Mercurial > hg > octave-nkf
annotate liboctave/CMatrix.cc @ 10182:0522a65bcd56
assume unistd.h and sys/types.h exist
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Thu, 21 Jan 2010 15:41:19 -0500 |
| parents | 4c0cdbe0acca |
| children | f7ba6cfe7fb7 |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
| 8920 | 6 Copyright (C) 2008, 2009 Jaroslav Hajek |
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7 Copyright (C) 2009 VZLU Prague, a.s. |
| 458 | 8 |
| 9 This file is part of Octave. | |
| 10 | |
| 11 Octave is free software; you can redistribute it and/or modify it | |
| 12 under the terms of the GNU General Public License as published by the | |
| 7016 | 13 Free Software Foundation; either version 3 of the License, or (at your |
| 14 option) any later version. | |
| 458 | 15 |
| 16 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 19 for more details. | |
| 20 | |
| 21 You should have received a copy of the GNU General Public License | |
| 7016 | 22 along with Octave; see the file COPYING. If not, see |
| 23 <http://www.gnu.org/licenses/>. | |
| 458 | 24 |
| 25 */ | |
| 26 | |
| 27 #ifdef HAVE_CONFIG_H | |
| 1192 | 28 #include <config.h> |
| 458 | 29 #endif |
| 30 | |
| 1367 | 31 #include <cfloat> |
| 32 | |
| 3503 | 33 #include <iostream> |
| 6209 | 34 #include <vector> |
| 1367 | 35 |
| 5775 | 36 // FIXME |
| 2443 | 37 #include <sys/types.h> |
| 458 | 38 |
| 4669 | 39 #include "Array-util.h" |
| 2828 | 40 #include "CMatrix.h" |
| 1819 | 41 #include "CmplxAEPBAL.h" |
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42 #include "CmplxCHOL.h" |
| 1819 | 43 #include "CmplxSCHUR.h" |
| 740 | 44 #include "CmplxSVD.h" |
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45 #include "DET.h" |
| 1847 | 46 #include "f77-fcn.h" |
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47 #include "functor.h" |
| 458 | 48 #include "lo-error.h" |
| 2354 | 49 #include "lo-ieee.h" |
| 50 #include "lo-mappers.h" | |
| 1968 | 51 #include "lo-utils.h" |
| 1367 | 52 #include "mx-base.h" |
| 2828 | 53 #include "mx-cm-dm.h" |
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54 #include "mx-cm-s.h" |
| 3176 | 55 #include "mx-dm-cm.h" |
| 1367 | 56 #include "mx-inlines.cc" |
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57 #include "mx-op-defs.h" |
| 1650 | 58 #include "oct-cmplx.h" |
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59 #include "oct-fftw.h" |
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60 #include "oct-locbuf.h" |
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61 #include "oct-norm.h" |
| 458 | 62 |
| 63 // Fortran functions we call. | |
| 64 | |
| 65 extern "C" | |
| 66 { | |
| 7477 | 67 F77_RET_T |
| 68 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 69 F77_CONST_CHAR_ARG_DECL, | |
| 70 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 71 const octave_idx_type&, const octave_idx_type&, |
| 72 octave_idx_type& | |
| 73 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 74 |
| 4552 | 75 F77_RET_T |
| 76 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 77 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 78 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 79 F77_CHAR_ARG_LEN_DECL); |
| 80 | |
| 81 F77_RET_T | |
| 82 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 83 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 84 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 85 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 86 F77_CHAR_ARG_LEN_DECL |
| 87 F77_CHAR_ARG_LEN_DECL); | |
| 88 | |
| 89 F77_RET_T | |
| 90 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 91 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 92 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 93 const Complex&, const Complex*, const octave_idx_type&, | |
| 94 const Complex*, const octave_idx_type&, const Complex&, | |
| 95 Complex*, const octave_idx_type& | |
| 4552 | 96 F77_CHAR_ARG_LEN_DECL |
| 97 F77_CHAR_ARG_LEN_DECL); | |
| 98 | |
| 99 F77_RET_T | |
| 5983 | 100 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 101 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 102 const Complex*, const octave_idx_type&, const Complex*, | |
| 103 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 104 F77_CHAR_ARG_LEN_DECL); | |
| 105 | |
| 106 F77_RET_T | |
| 107 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 108 const Complex*, const octave_idx_type&, Complex&); | |
| 109 | |
| 110 F77_RET_T | |
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111 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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112 const Complex*, const octave_idx_type&, Complex&); |
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113 |
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114 F77_RET_T |
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115 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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116 F77_CONST_CHAR_ARG_DECL, |
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117 const octave_idx_type&, const octave_idx_type&, |
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118 const Complex&, const Complex*, const octave_idx_type&, |
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119 const Complex&, Complex*, const octave_idx_type& |
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120 F77_CHAR_ARG_LEN_DECL |
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121 F77_CHAR_ARG_LEN_DECL); |
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122 |
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123 F77_RET_T |
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124 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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125 F77_CONST_CHAR_ARG_DECL, |
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126 const octave_idx_type&, const octave_idx_type&, |
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127 const double&, const Complex*, const octave_idx_type&, |
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128 const double&, Complex*, const octave_idx_type& |
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129 F77_CHAR_ARG_LEN_DECL |
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130 F77_CHAR_ARG_LEN_DECL); |
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131 |
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132 F77_RET_T |
| 5275 | 133 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 134 octave_idx_type*, octave_idx_type&); | |
| 4552 | 135 |
| 136 F77_RET_T | |
| 137 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 138 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 139 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 140 F77_CHAR_ARG_LEN_DECL); |
| 141 | |
| 142 F77_RET_T | |
| 5275 | 143 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 144 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 145 |
| 146 F77_RET_T | |
| 147 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 148 const octave_idx_type&, Complex*, |
| 149 const octave_idx_type&, const double&, double&, | |
| 150 Complex*, double*, octave_idx_type& | |
| 4552 | 151 F77_CHAR_ARG_LEN_DECL); |
| 152 | |
| 153 F77_RET_T | |
| 7072 | 154 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 155 Complex*, const octave_idx_type&, Complex*, | |
| 156 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 157 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 158 | |
| 159 F77_RET_T | |
| 160 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 161 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 162 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 163 Complex*, const octave_idx_type&, double*, |
| 164 octave_idx_type*, octave_idx_type&); | |
| 458 | 165 |
| 5785 | 166 F77_RET_T |
| 167 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 168 Complex*, const octave_idx_type&, | |
| 169 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 170 | |
| 171 F77_RET_T | |
| 172 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 173 Complex*, const octave_idx_type&, const double&, | |
| 174 double&, Complex*, double*, | |
| 175 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 176 | |
| 177 F77_RET_T | |
| 178 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 179 const octave_idx_type&, const Complex*, | |
| 180 const octave_idx_type&, Complex*, | |
| 181 const octave_idx_type&, octave_idx_type& | |
| 182 F77_CHAR_ARG_LEN_DECL); | |
| 183 | |
| 184 F77_RET_T | |
| 6207 | 185 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 186 const octave_idx_type&, const Complex*, | |
| 187 const octave_idx_type&, octave_idx_type& | |
| 188 F77_CHAR_ARG_LEN_DECL | |
| 189 F77_CHAR_ARG_LEN_DECL); | |
| 190 | |
| 191 F77_RET_T | |
| 5785 | 192 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 193 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 194 const Complex*, const octave_idx_type&, double&, | |
| 195 Complex*, double*, octave_idx_type& | |
| 196 F77_CHAR_ARG_LEN_DECL | |
| 197 F77_CHAR_ARG_LEN_DECL | |
| 198 F77_CHAR_ARG_LEN_DECL); | |
| 199 | |
| 200 F77_RET_T | |
| 201 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 202 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 203 const octave_idx_type&, const Complex*, | |
| 204 const octave_idx_type&, Complex*, | |
| 205 const octave_idx_type&, octave_idx_type& | |
| 206 F77_CHAR_ARG_LEN_DECL | |
| 207 F77_CHAR_ARG_LEN_DECL | |
| 208 F77_CHAR_ARG_LEN_DECL); | |
| 209 | |
| 4552 | 210 F77_RET_T |
| 211 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 212 double&, Complex&, Complex&); | |
| 213 | |
| 214 F77_RET_T | |
| 215 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 216 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 217 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 218 const Complex*, const octave_idx_type&, | |
| 219 const Complex*, const octave_idx_type&, | |
| 220 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 221 F77_CHAR_ARG_LEN_DECL |
| 222 F77_CHAR_ARG_LEN_DECL); | |
| 223 | |
| 224 F77_RET_T | |
| 225 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 226 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 227 const octave_idx_type&, double*, double& | |
| 4552 | 228 F77_CHAR_ARG_LEN_DECL); |
| 458 | 229 } |
| 230 | |
| 2354 | 231 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 232 | |
| 1360 | 233 // Complex Matrix class |
| 458 | 234 |
| 235 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 236 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 237 { |
| 5275 | 238 for (octave_idx_type j = 0; j < cols (); j++) |
| 239 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 240 elem (i, j) = a.elem (i, j); |
| 241 } | |
| 242 | |
| 2349 | 243 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 244 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 245 { | |
| 5275 | 246 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 247 elem (0, i) = rv.elem (i); |
| 248 } | |
| 249 | |
| 250 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 251 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 252 { | |
| 5275 | 253 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 254 elem (i, 0) = cv.elem (i); |
| 255 } | |
| 256 | |
| 458 | 257 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 258 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 259 { |
| 5275 | 260 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 261 elem (i, i) = a.elem (i, i); |
| 262 } | |
| 263 | |
| 2349 | 264 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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265 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 266 { |
| 267 } | |
| 268 | |
| 269 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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270 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 271 { |
| 272 } | |
| 273 | |
| 458 | 274 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 275 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 276 { |
| 5275 | 277 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 278 elem (i, i) = a.elem (i, i); |
| 279 } | |
| 280 | |
| 5775 | 281 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 282 // here? |
| 283 | |
| 2828 | 284 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 285 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 286 { |
| 5275 | 287 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 288 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 289 elem (i, j) = a.elem (i, j); |
| 290 } | |
| 291 | |
| 1574 | 292 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 293 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 294 { |
| 5275 | 295 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 296 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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297 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 298 } |
| 299 | |
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300 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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301 : MArray2<Complex> (re.rows (), re.cols ()) |
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302 { |
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303 if (im.rows () != rows () || im.cols () != cols ()) |
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304 (*current_liboctave_error_handler) ("complex: internal error"); |
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305 |
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306 octave_idx_type nel = numel (); |
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307 for (octave_idx_type i = 0; i < nel; i++) |
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308 xelem (i) = Complex (re(i), im(i)); |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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309 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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310 |
| 2384 | 311 bool |
| 458 | 312 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 313 { | |
| 314 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 315 return false; |
| 458 | 316 |
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Jaroslav Hajek <highegg@gmail.com>
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317 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 318 } |
| 319 | |
| 2384 | 320 bool |
| 458 | 321 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 322 { | |
| 323 return !(*this == a); | |
| 324 } | |
| 325 | |
| 2815 | 326 bool |
| 327 ComplexMatrix::is_hermitian (void) const | |
| 328 { | |
| 5275 | 329 octave_idx_type nr = rows (); |
| 330 octave_idx_type nc = cols (); | |
| 2815 | 331 |
| 332 if (is_square () && nr > 0) | |
| 333 { | |
| 5275 | 334 for (octave_idx_type i = 0; i < nr; i++) |
| 335 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 336 if (elem (i, j) != conj (elem (j, i))) |
| 337 return false; | |
| 338 | |
| 339 return true; | |
| 340 } | |
| 341 | |
| 342 return false; | |
| 343 } | |
| 344 | |
| 458 | 345 // destructive insert/delete/reorder operations |
| 346 | |
| 347 ComplexMatrix& | |
| 5275 | 348 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 349 { |
| 5275 | 350 octave_idx_type a_nr = a.rows (); |
| 351 octave_idx_type a_nc = a.cols (); | |
| 1699 | 352 |
| 353 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 354 { |
| 355 (*current_liboctave_error_handler) ("range error for insert"); | |
| 356 return *this; | |
| 357 } | |
| 358 | |
| 4316 | 359 if (a_nr >0 && a_nc > 0) |
| 360 { | |
| 361 make_unique (); | |
| 362 | |
| 5275 | 363 for (octave_idx_type j = 0; j < a_nc; j++) |
| 364 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 365 xelem (r+i, c+j) = a.elem (i, j); |
| 366 } | |
| 458 | 367 |
| 368 return *this; | |
| 369 } | |
| 370 | |
| 371 ComplexMatrix& | |
| 5275 | 372 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 373 { |
| 5275 | 374 octave_idx_type a_len = a.length (); |
| 4316 | 375 |
| 1699 | 376 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 377 { |
| 378 (*current_liboctave_error_handler) ("range error for insert"); | |
| 379 return *this; | |
| 380 } | |
| 381 | |
| 4316 | 382 if (a_len > 0) |
| 383 { | |
| 384 make_unique (); | |
| 385 | |
| 5275 | 386 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 387 xelem (r, c+i) = a.elem (i); |
| 388 } | |
| 458 | 389 |
| 390 return *this; | |
| 391 } | |
| 392 | |
| 393 ComplexMatrix& | |
| 5275 | 394 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 395 { |
| 5275 | 396 octave_idx_type a_len = a.length (); |
| 4316 | 397 |
| 1699 | 398 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 399 { |
| 400 (*current_liboctave_error_handler) ("range error for insert"); | |
| 401 return *this; | |
| 402 } | |
| 403 | |
| 4316 | 404 if (a_len > 0) |
| 405 { | |
| 406 make_unique (); | |
| 407 | |
| 5275 | 408 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 409 xelem (r+i, c) = a.elem (i); |
| 410 } | |
| 458 | 411 |
| 412 return *this; | |
| 413 } | |
| 414 | |
| 415 ComplexMatrix& | |
| 5275 | 416 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 417 { |
| 5275 | 418 octave_idx_type a_nr = a.rows (); |
| 419 octave_idx_type a_nc = a.cols (); | |
| 1699 | 420 |
| 421 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 422 { |
| 423 (*current_liboctave_error_handler) ("range error for insert"); | |
| 424 return *this; | |
| 425 } | |
| 426 | |
| 1699 | 427 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 428 | |
| 5275 | 429 octave_idx_type a_len = a.length (); |
| 4316 | 430 |
| 431 if (a_len > 0) | |
| 432 { | |
| 433 make_unique (); | |
| 434 | |
| 5275 | 435 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 436 xelem (r+i, c+i) = a.elem (i, i); |
| 437 } | |
| 458 | 438 |
| 439 return *this; | |
| 440 } | |
| 441 | |
| 442 ComplexMatrix& | |
| 5275 | 443 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 444 { |
| 1561 | 445 Array2<Complex>::insert (a, r, c); |
| 458 | 446 return *this; |
| 447 } | |
| 448 | |
| 449 ComplexMatrix& | |
| 5275 | 450 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 451 { |
| 5275 | 452 octave_idx_type a_len = a.length (); |
| 1699 | 453 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 454 { |
| 455 (*current_liboctave_error_handler) ("range error for insert"); | |
| 456 return *this; | |
| 457 } | |
| 458 | |
| 5275 | 459 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 460 elem (r, c+i) = a.elem (i); |
| 461 | |
| 462 return *this; | |
| 463 } | |
| 464 | |
| 465 ComplexMatrix& | |
| 5275 | 466 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 467 { |
| 5275 | 468 octave_idx_type a_len = a.length (); |
| 4316 | 469 |
| 1699 | 470 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 471 { |
| 472 (*current_liboctave_error_handler) ("range error for insert"); | |
| 473 return *this; | |
| 474 } | |
| 475 | |
| 4316 | 476 if (a_len > 0) |
| 477 { | |
| 478 make_unique (); | |
| 479 | |
| 5275 | 480 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 481 xelem (r+i, c) = a.elem (i); |
| 482 } | |
| 458 | 483 |
| 484 return *this; | |
| 485 } | |
| 486 | |
| 487 ComplexMatrix& | |
| 5275 | 488 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 489 { |
| 5275 | 490 octave_idx_type a_nr = a.rows (); |
| 491 octave_idx_type a_nc = a.cols (); | |
| 1699 | 492 |
| 493 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 494 { |
| 495 (*current_liboctave_error_handler) ("range error for insert"); | |
| 496 return *this; | |
| 497 } | |
| 498 | |
| 1699 | 499 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 500 | |
| 5275 | 501 octave_idx_type a_len = a.length (); |
| 4316 | 502 |
| 503 if (a_len > 0) | |
| 504 { | |
| 505 make_unique (); | |
| 506 | |
| 5275 | 507 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 508 xelem (r+i, c+i) = a.elem (i, i); |
| 509 } | |
| 458 | 510 |
| 511 return *this; | |
| 512 } | |
| 513 | |
| 514 ComplexMatrix& | |
| 515 ComplexMatrix::fill (double val) | |
| 516 { | |
| 5275 | 517 octave_idx_type nr = rows (); |
| 518 octave_idx_type nc = cols (); | |
| 4316 | 519 |
| 458 | 520 if (nr > 0 && nc > 0) |
| 4316 | 521 { |
| 522 make_unique (); | |
| 523 | |
| 5275 | 524 for (octave_idx_type j = 0; j < nc; j++) |
| 525 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 526 xelem (i, j) = val; |
| 527 } | |
| 458 | 528 |
| 529 return *this; | |
| 530 } | |
| 531 | |
| 532 ComplexMatrix& | |
| 533 ComplexMatrix::fill (const Complex& val) | |
| 534 { | |
| 5275 | 535 octave_idx_type nr = rows (); |
| 536 octave_idx_type nc = cols (); | |
| 4316 | 537 |
| 458 | 538 if (nr > 0 && nc > 0) |
| 4316 | 539 { |
| 540 make_unique (); | |
| 541 | |
| 5275 | 542 for (octave_idx_type j = 0; j < nc; j++) |
| 543 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 544 xelem (i, j) = val; |
| 545 } | |
| 458 | 546 |
| 547 return *this; | |
| 548 } | |
| 549 | |
| 550 ComplexMatrix& | |
| 5275 | 551 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 552 { |
| 5275 | 553 octave_idx_type nr = rows (); |
| 554 octave_idx_type nc = cols (); | |
| 4316 | 555 |
| 458 | 556 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 557 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 558 { | |
| 559 (*current_liboctave_error_handler) ("range error for fill"); | |
| 560 return *this; | |
| 561 } | |
| 562 | |
| 5275 | 563 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 564 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 565 |
| 4316 | 566 if (r2 >= r1 && c2 >= c1) |
| 567 { | |
| 568 make_unique (); | |
| 569 | |
| 5275 | 570 for (octave_idx_type j = c1; j <= c2; j++) |
| 571 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 572 xelem (i, j) = val; |
| 573 } | |
| 458 | 574 |
| 575 return *this; | |
| 576 } | |
| 577 | |
| 578 ComplexMatrix& | |
| 5275 | 579 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 580 { |
| 5275 | 581 octave_idx_type nr = rows (); |
| 582 octave_idx_type nc = cols (); | |
| 4316 | 583 |
| 458 | 584 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 585 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 586 { | |
| 587 (*current_liboctave_error_handler) ("range error for fill"); | |
| 588 return *this; | |
| 589 } | |
| 590 | |
| 5275 | 591 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 592 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 593 |
| 4316 | 594 if (r2 >= r1 && c2 >=c1) |
| 595 { | |
| 596 make_unique (); | |
| 597 | |
| 5275 | 598 for (octave_idx_type j = c1; j <= c2; j++) |
| 599 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 600 xelem (i, j) = val; |
| 601 } | |
| 458 | 602 |
| 603 return *this; | |
| 604 } | |
| 605 | |
| 606 ComplexMatrix | |
| 607 ComplexMatrix::append (const Matrix& a) const | |
| 608 { | |
| 5275 | 609 octave_idx_type nr = rows (); |
| 610 octave_idx_type nc = cols (); | |
| 458 | 611 if (nr != a.rows ()) |
| 612 { | |
| 613 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 614 return *this; | |
| 615 } | |
| 616 | |
| 5275 | 617 octave_idx_type nc_insert = nc; |
| 458 | 618 ComplexMatrix retval (nr, nc + a.cols ()); |
| 619 retval.insert (*this, 0, 0); | |
| 620 retval.insert (a, 0, nc_insert); | |
| 621 return retval; | |
| 622 } | |
| 623 | |
| 624 ComplexMatrix | |
| 625 ComplexMatrix::append (const RowVector& a) const | |
| 626 { | |
| 5275 | 627 octave_idx_type nr = rows (); |
| 628 octave_idx_type nc = cols (); | |
| 458 | 629 if (nr != 1) |
| 630 { | |
| 631 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 632 return *this; | |
| 633 } | |
| 634 | |
| 5275 | 635 octave_idx_type nc_insert = nc; |
| 458 | 636 ComplexMatrix retval (nr, nc + a.length ()); |
| 637 retval.insert (*this, 0, 0); | |
| 638 retval.insert (a, 0, nc_insert); | |
| 639 return retval; | |
| 640 } | |
| 641 | |
| 642 ComplexMatrix | |
| 643 ComplexMatrix::append (const ColumnVector& a) const | |
| 644 { | |
| 5275 | 645 octave_idx_type nr = rows (); |
| 646 octave_idx_type nc = cols (); | |
| 458 | 647 if (nr != a.length ()) |
| 648 { | |
| 649 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 650 return *this; | |
| 651 } | |
| 652 | |
| 5275 | 653 octave_idx_type nc_insert = nc; |
| 458 | 654 ComplexMatrix retval (nr, nc + 1); |
| 655 retval.insert (*this, 0, 0); | |
| 656 retval.insert (a, 0, nc_insert); | |
| 657 return retval; | |
| 658 } | |
| 659 | |
| 660 ComplexMatrix | |
| 661 ComplexMatrix::append (const DiagMatrix& a) const | |
| 662 { | |
| 5275 | 663 octave_idx_type nr = rows (); |
| 664 octave_idx_type nc = cols (); | |
| 458 | 665 if (nr != a.rows ()) |
| 666 { | |
| 667 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 668 return *this; | |
| 669 } | |
| 670 | |
| 5275 | 671 octave_idx_type nc_insert = nc; |
| 458 | 672 ComplexMatrix retval (nr, nc + a.cols ()); |
| 673 retval.insert (*this, 0, 0); | |
| 674 retval.insert (a, 0, nc_insert); | |
| 675 return retval; | |
| 676 } | |
| 677 | |
| 678 ComplexMatrix | |
| 679 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 680 { | |
| 5275 | 681 octave_idx_type nr = rows (); |
| 682 octave_idx_type nc = cols (); | |
| 458 | 683 if (nr != a.rows ()) |
| 684 { | |
| 685 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 686 return *this; | |
| 687 } | |
| 688 | |
| 5275 | 689 octave_idx_type nc_insert = nc; |
| 458 | 690 ComplexMatrix retval (nr, nc + a.cols ()); |
| 691 retval.insert (*this, 0, 0); | |
| 692 retval.insert (a, 0, nc_insert); | |
| 693 return retval; | |
| 694 } | |
| 695 | |
| 696 ComplexMatrix | |
| 697 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 698 { | |
| 5275 | 699 octave_idx_type nr = rows (); |
| 700 octave_idx_type nc = cols (); | |
| 458 | 701 if (nr != 1) |
| 702 { | |
| 703 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 704 return *this; | |
| 705 } | |
| 706 | |
| 5275 | 707 octave_idx_type nc_insert = nc; |
| 458 | 708 ComplexMatrix retval (nr, nc + a.length ()); |
| 709 retval.insert (*this, 0, 0); | |
| 710 retval.insert (a, 0, nc_insert); | |
| 711 return retval; | |
| 712 } | |
| 713 | |
| 714 ComplexMatrix | |
| 715 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 716 { | |
| 5275 | 717 octave_idx_type nr = rows (); |
| 718 octave_idx_type nc = cols (); | |
| 458 | 719 if (nr != a.length ()) |
| 720 { | |
| 721 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 722 return *this; | |
| 723 } | |
| 724 | |
| 5275 | 725 octave_idx_type nc_insert = nc; |
| 458 | 726 ComplexMatrix retval (nr, nc + 1); |
| 727 retval.insert (*this, 0, 0); | |
| 728 retval.insert (a, 0, nc_insert); | |
| 729 return retval; | |
| 730 } | |
| 731 | |
| 732 ComplexMatrix | |
| 733 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 734 { | |
| 5275 | 735 octave_idx_type nr = rows (); |
| 736 octave_idx_type nc = cols (); | |
| 458 | 737 if (nr != a.rows ()) |
| 738 { | |
| 739 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 740 return *this; | |
| 741 } | |
| 742 | |
| 5275 | 743 octave_idx_type nc_insert = nc; |
| 458 | 744 ComplexMatrix retval (nr, nc + a.cols ()); |
| 745 retval.insert (*this, 0, 0); | |
| 746 retval.insert (a, 0, nc_insert); | |
| 747 return retval; | |
| 748 } | |
| 749 | |
| 750 ComplexMatrix | |
| 751 ComplexMatrix::stack (const Matrix& a) const | |
| 752 { | |
| 5275 | 753 octave_idx_type nr = rows (); |
| 754 octave_idx_type nc = cols (); | |
| 458 | 755 if (nc != a.cols ()) |
| 756 { | |
| 757 (*current_liboctave_error_handler) | |
| 758 ("column dimension mismatch for stack"); | |
| 759 return *this; | |
| 760 } | |
| 761 | |
| 5275 | 762 octave_idx_type nr_insert = nr; |
| 458 | 763 ComplexMatrix retval (nr + a.rows (), nc); |
| 764 retval.insert (*this, 0, 0); | |
| 765 retval.insert (a, nr_insert, 0); | |
| 766 return retval; | |
| 767 } | |
| 768 | |
| 769 ComplexMatrix | |
| 770 ComplexMatrix::stack (const RowVector& a) const | |
| 771 { | |
| 5275 | 772 octave_idx_type nr = rows (); |
| 773 octave_idx_type nc = cols (); | |
| 458 | 774 if (nc != a.length ()) |
| 775 { | |
| 776 (*current_liboctave_error_handler) | |
| 777 ("column dimension mismatch for stack"); | |
| 778 return *this; | |
| 779 } | |
| 780 | |
| 5275 | 781 octave_idx_type nr_insert = nr; |
| 458 | 782 ComplexMatrix retval (nr + 1, nc); |
| 783 retval.insert (*this, 0, 0); | |
| 784 retval.insert (a, nr_insert, 0); | |
| 785 return retval; | |
| 786 } | |
| 787 | |
| 788 ComplexMatrix | |
| 789 ComplexMatrix::stack (const ColumnVector& a) const | |
| 790 { | |
| 5275 | 791 octave_idx_type nr = rows (); |
| 792 octave_idx_type nc = cols (); | |
| 458 | 793 if (nc != 1) |
| 794 { | |
| 795 (*current_liboctave_error_handler) | |
| 796 ("column dimension mismatch for stack"); | |
| 797 return *this; | |
| 798 } | |
| 799 | |
| 5275 | 800 octave_idx_type nr_insert = nr; |
| 458 | 801 ComplexMatrix retval (nr + a.length (), nc); |
| 802 retval.insert (*this, 0, 0); | |
| 803 retval.insert (a, nr_insert, 0); | |
| 804 return retval; | |
| 805 } | |
| 806 | |
| 807 ComplexMatrix | |
| 808 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 809 { | |
| 5275 | 810 octave_idx_type nr = rows (); |
| 811 octave_idx_type nc = cols (); | |
| 458 | 812 if (nc != a.cols ()) |
| 813 { | |
| 814 (*current_liboctave_error_handler) | |
| 815 ("column dimension mismatch for stack"); | |
| 816 return *this; | |
| 817 } | |
| 818 | |
| 5275 | 819 octave_idx_type nr_insert = nr; |
| 458 | 820 ComplexMatrix retval (nr + a.rows (), nc); |
| 821 retval.insert (*this, 0, 0); | |
| 822 retval.insert (a, nr_insert, 0); | |
| 823 return retval; | |
| 824 } | |
| 825 | |
| 826 ComplexMatrix | |
| 827 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 828 { | |
| 5275 | 829 octave_idx_type nr = rows (); |
| 830 octave_idx_type nc = cols (); | |
| 458 | 831 if (nc != a.cols ()) |
| 832 { | |
| 833 (*current_liboctave_error_handler) | |
| 834 ("column dimension mismatch for stack"); | |
| 835 return *this; | |
| 836 } | |
| 837 | |
| 5275 | 838 octave_idx_type nr_insert = nr; |
| 458 | 839 ComplexMatrix retval (nr + a.rows (), nc); |
| 840 retval.insert (*this, 0, 0); | |
| 841 retval.insert (a, nr_insert, 0); | |
| 842 return retval; | |
| 843 } | |
| 844 | |
| 845 ComplexMatrix | |
| 846 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 847 { | |
| 5275 | 848 octave_idx_type nr = rows (); |
| 849 octave_idx_type nc = cols (); | |
| 458 | 850 if (nc != a.length ()) |
| 851 { | |
| 852 (*current_liboctave_error_handler) | |
| 853 ("column dimension mismatch for stack"); | |
| 854 return *this; | |
| 855 } | |
| 856 | |
| 5275 | 857 octave_idx_type nr_insert = nr; |
| 458 | 858 ComplexMatrix retval (nr + 1, nc); |
| 859 retval.insert (*this, 0, 0); | |
| 860 retval.insert (a, nr_insert, 0); | |
| 861 return retval; | |
| 862 } | |
| 863 | |
| 864 ComplexMatrix | |
| 865 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 866 { | |
| 5275 | 867 octave_idx_type nr = rows (); |
| 868 octave_idx_type nc = cols (); | |
| 458 | 869 if (nc != 1) |
| 870 { | |
| 871 (*current_liboctave_error_handler) | |
| 872 ("column dimension mismatch for stack"); | |
| 873 return *this; | |
| 874 } | |
| 875 | |
| 5275 | 876 octave_idx_type nr_insert = nr; |
| 458 | 877 ComplexMatrix retval (nr + a.length (), nc); |
| 878 retval.insert (*this, 0, 0); | |
| 879 retval.insert (a, nr_insert, 0); | |
| 880 return retval; | |
| 881 } | |
| 882 | |
| 883 ComplexMatrix | |
| 884 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 885 { | |
| 5275 | 886 octave_idx_type nr = rows (); |
| 887 octave_idx_type nc = cols (); | |
| 458 | 888 if (nc != a.cols ()) |
| 889 { | |
| 890 (*current_liboctave_error_handler) | |
| 891 ("column dimension mismatch for stack"); | |
| 892 return *this; | |
| 893 } | |
| 894 | |
| 5275 | 895 octave_idx_type nr_insert = nr; |
| 458 | 896 ComplexMatrix retval (nr + a.rows (), nc); |
| 897 retval.insert (*this, 0, 0); | |
| 898 retval.insert (a, nr_insert, 0); | |
| 899 return retval; | |
| 900 } | |
| 901 | |
| 902 ComplexMatrix | |
| 903 conj (const ComplexMatrix& a) | |
| 904 { | |
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905 return ComplexMatrix (mx_inline_conj_dup (a.data (), a.length ()), |
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|
906 a.rows (), a.cols ()); |
| 458 | 907 } |
| 908 | |
| 909 // resize is the destructive equivalent for this one | |
| 910 | |
| 911 ComplexMatrix | |
| 5275 | 912 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 913 { |
| 5275 | 914 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 915 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 916 | |
| 917 octave_idx_type new_r = r2 - r1 + 1; | |
| 918 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 919 |
| 920 ComplexMatrix result (new_r, new_c); | |
| 921 | |
| 5275 | 922 for (octave_idx_type j = 0; j < new_c; j++) |
| 923 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 924 result.xelem (i, j) = elem (r1+i, c1+j); |
| 925 | |
| 926 return result; | |
| 927 } | |
| 928 | |
| 929 ComplexMatrix | |
| 5275 | 930 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 931 { |
| 932 ComplexMatrix result (nr, nc); | |
| 933 | |
| 5275 | 934 for (octave_idx_type j = 0; j < nc; j++) |
| 935 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 936 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 937 |
| 938 return result; | |
| 939 } | |
| 940 | |
| 941 // extract row or column i. | |
| 942 | |
| 943 ComplexRowVector | |
| 5275 | 944 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 945 { |
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946 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 947 } |
| 948 | |
| 949 ComplexColumnVector | |
| 5275 | 950 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 951 { |
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952 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 953 } |
| 954 | |
| 955 ComplexMatrix | |
| 956 ComplexMatrix::inverse (void) const | |
| 957 { | |
| 5275 | 958 octave_idx_type info; |
| 7788 | 959 double rcon; |
| 6207 | 960 MatrixType mattype (*this); |
| 7788 | 961 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 962 } |
| 963 | |
| 964 ComplexMatrix | |
| 6479 | 965 ComplexMatrix::inverse (octave_idx_type& info) const |
| 966 { | |
| 7788 | 967 double rcon; |
| 6479 | 968 MatrixType mattype (*this); |
| 7788 | 969 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 970 } |
| 971 | |
| 972 ComplexMatrix | |
| 7788 | 973 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 974 int calc_cond) const |
| 975 { | |
| 976 MatrixType mattype (*this); | |
| 7788 | 977 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 978 } |
| 979 | |
| 980 ComplexMatrix | |
| 6207 | 981 ComplexMatrix::inverse (MatrixType &mattype) const |
| 982 { | |
| 983 octave_idx_type info; | |
| 7788 | 984 double rcon; |
| 985 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 986 } |
| 987 | |
| 988 ComplexMatrix | |
| 989 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 990 { | |
| 7788 | 991 double rcon; |
| 992 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 993 } |
| 994 | |
| 995 ComplexMatrix | |
| 6207 | 996 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 997 double& rcon, int force, int calc_cond) const |
| 458 | 998 { |
| 6207 | 999 ComplexMatrix retval; |
| 1000 | |
| 1001 octave_idx_type nr = rows (); | |
| 1002 octave_idx_type nc = cols (); | |
| 1003 | |
| 1004 if (nr != nc || nr == 0 || nc == 0) | |
| 1005 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1006 else | |
| 1007 { | |
| 1008 int typ = mattype.type (); | |
| 1009 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1010 char udiag = 'N'; | |
| 1011 retval = *this; | |
| 1012 Complex *tmp_data = retval.fortran_vec (); | |
| 1013 | |
| 1014 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1015 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1016 nr, tmp_data, nr, info | |
| 1017 F77_CHAR_ARG_LEN (1) | |
| 1018 F77_CHAR_ARG_LEN (1))); | |
| 1019 | |
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1020 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1021 rcon = 0.0; |
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1022 if (info != 0) |
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1023 info = -1; |
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1024 else if (calc_cond) |
| 6207 | 1025 { |
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1026 octave_idx_type ztrcon_info = 0; |
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1027 char job = '1'; |
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1028 |
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1029 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1030 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1031 |
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1032 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1033 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1034 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1035 nr, tmp_data, nr, rcon, |
|
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1036 cwork, rwork, ztrcon_info |
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1037 F77_CHAR_ARG_LEN (1) |
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1038 F77_CHAR_ARG_LEN (1) |
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1039 F77_CHAR_ARG_LEN (1))); |
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1040 |
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1041 if (ztrcon_info != 0) |
| 6207 | 1042 info = -1; |
| 1043 } | |
| 1044 | |
| 1045 if (info == -1 && ! force) | |
| 1046 retval = *this; // Restore matrix contents. | |
| 1047 } | |
| 1048 | |
| 1049 return retval; | |
| 458 | 1050 } |
| 1051 | |
| 1052 ComplexMatrix | |
| 6207 | 1053 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1054 double& rcon, int force, int calc_cond) const |
| 458 | 1055 { |
| 1948 | 1056 ComplexMatrix retval; |
| 1057 | |
| 5275 | 1058 octave_idx_type nr = rows (); |
| 1059 octave_idx_type nc = cols (); | |
| 1948 | 1060 |
| 458 | 1061 if (nr != nc) |
| 1948 | 1062 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1063 else |
| 1064 { | |
| 5275 | 1065 Array<octave_idx_type> ipvt (nr); |
| 1066 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1067 |
| 1068 retval = *this; | |
| 1069 Complex *tmp_data = retval.fortran_vec (); | |
| 1070 | |
| 4329 | 1071 Array<Complex> z(1); |
| 5275 | 1072 octave_idx_type lwork = -1; |
| 4330 | 1073 |
| 1074 // Query the optimum work array size. | |
| 4329 | 1075 |
| 1076 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1077 z.fortran_vec (), lwork, info)); | |
| 1078 | |
| 5315 | 1079 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1080 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1081 z.resize (lwork); | |
| 1082 Complex *pz = z.fortran_vec (); | |
| 1083 | |
| 1084 info = 0; | |
| 1085 | |
| 4330 | 1086 // Calculate the norm of the matrix, for later use. |
| 4329 | 1087 double anorm; |
| 1088 if (calc_cond) | |
| 5275 | 1089 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1090 |
| 1091 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1092 |
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1093 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1094 rcon = 0.0; |
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1095 if (info != 0) |
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1096 info = -1; |
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1097 else if (calc_cond) |
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1098 { |
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1099 // Now calculate the condition number for non-singular matrix. |
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1100 octave_idx_type zgecon_info = 0; |
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1101 char job = '1'; |
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1102 Array<double> rz (2 * nc); |
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1103 double *prz = rz.fortran_vec (); |
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1104 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1105 nc, tmp_data, nr, anorm, |
| 7788 | 1106 rcon, pz, prz, zgecon_info |
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1107 F77_CHAR_ARG_LEN (1))); |
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1108 |
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1109 if (zgecon_info != 0) |
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1110 info = -1; |
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1111 } |
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1112 |
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1113 if (info == -1 && ! force) |
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1114 retval = *this; // Restore contents. |
| 1948 | 1115 else |
| 1116 { | |
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1117 octave_idx_type zgetri_info = 0; |
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1118 |
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1119 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1120 pz, lwork, zgetri_info)); |
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1121 |
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1122 if (zgetri_info != 0) |
| 1948 | 1123 info = -1; |
| 1124 } | |
| 6207 | 1125 |
| 1126 if (info != 0) | |
| 1127 mattype.mark_as_rectangular(); | |
| 458 | 1128 } |
| 4329 | 1129 |
| 1948 | 1130 return retval; |
| 458 | 1131 } |
| 1132 | |
| 1133 ComplexMatrix | |
| 6207 | 1134 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1135 double& rcon, int force, int calc_cond) const |
| 6207 | 1136 { |
| 1137 int typ = mattype.type (false); | |
| 1138 ComplexMatrix ret; | |
| 1139 | |
| 1140 if (typ == MatrixType::Unknown) | |
| 1141 typ = mattype.type (*this); | |
| 1142 | |
| 1143 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1144 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1145 else |
| 6207 | 1146 { |
| 1147 if (mattype.is_hermitian ()) | |
| 1148 { | |
| 6486 | 1149 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1150 if (info == 0) |
| 6486 | 1151 { |
| 1152 if (calc_cond) | |
| 7788 | 1153 rcon = chol.rcond(); |
| 6486 | 1154 else |
| 7788 | 1155 rcon = 1.0; |
| 6486 | 1156 ret = chol.inverse (); |
| 1157 } | |
| 6207 | 1158 else |
| 1159 mattype.mark_as_unsymmetric (); | |
| 1160 } | |
| 1161 | |
| 1162 if (!mattype.is_hermitian ()) | |
| 7788 | 1163 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1164 | |
| 1165 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1166 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1167 } |
| 1168 | |
| 1169 return ret; | |
| 1170 } | |
| 1171 | |
| 1172 ComplexMatrix | |
| 4384 | 1173 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1174 { |
| 1549 | 1175 ComplexMatrix retval; |
| 1176 | |
| 3480 | 1177 ComplexSVD result (*this, SVD::economy); |
| 740 | 1178 |
| 1179 DiagMatrix S = result.singular_values (); | |
| 1180 ComplexMatrix U = result.left_singular_matrix (); | |
| 1181 ComplexMatrix V = result.right_singular_matrix (); | |
| 1182 | |
| 1183 ColumnVector sigma = S.diag (); | |
| 1184 | |
| 5275 | 1185 octave_idx_type r = sigma.length () - 1; |
| 1186 octave_idx_type nr = rows (); | |
| 1187 octave_idx_type nc = cols (); | |
| 740 | 1188 |
| 1189 if (tol <= 0.0) | |
| 1190 { | |
| 1191 if (nr > nc) | |
| 1192 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1193 else | |
| 1194 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1195 } | |
| 1196 | |
| 1197 while (r >= 0 && sigma.elem (r) < tol) | |
| 1198 r--; | |
| 1199 | |
| 1200 if (r < 0) | |
| 1549 | 1201 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1202 else |
| 1203 { | |
| 1204 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1205 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1206 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1207 retval = Vr * D * Ur.hermitian (); |
| 740 | 1208 } |
| 1549 | 1209 |
| 1210 return retval; | |
| 740 | 1211 } |
| 1212 | |
|
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1213 #if defined (HAVE_FFTW) |
| 3827 | 1214 |
| 1215 ComplexMatrix | |
| 1216 ComplexMatrix::fourier (void) const | |
| 1217 { | |
| 1218 size_t nr = rows (); | |
| 1219 size_t nc = cols (); | |
| 1220 | |
| 1221 ComplexMatrix retval (nr, nc); | |
| 1222 | |
| 1223 size_t npts, nsamples; | |
| 1224 | |
| 1225 if (nr == 1 || nc == 1) | |
| 1226 { | |
| 1227 npts = nr > nc ? nr : nc; | |
| 1228 nsamples = 1; | |
| 1229 } | |
| 1230 else | |
| 1231 { | |
| 1232 npts = nr; | |
| 1233 nsamples = nc; | |
| 1234 } | |
| 1235 | |
| 1236 const Complex *in (data ()); | |
| 1237 Complex *out (retval.fortran_vec ()); | |
| 1238 | |
| 4773 | 1239 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1240 |
| 1241 return retval; | |
| 1242 } | |
| 1243 | |
| 1244 ComplexMatrix | |
| 1245 ComplexMatrix::ifourier (void) const | |
| 1246 { | |
| 1247 size_t nr = rows (); | |
| 1248 size_t nc = cols (); | |
| 1249 | |
| 1250 ComplexMatrix retval (nr, nc); | |
| 1251 | |
| 1252 size_t npts, nsamples; | |
| 1253 | |
| 1254 if (nr == 1 || nc == 1) | |
| 1255 { | |
| 1256 npts = nr > nc ? nr : nc; | |
| 1257 nsamples = 1; | |
| 1258 } | |
| 1259 else | |
| 1260 { | |
| 1261 npts = nr; | |
| 1262 nsamples = nc; | |
| 1263 } | |
| 1264 | |
| 1265 const Complex *in (data ()); | |
| 1266 Complex *out (retval.fortran_vec ()); | |
| 1267 | |
| 4773 | 1268 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1269 |
| 1270 return retval; | |
| 1271 } | |
| 1272 | |
| 1273 ComplexMatrix | |
| 1274 ComplexMatrix::fourier2d (void) const | |
| 1275 { | |
| 4773 | 1276 dim_vector dv(rows (), cols ()); |
| 1277 | |
| 1278 ComplexMatrix retval (rows (), cols ()); | |
| 1279 const Complex *in (data ()); | |
| 1280 Complex *out (retval.fortran_vec ()); | |
| 1281 | |
| 1282 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1283 |
| 1284 return retval; | |
| 1285 } | |
| 1286 | |
| 1287 ComplexMatrix | |
| 1288 ComplexMatrix::ifourier2d (void) const | |
| 1289 { | |
| 4773 | 1290 dim_vector dv(rows (), cols ()); |
| 1291 | |
| 1292 ComplexMatrix retval (rows (), cols ()); | |
| 1293 const Complex *in (data ()); | |
| 1294 Complex *out (retval.fortran_vec ()); | |
| 1295 | |
| 1296 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1297 |
| 1298 return retval; | |
| 1299 } | |
| 1300 | |
| 1301 #else | |
| 1302 | |
|
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1303 extern "C" |
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1304 { |
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1305 // Note that the original complex fft routines were not written for |
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1306 // double complex arguments. They have been modified by adding an |
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1307 // implicit double precision (a-h,o-z) statement at the beginning of |
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1308 // each subroutine. |
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1309 |
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1310 F77_RET_T |
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1311 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1312 |
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1313 F77_RET_T |
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1314 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1315 |
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1316 F77_RET_T |
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1317 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1318 } |
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1319 |
| 740 | 1320 ComplexMatrix |
| 458 | 1321 ComplexMatrix::fourier (void) const |
| 1322 { | |
| 1948 | 1323 ComplexMatrix retval; |
| 1324 | |
| 5275 | 1325 octave_idx_type nr = rows (); |
| 1326 octave_idx_type nc = cols (); | |
| 1327 | |
| 1328 octave_idx_type npts, nsamples; | |
| 1948 | 1329 |
| 458 | 1330 if (nr == 1 || nc == 1) |
| 1331 { | |
| 1332 npts = nr > nc ? nr : nc; | |
| 1333 nsamples = 1; | |
| 1334 } | |
| 1335 else | |
| 1336 { | |
| 1337 npts = nr; | |
| 1338 nsamples = nc; | |
| 1339 } | |
| 1340 | |
| 5275 | 1341 octave_idx_type nn = 4*npts+15; |
| 1948 | 1342 |
| 1343 Array<Complex> wsave (nn); | |
| 1344 Complex *pwsave = wsave.fortran_vec (); | |
| 1345 | |
| 1346 retval = *this; | |
| 1347 Complex *tmp_data = retval.fortran_vec (); | |
| 1348 | |
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1349 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1350 |
| 5275 | 1351 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1352 { |
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1353 octave_quit (); |
| 4153 | 1354 |
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1355 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1356 } |
| 1948 | 1357 |
| 1358 return retval; | |
| 458 | 1359 } |
| 1360 | |
| 1361 ComplexMatrix | |
| 1362 ComplexMatrix::ifourier (void) const | |
| 1363 { | |
| 1948 | 1364 ComplexMatrix retval; |
| 1365 | |
| 5275 | 1366 octave_idx_type nr = rows (); |
| 1367 octave_idx_type nc = cols (); | |
| 1368 | |
| 1369 octave_idx_type npts, nsamples; | |
| 1948 | 1370 |
| 458 | 1371 if (nr == 1 || nc == 1) |
| 1372 { | |
| 1373 npts = nr > nc ? nr : nc; | |
| 1374 nsamples = 1; | |
| 1375 } | |
| 1376 else | |
| 1377 { | |
| 1378 npts = nr; | |
| 1379 nsamples = nc; | |
| 1380 } | |
| 1381 | |
| 5275 | 1382 octave_idx_type nn = 4*npts+15; |
| 1948 | 1383 |
| 1384 Array<Complex> wsave (nn); | |
| 1385 Complex *pwsave = wsave.fortran_vec (); | |
| 1386 | |
| 1387 retval = *this; | |
| 1388 Complex *tmp_data = retval.fortran_vec (); | |
| 1389 | |
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1390 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1391 |
| 5275 | 1392 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1393 { |
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1394 octave_quit (); |
| 4153 | 1395 |
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1396 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1397 } |
| 458 | 1398 |
| 5275 | 1399 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1400 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1401 |
| 1948 | 1402 return retval; |
| 458 | 1403 } |
| 1404 | |
| 677 | 1405 ComplexMatrix |
| 1406 ComplexMatrix::fourier2d (void) const | |
| 1407 { | |
| 1948 | 1408 ComplexMatrix retval; |
| 1409 | |
| 5275 | 1410 octave_idx_type nr = rows (); |
| 1411 octave_idx_type nc = cols (); | |
| 1412 | |
| 1413 octave_idx_type npts, nsamples; | |
| 1948 | 1414 |
| 677 | 1415 if (nr == 1 || nc == 1) |
| 1416 { | |
| 1417 npts = nr > nc ? nr : nc; | |
| 1418 nsamples = 1; | |
| 1419 } | |
| 1420 else | |
| 1421 { | |
| 1422 npts = nr; | |
| 1423 nsamples = nc; | |
| 1424 } | |
| 1425 | |
| 5275 | 1426 octave_idx_type nn = 4*npts+15; |
| 1948 | 1427 |
| 1428 Array<Complex> wsave (nn); | |
| 1429 Complex *pwsave = wsave.fortran_vec (); | |
| 1430 | |
| 1431 retval = *this; | |
| 1432 Complex *tmp_data = retval.fortran_vec (); | |
| 1433 | |
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1434 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1435 |
| 5275 | 1436 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1437 { |
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1438 octave_quit (); |
| 4153 | 1439 |
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1440 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1441 } |
| 677 | 1442 |
| 1443 npts = nc; | |
| 1444 nsamples = nr; | |
| 1445 nn = 4*npts+15; | |
| 1948 | 1446 |
| 1447 wsave.resize (nn); | |
| 1448 pwsave = wsave.fortran_vec (); | |
| 1449 | |
| 4773 | 1450 Array<Complex> tmp (npts); |
| 1451 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1452 |
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1453 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1454 |
| 5275 | 1455 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1456 { |
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1457 octave_quit (); |
| 4153 | 1458 |
| 5275 | 1459 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1460 prow[i] = tmp_data[i*nr + j]; |
| 1461 | |
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1462 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1463 |
| 5275 | 1464 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1465 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1466 } |
| 1467 | |
| 1948 | 1468 return retval; |
| 677 | 1469 } |
| 1470 | |
| 1471 ComplexMatrix | |
| 1472 ComplexMatrix::ifourier2d (void) const | |
| 1473 { | |
| 1948 | 1474 ComplexMatrix retval; |
| 1475 | |
| 5275 | 1476 octave_idx_type nr = rows (); |
| 1477 octave_idx_type nc = cols (); | |
| 1478 | |
| 1479 octave_idx_type npts, nsamples; | |
| 1948 | 1480 |
| 677 | 1481 if (nr == 1 || nc == 1) |
| 1482 { | |
| 1483 npts = nr > nc ? nr : nc; | |
| 1484 nsamples = 1; | |
| 1485 } | |
| 1486 else | |
| 1487 { | |
| 1488 npts = nr; | |
| 1489 nsamples = nc; | |
| 1490 } | |
| 1491 | |
| 5275 | 1492 octave_idx_type nn = 4*npts+15; |
| 1948 | 1493 |
| 1494 Array<Complex> wsave (nn); | |
| 1495 Complex *pwsave = wsave.fortran_vec (); | |
| 1496 | |
| 1497 retval = *this; | |
| 1498 Complex *tmp_data = retval.fortran_vec (); | |
| 1499 | |
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1500 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1501 |
| 5275 | 1502 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1503 { |
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1504 octave_quit (); |
| 4153 | 1505 |
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1506 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1507 } |
| 677 | 1508 |
| 5275 | 1509 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1510 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1511 |
| 1512 npts = nc; | |
| 1513 nsamples = nr; | |
| 1514 nn = 4*npts+15; | |
| 1948 | 1515 |
| 1516 wsave.resize (nn); | |
| 1517 pwsave = wsave.fortran_vec (); | |
| 1518 | |
| 4773 | 1519 Array<Complex> tmp (npts); |
| 1520 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1521 |
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1522 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1523 |
| 5275 | 1524 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1525 { |
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1526 octave_quit (); |
| 4153 | 1527 |
| 5275 | 1528 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1529 prow[i] = tmp_data[i*nr + j]; |
| 1530 | |
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1531 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1532 |
| 5275 | 1533 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1534 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1535 } |
| 1536 | |
| 1948 | 1537 return retval; |
| 677 | 1538 } |
| 1539 | |
| 3827 | 1540 #endif |
| 1541 | |
| 458 | 1542 ComplexDET |
| 1543 ComplexMatrix::determinant (void) const | |
| 1544 { | |
| 5275 | 1545 octave_idx_type info; |
| 7788 | 1546 double rcon; |
| 1547 return determinant (info, rcon, 0); | |
| 458 | 1548 } |
| 1549 | |
| 1550 ComplexDET | |
| 5275 | 1551 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1552 { |
| 7788 | 1553 double rcon; |
| 1554 return determinant (info, rcon, 0); | |
| 458 | 1555 } |
| 1556 | |
| 1557 ComplexDET | |
| 7788 | 1558 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1559 { |
|
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1560 MatrixType mattype (*this); |
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1561 return determinant (mattype, info, rcon, calc_cond); |
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1562 } |
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1563 |
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1564 ComplexDET |
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1565 ComplexMatrix::determinant (MatrixType& mattype, |
| 8806 | 1566 octave_idx_type& info, double& rcon, |
| 1567 int calc_cond) const | |
|
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1568 { |
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1569 ComplexDET retval (1.0); |
| 458 | 1570 |
| 5275 | 1571 octave_idx_type nr = rows (); |
| 1572 octave_idx_type nc = cols (); | |
| 458 | 1573 |
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1574 if (nr != nc) |
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1575 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1576 else |
| 1577 { | |
| 8806 | 1578 volatile int typ = mattype.type (); |
|
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1579 |
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1580 if (typ == MatrixType::Unknown) |
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1581 typ = mattype.type (*this); |
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1582 |
|
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1583 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1584 { |
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1585 for (octave_idx_type i = 0; i < nc; i++) |
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1586 retval *= elem (i,i); |
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1587 } |
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1588 else if (typ == MatrixType::Hermitian) |
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1589 { |
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1590 ComplexMatrix atmp = *this; |
|
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|
1591 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1592 |
|
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|
1593 info = 0; |
|
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|
1594 double anorm = 0; |
|
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|
1595 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1596 |
|
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|
1597 |
|
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|
1598 char job = 'L'; |
|
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|
1599 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1600 tmp_data, nr, info |
|
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|
1601 F77_CHAR_ARG_LEN (1))); |
|
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|
1602 |
|
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1603 if (info != 0) |
|
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|
1604 { |
|
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|
1605 rcon = 0.0; |
|
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|
1606 mattype.mark_as_unsymmetric (); |
|
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1607 typ = MatrixType::Full; |
|
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1608 } |
|
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|
1609 else |
|
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|
1610 { |
|
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|
1611 Array<Complex> z (2 * nc); |
|
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1612 Complex *pz = z.fortran_vec (); |
|
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1613 Array<double> rz (nc); |
|
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1614 double *prz = rz.fortran_vec (); |
|
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|
1615 |
|
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|
1616 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1617 nr, tmp_data, nr, anorm, |
|
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1618 rcon, pz, prz, info |
|
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|
1619 F77_CHAR_ARG_LEN (1))); |
|
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|
1620 |
|
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1621 if (info != 0) |
|
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|
1622 rcon = 0.0; |
|
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|
1623 |
|
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|
1624 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1625 retval *= atmp (i,i); |
|
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|
1626 |
|
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|
1627 retval = retval.square (); |
|
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|
1628 } |
|
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|
1629 } |
|
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|
1630 else if (typ != MatrixType::Full) |
|
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1631 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1632 |
|
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1633 if (typ == MatrixType::Full) |
|
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|
1634 { |
|
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|
1635 Array<octave_idx_type> ipvt (nr); |
|
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|
1636 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1637 |
|
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|
1638 ComplexMatrix atmp = *this; |
|
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1639 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1640 |
|
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|
1641 info = 0; |
|
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|
1642 |
|
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|
1643 // Calculate the norm of the matrix, for later use. |
|
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|
1644 double anorm = 0; |
|
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|
1645 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1646 |
|
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|
1647 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1648 |
|
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|
1649 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
1650 rcon = 0.0; |
|
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|
1651 if (info != 0) |
|
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|
1652 { |
|
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|
1653 info = -1; |
|
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|
1654 retval = ComplexDET (); |
|
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|
1655 } |
|
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|
1656 else |
|
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|
1657 { |
|
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|
1658 if (calc_cond) |
|
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|
1659 { |
|
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|
1660 // Now calc the condition number for non-singular matrix. |
|
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|
1661 char job = '1'; |
|
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|
1662 Array<Complex> z (2 * nc); |
|
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1663 Complex *pz = z.fortran_vec (); |
|
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|
1664 Array<double> rz (2 * nc); |
|
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|
1665 double *prz = rz.fortran_vec (); |
|
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|
1666 |
|
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|
1667 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1668 nc, tmp_data, nr, anorm, |
|
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|
1669 rcon, pz, prz, info |
|
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|
1670 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1671 } |
|
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|
1672 |
|
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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 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1681 { |
|
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|
1682 Complex c = atmp(i,i); |
|
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|
1683 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1684 } |
|
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|
1685 } |
|
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|
1686 } |
|
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|
1687 } |
| 458 | 1688 } |
|
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|
1689 |
| 458 | 1690 return retval; |
| 1691 } | |
| 1692 | |
| 7788 | 1693 double |
| 1694 ComplexMatrix::rcond (void) const | |
| 1695 { | |
| 1696 MatrixType mattype (*this); | |
| 1697 return rcond (mattype); | |
| 1698 } | |
| 1699 | |
| 1700 double | |
| 1701 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1702 { | |
| 1703 double rcon; | |
| 1704 octave_idx_type nr = rows (); | |
| 1705 octave_idx_type nc = cols (); | |
| 1706 | |
| 1707 if (nr != nc) | |
| 1708 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1709 else if (nr == 0 || nc == 0) | |
| 1710 rcon = octave_Inf; | |
| 1711 else | |
| 1712 { | |
| 1713 int typ = mattype.type (); | |
| 1714 | |
| 1715 if (typ == MatrixType::Unknown) | |
| 1716 typ = mattype.type (*this); | |
| 1717 | |
| 1718 // Only calculate the condition number for LU/Cholesky | |
| 1719 if (typ == MatrixType::Upper) | |
| 1720 { | |
| 1721 const Complex *tmp_data = fortran_vec (); | |
| 1722 octave_idx_type info = 0; | |
| 1723 char norm = '1'; | |
| 1724 char uplo = 'U'; | |
| 1725 char dia = 'N'; | |
| 1726 | |
| 1727 Array<Complex> z (2 * nc); | |
| 1728 Complex *pz = z.fortran_vec (); | |
| 1729 Array<double> rz (nc); | |
| 1730 double *prz = rz.fortran_vec (); | |
| 1731 | |
| 1732 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1733 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1734 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1735 nr, tmp_data, nr, rcon, | |
| 1736 pz, prz, info | |
| 1737 F77_CHAR_ARG_LEN (1) | |
| 1738 F77_CHAR_ARG_LEN (1) | |
| 1739 F77_CHAR_ARG_LEN (1))); | |
| 1740 | |
| 1741 if (info != 0) | |
| 1742 rcon = 0; | |
| 1743 } | |
| 1744 else if (typ == MatrixType::Permuted_Upper) | |
| 1745 (*current_liboctave_error_handler) | |
| 1746 ("permuted triangular matrix not implemented"); | |
| 1747 else if (typ == MatrixType::Lower) | |
| 1748 { | |
| 1749 const Complex *tmp_data = fortran_vec (); | |
| 1750 octave_idx_type info = 0; | |
| 1751 char norm = '1'; | |
| 1752 char uplo = 'L'; | |
| 1753 char dia = 'N'; | |
| 1754 | |
| 1755 Array<Complex> z (2 * nc); | |
| 1756 Complex *pz = z.fortran_vec (); | |
| 1757 Array<double> rz (nc); | |
| 1758 double *prz = rz.fortran_vec (); | |
| 1759 | |
| 1760 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1761 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1762 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1763 nr, tmp_data, nr, rcon, | |
| 1764 pz, prz, info | |
| 1765 F77_CHAR_ARG_LEN (1) | |
| 1766 F77_CHAR_ARG_LEN (1) | |
| 1767 F77_CHAR_ARG_LEN (1))); | |
| 1768 | |
| 1769 if (info != 0) | |
| 1770 rcon = 0.0; | |
| 1771 } | |
| 1772 else if (typ == MatrixType::Permuted_Lower) | |
| 1773 (*current_liboctave_error_handler) | |
| 1774 ("permuted triangular matrix not implemented"); | |
| 1775 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1776 { | |
| 1777 double anorm = -1.0; | |
| 1778 ComplexMatrix atmp = *this; | |
| 1779 Complex *tmp_data = atmp.fortran_vec (); | |
| 1780 | |
| 1781 if (typ == MatrixType::Hermitian) | |
| 1782 { | |
| 1783 octave_idx_type info = 0; | |
| 1784 char job = 'L'; | |
| 1785 anorm = atmp.abs().sum(). | |
| 1786 row(static_cast<octave_idx_type>(0)).max(); | |
| 1787 | |
| 1788 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1789 tmp_data, nr, info | |
| 1790 F77_CHAR_ARG_LEN (1))); | |
| 1791 | |
| 1792 if (info != 0) | |
| 1793 { | |
| 1794 rcon = 0.0; | |
| 1795 | |
| 1796 mattype.mark_as_unsymmetric (); | |
| 1797 typ = MatrixType::Full; | |
| 1798 } | |
| 1799 else | |
| 1800 { | |
| 1801 Array<Complex> z (2 * nc); | |
| 1802 Complex *pz = z.fortran_vec (); | |
| 1803 Array<double> rz (nc); | |
| 1804 double *prz = rz.fortran_vec (); | |
| 1805 | |
| 1806 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1807 nr, tmp_data, nr, anorm, | |
| 1808 rcon, pz, prz, info | |
| 1809 F77_CHAR_ARG_LEN (1))); | |
| 1810 | |
| 1811 if (info != 0) | |
| 1812 rcon = 0.0; | |
| 1813 } | |
| 1814 } | |
| 1815 | |
| 1816 | |
| 1817 if (typ == MatrixType::Full) | |
| 1818 { | |
| 1819 octave_idx_type info = 0; | |
| 1820 | |
| 1821 Array<octave_idx_type> ipvt (nr); | |
| 1822 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1823 | |
| 1824 if(anorm < 0.) | |
| 1825 anorm = atmp.abs().sum(). | |
| 1826 row(static_cast<octave_idx_type>(0)).max(); | |
| 1827 | |
| 1828 Array<Complex> z (2 * nc); | |
| 1829 Complex *pz = z.fortran_vec (); | |
| 1830 Array<double> rz (2 * nc); | |
| 1831 double *prz = rz.fortran_vec (); | |
| 1832 | |
| 1833 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1834 | |
| 1835 if (info != 0) | |
| 1836 { | |
| 1837 rcon = 0.0; | |
| 1838 mattype.mark_as_rectangular (); | |
| 1839 } | |
| 1840 else | |
| 1841 { | |
| 1842 char job = '1'; | |
| 1843 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1844 nc, tmp_data, nr, anorm, | |
| 1845 rcon, pz, prz, info | |
| 1846 F77_CHAR_ARG_LEN (1))); | |
| 1847 | |
| 1848 if (info != 0) | |
| 1849 rcon = 0.0; | |
| 1850 } | |
| 1851 } | |
| 1852 } | |
| 1853 else | |
| 1854 rcon = 0.0; | |
| 1855 } | |
| 1856 | |
| 1857 return rcon; | |
| 1858 } | |
| 1859 | |
| 458 | 1860 ComplexMatrix |
| 5785 | 1861 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1862 octave_idx_type& info, double& rcon, |
| 5785 | 1863 solve_singularity_handler sing_handler, |
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|
1864 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1865 { |
| 1866 ComplexMatrix retval; | |
| 1867 | |
| 1868 octave_idx_type nr = rows (); | |
| 1869 octave_idx_type nc = cols (); | |
| 1870 | |
| 6924 | 1871 if (nr != b.rows ()) |
| 5785 | 1872 (*current_liboctave_error_handler) |
| 1873 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1874 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1875 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1876 else |
| 1877 { | |
| 1878 volatile int typ = mattype.type (); | |
| 1879 | |
| 1880 if (typ == MatrixType::Permuted_Upper || | |
| 1881 typ == MatrixType::Upper) | |
| 1882 { | |
| 1883 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1884 rcon = 1.; |
| 5785 | 1885 info = 0; |
| 1886 | |
| 1887 if (typ == MatrixType::Permuted_Upper) | |
| 1888 { | |
| 1889 (*current_liboctave_error_handler) | |
| 6390 | 1890 ("permuted triangular matrix not implemented"); |
| 5785 | 1891 } |
| 1892 else | |
| 1893 { | |
| 1894 const Complex *tmp_data = fortran_vec (); | |
| 1895 | |
| 1896 if (calc_cond) | |
| 1897 { | |
| 1898 char norm = '1'; | |
| 1899 char uplo = 'U'; | |
| 1900 char dia = 'N'; | |
| 1901 | |
| 1902 Array<Complex> z (2 * nc); | |
| 1903 Complex *pz = z.fortran_vec (); | |
| 1904 Array<double> rz (nc); | |
| 1905 double *prz = rz.fortran_vec (); | |
| 1906 | |
| 1907 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1908 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1909 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1910 nr, tmp_data, nr, rcon, |
| 5785 | 1911 pz, prz, info |
| 1912 F77_CHAR_ARG_LEN (1) | |
| 1913 F77_CHAR_ARG_LEN (1) | |
| 1914 F77_CHAR_ARG_LEN (1))); | |
| 1915 | |
| 1916 if (info != 0) | |
| 1917 info = -2; | |
| 1918 | |
| 7788 | 1919 volatile double rcond_plus_one = rcon + 1.0; |
| 1920 | |
| 1921 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1922 { |
| 1923 info = -2; | |
| 1924 | |
| 1925 if (sing_handler) | |
| 7788 | 1926 sing_handler (rcon); |
| 5785 | 1927 else |
| 1928 (*current_liboctave_error_handler) | |
| 1929 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1930 rcon); |
| 5785 | 1931 } |
| 1932 } | |
| 1933 | |
| 1934 if (info == 0) | |
| 1935 { | |
| 1936 retval = b; | |
| 1937 Complex *result = retval.fortran_vec (); | |
| 1938 | |
| 1939 char uplo = 'U'; | |
|
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diff
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|
1940 char trans = get_blas_char (transt); |
| 5785 | 1941 char dia = 'N'; |
| 1942 | |
| 1943 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1944 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1945 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1946 nr, b_nc, tmp_data, nr, | |
| 1947 result, nr, info | |
| 1948 F77_CHAR_ARG_LEN (1) | |
| 1949 F77_CHAR_ARG_LEN (1) | |
| 1950 F77_CHAR_ARG_LEN (1))); | |
| 1951 } | |
| 1952 } | |
| 1953 } | |
| 1954 else | |
| 1955 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1956 } | |
| 1957 | |
| 1958 return retval; | |
| 1959 } | |
| 1960 | |
| 1961 ComplexMatrix | |
| 1962 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1963 octave_idx_type& info, double& rcon, |
| 5785 | 1964 solve_singularity_handler sing_handler, |
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|
1965 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1966 { |
| 1967 ComplexMatrix retval; | |
| 1968 | |
| 1969 octave_idx_type nr = rows (); | |
| 1970 octave_idx_type nc = cols (); | |
| 1971 | |
| 6924 | 1972 if (nr != b.rows ()) |
| 5785 | 1973 (*current_liboctave_error_handler) |
| 1974 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1975 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1976 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1977 else |
| 1978 { | |
| 1979 volatile int typ = mattype.type (); | |
| 1980 | |
| 1981 if (typ == MatrixType::Permuted_Lower || | |
| 1982 typ == MatrixType::Lower) | |
| 1983 { | |
| 1984 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1985 rcon = 1.; |
| 5785 | 1986 info = 0; |
| 1987 | |
| 1988 if (typ == MatrixType::Permuted_Lower) | |
| 1989 { | |
| 1990 (*current_liboctave_error_handler) | |
| 6390 | 1991 ("permuted triangular matrix not implemented"); |
| 5785 | 1992 } |
| 1993 else | |
| 1994 { | |
| 1995 const Complex *tmp_data = fortran_vec (); | |
| 1996 | |
| 1997 if (calc_cond) | |
| 1998 { | |
| 1999 char norm = '1'; | |
| 2000 char uplo = 'L'; | |
| 2001 char dia = 'N'; | |
| 2002 | |
| 2003 Array<Complex> z (2 * nc); | |
| 2004 Complex *pz = z.fortran_vec (); | |
| 2005 Array<double> rz (nc); | |
| 2006 double *prz = rz.fortran_vec (); | |
| 2007 | |
| 2008 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2009 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2010 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2011 nr, tmp_data, nr, rcon, |
| 5785 | 2012 pz, prz, info |
| 2013 F77_CHAR_ARG_LEN (1) | |
| 2014 F77_CHAR_ARG_LEN (1) | |
| 2015 F77_CHAR_ARG_LEN (1))); | |
| 2016 | |
| 2017 if (info != 0) | |
| 2018 info = -2; | |
| 2019 | |
| 7788 | 2020 volatile double rcond_plus_one = rcon + 1.0; |
| 2021 | |
| 2022 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2023 { |
| 2024 info = -2; | |
| 2025 | |
| 2026 if (sing_handler) | |
| 7788 | 2027 sing_handler (rcon); |
| 5785 | 2028 else |
| 2029 (*current_liboctave_error_handler) | |
| 2030 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2031 rcon); |
| 5785 | 2032 } |
| 2033 } | |
| 2034 | |
| 2035 if (info == 0) | |
| 2036 { | |
| 2037 retval = b; | |
| 2038 Complex *result = retval.fortran_vec (); | |
| 2039 | |
| 2040 char uplo = 'L'; | |
|
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diff
changeset
|
2041 char trans = get_blas_char (transt); |
| 5785 | 2042 char dia = 'N'; |
| 2043 | |
| 2044 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2045 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2046 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2047 nr, b_nc, tmp_data, nr, | |
| 2048 result, nr, info | |
| 2049 F77_CHAR_ARG_LEN (1) | |
| 2050 F77_CHAR_ARG_LEN (1) | |
| 2051 F77_CHAR_ARG_LEN (1))); | |
| 2052 } | |
| 2053 } | |
| 2054 } | |
| 2055 else | |
| 2056 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2057 } | |
| 2058 | |
| 2059 return retval; | |
| 2060 } | |
| 2061 | |
| 2062 ComplexMatrix | |
| 2063 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2064 octave_idx_type& info, double& rcon, |
| 5785 | 2065 solve_singularity_handler sing_handler, |
| 2066 bool calc_cond) const | |
| 2067 { | |
| 2068 ComplexMatrix retval; | |
| 2069 | |
| 2070 octave_idx_type nr = rows (); | |
| 2071 octave_idx_type nc = cols (); | |
| 2072 | |
| 6924 | 2073 |
| 2074 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2075 (*current_liboctave_error_handler) |
| 6924 | 2076 ("matrix dimension mismatch solution of linear equations"); |
| 2077 else if (nr == 0 || b.cols () == 0) | |
| 2078 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2079 else |
| 2080 { | |
| 2081 volatile int typ = mattype.type (); | |
| 2082 | |
| 2083 // Calculate the norm of the matrix, for later use. | |
| 2084 double anorm = -1.; | |
| 2085 | |
| 2086 if (typ == MatrixType::Hermitian) | |
| 2087 { | |
| 2088 info = 0; | |
| 2089 char job = 'L'; | |
| 2090 ComplexMatrix atmp = *this; | |
| 2091 Complex *tmp_data = atmp.fortran_vec (); | |
| 2092 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2093 | |
| 2094 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2095 tmp_data, nr, info | |
| 2096 F77_CHAR_ARG_LEN (1))); | |
| 2097 | |
|
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|
2098 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2099 rcon = 0.0; |
|
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|
2100 if (info != 0) |
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|
2101 { |
|
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|
2102 info = -2; |
|
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|
2103 |
|
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|
2104 mattype.mark_as_unsymmetric (); |
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|
2105 typ = MatrixType::Full; |
|
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|
2106 } |
|
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|
2107 else |
| 5785 | 2108 { |
|
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|
2109 if (calc_cond) |
| 5785 | 2110 { |
|
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|
2111 Array<Complex> z (2 * nc); |
|
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|
2112 Complex *pz = z.fortran_vec (); |
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|
2113 Array<double> rz (nc); |
|
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|
2114 double *prz = rz.fortran_vec (); |
|
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|
2115 |
|
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|
2116 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2117 nr, tmp_data, nr, anorm, |
| 7788 | 2118 rcon, pz, prz, info |
|
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|
2119 F77_CHAR_ARG_LEN (1))); |
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|
2120 |
|
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|
2121 if (info != 0) |
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|
2122 info = -2; |
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|
2123 |
| 7788 | 2124 volatile double rcond_plus_one = rcon + 1.0; |
| 2125 | |
| 2126 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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|
2127 { |
|
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|
2128 info = -2; |
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|
2129 |
|
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|
2130 if (sing_handler) |
| 7788 | 2131 sing_handler (rcon); |
|
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|
2132 else |
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|
2133 (*current_liboctave_error_handler) |
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|
2134 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2135 rcon); |
|
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|
2136 } |
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2137 } |
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|
2138 |
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|
2139 if (info == 0) |
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|
2140 { |
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|
2141 retval = b; |
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|
2142 Complex *result = retval.fortran_vec (); |
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2143 |
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|
2144 octave_idx_type b_nc = b.cols (); |
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|
2145 |
|
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|
2146 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2147 nr, b_nc, tmp_data, nr, |
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|
2148 result, b.rows(), info |
|
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|
2149 F77_CHAR_ARG_LEN (1))); |
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|
2150 } |
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|
2151 else |
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|
2152 { |
| 5785 | 2153 mattype.mark_as_unsymmetric (); |
| 2154 typ = MatrixType::Full; | |
| 2155 } | |
| 2156 } | |
| 2157 } | |
| 2158 | |
| 2159 if (typ == MatrixType::Full) | |
| 2160 { | |
| 2161 info = 0; | |
| 2162 | |
| 2163 Array<octave_idx_type> ipvt (nr); | |
| 2164 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2165 | |
| 2166 ComplexMatrix atmp = *this; | |
| 2167 Complex *tmp_data = atmp.fortran_vec (); | |
| 2168 | |
| 2169 Array<Complex> z (2 * nc); | |
| 2170 Complex *pz = z.fortran_vec (); | |
| 2171 Array<double> rz (2 * nc); | |
| 2172 double *prz = rz.fortran_vec (); | |
| 2173 | |
| 2174 // Calculate the norm of the matrix, for later use. | |
| 2175 if (anorm < 0.) | |
| 2176 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2177 | |
| 2178 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2179 | |
|
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diff
changeset
|
2180 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2181 rcon = 0.0; |
|
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|
2182 if (info != 0) |
|
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diff
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|
2183 { |
|
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parents:
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diff
changeset
|
2184 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2185 |
|
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diff
changeset
|
2186 if (sing_handler) |
| 7788 | 2187 sing_handler (rcon); |
|
7482
29980c6b8604
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diff
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|
2188 else |
|
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diff
changeset
|
2189 (*current_liboctave_error_handler) |
|
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|
2190 ("matrix singular to machine precision"); |
|
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diff
changeset
|
2191 |
|
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diff
changeset
|
2192 mattype.mark_as_rectangular (); |
|
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diff
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|
2193 } |
|
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|
2194 else |
| 5785 | 2195 { |
|
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diff
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|
2196 if (calc_cond) |
| 5785 | 2197 { |
|
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diff
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|
2198 // Now calculate the condition number for |
|
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|
2199 // non-singular matrix. |
|
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don't check f77_exception_encountered
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|
2200 char job = '1'; |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2201 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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diff
changeset
|
2202 nc, tmp_data, nr, anorm, |
| 7788 | 2203 rcon, pz, prz, info |
|
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diff
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|
2204 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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changeset
|
2205 |
|
29980c6b8604
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changeset
|
2206 if (info != 0) |
|
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diff
changeset
|
2207 info = -2; |
|
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diff
changeset
|
2208 |
| 7788 | 2209 volatile double rcond_plus_one = rcon + 1.0; |
| 2210 | |
| 2211 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2212 { |
|
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29980c6b8604
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diff
changeset
|
2213 info = -2; |
|
29980c6b8604
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changeset
|
2214 |
|
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diff
changeset
|
2215 if (sing_handler) |
| 7788 | 2216 sing_handler (rcon); |
|
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|
2217 else |
|
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diff
changeset
|
2218 (*current_liboctave_error_handler) |
|
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diff
changeset
|
2219 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2220 rcon); |
| 5785 | 2221 } |
| 2222 } | |
|
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changeset
|
2223 |
|
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changeset
|
2224 if (info == 0) |
|
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don't check f77_exception_encountered
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diff
changeset
|
2225 { |
|
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diff
changeset
|
2226 retval = b; |
|
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diff
changeset
|
2227 Complex *result = retval.fortran_vec (); |
|
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diff
changeset
|
2228 |
|
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diff
changeset
|
2229 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
2230 |
|
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changeset
|
2231 char job = 'N'; |
|
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don't check f77_exception_encountered
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diff
changeset
|
2232 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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diff
changeset
|
2233 nr, b_nc, tmp_data, nr, |
|
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diff
changeset
|
2234 pipvt, result, b.rows(), info |
|
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diff
changeset
|
2235 F77_CHAR_ARG_LEN (1))); |
|
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changeset
|
2236 } |
|
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diff
changeset
|
2237 else |
|
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diff
changeset
|
2238 mattype.mark_as_rectangular (); |
| 5785 | 2239 } |
| 2240 } | |
| 2241 } | |
| 2242 | |
| 2243 return retval; | |
| 2244 } | |
| 2245 | |
| 2246 ComplexMatrix | |
| 2247 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2248 { | |
| 2249 octave_idx_type info; | |
| 7788 | 2250 double rcon; |
| 2251 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2252 } |
| 2253 | |
| 2254 ComplexMatrix | |
| 2255 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2256 octave_idx_type& info) const | |
| 2257 { | |
| 7788 | 2258 double rcon; |
| 2259 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2260 } |
| 2261 | |
| 2262 ComplexMatrix | |
| 2263 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2264 double& rcon) const |
| 5785 | 2265 { |
| 7788 | 2266 return solve (typ, b, info, rcon, 0); |
| 5785 | 2267 } |
| 2268 | |
| 2269 ComplexMatrix | |
| 2270 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2271 double& rcon, solve_singularity_handler sing_handler, |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2272 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2273 { |
| 2274 ComplexMatrix tmp (b); | |
|
9661
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Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
2275 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
| 5785 | 2276 } |
| 2277 | |
| 2278 ComplexMatrix | |
| 2279 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2280 { | |
| 2281 octave_idx_type info; | |
| 7788 | 2282 double rcon; |
| 2283 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2284 } |
| 2285 | |
| 2286 ComplexMatrix | |
| 2287 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2288 octave_idx_type& info) const | |
| 2289 { | |
| 7788 | 2290 double rcon; |
| 2291 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2292 } |
| 2293 | |
| 2294 ComplexMatrix | |
| 2295 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2296 octave_idx_type& info, double& rcon) const |
| 5785 | 2297 { |
| 7788 | 2298 return solve (typ, b, info, rcon, 0); |
| 5785 | 2299 } |
| 2300 | |
| 2301 ComplexMatrix | |
| 2302 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2303 octave_idx_type& info, double& rcon, |
| 5785 | 2304 solve_singularity_handler sing_handler, |
|
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2305 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2306 { |
| 2307 ComplexMatrix retval; | |
| 2308 int typ = mattype.type (); | |
| 2309 | |
| 2310 if (typ == MatrixType::Unknown) | |
| 2311 typ = mattype.type (*this); | |
| 2312 | |
| 2313 // Only calculate the condition number for LU/Cholesky | |
| 2314 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
|
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2315 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 2316 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
|
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diff
changeset
|
2317 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
|
afcf852256d2
optimize / and '\ for triangular matrices
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diff
changeset
|
2318 else if (transt == blas_trans) |
|
afcf852256d2
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diff
changeset
|
2319 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
|
afcf852256d2
optimize / and '\ for triangular matrices
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diff
changeset
|
2320 else if (transt == blas_conj_trans) |
|
afcf852256d2
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diff
changeset
|
2321 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2322 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2323 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2324 else if (typ != MatrixType::Rectangular) |
| 2325 { | |
| 2326 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2327 return ComplexMatrix (); | |
| 2328 } | |
| 2329 | |
| 2330 // Rectangular or one of the above solvers flags a singular matrix | |
| 2331 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2332 { | |
| 2333 octave_idx_type rank; | |
| 7788 | 2334 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2335 } |
| 2336 | |
| 2337 return retval; | |
| 2338 } | |
| 2339 | |
| 2340 ComplexColumnVector | |
| 2341 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2342 { | |
| 2343 octave_idx_type info; | |
| 7788 | 2344 double rcon; |
| 2345 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2346 } |
| 2347 | |
| 2348 ComplexColumnVector | |
| 2349 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2350 octave_idx_type& info) const | |
| 2351 { | |
| 7788 | 2352 double rcon; |
| 2353 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2354 } |
| 2355 | |
| 2356 ComplexColumnVector | |
| 2357 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2358 octave_idx_type& info, double& rcon) const |
| 5785 | 2359 { |
| 7788 | 2360 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2361 } |
| 2362 | |
| 2363 ComplexColumnVector | |
| 2364 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2365 octave_idx_type& info, double& rcon, |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2366 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2367 { |
|
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diff
changeset
|
2368 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 5785 | 2369 } |
| 2370 | |
| 2371 ComplexColumnVector | |
| 2372 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2373 { | |
| 2374 octave_idx_type info; | |
| 7788 | 2375 double rcon; |
| 2376 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2377 } |
| 2378 | |
| 2379 ComplexColumnVector | |
| 2380 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2381 octave_idx_type& info) const | |
| 2382 { | |
| 7788 | 2383 double rcon; |
| 2384 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2385 } |
| 2386 | |
| 2387 ComplexColumnVector | |
| 2388 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2389 octave_idx_type& info, double& rcon) const |
| 5785 | 2390 { |
| 7788 | 2391 return solve (typ, b, info, rcon, 0); |
| 5785 | 2392 } |
| 2393 | |
| 2394 ComplexColumnVector | |
| 2395 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2396 octave_idx_type& info, double& rcon, |
|
9661
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diff
changeset
|
2397 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2398 { |
| 2399 | |
| 2400 ComplexMatrix tmp (b); | |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2401 return solve (typ, tmp, info, rcon, sing_handler, transt).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2402 } |
| 2403 | |
| 2404 ComplexMatrix | |
| 458 | 2405 ComplexMatrix::solve (const Matrix& b) const |
| 2406 { | |
| 5275 | 2407 octave_idx_type info; |
| 7788 | 2408 double rcon; |
| 2409 return solve (b, info, rcon, 0); | |
| 458 | 2410 } |
| 2411 | |
| 2412 ComplexMatrix | |
| 5275 | 2413 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2414 { |
| 7788 | 2415 double rcon; |
| 2416 return solve (b, info, rcon, 0); | |
| 458 | 2417 } |
| 2418 | |
| 2419 ComplexMatrix | |
| 7788 | 2420 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2421 { |
| 7788 | 2422 return solve (b, info, rcon, 0); |
| 3480 | 2423 } |
| 2424 | |
| 2425 ComplexMatrix | |
| 7788 | 2426 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
|
9661
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diff
changeset
|
2427 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2428 { |
| 458 | 2429 ComplexMatrix tmp (b); |
|
9661
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optimize / and '\ for triangular matrices
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diff
changeset
|
2430 return solve (tmp, info, rcon, sing_handler, transt); |
| 458 | 2431 } |
| 2432 | |
| 2433 ComplexMatrix | |
| 2434 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2435 { | |
| 5275 | 2436 octave_idx_type info; |
| 7788 | 2437 double rcon; |
| 2438 return solve (b, info, rcon, 0); | |
| 458 | 2439 } |
| 2440 | |
| 2441 ComplexMatrix | |
| 5275 | 2442 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2443 { |
| 7788 | 2444 double rcon; |
| 2445 return solve (b, info, rcon, 0); | |
| 458 | 2446 } |
| 3480 | 2447 |
| 458 | 2448 ComplexMatrix |
| 7788 | 2449 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2450 { |
| 7788 | 2451 return solve (b, info, rcon, 0); |
| 3480 | 2452 } |
| 2453 | |
| 2454 ComplexMatrix | |
| 7788 | 2455 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
|
9661
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2456 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2457 { |
| 5785 | 2458 MatrixType mattype (*this); |
|
9661
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optimize / and '\ for triangular matrices
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diff
changeset
|
2459 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2460 } |
| 2461 | |
| 2462 ComplexColumnVector | |
| 3585 | 2463 ComplexMatrix::solve (const ColumnVector& b) const |
| 2464 { | |
| 5275 | 2465 octave_idx_type info; |
| 7788 | 2466 double rcon; |
| 2467 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2468 } |
| 2469 | |
| 2470 ComplexColumnVector | |
| 5275 | 2471 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2472 { |
| 7788 | 2473 double rcon; |
| 2474 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2475 } |
| 2476 | |
| 2477 ComplexColumnVector | |
| 5785 | 2478 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2479 double& rcon) const |
| 3585 | 2480 { |
| 7788 | 2481 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2482 } |
| 2483 | |
| 2484 ComplexColumnVector | |
| 5785 | 2485 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2486 double& rcon, |
|
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2487 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3585 | 2488 { |
|
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2489 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 3585 | 2490 } |
| 2491 | |
| 2492 ComplexColumnVector | |
| 458 | 2493 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2494 { | |
| 5275 | 2495 octave_idx_type info; |
| 7788 | 2496 double rcon; |
| 2497 return solve (b, info, rcon, 0); | |
| 458 | 2498 } |
| 2499 | |
| 2500 ComplexColumnVector | |
| 5275 | 2501 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2502 { |
| 7788 | 2503 double rcon; |
| 2504 return solve (b, info, rcon, 0); | |
| 458 | 2505 } |
| 2506 | |
| 2507 ComplexColumnVector | |
| 5275 | 2508 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2509 double& rcon) const |
| 458 | 2510 { |
| 7788 | 2511 return solve (b, info, rcon, 0); |
| 3480 | 2512 } |
| 2513 | |
| 2514 ComplexColumnVector | |
| 5275 | 2515 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2516 double& rcon, |
|
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2517 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2518 { |
| 5785 | 2519 MatrixType mattype (*this); |
|
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2520 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2521 } |
| 2522 | |
| 2523 ComplexMatrix | |
| 3585 | 2524 ComplexMatrix::lssolve (const Matrix& b) const |
| 2525 { | |
| 5275 | 2526 octave_idx_type info; |
| 2527 octave_idx_type rank; | |
| 7788 | 2528 double rcon; |
| 2529 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2530 } |
| 2531 | |
| 2532 ComplexMatrix | |
| 5275 | 2533 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2534 { |
| 5275 | 2535 octave_idx_type rank; |
| 7788 | 2536 double rcon; |
| 2537 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2538 } |
| 2539 | |
| 2540 ComplexMatrix | |
| 7076 | 2541 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2542 octave_idx_type& rank) const | |
| 3585 | 2543 { |
| 7788 | 2544 double rcon; |
| 2545 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2546 } |
| 2547 | |
| 2548 ComplexMatrix | |
| 2549 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2550 octave_idx_type& rank, double& rcon) const |
| 7076 | 2551 { |
| 7788 | 2552 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2553 } |
| 2554 | |
| 2555 ComplexMatrix | |
| 458 | 2556 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2557 { | |
| 5275 | 2558 octave_idx_type info; |
| 2559 octave_idx_type rank; | |
| 7788 | 2560 double rcon; |
| 2561 return lssolve (b, info, rank, rcon); | |
| 458 | 2562 } |
| 2563 | |
| 2564 ComplexMatrix | |
| 5275 | 2565 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2566 { |
| 5275 | 2567 octave_idx_type rank; |
| 7788 | 2568 double rcon; |
| 2569 return lssolve (b, info, rank, rcon); | |
| 458 | 2570 } |
| 2571 | |
| 2572 ComplexMatrix | |
| 7076 | 2573 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2574 octave_idx_type& rank) const | |
| 2575 { | |
| 7788 | 2576 double rcon; |
| 2577 return lssolve (b, info, rank, rcon); | |
| 7076 | 2578 } |
| 2579 | |
| 2580 ComplexMatrix | |
| 2581 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2582 octave_idx_type& rank, double& rcon) const |
| 458 | 2583 { |
| 1948 | 2584 ComplexMatrix retval; |
| 2585 | |
| 5275 | 2586 octave_idx_type nrhs = b.cols (); |
| 2587 | |
| 2588 octave_idx_type m = rows (); | |
| 2589 octave_idx_type n = cols (); | |
| 458 | 2590 |
| 6924 | 2591 if (m != b.rows ()) |
| 1948 | 2592 (*current_liboctave_error_handler) |
| 2593 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2594 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2595 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2596 else |
| 458 | 2597 { |
| 7072 | 2598 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2599 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2600 rcon = -1.0; |
| 7072 | 2601 |
| 2602 if (m != n) | |
| 2603 { | |
| 2604 retval = ComplexMatrix (maxmn, nrhs); | |
| 2605 | |
| 2606 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2607 for (octave_idx_type i = 0; i < m; i++) | |
| 2608 retval.elem (i, j) = b.elem (i, j); | |
| 2609 } | |
| 2610 else | |
| 2611 retval = b; | |
| 2612 | |
| 1948 | 2613 ComplexMatrix atmp = *this; |
| 2614 Complex *tmp_data = atmp.fortran_vec (); | |
| 2615 | |
| 7072 | 2616 Complex *pretval = retval.fortran_vec (); |
| 2617 Array<double> s (minmn); | |
| 7071 | 2618 double *ps = s.fortran_vec (); |
| 2563 | 2619 |
| 7072 | 2620 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2621 octave_idx_type lwork = -1; |
| 3752 | 2622 |
| 2623 Array<Complex> work (1); | |
| 7079 | 2624 |
| 7477 | 2625 octave_idx_type smlsiz; |
| 2626 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2627 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2628 0, 0, 0, 0, smlsiz |
| 7477 | 2629 F77_CHAR_ARG_LEN (6) |
| 7478 | 2630 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2631 |
|
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2632 octave_idx_type mnthr; |
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2633 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2634 F77_CONST_CHAR_ARG2 (" ", 1), |
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2635 m, n, nrhs, -1, mnthr |
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2636 F77_CHAR_ARG_LEN (6) |
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|
2637 F77_CHAR_ARG_LEN (1)); |
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|
2638 |
| 7079 | 2639 // We compute the size of rwork and iwork because ZGELSD in |
| 2640 // older versions of LAPACK does not return them on a query | |
| 2641 // call. | |
| 7124 | 2642 double dminmn = static_cast<double> (minmn); |
| 2643 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2644 #if defined (HAVE_LOG2) |
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2645 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2646 #else |
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2647 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2648 #endif |
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2649 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2650 if (nlvl < 0) |
| 2651 nlvl = 0; | |
| 2652 | |
| 2653 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2654 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2655 if (lrwork < 1) | |
| 2656 lrwork = 1; | |
| 2657 Array<double> rwork (lrwork); | |
| 2658 double *prwork = rwork.fortran_vec (); | |
| 2659 | |
| 2660 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2661 if (liwork < 1) | |
| 2662 liwork = 1; | |
| 2663 Array<octave_idx_type> iwork (liwork); | |
| 2664 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2665 |
| 2666 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2667 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2668 lwork, prwork, piwork, info)); |
| 1948 | 2669 |
| 7476 | 2670 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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2671 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2672 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2673 // efficiently. |
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2674 if (n >= mnthr) |
| 7476 | 2675 { |
| 2676 octave_idx_type addend = m; | |
| 2677 | |
| 2678 if (2*m-4 > addend) | |
| 2679 addend = 2*m-4; | |
| 2680 | |
| 2681 if (nrhs > addend) | |
| 2682 addend = nrhs; | |
| 2683 | |
| 2684 if (n-3*m > addend) | |
| 2685 addend = n-3*m; | |
| 2686 | |
| 2687 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2688 | |
| 2689 if (std::real (work(0)) < lworkaround) | |
| 2690 work(0) = lworkaround; | |
| 2691 } | |
|
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2692 else if (m >= n) |
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2693 { |
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|
2694 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2695 |
|
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|
2696 if (std::real (work(0)) < lworkaround) |
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|
2697 work(0) = lworkaround; |
|
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|
2698 } |
| 7476 | 2699 |
|
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|
2700 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2701 work.resize (lwork); |
|
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|
2702 |
|
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|
2703 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2704 maxmn, ps, rcon, rank, |
|
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|
2705 work.fortran_vec (), lwork, |
|
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|
2706 prwork, piwork, info)); |
|
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|
2707 |
|
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|
2708 if (rank < minmn) |
|
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|
2709 (*current_liboctave_warning_handler) |
|
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|
2710 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2711 m, n, rank, rcon); |
|
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2712 |
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|
2713 if (s.elem (0) == 0.0) |
| 7788 | 2714 rcon = 0.0; |
| 1948 | 2715 else |
| 7788 | 2716 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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2717 |
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|
2718 retval.resize (n, nrhs); |
| 458 | 2719 } |
| 2720 | |
| 2721 return retval; | |
| 2722 } | |
| 2723 | |
| 2724 ComplexColumnVector | |
| 3585 | 2725 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2726 { | |
| 5275 | 2727 octave_idx_type info; |
| 2728 octave_idx_type rank; | |
| 7788 | 2729 double rcon; |
| 2730 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2731 } |
| 2732 | |
| 2733 ComplexColumnVector | |
| 5275 | 2734 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2735 { |
| 5275 | 2736 octave_idx_type rank; |
| 7788 | 2737 double rcon; |
| 2738 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2739 } |
| 2740 | |
| 2741 ComplexColumnVector | |
| 7076 | 2742 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2743 octave_idx_type& rank) const | |
| 3585 | 2744 { |
| 7788 | 2745 double rcon; |
| 2746 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2747 } |
| 2748 | |
| 2749 ComplexColumnVector | |
| 2750 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2751 octave_idx_type& rank, double& rcon) const |
| 7076 | 2752 { |
| 7788 | 2753 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2754 } |
| 2755 | |
| 2756 ComplexColumnVector | |
| 458 | 2757 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2758 { | |
| 5275 | 2759 octave_idx_type info; |
| 2760 octave_idx_type rank; | |
| 7788 | 2761 double rcon; |
| 2762 return lssolve (b, info, rank, rcon); | |
| 458 | 2763 } |
| 2764 | |
| 2765 ComplexColumnVector | |
| 5275 | 2766 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2767 { |
| 5275 | 2768 octave_idx_type rank; |
| 7788 | 2769 double rcon; |
| 2770 return lssolve (b, info, rank, rcon); | |
| 458 | 2771 } |
| 2772 | |
| 2773 ComplexColumnVector | |
| 5275 | 2774 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2775 octave_idx_type& rank) const | |
| 458 | 2776 { |
| 7788 | 2777 double rcon; |
| 2778 return lssolve (b, info, rank, rcon); | |
| 7076 | 2779 |
| 2780 } | |
| 2781 | |
| 2782 ComplexColumnVector | |
| 2783 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2784 octave_idx_type& rank, double& rcon) const |
| 7076 | 2785 { |
| 1948 | 2786 ComplexColumnVector retval; |
| 2787 | |
| 5275 | 2788 octave_idx_type nrhs = 1; |
| 2789 | |
| 2790 octave_idx_type m = rows (); | |
| 2791 octave_idx_type n = cols (); | |
| 458 | 2792 |
| 6924 | 2793 if (m != b.length ()) |
| 1948 | 2794 (*current_liboctave_error_handler) |
| 6924 | 2795 ("matrix dimension mismatch solution of linear equations"); |
| 2796 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2797 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2798 else |
| 458 | 2799 { |
| 7072 | 2800 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2801 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2802 rcon = -1.0; |
| 7072 | 2803 |
| 2804 if (m != n) | |
| 2805 { | |
| 2806 retval = ComplexColumnVector (maxmn); | |
| 2807 | |
| 2808 for (octave_idx_type i = 0; i < m; i++) | |
| 2809 retval.elem (i) = b.elem (i); | |
| 2810 } | |
| 2811 else | |
| 2812 retval = b; | |
| 2813 | |
| 1948 | 2814 ComplexMatrix atmp = *this; |
| 2815 Complex *tmp_data = atmp.fortran_vec (); | |
| 2816 | |
| 7072 | 2817 Complex *pretval = retval.fortran_vec (); |
| 2818 Array<double> s (minmn); | |
| 7071 | 2819 double *ps = s.fortran_vec (); |
| 1948 | 2820 |
| 7072 | 2821 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2822 octave_idx_type lwork = -1; |
| 3752 | 2823 |
| 2824 Array<Complex> work (1); | |
| 7079 | 2825 |
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2826 octave_idx_type smlsiz; |
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2827 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2828 F77_CONST_CHAR_ARG2 (" ", 1), |
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2829 0, 0, 0, 0, smlsiz |
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7532
diff
changeset
|
2830 F77_CHAR_ARG_LEN (6) |
|
f9983d2761df
more xGELSD workspace fixes
Jaroslav Hajek <highegg@gmail.com>
parents:
7532
diff
changeset
|
2831 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2832 |
| 2833 // We compute the size of rwork and iwork because ZGELSD in | |
| 2834 // older versions of LAPACK does not return them on a query | |
| 2835 // call. | |
| 7124 | 2836 double dminmn = static_cast<double> (minmn); |
| 2837 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2838 #if defined (HAVE_LOG2) |
|
7544
f9983d2761df
more xGELSD workspace fixes
Jaroslav Hajek <highegg@gmail.com>
parents:
7532
diff
changeset
|
2839 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2840 #else |
|
7544
f9983d2761df
more xGELSD workspace fixes
Jaroslav Hajek <highegg@gmail.com>
parents:
7532
diff
changeset
|
2841 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2842 #endif |
|
7544
f9983d2761df
more xGELSD workspace fixes
Jaroslav Hajek <highegg@gmail.com>
parents:
7532
diff
changeset
|
2843 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2844 if (nlvl < 0) |
| 2845 nlvl = 0; | |
| 2846 | |
| 2847 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2848 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2849 if (lrwork < 1) | |
| 2850 lrwork = 1; | |
| 2851 Array<double> rwork (lrwork); | |
| 2852 double *prwork = rwork.fortran_vec (); | |
| 2853 | |
| 2854 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2855 if (liwork < 1) | |
| 2856 liwork = 1; | |
| 2857 Array<octave_idx_type> iwork (liwork); | |
| 2858 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2859 |
| 2860 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2861 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2862 lwork, prwork, piwork, info)); |
| 1948 | 2863 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2864 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2865 work.resize (lwork); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2866 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2867 iwork.resize (iwork(0)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2868 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2869 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2870 maxmn, ps, rcon, rank, |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2871 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2872 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2873 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2874 if (rank < minmn) |
| 1948 | 2875 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2876 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2877 (*current_liboctave_warning_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2878 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2879 m, n, rank, rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2880 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2881 if (s.elem (0) == 0.0) |
| 7788 | 2882 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2883 else |
| 7788 | 2884 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2885 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2886 retval.resize (n, nrhs); |
| 1948 | 2887 } |
| 458 | 2888 } |
| 2889 | |
| 2890 return retval; | |
| 2891 } | |
| 2892 | |
| 1205 | 2893 // column vector by row vector -> matrix operations |
| 2894 | |
| 2895 ComplexMatrix | |
| 2896 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2897 { | |
| 2898 ComplexColumnVector tmp (v); | |
| 2899 return tmp * a; | |
| 2900 } | |
| 2901 | |
| 2902 ComplexMatrix | |
| 2903 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2904 { | |
| 2905 ComplexRowVector tmp (b); | |
| 2906 return a * tmp; | |
| 2907 } | |
| 2908 | |
| 2909 ComplexMatrix | |
| 2910 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2911 { | |
| 1948 | 2912 ComplexMatrix retval; |
| 2913 | |
| 5275 | 2914 octave_idx_type len = v.length (); |
| 3233 | 2915 |
| 2916 if (len != 0) | |
| 1205 | 2917 { |
| 5275 | 2918 octave_idx_type a_len = a.length (); |
| 3233 | 2919 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
2920 retval = ComplexMatrix (len, a_len); |
| 3233 | 2921 Complex *c = retval.fortran_vec (); |
| 2922 | |
| 4552 | 2923 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2924 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2925 len, a_len, 1, 1.0, v.data (), len, | |
| 2926 a.data (), 1, 0.0, c, len | |
| 2927 F77_CHAR_ARG_LEN (1) | |
| 2928 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2929 } |
| 2930 | |
| 1948 | 2931 return retval; |
| 1205 | 2932 } |
| 2933 | |
| 458 | 2934 // matrix by diagonal matrix -> matrix operations |
| 2935 | |
| 2936 ComplexMatrix& | |
| 2937 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2938 { | |
| 5275 | 2939 octave_idx_type nr = rows (); |
| 2940 octave_idx_type nc = cols (); | |
| 2941 | |
| 2942 octave_idx_type a_nr = rows (); | |
| 2943 octave_idx_type a_nc = cols (); | |
| 2384 | 2944 |
| 2945 if (nr != a_nr || nc != a_nc) | |
| 458 | 2946 { |
| 2384 | 2947 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2948 return *this; |
| 458 | 2949 } |
| 2950 | |
| 5275 | 2951 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2952 elem (i, i) += a.elem (i, i); |
| 2953 | |
| 2954 return *this; | |
| 2955 } | |
| 2956 | |
| 2957 ComplexMatrix& | |
| 2958 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2959 { | |
| 5275 | 2960 octave_idx_type nr = rows (); |
| 2961 octave_idx_type nc = cols (); | |
| 2962 | |
| 2963 octave_idx_type a_nr = rows (); | |
| 2964 octave_idx_type a_nc = cols (); | |
| 2384 | 2965 |
| 2966 if (nr != a_nr || nc != a_nc) | |
| 458 | 2967 { |
| 2384 | 2968 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2969 return *this; |
| 458 | 2970 } |
| 2971 | |
| 5275 | 2972 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2973 elem (i, i) -= a.elem (i, i); |
| 2974 | |
| 2975 return *this; | |
| 2976 } | |
| 2977 | |
| 2978 ComplexMatrix& | |
| 2979 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2980 { | |
| 5275 | 2981 octave_idx_type nr = rows (); |
| 2982 octave_idx_type nc = cols (); | |
| 2983 | |
| 2984 octave_idx_type a_nr = rows (); | |
| 2985 octave_idx_type a_nc = cols (); | |
| 2384 | 2986 |
| 2987 if (nr != a_nr || nc != a_nc) | |
| 458 | 2988 { |
| 2384 | 2989 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2990 return *this; |
| 458 | 2991 } |
| 2992 | |
| 5275 | 2993 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2994 elem (i, i) += a.elem (i, i); |
| 2995 | |
| 2996 return *this; | |
| 2997 } | |
| 2998 | |
| 2999 ComplexMatrix& | |
| 3000 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3001 { | |
| 5275 | 3002 octave_idx_type nr = rows (); |
| 3003 octave_idx_type nc = cols (); | |
| 3004 | |
| 3005 octave_idx_type a_nr = rows (); | |
| 3006 octave_idx_type a_nc = cols (); | |
| 2384 | 3007 |
| 3008 if (nr != a_nr || nc != a_nc) | |
| 458 | 3009 { |
| 2384 | 3010 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3011 return *this; |
| 458 | 3012 } |
| 3013 | |
| 5275 | 3014 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3015 elem (i, i) -= a.elem (i, i); |
| 3016 | |
| 3017 return *this; | |
| 3018 } | |
| 3019 | |
| 3020 // matrix by matrix -> matrix operations | |
| 3021 | |
| 3022 ComplexMatrix& | |
| 3023 ComplexMatrix::operator += (const Matrix& a) | |
| 3024 { | |
| 5275 | 3025 octave_idx_type nr = rows (); |
| 3026 octave_idx_type nc = cols (); | |
| 3027 | |
| 3028 octave_idx_type a_nr = a.rows (); | |
| 3029 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3030 |
| 3031 if (nr != a_nr || nc != a_nc) | |
| 458 | 3032 { |
| 2384 | 3033 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3034 return *this; |
| 3035 } | |
| 3036 | |
| 3037 if (nr == 0 || nc == 0) | |
| 3038 return *this; | |
| 3039 | |
| 3040 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3041 | |
|
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3042 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 3043 return *this; |
| 3044 } | |
| 3045 | |
| 3046 ComplexMatrix& | |
| 3047 ComplexMatrix::operator -= (const Matrix& a) | |
| 3048 { | |
| 5275 | 3049 octave_idx_type nr = rows (); |
| 3050 octave_idx_type nc = cols (); | |
| 3051 | |
| 3052 octave_idx_type a_nr = a.rows (); | |
| 3053 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3054 |
| 3055 if (nr != a_nr || nc != a_nc) | |
| 458 | 3056 { |
| 2384 | 3057 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3058 return *this; |
| 3059 } | |
| 3060 | |
| 3061 if (nr == 0 || nc == 0) | |
| 3062 return *this; | |
| 3063 | |
| 3064 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3065 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3066 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3067 return *this; |
| 3068 } | |
| 3069 | |
| 3070 // unary operations | |
| 3071 | |
| 2964 | 3072 boolMatrix |
| 458 | 3073 ComplexMatrix::operator ! (void) const |
| 3074 { | |
|
9553
0c72d9284087
further bool ops tweaks
Jaroslav Hajek <highegg@gmail.com>
parents:
9551
diff
changeset
|
3075 return do_mx_unary_op<boolMatrix, ComplexMatrix> (*this, mx_inline_not); |
| 458 | 3076 } |
| 3077 | |
| 3078 // other operations | |
| 3079 | |
| 2384 | 3080 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3081 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
|
3082 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3083 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3084 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3085 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3086 for (octave_idx_type j = 0; j < nc; j++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3087 for (octave_idx_type i = 0; i < nr; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3088 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3089 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3090 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3091 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3092 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3093 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3094 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3095 } |
|
935be827eaf8
error for NaN values in & and | expressions
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parents:
7803
diff
changeset
|
3096 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
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7803
diff
changeset
|
3097 bool |
| 2384 | 3098 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3099 { | |
| 5275 | 3100 octave_idx_type nr = rows (); |
| 3101 octave_idx_type nc = cols (); | |
| 3102 | |
| 3103 for (octave_idx_type j = 0; j < nc; j++) | |
| 3104 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3105 { |
| 3106 Complex val = elem (i, j); | |
| 3107 if (xisinf (val) || xisnan (val)) | |
| 3108 return true; | |
| 3109 } | |
| 3110 | |
| 3111 return false; | |
| 3112 } | |
| 3113 | |
| 2408 | 3114 // Return true if no elements have imaginary components. |
| 3115 | |
| 3116 bool | |
| 3117 ComplexMatrix::all_elements_are_real (void) const | |
| 3118 { | |
|
9825
7483fe200fab
narrow complex values with negative zero imaginary parts
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3119 return mx_inline_all_real (numel (), data ()); |
| 2408 | 3120 } |
| 3121 | |
| 1968 | 3122 // Return nonzero if any element of CM has a non-integer real or |
| 3123 // imaginary part. Also extract the largest and smallest (real or | |
| 3124 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3125 | |
| 2384 | 3126 bool |
| 1968 | 3127 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3128 { | |
| 5275 | 3129 octave_idx_type nr = rows (); |
| 3130 octave_idx_type nc = cols (); | |
| 1968 | 3131 |
| 3132 if (nr > 0 && nc > 0) | |
| 3133 { | |
| 3134 Complex val = elem (0, 0); | |
| 3135 | |
| 5315 | 3136 double r_val = std::real (val); |
| 3137 double i_val = std::imag (val); | |
| 1968 | 3138 |
| 3139 max_val = r_val; | |
| 3140 min_val = r_val; | |
| 3141 | |
| 3142 if (i_val > max_val) | |
| 3143 max_val = i_val; | |
| 3144 | |
| 3145 if (i_val < max_val) | |
| 3146 min_val = i_val; | |
| 3147 } | |
| 3148 else | |
| 2384 | 3149 return false; |
| 1968 | 3150 |
| 5275 | 3151 for (octave_idx_type j = 0; j < nc; j++) |
| 3152 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3153 { |
| 3154 Complex val = elem (i, j); | |
| 3155 | |
| 5315 | 3156 double r_val = std::real (val); |
| 3157 double i_val = std::imag (val); | |
| 1968 | 3158 |
| 3159 if (r_val > max_val) | |
| 3160 max_val = r_val; | |
| 3161 | |
| 3162 if (i_val > max_val) | |
| 3163 max_val = i_val; | |
| 3164 | |
| 3165 if (r_val < min_val) | |
| 3166 min_val = r_val; | |
| 3167 | |
| 3168 if (i_val < min_val) | |
| 3169 min_val = i_val; | |
| 3170 | |
| 3171 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3172 return false; |
| 1968 | 3173 } |
| 2384 | 3174 |
| 3175 return true; | |
| 1968 | 3176 } |
| 3177 | |
| 2384 | 3178 bool |
| 1968 | 3179 ComplexMatrix::too_large_for_float (void) const |
| 3180 { | |
| 5275 | 3181 octave_idx_type nr = rows (); |
| 3182 octave_idx_type nc = cols (); | |
| 3183 | |
| 3184 for (octave_idx_type j = 0; j < nc; j++) | |
| 3185 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3186 { |
| 3187 Complex val = elem (i, j); | |
| 3188 | |
| 5315 | 3189 double r_val = std::real (val); |
| 3190 double i_val = std::imag (val); | |
| 1968 | 3191 |
| 5389 | 3192 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3193 && fabs (r_val) > FLT_MAX) |
| 5389 | 3194 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3195 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3196 return true; |
| 1968 | 3197 } |
| 3198 | |
| 2384 | 3199 return false; |
| 1968 | 3200 } |
| 3201 | |
| 5775 | 3202 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3203 // in a base class? |
| 3204 | |
| 2832 | 3205 boolMatrix |
| 4015 | 3206 ComplexMatrix::all (int dim) const |
| 458 | 3207 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3208 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_all); |
| 458 | 3209 } |
| 3210 | |
| 2832 | 3211 boolMatrix |
| 4015 | 3212 ComplexMatrix::any (int dim) const |
| 458 | 3213 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3214 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_any); |
| 458 | 3215 } |
| 3216 | |
| 3217 ComplexMatrix | |
| 3723 | 3218 ComplexMatrix::cumprod (int dim) const |
| 458 | 3219 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3220 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3221 } |
| 3222 | |
| 3223 ComplexMatrix | |
| 3723 | 3224 ComplexMatrix::cumsum (int dim) const |
| 458 | 3225 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3226 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumsum); |
| 458 | 3227 } |
| 3228 | |
| 3229 ComplexMatrix | |
| 3723 | 3230 ComplexMatrix::prod (int dim) const |
| 458 | 3231 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3232 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3233 } |
| 3234 | |
| 3235 ComplexMatrix | |
| 3723 | 3236 ComplexMatrix::sum (int dim) const |
| 458 | 3237 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3238 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_sum); |
| 458 | 3239 } |
| 3240 | |
| 3241 ComplexMatrix | |
| 3723 | 3242 ComplexMatrix::sumsq (int dim) const |
| 458 | 3243 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3244 return do_mx_red_op<Matrix, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3245 } |
| 3246 | |
| 4329 | 3247 Matrix ComplexMatrix::abs (void) const |
| 3248 { | |
|
8650
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
3249 return Matrix (mx_inline_cabs_dup (data (), length ()), |
|
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
3250 rows (), cols ()); |
| 4329 | 3251 } |
| 3252 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3253 ComplexMatrix |
| 5275 | 3254 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3255 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3256 return MArray2<Complex>::diag (k); |
| 458 | 3257 } |
| 3258 | |
| 2354 | 3259 bool |
| 5275 | 3260 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3261 { |
| 3262 bool retval = true; | |
| 3263 | |
| 5275 | 3264 octave_idx_type nc = columns (); |
| 3265 | |
| 3266 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3267 { |
| 5315 | 3268 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3269 { |
| 3270 retval = false; | |
| 3271 break; | |
| 3272 } | |
| 3273 } | |
| 3274 | |
| 3275 return retval; | |
| 3276 } | |
| 3277 | |
| 3278 bool | |
| 5275 | 3279 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3280 { |
| 3281 bool retval = true; | |
| 3282 | |
| 5275 | 3283 octave_idx_type nr = rows (); |
| 3284 | |
| 3285 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3286 { |
| 5315 | 3287 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3288 { |
| 3289 retval = false; | |
| 3290 break; | |
| 3291 } | |
| 3292 } | |
| 3293 | |
| 3294 return retval; | |
| 3295 } | |
| 891 | 3296 |
| 458 | 3297 ComplexColumnVector |
| 3298 ComplexMatrix::row_min (void) const | |
| 3299 { | |
| 5275 | 3300 Array<octave_idx_type> dummy_idx; |
| 4587 | 3301 return row_min (dummy_idx); |
| 458 | 3302 } |
| 3303 | |
| 3304 ComplexColumnVector | |
| 5275 | 3305 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3306 { |
| 3307 ComplexColumnVector result; | |
| 3308 | |
| 5275 | 3309 octave_idx_type nr = rows (); |
| 3310 octave_idx_type nc = cols (); | |
| 458 | 3311 |
| 3312 if (nr > 0 && nc > 0) | |
| 3313 { | |
| 3314 result.resize (nr); | |
| 4587 | 3315 idx_arg.resize (nr); |
| 458 | 3316 |
| 5275 | 3317 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3318 { |
| 2354 | 3319 bool real_only = row_is_real_only (i); |
| 3320 | |
| 5275 | 3321 octave_idx_type idx_j; |
| 4469 | 3322 |
| 3323 Complex tmp_min; | |
| 3324 | |
| 3325 double abs_min = octave_NaN; | |
| 3326 | |
| 3327 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3328 { | |
| 3329 tmp_min = elem (i, idx_j); | |
| 3330 | |
| 5389 | 3331 if (! xisnan (tmp_min)) |
| 4469 | 3332 { |
| 5315 | 3333 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3334 break; |
| 3335 } | |
| 3336 } | |
| 3337 | |
| 5275 | 3338 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3339 { |
| 3340 Complex tmp = elem (i, j); | |
| 3341 | |
| 5389 | 3342 if (xisnan (tmp)) |
| 4469 | 3343 continue; |
| 3344 | |
| 5315 | 3345 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3346 |
| 3347 if (abs_tmp < abs_min) | |
| 3348 { | |
| 3349 idx_j = j; | |
| 3350 tmp_min = tmp; | |
| 3351 abs_min = abs_tmp; | |
| 3352 } | |
| 3353 } | |
| 3354 | |
| 5389 | 3355 if (xisnan (tmp_min)) |
| 4469 | 3356 { |
| 3357 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3358 idx_arg.elem (i) = 0; |
| 4469 | 3359 } |
| 891 | 3360 else |
| 3361 { | |
| 4469 | 3362 result.elem (i) = tmp_min; |
| 4587 | 3363 idx_arg.elem (i) = idx_j; |
| 891 | 3364 } |
| 458 | 3365 } |
| 3366 } | |
| 3367 | |
| 3368 return result; | |
| 3369 } | |
| 3370 | |
| 3371 ComplexColumnVector | |
| 3372 ComplexMatrix::row_max (void) const | |
| 3373 { | |
| 5275 | 3374 Array<octave_idx_type> dummy_idx; |
| 4587 | 3375 return row_max (dummy_idx); |
| 458 | 3376 } |
| 3377 | |
| 3378 ComplexColumnVector | |
| 5275 | 3379 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3380 { |
| 3381 ComplexColumnVector result; | |
| 3382 | |
| 5275 | 3383 octave_idx_type nr = rows (); |
| 3384 octave_idx_type nc = cols (); | |
| 458 | 3385 |
| 3386 if (nr > 0 && nc > 0) | |
| 3387 { | |
| 3388 result.resize (nr); | |
| 4587 | 3389 idx_arg.resize (nr); |
| 458 | 3390 |
| 5275 | 3391 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3392 { |
| 2354 | 3393 bool real_only = row_is_real_only (i); |
| 3394 | |
| 5275 | 3395 octave_idx_type idx_j; |
| 4469 | 3396 |
| 3397 Complex tmp_max; | |
| 3398 | |
| 3399 double abs_max = octave_NaN; | |
| 3400 | |
| 3401 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3402 { | |
| 3403 tmp_max = elem (i, idx_j); | |
| 3404 | |
| 5389 | 3405 if (! xisnan (tmp_max)) |
| 4469 | 3406 { |
| 5315 | 3407 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3408 break; |
| 3409 } | |
| 3410 } | |
| 3411 | |
| 5275 | 3412 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3413 { |
| 3414 Complex tmp = elem (i, j); | |
| 3415 | |
| 5389 | 3416 if (xisnan (tmp)) |
| 4469 | 3417 continue; |
| 3418 | |
| 5315 | 3419 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3420 |
| 3421 if (abs_tmp > abs_max) | |
| 3422 { | |
| 3423 idx_j = j; | |
| 3424 tmp_max = tmp; | |
| 3425 abs_max = abs_tmp; | |
| 3426 } | |
| 3427 } | |
| 3428 | |
| 5389 | 3429 if (xisnan (tmp_max)) |
| 4469 | 3430 { |
| 3431 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3432 idx_arg.elem (i) = 0; |
| 4469 | 3433 } |
| 891 | 3434 else |
| 3435 { | |
| 4469 | 3436 result.elem (i) = tmp_max; |
| 4587 | 3437 idx_arg.elem (i) = idx_j; |
| 891 | 3438 } |
| 458 | 3439 } |
| 3440 } | |
| 3441 | |
| 3442 return result; | |
| 3443 } | |
| 3444 | |
| 3445 ComplexRowVector | |
| 3446 ComplexMatrix::column_min (void) const | |
| 3447 { | |
| 5275 | 3448 Array<octave_idx_type> dummy_idx; |
| 4587 | 3449 return column_min (dummy_idx); |
| 458 | 3450 } |
| 3451 | |
| 3452 ComplexRowVector | |
| 5275 | 3453 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3454 { |
| 3455 ComplexRowVector result; | |
| 3456 | |
| 5275 | 3457 octave_idx_type nr = rows (); |
| 3458 octave_idx_type nc = cols (); | |
| 458 | 3459 |
| 3460 if (nr > 0 && nc > 0) | |
| 3461 { | |
| 3462 result.resize (nc); | |
| 4587 | 3463 idx_arg.resize (nc); |
| 458 | 3464 |
| 5275 | 3465 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3466 { |
| 2354 | 3467 bool real_only = column_is_real_only (j); |
| 3468 | |
| 5275 | 3469 octave_idx_type idx_i; |
| 4469 | 3470 |
| 3471 Complex tmp_min; | |
| 3472 | |
| 3473 double abs_min = octave_NaN; | |
| 3474 | |
| 3475 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3476 { | |
| 3477 tmp_min = elem (idx_i, j); | |
| 3478 | |
| 5389 | 3479 if (! xisnan (tmp_min)) |
| 4469 | 3480 { |
| 5315 | 3481 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3482 break; |
| 3483 } | |
| 3484 } | |
| 3485 | |
| 5275 | 3486 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3487 { |
| 3488 Complex tmp = elem (i, j); | |
| 3489 | |
| 5389 | 3490 if (xisnan (tmp)) |
| 4469 | 3491 continue; |
| 3492 | |
| 5315 | 3493 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3494 |
| 3495 if (abs_tmp < abs_min) | |
| 3496 { | |
| 3497 idx_i = i; | |
| 3498 tmp_min = tmp; | |
| 3499 abs_min = abs_tmp; | |
| 3500 } | |
| 3501 } | |
| 3502 | |
| 5389 | 3503 if (xisnan (tmp_min)) |
| 4469 | 3504 { |
| 3505 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3506 idx_arg.elem (j) = 0; |
| 4469 | 3507 } |
| 891 | 3508 else |
| 3509 { | |
| 4469 | 3510 result.elem (j) = tmp_min; |
| 4587 | 3511 idx_arg.elem (j) = idx_i; |
| 891 | 3512 } |
| 458 | 3513 } |
| 3514 } | |
| 3515 | |
| 3516 return result; | |
| 3517 } | |
| 3518 | |
| 3519 ComplexRowVector | |
| 3520 ComplexMatrix::column_max (void) const | |
| 3521 { | |
| 5275 | 3522 Array<octave_idx_type> dummy_idx; |
| 4587 | 3523 return column_max (dummy_idx); |
| 458 | 3524 } |
| 3525 | |
| 3526 ComplexRowVector | |
| 5275 | 3527 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3528 { |
| 3529 ComplexRowVector result; | |
| 3530 | |
| 5275 | 3531 octave_idx_type nr = rows (); |
| 3532 octave_idx_type nc = cols (); | |
| 458 | 3533 |
| 3534 if (nr > 0 && nc > 0) | |
| 3535 { | |
| 3536 result.resize (nc); | |
| 4587 | 3537 idx_arg.resize (nc); |
| 458 | 3538 |
| 5275 | 3539 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3540 { |
| 2354 | 3541 bool real_only = column_is_real_only (j); |
| 3542 | |
| 5275 | 3543 octave_idx_type idx_i; |
| 4469 | 3544 |
| 3545 Complex tmp_max; | |
| 3546 | |
| 3547 double abs_max = octave_NaN; | |
| 3548 | |
| 3549 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3550 { | |
| 3551 tmp_max = elem (idx_i, j); | |
| 3552 | |
| 5389 | 3553 if (! xisnan (tmp_max)) |
| 4469 | 3554 { |
| 5315 | 3555 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3556 break; |
| 3557 } | |
| 3558 } | |
| 3559 | |
| 5275 | 3560 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3561 { |
| 3562 Complex tmp = elem (i, j); | |
| 3563 | |
| 5389 | 3564 if (xisnan (tmp)) |
| 4469 | 3565 continue; |
| 3566 | |
| 5315 | 3567 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3568 |
| 3569 if (abs_tmp > abs_max) | |
| 3570 { | |
| 3571 idx_i = i; | |
| 3572 tmp_max = tmp; | |
| 3573 abs_max = abs_tmp; | |
| 3574 } | |
| 3575 } | |
| 3576 | |
| 5389 | 3577 if (xisnan (tmp_max)) |
| 4469 | 3578 { |
| 3579 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3580 idx_arg.elem (j) = 0; |
| 4469 | 3581 } |
| 891 | 3582 else |
| 3583 { | |
| 4469 | 3584 result.elem (j) = tmp_max; |
| 4587 | 3585 idx_arg.elem (j) = idx_i; |
| 891 | 3586 } |
| 458 | 3587 } |
| 3588 } | |
| 3589 | |
| 3590 return result; | |
| 3591 } | |
| 3592 | |
| 3593 // i/o | |
| 3594 | |
| 3504 | 3595 std::ostream& |
| 3596 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3597 { |
| 5275 | 3598 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3599 { |
| 5275 | 3600 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3601 { |
| 3602 os << " "; | |
| 3603 octave_write_complex (os, a.elem (i, j)); | |
| 3604 } | |
| 458 | 3605 os << "\n"; |
| 3606 } | |
| 3607 return os; | |
| 3608 } | |
| 3609 | |
| 3504 | 3610 std::istream& |
| 3611 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3612 { |
| 5275 | 3613 octave_idx_type nr = a.rows (); |
| 3614 octave_idx_type nc = a.cols (); | |
| 458 | 3615 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3616 if (nr > 0 && nc > 0) |
| 458 | 3617 { |
| 3618 Complex tmp; | |
| 5275 | 3619 for (octave_idx_type i = 0; i < nr; i++) |
| 3620 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3621 { |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9359
diff
changeset
|
3622 tmp = octave_read_value<Complex> (is); |
| 458 | 3623 if (is) |
| 3624 a.elem (i, j) = tmp; | |
| 3625 else | |
| 2993 | 3626 goto done; |
| 458 | 3627 } |
| 3628 } | |
| 3629 | |
| 2993 | 3630 done: |
| 3631 | |
| 458 | 3632 return is; |
| 3633 } | |
| 3634 | |
| 1819 | 3635 ComplexMatrix |
| 3636 Givens (const Complex& x, const Complex& y) | |
| 3637 { | |
| 3638 double cc; | |
| 3639 Complex cs, temp_r; | |
| 3640 | |
| 3887 | 3641 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3642 |
| 3643 ComplexMatrix g (2, 2); | |
| 3644 | |
| 3645 g.elem (0, 0) = cc; | |
| 3646 g.elem (1, 1) = cc; | |
| 3647 g.elem (0, 1) = cs; | |
| 3648 g.elem (1, 0) = -conj (cs); | |
| 3649 | |
| 3650 return g; | |
| 3651 } | |
| 3652 | |
| 3653 ComplexMatrix | |
| 3654 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3655 const ComplexMatrix& c) | |
| 3656 { | |
| 3657 ComplexMatrix retval; | |
| 3658 | |
| 5775 | 3659 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3660 // size. |
| 3661 | |
| 3662 // Compute Schur decompositions | |
| 3663 | |
| 3664 ComplexSCHUR as (a, "U"); | |
| 3665 ComplexSCHUR bs (b, "U"); | |
| 3666 | |
| 3667 // Transform c to new coordinates. | |
| 3668 | |
| 3669 ComplexMatrix ua = as.unitary_matrix (); | |
| 3670 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3671 | |
| 3672 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3673 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3674 | |
| 3675 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3676 | |
| 3677 // Solve the sylvester equation, back-transform, and return the | |
| 3678 // solution. | |
| 3679 | |
| 5275 | 3680 octave_idx_type a_nr = a.rows (); |
| 3681 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3682 |
| 3683 double scale; | |
| 5275 | 3684 octave_idx_type info; |
| 1950 | 3685 |
| 3686 Complex *pa = sch_a.fortran_vec (); | |
| 3687 Complex *pb = sch_b.fortran_vec (); | |
| 3688 Complex *px = cx.fortran_vec (); | |
| 1819 | 3689 |
| 4552 | 3690 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3691 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3692 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3693 b_nr, px, a_nr, scale, info | |
| 3694 F77_CHAR_ARG_LEN (1) | |
| 3695 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3696 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3697 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3698 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3699 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3700 |
| 3701 return retval; | |
| 3702 } | |
| 3703 | |
| 2828 | 3704 ComplexMatrix |
| 3705 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3706 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3707 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
|
3708 return ComplexMatrix (real (m) * a, imag (m) * a); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3709 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3710 return m * ComplexMatrix (a); |
| 2828 | 3711 } |
| 3712 | |
| 3713 ComplexMatrix | |
| 3714 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3715 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3716 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
|
3717 return ComplexMatrix (m * real (a), m * imag (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 | |
| 6162 | 3722 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3723 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3724 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3725 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i 6+i ; 7+i 8+i], [17 + 15i 20 + 17i; 41 + 19i 48 + 21i], 1e-14) | |
|
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3726 %!assert([1 i]*[i 0]', -i); |
| 6162 | 3727 */ |
| 3728 | |
| 3729 /* Test some simple identities | |
| 3730 %!shared M, cv, rv | |
| 3731 %! M = randn(10,10)+i*rand(10,10); | |
| 3732 %! cv = randn(10,1)+i*rand(10,1); | |
| 3733 %! rv = randn(1,10)+i*rand(1,10); | |
| 3734 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3735 %!assert([M.'*cv,M.'*cv],M.'*[cv,cv],1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3736 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3737 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3738 %!assert([rv*M.';rv*M.'],[rv;rv]*M.',1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3739 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3740 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3741 */ | |
| 3742 | |
|
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
|
3743 static const char * |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3744 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
|
3745 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3746 static char blas_notrans = 'N', blas_trans = 'T', blas_conj_trans = 'C'; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3747 return trans ? (conj ? &blas_conj_trans : &blas_trans) : &blas_notrans; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3748 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3749 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3750 // 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
|
3751 |
| 2828 | 3752 ComplexMatrix |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3753 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3754 blas_trans_type transa, blas_trans_type transb) |
| 2828 | 3755 { |
| 3756 ComplexMatrix retval; | |
| 3757 | |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3758 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
|
3759 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
|
3760 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3761 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
|
3762 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
|
3763 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3764 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
|
3765 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
|
3766 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3767 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
|
3768 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3769 else |
| 3770 { | |
|
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
|
3771 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3772 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
|
3773 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
|
3774 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3775 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3776 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3777 retval = ComplexMatrix (a_nr, b_nc); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3778 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3779 |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3780 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3781 if (cja || cjb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3782 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3783 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3784 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3785 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3786 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3787 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3788 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3789 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
|
3790 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
|
3791 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
|
3792 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3793 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3795 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3796 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3797 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3798 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3799 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3801 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
|
3802 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
|
3803 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3807 } |
| 2828 | 3808 else |
| 3809 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3810 octave_idx_type lda = a.rows (), tda = a.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3811 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3812 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3813 retval = ComplexMatrix (a_nr, b_nc); |
| 2828 | 3814 Complex *c = retval.fortran_vec (); |
| 3815 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3816 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3817 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3818 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
|
3819 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3820 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3821 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
|
3822 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3823 else if (cja) |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3824 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3825 else |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3826 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3827 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3828 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
|
3829 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3830 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3831 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
|
3832 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
|
3833 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
|
3834 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
|
3835 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3836 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
|
3837 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3838 const char *crevtrb = get_blas_trans_arg (! trb, cjb); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3839 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
|
3840 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
|
3841 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
|
3842 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
|
3843 } |
| 5983 | 3844 else |
| 6390 | 3845 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3846 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3847 const char *ctrb = get_blas_trans_arg (trb, cjb); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3848 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (ctra, 1), |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3849 F77_CONST_CHAR_ARG2 (ctrb, 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 a_nr, b_nc, a_nc, 1.0, a.data (), |
|
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 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3852 F77_CHAR_ARG_LEN (1) |
| 3853 F77_CHAR_ARG_LEN (1))); | |
| 3854 } | |
| 2828 | 3855 } |
| 3856 } | |
| 3857 | |
| 3858 return retval; | |
| 3859 } | |
| 3860 | |
|
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
|
3861 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
|
3862 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
|
3863 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3864 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
|
3865 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3866 |
| 5775 | 3867 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3868 // functions below. |
| 3869 | |
| 3870 #define EMPTY_RETURN_CHECK(T) \ | |
| 3871 if (nr == 0 || nc == 0) \ | |
| 3872 return T (nr, nc); | |
| 3873 | |
| 3874 ComplexMatrix | |
| 3875 min (const Complex& c, const ComplexMatrix& m) | |
| 3876 { | |
| 5275 | 3877 octave_idx_type nr = m.rows (); |
| 3878 octave_idx_type nc = m.columns (); | |
| 4309 | 3879 |
| 3880 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3881 | |
| 3882 ComplexMatrix result (nr, nc); | |
| 3883 | |
| 5275 | 3884 for (octave_idx_type j = 0; j < nc; j++) |
| 3885 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3886 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3887 octave_quit (); |
| 4309 | 3888 result (i, j) = xmin (c, m (i, j)); |
| 3889 } | |
| 3890 | |
| 3891 return result; | |
| 3892 } | |
| 3893 | |
| 3894 ComplexMatrix | |
| 3895 min (const ComplexMatrix& m, const Complex& c) | |
| 3896 { | |
| 5275 | 3897 octave_idx_type nr = m.rows (); |
| 3898 octave_idx_type nc = m.columns (); | |
| 4309 | 3899 |
| 3900 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3901 | |
| 3902 ComplexMatrix result (nr, nc); | |
| 3903 | |
| 5275 | 3904 for (octave_idx_type j = 0; j < nc; j++) |
| 3905 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3906 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3907 octave_quit (); |
| 4309 | 3908 result (i, j) = xmin (m (i, j), c); |
| 3909 } | |
| 3910 | |
| 3911 return result; | |
| 3912 } | |
| 3913 | |
| 3914 ComplexMatrix | |
| 3915 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3916 { | |
| 5275 | 3917 octave_idx_type nr = a.rows (); |
| 3918 octave_idx_type nc = a.columns (); | |
| 4309 | 3919 |
| 3920 if (nr != b.rows () || nc != b.columns ()) | |
| 3921 { | |
| 3922 (*current_liboctave_error_handler) | |
| 3923 ("two-arg min expecting args of same size"); | |
| 3924 return ComplexMatrix (); | |
| 3925 } | |
| 3926 | |
| 3927 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3928 | |
| 3929 ComplexMatrix result (nr, nc); | |
| 3930 | |
| 5275 | 3931 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3932 { |
| 3933 int columns_are_real_only = 1; | |
| 5275 | 3934 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3935 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3936 octave_quit (); |
| 5315 | 3937 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3938 { |
| 3939 columns_are_real_only = 0; | |
| 3940 break; | |
| 3941 } | |
| 3942 } | |
| 3943 | |
| 3944 if (columns_are_real_only) | |
| 3945 { | |
| 5275 | 3946 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3947 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3948 } |
| 3949 else | |
| 3950 { | |
| 5275 | 3951 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3952 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3953 octave_quit (); |
| 4309 | 3954 result (i, j) = xmin (a (i, j), b (i, j)); |
| 3955 } | |
| 3956 } | |
| 3957 } | |
| 3958 | |
| 3959 return result; | |
| 3960 } | |
| 3961 | |
| 3962 ComplexMatrix | |
| 3963 max (const Complex& c, const ComplexMatrix& m) | |
| 3964 { | |
| 5275 | 3965 octave_idx_type nr = m.rows (); |
| 3966 octave_idx_type nc = m.columns (); | |
| 4309 | 3967 |
| 3968 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3969 | |
| 3970 ComplexMatrix result (nr, nc); | |
| 3971 | |
| 5275 | 3972 for (octave_idx_type j = 0; j < nc; j++) |
| 3973 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3974 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3975 octave_quit (); |
| 4309 | 3976 result (i, j) = xmax (c, m (i, j)); |
| 3977 } | |
| 3978 | |
| 3979 return result; | |
| 3980 } | |
| 3981 | |
| 3982 ComplexMatrix | |
| 3983 max (const ComplexMatrix& m, const Complex& c) | |
| 3984 { | |
| 5275 | 3985 octave_idx_type nr = m.rows (); |
| 3986 octave_idx_type nc = m.columns (); | |
| 4309 | 3987 |
| 3988 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3989 | |
| 3990 ComplexMatrix result (nr, nc); | |
| 3991 | |
| 5275 | 3992 for (octave_idx_type j = 0; j < nc; j++) |
| 3993 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3994 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
3995 octave_quit (); |
| 4309 | 3996 result (i, j) = xmax (m (i, j), c); |
| 3997 } | |
| 3998 | |
| 3999 return result; | |
| 4000 } | |
| 4001 | |
| 4002 ComplexMatrix | |
| 4003 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4004 { | |
| 5275 | 4005 octave_idx_type nr = a.rows (); |
| 4006 octave_idx_type nc = a.columns (); | |
| 4309 | 4007 |
| 4008 if (nr != b.rows () || nc != b.columns ()) | |
| 4009 { | |
| 4010 (*current_liboctave_error_handler) | |
| 4011 ("two-arg max expecting args of same size"); | |
| 4012 return ComplexMatrix (); | |
| 4013 } | |
| 4014 | |
| 4015 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4016 | |
| 4017 ComplexMatrix result (nr, nc); | |
| 4018 | |
| 5275 | 4019 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4020 { |
| 4021 int columns_are_real_only = 1; | |
| 5275 | 4022 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4023 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
4024 octave_quit (); |
| 5315 | 4025 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4026 { |
| 4027 columns_are_real_only = 0; | |
| 4028 break; | |
| 4029 } | |
| 4030 } | |
| 4031 | |
| 4032 if (columns_are_real_only) | |
| 4033 { | |
| 5275 | 4034 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4035 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
4036 octave_quit (); |
| 5315 | 4037 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4038 } |
| 4039 } | |
| 4040 else | |
| 4041 { | |
| 5275 | 4042 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4043 { |
|
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
10124
diff
changeset
|
4044 octave_quit (); |
| 4309 | 4045 result (i, j) = xmax (a (i, j), b (i, j)); |
| 4046 } | |
| 4047 } | |
| 4048 } | |
| 4049 | |
| 4050 return result; | |
| 4051 } | |
| 4052 | |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4053 ComplexMatrix linspace (const ComplexColumnVector& x1, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4054 const ComplexColumnVector& x2, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4055 octave_idx_type n) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4056 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4057 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4058 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4059 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4060 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4061 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4062 if (x2.length () != m) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4063 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4064 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4065 NoAlias<ComplexMatrix> retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4066 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4067 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4068 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4069 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4070 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4071 // The last column is not needed while using delta. |
|
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4072 Complex *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4073 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4074 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4075 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4076 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4077 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
|
4078 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4079 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4080 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4081 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4082 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4083 return retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4084 } |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4085 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4086 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4087 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4088 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4089 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4090 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4091 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4092 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4093 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |