = b.cols (); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3837 |
13829
8e25d6d1db10
ensure that complex matrix multiplication results are fully initialized
John W. Eaton <jwe@octave.org>
parents:
13828
diff
changeset
|
3838 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3839 Complex *c = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3840 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3841 if (b_nc == 1 && a_nr == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3842 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3843 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
|
3844 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3845 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
|
3846 *c); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3847 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
|
3848 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3849 else if (cja) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3850 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
|
3851 *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
|
3852 else |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3853 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
|
3854 *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
|
3855 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3856 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
|
3857 { |
11516 | 3858 const char ctra = get_blas_trans_arg (tra, cja); |
3859 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
|
3860 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
|
3861 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
|
3862 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
|
3863 } |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3864 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
|
3865 { |
11516 | 3866 const char crevtrb = get_blas_trans_arg (! trb, cjb); |
3867 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
|
3868 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
|
3869 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
|
3870 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
|
3871 } |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3872 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3873 { |
11516 | 3874 const char ctra = get_blas_trans_arg (tra, cja); |
3875 const char ctrb = get_blas_trans_arg (trb, cjb); | |
3876 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
3877 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3878 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
|
3879 lda, b.data (), ldb, 0.0, c, a_nr |
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 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3882 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3883 } |
2828 | 3884 } |
3885 | |
3886 return retval; | |
3887 } | |
3888 | |
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
|
3889 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
|
3890 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
|
3891 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3892 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
|
3893 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3894 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3895 // FIXME: it would be nice to share code among the min/max functions below. |
4309 | 3896 |
3897 #define EMPTY_RETURN_CHECK(T) \ | |
3898 if (nr == 0 || nc == 0) \ | |
3899 return T (nr, nc); | |
3900 | |
3901 ComplexMatrix | |
3902 min (const Complex& c, const ComplexMatrix& m) | |
3903 { | |
5275 | 3904 octave_idx_type nr = m.rows (); |
3905 octave_idx_type nc = m.columns (); | |
4309 | 3906 |
3907 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3908 | |
3909 ComplexMatrix result (nr, nc); | |
3910 | |
5275 | 3911 for (octave_idx_type j = 0; j < nc; j++) |
3912 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3913 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3914 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
|
3915 result(i, j) = xmin (c, m(i, j)); |
4309 | 3916 } |
3917 | |
3918 return result; | |
3919 } | |
3920 | |
3921 ComplexMatrix | |
3922 min (const ComplexMatrix& m, const Complex& c) | |
3923 { | |
5275 | 3924 octave_idx_type nr = m.rows (); |
3925 octave_idx_type nc = m.columns (); | |
4309 | 3926 |
3927 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3928 | |
3929 ComplexMatrix result (nr, nc); | |
3930 | |
5275 | 3931 for (octave_idx_type j = 0; j < nc; j++) |
3932 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3933 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3934 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
|
3935 result(i, j) = xmin (m(i, j), c); |
4309 | 3936 } |
3937 | |
3938 return result; | |
3939 } | |
3940 | |
3941 ComplexMatrix | |
3942 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
3943 { | |
5275 | 3944 octave_idx_type nr = a.rows (); |
3945 octave_idx_type nc = a.columns (); | |
4309 | 3946 |
3947 if (nr != b.rows () || nc != b.columns ()) | |
3948 { | |
3949 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3950 ("two-arg min expecting args of same size"); |
4309 | 3951 return ComplexMatrix (); |
3952 } | |
3953 | |
3954 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3955 | |
3956 ComplexMatrix result (nr, nc); | |
3957 | |
5275 | 3958 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 3959 { |
3960 int columns_are_real_only = 1; | |
5275 | 3961 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
|
3962 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3963 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
|
3964 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
|
3965 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3966 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3967 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3968 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3969 } |
4309 | 3970 |
3971 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3972 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3973 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
|
3974 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
|
3975 } |
4309 | 3976 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3977 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3978 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3979 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3980 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
|
3981 result(i, j) = xmin (a(i, j), b(i, j)); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3982 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3983 } |
4309 | 3984 } |
3985 | |
3986 return result; | |
3987 } | |
3988 | |
3989 ComplexMatrix | |
3990 max (const Complex& c, const ComplexMatrix& m) | |
3991 { | |
5275 | 3992 octave_idx_type nr = m.rows (); |
3993 octave_idx_type nc = m.columns (); | |
4309 | 3994 |
3995 EMPTY_RETURN_CHECK (ComplexMatrix); | |
3996 | |
3997 ComplexMatrix result (nr, nc); | |
3998 | |
5275 | 3999 for (octave_idx_type j = 0; j < nc; j++) |
4000 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 4001 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4002 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
|
4003 result(i, j) = xmax (c, m(i, j)); |
4309 | 4004 } |
4005 | |
4006 return result; | |
4007 } | |
4008 | |
4009 ComplexMatrix | |
4010 max (const ComplexMatrix& m, const Complex& c) | |
4011 { | |
5275 | 4012 octave_idx_type nr = m.rows (); |
4013 octave_idx_type nc = m.columns (); | |
4309 | 4014 |
4015 EMPTY_RETURN_CHECK (ComplexMatrix); | |
4016 | |
4017 ComplexMatrix result (nr, nc); | |
4018 | |
5275 | 4019 for (octave_idx_type j = 0; j < nc; j++) |
4020 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 4021 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4022 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
|
4023 result(i, j) = xmax (m(i, j), c); |
4309 | 4024 } |
4025 | |
4026 return result; | |
4027 } | |
4028 | |
4029 ComplexMatrix | |
4030 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
4031 { | |
5275 | 4032 octave_idx_type nr = a.rows (); |
4033 octave_idx_type nc = a.columns (); | |
4309 | 4034 |
4035 if (nr != b.rows () || nc != b.columns ()) | |
4036 { | |
4037 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4038 ("two-arg max expecting args of same size"); |
4309 | 4039 return ComplexMatrix (); |
4040 } | |
4041 | |
4042 EMPTY_RETURN_CHECK (ComplexMatrix); | |
4043 | |
4044 ComplexMatrix result (nr, nc); | |
4045 | |
5275 | 4046 for (octave_idx_type j = 0; j < nc; j++) |
4309 | 4047 { |
4048 int columns_are_real_only = 1; | |
5275 | 4049 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
|
4050 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4051 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
|
4052 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
|
4053 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4054 columns_are_real_only = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4055 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4056 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4057 } |
4309 | 4058 |
4059 if (columns_are_real_only) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4060 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4061 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4062 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4063 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
|
4064 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
|
4065 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4066 } |
4309 | 4067 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4068 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4069 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4070 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4071 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
|
4072 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
|
4073 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4074 } |
4309 | 4075 } |
4076 | |
4077 return result; | |
4078 } | |
4079 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4080 ComplexMatrix linspace (const ComplexColumnVector& x1, |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4081 const ComplexColumnVector& x2, |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4082 octave_idx_type n) |
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 { |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4085 if (n < 1) n = 1; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4086 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4087 octave_idx_type m = x1.length (); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4088 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4089 if (x2.length () != m) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4090 (*current_liboctave_error_handler) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4091 ("linspace: vectors must be of equal length"); |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4092 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4093 NoAlias<ComplexMatrix> retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4094 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4095 retval.clear (m, n); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4096 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4097 retval(i, 0) = x1(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4098 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4099 // 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
|
4100 Complex *delta = &retval(0, n-1); |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4101 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4102 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4103 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4104 for (octave_idx_type j = 1; j < n-1; j++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4105 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
|
4106 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
|
4107 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4108 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4109 retval(i, n-1) = x2(i); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4110 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4111 return retval; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4112 } |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4113 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4114 MS_CMP_OPS (ComplexMatrix, Complex) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4115 MS_BOOL_OPS (ComplexMatrix, Complex) |
2870 | 4116 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4117 SM_CMP_OPS (Complex, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4118 SM_BOOL_OPS (Complex, ComplexMatrix) |
2870 | 4119 |
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4120 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4121 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |