Mercurial > hg > octave-nkf
annotate liboctave/array/CMatrix.cc @ 19037:ff4da3c8ed16 stable
use gnulib log2 modules (bug #42583)
* bootstrap.conf (gnulib_modules): Include log2, log2f, log2-ieee, and
log2f-ieee, in the list.
* lo-mappers.cc (xlog2): Use gnulib:: versions of log2 and log2f.
* CMatrix.cc, dMatrix.cc, fCMatrix.cc, fMatrix.cc: Use xlog2.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Thu, 19 Jun 2014 15:49:14 -0400 |
| parents | 49a5a4be04a1 |
| children | b314efd58072 |
| 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" |
| 2828 | 39 #include "CMatrix.h" |
| 1819 | 40 #include "CmplxAEPBAL.h" |
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41 #include "CmplxCHOL.h" |
| 1819 | 42 #include "CmplxSCHUR.h" |
| 740 | 43 #include "CmplxSVD.h" |
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44 #include "DET.h" |
| 1847 | 45 #include "f77-fcn.h" |
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46 #include "functor.h" |
| 458 | 47 #include "lo-error.h" |
| 2354 | 48 #include "lo-ieee.h" |
| 49 #include "lo-mappers.h" | |
| 1968 | 50 #include "lo-utils.h" |
| 1367 | 51 #include "mx-base.h" |
| 2828 | 52 #include "mx-cm-dm.h" |
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53 #include "mx-cm-s.h" |
| 3176 | 54 #include "mx-dm-cm.h" |
| 1367 | 55 #include "mx-inlines.cc" |
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56 #include "mx-op-defs.h" |
| 1650 | 57 #include "oct-cmplx.h" |
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58 #include "oct-fftw.h" |
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59 #include "oct-locbuf.h" |
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60 #include "oct-norm.h" |
| 458 | 61 |
| 62 // Fortran functions we call. | |
| 63 | |
| 64 extern "C" | |
| 65 { | |
| 7477 | 66 F77_RET_T |
| 11518 | 67 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, |
| 68 F77_CONST_CHAR_ARG_DECL, | |
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69 F77_CONST_CHAR_ARG_DECL, |
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70 const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, const octave_idx_type&, |
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72 octave_idx_type& |
| 11518 | 73 F77_CHAR_ARG_LEN_DECL |
| 74 F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 75 |
| 4552 | 76 F77_RET_T |
| 77 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 11518 | 78 const octave_idx_type&, Complex*, |
| 79 const octave_idx_type&, octave_idx_type&, | |
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80 octave_idx_type&, double*, octave_idx_type& |
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81 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 82 |
| 83 F77_RET_T | |
| 84 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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85 F77_CONST_CHAR_ARG_DECL, |
| 11518 | 86 const octave_idx_type&, const octave_idx_type&, |
| 87 const octave_idx_type&, double*, | |
| 88 const octave_idx_type&, double*, | |
| 89 const octave_idx_type&, octave_idx_type& | |
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90 F77_CHAR_ARG_LEN_DECL |
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91 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 92 |
| 93 F77_RET_T | |
| 94 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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95 F77_CONST_CHAR_ARG_DECL, |
| 11518 | 96 const octave_idx_type&, const octave_idx_type&, |
| 97 const octave_idx_type&, const Complex&, | |
| 98 const Complex*, const octave_idx_type&, | |
| 99 const Complex*, const octave_idx_type&, | |
| 100 const Complex&, Complex*, const octave_idx_type& | |
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101 F77_CHAR_ARG_LEN_DECL |
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102 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 103 |
| 104 F77_RET_T | |
| 5983 | 105 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 11518 | 106 const octave_idx_type&, const octave_idx_type&, |
| 107 const Complex&, const Complex*, | |
| 108 const octave_idx_type&, const Complex*, | |
| 109 const octave_idx_type&, const Complex&, | |
| 110 Complex*, const octave_idx_type& | |
| 5983 | 111 F77_CHAR_ARG_LEN_DECL); |
| 112 | |
| 113 F77_RET_T | |
| 11518 | 114 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, |
| 115 const octave_idx_type&, const Complex*, | |
| 116 const octave_idx_type&, Complex&); | |
| 5983 | 117 |
| 118 F77_RET_T | |
| 11518 | 119 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, |
| 120 const octave_idx_type&, const Complex*, | |
| 121 const octave_idx_type&, Complex&); | |
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122 |
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123 F77_RET_T |
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124 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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125 F77_CONST_CHAR_ARG_DECL, |
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126 const octave_idx_type&, const octave_idx_type&, |
| 11518 | 127 const Complex&, const Complex*, |
| 128 const octave_idx_type&, const Complex&, | |
| 129 Complex*, const octave_idx_type& | |
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130 F77_CHAR_ARG_LEN_DECL |
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131 F77_CHAR_ARG_LEN_DECL); |
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132 |
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133 F77_RET_T |
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134 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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135 F77_CONST_CHAR_ARG_DECL, |
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136 const octave_idx_type&, const octave_idx_type&, |
| 11518 | 137 const double&, const Complex*, |
| 138 const octave_idx_type&, const double&, Complex*, | |
| 139 const octave_idx_type& | |
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140 F77_CHAR_ARG_LEN_DECL |
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141 F77_CHAR_ARG_LEN_DECL); |
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142 |
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143 F77_RET_T |
| 11518 | 144 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, |
| 145 Complex*, const octave_idx_type&, | |
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146 octave_idx_type*, octave_idx_type&); |
| 4552 | 147 |
| 148 F77_RET_T | |
| 149 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 11518 | 150 const octave_idx_type&, const octave_idx_type&, |
| 151 Complex*, const octave_idx_type&, | |
| 152 const octave_idx_type*, Complex*, | |
| 153 const octave_idx_type&, octave_idx_type& | |
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154 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 155 |
| 156 F77_RET_T | |
| 11518 | 157 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, |
| 158 const octave_idx_type&, const octave_idx_type*, | |
| 159 Complex*, const octave_idx_type&, | |
| 160 octave_idx_type&); | |
| 4552 | 161 |
| 162 F77_RET_T | |
| 163 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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164 const octave_idx_type&, Complex*, |
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165 const octave_idx_type&, const double&, double&, |
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166 Complex*, double*, octave_idx_type& |
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167 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 168 |
| 169 F77_RET_T | |
| 11518 | 170 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, |
| 171 const octave_idx_type&, Complex*, | |
| 172 const octave_idx_type&, Complex*, | |
| 173 const octave_idx_type&, octave_idx_type*, | |
| 174 double&, octave_idx_type&, Complex*, | |
| 175 const octave_idx_type&, double*, | |
| 176 octave_idx_type&); | |
| 7072 | 177 |
| 178 F77_RET_T | |
| 11518 | 179 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, |
| 180 const octave_idx_type&, Complex*, | |
| 181 const octave_idx_type&, Complex*, | |
| 182 const octave_idx_type&, double*, double&, | |
| 183 octave_idx_type&, Complex*, | |
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184 const octave_idx_type&, double*, |
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185 octave_idx_type*, octave_idx_type&); |
| 458 | 186 |
| 5785 | 187 F77_RET_T |
| 11518 | 188 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, |
| 189 const octave_idx_type&, Complex*, | |
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190 const octave_idx_type&, octave_idx_type& |
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191 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 192 |
| 193 F77_RET_T | |
| 11518 | 194 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, |
| 195 const octave_idx_type&, Complex*, | |
| 196 const octave_idx_type&, const double&, | |
| 197 double&, Complex*, double*, octave_idx_type& | |
| 198 F77_CHAR_ARG_LEN_DECL); | |
| 199 | |
| 200 F77_RET_T | |
| 201 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
| 202 const octave_idx_type&, const octave_idx_type&, | |
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203 const Complex*, const octave_idx_type&, Complex*, |
| 11518 | 204 const octave_idx_type&, octave_idx_type& |
| 205 F77_CHAR_ARG_LEN_DECL); | |
| 206 | |
| 207 F77_RET_T | |
| 208 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
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209 F77_CONST_CHAR_ARG_DECL, |
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210 const octave_idx_type&, const Complex*, |
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211 const octave_idx_type&, octave_idx_type& |
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212 F77_CHAR_ARG_LEN_DECL |
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213 F77_CHAR_ARG_LEN_DECL); |
| 6207 | 214 |
| 215 F77_RET_T | |
| 11518 | 216 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, |
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217 F77_CONST_CHAR_ARG_DECL, |
| 11518 | 218 F77_CONST_CHAR_ARG_DECL, |
| 219 const octave_idx_type&, const Complex*, | |
| 220 const octave_idx_type&, double&, | |
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221 Complex*, double*, octave_idx_type& |
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222 F77_CHAR_ARG_LEN_DECL |
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223 F77_CHAR_ARG_LEN_DECL |
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224 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 225 |
| 226 F77_RET_T | |
| 11518 | 227 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, |
| 228 F77_CONST_CHAR_ARG_DECL, | |
| 229 F77_CONST_CHAR_ARG_DECL, | |
| 230 const octave_idx_type&, const octave_idx_type&, | |
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231 const Complex*, const octave_idx_type&, Complex*, |
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232 const octave_idx_type&, octave_idx_type& |
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233 F77_CHAR_ARG_LEN_DECL |
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234 F77_CHAR_ARG_LEN_DECL |
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235 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 236 |
| 4552 | 237 F77_RET_T |
| 11518 | 238 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, double&, |
| 239 Complex&, Complex&); | |
| 4552 | 240 |
| 241 F77_RET_T | |
| 242 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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243 F77_CONST_CHAR_ARG_DECL, |
| 11518 | 244 const octave_idx_type&, const octave_idx_type&, |
| 245 const octave_idx_type&, const Complex*, | |
| 246 const octave_idx_type&, const Complex*, | |
| 247 const octave_idx_type&, const Complex*, | |
| 248 const octave_idx_type&, double&, octave_idx_type& | |
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249 F77_CHAR_ARG_LEN_DECL |
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250 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 251 |
| 252 F77_RET_T | |
| 253 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 11518 | 254 const octave_idx_type&, const octave_idx_type&, |
| 255 const Complex*, const octave_idx_type&, | |
| 256 double*, double& | |
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257 F77_CHAR_ARG_LEN_DECL); |
| 458 | 258 } |
| 259 | |
| 2354 | 260 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 261 | |
| 1360 | 262 // Complex Matrix class |
| 458 | 263 |
| 264 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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265 : MArray<Complex> (a) |
| 458 | 266 { |
| 267 } | |
| 268 | |
| 2349 | 269 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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270 : MArray<Complex> (rv) |
| 2349 | 271 { |
| 272 } | |
| 273 | |
| 274 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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275 : MArray<Complex> (cv) |
| 2349 | 276 { |
| 277 } | |
| 278 | |
| 458 | 279 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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280 : MArray<Complex> (a.dims (), 0.0) |
| 458 | 281 { |
| 5275 | 282 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 283 elem (i, i) = a.elem (i, i); |
| 284 } | |
| 285 | |
| 2349 | 286 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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287 : MArray<Complex> (rv) |
| 2349 | 288 { |
| 289 } | |
| 290 | |
| 291 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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292 : MArray<Complex> (cv) |
| 2349 | 293 { |
| 294 } | |
| 295 | |
| 458 | 296 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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297 : MArray<Complex> (a.dims (), 0.0) |
| 458 | 298 { |
| 5275 | 299 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 300 elem (i, i) = a.elem (i, i); |
| 301 } | |
| 302 | |
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303 // FIXME: could we use a templated mixed-type copy function here? |
| 1574 | 304 |
| 2828 | 305 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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306 : MArray<Complex> (a) |
| 2828 | 307 { |
| 308 } | |
| 309 | |
| 1574 | 310 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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311 : MArray<Complex> (a.dims (), 0.0) |
| 1574 | 312 { |
| 5275 | 313 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 314 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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315 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 316 } |
| 317 | |
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318 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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319 : MArray<Complex> (re.dims ()) |
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320 { |
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321 if (im.rows () != rows () || im.cols () != cols ()) |
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322 (*current_liboctave_error_handler) ("complex: internal error"); |
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323 |
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324 octave_idx_type nel = numel (); |
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325 for (octave_idx_type i = 0; i < nel; i++) |
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326 xelem (i) = Complex (re(i), im(i)); |
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327 } |
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328 |
| 2384 | 329 bool |
| 458 | 330 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 331 { | |
| 332 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 333 return false; |
| 458 | 334 |
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335 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 336 } |
| 337 | |
| 2384 | 338 bool |
| 458 | 339 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 340 { | |
| 341 return !(*this == a); | |
| 342 } | |
| 343 | |
| 2815 | 344 bool |
| 345 ComplexMatrix::is_hermitian (void) const | |
| 346 { | |
| 5275 | 347 octave_idx_type nr = rows (); |
| 348 octave_idx_type nc = cols (); | |
| 2815 | 349 |
| 350 if (is_square () && nr > 0) | |
| 351 { | |
| 5275 | 352 for (octave_idx_type i = 0; i < nr; i++) |
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353 for (octave_idx_type j = i; j < nc; j++) |
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354 if (elem (i, j) != conj (elem (j, i))) |
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355 return false; |
| 2815 | 356 |
| 357 return true; | |
| 358 } | |
| 359 | |
| 360 return false; | |
| 361 } | |
| 362 | |
| 458 | 363 // destructive insert/delete/reorder operations |
| 364 | |
| 365 ComplexMatrix& | |
| 5275 | 366 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 367 { |
| 5275 | 368 octave_idx_type a_nr = a.rows (); |
| 369 octave_idx_type a_nc = a.cols (); | |
| 1699 | 370 |
| 371 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 372 { |
| 373 (*current_liboctave_error_handler) ("range error for insert"); | |
| 374 return *this; | |
| 375 } | |
| 376 | |
| 4316 | 377 if (a_nr >0 && a_nc > 0) |
| 378 { | |
| 379 make_unique (); | |
| 380 | |
| 5275 | 381 for (octave_idx_type j = 0; j < a_nc; j++) |
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382 for (octave_idx_type i = 0; i < a_nr; i++) |
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383 xelem (r+i, c+j) = a.elem (i, j); |
| 4316 | 384 } |
| 458 | 385 |
| 386 return *this; | |
| 387 } | |
| 388 | |
| 389 ComplexMatrix& | |
| 5275 | 390 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 391 { |
| 5275 | 392 octave_idx_type a_len = a.length (); |
| 4316 | 393 |
| 1699 | 394 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 395 { |
| 396 (*current_liboctave_error_handler) ("range error for insert"); | |
| 397 return *this; | |
| 398 } | |
| 399 | |
| 4316 | 400 if (a_len > 0) |
| 401 { | |
| 402 make_unique (); | |
| 403 | |
| 5275 | 404 for (octave_idx_type i = 0; i < a_len; i++) |
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405 xelem (r, c+i) = a.elem (i); |
| 4316 | 406 } |
| 458 | 407 |
| 408 return *this; | |
| 409 } | |
| 410 | |
| 411 ComplexMatrix& | |
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412 ComplexMatrix::insert (const ColumnVector& a, |
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413 octave_idx_type r, octave_idx_type c) |
| 458 | 414 { |
| 5275 | 415 octave_idx_type a_len = a.length (); |
| 4316 | 416 |
| 1699 | 417 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 418 { |
| 419 (*current_liboctave_error_handler) ("range error for insert"); | |
| 420 return *this; | |
| 421 } | |
| 422 | |
| 4316 | 423 if (a_len > 0) |
| 424 { | |
| 425 make_unique (); | |
| 426 | |
| 5275 | 427 for (octave_idx_type i = 0; i < a_len; i++) |
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428 xelem (r+i, c) = a.elem (i); |
| 4316 | 429 } |
| 458 | 430 |
| 431 return *this; | |
| 432 } | |
| 433 | |
| 434 ComplexMatrix& | |
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435 ComplexMatrix::insert (const DiagMatrix& a, |
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436 octave_idx_type r, octave_idx_type c) |
| 458 | 437 { |
| 5275 | 438 octave_idx_type a_nr = a.rows (); |
| 439 octave_idx_type a_nc = a.cols (); | |
| 1699 | 440 |
| 441 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 442 { |
| 443 (*current_liboctave_error_handler) ("range error for insert"); | |
| 444 return *this; | |
| 445 } | |
| 446 | |
| 1699 | 447 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 448 | |
| 5275 | 449 octave_idx_type a_len = a.length (); |
| 4316 | 450 |
| 451 if (a_len > 0) | |
| 452 { | |
| 453 make_unique (); | |
| 454 | |
| 5275 | 455 for (octave_idx_type i = 0; i < a_len; i++) |
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456 xelem (r+i, c+i) = a.elem (i, i); |
| 4316 | 457 } |
| 458 | 458 |
| 459 return *this; | |
| 460 } | |
| 461 | |
| 462 ComplexMatrix& | |
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463 ComplexMatrix::insert (const ComplexMatrix& a, |
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464 octave_idx_type r, octave_idx_type c) |
| 458 | 465 { |
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466 Array<Complex>::insert (a, r, c); |
| 458 | 467 return *this; |
| 468 } | |
| 469 | |
| 470 ComplexMatrix& | |
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471 ComplexMatrix::insert (const ComplexRowVector& a, |
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472 octave_idx_type r, octave_idx_type c) |
| 458 | 473 { |
| 5275 | 474 octave_idx_type a_len = a.length (); |
| 1699 | 475 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 476 { |
| 477 (*current_liboctave_error_handler) ("range error for insert"); | |
| 478 return *this; | |
| 479 } | |
| 480 | |
| 5275 | 481 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 482 elem (r, c+i) = a.elem (i); |
| 483 | |
| 484 return *this; | |
| 485 } | |
| 486 | |
| 487 ComplexMatrix& | |
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488 ComplexMatrix::insert (const ComplexColumnVector& a, |
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489 octave_idx_type r, octave_idx_type c) |
| 458 | 490 { |
| 5275 | 491 octave_idx_type a_len = a.length (); |
| 4316 | 492 |
| 1699 | 493 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 494 { |
| 495 (*current_liboctave_error_handler) ("range error for insert"); | |
| 496 return *this; | |
| 497 } | |
| 498 | |
| 4316 | 499 if (a_len > 0) |
| 500 { | |
| 501 make_unique (); | |
| 502 | |
| 5275 | 503 for (octave_idx_type i = 0; i < a_len; i++) |
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504 xelem (r+i, c) = a.elem (i); |
| 4316 | 505 } |
| 458 | 506 |
| 507 return *this; | |
| 508 } | |
| 509 | |
| 510 ComplexMatrix& | |
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511 ComplexMatrix::insert (const ComplexDiagMatrix& a, |
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512 octave_idx_type r, octave_idx_type c) |
| 458 | 513 { |
| 5275 | 514 octave_idx_type a_nr = a.rows (); |
| 515 octave_idx_type a_nc = a.cols (); | |
| 1699 | 516 |
| 517 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 518 { |
| 519 (*current_liboctave_error_handler) ("range error for insert"); | |
| 520 return *this; | |
| 521 } | |
| 522 | |
| 1699 | 523 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 524 | |
| 5275 | 525 octave_idx_type a_len = a.length (); |
| 4316 | 526 |
| 527 if (a_len > 0) | |
| 528 { | |
| 529 make_unique (); | |
| 530 | |
| 5275 | 531 for (octave_idx_type i = 0; i < a_len; i++) |
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532 xelem (r+i, c+i) = a.elem (i, i); |
| 4316 | 533 } |
| 458 | 534 |
| 535 return *this; | |
| 536 } | |
| 537 | |
| 538 ComplexMatrix& | |
| 539 ComplexMatrix::fill (double val) | |
| 540 { | |
| 5275 | 541 octave_idx_type nr = rows (); |
| 542 octave_idx_type nc = cols (); | |
| 4316 | 543 |
| 458 | 544 if (nr > 0 && nc > 0) |
| 4316 | 545 { |
| 546 make_unique (); | |
| 547 | |
| 5275 | 548 for (octave_idx_type j = 0; j < nc; j++) |
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549 for (octave_idx_type i = 0; i < nr; i++) |
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550 xelem (i, j) = val; |
| 4316 | 551 } |
| 458 | 552 |
| 553 return *this; | |
| 554 } | |
| 555 | |
| 556 ComplexMatrix& | |
| 557 ComplexMatrix::fill (const Complex& val) | |
| 558 { | |
| 5275 | 559 octave_idx_type nr = rows (); |
| 560 octave_idx_type nc = cols (); | |
| 4316 | 561 |
| 458 | 562 if (nr > 0 && nc > 0) |
| 4316 | 563 { |
| 564 make_unique (); | |
| 565 | |
| 5275 | 566 for (octave_idx_type j = 0; j < nc; j++) |
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567 for (octave_idx_type i = 0; i < nr; i++) |
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568 xelem (i, j) = val; |
| 4316 | 569 } |
| 458 | 570 |
| 571 return *this; | |
| 572 } | |
| 573 | |
| 574 ComplexMatrix& | |
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575 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, |
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576 octave_idx_type r2, octave_idx_type c2) |
| 458 | 577 { |
| 5275 | 578 octave_idx_type nr = rows (); |
| 579 octave_idx_type nc = cols (); | |
| 4316 | 580 |
| 458 | 581 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 582 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 583 { | |
| 584 (*current_liboctave_error_handler) ("range error for fill"); | |
| 585 return *this; | |
| 586 } | |
| 587 | |
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588 if (r1 > r2) { std::swap (r1, r2); } |
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589 if (c1 > c2) { std::swap (c1, c2); } |
| 458 | 590 |
| 4316 | 591 if (r2 >= r1 && c2 >= c1) |
| 592 { | |
| 593 make_unique (); | |
| 594 | |
| 5275 | 595 for (octave_idx_type j = c1; j <= c2; j++) |
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596 for (octave_idx_type i = r1; i <= r2; i++) |
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597 xelem (i, j) = val; |
| 4316 | 598 } |
| 458 | 599 |
| 600 return *this; | |
| 601 } | |
| 602 | |
| 603 ComplexMatrix& | |
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604 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, |
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605 octave_idx_type r2, octave_idx_type c2) |
| 458 | 606 { |
| 5275 | 607 octave_idx_type nr = rows (); |
| 608 octave_idx_type nc = cols (); | |
| 4316 | 609 |
| 458 | 610 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 611 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 612 { | |
| 613 (*current_liboctave_error_handler) ("range error for fill"); | |
| 614 return *this; | |
| 615 } | |
| 616 | |
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617 if (r1 > r2) { std::swap (r1, r2); } |
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618 if (c1 > c2) { std::swap (c1, c2); } |
| 458 | 619 |
| 4316 | 620 if (r2 >= r1 && c2 >=c1) |
| 621 { | |
| 622 make_unique (); | |
| 623 | |
| 5275 | 624 for (octave_idx_type j = c1; j <= c2; j++) |
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625 for (octave_idx_type i = r1; i <= r2; i++) |
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626 xelem (i, j) = val; |
| 4316 | 627 } |
| 458 | 628 |
| 629 return *this; | |
| 630 } | |
| 631 | |
| 632 ComplexMatrix | |
| 633 ComplexMatrix::append (const Matrix& a) const | |
| 634 { | |
| 5275 | 635 octave_idx_type nr = rows (); |
| 636 octave_idx_type nc = cols (); | |
| 458 | 637 if (nr != a.rows ()) |
| 638 { | |
| 639 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 640 return *this; | |
| 641 } | |
| 642 | |
| 5275 | 643 octave_idx_type nc_insert = nc; |
| 458 | 644 ComplexMatrix retval (nr, nc + a.cols ()); |
| 645 retval.insert (*this, 0, 0); | |
| 646 retval.insert (a, 0, nc_insert); | |
| 647 return retval; | |
| 648 } | |
| 649 | |
| 650 ComplexMatrix | |
| 651 ComplexMatrix::append (const RowVector& a) const | |
| 652 { | |
| 5275 | 653 octave_idx_type nr = rows (); |
| 654 octave_idx_type nc = cols (); | |
| 458 | 655 if (nr != 1) |
| 656 { | |
| 657 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 658 return *this; | |
| 659 } | |
| 660 | |
| 5275 | 661 octave_idx_type nc_insert = nc; |
| 458 | 662 ComplexMatrix retval (nr, nc + a.length ()); |
| 663 retval.insert (*this, 0, 0); | |
| 664 retval.insert (a, 0, nc_insert); | |
| 665 return retval; | |
| 666 } | |
| 667 | |
| 668 ComplexMatrix | |
| 669 ComplexMatrix::append (const ColumnVector& a) const | |
| 670 { | |
| 5275 | 671 octave_idx_type nr = rows (); |
| 672 octave_idx_type nc = cols (); | |
| 458 | 673 if (nr != a.length ()) |
| 674 { | |
| 675 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 676 return *this; | |
| 677 } | |
| 678 | |
| 5275 | 679 octave_idx_type nc_insert = nc; |
| 458 | 680 ComplexMatrix retval (nr, nc + 1); |
| 681 retval.insert (*this, 0, 0); | |
| 682 retval.insert (a, 0, nc_insert); | |
| 683 return retval; | |
| 684 } | |
| 685 | |
| 686 ComplexMatrix | |
| 687 ComplexMatrix::append (const DiagMatrix& a) const | |
| 688 { | |
| 5275 | 689 octave_idx_type nr = rows (); |
| 690 octave_idx_type nc = cols (); | |
| 458 | 691 if (nr != a.rows ()) |
| 692 { | |
| 693 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 694 return *this; | |
| 695 } | |
| 696 | |
| 5275 | 697 octave_idx_type nc_insert = nc; |
| 458 | 698 ComplexMatrix retval (nr, nc + a.cols ()); |
| 699 retval.insert (*this, 0, 0); | |
| 700 retval.insert (a, 0, nc_insert); | |
| 701 return retval; | |
| 702 } | |
| 703 | |
| 704 ComplexMatrix | |
| 705 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 706 { | |
| 5275 | 707 octave_idx_type nr = rows (); |
| 708 octave_idx_type nc = cols (); | |
| 458 | 709 if (nr != a.rows ()) |
| 710 { | |
| 711 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 712 return *this; | |
| 713 } | |
| 714 | |
| 5275 | 715 octave_idx_type nc_insert = nc; |
| 458 | 716 ComplexMatrix retval (nr, nc + a.cols ()); |
| 717 retval.insert (*this, 0, 0); | |
| 718 retval.insert (a, 0, nc_insert); | |
| 719 return retval; | |
| 720 } | |
| 721 | |
| 722 ComplexMatrix | |
| 723 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 724 { | |
| 5275 | 725 octave_idx_type nr = rows (); |
| 726 octave_idx_type nc = cols (); | |
| 458 | 727 if (nr != 1) |
| 728 { | |
| 729 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 730 return *this; | |
| 731 } | |
| 732 | |
| 5275 | 733 octave_idx_type nc_insert = nc; |
| 458 | 734 ComplexMatrix retval (nr, nc + a.length ()); |
| 735 retval.insert (*this, 0, 0); | |
| 736 retval.insert (a, 0, nc_insert); | |
| 737 return retval; | |
| 738 } | |
| 739 | |
| 740 ComplexMatrix | |
| 741 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 742 { | |
| 5275 | 743 octave_idx_type nr = rows (); |
| 744 octave_idx_type nc = cols (); | |
| 458 | 745 if (nr != a.length ()) |
| 746 { | |
| 747 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 748 return *this; | |
| 749 } | |
| 750 | |
| 5275 | 751 octave_idx_type nc_insert = nc; |
| 458 | 752 ComplexMatrix retval (nr, nc + 1); |
| 753 retval.insert (*this, 0, 0); | |
| 754 retval.insert (a, 0, nc_insert); | |
| 755 return retval; | |
| 756 } | |
| 757 | |
| 758 ComplexMatrix | |
| 759 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 760 { | |
| 5275 | 761 octave_idx_type nr = rows (); |
| 762 octave_idx_type nc = cols (); | |
| 458 | 763 if (nr != a.rows ()) |
| 764 { | |
| 765 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 766 return *this; | |
| 767 } | |
| 768 | |
| 5275 | 769 octave_idx_type nc_insert = nc; |
| 458 | 770 ComplexMatrix retval (nr, nc + a.cols ()); |
| 771 retval.insert (*this, 0, 0); | |
| 772 retval.insert (a, 0, nc_insert); | |
| 773 return retval; | |
| 774 } | |
| 775 | |
| 776 ComplexMatrix | |
| 777 ComplexMatrix::stack (const Matrix& a) const | |
| 778 { | |
| 5275 | 779 octave_idx_type nr = rows (); |
| 780 octave_idx_type nc = cols (); | |
| 458 | 781 if (nc != a.cols ()) |
| 782 { | |
| 783 (*current_liboctave_error_handler) | |
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784 ("column dimension mismatch for stack"); |
| 458 | 785 return *this; |
| 786 } | |
| 787 | |
| 5275 | 788 octave_idx_type nr_insert = nr; |
| 458 | 789 ComplexMatrix retval (nr + a.rows (), nc); |
| 790 retval.insert (*this, 0, 0); | |
| 791 retval.insert (a, nr_insert, 0); | |
| 792 return retval; | |
| 793 } | |
| 794 | |
| 795 ComplexMatrix | |
| 796 ComplexMatrix::stack (const RowVector& a) const | |
| 797 { | |
| 5275 | 798 octave_idx_type nr = rows (); |
| 799 octave_idx_type nc = cols (); | |
| 458 | 800 if (nc != a.length ()) |
| 801 { | |
| 802 (*current_liboctave_error_handler) | |
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803 ("column dimension mismatch for stack"); |
| 458 | 804 return *this; |
| 805 } | |
| 806 | |
| 5275 | 807 octave_idx_type nr_insert = nr; |
| 458 | 808 ComplexMatrix retval (nr + 1, nc); |
| 809 retval.insert (*this, 0, 0); | |
| 810 retval.insert (a, nr_insert, 0); | |
| 811 return retval; | |
| 812 } | |
| 813 | |
| 814 ComplexMatrix | |
| 815 ComplexMatrix::stack (const ColumnVector& a) const | |
| 816 { | |
| 5275 | 817 octave_idx_type nr = rows (); |
| 818 octave_idx_type nc = cols (); | |
| 458 | 819 if (nc != 1) |
| 820 { | |
| 821 (*current_liboctave_error_handler) | |
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822 ("column dimension mismatch for stack"); |
| 458 | 823 return *this; |
| 824 } | |
| 825 | |
| 5275 | 826 octave_idx_type nr_insert = nr; |
| 458 | 827 ComplexMatrix retval (nr + a.length (), nc); |
| 828 retval.insert (*this, 0, 0); | |
| 829 retval.insert (a, nr_insert, 0); | |
| 830 return retval; | |
| 831 } | |
| 832 | |
| 833 ComplexMatrix | |
| 834 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 835 { | |
| 5275 | 836 octave_idx_type nr = rows (); |
| 837 octave_idx_type nc = cols (); | |
| 458 | 838 if (nc != a.cols ()) |
| 839 { | |
| 840 (*current_liboctave_error_handler) | |
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841 ("column dimension mismatch for stack"); |
| 458 | 842 return *this; |
| 843 } | |
| 844 | |
| 5275 | 845 octave_idx_type nr_insert = nr; |
| 458 | 846 ComplexMatrix retval (nr + a.rows (), nc); |
| 847 retval.insert (*this, 0, 0); | |
| 848 retval.insert (a, nr_insert, 0); | |
| 849 return retval; | |
| 850 } | |
| 851 | |
| 852 ComplexMatrix | |
| 853 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 854 { | |
| 5275 | 855 octave_idx_type nr = rows (); |
| 856 octave_idx_type nc = cols (); | |
| 458 | 857 if (nc != a.cols ()) |
| 858 { | |
| 859 (*current_liboctave_error_handler) | |
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860 ("column dimension mismatch for stack"); |
| 458 | 861 return *this; |
| 862 } | |
| 863 | |
| 5275 | 864 octave_idx_type nr_insert = nr; |
| 458 | 865 ComplexMatrix retval (nr + a.rows (), nc); |
| 866 retval.insert (*this, 0, 0); | |
| 867 retval.insert (a, nr_insert, 0); | |
| 868 return retval; | |
| 869 } | |
| 870 | |
| 871 ComplexMatrix | |
| 872 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 873 { | |
| 5275 | 874 octave_idx_type nr = rows (); |
| 875 octave_idx_type nc = cols (); | |
| 458 | 876 if (nc != a.length ()) |
| 877 { | |
| 878 (*current_liboctave_error_handler) | |
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879 ("column dimension mismatch for stack"); |
| 458 | 880 return *this; |
| 881 } | |
| 882 | |
| 5275 | 883 octave_idx_type nr_insert = nr; |
| 458 | 884 ComplexMatrix retval (nr + 1, nc); |
| 885 retval.insert (*this, 0, 0); | |
| 886 retval.insert (a, nr_insert, 0); | |
| 887 return retval; | |
| 888 } | |
| 889 | |
| 890 ComplexMatrix | |
| 891 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 892 { | |
| 5275 | 893 octave_idx_type nr = rows (); |
| 894 octave_idx_type nc = cols (); | |
| 458 | 895 if (nc != 1) |
| 896 { | |
| 897 (*current_liboctave_error_handler) | |
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898 ("column dimension mismatch for stack"); |
| 458 | 899 return *this; |
| 900 } | |
| 901 | |
| 5275 | 902 octave_idx_type nr_insert = nr; |
| 458 | 903 ComplexMatrix retval (nr + a.length (), nc); |
| 904 retval.insert (*this, 0, 0); | |
| 905 retval.insert (a, nr_insert, 0); | |
| 906 return retval; | |
| 907 } | |
| 908 | |
| 909 ComplexMatrix | |
| 910 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 911 { | |
| 5275 | 912 octave_idx_type nr = rows (); |
| 913 octave_idx_type nc = cols (); | |
| 458 | 914 if (nc != a.cols ()) |
| 915 { | |
| 916 (*current_liboctave_error_handler) | |
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917 ("column dimension mismatch for stack"); |
| 458 | 918 return *this; |
| 919 } | |
| 920 | |
| 5275 | 921 octave_idx_type nr_insert = nr; |
| 458 | 922 ComplexMatrix retval (nr + a.rows (), nc); |
| 923 retval.insert (*this, 0, 0); | |
| 924 retval.insert (a, nr_insert, 0); | |
| 925 return retval; | |
| 926 } | |
| 927 | |
| 928 ComplexMatrix | |
| 929 conj (const ComplexMatrix& a) | |
| 930 { | |
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931 return do_mx_unary_map<Complex, Complex, std::conj<double> > (a); |
| 458 | 932 } |
| 933 | |
| 934 // resize is the destructive equivalent for this one | |
| 935 | |
| 936 ComplexMatrix | |
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937 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, |
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938 octave_idx_type r2, octave_idx_type c2) const |
| 458 | 939 { |
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940 if (r1 > r2) { std::swap (r1, r2); } |
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941 if (c1 > c2) { std::swap (c1, c2); } |
| 5275 | 942 |
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943 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
| 4316 | 944 } |
| 945 | |
| 946 ComplexMatrix | |
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947 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, |
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948 octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 949 { |
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950 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
| 458 | 951 } |
| 952 | |
| 953 // extract row or column i. | |
| 954 | |
| 955 ComplexRowVector | |
| 5275 | 956 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 957 { |
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958 return index (idx_vector (i), idx_vector::colon); |
| 458 | 959 } |
| 960 | |
| 961 ComplexColumnVector | |
| 5275 | 962 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 963 { |
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964 return index (idx_vector::colon, idx_vector (i)); |
| 458 | 965 } |
| 966 | |
| 967 ComplexMatrix | |
| 968 ComplexMatrix::inverse (void) const | |
| 969 { | |
| 5275 | 970 octave_idx_type info; |
| 7788 | 971 double rcon; |
| 6207 | 972 MatrixType mattype (*this); |
| 7788 | 973 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 974 } |
| 975 | |
| 976 ComplexMatrix | |
| 6479 | 977 ComplexMatrix::inverse (octave_idx_type& info) const |
| 978 { | |
| 7788 | 979 double rcon; |
| 6479 | 980 MatrixType mattype (*this); |
| 7788 | 981 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 982 } |
| 983 | |
| 984 ComplexMatrix | |
| 7788 | 985 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
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986 int calc_cond) const |
| 6479 | 987 { |
| 988 MatrixType mattype (*this); | |
| 7788 | 989 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 990 } |
| 991 | |
| 992 ComplexMatrix | |
| 6207 | 993 ComplexMatrix::inverse (MatrixType &mattype) const |
| 994 { | |
| 995 octave_idx_type info; | |
| 7788 | 996 double rcon; |
| 997 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 998 } |
| 999 | |
| 1000 ComplexMatrix | |
| 1001 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 1002 { | |
| 7788 | 1003 double rcon; |
| 1004 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 1005 } |
| 1006 | |
| 1007 ComplexMatrix | |
| 6207 | 1008 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
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1009 double& rcon, int force, int calc_cond) const |
| 458 | 1010 { |
| 6207 | 1011 ComplexMatrix retval; |
| 1012 | |
| 1013 octave_idx_type nr = rows (); | |
| 1014 octave_idx_type nc = cols (); | |
| 1015 | |
| 1016 if (nr != nc || nr == 0 || nc == 0) | |
| 1017 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1018 else | |
| 1019 { | |
| 1020 int typ = mattype.type (); | |
| 1021 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1022 char udiag = 'N'; | |
| 1023 retval = *this; | |
| 1024 Complex *tmp_data = retval.fortran_vec (); | |
| 1025 | |
| 1026 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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1027 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1028 nr, tmp_data, nr, info |
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1029 F77_CHAR_ARG_LEN (1) |
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1030 F77_CHAR_ARG_LEN (1))); |
| 6207 | 1031 |
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1032 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1033 rcon = 0.0; |
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1034 if (info != 0) |
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1035 info = -1; |
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1036 else if (calc_cond) |
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1037 { |
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1038 octave_idx_type ztrcon_info = 0; |
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1039 char job = '1'; |
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1040 |
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1041 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1042 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1043 |
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1044 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1045 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1046 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1047 nr, tmp_data, nr, rcon, |
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1048 cwork, rwork, ztrcon_info |
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1049 F77_CHAR_ARG_LEN (1) |
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1050 F77_CHAR_ARG_LEN (1) |
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1051 F77_CHAR_ARG_LEN (1))); |
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1052 |
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1053 if (ztrcon_info != 0) |
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1054 info = -1; |
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1055 } |
| 6207 | 1056 |
| 1057 if (info == -1 && ! force) | |
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1058 retval = *this; // Restore matrix contents. |
| 6207 | 1059 } |
| 1060 | |
| 1061 return retval; | |
| 458 | 1062 } |
| 1063 | |
| 1064 ComplexMatrix | |
| 6207 | 1065 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
|
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1066 double& rcon, int force, int calc_cond) const |
| 458 | 1067 { |
| 1948 | 1068 ComplexMatrix retval; |
| 1069 | |
| 5275 | 1070 octave_idx_type nr = rows (); |
| 1071 octave_idx_type nc = cols (); | |
| 1948 | 1072 |
| 458 | 1073 if (nr != nc) |
| 1948 | 1074 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1075 else |
| 1076 { | |
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1077 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
| 5275 | 1078 octave_idx_type *pipvt = ipvt.fortran_vec (); |
| 1948 | 1079 |
| 1080 retval = *this; | |
| 1081 Complex *tmp_data = retval.fortran_vec (); | |
| 1082 | |
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1083 Array<Complex> z (dim_vector (1, 1)); |
| 5275 | 1084 octave_idx_type lwork = -1; |
| 4330 | 1085 |
| 1086 // Query the optimum work array size. | |
| 4329 | 1087 |
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1088 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1089 z.fortran_vec (), lwork, info)); |
| 4329 | 1090 |
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1091 lwork = static_cast<octave_idx_type> (std::real (z(0))); |
| 4329 | 1092 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1093 z.resize (dim_vector (lwork, 1)); |
| 4329 | 1094 Complex *pz = z.fortran_vec (); |
| 1095 | |
| 1096 info = 0; | |
| 1097 | |
| 4330 | 1098 // Calculate the norm of the matrix, for later use. |
| 4329 | 1099 double anorm; |
| 1100 if (calc_cond) | |
|
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1101 anorm = retval.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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1102 .max (); |
| 4329 | 1103 |
| 1104 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1105 |
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1106 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1107 rcon = 0.0; |
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1108 if (info != 0) |
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1109 info = -1; |
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1110 else if (calc_cond) |
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1111 { |
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1112 // Now calculate the condition number for non-singular matrix. |
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1113 octave_idx_type zgecon_info = 0; |
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1114 char job = '1'; |
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1115 Array<double> rz (dim_vector (2 * nc, 1)); |
|
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1116 double *prz = rz.fortran_vec (); |
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1117 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1118 nc, tmp_data, nr, anorm, |
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1119 rcon, pz, prz, zgecon_info |
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1120 F77_CHAR_ARG_LEN (1))); |
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1121 |
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1122 if (zgecon_info != 0) |
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1123 info = -1; |
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1124 } |
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1125 |
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1126 if (info == -1 && ! force) |
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1127 retval = *this; // Restore contents. |
| 1948 | 1128 else |
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1129 { |
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1130 octave_idx_type zgetri_info = 0; |
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1131 |
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1132 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1133 pz, lwork, zgetri_info)); |
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1134 |
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1135 if (zgetri_info != 0) |
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1136 info = -1; |
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1137 } |
| 6207 | 1138 |
| 1139 if (info != 0) | |
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1140 mattype.mark_as_rectangular (); |
| 458 | 1141 } |
|
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1142 |
| 1948 | 1143 return retval; |
| 458 | 1144 } |
| 1145 | |
| 1146 ComplexMatrix | |
| 6207 | 1147 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
|
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1148 double& rcon, int force, int calc_cond) const |
| 6207 | 1149 { |
| 1150 int typ = mattype.type (false); | |
| 1151 ComplexMatrix ret; | |
| 1152 | |
| 1153 if (typ == MatrixType::Unknown) | |
| 1154 typ = mattype.type (*this); | |
| 1155 | |
| 1156 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1157 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1158 else |
| 6207 | 1159 { |
| 1160 if (mattype.is_hermitian ()) | |
|
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1161 { |
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1162 ComplexCHOL chol (*this, info, calc_cond); |
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1163 if (info == 0) |
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1164 { |
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1165 if (calc_cond) |
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1166 rcon = chol.rcond (); |
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1167 else |
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1168 rcon = 1.0; |
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1169 ret = chol.inverse (); |
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1170 } |
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1171 else |
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1172 mattype.mark_as_unsymmetric (); |
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1173 } |
| 6207 | 1174 |
| 1175 if (!mattype.is_hermitian ()) | |
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1176 ret = finverse (mattype, info, rcon, force, calc_cond); |
| 7788 | 1177 |
| 1178 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
|
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1179 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1180 } |
| 1181 | |
| 1182 return ret; | |
| 1183 } | |
| 1184 | |
| 1185 ComplexMatrix | |
| 4384 | 1186 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1187 { |
| 1549 | 1188 ComplexMatrix retval; |
| 1189 | |
| 3480 | 1190 ComplexSVD result (*this, SVD::economy); |
| 740 | 1191 |
| 1192 DiagMatrix S = result.singular_values (); | |
| 1193 ComplexMatrix U = result.left_singular_matrix (); | |
| 1194 ComplexMatrix V = result.right_singular_matrix (); | |
| 1195 | |
|
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1196 ColumnVector sigma = S.extract_diag (); |
| 740 | 1197 |
| 5275 | 1198 octave_idx_type r = sigma.length () - 1; |
| 1199 octave_idx_type nr = rows (); | |
| 1200 octave_idx_type nc = cols (); | |
| 740 | 1201 |
| 1202 if (tol <= 0.0) | |
| 1203 { | |
| 1204 if (nr > nc) | |
|
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1205 tol = nr * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
| 740 | 1206 else |
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1207 tol = nc * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
| 740 | 1208 } |
| 1209 | |
| 1210 while (r >= 0 && sigma.elem (r) < tol) | |
| 1211 r--; | |
| 1212 | |
| 1213 if (r < 0) | |
| 1549 | 1214 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1215 else |
| 1216 { | |
| 1217 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1218 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1219 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1220 retval = Vr * D * Ur.hermitian (); |
| 740 | 1221 } |
| 1549 | 1222 |
| 1223 return retval; | |
| 740 | 1224 } |
| 1225 | |
|
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1226 #if defined (HAVE_FFTW) |
| 3827 | 1227 |
| 1228 ComplexMatrix | |
| 1229 ComplexMatrix::fourier (void) const | |
| 1230 { | |
| 1231 size_t nr = rows (); | |
| 1232 size_t nc = cols (); | |
| 1233 | |
| 1234 ComplexMatrix retval (nr, nc); | |
| 1235 | |
| 1236 size_t npts, nsamples; | |
| 1237 | |
| 1238 if (nr == 1 || nc == 1) | |
| 1239 { | |
| 1240 npts = nr > nc ? nr : nc; | |
| 1241 nsamples = 1; | |
| 1242 } | |
| 1243 else | |
| 1244 { | |
| 1245 npts = nr; | |
| 1246 nsamples = nc; | |
| 1247 } | |
| 1248 | |
| 1249 const Complex *in (data ()); | |
| 1250 Complex *out (retval.fortran_vec ()); | |
| 1251 | |
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1252 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1253 |
| 1254 return retval; | |
| 1255 } | |
| 1256 | |
| 1257 ComplexMatrix | |
| 1258 ComplexMatrix::ifourier (void) const | |
| 1259 { | |
| 1260 size_t nr = rows (); | |
| 1261 size_t nc = cols (); | |
| 1262 | |
| 1263 ComplexMatrix retval (nr, nc); | |
| 1264 | |
| 1265 size_t npts, nsamples; | |
| 1266 | |
| 1267 if (nr == 1 || nc == 1) | |
| 1268 { | |
| 1269 npts = nr > nc ? nr : nc; | |
| 1270 nsamples = 1; | |
| 1271 } | |
| 1272 else | |
| 1273 { | |
| 1274 npts = nr; | |
| 1275 nsamples = nc; | |
| 1276 } | |
| 1277 | |
| 1278 const Complex *in (data ()); | |
| 1279 Complex *out (retval.fortran_vec ()); | |
| 1280 | |
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1281 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1282 |
| 1283 return retval; | |
| 1284 } | |
| 1285 | |
| 1286 ComplexMatrix | |
| 1287 ComplexMatrix::fourier2d (void) const | |
| 1288 { | |
| 4773 | 1289 dim_vector dv(rows (), cols ()); |
| 1290 | |
| 1291 ComplexMatrix retval (rows (), cols ()); | |
| 1292 const Complex *in (data ()); | |
| 1293 Complex *out (retval.fortran_vec ()); | |
| 1294 | |
| 1295 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1296 |
| 1297 return retval; | |
| 1298 } | |
| 1299 | |
| 1300 ComplexMatrix | |
| 1301 ComplexMatrix::ifourier2d (void) const | |
| 1302 { | |
| 4773 | 1303 dim_vector dv(rows (), cols ()); |
| 1304 | |
| 1305 ComplexMatrix retval (rows (), cols ()); | |
| 1306 const Complex *in (data ()); | |
| 1307 Complex *out (retval.fortran_vec ()); | |
| 1308 | |
| 1309 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1310 |
| 1311 return retval; | |
| 1312 } | |
| 1313 | |
| 1314 #else | |
| 1315 | |
|
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1316 extern "C" |
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1317 { |
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1318 // Note that the original complex fft routines were not written for |
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1319 // double complex arguments. They have been modified by adding an |
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1320 // implicit double precision (a-h,o-z) statement at the beginning of |
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1321 // each subroutine. |
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1322 |
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1323 F77_RET_T |
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1324 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1325 |
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1326 F77_RET_T |
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1327 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1328 |
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1329 F77_RET_T |
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1330 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1331 } |
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1332 |
| 740 | 1333 ComplexMatrix |
| 458 | 1334 ComplexMatrix::fourier (void) const |
| 1335 { | |
| 1948 | 1336 ComplexMatrix retval; |
| 1337 | |
| 5275 | 1338 octave_idx_type nr = rows (); |
| 1339 octave_idx_type nc = cols (); | |
| 1340 | |
| 1341 octave_idx_type npts, nsamples; | |
| 1948 | 1342 |
| 458 | 1343 if (nr == 1 || nc == 1) |
| 1344 { | |
| 1345 npts = nr > nc ? nr : nc; | |
| 1346 nsamples = 1; | |
| 1347 } | |
| 1348 else | |
| 1349 { | |
| 1350 npts = nr; | |
| 1351 nsamples = nc; | |
| 1352 } | |
| 1353 | |
| 5275 | 1354 octave_idx_type nn = 4*npts+15; |
| 1948 | 1355 |
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1356 Array<Complex> wsave (nn, 1); |
| 1948 | 1357 Complex *pwsave = wsave.fortran_vec (); |
| 1358 | |
| 1359 retval = *this; | |
| 1360 Complex *tmp_data = retval.fortran_vec (); | |
| 1361 | |
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1362 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1363 |
| 5275 | 1364 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1365 { |
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1366 octave_quit (); |
| 4153 | 1367 |
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1368 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1369 } |
| 1948 | 1370 |
| 1371 return retval; | |
| 458 | 1372 } |
| 1373 | |
| 1374 ComplexMatrix | |
| 1375 ComplexMatrix::ifourier (void) const | |
| 1376 { | |
| 1948 | 1377 ComplexMatrix retval; |
| 1378 | |
| 5275 | 1379 octave_idx_type nr = rows (); |
| 1380 octave_idx_type nc = cols (); | |
| 1381 | |
| 1382 octave_idx_type npts, nsamples; | |
| 1948 | 1383 |
| 458 | 1384 if (nr == 1 || nc == 1) |
| 1385 { | |
| 1386 npts = nr > nc ? nr : nc; | |
| 1387 nsamples = 1; | |
| 1388 } | |
| 1389 else | |
| 1390 { | |
| 1391 npts = nr; | |
| 1392 nsamples = nc; | |
| 1393 } | |
| 1394 | |
| 5275 | 1395 octave_idx_type nn = 4*npts+15; |
| 1948 | 1396 |
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1397 Array<Complex> wsave (nn, 1); |
| 1948 | 1398 Complex *pwsave = wsave.fortran_vec (); |
| 1399 | |
| 1400 retval = *this; | |
| 1401 Complex *tmp_data = retval.fortran_vec (); | |
| 1402 | |
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1403 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1404 |
| 5275 | 1405 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1406 { |
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1407 octave_quit (); |
| 4153 | 1408 |
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1409 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1410 } |
| 458 | 1411 |
| 5275 | 1412 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1413 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1414 |
| 1948 | 1415 return retval; |
| 458 | 1416 } |
| 1417 | |
| 677 | 1418 ComplexMatrix |
| 1419 ComplexMatrix::fourier2d (void) const | |
| 1420 { | |
| 1948 | 1421 ComplexMatrix retval; |
| 1422 | |
| 5275 | 1423 octave_idx_type nr = rows (); |
| 1424 octave_idx_type nc = cols (); | |
| 1425 | |
| 1426 octave_idx_type npts, nsamples; | |
| 1948 | 1427 |
| 677 | 1428 if (nr == 1 || nc == 1) |
| 1429 { | |
| 1430 npts = nr > nc ? nr : nc; | |
| 1431 nsamples = 1; | |
| 1432 } | |
| 1433 else | |
| 1434 { | |
| 1435 npts = nr; | |
| 1436 nsamples = nc; | |
| 1437 } | |
| 1438 | |
| 5275 | 1439 octave_idx_type nn = 4*npts+15; |
| 1948 | 1440 |
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1441 Array<Complex> wsave (nn, 1); |
| 1948 | 1442 Complex *pwsave = wsave.fortran_vec (); |
| 1443 | |
| 1444 retval = *this; | |
| 1445 Complex *tmp_data = retval.fortran_vec (); | |
| 1446 | |
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1447 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1448 |
| 5275 | 1449 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1450 { |
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1451 octave_quit (); |
| 4153 | 1452 |
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1453 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1454 } |
| 677 | 1455 |
| 1456 npts = nc; | |
| 1457 nsamples = nr; | |
| 1458 nn = 4*npts+15; | |
| 1948 | 1459 |
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1460 wsave.resize (dim_vector (nn, 1)); |
| 1948 | 1461 pwsave = wsave.fortran_vec (); |
| 1462 | |
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1463 Array<Complex> tmp (npts, 1); |
| 4773 | 1464 Complex *prow = tmp.fortran_vec (); |
| 1948 | 1465 |
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1466 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1467 |
| 5275 | 1468 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1469 { |
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1470 octave_quit (); |
| 4153 | 1471 |
| 5275 | 1472 for (octave_idx_type i = 0; i < npts; i++) |
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1473 prow[i] = tmp_data[i*nr + j]; |
| 1948 | 1474 |
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1475 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1476 |
| 5275 | 1477 for (octave_idx_type i = 0; i < npts; i++) |
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1478 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1479 } |
| 1480 | |
| 1948 | 1481 return retval; |
| 677 | 1482 } |
| 1483 | |
| 1484 ComplexMatrix | |
| 1485 ComplexMatrix::ifourier2d (void) const | |
| 1486 { | |
| 1948 | 1487 ComplexMatrix retval; |
| 1488 | |
| 5275 | 1489 octave_idx_type nr = rows (); |
| 1490 octave_idx_type nc = cols (); | |
| 1491 | |
| 1492 octave_idx_type npts, nsamples; | |
| 1948 | 1493 |
| 677 | 1494 if (nr == 1 || nc == 1) |
| 1495 { | |
| 1496 npts = nr > nc ? nr : nc; | |
| 1497 nsamples = 1; | |
| 1498 } | |
| 1499 else | |
| 1500 { | |
| 1501 npts = nr; | |
| 1502 nsamples = nc; | |
| 1503 } | |
| 1504 | |
| 5275 | 1505 octave_idx_type nn = 4*npts+15; |
| 1948 | 1506 |
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1507 Array<Complex> wsave (nn, 1); |
| 1948 | 1508 Complex *pwsave = wsave.fortran_vec (); |
| 1509 | |
| 1510 retval = *this; | |
| 1511 Complex *tmp_data = retval.fortran_vec (); | |
| 1512 | |
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1513 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1514 |
| 5275 | 1515 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1516 { |
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1517 octave_quit (); |
| 4153 | 1518 |
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1519 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1520 } |
| 677 | 1521 |
| 5275 | 1522 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1523 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1524 |
| 1525 npts = nc; | |
| 1526 nsamples = nr; | |
| 1527 nn = 4*npts+15; | |
| 1948 | 1528 |
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1529 wsave.resize (dim_vector (nn, 1)); |
| 1948 | 1530 pwsave = wsave.fortran_vec (); |
| 1531 | |
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1532 Array<Complex> tmp (npts, 1); |
| 4773 | 1533 Complex *prow = tmp.fortran_vec (); |
| 1948 | 1534 |
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1535 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1536 |
| 5275 | 1537 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1538 { |
|
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1539 octave_quit (); |
| 4153 | 1540 |
| 5275 | 1541 for (octave_idx_type i = 0; i < npts; i++) |
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1542 prow[i] = tmp_data[i*nr + j]; |
| 1948 | 1543 |
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1544 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1545 |
| 5275 | 1546 for (octave_idx_type i = 0; i < npts; i++) |
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1547 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1548 } |
| 1549 | |
| 1948 | 1550 return retval; |
| 677 | 1551 } |
| 1552 | |
| 3827 | 1553 #endif |
| 1554 | |
| 458 | 1555 ComplexDET |
| 1556 ComplexMatrix::determinant (void) const | |
| 1557 { | |
| 5275 | 1558 octave_idx_type info; |
| 7788 | 1559 double rcon; |
| 1560 return determinant (info, rcon, 0); | |
| 458 | 1561 } |
| 1562 | |
| 1563 ComplexDET | |
| 5275 | 1564 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1565 { |
| 7788 | 1566 double rcon; |
| 1567 return determinant (info, rcon, 0); | |
| 458 | 1568 } |
| 1569 | |
| 1570 ComplexDET | |
|
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1571 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, |
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1572 int calc_cond) const |
| 458 | 1573 { |
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1574 MatrixType mattype (*this); |
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1575 return determinant (mattype, info, rcon, calc_cond); |
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1576 } |
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1577 |
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1578 ComplexDET |
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1579 ComplexMatrix::determinant (MatrixType& mattype, |
| 8806 | 1580 octave_idx_type& info, double& rcon, |
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1581 int calc_cond) const |
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1582 { |
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1583 ComplexDET retval (1.0); |
| 458 | 1584 |
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1585 info = 0; |
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1586 rcon = 0.0; |
|
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|
1587 |
| 5275 | 1588 octave_idx_type nr = rows (); |
| 1589 octave_idx_type nc = cols (); | |
| 458 | 1590 |
|
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|
1591 if (nr != nc) |
|
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|
1592 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1593 else |
| 1594 { | |
| 8806 | 1595 volatile int typ = mattype.type (); |
|
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|
1596 |
|
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|
1597 // Even though the matrix is marked as singular (Rectangular), we may |
|
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|
1598 // still get a useful number from the LU factorization, because it always |
|
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|
1599 // completes. |
|
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|
1600 |
|
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|
1601 if (typ == MatrixType::Unknown) |
|
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|
1602 typ = mattype.type (*this); |
|
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|
1603 else if (typ == MatrixType::Rectangular) |
|
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|
1604 typ = MatrixType::Full; |
|
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|
1605 |
|
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|
1606 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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|
1607 { |
|
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|
1608 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1609 retval *= elem (i,i); |
|
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|
1610 } |
|
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|
1611 else if (typ == MatrixType::Hermitian) |
|
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|
1612 { |
|
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|
1613 ComplexMatrix atmp = *this; |
|
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|
1614 Complex *tmp_data = atmp.fortran_vec (); |
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|
1615 |
|
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|
1616 double anorm = 0; |
|
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|
1617 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1618 |
|
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|
1619 |
|
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|
1620 char job = 'L'; |
|
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|
1621 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1622 tmp_data, nr, info |
|
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|
1623 F77_CHAR_ARG_LEN (1))); |
|
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|
1624 |
|
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|
1625 if (info != 0) |
|
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|
1626 { |
|
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|
1627 rcon = 0.0; |
|
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|
1628 mattype.mark_as_unsymmetric (); |
|
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|
1629 typ = MatrixType::Full; |
|
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|
1630 } |
|
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|
1631 else |
|
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|
1632 { |
|
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|
1633 Array<Complex> z (dim_vector (2 * nc, 1)); |
|
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|
1634 Complex *pz = z.fortran_vec (); |
|
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|
1635 Array<double> rz (dim_vector (nc, 1)); |
|
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|
1636 double *prz = rz.fortran_vec (); |
|
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|
1637 |
|
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|
1638 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1639 nr, tmp_data, nr, anorm, |
|
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|
1640 rcon, pz, prz, info |
|
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|
1641 F77_CHAR_ARG_LEN (1))); |
|
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|
1642 |
|
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|
1643 if (info != 0) |
|
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|
1644 rcon = 0.0; |
|
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|
1645 |
|
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|
1646 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1647 retval *= atmp (i,i); |
|
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|
1648 |
|
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|
1649 retval = retval.square (); |
|
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|
1650 } |
|
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|
1651 } |
|
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|
1652 else if (typ != MatrixType::Full) |
|
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|
1653 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1654 |
|
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|
1655 if (typ == MatrixType::Full) |
|
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|
1656 { |
|
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|
1657 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
8336
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|
1658 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1659 |
|
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changeset
|
1660 ComplexMatrix atmp = *this; |
|
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|
1661 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1662 |
|
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|
1663 info = 0; |
|
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|
1664 |
|
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|
1665 // Calculate the norm of the matrix, for later use. |
|
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|
1666 double anorm = 0; |
|
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|
1667 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1668 |
|
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changeset
|
1669 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1670 |
|
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|
1671 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
1672 rcon = 0.0; |
|
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|
1673 if (info != 0) |
|
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|
1674 { |
|
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|
1675 info = -1; |
|
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|
1676 retval = ComplexDET (); |
|
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|
1677 } |
|
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|
1678 else |
|
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|
1679 { |
|
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|
1680 if (calc_cond) |
|
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|
1681 { |
|
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|
1682 // Now calc the condition number for non-singular matrix. |
|
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|
1683 char job = '1'; |
|
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|
1684 Array<Complex> z (dim_vector (2 * nc, 1)); |
|
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|
1685 Complex *pz = z.fortran_vec (); |
|
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|
1686 Array<double> rz (dim_vector (2 * nc, 1)); |
|
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|
1687 double *prz = rz.fortran_vec (); |
|
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|
1688 |
|
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|
1689 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1690 nc, tmp_data, nr, anorm, |
|
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|
1691 rcon, pz, prz, info |
|
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|
1692 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1693 } |
|
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|
1694 |
|
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|
1695 if (info != 0) |
|
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|
1696 { |
|
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|
1697 info = -1; |
|
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|
1698 retval = ComplexDET (); |
|
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|
1699 } |
|
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|
1700 else |
|
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|
1701 { |
|
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|
1702 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1703 { |
|
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changeset
|
1704 Complex c = atmp(i,i); |
|
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|
1705 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1706 } |
|
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|
1707 } |
|
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changeset
|
1708 } |
|
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1709 } |
| 458 | 1710 } |
|
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1711 |
| 458 | 1712 return retval; |
| 1713 } | |
| 1714 | |
| 7788 | 1715 double |
| 1716 ComplexMatrix::rcond (void) const | |
| 1717 { | |
| 1718 MatrixType mattype (*this); | |
| 1719 return rcond (mattype); | |
| 1720 } | |
| 1721 | |
| 1722 double | |
| 1723 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1724 { | |
| 1725 double rcon; | |
| 1726 octave_idx_type nr = rows (); | |
| 1727 octave_idx_type nc = cols (); | |
| 1728 | |
| 1729 if (nr != nc) | |
| 1730 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1731 else if (nr == 0 || nc == 0) | |
| 1732 rcon = octave_Inf; | |
| 1733 else | |
| 1734 { | |
|
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|
1735 volatile int typ = mattype.type (); |
| 7788 | 1736 |
| 1737 if (typ == MatrixType::Unknown) | |
|
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|
1738 typ = mattype.type (*this); |
| 7788 | 1739 |
| 1740 // Only calculate the condition number for LU/Cholesky | |
| 1741 if (typ == MatrixType::Upper) | |
|
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1742 { |
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1743 const Complex *tmp_data = fortran_vec (); |
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1744 octave_idx_type info = 0; |
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1745 char norm = '1'; |
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1746 char uplo = 'U'; |
|
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1747 char dia = 'N'; |
|
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1748 |
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1749 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1750 Complex *pz = z.fortran_vec (); |
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1751 Array<double> rz (dim_vector (nc, 1)); |
|
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1752 double *prz = rz.fortran_vec (); |
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1753 |
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1754 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1755 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1756 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1757 nr, tmp_data, nr, rcon, |
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1758 pz, prz, info |
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1759 F77_CHAR_ARG_LEN (1) |
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1760 F77_CHAR_ARG_LEN (1) |
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1761 F77_CHAR_ARG_LEN (1))); |
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1762 |
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1763 if (info != 0) |
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1764 rcon = 0; |
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1765 } |
| 7788 | 1766 else if (typ == MatrixType::Permuted_Upper) |
|
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1767 (*current_liboctave_error_handler) |
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1768 ("permuted triangular matrix not implemented"); |
| 7788 | 1769 else if (typ == MatrixType::Lower) |
|
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1770 { |
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1771 const Complex *tmp_data = fortran_vec (); |
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1772 octave_idx_type info = 0; |
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1773 char norm = '1'; |
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1774 char uplo = 'L'; |
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1775 char dia = 'N'; |
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|
1776 |
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|
1777 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1778 Complex *pz = z.fortran_vec (); |
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1779 Array<double> rz (dim_vector (nc, 1)); |
|
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1780 double *prz = rz.fortran_vec (); |
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1781 |
|
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1782 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1783 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1784 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1785 nr, tmp_data, nr, rcon, |
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1786 pz, prz, info |
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1787 F77_CHAR_ARG_LEN (1) |
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1788 F77_CHAR_ARG_LEN (1) |
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1789 F77_CHAR_ARG_LEN (1))); |
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1790 |
|
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1791 if (info != 0) |
|
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1792 rcon = 0.0; |
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1793 } |
| 7788 | 1794 else if (typ == MatrixType::Permuted_Lower) |
|
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1795 (*current_liboctave_error_handler) |
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1796 ("permuted triangular matrix not implemented"); |
| 7788 | 1797 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
|
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1798 { |
|
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1799 double anorm = -1.0; |
|
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1800 |
|
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1801 if (typ == MatrixType::Hermitian) |
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1802 { |
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1803 octave_idx_type info = 0; |
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1804 char job = 'L'; |
|
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1805 |
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1806 ComplexMatrix atmp = *this; |
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1807 Complex *tmp_data = atmp.fortran_vec (); |
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1808 |
|
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1809 anorm = atmp.abs().sum(). |
|
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|
1810 row(static_cast<octave_idx_type>(0)).max(); |
|
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1811 |
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1812 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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1813 tmp_data, nr, info |
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1814 F77_CHAR_ARG_LEN (1))); |
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1815 |
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1816 if (info != 0) |
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1817 { |
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1818 rcon = 0.0; |
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1819 |
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1820 mattype.mark_as_unsymmetric (); |
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1821 typ = MatrixType::Full; |
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1822 } |
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1823 else |
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1824 { |
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1825 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1826 Complex *pz = z.fortran_vec (); |
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1827 Array<double> rz (dim_vector (nc, 1)); |
|
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1828 double *prz = rz.fortran_vec (); |
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1829 |
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1830 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1831 nr, tmp_data, nr, anorm, |
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1832 rcon, pz, prz, info |
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1833 F77_CHAR_ARG_LEN (1))); |
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1834 |
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1835 if (info != 0) |
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1836 rcon = 0.0; |
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1837 } |
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1838 } |
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1839 |
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1840 |
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1841 if (typ == MatrixType::Full) |
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1842 { |
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|
1843 octave_idx_type info = 0; |
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1844 |
|
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|
1845 ComplexMatrix atmp = *this; |
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|
1846 Complex *tmp_data = atmp.fortran_vec (); |
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1847 |
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|
1848 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
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1849 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1850 |
|
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1851 if (anorm < 0.) |
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1852 anorm = atmp.abs ().sum (). |
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1853 row(static_cast<octave_idx_type>(0)).max (); |
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1854 |
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1855 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1856 Complex *pz = z.fortran_vec (); |
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1857 Array<double> rz (dim_vector (2 * nc, 1)); |
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1858 double *prz = rz.fortran_vec (); |
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1859 |
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1860 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1861 |
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1862 if (info != 0) |
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1863 { |
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1864 rcon = 0.0; |
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1865 mattype.mark_as_rectangular (); |
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1866 } |
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1867 else |
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1868 { |
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1869 char job = '1'; |
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1870 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1871 nc, tmp_data, nr, anorm, |
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1872 rcon, pz, prz, info |
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1873 F77_CHAR_ARG_LEN (1))); |
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1874 |
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1875 if (info != 0) |
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1876 rcon = 0.0; |
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1877 } |
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1878 } |
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1879 } |
| 7788 | 1880 else |
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1881 rcon = 0.0; |
| 7788 | 1882 } |
| 1883 | |
| 1884 return rcon; | |
| 1885 } | |
| 1886 | |
| 458 | 1887 ComplexMatrix |
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1888 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1889 octave_idx_type& info, double& rcon, |
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1890 solve_singularity_handler sing_handler, |
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1891 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1892 { |
| 1893 ComplexMatrix retval; | |
| 1894 | |
| 1895 octave_idx_type nr = rows (); | |
| 1896 octave_idx_type nc = cols (); | |
| 1897 | |
| 6924 | 1898 if (nr != b.rows ()) |
| 5785 | 1899 (*current_liboctave_error_handler) |
| 1900 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1901 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1902 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1903 else |
| 1904 { | |
| 1905 volatile int typ = mattype.type (); | |
| 1906 | |
| 1907 if (typ == MatrixType::Permuted_Upper || | |
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1908 typ == MatrixType::Upper) |
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1909 { |
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1910 octave_idx_type b_nc = b.cols (); |
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1911 rcon = 1.; |
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1912 info = 0; |
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1913 |
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1914 if (typ == MatrixType::Permuted_Upper) |
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1915 { |
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1916 (*current_liboctave_error_handler) |
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1917 ("permuted triangular matrix not implemented"); |
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1918 } |
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1919 else |
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1920 { |
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1921 const Complex *tmp_data = fortran_vec (); |
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1922 |
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1923 if (calc_cond) |
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1924 { |
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1925 char norm = '1'; |
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1926 char uplo = 'U'; |
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1927 char dia = 'N'; |
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1928 |
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1929 Array<Complex> z (dim_vector (2 * nc, 1)); |
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1930 Complex *pz = z.fortran_vec (); |
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1931 Array<double> rz (dim_vector (nc, 1)); |
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1932 double *prz = rz.fortran_vec (); |
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1933 |
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1934 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1935 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1936 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1937 nr, tmp_data, nr, rcon, |
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1938 pz, prz, info |
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1939 F77_CHAR_ARG_LEN (1) |
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1940 F77_CHAR_ARG_LEN (1) |
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1941 F77_CHAR_ARG_LEN (1))); |
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1942 |
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1943 if (info != 0) |
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1944 info = -2; |
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1945 |
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1946 volatile double rcond_plus_one = rcon + 1.0; |
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1947 |
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1948 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1949 { |
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1950 info = -2; |
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1951 |
|
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1952 if (sing_handler) |
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1953 sing_handler (rcon); |
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1954 else |
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1955 (*current_liboctave_error_handler) |
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1956 ("matrix singular to machine precision, rcond = %g", |
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1957 rcon); |
|
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1958 } |
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1959 } |
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1960 |
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1961 if (info == 0) |
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1962 { |
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1963 retval = b; |
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1964 Complex *result = retval.fortran_vec (); |
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1965 |
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1966 char uplo = 'U'; |
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1967 char trans = get_blas_char (transt); |
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1968 char dia = 'N'; |
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1969 |
|
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1970 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1971 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1972 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1973 nr, b_nc, tmp_data, nr, |
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1974 result, nr, info |
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1975 F77_CHAR_ARG_LEN (1) |
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1976 F77_CHAR_ARG_LEN (1) |
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1977 F77_CHAR_ARG_LEN (1))); |
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1978 } |
|
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1979 } |
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1980 } |
| 5785 | 1981 else |
|
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1982 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5785 | 1983 } |
| 1984 | |
| 1985 return retval; | |
| 1986 } | |
| 1987 | |
| 1988 ComplexMatrix | |
|
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1989 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1990 octave_idx_type& info, double& rcon, |
|
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1991 solve_singularity_handler sing_handler, |
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1992 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1993 { |
| 1994 ComplexMatrix retval; | |
| 1995 | |
| 1996 octave_idx_type nr = rows (); | |
| 1997 octave_idx_type nc = cols (); | |
| 1998 | |
| 6924 | 1999 if (nr != b.rows ()) |
| 5785 | 2000 (*current_liboctave_error_handler) |
| 2001 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2002 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 2003 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2004 else |
| 2005 { | |
| 2006 volatile int typ = mattype.type (); | |
| 2007 | |
| 2008 if (typ == MatrixType::Permuted_Lower || | |
|
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2009 typ == MatrixType::Lower) |
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2010 { |
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2011 octave_idx_type b_nc = b.cols (); |
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2012 rcon = 1.; |
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2013 info = 0; |
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2014 |
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2015 if (typ == MatrixType::Permuted_Lower) |
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2016 { |
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2017 (*current_liboctave_error_handler) |
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2018 ("permuted triangular matrix not implemented"); |
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2019 } |
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2020 else |
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2021 { |
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2022 const Complex *tmp_data = fortran_vec (); |
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2023 |
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2024 if (calc_cond) |
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2025 { |
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2026 char norm = '1'; |
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2027 char uplo = 'L'; |
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2028 char dia = 'N'; |
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2029 |
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2030 Array<Complex> z (dim_vector (2 * nc, 1)); |
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2031 Complex *pz = z.fortran_vec (); |
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2032 Array<double> rz (dim_vector (nc, 1)); |
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2033 double *prz = rz.fortran_vec (); |
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2034 |
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2035 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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2036 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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2037 F77_CONST_CHAR_ARG2 (&dia, 1), |
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2038 nr, tmp_data, nr, rcon, |
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2039 pz, prz, info |
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2040 F77_CHAR_ARG_LEN (1) |
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2041 F77_CHAR_ARG_LEN (1) |
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2042 F77_CHAR_ARG_LEN (1))); |
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2043 |
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2044 if (info != 0) |
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2045 info = -2; |
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2046 |
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2047 volatile double rcond_plus_one = rcon + 1.0; |
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2048 |
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2049 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2050 { |
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2051 info = -2; |
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2052 |
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2053 if (sing_handler) |
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2054 sing_handler (rcon); |
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2055 else |
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2056 (*current_liboctave_error_handler) |
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2057 ("matrix singular to machine precision, rcond = %g", |
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2058 rcon); |
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2059 } |
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2060 } |
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2061 |
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2062 if (info == 0) |
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2063 { |
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2064 retval = b; |
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2065 Complex *result = retval.fortran_vec (); |
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2066 |
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2067 char uplo = 'L'; |
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2068 char trans = get_blas_char (transt); |
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2069 char dia = 'N'; |
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2070 |
|
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2071 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
|
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2072 F77_CONST_CHAR_ARG2 (&trans, 1), |
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2073 F77_CONST_CHAR_ARG2 (&dia, 1), |
|
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2074 nr, b_nc, tmp_data, nr, |
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2075 result, nr, info |
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2076 F77_CHAR_ARG_LEN (1) |
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2077 F77_CHAR_ARG_LEN (1) |
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2078 F77_CHAR_ARG_LEN (1))); |
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2079 } |
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2080 } |
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2081 } |
| 5785 | 2082 else |
|
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2083 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5785 | 2084 } |
| 2085 | |
| 2086 return retval; | |
| 2087 } | |
| 2088 | |
| 2089 ComplexMatrix | |
|
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2090 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
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2091 octave_idx_type& info, double& rcon, |
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2092 solve_singularity_handler sing_handler, |
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2093 bool calc_cond) const |
| 5785 | 2094 { |
| 2095 ComplexMatrix retval; | |
| 2096 | |
| 2097 octave_idx_type nr = rows (); | |
| 2098 octave_idx_type nc = cols (); | |
| 2099 | |
| 6924 | 2100 |
| 2101 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2102 (*current_liboctave_error_handler) |
| 6924 | 2103 ("matrix dimension mismatch solution of linear equations"); |
| 2104 else if (nr == 0 || b.cols () == 0) | |
| 2105 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2106 else |
| 2107 { | |
| 2108 volatile int typ = mattype.type (); | |
|
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2109 |
|
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|
2110 // Calculate the norm of the matrix, for later use. |
| 5785 | 2111 double anorm = -1.; |
| 2112 | |
| 2113 if (typ == MatrixType::Hermitian) | |
|
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2114 { |
|
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2115 info = 0; |
|
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2116 char job = 'L'; |
|
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2117 |
|
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2118 ComplexMatrix atmp = *this; |
|
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2119 Complex *tmp_data = atmp.fortran_vec (); |
|
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2120 |
|
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2121 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
|
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2122 |
|
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2123 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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2124 tmp_data, nr, info |
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2125 F77_CHAR_ARG_LEN (1))); |
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2126 |
|
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2127 // Throw-away extra info LAPACK gives so as to not change output. |
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2128 rcon = 0.0; |
|
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2129 if (info != 0) |
|
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2130 { |
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2131 info = -2; |
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2132 |
|
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2133 mattype.mark_as_unsymmetric (); |
|
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2134 typ = MatrixType::Full; |
|
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2135 } |
|
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2136 else |
|
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2137 { |
|
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2138 if (calc_cond) |
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John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2139 { |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
2140 Array<Complex> z (dim_vector (2 * nc, 1)); |
|
10314
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untabify liboctave C++ sources
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changeset
|
2141 Complex *pz = z.fortran_vec (); |
|
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attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
2142 Array<double> rz (dim_vector (nc, 1)); |
|
10314
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untabify liboctave C++ sources
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diff
changeset
|
2143 double *prz = rz.fortran_vec (); |
|
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untabify liboctave C++ sources
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diff
changeset
|
2144 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
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changeset
|
2145 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2146 nr, tmp_data, nr, anorm, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2147 rcon, pz, prz, info |
|
07ebe522dac2
untabify liboctave C++ sources
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|
2148 F77_CHAR_ARG_LEN (1))); |
|
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untabify liboctave C++ sources
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|
2149 |
|
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12df7854fa7c
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changeset
|
2150 if (info != 0) |
|
10314
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untabify liboctave C++ sources
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|
2151 info = -2; |
|
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untabify liboctave C++ sources
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diff
changeset
|
2152 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2153 volatile double rcond_plus_one = rcon + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2154 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2155 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2156 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2157 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2158 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2159 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2160 sing_handler (rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2161 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2162 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2163 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2164 rcon); |
|
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untabify liboctave C++ sources
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10213
diff
changeset
|
2165 } |
|
07ebe522dac2
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10213
diff
changeset
|
2166 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2167 |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2168 if (info == 0) |
|
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untabify liboctave C++ sources
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10213
diff
changeset
|
2169 { |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2170 retval = b; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2171 Complex *result = retval.fortran_vec (); |
|
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untabify liboctave C++ sources
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diff
changeset
|
2172 |
|
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changeset
|
2173 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2174 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2175 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2176 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
|
2177 result, b.rows (), info |
|
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2178 F77_CHAR_ARG_LEN (1))); |
|
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untabify liboctave C++ sources
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10213
diff
changeset
|
2179 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2180 else |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2181 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2182 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2183 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2184 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2185 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2186 } |
| 5785 | 2187 |
| 2188 if (typ == MatrixType::Full) | |
|
10314
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untabify liboctave C++ sources
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10213
diff
changeset
|
2189 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2190 info = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2191 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2192 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2193 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2194 |
|
07ebe522dac2
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10213
diff
changeset
|
2195 ComplexMatrix atmp = *this; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2196 Complex *tmp_data = atmp.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2197 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
2198 Array<Complex> z (dim_vector (2 * nc, 1)); |
|
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2199 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
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changeset
|
2200 Array<double> rz (dim_vector (2 * nc, 1)); |
|
10314
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untabify liboctave C++ sources
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diff
changeset
|
2201 double *prz = rz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2202 |
|
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diff
changeset
|
2203 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2204 if (anorm < 0.) |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2205 anorm = atmp.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
|
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2206 .max (); |
|
10314
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untabify liboctave C++ sources
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10213
diff
changeset
|
2207 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2208 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2209 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2210 // Throw-away extra info LAPACK gives so as to not change output. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2211 rcon = 0.0; |
|
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2212 if (info != 0) |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
2213 { |
|
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2214 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2215 |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2216 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2217 sing_handler (rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2218 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2219 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2220 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2221 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10213
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changeset
|
2222 mattype.mark_as_rectangular (); |
|
11586
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John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
2223 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2224 else |
|
10314
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untabify liboctave C++ sources
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10213
diff
changeset
|
2225 { |
|
07ebe522dac2
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diff
changeset
|
2226 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2227 { |
|
11586
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John W. Eaton <jwe@octave.org>
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changeset
|
2228 // Now calculate the condition number for |
|
10314
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diff
changeset
|
2229 // non-singular matrix. |
|
07ebe522dac2
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diff
changeset
|
2230 char job = '1'; |
|
07ebe522dac2
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10213
diff
changeset
|
2231 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2232 nc, tmp_data, nr, anorm, |
|
10314
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diff
changeset
|
2233 rcon, pz, prz, info |
|
07ebe522dac2
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diff
changeset
|
2234 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2235 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2236 if (info != 0) |
|
10314
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diff
changeset
|
2237 info = -2; |
|
07ebe522dac2
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diff
changeset
|
2238 |
|
07ebe522dac2
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diff
changeset
|
2239 volatile double rcond_plus_one = rcon + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2240 |
|
07ebe522dac2
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diff
changeset
|
2241 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
|
07ebe522dac2
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diff
changeset
|
2242 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2243 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2244 |
|
07ebe522dac2
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10213
diff
changeset
|
2245 if (sing_handler) |
|
07ebe522dac2
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diff
changeset
|
2246 sing_handler (rcon); |
|
07ebe522dac2
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diff
changeset
|
2247 else |
|
07ebe522dac2
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10213
diff
changeset
|
2248 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2249 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2250 rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2251 } |
|
07ebe522dac2
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parents:
10213
diff
changeset
|
2252 } |
|
07ebe522dac2
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10213
diff
changeset
|
2253 |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2254 if (info == 0) |
|
07ebe522dac2
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parents:
10213
diff
changeset
|
2255 { |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2256 retval = b; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
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2257 Complex *result = retval.fortran_vec (); |
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2258 |
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2259 octave_idx_type b_nc = b.cols (); |
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2260 |
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2261 char job = 'N'; |
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2262 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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2263 nr, b_nc, tmp_data, nr, |
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2264 pipvt, result, b.rows (), info |
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2265 F77_CHAR_ARG_LEN (1))); |
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2266 } |
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2267 else |
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2268 mattype.mark_as_rectangular (); |
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2269 } |
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2270 } |
| 5785 | 2271 } |
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2272 |
| 5785 | 2273 return retval; |
| 2274 } | |
| 2275 | |
| 2276 ComplexMatrix | |
| 2277 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2278 { | |
| 2279 octave_idx_type info; | |
| 7788 | 2280 double rcon; |
| 2281 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2282 } |
| 2283 | |
| 2284 ComplexMatrix | |
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2285 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, |
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2286 octave_idx_type& info) const |
| 5785 | 2287 { |
| 7788 | 2288 double rcon; |
| 2289 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2290 } |
| 2291 | |
| 2292 ComplexMatrix | |
| 2293 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
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2294 double& rcon) const |
| 5785 | 2295 { |
| 7788 | 2296 return solve (typ, b, info, rcon, 0); |
| 5785 | 2297 } |
| 2298 | |
| 2299 ComplexMatrix | |
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2300 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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2301 double& rcon, solve_singularity_handler sing_handler, |
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2302 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2303 { |
| 2304 ComplexMatrix tmp (b); | |
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2305 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
| 5785 | 2306 } |
| 2307 | |
| 2308 ComplexMatrix | |
| 2309 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2310 { | |
| 2311 octave_idx_type info; | |
| 7788 | 2312 double rcon; |
| 2313 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2314 } |
| 2315 | |
| 2316 ComplexMatrix | |
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2317 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
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2318 octave_idx_type& info) const |
| 5785 | 2319 { |
| 7788 | 2320 double rcon; |
| 2321 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2322 } |
| 2323 | |
| 2324 ComplexMatrix | |
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2325 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, |
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2326 octave_idx_type& info, double& rcon) const |
| 5785 | 2327 { |
| 7788 | 2328 return solve (typ, b, info, rcon, 0); |
| 5785 | 2329 } |
| 2330 | |
| 2331 ComplexMatrix | |
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2332 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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2333 octave_idx_type& info, double& rcon, |
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2334 solve_singularity_handler sing_handler, |
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2335 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2336 { |
| 2337 ComplexMatrix retval; | |
| 2338 int typ = mattype.type (); | |
| 2339 | |
| 2340 if (typ == MatrixType::Unknown) | |
| 2341 typ = mattype.type (*this); | |
| 2342 | |
| 2343 // Only calculate the condition number for LU/Cholesky | |
| 2344 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
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2345 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 2346 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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2347 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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2348 else if (transt == blas_trans) |
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2349 return transpose ().solve (mattype, b, info, rcon, sing_handler, |
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2350 singular_fallback); |
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2351 else if (transt == blas_conj_trans) |
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2352 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, |
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2353 singular_fallback); |
| 5785 | 2354 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2355 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2356 else if (typ != MatrixType::Rectangular) |
| 2357 { | |
| 2358 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2359 return ComplexMatrix (); | |
| 2360 } | |
| 2361 | |
| 2362 // Rectangular or one of the above solvers flags a singular matrix | |
| 2363 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2364 { | |
| 2365 octave_idx_type rank; | |
| 7788 | 2366 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2367 } |
| 2368 | |
| 2369 return retval; | |
| 2370 } | |
| 2371 | |
| 2372 ComplexColumnVector | |
| 2373 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2374 { | |
| 2375 octave_idx_type info; | |
| 7788 | 2376 double rcon; |
| 2377 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2378 } |
| 2379 | |
| 2380 ComplexColumnVector | |
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2381 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2382 octave_idx_type& info) const |
| 5785 | 2383 { |
| 7788 | 2384 double rcon; |
| 2385 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2386 } |
| 2387 | |
| 2388 ComplexColumnVector | |
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2389 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2390 octave_idx_type& info, double& rcon) const |
| 5785 | 2391 { |
| 7788 | 2392 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2393 } |
| 2394 | |
| 2395 ComplexColumnVector | |
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2396 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, |
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2397 octave_idx_type& info, double& rcon, |
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2398 solve_singularity_handler sing_handler, |
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2399 blas_trans_type transt) const |
| 5785 | 2400 { |
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2401 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 5785 | 2402 } |
| 2403 | |
| 2404 ComplexColumnVector | |
| 2405 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2406 { | |
| 2407 octave_idx_type info; | |
| 7788 | 2408 double rcon; |
| 2409 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2410 } |
| 2411 | |
| 2412 ComplexColumnVector | |
|
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2413 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2414 octave_idx_type& info) const |
| 5785 | 2415 { |
| 7788 | 2416 double rcon; |
| 2417 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2418 } |
| 2419 | |
| 2420 ComplexColumnVector | |
| 2421 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2422 octave_idx_type& info, double& rcon) const |
| 5785 | 2423 { |
| 7788 | 2424 return solve (typ, b, info, rcon, 0); |
| 5785 | 2425 } |
| 2426 | |
| 2427 ComplexColumnVector | |
| 2428 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2429 octave_idx_type& info, double& rcon, |
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2430 solve_singularity_handler sing_handler, |
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2431 blas_trans_type transt) const |
| 5785 | 2432 { |
| 2433 | |
| 2434 ComplexMatrix tmp (b); | |
| 10352 | 2435 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
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2436 return tmp.column (static_cast<octave_idx_type> (0)); |
| 5785 | 2437 } |
| 2438 | |
| 2439 ComplexMatrix | |
| 458 | 2440 ComplexMatrix::solve (const Matrix& b) const |
| 2441 { | |
| 5275 | 2442 octave_idx_type info; |
| 7788 | 2443 double rcon; |
| 2444 return solve (b, info, rcon, 0); | |
| 458 | 2445 } |
| 2446 | |
| 2447 ComplexMatrix | |
| 5275 | 2448 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2449 { |
| 7788 | 2450 double rcon; |
| 2451 return solve (b, info, rcon, 0); | |
| 458 | 2452 } |
| 2453 | |
| 2454 ComplexMatrix | |
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2455 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, |
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2456 double& rcon) const |
| 458 | 2457 { |
| 7788 | 2458 return solve (b, info, rcon, 0); |
| 3480 | 2459 } |
| 2460 | |
| 2461 ComplexMatrix | |
| 7788 | 2462 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2463 solve_singularity_handler sing_handler, |
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2464 blas_trans_type transt) const |
| 3480 | 2465 { |
| 458 | 2466 ComplexMatrix tmp (b); |
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2467 return solve (tmp, info, rcon, sing_handler, transt); |
| 458 | 2468 } |
| 2469 | |
| 2470 ComplexMatrix | |
| 2471 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2472 { | |
| 5275 | 2473 octave_idx_type info; |
| 7788 | 2474 double rcon; |
| 2475 return solve (b, info, rcon, 0); | |
| 458 | 2476 } |
| 2477 | |
| 2478 ComplexMatrix | |
| 5275 | 2479 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2480 { |
| 7788 | 2481 double rcon; |
| 2482 return solve (b, info, rcon, 0); | |
| 458 | 2483 } |
| 3480 | 2484 |
| 458 | 2485 ComplexMatrix |
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2486 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2487 double& rcon) const |
| 458 | 2488 { |
| 7788 | 2489 return solve (b, info, rcon, 0); |
| 3480 | 2490 } |
| 2491 | |
| 2492 ComplexMatrix | |
|
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2493 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2494 double& rcon, |
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2495 solve_singularity_handler sing_handler, |
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2496 blas_trans_type transt) const |
| 3480 | 2497 { |
| 5785 | 2498 MatrixType mattype (*this); |
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2499 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2500 } |
| 2501 | |
| 2502 ComplexColumnVector | |
| 3585 | 2503 ComplexMatrix::solve (const ColumnVector& b) const |
| 2504 { | |
| 5275 | 2505 octave_idx_type info; |
| 7788 | 2506 double rcon; |
| 2507 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2508 } |
| 2509 | |
| 2510 ComplexColumnVector | |
| 5275 | 2511 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2512 { |
| 7788 | 2513 double rcon; |
| 2514 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2515 } |
| 2516 | |
| 2517 ComplexColumnVector | |
|
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2518 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2519 double& rcon) const |
| 3585 | 2520 { |
| 7788 | 2521 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2522 } |
| 2523 | |
| 2524 ComplexColumnVector | |
|
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2525 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2526 double& rcon, |
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2527 solve_singularity_handler sing_handler, |
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changeset
|
2528 blas_trans_type transt) const |
| 3585 | 2529 { |
|
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afcf852256d2
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2530 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 3585 | 2531 } |
| 2532 | |
| 2533 ComplexColumnVector | |
| 458 | 2534 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2535 { | |
| 5275 | 2536 octave_idx_type info; |
| 7788 | 2537 double rcon; |
| 2538 return solve (b, info, rcon, 0); | |
| 458 | 2539 } |
| 2540 | |
| 2541 ComplexColumnVector | |
| 5275 | 2542 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2543 { |
| 7788 | 2544 double rcon; |
| 2545 return solve (b, info, rcon, 0); | |
| 458 | 2546 } |
| 2547 | |
| 2548 ComplexColumnVector | |
| 5275 | 2549 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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|
2550 double& rcon) const |
| 458 | 2551 { |
| 7788 | 2552 return solve (b, info, rcon, 0); |
| 3480 | 2553 } |
| 2554 | |
| 2555 ComplexColumnVector | |
| 5275 | 2556 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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|
2557 double& rcon, |
|
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|
2558 solve_singularity_handler sing_handler, |
|
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|
2559 blas_trans_type transt) const |
| 3480 | 2560 { |
| 5785 | 2561 MatrixType mattype (*this); |
|
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|
2562 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2563 } |
| 2564 | |
| 2565 ComplexMatrix | |
| 3585 | 2566 ComplexMatrix::lssolve (const Matrix& b) const |
| 2567 { | |
| 5275 | 2568 octave_idx_type info; |
| 2569 octave_idx_type rank; | |
| 7788 | 2570 double rcon; |
| 2571 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2572 } |
| 2573 | |
| 2574 ComplexMatrix | |
| 5275 | 2575 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2576 { |
| 5275 | 2577 octave_idx_type rank; |
| 7788 | 2578 double rcon; |
| 2579 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2580 } |
| 2581 | |
| 2582 ComplexMatrix | |
| 7076 | 2583 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
|
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|
2584 octave_idx_type& rank) const |
| 3585 | 2585 { |
| 7788 | 2586 double rcon; |
| 2587 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2588 } |
| 2589 | |
| 2590 ComplexMatrix | |
| 2591 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
|
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|
2592 octave_idx_type& rank, double& rcon) const |
| 7076 | 2593 { |
| 7788 | 2594 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2595 } |
| 2596 | |
| 2597 ComplexMatrix | |
| 458 | 2598 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2599 { | |
| 5275 | 2600 octave_idx_type info; |
| 2601 octave_idx_type rank; | |
| 7788 | 2602 double rcon; |
| 2603 return lssolve (b, info, rank, rcon); | |
| 458 | 2604 } |
| 2605 | |
| 2606 ComplexMatrix | |
| 5275 | 2607 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2608 { |
| 5275 | 2609 octave_idx_type rank; |
| 7788 | 2610 double rcon; |
| 2611 return lssolve (b, info, rank, rcon); | |
| 458 | 2612 } |
| 2613 | |
| 2614 ComplexMatrix | |
| 7076 | 2615 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
|
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|
2616 octave_idx_type& rank) const |
| 7076 | 2617 { |
| 7788 | 2618 double rcon; |
| 2619 return lssolve (b, info, rank, rcon); | |
| 7076 | 2620 } |
| 2621 | |
| 2622 ComplexMatrix | |
|
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|
2623 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
|
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|
2624 octave_idx_type& rank, double& rcon) const |
| 458 | 2625 { |
| 1948 | 2626 ComplexMatrix retval; |
| 2627 | |
| 5275 | 2628 octave_idx_type nrhs = b.cols (); |
| 2629 | |
| 2630 octave_idx_type m = rows (); | |
| 2631 octave_idx_type n = cols (); | |
| 458 | 2632 |
| 6924 | 2633 if (m != b.rows ()) |
| 1948 | 2634 (*current_liboctave_error_handler) |
| 2635 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2636 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2637 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2638 else |
| 458 | 2639 { |
| 7072 | 2640 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2641 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2642 rcon = -1.0; |
| 7072 | 2643 |
| 2644 if (m != n) | |
|
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2645 { |
|
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|
2646 retval = ComplexMatrix (maxmn, nrhs); |
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|
2647 |
|
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|
2648 for (octave_idx_type j = 0; j < nrhs; j++) |
|
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|
2649 for (octave_idx_type i = 0; i < m; i++) |
|
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|
2650 retval.elem (i, j) = b.elem (i, j); |
|
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|
2651 } |
| 7072 | 2652 else |
|
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|
2653 retval = b; |
| 7072 | 2654 |
| 1948 | 2655 ComplexMatrix atmp = *this; |
| 2656 Complex *tmp_data = atmp.fortran_vec (); | |
| 2657 | |
| 7072 | 2658 Complex *pretval = retval.fortran_vec (); |
|
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|
2659 Array<double> s (dim_vector (minmn, 1)); |
| 7071 | 2660 double *ps = s.fortran_vec (); |
| 2563 | 2661 |
| 7072 | 2662 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2663 octave_idx_type lwork = -1; |
| 3752 | 2664 |
|
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|
2665 Array<Complex> work (dim_vector (1, 1)); |
| 7079 | 2666 |
| 7477 | 2667 octave_idx_type smlsiz; |
| 2668 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
|
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|
2669 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2670 0, 0, 0, 0, smlsiz |
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2671 F77_CHAR_ARG_LEN (6) |
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|
2672 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2673 |
|
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2674 octave_idx_type mnthr; |
|
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|
2675 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2676 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2677 m, n, nrhs, -1, mnthr |
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2678 F77_CHAR_ARG_LEN (6) |
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|
2679 F77_CHAR_ARG_LEN (1)); |
|
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|
2680 |
| 7079 | 2681 // We compute the size of rwork and iwork because ZGELSD in |
| 2682 // older versions of LAPACK does not return them on a query | |
| 2683 // call. | |
| 7124 | 2684 double dminmn = static_cast<double> (minmn); |
| 2685 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
|
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|
2686 double tmp = xlog2 (dminmn / dsmlsizp1); |
|
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|
2687 |
|
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|
2688 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2689 if (nlvl < 0) |
|
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|
2690 nlvl = 0; |
| 7079 | 2691 |
| 2692 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
|
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|
2693 + 3*smlsiz*nrhs |
|
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|
2694 + std::max ((smlsiz+1)*(smlsiz+1), |
|
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|
2695 n*(1+nrhs) + 2*nrhs); |
| 7079 | 2696 if (lrwork < 1) |
|
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|
2697 lrwork = 1; |
|
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|
2698 Array<double> rwork (dim_vector (lrwork, 1)); |
| 7079 | 2699 double *prwork = rwork.fortran_vec (); |
| 2700 | |
| 2701 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2702 if (liwork < 1) | |
|
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|
2703 liwork = 1; |
|
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|
2704 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
| 7079 | 2705 octave_idx_type* piwork = iwork.fortran_vec (); |
| 7072 | 2706 |
| 2707 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
|
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|
2708 ps, rcon, rank, work.fortran_vec (), |
|
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|
2709 lwork, prwork, piwork, info)); |
| 1948 | 2710 |
| 7476 | 2711 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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|
2712 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2713 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2714 // efficiently. |
|
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|
2715 if (n > m && n >= mnthr) |
|
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|
2716 { |
|
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|
2717 octave_idx_type addend = m; |
|
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|
2718 |
|
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|
2719 if (2*m-4 > addend) |
|
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|
2720 addend = 2*m-4; |
|
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|
2721 |
|
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|
2722 if (nrhs > addend) |
|
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|
2723 addend = nrhs; |
|
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2724 |
|
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2725 if (n-3*m > addend) |
|
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|
2726 addend = n-3*m; |
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2727 |
|
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|
2728 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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2729 |
|
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2730 if (std::real (work(0)) < lworkaround) |
|
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|
2731 work(0) = lworkaround; |
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2732 } |
|
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2733 else if (m >= n) |
|
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2734 { |
|
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|
2735 octave_idx_type lworkaround = 2*m + m*nrhs; |
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2736 |
|
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|
2737 if (std::real (work(0)) < lworkaround) |
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|
2738 work(0) = lworkaround; |
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|
2739 } |
| 7476 | 2740 |
|
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|
2741 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2742 work.resize (dim_vector (lwork, 1)); |
|
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2743 |
|
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|
2744 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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|
2745 maxmn, ps, rcon, rank, |
|
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|
2746 work.fortran_vec (), lwork, |
|
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|
2747 prwork, piwork, info)); |
|
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|
2748 |
|
29980c6b8604
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|
2749 if (s.elem (0) == 0.0) |
|
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|
2750 rcon = 0.0; |
| 1948 | 2751 else |
|
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|
2752 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2753 |
|
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changeset
|
2754 retval.resize (n, nrhs); |
| 458 | 2755 } |
| 2756 | |
| 2757 return retval; | |
| 2758 } | |
| 2759 | |
| 2760 ComplexColumnVector | |
| 3585 | 2761 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2762 { | |
| 5275 | 2763 octave_idx_type info; |
| 2764 octave_idx_type rank; | |
| 7788 | 2765 double rcon; |
| 2766 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2767 } |
| 2768 | |
| 2769 ComplexColumnVector | |
| 5275 | 2770 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2771 { |
| 5275 | 2772 octave_idx_type rank; |
| 7788 | 2773 double rcon; |
| 2774 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2775 } |
| 2776 | |
| 2777 ComplexColumnVector | |
|
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|
2778 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
|
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|
2779 octave_idx_type& rank) const |
| 3585 | 2780 { |
| 7788 | 2781 double rcon; |
| 2782 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2783 } |
| 2784 | |
| 2785 ComplexColumnVector | |
|
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|
2786 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
|
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|
2787 octave_idx_type& rank, double& rcon) const |
| 7076 | 2788 { |
| 7788 | 2789 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2790 } |
| 2791 | |
| 2792 ComplexColumnVector | |
| 458 | 2793 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2794 { | |
| 5275 | 2795 octave_idx_type info; |
| 2796 octave_idx_type rank; | |
| 7788 | 2797 double rcon; |
| 2798 return lssolve (b, info, rank, rcon); | |
| 458 | 2799 } |
| 2800 | |
| 2801 ComplexColumnVector | |
|
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|
2802 ComplexMatrix::lssolve (const ComplexColumnVector& b, |
|
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|
2803 octave_idx_type& info) const |
| 458 | 2804 { |
| 5275 | 2805 octave_idx_type rank; |
| 7788 | 2806 double rcon; |
| 2807 return lssolve (b, info, rank, rcon); | |
| 458 | 2808 } |
| 2809 | |
| 2810 ComplexColumnVector | |
| 5275 | 2811 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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|
2812 octave_idx_type& rank) const |
| 458 | 2813 { |
| 7788 | 2814 double rcon; |
| 2815 return lssolve (b, info, rank, rcon); | |
| 7076 | 2816 |
| 2817 } | |
| 2818 | |
| 2819 ComplexColumnVector | |
| 2820 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
|
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|
2821 octave_idx_type& rank, double& rcon) const |
| 7076 | 2822 { |
| 1948 | 2823 ComplexColumnVector retval; |
| 2824 | |
| 5275 | 2825 octave_idx_type nrhs = 1; |
| 2826 | |
| 2827 octave_idx_type m = rows (); | |
| 2828 octave_idx_type n = cols (); | |
| 458 | 2829 |
| 6924 | 2830 if (m != b.length ()) |
| 1948 | 2831 (*current_liboctave_error_handler) |
| 6924 | 2832 ("matrix dimension mismatch solution of linear equations"); |
| 2833 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2834 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2835 else |
| 458 | 2836 { |
| 7072 | 2837 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2838 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2839 rcon = -1.0; |
| 7072 | 2840 |
| 2841 if (m != n) | |
|
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|
2842 { |
|
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|
2843 retval = ComplexColumnVector (maxmn); |
|
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changeset
|
2844 |
|
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changeset
|
2845 for (octave_idx_type i = 0; i < m; i++) |
|
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untabify liboctave C++ sources
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|
2846 retval.elem (i) = b.elem (i); |
|
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changeset
|
2847 } |
| 7072 | 2848 else |
|
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|
2849 retval = b; |
| 7072 | 2850 |
| 1948 | 2851 ComplexMatrix atmp = *this; |
| 2852 Complex *tmp_data = atmp.fortran_vec (); | |
| 2853 | |
| 7072 | 2854 Complex *pretval = retval.fortran_vec (); |
|
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changeset
|
2855 Array<double> s (dim_vector (minmn, 1)); |
| 7071 | 2856 double *ps = s.fortran_vec (); |
| 1948 | 2857 |
| 7072 | 2858 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2859 octave_idx_type lwork = -1; |
| 3752 | 2860 |
|
11570
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attempt better backward compatibility for Array constructors
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diff
changeset
|
2861 Array<Complex> work (dim_vector (1, 1)); |
| 7079 | 2862 |
|
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diff
changeset
|
2863 octave_idx_type smlsiz; |
|
f9983d2761df
more xGELSD workspace fixes
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changeset
|
2864 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2865 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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changeset
|
2866 0, 0, 0, 0, smlsiz |
|
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|
2867 F77_CHAR_ARG_LEN (6) |
|
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changeset
|
2868 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2869 |
| 2870 // We compute the size of rwork and iwork because ZGELSD in | |
| 2871 // older versions of LAPACK does not return them on a query | |
| 2872 // call. | |
| 7124 | 2873 double dminmn = static_cast<double> (minmn); |
| 2874 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
|
19037
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changeset
|
2875 double tmp = xlog2 (dminmn / dsmlsizp1); |
|
ff4da3c8ed16
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|
2876 |
|
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more xGELSD workspace fixes
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|
2877 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2878 if (nlvl < 0) |
|
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|
2879 nlvl = 0; |
| 7079 | 2880 |
| 2881 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
|
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parents:
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|
2882 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
| 7079 | 2883 if (lrwork < 1) |
|
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|
2884 lrwork = 1; |
|
11570
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attempt better backward compatibility for Array constructors
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diff
changeset
|
2885 Array<double> rwork (dim_vector (lrwork, 1)); |
| 7079 | 2886 double *prwork = rwork.fortran_vec (); |
| 2887 | |
| 2888 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2889 if (liwork < 1) | |
|
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changeset
|
2890 liwork = 1; |
|
11570
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parents:
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diff
changeset
|
2891 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
| 7079 | 2892 octave_idx_type* piwork = iwork.fortran_vec (); |
| 7072 | 2893 |
| 2894 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
|
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changeset
|
2895 ps, rcon, rank, work.fortran_vec (), |
|
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|
2896 lwork, prwork, piwork, info)); |
| 1948 | 2897 |
|
7482
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changeset
|
2898 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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attempt better backward compatibility for Array resize functions
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diff
changeset
|
2899 work.resize (dim_vector (lwork, 1)); |
|
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attempt better backward compatibility for Array resize functions
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parents:
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diff
changeset
|
2900 rwork.resize (dim_vector (static_cast<octave_idx_type> (rwork(0)), 1)); |
|
a83bad07f7e3
attempt better backward compatibility for Array resize functions
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|
2901 iwork.resize (dim_vector (iwork(0), 1)); |
|
7482
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changeset
|
2902 |
|
29980c6b8604
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diff
changeset
|
2903 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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|
2904 maxmn, ps, rcon, rank, |
|
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changeset
|
2905 work.fortran_vec (), lwork, |
|
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changeset
|
2906 prwork, piwork, info)); |
|
7482
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|
2907 |
|
29980c6b8604
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changeset
|
2908 if (rank < minmn) |
|
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changeset
|
2909 { |
|
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changeset
|
2910 if (s.elem (0) == 0.0) |
|
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untabify liboctave C++ sources
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changeset
|
2911 rcon = 0.0; |
|
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changeset
|
2912 else |
|
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changeset
|
2913 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2914 |
|
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changeset
|
2915 retval.resize (n, nrhs); |
|
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|
2916 } |
| 458 | 2917 } |
| 2918 | |
| 2919 return retval; | |
| 2920 } | |
| 2921 | |
| 1205 | 2922 // column vector by row vector -> matrix operations |
| 2923 | |
| 2924 ComplexMatrix | |
| 2925 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2926 { | |
| 2927 ComplexColumnVector tmp (v); | |
| 2928 return tmp * a; | |
| 2929 } | |
| 2930 | |
| 2931 ComplexMatrix | |
| 2932 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2933 { | |
| 2934 ComplexRowVector tmp (b); | |
| 2935 return a * tmp; | |
| 2936 } | |
| 2937 | |
| 2938 ComplexMatrix | |
| 2939 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2940 { | |
| 1948 | 2941 ComplexMatrix retval; |
| 2942 | |
| 5275 | 2943 octave_idx_type len = v.length (); |
| 3233 | 2944 |
| 2945 if (len != 0) | |
| 1205 | 2946 { |
| 5275 | 2947 octave_idx_type a_len = a.length (); |
| 3233 | 2948 |
|
9359
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2949 retval = ComplexMatrix (len, a_len); |
| 3233 | 2950 Complex *c = retval.fortran_vec (); |
| 2951 | |
| 4552 | 2952 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
|
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|
2953 F77_CONST_CHAR_ARG2 ("N", 1), |
|
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|
2954 len, a_len, 1, 1.0, v.data (), len, |
|
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changeset
|
2955 a.data (), 1, 0.0, c, len |
|
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|
2956 F77_CHAR_ARG_LEN (1) |
|
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|
2957 F77_CHAR_ARG_LEN (1))); |
| 1205 | 2958 } |
| 2959 | |
| 1948 | 2960 return retval; |
| 1205 | 2961 } |
| 2962 | |
| 458 | 2963 // matrix by diagonal matrix -> matrix operations |
| 2964 | |
| 2965 ComplexMatrix& | |
| 2966 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2967 { | |
| 5275 | 2968 octave_idx_type nr = rows (); |
| 2969 octave_idx_type nc = cols (); | |
| 2970 | |
| 2971 octave_idx_type a_nr = rows (); | |
| 2972 octave_idx_type a_nc = cols (); | |
| 2384 | 2973 |
| 2974 if (nr != a_nr || nc != a_nc) | |
| 458 | 2975 { |
| 2384 | 2976 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2977 return *this; |
| 458 | 2978 } |
| 2979 | |
| 5275 | 2980 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2981 elem (i, i) += a.elem (i, i); |
| 2982 | |
| 2983 return *this; | |
| 2984 } | |
| 2985 | |
| 2986 ComplexMatrix& | |
| 2987 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2988 { | |
| 5275 | 2989 octave_idx_type nr = rows (); |
| 2990 octave_idx_type nc = cols (); | |
| 2991 | |
| 2992 octave_idx_type a_nr = rows (); | |
| 2993 octave_idx_type a_nc = cols (); | |
| 2384 | 2994 |
| 2995 if (nr != a_nr || nc != a_nc) | |
| 458 | 2996 { |
| 2384 | 2997 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2998 return *this; |
| 458 | 2999 } |
| 3000 | |
| 5275 | 3001 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3002 elem (i, i) -= a.elem (i, i); |
| 3003 | |
| 3004 return *this; | |
| 3005 } | |
| 3006 | |
| 3007 ComplexMatrix& | |
| 3008 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 3009 { | |
| 5275 | 3010 octave_idx_type nr = rows (); |
| 3011 octave_idx_type nc = cols (); | |
| 3012 | |
| 3013 octave_idx_type a_nr = rows (); | |
| 3014 octave_idx_type a_nc = cols (); | |
| 2384 | 3015 |
| 3016 if (nr != a_nr || nc != a_nc) | |
| 458 | 3017 { |
| 2384 | 3018 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3019 return *this; |
| 458 | 3020 } |
| 3021 | |
| 5275 | 3022 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3023 elem (i, i) += a.elem (i, i); |
| 3024 | |
| 3025 return *this; | |
| 3026 } | |
| 3027 | |
| 3028 ComplexMatrix& | |
| 3029 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3030 { | |
| 5275 | 3031 octave_idx_type nr = rows (); |
| 3032 octave_idx_type nc = cols (); | |
| 3033 | |
| 3034 octave_idx_type a_nr = rows (); | |
| 3035 octave_idx_type a_nc = cols (); | |
| 2384 | 3036 |
| 3037 if (nr != a_nr || nc != a_nc) | |
| 458 | 3038 { |
| 2384 | 3039 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3040 return *this; |
| 458 | 3041 } |
| 3042 | |
| 5275 | 3043 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3044 elem (i, i) -= a.elem (i, i); |
| 3045 | |
| 3046 return *this; | |
| 3047 } | |
| 3048 | |
| 3049 // matrix by matrix -> matrix operations | |
| 3050 | |
| 3051 ComplexMatrix& | |
| 3052 ComplexMatrix::operator += (const Matrix& a) | |
| 3053 { | |
| 5275 | 3054 octave_idx_type nr = rows (); |
| 3055 octave_idx_type nc = cols (); | |
| 3056 | |
| 3057 octave_idx_type a_nr = a.rows (); | |
| 3058 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3059 |
| 3060 if (nr != a_nr || nc != a_nc) | |
| 458 | 3061 { |
| 2384 | 3062 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3063 return *this; |
| 3064 } | |
| 3065 | |
| 3066 if (nr == 0 || nc == 0) | |
| 3067 return *this; | |
| 3068 | |
| 3069 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3070 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3071 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 3072 return *this; |
| 3073 } | |
| 3074 | |
| 3075 ComplexMatrix& | |
| 3076 ComplexMatrix::operator -= (const Matrix& a) | |
| 3077 { | |
| 5275 | 3078 octave_idx_type nr = rows (); |
| 3079 octave_idx_type nc = cols (); | |
| 3080 | |
| 3081 octave_idx_type a_nr = a.rows (); | |
| 3082 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3083 |
| 3084 if (nr != a_nr || nc != a_nc) | |
| 458 | 3085 { |
| 2384 | 3086 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3087 return *this; |
| 3088 } | |
| 3089 | |
| 3090 if (nr == 0 || nc == 0) | |
| 3091 return *this; | |
| 3092 | |
| 3093 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3094 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3095 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3096 return *this; |
| 3097 } | |
| 3098 | |
| 3099 // unary operations | |
| 3100 | |
| 2964 | 3101 boolMatrix |
| 458 | 3102 ComplexMatrix::operator ! (void) const |
| 3103 { | |
|
11130
7c573eb981eb
consistently give error for operator not applied to NaN values
John W. Eaton <jwe@octave.org>
parents:
11008
diff
changeset
|
3104 if (any_element_is_nan ()) |
|
7c573eb981eb
consistently give error for operator not applied to NaN values
John W. Eaton <jwe@octave.org>
parents:
11008
diff
changeset
|
3105 gripe_nan_to_logical_conversion (); |
|
7c573eb981eb
consistently give error for operator not applied to NaN values
John W. Eaton <jwe@octave.org>
parents:
11008
diff
changeset
|
3106 |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3107 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
| 458 | 3108 } |
| 3109 | |
| 3110 // other operations | |
| 3111 | |
| 2384 | 3112 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3113 ComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3114 { |
|
11008
3622db30ff05
simplify some array tests in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
10813
diff
changeset
|
3115 return do_mx_check<Complex> (*this, mx_inline_any_nan); |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3116 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3117 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3118 bool |
| 2384 | 3119 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3120 { | |
|
11008
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simplify some array tests in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
10813
diff
changeset
|
3121 return ! do_mx_check<Complex> (*this, mx_inline_all_finite); |
| 2384 | 3122 } |
| 3123 | |
| 2408 | 3124 // Return true if no elements have imaginary components. |
| 3125 | |
| 3126 bool | |
| 3127 ComplexMatrix::all_elements_are_real (void) const | |
| 3128 { | |
|
11008
3622db30ff05
simplify some array tests in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
10813
diff
changeset
|
3129 return do_mx_check<Complex> (*this, mx_inline_all_real); |
| 2408 | 3130 } |
| 3131 | |
| 1968 | 3132 // Return nonzero if any element of CM has a non-integer real or |
| 3133 // imaginary part. Also extract the largest and smallest (real or | |
|
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3134 // imaginary) values and return them in MAX_VAL and MIN_VAL. |
| 1968 | 3135 |
| 2384 | 3136 bool |
| 1968 | 3137 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3138 { | |
| 5275 | 3139 octave_idx_type nr = rows (); |
| 3140 octave_idx_type nc = cols (); | |
| 1968 | 3141 |
| 3142 if (nr > 0 && nc > 0) | |
| 3143 { | |
| 3144 Complex val = elem (0, 0); | |
| 3145 | |
| 5315 | 3146 double r_val = std::real (val); |
| 3147 double i_val = std::imag (val); | |
| 1968 | 3148 |
| 3149 max_val = r_val; | |
| 3150 min_val = r_val; | |
| 3151 | |
| 3152 if (i_val > max_val) | |
|
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3153 max_val = i_val; |
| 1968 | 3154 |
| 3155 if (i_val < max_val) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3156 min_val = i_val; |
| 1968 | 3157 } |
| 3158 else | |
| 2384 | 3159 return false; |
| 1968 | 3160 |
| 5275 | 3161 for (octave_idx_type j = 0; j < nc; j++) |
| 3162 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3163 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3164 Complex val = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3165 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3166 double r_val = std::real (val); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3167 double i_val = std::imag (val); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3168 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3169 if (r_val > max_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3170 max_val = r_val; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3171 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3172 if (i_val > max_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3173 max_val = i_val; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3174 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3175 if (r_val < min_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3176 min_val = r_val; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3177 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3178 if (i_val < min_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3179 min_val = i_val; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3180 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3181 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3182 return false; |
| 1968 | 3183 } |
| 2384 | 3184 |
| 3185 return true; | |
| 1968 | 3186 } |
| 3187 | |
| 2384 | 3188 bool |
| 1968 | 3189 ComplexMatrix::too_large_for_float (void) const |
| 3190 { | |
|
15212
4bbd3bbb8912
reduce code duplication in too_large_for_float array functions
John W. Eaton <jwe@octave.org>
parents:
15018
diff
changeset
|
3191 return test_any (xtoo_large_for_float); |
| 1968 | 3192 } |
| 3193 | |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3194 // FIXME: Do these really belong here? Maybe they should be in a base class? |
| 4015 | 3195 |
| 2832 | 3196 boolMatrix |
| 4015 | 3197 ComplexMatrix::all (int dim) const |
| 458 | 3198 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3199 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
| 458 | 3200 } |
| 3201 | |
| 2832 | 3202 boolMatrix |
| 4015 | 3203 ComplexMatrix::any (int dim) const |
| 458 | 3204 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3205 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
| 458 | 3206 } |
| 3207 | |
| 3208 ComplexMatrix | |
| 3723 | 3209 ComplexMatrix::cumprod (int dim) const |
| 458 | 3210 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3211 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3212 } |
| 3213 | |
| 3214 ComplexMatrix | |
| 3723 | 3215 ComplexMatrix::cumsum (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_cumsum); |
| 458 | 3218 } |
| 3219 | |
| 3220 ComplexMatrix | |
| 3723 | 3221 ComplexMatrix::prod (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_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3224 } |
| 3225 | |
| 3226 ComplexMatrix | |
| 3723 | 3227 ComplexMatrix::sum (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_sum); |
| 458 | 3230 } |
| 3231 | |
| 3232 ComplexMatrix | |
| 3723 | 3233 ComplexMatrix::sumsq (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<double, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3236 } |
| 3237 | |
| 4329 | 3238 Matrix ComplexMatrix::abs (void) const |
| 3239 { | |
|
10363
a0728e81ed25
improve diag matrix interface & implementation
Jaroslav Hajek <highegg@gmail.com>
parents:
10362
diff
changeset
|
3240 return do_mx_unary_map<double, Complex, std::abs> (*this); |
| 4329 | 3241 } |
| 3242 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3243 ComplexMatrix |
| 5275 | 3244 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3245 { |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3246 return MArray<Complex>::diag (k); |
| 458 | 3247 } |
| 3248 | |
|
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
|
3249 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
|
3250 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
|
3251 { |
|
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3252 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
|
3253 |
|
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3254 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
|
3255 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
|
3256 |
|
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
3257 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
|
3258 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>
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diff
changeset
|
3259 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
|
3260 (*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
|
3261 ("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
|
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 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
|
3264 } |
|
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 |
| 2354 | 3266 bool |
| 5275 | 3267 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3268 { |
| 3269 bool retval = true; | |
| 3270 | |
| 5275 | 3271 octave_idx_type nc = columns (); |
| 3272 | |
| 3273 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3274 { |
| 5315 | 3275 if (std::imag (elem (i, j)) != 0.0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3276 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3277 retval = false; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3278 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3279 } |
| 2354 | 3280 } |
| 3281 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3282 return retval; |
| 2354 | 3283 } |
| 3284 | |
| 3285 bool | |
| 5275 | 3286 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3287 { |
| 3288 bool retval = true; | |
| 3289 | |
| 5275 | 3290 octave_idx_type nr = rows (); |
| 3291 | |
| 3292 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3293 { |
| 5315 | 3294 if (std::imag (elem (i, j)) != 0.0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
3295 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3296 retval = false; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
3297 break; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3298 } |
| 2354 | 3299 } |
| 3300 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
3301 return retval; |
| 2354 | 3302 } |
| 891 | 3303 |
| 458 | 3304 ComplexColumnVector |
| 3305 ComplexMatrix::row_min (void) const | |
| 3306 { | |
| 5275 | 3307 Array<octave_idx_type> dummy_idx; |
| 4587 | 3308 return row_min (dummy_idx); |
| 458 | 3309 } |
| 3310 | |
| 3311 ComplexColumnVector | |
| 5275 | 3312 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3313 { |
| 3314 ComplexColumnVector result; | |
| 3315 | |
| 5275 | 3316 octave_idx_type nr = rows (); |
| 3317 octave_idx_type nc = cols (); | |
| 458 | 3318 |
| 3319 if (nr > 0 && nc > 0) | |
| 3320 { | |
| 3321 result.resize (nr); | |
|
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3322 idx_arg.resize (dim_vector (nr, 1)); |
| 458 | 3323 |
| 5275 | 3324 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3325 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3326 bool real_only = row_is_real_only (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3327 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3328 octave_idx_type idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3329 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3330 Complex tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3331 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3332 double abs_min = octave_NaN; |
|
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 for (idx_j = 0; idx_j < nc; 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 tmp_min = elem (i, idx_j); |
|
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 if (! xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3339 { |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3340 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
|
3341 : std::abs (tmp_min); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3342 break; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3345 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3346 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
|
3347 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3348 Complex tmp = elem (i, j); |
|
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 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3351 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3352 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3353 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
|
3354 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3355 if (abs_tmp < abs_min) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3356 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 idx_j = j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3358 tmp_min = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3359 abs_min = 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 } |
|
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 if (xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3364 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3365 result.elem (i) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3366 idx_arg.elem (i) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3367 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3368 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3369 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3370 result.elem (i) = tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3371 idx_arg.elem (i) = idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3372 } |
| 458 | 3373 } |
| 3374 } | |
| 3375 | |
| 3376 return result; | |
| 3377 } | |
| 3378 | |
| 3379 ComplexColumnVector | |
| 3380 ComplexMatrix::row_max (void) const | |
| 3381 { | |
| 5275 | 3382 Array<octave_idx_type> dummy_idx; |
| 4587 | 3383 return row_max (dummy_idx); |
| 458 | 3384 } |
| 3385 | |
| 3386 ComplexColumnVector | |
| 5275 | 3387 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3388 { |
| 3389 ComplexColumnVector result; | |
| 3390 | |
| 5275 | 3391 octave_idx_type nr = rows (); |
| 3392 octave_idx_type nc = cols (); | |
| 458 | 3393 |
| 3394 if (nr > 0 && nc > 0) | |
| 3395 { | |
| 3396 result.resize (nr); | |
|
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3397 idx_arg.resize (dim_vector (nr, 1)); |
| 458 | 3398 |
| 5275 | 3399 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3400 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3401 bool real_only = row_is_real_only (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3402 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3403 octave_idx_type idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3404 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3405 Complex tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3406 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3407 double abs_max = octave_NaN; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3408 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3409 for (idx_j = 0; idx_j < nc; idx_j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3410 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3411 tmp_max = elem (i, idx_j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3412 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3413 if (! xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3414 { |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3415 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
|
3416 : std::abs (tmp_max); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3417 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3418 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3419 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3420 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3421 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
|
3422 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3423 Complex tmp = elem (i, j); |
|
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 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3426 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3427 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3428 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
|
3429 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3430 if (abs_tmp > abs_max) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3431 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3432 idx_j = j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3433 tmp_max = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3434 abs_max = 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 } |
|
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 if (xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3439 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3440 result.elem (i) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3441 idx_arg.elem (i) = 0; |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3444 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3445 result.elem (i) = tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3446 idx_arg.elem (i) = idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3447 } |
| 458 | 3448 } |
| 3449 } | |
| 3450 | |
| 3451 return result; | |
| 3452 } | |
| 3453 | |
| 3454 ComplexRowVector | |
| 3455 ComplexMatrix::column_min (void) const | |
| 3456 { | |
| 5275 | 3457 Array<octave_idx_type> dummy_idx; |
| 4587 | 3458 return column_min (dummy_idx); |
| 458 | 3459 } |
| 3460 | |
| 3461 ComplexRowVector | |
| 5275 | 3462 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3463 { |
| 3464 ComplexRowVector result; | |
| 3465 | |
| 5275 | 3466 octave_idx_type nr = rows (); |
| 3467 octave_idx_type nc = cols (); | |
| 458 | 3468 |
| 3469 if (nr > 0 && nc > 0) | |
| 3470 { | |
| 3471 result.resize (nc); | |
|
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3472 idx_arg.resize (dim_vector (1, nc)); |
| 458 | 3473 |
| 5275 | 3474 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3475 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3476 bool real_only = column_is_real_only (j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3477 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3478 octave_idx_type idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3479 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3480 Complex tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3481 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3482 double abs_min = octave_NaN; |
|
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 for (idx_i = 0; idx_i < nr; 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 tmp_min = elem (idx_i, j); |
|
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 if (! xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3489 { |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3490 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
|
3491 : std::abs (tmp_min); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3492 break; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3495 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3496 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
|
3497 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3498 Complex tmp = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3499 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3500 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3501 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3502 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3503 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
|
3504 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3505 if (abs_tmp < abs_min) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3506 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3507 idx_i = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3508 tmp_min = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3509 abs_min = 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 } |
|
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 if (xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3514 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3515 result.elem (j) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3516 idx_arg.elem (j) = 0; |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3519 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3520 result.elem (j) = tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3521 idx_arg.elem (j) = idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3522 } |
| 458 | 3523 } |
| 3524 } | |
| 3525 | |
| 3526 return result; | |
| 3527 } | |
| 3528 | |
| 3529 ComplexRowVector | |
| 3530 ComplexMatrix::column_max (void) const | |
| 3531 { | |
| 5275 | 3532 Array<octave_idx_type> dummy_idx; |
| 4587 | 3533 return column_max (dummy_idx); |
| 458 | 3534 } |
| 3535 | |
| 3536 ComplexRowVector | |
| 5275 | 3537 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3538 { |
| 3539 ComplexRowVector result; | |
| 3540 | |
| 5275 | 3541 octave_idx_type nr = rows (); |
| 3542 octave_idx_type nc = cols (); | |
| 458 | 3543 |
| 3544 if (nr > 0 && nc > 0) | |
| 3545 { | |
| 3546 result.resize (nc); | |
|
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3547 idx_arg.resize (dim_vector (1, nc)); |
| 458 | 3548 |
| 5275 | 3549 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3550 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3551 bool real_only = column_is_real_only (j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3552 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3553 octave_idx_type idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3554 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3555 Complex tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3556 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3557 double abs_max = octave_NaN; |
|
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 for (idx_i = 0; idx_i < nr; 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 tmp_max = elem (idx_i, j); |
|
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 if (! xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3564 { |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3565 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
|
3566 : std::abs (tmp_max); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3567 break; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3570 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3571 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
|
3572 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3573 Complex tmp = elem (i, j); |
|
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 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3576 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3577 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3578 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
|
3579 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3580 if (abs_tmp > abs_max) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3581 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3582 idx_i = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3583 tmp_max = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3584 abs_max = 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 } |
|
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 if (xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3589 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3590 result.elem (j) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3591 idx_arg.elem (j) = 0; |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3594 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3595 result.elem (j) = tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3596 idx_arg.elem (j) = idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3597 } |
| 458 | 3598 } |
| 3599 } | |
| 3600 | |
| 3601 return result; | |
| 3602 } | |
| 3603 | |
| 3604 // i/o | |
| 3605 | |
| 3504 | 3606 std::ostream& |
| 3607 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3608 { |
| 5275 | 3609 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3610 { |
| 5275 | 3611 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
|
3612 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3613 os << " "; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3614 octave_write_complex (os, a.elem (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3615 } |
| 458 | 3616 os << "\n"; |
| 3617 } | |
| 3618 return os; | |
| 3619 } | |
| 3620 | |
| 3504 | 3621 std::istream& |
| 3622 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3623 { |
| 5275 | 3624 octave_idx_type nr = a.rows (); |
| 3625 octave_idx_type nc = a.cols (); | |
| 458 | 3626 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3627 if (nr > 0 && nc > 0) |
| 458 | 3628 { |
| 3629 Complex tmp; | |
| 5275 | 3630 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
|
3631 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3632 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3633 tmp = octave_read_value<Complex> (is); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3634 if (is) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3635 a.elem (i, j) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3636 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3637 goto done; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3638 } |
| 458 | 3639 } |
| 3640 | |
| 2993 | 3641 done: |
| 3642 | |
| 458 | 3643 return is; |
| 3644 } | |
| 3645 | |
| 1819 | 3646 ComplexMatrix |
| 3647 Givens (const Complex& x, const Complex& y) | |
| 3648 { | |
| 3649 double cc; | |
| 3650 Complex cs, temp_r; | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3651 |
| 3887 | 3652 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3653 |
| 3654 ComplexMatrix g (2, 2); | |
| 3655 | |
| 3656 g.elem (0, 0) = cc; | |
| 3657 g.elem (1, 1) = cc; | |
| 3658 g.elem (0, 1) = cs; | |
| 3659 g.elem (1, 0) = -conj (cs); | |
| 3660 | |
| 3661 return g; | |
| 3662 } | |
| 3663 | |
| 3664 ComplexMatrix | |
| 3665 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3666 const ComplexMatrix& c) |
| 1819 | 3667 { |
| 3668 ComplexMatrix retval; | |
| 3669 | |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3670 // FIXME: need to check that a, b, and c are all the same size. |
| 1819 | 3671 |
| 3672 // Compute Schur decompositions | |
| 3673 | |
| 3674 ComplexSCHUR as (a, "U"); | |
| 3675 ComplexSCHUR bs (b, "U"); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3676 |
| 1819 | 3677 // Transform c to new coordinates. |
| 3678 | |
| 3679 ComplexMatrix ua = as.unitary_matrix (); | |
| 3680 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3681 | |
| 3682 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3683 ComplexMatrix sch_b = bs.schur_matrix (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3684 |
| 1819 | 3685 ComplexMatrix cx = ua.hermitian () * c * ub; |
| 3686 | |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3687 // Solve the sylvester equation, back-transform, and return the solution. |
| 1819 | 3688 |
| 5275 | 3689 octave_idx_type a_nr = a.rows (); |
| 3690 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3691 |
| 3692 double scale; | |
| 5275 | 3693 octave_idx_type info; |
| 1950 | 3694 |
| 3695 Complex *pa = sch_a.fortran_vec (); | |
| 3696 Complex *pb = sch_b.fortran_vec (); | |
| 3697 Complex *px = cx.fortran_vec (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3698 |
| 4552 | 3699 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
|
3700 F77_CONST_CHAR_ARG2 ("N", 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3701 1, a_nr, b_nr, pa, a_nr, pb, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3702 b_nr, px, a_nr, scale, info |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3703 F77_CHAR_ARG_LEN (1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3704 F77_CHAR_ARG_LEN (1))); |
| 1950 | 3705 |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3706 // FIXME: check info? |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3707 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3708 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3709 |
| 3710 return retval; | |
| 3711 } | |
| 3712 | |
| 2828 | 3713 ComplexMatrix |
| 3714 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3715 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3716 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
|
3717 return ComplexMatrix (real (m) * a, imag (m) * a); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3718 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3719 return m * ComplexMatrix (a); |
| 2828 | 3720 } |
| 3721 | |
| 3722 ComplexMatrix | |
| 3723 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3724 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3725 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
|
3726 return ComplexMatrix (m * real (a), m * imag (a)); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3727 else |
|
11352
5ea2644b0111
fix cut and paste error in Matrix by ComplexMatrix multiplication operator
John W. Eaton <jwe@octave.org>
parents:
11130
diff
changeset
|
3728 return ComplexMatrix (m) * a; |
| 2828 | 3729 } |
| 3730 | |
|
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3731 /* |
|
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3732 |
|
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3733 ## 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
|
3734 %!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
|
3735 %!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
|
3736 %!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
|
3737 %!assert ([1 i]*[i 0]', -i); |
|
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 ## Test some simple identities |
| 6162 | 3740 %!shared M, cv, rv |
|
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3741 %! 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
|
3742 %! 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
|
3743 %! 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
|
3744 %!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
|
3745 %!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
|
3746 %!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
|
3747 %!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
|
3748 %!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
|
3749 %!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
|
3750 %!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
|
3751 |
| 6162 | 3752 */ |
| 3753 | |
| 11516 | 3754 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
|
3755 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
|
3756 { |
| 11516 | 3757 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
|
3758 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3759 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3760 // 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
|
3761 |
| 2828 | 3762 ComplexMatrix |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3763 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3764 blas_trans_type transa, blas_trans_type transb) |
| 2828 | 3765 { |
| 3766 ComplexMatrix retval; | |
| 3767 | |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3768 bool tra = transa != blas_no_trans, trb = transb != blas_no_trans; |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3769 bool cja = transa == blas_conj_trans, cjb = transb == blas_conj_trans; |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3770 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3771 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
|
3772 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
|
3773 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3774 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
|
3775 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
|
3776 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3777 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
|
3778 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3779 else |
| 3780 { | |
|
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
|
3781 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
|
3782 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
|
3783 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
|
3784 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3785 octave_idx_type lda = a.rows (); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3786 |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3787 // 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
|
3788 // 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
|
3789 // 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
|
3790 // 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
|
3791 |
|
a9cf422ed849
avoid apparent bug in ATLAS versions of CHERK/ZHERK
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3792 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3793 Complex *c = retval.fortran_vec (); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 |
| 11516 | 3795 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
|
3796 if (cja || cjb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3797 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3798 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
| 11516 | 3799 F77_CONST_CHAR_ARG2 (&ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3804 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
|
3805 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
|
3806 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
|
3807 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
| 11516 | 3811 F77_CONST_CHAR_ARG2 (&ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3812 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3813 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3814 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3816 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
|
3817 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
|
3818 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 } |
| 2828 | 3823 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3824 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3825 octave_idx_type lda = a.rows (), tda = a.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3826 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3827 |
|
13829
8e25d6d1db10
ensure that complex matrix multiplication results are fully initialized
John W. Eaton <jwe@octave.org>
parents:
13828
diff
changeset
|
3828 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3829 Complex *c = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3830 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3831 if (b_nc == 1 && a_nr == 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3832 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3833 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
|
3834 { |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3835 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
|
3836 *c); |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3837 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
|
3838 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3839 else if (cja) |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3840 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
|
3841 *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
|
3842 else |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3843 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
|
3844 *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
|
3845 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3846 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
|
3847 { |
| 11516 | 3848 const char ctra = get_blas_trans_arg (tra, cja); |
| 3849 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
|
3850 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
|
3851 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
|
3852 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
|
3853 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3854 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
|
3855 { |
| 11516 | 3856 const char crevtrb = get_blas_trans_arg (! trb, cjb); |
| 3857 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
|
3858 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
|
3859 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
|
3860 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
|
3861 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3862 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3863 { |
| 11516 | 3864 const char ctra = get_blas_trans_arg (tra, cja); |
| 3865 const char ctrb = get_blas_trans_arg (trb, cjb); | |
| 3866 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
| 3867 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3868 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
|
3869 lda, b.data (), ldb, 0.0, c, a_nr |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3870 F77_CHAR_ARG_LEN (1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3871 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3872 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3873 } |
| 2828 | 3874 } |
| 3875 | |
| 3876 return retval; | |
| 3877 } | |
| 3878 | |
|
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
|
3879 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
|
3880 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
|
3881 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3882 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
|
3883 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3884 |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3885 // FIXME: it would be nice to share code among the min/max functions below. |
| 4309 | 3886 |
| 3887 #define EMPTY_RETURN_CHECK(T) \ | |
| 3888 if (nr == 0 || nc == 0) \ | |
| 3889 return T (nr, nc); | |
| 3890 | |
| 3891 ComplexMatrix | |
| 3892 min (const Complex& c, const ComplexMatrix& m) | |
| 3893 { | |
| 5275 | 3894 octave_idx_type nr = m.rows (); |
| 3895 octave_idx_type nc = m.columns (); | |
| 4309 | 3896 |
| 3897 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3898 | |
| 3899 ComplexMatrix result (nr, nc); | |
| 3900 | |
| 5275 | 3901 for (octave_idx_type j = 0; j < nc; j++) |
| 3902 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3903 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3904 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3905 result (i, j) = xmin (c, m (i, j)); |
| 4309 | 3906 } |
| 3907 | |
| 3908 return result; | |
| 3909 } | |
| 3910 | |
| 3911 ComplexMatrix | |
| 3912 min (const ComplexMatrix& m, const Complex& c) | |
| 3913 { | |
| 5275 | 3914 octave_idx_type nr = m.rows (); |
| 3915 octave_idx_type nc = m.columns (); | |
| 4309 | 3916 |
| 3917 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3918 | |
| 3919 ComplexMatrix result (nr, nc); | |
| 3920 | |
| 5275 | 3921 for (octave_idx_type j = 0; j < nc; j++) |
| 3922 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3923 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3924 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3925 result (i, j) = xmin (m (i, j), c); |
| 4309 | 3926 } |
| 3927 | |
| 3928 return result; | |
| 3929 } | |
| 3930 | |
| 3931 ComplexMatrix | |
| 3932 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3933 { | |
| 5275 | 3934 octave_idx_type nr = a.rows (); |
| 3935 octave_idx_type nc = a.columns (); | |
| 4309 | 3936 |
| 3937 if (nr != b.rows () || nc != b.columns ()) | |
| 3938 { | |
| 3939 (*current_liboctave_error_handler) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3940 ("two-arg min expecting args of same size"); |
| 4309 | 3941 return ComplexMatrix (); |
| 3942 } | |
| 3943 | |
| 3944 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3945 | |
| 3946 ComplexMatrix result (nr, nc); | |
| 3947 | |
| 5275 | 3948 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3949 { |
| 3950 int columns_are_real_only = 1; | |
| 5275 | 3951 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
|
3952 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3953 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3954 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3955 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3956 columns_are_real_only = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3957 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3958 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3959 } |
| 4309 | 3960 |
| 3961 if (columns_are_real_only) | |
|
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 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3964 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3965 } |
| 4309 | 3966 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3967 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3968 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3969 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3970 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3971 result (i, j) = xmin (a (i, j), b (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3972 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3973 } |
| 4309 | 3974 } |
| 3975 | |
| 3976 return result; | |
| 3977 } | |
| 3978 | |
| 3979 ComplexMatrix | |
| 3980 max (const Complex& c, const ComplexMatrix& m) | |
| 3981 { | |
| 5275 | 3982 octave_idx_type nr = m.rows (); |
| 3983 octave_idx_type nc = m.columns (); | |
| 4309 | 3984 |
| 3985 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3986 | |
| 3987 ComplexMatrix result (nr, nc); | |
| 3988 | |
| 5275 | 3989 for (octave_idx_type j = 0; j < nc; j++) |
| 3990 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3991 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3992 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3993 result (i, j) = xmax (c, m (i, j)); |
| 4309 | 3994 } |
| 3995 | |
| 3996 return result; | |
| 3997 } | |
| 3998 | |
| 3999 ComplexMatrix | |
| 4000 max (const ComplexMatrix& m, const Complex& c) | |
| 4001 { | |
| 5275 | 4002 octave_idx_type nr = m.rows (); |
| 4003 octave_idx_type nc = m.columns (); | |
| 4309 | 4004 |
| 4005 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4006 | |
| 4007 ComplexMatrix result (nr, nc); | |
| 4008 | |
| 5275 | 4009 for (octave_idx_type j = 0; j < nc; j++) |
| 4010 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4011 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4012 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4013 result (i, j) = xmax (m (i, j), c); |
| 4309 | 4014 } |
| 4015 | |
| 4016 return result; | |
| 4017 } | |
| 4018 | |
| 4019 ComplexMatrix | |
| 4020 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4021 { | |
| 5275 | 4022 octave_idx_type nr = a.rows (); |
| 4023 octave_idx_type nc = a.columns (); | |
| 4309 | 4024 |
| 4025 if (nr != b.rows () || nc != b.columns ()) | |
| 4026 { | |
| 4027 (*current_liboctave_error_handler) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4028 ("two-arg max expecting args of same size"); |
| 4309 | 4029 return ComplexMatrix (); |
| 4030 } | |
| 4031 | |
| 4032 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4033 | |
| 4034 ComplexMatrix result (nr, nc); | |
| 4035 | |
| 5275 | 4036 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4037 { |
| 4038 int columns_are_real_only = 1; | |
| 5275 | 4039 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
|
4040 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4041 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4042 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4043 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4044 columns_are_real_only = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4045 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4046 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4047 } |
| 4309 | 4048 |
| 4049 if (columns_are_real_only) | |
|
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 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4052 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4053 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4054 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4055 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4056 } |
| 4309 | 4057 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4058 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4059 for (octave_idx_type i = 0; i < nr; i++) |
|
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 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
4062 result (i, j) = xmax (a (i, j), b (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4063 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4064 } |
| 4309 | 4065 } |
| 4066 | |
| 4067 return result; | |
| 4068 } | |
| 4069 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4070 ComplexMatrix linspace (const ComplexColumnVector& x1, |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4071 const ComplexColumnVector& x2, |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4072 octave_idx_type n) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4073 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4074 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4075 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4076 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4077 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4078 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4079 if (x2.length () != m) |
|
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4080 (*current_liboctave_error_handler) |
|
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
4081 ("linspace: vectors must be of equal length"); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
4082 |
|
e087d7c77ff9
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diff
changeset
|
4083 NoAlias<ComplexMatrix> retval; |
|
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4084 |
|
e087d7c77ff9
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parents:
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diff
changeset
|
4085 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
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diff
changeset
|
4086 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
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diff
changeset
|
4087 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4088 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4089 // The last column is not needed while using delta. |
|
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4090 Complex *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4091 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
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Jaroslav Hajek <highegg@gmail.com>
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9601
diff
changeset
|
4092 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
|
e087d7c77ff9
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|
4093 |
|
e087d7c77ff9
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9601
diff
changeset
|
4094 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4095 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
|
4096 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
|
9653
e087d7c77ff9
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9601
diff
changeset
|
4097 |
|
e087d7c77ff9
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parents:
9601
diff
changeset
|
4098 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
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diff
changeset
|
4099 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
improve linspace in liboctave
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9601
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changeset
|
4100 |
|
e087d7c77ff9
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9601
diff
changeset
|
4101 return retval; |
|
e087d7c77ff9
improve linspace in liboctave
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9601
diff
changeset
|
4102 } |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4103 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4104 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4105 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4106 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4107 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4108 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4109 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4110 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4111 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |