Mercurial > hg > octave-nkf
annotate liboctave/CMatrix.cc @ 9665:1dba57e9d08d
use blas_trans_type for xgemm
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Sat, 26 Sep 2009 10:41:07 +0200 |
| parents | 7e5b4de5fbfe |
| children | f80c566bc751 |
| 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 #ifdef HAVE_SYS_TYPES_H |
| 38 #include <sys/types.h> | |
| 39 #endif | |
| 458 | 40 |
| 4669 | 41 #include "Array-util.h" |
| 2828 | 42 #include "CMatrix.h" |
| 1819 | 43 #include "CmplxAEPBAL.h" |
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44 #include "CmplxCHOL.h" |
| 1819 | 45 #include "CmplxSCHUR.h" |
| 740 | 46 #include "CmplxSVD.h" |
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47 #include "DET.h" |
| 1847 | 48 #include "f77-fcn.h" |
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49 #include "functor.h" |
| 458 | 50 #include "lo-error.h" |
| 2354 | 51 #include "lo-ieee.h" |
| 52 #include "lo-mappers.h" | |
| 1968 | 53 #include "lo-utils.h" |
| 1367 | 54 #include "mx-base.h" |
| 2828 | 55 #include "mx-cm-dm.h" |
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56 #include "mx-cm-s.h" |
| 3176 | 57 #include "mx-dm-cm.h" |
| 1367 | 58 #include "mx-inlines.cc" |
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59 #include "mx-op-defs.h" |
| 1650 | 60 #include "oct-cmplx.h" |
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61 #include "oct-fftw.h" |
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62 #include "oct-locbuf.h" |
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63 #include "oct-norm.h" |
| 458 | 64 |
| 65 // Fortran functions we call. | |
| 66 | |
| 67 extern "C" | |
| 68 { | |
| 7477 | 69 F77_RET_T |
| 70 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 71 F77_CONST_CHAR_ARG_DECL, | |
| 72 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 73 const octave_idx_type&, const octave_idx_type&, |
| 74 octave_idx_type& | |
| 75 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 76 |
| 4552 | 77 F77_RET_T |
| 78 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 79 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 80 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 81 F77_CHAR_ARG_LEN_DECL); |
| 82 | |
| 83 F77_RET_T | |
| 84 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 85 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 86 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 87 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 88 F77_CHAR_ARG_LEN_DECL |
| 89 F77_CHAR_ARG_LEN_DECL); | |
| 90 | |
| 91 F77_RET_T | |
| 92 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 93 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 94 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 95 const Complex&, const Complex*, const octave_idx_type&, | |
| 96 const Complex*, const octave_idx_type&, const Complex&, | |
| 97 Complex*, const octave_idx_type& | |
| 4552 | 98 F77_CHAR_ARG_LEN_DECL |
| 99 F77_CHAR_ARG_LEN_DECL); | |
| 100 | |
| 101 F77_RET_T | |
| 5983 | 102 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 103 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 104 const Complex*, const octave_idx_type&, const Complex*, | |
| 105 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 106 F77_CHAR_ARG_LEN_DECL); | |
| 107 | |
| 108 F77_RET_T | |
| 109 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 110 const Complex*, const octave_idx_type&, Complex&); | |
| 111 | |
| 112 F77_RET_T | |
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113 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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114 const Complex*, const octave_idx_type&, Complex&); |
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115 |
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116 F77_RET_T |
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117 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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118 F77_CONST_CHAR_ARG_DECL, |
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119 const octave_idx_type&, const octave_idx_type&, |
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120 const Complex&, const Complex*, const octave_idx_type&, |
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121 const Complex&, Complex*, const octave_idx_type& |
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122 F77_CHAR_ARG_LEN_DECL |
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123 F77_CHAR_ARG_LEN_DECL); |
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124 |
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125 F77_RET_T |
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126 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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127 F77_CONST_CHAR_ARG_DECL, |
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128 const octave_idx_type&, const octave_idx_type&, |
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129 const Complex&, const Complex*, const octave_idx_type&, |
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130 const Complex&, Complex*, const octave_idx_type& |
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131 F77_CHAR_ARG_LEN_DECL |
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132 F77_CHAR_ARG_LEN_DECL); |
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133 |
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134 F77_RET_T |
| 5275 | 135 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 136 octave_idx_type*, octave_idx_type&); | |
| 4552 | 137 |
| 138 F77_RET_T | |
| 139 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 140 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 141 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 142 F77_CHAR_ARG_LEN_DECL); |
| 143 | |
| 144 F77_RET_T | |
| 5275 | 145 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 146 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 147 |
| 148 F77_RET_T | |
| 149 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 150 const octave_idx_type&, Complex*, |
| 151 const octave_idx_type&, const double&, double&, | |
| 152 Complex*, double*, octave_idx_type& | |
| 4552 | 153 F77_CHAR_ARG_LEN_DECL); |
| 154 | |
| 155 F77_RET_T | |
| 7072 | 156 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 157 Complex*, const octave_idx_type&, Complex*, | |
| 158 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 159 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 160 | |
| 161 F77_RET_T | |
| 162 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 163 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 164 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 165 Complex*, const octave_idx_type&, double*, |
| 166 octave_idx_type*, octave_idx_type&); | |
| 458 | 167 |
| 5785 | 168 F77_RET_T |
| 169 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 170 Complex*, const octave_idx_type&, | |
| 171 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 172 | |
| 173 F77_RET_T | |
| 174 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 175 Complex*, const octave_idx_type&, const double&, | |
| 176 double&, Complex*, double*, | |
| 177 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 178 | |
| 179 F77_RET_T | |
| 180 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 181 const octave_idx_type&, const Complex*, | |
| 182 const octave_idx_type&, Complex*, | |
| 183 const octave_idx_type&, octave_idx_type& | |
| 184 F77_CHAR_ARG_LEN_DECL); | |
| 185 | |
| 186 F77_RET_T | |
| 6207 | 187 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 188 const octave_idx_type&, const Complex*, | |
| 189 const octave_idx_type&, octave_idx_type& | |
| 190 F77_CHAR_ARG_LEN_DECL | |
| 191 F77_CHAR_ARG_LEN_DECL); | |
| 192 | |
| 193 F77_RET_T | |
| 5785 | 194 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 195 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 196 const Complex*, const octave_idx_type&, double&, | |
| 197 Complex*, double*, octave_idx_type& | |
| 198 F77_CHAR_ARG_LEN_DECL | |
| 199 F77_CHAR_ARG_LEN_DECL | |
| 200 F77_CHAR_ARG_LEN_DECL); | |
| 201 | |
| 202 F77_RET_T | |
| 203 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 204 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 205 const octave_idx_type&, const Complex*, | |
| 206 const octave_idx_type&, Complex*, | |
| 207 const octave_idx_type&, octave_idx_type& | |
| 208 F77_CHAR_ARG_LEN_DECL | |
| 209 F77_CHAR_ARG_LEN_DECL | |
| 210 F77_CHAR_ARG_LEN_DECL); | |
| 211 | |
| 4552 | 212 F77_RET_T |
| 213 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 214 double&, Complex&, Complex&); | |
| 215 | |
| 216 F77_RET_T | |
| 217 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 218 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 219 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 220 const Complex*, const octave_idx_type&, | |
| 221 const Complex*, const octave_idx_type&, | |
| 222 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 223 F77_CHAR_ARG_LEN_DECL |
| 224 F77_CHAR_ARG_LEN_DECL); | |
| 225 | |
| 226 F77_RET_T | |
| 227 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 228 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 229 const octave_idx_type&, double*, double& | |
| 4552 | 230 F77_CHAR_ARG_LEN_DECL); |
| 458 | 231 } |
| 232 | |
| 2354 | 233 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 234 | |
| 1360 | 235 // Complex Matrix class |
| 458 | 236 |
| 237 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 238 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 239 { |
| 5275 | 240 for (octave_idx_type j = 0; j < cols (); j++) |
| 241 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 242 elem (i, j) = a.elem (i, j); |
| 243 } | |
| 244 | |
| 2349 | 245 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 246 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 247 { | |
| 5275 | 248 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 249 elem (0, i) = rv.elem (i); |
| 250 } | |
| 251 | |
| 252 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 253 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 254 { | |
| 5275 | 255 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 256 elem (i, 0) = cv.elem (i); |
| 257 } | |
| 258 | |
| 458 | 259 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 260 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 261 { |
| 5275 | 262 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 263 elem (i, i) = a.elem (i, i); |
| 264 } | |
| 265 | |
| 2349 | 266 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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267 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 268 { |
| 269 } | |
| 270 | |
| 271 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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272 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 273 { |
| 274 } | |
| 275 | |
| 458 | 276 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 277 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 278 { |
| 5275 | 279 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 280 elem (i, i) = a.elem (i, i); |
| 281 } | |
| 282 | |
| 5775 | 283 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 284 // here? |
| 285 | |
| 2828 | 286 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 287 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 288 { |
| 5275 | 289 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 290 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 291 elem (i, j) = a.elem (i, j); |
| 292 } | |
| 293 | |
| 1574 | 294 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 295 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 296 { |
| 5275 | 297 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 298 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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299 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 300 } |
| 301 | |
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302 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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303 : MArray2<Complex> (re.rows (), re.cols ()) |
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304 { |
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305 if (im.rows () != rows () || im.cols () != cols ()) |
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306 (*current_liboctave_error_handler) ("complex: internal error"); |
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307 |
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308 octave_idx_type nel = numel (); |
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309 for (octave_idx_type i = 0; i < nel; i++) |
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310 xelem (i) = Complex (re(i), im(i)); |
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311 } |
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Jaroslav Hajek <highegg@gmail.com>
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312 |
| 2384 | 313 bool |
| 458 | 314 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 315 { | |
| 316 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 317 return false; |
| 458 | 318 |
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319 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 320 } |
| 321 | |
| 2384 | 322 bool |
| 458 | 323 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 324 { | |
| 325 return !(*this == a); | |
| 326 } | |
| 327 | |
| 2815 | 328 bool |
| 329 ComplexMatrix::is_hermitian (void) const | |
| 330 { | |
| 5275 | 331 octave_idx_type nr = rows (); |
| 332 octave_idx_type nc = cols (); | |
| 2815 | 333 |
| 334 if (is_square () && nr > 0) | |
| 335 { | |
| 5275 | 336 for (octave_idx_type i = 0; i < nr; i++) |
| 337 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 338 if (elem (i, j) != conj (elem (j, i))) |
| 339 return false; | |
| 340 | |
| 341 return true; | |
| 342 } | |
| 343 | |
| 344 return false; | |
| 345 } | |
| 346 | |
| 458 | 347 // destructive insert/delete/reorder operations |
| 348 | |
| 349 ComplexMatrix& | |
| 5275 | 350 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 351 { |
| 5275 | 352 octave_idx_type a_nr = a.rows (); |
| 353 octave_idx_type a_nc = a.cols (); | |
| 1699 | 354 |
| 355 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 356 { |
| 357 (*current_liboctave_error_handler) ("range error for insert"); | |
| 358 return *this; | |
| 359 } | |
| 360 | |
| 4316 | 361 if (a_nr >0 && a_nc > 0) |
| 362 { | |
| 363 make_unique (); | |
| 364 | |
| 5275 | 365 for (octave_idx_type j = 0; j < a_nc; j++) |
| 366 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 367 xelem (r+i, c+j) = a.elem (i, j); |
| 368 } | |
| 458 | 369 |
| 370 return *this; | |
| 371 } | |
| 372 | |
| 373 ComplexMatrix& | |
| 5275 | 374 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 375 { |
| 5275 | 376 octave_idx_type a_len = a.length (); |
| 4316 | 377 |
| 1699 | 378 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 379 { |
| 380 (*current_liboctave_error_handler) ("range error for insert"); | |
| 381 return *this; | |
| 382 } | |
| 383 | |
| 4316 | 384 if (a_len > 0) |
| 385 { | |
| 386 make_unique (); | |
| 387 | |
| 5275 | 388 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 389 xelem (r, c+i) = a.elem (i); |
| 390 } | |
| 458 | 391 |
| 392 return *this; | |
| 393 } | |
| 394 | |
| 395 ComplexMatrix& | |
| 5275 | 396 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 397 { |
| 5275 | 398 octave_idx_type a_len = a.length (); |
| 4316 | 399 |
| 1699 | 400 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 401 { |
| 402 (*current_liboctave_error_handler) ("range error for insert"); | |
| 403 return *this; | |
| 404 } | |
| 405 | |
| 4316 | 406 if (a_len > 0) |
| 407 { | |
| 408 make_unique (); | |
| 409 | |
| 5275 | 410 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 411 xelem (r+i, c) = a.elem (i); |
| 412 } | |
| 458 | 413 |
| 414 return *this; | |
| 415 } | |
| 416 | |
| 417 ComplexMatrix& | |
| 5275 | 418 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 419 { |
| 5275 | 420 octave_idx_type a_nr = a.rows (); |
| 421 octave_idx_type a_nc = a.cols (); | |
| 1699 | 422 |
| 423 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 424 { |
| 425 (*current_liboctave_error_handler) ("range error for insert"); | |
| 426 return *this; | |
| 427 } | |
| 428 | |
| 1699 | 429 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 430 | |
| 5275 | 431 octave_idx_type a_len = a.length (); |
| 4316 | 432 |
| 433 if (a_len > 0) | |
| 434 { | |
| 435 make_unique (); | |
| 436 | |
| 5275 | 437 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 438 xelem (r+i, c+i) = a.elem (i, i); |
| 439 } | |
| 458 | 440 |
| 441 return *this; | |
| 442 } | |
| 443 | |
| 444 ComplexMatrix& | |
| 5275 | 445 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 446 { |
| 1561 | 447 Array2<Complex>::insert (a, r, c); |
| 458 | 448 return *this; |
| 449 } | |
| 450 | |
| 451 ComplexMatrix& | |
| 5275 | 452 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 453 { |
| 5275 | 454 octave_idx_type a_len = a.length (); |
| 1699 | 455 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 456 { |
| 457 (*current_liboctave_error_handler) ("range error for insert"); | |
| 458 return *this; | |
| 459 } | |
| 460 | |
| 5275 | 461 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 462 elem (r, c+i) = a.elem (i); |
| 463 | |
| 464 return *this; | |
| 465 } | |
| 466 | |
| 467 ComplexMatrix& | |
| 5275 | 468 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 469 { |
| 5275 | 470 octave_idx_type a_len = a.length (); |
| 4316 | 471 |
| 1699 | 472 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 473 { |
| 474 (*current_liboctave_error_handler) ("range error for insert"); | |
| 475 return *this; | |
| 476 } | |
| 477 | |
| 4316 | 478 if (a_len > 0) |
| 479 { | |
| 480 make_unique (); | |
| 481 | |
| 5275 | 482 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 483 xelem (r+i, c) = a.elem (i); |
| 484 } | |
| 458 | 485 |
| 486 return *this; | |
| 487 } | |
| 488 | |
| 489 ComplexMatrix& | |
| 5275 | 490 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 491 { |
| 5275 | 492 octave_idx_type a_nr = a.rows (); |
| 493 octave_idx_type a_nc = a.cols (); | |
| 1699 | 494 |
| 495 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 496 { |
| 497 (*current_liboctave_error_handler) ("range error for insert"); | |
| 498 return *this; | |
| 499 } | |
| 500 | |
| 1699 | 501 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 502 | |
| 5275 | 503 octave_idx_type a_len = a.length (); |
| 4316 | 504 |
| 505 if (a_len > 0) | |
| 506 { | |
| 507 make_unique (); | |
| 508 | |
| 5275 | 509 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 510 xelem (r+i, c+i) = a.elem (i, i); |
| 511 } | |
| 458 | 512 |
| 513 return *this; | |
| 514 } | |
| 515 | |
| 516 ComplexMatrix& | |
| 517 ComplexMatrix::fill (double val) | |
| 518 { | |
| 5275 | 519 octave_idx_type nr = rows (); |
| 520 octave_idx_type nc = cols (); | |
| 4316 | 521 |
| 458 | 522 if (nr > 0 && nc > 0) |
| 4316 | 523 { |
| 524 make_unique (); | |
| 525 | |
| 5275 | 526 for (octave_idx_type j = 0; j < nc; j++) |
| 527 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 528 xelem (i, j) = val; |
| 529 } | |
| 458 | 530 |
| 531 return *this; | |
| 532 } | |
| 533 | |
| 534 ComplexMatrix& | |
| 535 ComplexMatrix::fill (const Complex& val) | |
| 536 { | |
| 5275 | 537 octave_idx_type nr = rows (); |
| 538 octave_idx_type nc = cols (); | |
| 4316 | 539 |
| 458 | 540 if (nr > 0 && nc > 0) |
| 4316 | 541 { |
| 542 make_unique (); | |
| 543 | |
| 5275 | 544 for (octave_idx_type j = 0; j < nc; j++) |
| 545 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 546 xelem (i, j) = val; |
| 547 } | |
| 458 | 548 |
| 549 return *this; | |
| 550 } | |
| 551 | |
| 552 ComplexMatrix& | |
| 5275 | 553 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 554 { |
| 5275 | 555 octave_idx_type nr = rows (); |
| 556 octave_idx_type nc = cols (); | |
| 4316 | 557 |
| 458 | 558 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 559 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 560 { | |
| 561 (*current_liboctave_error_handler) ("range error for fill"); | |
| 562 return *this; | |
| 563 } | |
| 564 | |
| 5275 | 565 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 566 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 567 |
| 4316 | 568 if (r2 >= r1 && c2 >= c1) |
| 569 { | |
| 570 make_unique (); | |
| 571 | |
| 5275 | 572 for (octave_idx_type j = c1; j <= c2; j++) |
| 573 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 574 xelem (i, j) = val; |
| 575 } | |
| 458 | 576 |
| 577 return *this; | |
| 578 } | |
| 579 | |
| 580 ComplexMatrix& | |
| 5275 | 581 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 582 { |
| 5275 | 583 octave_idx_type nr = rows (); |
| 584 octave_idx_type nc = cols (); | |
| 4316 | 585 |
| 458 | 586 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 587 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 588 { | |
| 589 (*current_liboctave_error_handler) ("range error for fill"); | |
| 590 return *this; | |
| 591 } | |
| 592 | |
| 5275 | 593 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 594 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 595 |
| 4316 | 596 if (r2 >= r1 && c2 >=c1) |
| 597 { | |
| 598 make_unique (); | |
| 599 | |
| 5275 | 600 for (octave_idx_type j = c1; j <= c2; j++) |
| 601 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 602 xelem (i, j) = val; |
| 603 } | |
| 458 | 604 |
| 605 return *this; | |
| 606 } | |
| 607 | |
| 608 ComplexMatrix | |
| 609 ComplexMatrix::append (const Matrix& a) const | |
| 610 { | |
| 5275 | 611 octave_idx_type nr = rows (); |
| 612 octave_idx_type nc = cols (); | |
| 458 | 613 if (nr != a.rows ()) |
| 614 { | |
| 615 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 616 return *this; | |
| 617 } | |
| 618 | |
| 5275 | 619 octave_idx_type nc_insert = nc; |
| 458 | 620 ComplexMatrix retval (nr, nc + a.cols ()); |
| 621 retval.insert (*this, 0, 0); | |
| 622 retval.insert (a, 0, nc_insert); | |
| 623 return retval; | |
| 624 } | |
| 625 | |
| 626 ComplexMatrix | |
| 627 ComplexMatrix::append (const RowVector& a) const | |
| 628 { | |
| 5275 | 629 octave_idx_type nr = rows (); |
| 630 octave_idx_type nc = cols (); | |
| 458 | 631 if (nr != 1) |
| 632 { | |
| 633 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 634 return *this; | |
| 635 } | |
| 636 | |
| 5275 | 637 octave_idx_type nc_insert = nc; |
| 458 | 638 ComplexMatrix retval (nr, nc + a.length ()); |
| 639 retval.insert (*this, 0, 0); | |
| 640 retval.insert (a, 0, nc_insert); | |
| 641 return retval; | |
| 642 } | |
| 643 | |
| 644 ComplexMatrix | |
| 645 ComplexMatrix::append (const ColumnVector& a) const | |
| 646 { | |
| 5275 | 647 octave_idx_type nr = rows (); |
| 648 octave_idx_type nc = cols (); | |
| 458 | 649 if (nr != a.length ()) |
| 650 { | |
| 651 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 652 return *this; | |
| 653 } | |
| 654 | |
| 5275 | 655 octave_idx_type nc_insert = nc; |
| 458 | 656 ComplexMatrix retval (nr, nc + 1); |
| 657 retval.insert (*this, 0, 0); | |
| 658 retval.insert (a, 0, nc_insert); | |
| 659 return retval; | |
| 660 } | |
| 661 | |
| 662 ComplexMatrix | |
| 663 ComplexMatrix::append (const DiagMatrix& a) const | |
| 664 { | |
| 5275 | 665 octave_idx_type nr = rows (); |
| 666 octave_idx_type nc = cols (); | |
| 458 | 667 if (nr != a.rows ()) |
| 668 { | |
| 669 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 670 return *this; | |
| 671 } | |
| 672 | |
| 5275 | 673 octave_idx_type nc_insert = nc; |
| 458 | 674 ComplexMatrix retval (nr, nc + a.cols ()); |
| 675 retval.insert (*this, 0, 0); | |
| 676 retval.insert (a, 0, nc_insert); | |
| 677 return retval; | |
| 678 } | |
| 679 | |
| 680 ComplexMatrix | |
| 681 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 682 { | |
| 5275 | 683 octave_idx_type nr = rows (); |
| 684 octave_idx_type nc = cols (); | |
| 458 | 685 if (nr != a.rows ()) |
| 686 { | |
| 687 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 688 return *this; | |
| 689 } | |
| 690 | |
| 5275 | 691 octave_idx_type nc_insert = nc; |
| 458 | 692 ComplexMatrix retval (nr, nc + a.cols ()); |
| 693 retval.insert (*this, 0, 0); | |
| 694 retval.insert (a, 0, nc_insert); | |
| 695 return retval; | |
| 696 } | |
| 697 | |
| 698 ComplexMatrix | |
| 699 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 700 { | |
| 5275 | 701 octave_idx_type nr = rows (); |
| 702 octave_idx_type nc = cols (); | |
| 458 | 703 if (nr != 1) |
| 704 { | |
| 705 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 706 return *this; | |
| 707 } | |
| 708 | |
| 5275 | 709 octave_idx_type nc_insert = nc; |
| 458 | 710 ComplexMatrix retval (nr, nc + a.length ()); |
| 711 retval.insert (*this, 0, 0); | |
| 712 retval.insert (a, 0, nc_insert); | |
| 713 return retval; | |
| 714 } | |
| 715 | |
| 716 ComplexMatrix | |
| 717 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 718 { | |
| 5275 | 719 octave_idx_type nr = rows (); |
| 720 octave_idx_type nc = cols (); | |
| 458 | 721 if (nr != a.length ()) |
| 722 { | |
| 723 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 724 return *this; | |
| 725 } | |
| 726 | |
| 5275 | 727 octave_idx_type nc_insert = nc; |
| 458 | 728 ComplexMatrix retval (nr, nc + 1); |
| 729 retval.insert (*this, 0, 0); | |
| 730 retval.insert (a, 0, nc_insert); | |
| 731 return retval; | |
| 732 } | |
| 733 | |
| 734 ComplexMatrix | |
| 735 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 736 { | |
| 5275 | 737 octave_idx_type nr = rows (); |
| 738 octave_idx_type nc = cols (); | |
| 458 | 739 if (nr != a.rows ()) |
| 740 { | |
| 741 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 742 return *this; | |
| 743 } | |
| 744 | |
| 5275 | 745 octave_idx_type nc_insert = nc; |
| 458 | 746 ComplexMatrix retval (nr, nc + a.cols ()); |
| 747 retval.insert (*this, 0, 0); | |
| 748 retval.insert (a, 0, nc_insert); | |
| 749 return retval; | |
| 750 } | |
| 751 | |
| 752 ComplexMatrix | |
| 753 ComplexMatrix::stack (const Matrix& a) const | |
| 754 { | |
| 5275 | 755 octave_idx_type nr = rows (); |
| 756 octave_idx_type nc = cols (); | |
| 458 | 757 if (nc != a.cols ()) |
| 758 { | |
| 759 (*current_liboctave_error_handler) | |
| 760 ("column dimension mismatch for stack"); | |
| 761 return *this; | |
| 762 } | |
| 763 | |
| 5275 | 764 octave_idx_type nr_insert = nr; |
| 458 | 765 ComplexMatrix retval (nr + a.rows (), nc); |
| 766 retval.insert (*this, 0, 0); | |
| 767 retval.insert (a, nr_insert, 0); | |
| 768 return retval; | |
| 769 } | |
| 770 | |
| 771 ComplexMatrix | |
| 772 ComplexMatrix::stack (const RowVector& a) const | |
| 773 { | |
| 5275 | 774 octave_idx_type nr = rows (); |
| 775 octave_idx_type nc = cols (); | |
| 458 | 776 if (nc != a.length ()) |
| 777 { | |
| 778 (*current_liboctave_error_handler) | |
| 779 ("column dimension mismatch for stack"); | |
| 780 return *this; | |
| 781 } | |
| 782 | |
| 5275 | 783 octave_idx_type nr_insert = nr; |
| 458 | 784 ComplexMatrix retval (nr + 1, nc); |
| 785 retval.insert (*this, 0, 0); | |
| 786 retval.insert (a, nr_insert, 0); | |
| 787 return retval; | |
| 788 } | |
| 789 | |
| 790 ComplexMatrix | |
| 791 ComplexMatrix::stack (const ColumnVector& a) const | |
| 792 { | |
| 5275 | 793 octave_idx_type nr = rows (); |
| 794 octave_idx_type nc = cols (); | |
| 458 | 795 if (nc != 1) |
| 796 { | |
| 797 (*current_liboctave_error_handler) | |
| 798 ("column dimension mismatch for stack"); | |
| 799 return *this; | |
| 800 } | |
| 801 | |
| 5275 | 802 octave_idx_type nr_insert = nr; |
| 458 | 803 ComplexMatrix retval (nr + a.length (), nc); |
| 804 retval.insert (*this, 0, 0); | |
| 805 retval.insert (a, nr_insert, 0); | |
| 806 return retval; | |
| 807 } | |
| 808 | |
| 809 ComplexMatrix | |
| 810 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 811 { | |
| 5275 | 812 octave_idx_type nr = rows (); |
| 813 octave_idx_type nc = cols (); | |
| 458 | 814 if (nc != a.cols ()) |
| 815 { | |
| 816 (*current_liboctave_error_handler) | |
| 817 ("column dimension mismatch for stack"); | |
| 818 return *this; | |
| 819 } | |
| 820 | |
| 5275 | 821 octave_idx_type nr_insert = nr; |
| 458 | 822 ComplexMatrix retval (nr + a.rows (), nc); |
| 823 retval.insert (*this, 0, 0); | |
| 824 retval.insert (a, nr_insert, 0); | |
| 825 return retval; | |
| 826 } | |
| 827 | |
| 828 ComplexMatrix | |
| 829 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 830 { | |
| 5275 | 831 octave_idx_type nr = rows (); |
| 832 octave_idx_type nc = cols (); | |
| 458 | 833 if (nc != a.cols ()) |
| 834 { | |
| 835 (*current_liboctave_error_handler) | |
| 836 ("column dimension mismatch for stack"); | |
| 837 return *this; | |
| 838 } | |
| 839 | |
| 5275 | 840 octave_idx_type nr_insert = nr; |
| 458 | 841 ComplexMatrix retval (nr + a.rows (), nc); |
| 842 retval.insert (*this, 0, 0); | |
| 843 retval.insert (a, nr_insert, 0); | |
| 844 return retval; | |
| 845 } | |
| 846 | |
| 847 ComplexMatrix | |
| 848 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 849 { | |
| 5275 | 850 octave_idx_type nr = rows (); |
| 851 octave_idx_type nc = cols (); | |
| 458 | 852 if (nc != a.length ()) |
| 853 { | |
| 854 (*current_liboctave_error_handler) | |
| 855 ("column dimension mismatch for stack"); | |
| 856 return *this; | |
| 857 } | |
| 858 | |
| 5275 | 859 octave_idx_type nr_insert = nr; |
| 458 | 860 ComplexMatrix retval (nr + 1, nc); |
| 861 retval.insert (*this, 0, 0); | |
| 862 retval.insert (a, nr_insert, 0); | |
| 863 return retval; | |
| 864 } | |
| 865 | |
| 866 ComplexMatrix | |
| 867 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 868 { | |
| 5275 | 869 octave_idx_type nr = rows (); |
| 870 octave_idx_type nc = cols (); | |
| 458 | 871 if (nc != 1) |
| 872 { | |
| 873 (*current_liboctave_error_handler) | |
| 874 ("column dimension mismatch for stack"); | |
| 875 return *this; | |
| 876 } | |
| 877 | |
| 5275 | 878 octave_idx_type nr_insert = nr; |
| 458 | 879 ComplexMatrix retval (nr + a.length (), nc); |
| 880 retval.insert (*this, 0, 0); | |
| 881 retval.insert (a, nr_insert, 0); | |
| 882 return retval; | |
| 883 } | |
| 884 | |
| 885 ComplexMatrix | |
| 886 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 887 { | |
| 5275 | 888 octave_idx_type nr = rows (); |
| 889 octave_idx_type nc = cols (); | |
| 458 | 890 if (nc != a.cols ()) |
| 891 { | |
| 892 (*current_liboctave_error_handler) | |
| 893 ("column dimension mismatch for stack"); | |
| 894 return *this; | |
| 895 } | |
| 896 | |
| 5275 | 897 octave_idx_type nr_insert = nr; |
| 458 | 898 ComplexMatrix retval (nr + a.rows (), nc); |
| 899 retval.insert (*this, 0, 0); | |
| 900 retval.insert (a, nr_insert, 0); | |
| 901 return retval; | |
| 902 } | |
| 903 | |
| 904 ComplexMatrix | |
| 905 conj (const ComplexMatrix& a) | |
| 906 { | |
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907 return ComplexMatrix (mx_inline_conj_dup (a.data (), a.length ()), |
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|
908 a.rows (), a.cols ()); |
| 458 | 909 } |
| 910 | |
| 911 // resize is the destructive equivalent for this one | |
| 912 | |
| 913 ComplexMatrix | |
| 5275 | 914 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 915 { |
| 5275 | 916 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 917 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 918 | |
| 919 octave_idx_type new_r = r2 - r1 + 1; | |
| 920 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 921 |
| 922 ComplexMatrix result (new_r, new_c); | |
| 923 | |
| 5275 | 924 for (octave_idx_type j = 0; j < new_c; j++) |
| 925 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 926 result.xelem (i, j) = elem (r1+i, c1+j); |
| 927 | |
| 928 return result; | |
| 929 } | |
| 930 | |
| 931 ComplexMatrix | |
| 5275 | 932 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 933 { |
| 934 ComplexMatrix result (nr, nc); | |
| 935 | |
| 5275 | 936 for (octave_idx_type j = 0; j < nc; j++) |
| 937 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 938 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 939 |
| 940 return result; | |
| 941 } | |
| 942 | |
| 943 // extract row or column i. | |
| 944 | |
| 945 ComplexRowVector | |
| 5275 | 946 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 947 { |
|
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948 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 949 } |
| 950 | |
| 951 ComplexColumnVector | |
| 5275 | 952 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 953 { |
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954 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 955 } |
| 956 | |
| 957 ComplexMatrix | |
| 958 ComplexMatrix::inverse (void) const | |
| 959 { | |
| 5275 | 960 octave_idx_type info; |
| 7788 | 961 double rcon; |
| 6207 | 962 MatrixType mattype (*this); |
| 7788 | 963 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 964 } |
| 965 | |
| 966 ComplexMatrix | |
| 6479 | 967 ComplexMatrix::inverse (octave_idx_type& info) const |
| 968 { | |
| 7788 | 969 double rcon; |
| 6479 | 970 MatrixType mattype (*this); |
| 7788 | 971 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 972 } |
| 973 | |
| 974 ComplexMatrix | |
| 7788 | 975 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 976 int calc_cond) const |
| 977 { | |
| 978 MatrixType mattype (*this); | |
| 7788 | 979 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 980 } |
| 981 | |
| 982 ComplexMatrix | |
| 6207 | 983 ComplexMatrix::inverse (MatrixType &mattype) const |
| 984 { | |
| 985 octave_idx_type info; | |
| 7788 | 986 double rcon; |
| 987 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 988 } |
| 989 | |
| 990 ComplexMatrix | |
| 991 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 992 { | |
| 7788 | 993 double rcon; |
| 994 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 995 } |
| 996 | |
| 997 ComplexMatrix | |
| 6207 | 998 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 999 double& rcon, int force, int calc_cond) const |
| 458 | 1000 { |
| 6207 | 1001 ComplexMatrix retval; |
| 1002 | |
| 1003 octave_idx_type nr = rows (); | |
| 1004 octave_idx_type nc = cols (); | |
| 1005 | |
| 1006 if (nr != nc || nr == 0 || nc == 0) | |
| 1007 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1008 else | |
| 1009 { | |
| 1010 int typ = mattype.type (); | |
| 1011 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1012 char udiag = 'N'; | |
| 1013 retval = *this; | |
| 1014 Complex *tmp_data = retval.fortran_vec (); | |
| 1015 | |
| 1016 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1017 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1018 nr, tmp_data, nr, info | |
| 1019 F77_CHAR_ARG_LEN (1) | |
| 1020 F77_CHAR_ARG_LEN (1))); | |
| 1021 | |
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1022 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1023 rcon = 0.0; |
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1024 if (info != 0) |
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1025 info = -1; |
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1026 else if (calc_cond) |
| 6207 | 1027 { |
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1028 octave_idx_type ztrcon_info = 0; |
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1029 char job = '1'; |
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1030 |
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1031 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1032 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1033 |
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1034 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1035 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1036 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1037 nr, tmp_data, nr, rcon, |
|
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1038 cwork, rwork, ztrcon_info |
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1039 F77_CHAR_ARG_LEN (1) |
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1040 F77_CHAR_ARG_LEN (1) |
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1041 F77_CHAR_ARG_LEN (1))); |
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1042 |
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1043 if (ztrcon_info != 0) |
| 6207 | 1044 info = -1; |
| 1045 } | |
| 1046 | |
| 1047 if (info == -1 && ! force) | |
| 1048 retval = *this; // Restore matrix contents. | |
| 1049 } | |
| 1050 | |
| 1051 return retval; | |
| 458 | 1052 } |
| 1053 | |
| 1054 ComplexMatrix | |
| 6207 | 1055 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1056 double& rcon, int force, int calc_cond) const |
| 458 | 1057 { |
| 1948 | 1058 ComplexMatrix retval; |
| 1059 | |
| 5275 | 1060 octave_idx_type nr = rows (); |
| 1061 octave_idx_type nc = cols (); | |
| 1948 | 1062 |
| 458 | 1063 if (nr != nc) |
| 1948 | 1064 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1065 else |
| 1066 { | |
| 5275 | 1067 Array<octave_idx_type> ipvt (nr); |
| 1068 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1069 |
| 1070 retval = *this; | |
| 1071 Complex *tmp_data = retval.fortran_vec (); | |
| 1072 | |
| 4329 | 1073 Array<Complex> z(1); |
| 5275 | 1074 octave_idx_type lwork = -1; |
| 4330 | 1075 |
| 1076 // Query the optimum work array size. | |
| 4329 | 1077 |
| 1078 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1079 z.fortran_vec (), lwork, info)); | |
| 1080 | |
| 5315 | 1081 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1082 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1083 z.resize (lwork); | |
| 1084 Complex *pz = z.fortran_vec (); | |
| 1085 | |
| 1086 info = 0; | |
| 1087 | |
| 4330 | 1088 // Calculate the norm of the matrix, for later use. |
| 4329 | 1089 double anorm; |
| 1090 if (calc_cond) | |
| 5275 | 1091 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1092 |
| 1093 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1094 |
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1095 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1096 rcon = 0.0; |
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1097 if (info != 0) |
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1098 info = -1; |
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1099 else if (calc_cond) |
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1100 { |
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1101 // Now calculate the condition number for non-singular matrix. |
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1102 octave_idx_type zgecon_info = 0; |
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1103 char job = '1'; |
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1104 Array<double> rz (2 * nc); |
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1105 double *prz = rz.fortran_vec (); |
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1106 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1107 nc, tmp_data, nr, anorm, |
| 7788 | 1108 rcon, pz, prz, zgecon_info |
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1109 F77_CHAR_ARG_LEN (1))); |
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1110 |
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1111 if (zgecon_info != 0) |
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1112 info = -1; |
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1113 } |
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1114 |
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1115 if (info == -1 && ! force) |
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1116 retval = *this; // Restore contents. |
| 1948 | 1117 else |
| 1118 { | |
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1119 octave_idx_type zgetri_info = 0; |
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1120 |
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1121 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1122 pz, lwork, zgetri_info)); |
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1123 |
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1124 if (zgetri_info != 0) |
| 1948 | 1125 info = -1; |
| 1126 } | |
| 6207 | 1127 |
| 1128 if (info != 0) | |
| 1129 mattype.mark_as_rectangular(); | |
| 458 | 1130 } |
| 4329 | 1131 |
| 1948 | 1132 return retval; |
| 458 | 1133 } |
| 1134 | |
| 1135 ComplexMatrix | |
| 6207 | 1136 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1137 double& rcon, int force, int calc_cond) const |
| 6207 | 1138 { |
| 1139 int typ = mattype.type (false); | |
| 1140 ComplexMatrix ret; | |
| 1141 | |
| 1142 if (typ == MatrixType::Unknown) | |
| 1143 typ = mattype.type (*this); | |
| 1144 | |
| 1145 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1146 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1147 else |
| 6207 | 1148 { |
| 1149 if (mattype.is_hermitian ()) | |
| 1150 { | |
| 6486 | 1151 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1152 if (info == 0) |
| 6486 | 1153 { |
| 1154 if (calc_cond) | |
| 7788 | 1155 rcon = chol.rcond(); |
| 6486 | 1156 else |
| 7788 | 1157 rcon = 1.0; |
| 6486 | 1158 ret = chol.inverse (); |
| 1159 } | |
| 6207 | 1160 else |
| 1161 mattype.mark_as_unsymmetric (); | |
| 1162 } | |
| 1163 | |
| 1164 if (!mattype.is_hermitian ()) | |
| 7788 | 1165 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1166 | |
| 1167 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1168 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1169 } |
| 1170 | |
| 1171 return ret; | |
| 1172 } | |
| 1173 | |
| 1174 ComplexMatrix | |
| 4384 | 1175 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1176 { |
| 1549 | 1177 ComplexMatrix retval; |
| 1178 | |
| 3480 | 1179 ComplexSVD result (*this, SVD::economy); |
| 740 | 1180 |
| 1181 DiagMatrix S = result.singular_values (); | |
| 1182 ComplexMatrix U = result.left_singular_matrix (); | |
| 1183 ComplexMatrix V = result.right_singular_matrix (); | |
| 1184 | |
| 1185 ColumnVector sigma = S.diag (); | |
| 1186 | |
| 5275 | 1187 octave_idx_type r = sigma.length () - 1; |
| 1188 octave_idx_type nr = rows (); | |
| 1189 octave_idx_type nc = cols (); | |
| 740 | 1190 |
| 1191 if (tol <= 0.0) | |
| 1192 { | |
| 1193 if (nr > nc) | |
| 1194 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1195 else | |
| 1196 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1197 } | |
| 1198 | |
| 1199 while (r >= 0 && sigma.elem (r) < tol) | |
| 1200 r--; | |
| 1201 | |
| 1202 if (r < 0) | |
| 1549 | 1203 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1204 else |
| 1205 { | |
| 1206 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1207 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1208 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1209 retval = Vr * D * Ur.hermitian (); |
| 740 | 1210 } |
| 1549 | 1211 |
| 1212 return retval; | |
| 740 | 1213 } |
| 1214 | |
|
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1215 #if defined (HAVE_FFTW) |
| 3827 | 1216 |
| 1217 ComplexMatrix | |
| 1218 ComplexMatrix::fourier (void) const | |
| 1219 { | |
| 1220 size_t nr = rows (); | |
| 1221 size_t nc = cols (); | |
| 1222 | |
| 1223 ComplexMatrix retval (nr, nc); | |
| 1224 | |
| 1225 size_t npts, nsamples; | |
| 1226 | |
| 1227 if (nr == 1 || nc == 1) | |
| 1228 { | |
| 1229 npts = nr > nc ? nr : nc; | |
| 1230 nsamples = 1; | |
| 1231 } | |
| 1232 else | |
| 1233 { | |
| 1234 npts = nr; | |
| 1235 nsamples = nc; | |
| 1236 } | |
| 1237 | |
| 1238 const Complex *in (data ()); | |
| 1239 Complex *out (retval.fortran_vec ()); | |
| 1240 | |
| 4773 | 1241 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1242 |
| 1243 return retval; | |
| 1244 } | |
| 1245 | |
| 1246 ComplexMatrix | |
| 1247 ComplexMatrix::ifourier (void) const | |
| 1248 { | |
| 1249 size_t nr = rows (); | |
| 1250 size_t nc = cols (); | |
| 1251 | |
| 1252 ComplexMatrix retval (nr, nc); | |
| 1253 | |
| 1254 size_t npts, nsamples; | |
| 1255 | |
| 1256 if (nr == 1 || nc == 1) | |
| 1257 { | |
| 1258 npts = nr > nc ? nr : nc; | |
| 1259 nsamples = 1; | |
| 1260 } | |
| 1261 else | |
| 1262 { | |
| 1263 npts = nr; | |
| 1264 nsamples = nc; | |
| 1265 } | |
| 1266 | |
| 1267 const Complex *in (data ()); | |
| 1268 Complex *out (retval.fortran_vec ()); | |
| 1269 | |
| 4773 | 1270 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1271 |
| 1272 return retval; | |
| 1273 } | |
| 1274 | |
| 1275 ComplexMatrix | |
| 1276 ComplexMatrix::fourier2d (void) const | |
| 1277 { | |
| 4773 | 1278 dim_vector dv(rows (), cols ()); |
| 1279 | |
| 1280 ComplexMatrix retval (rows (), cols ()); | |
| 1281 const Complex *in (data ()); | |
| 1282 Complex *out (retval.fortran_vec ()); | |
| 1283 | |
| 1284 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1285 |
| 1286 return retval; | |
| 1287 } | |
| 1288 | |
| 1289 ComplexMatrix | |
| 1290 ComplexMatrix::ifourier2d (void) const | |
| 1291 { | |
| 4773 | 1292 dim_vector dv(rows (), cols ()); |
| 1293 | |
| 1294 ComplexMatrix retval (rows (), cols ()); | |
| 1295 const Complex *in (data ()); | |
| 1296 Complex *out (retval.fortran_vec ()); | |
| 1297 | |
| 1298 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1299 |
| 1300 return retval; | |
| 1301 } | |
| 1302 | |
| 1303 #else | |
| 1304 | |
|
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1305 extern "C" |
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1306 { |
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1307 // Note that the original complex fft routines were not written for |
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1308 // double complex arguments. They have been modified by adding an |
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1309 // implicit double precision (a-h,o-z) statement at the beginning of |
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1310 // each subroutine. |
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1311 |
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1312 F77_RET_T |
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1313 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1314 |
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1315 F77_RET_T |
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1316 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1317 |
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1318 F77_RET_T |
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1319 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1320 } |
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1321 |
| 740 | 1322 ComplexMatrix |
| 458 | 1323 ComplexMatrix::fourier (void) const |
| 1324 { | |
| 1948 | 1325 ComplexMatrix retval; |
| 1326 | |
| 5275 | 1327 octave_idx_type nr = rows (); |
| 1328 octave_idx_type nc = cols (); | |
| 1329 | |
| 1330 octave_idx_type npts, nsamples; | |
| 1948 | 1331 |
| 458 | 1332 if (nr == 1 || nc == 1) |
| 1333 { | |
| 1334 npts = nr > nc ? nr : nc; | |
| 1335 nsamples = 1; | |
| 1336 } | |
| 1337 else | |
| 1338 { | |
| 1339 npts = nr; | |
| 1340 nsamples = nc; | |
| 1341 } | |
| 1342 | |
| 5275 | 1343 octave_idx_type nn = 4*npts+15; |
| 1948 | 1344 |
| 1345 Array<Complex> wsave (nn); | |
| 1346 Complex *pwsave = wsave.fortran_vec (); | |
| 1347 | |
| 1348 retval = *this; | |
| 1349 Complex *tmp_data = retval.fortran_vec (); | |
| 1350 | |
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1351 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1352 |
| 5275 | 1353 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1354 { |
| 1355 OCTAVE_QUIT; | |
| 1356 | |
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1357 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1358 } |
| 1948 | 1359 |
| 1360 return retval; | |
| 458 | 1361 } |
| 1362 | |
| 1363 ComplexMatrix | |
| 1364 ComplexMatrix::ifourier (void) const | |
| 1365 { | |
| 1948 | 1366 ComplexMatrix retval; |
| 1367 | |
| 5275 | 1368 octave_idx_type nr = rows (); |
| 1369 octave_idx_type nc = cols (); | |
| 1370 | |
| 1371 octave_idx_type npts, nsamples; | |
| 1948 | 1372 |
| 458 | 1373 if (nr == 1 || nc == 1) |
| 1374 { | |
| 1375 npts = nr > nc ? nr : nc; | |
| 1376 nsamples = 1; | |
| 1377 } | |
| 1378 else | |
| 1379 { | |
| 1380 npts = nr; | |
| 1381 nsamples = nc; | |
| 1382 } | |
| 1383 | |
| 5275 | 1384 octave_idx_type nn = 4*npts+15; |
| 1948 | 1385 |
| 1386 Array<Complex> wsave (nn); | |
| 1387 Complex *pwsave = wsave.fortran_vec (); | |
| 1388 | |
| 1389 retval = *this; | |
| 1390 Complex *tmp_data = retval.fortran_vec (); | |
| 1391 | |
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1392 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1393 |
| 5275 | 1394 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1395 { |
| 1396 OCTAVE_QUIT; | |
| 1397 | |
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1398 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1399 } |
| 458 | 1400 |
| 5275 | 1401 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1402 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1403 |
| 1948 | 1404 return retval; |
| 458 | 1405 } |
| 1406 | |
| 677 | 1407 ComplexMatrix |
| 1408 ComplexMatrix::fourier2d (void) const | |
| 1409 { | |
| 1948 | 1410 ComplexMatrix retval; |
| 1411 | |
| 5275 | 1412 octave_idx_type nr = rows (); |
| 1413 octave_idx_type nc = cols (); | |
| 1414 | |
| 1415 octave_idx_type npts, nsamples; | |
| 1948 | 1416 |
| 677 | 1417 if (nr == 1 || nc == 1) |
| 1418 { | |
| 1419 npts = nr > nc ? nr : nc; | |
| 1420 nsamples = 1; | |
| 1421 } | |
| 1422 else | |
| 1423 { | |
| 1424 npts = nr; | |
| 1425 nsamples = nc; | |
| 1426 } | |
| 1427 | |
| 5275 | 1428 octave_idx_type nn = 4*npts+15; |
| 1948 | 1429 |
| 1430 Array<Complex> wsave (nn); | |
| 1431 Complex *pwsave = wsave.fortran_vec (); | |
| 1432 | |
| 1433 retval = *this; | |
| 1434 Complex *tmp_data = retval.fortran_vec (); | |
| 1435 | |
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1436 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1437 |
| 5275 | 1438 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1439 { |
| 1440 OCTAVE_QUIT; | |
| 1441 | |
|
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1442 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1443 } |
| 677 | 1444 |
| 1445 npts = nc; | |
| 1446 nsamples = nr; | |
| 1447 nn = 4*npts+15; | |
| 1948 | 1448 |
| 1449 wsave.resize (nn); | |
| 1450 pwsave = wsave.fortran_vec (); | |
| 1451 | |
| 4773 | 1452 Array<Complex> tmp (npts); |
| 1453 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1454 |
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1455 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1456 |
| 5275 | 1457 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1458 { |
| 4153 | 1459 OCTAVE_QUIT; |
| 1460 | |
| 5275 | 1461 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1462 prow[i] = tmp_data[i*nr + j]; |
| 1463 | |
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1464 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1465 |
| 5275 | 1466 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1467 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1468 } |
| 1469 | |
| 1948 | 1470 return retval; |
| 677 | 1471 } |
| 1472 | |
| 1473 ComplexMatrix | |
| 1474 ComplexMatrix::ifourier2d (void) const | |
| 1475 { | |
| 1948 | 1476 ComplexMatrix retval; |
| 1477 | |
| 5275 | 1478 octave_idx_type nr = rows (); |
| 1479 octave_idx_type nc = cols (); | |
| 1480 | |
| 1481 octave_idx_type npts, nsamples; | |
| 1948 | 1482 |
| 677 | 1483 if (nr == 1 || nc == 1) |
| 1484 { | |
| 1485 npts = nr > nc ? nr : nc; | |
| 1486 nsamples = 1; | |
| 1487 } | |
| 1488 else | |
| 1489 { | |
| 1490 npts = nr; | |
| 1491 nsamples = nc; | |
| 1492 } | |
| 1493 | |
| 5275 | 1494 octave_idx_type nn = 4*npts+15; |
| 1948 | 1495 |
| 1496 Array<Complex> wsave (nn); | |
| 1497 Complex *pwsave = wsave.fortran_vec (); | |
| 1498 | |
| 1499 retval = *this; | |
| 1500 Complex *tmp_data = retval.fortran_vec (); | |
| 1501 | |
|
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|
1502 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1503 |
| 5275 | 1504 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1505 { |
| 1506 OCTAVE_QUIT; | |
| 1507 | |
|
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1508 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1509 } |
| 677 | 1510 |
| 5275 | 1511 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1512 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1513 |
| 1514 npts = nc; | |
| 1515 nsamples = nr; | |
| 1516 nn = 4*npts+15; | |
| 1948 | 1517 |
| 1518 wsave.resize (nn); | |
| 1519 pwsave = wsave.fortran_vec (); | |
| 1520 | |
| 4773 | 1521 Array<Complex> tmp (npts); |
| 1522 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1523 |
|
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1524 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1525 |
| 5275 | 1526 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1527 { |
| 4153 | 1528 OCTAVE_QUIT; |
| 1529 | |
| 5275 | 1530 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1531 prow[i] = tmp_data[i*nr + j]; |
| 1532 | |
|
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1533 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1534 |
| 5275 | 1535 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1536 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1537 } |
| 1538 | |
| 1948 | 1539 return retval; |
| 677 | 1540 } |
| 1541 | |
| 3827 | 1542 #endif |
| 1543 | |
| 458 | 1544 ComplexDET |
| 1545 ComplexMatrix::determinant (void) const | |
| 1546 { | |
| 5275 | 1547 octave_idx_type info; |
| 7788 | 1548 double rcon; |
| 1549 return determinant (info, rcon, 0); | |
| 458 | 1550 } |
| 1551 | |
| 1552 ComplexDET | |
| 5275 | 1553 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1554 { |
| 7788 | 1555 double rcon; |
| 1556 return determinant (info, rcon, 0); | |
| 458 | 1557 } |
| 1558 | |
| 1559 ComplexDET | |
| 7788 | 1560 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1561 { |
|
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|
1562 MatrixType mattype (*this); |
|
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1563 return determinant (mattype, info, rcon, calc_cond); |
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1564 } |
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1565 |
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|
1566 ComplexDET |
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1567 ComplexMatrix::determinant (MatrixType& mattype, |
| 8806 | 1568 octave_idx_type& info, double& rcon, |
| 1569 int calc_cond) const | |
|
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1570 { |
|
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|
1571 ComplexDET retval (1.0); |
| 458 | 1572 |
| 5275 | 1573 octave_idx_type nr = rows (); |
| 1574 octave_idx_type nc = cols (); | |
| 458 | 1575 |
|
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1576 if (nr != nc) |
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|
1577 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1578 else |
| 1579 { | |
| 8806 | 1580 volatile int typ = mattype.type (); |
|
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1581 |
|
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1582 if (typ == MatrixType::Unknown) |
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1583 typ = mattype.type (*this); |
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1584 |
|
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1585 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1586 { |
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1587 for (octave_idx_type i = 0; i < nc; i++) |
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1588 retval *= elem (i,i); |
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1589 } |
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1590 else if (typ == MatrixType::Hermitian) |
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1591 { |
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1592 ComplexMatrix atmp = *this; |
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1593 Complex *tmp_data = atmp.fortran_vec (); |
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1594 |
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1595 info = 0; |
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1596 double anorm = 0; |
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|
1597 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1598 |
|
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|
1599 |
|
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|
1600 char job = 'L'; |
|
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|
1601 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1602 tmp_data, nr, info |
|
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|
1603 F77_CHAR_ARG_LEN (1))); |
|
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|
1604 |
|
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1605 if (info != 0) |
|
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|
1606 { |
|
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|
1607 rcon = 0.0; |
|
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|
1608 mattype.mark_as_unsymmetric (); |
|
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1609 typ = MatrixType::Full; |
|
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1610 } |
|
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|
1611 else |
|
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|
1612 { |
|
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|
1613 Array<Complex> z (2 * nc); |
|
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1614 Complex *pz = z.fortran_vec (); |
|
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1615 Array<double> rz (nc); |
|
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1616 double *prz = rz.fortran_vec (); |
|
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1617 |
|
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1618 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1619 nr, tmp_data, nr, anorm, |
|
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1620 rcon, pz, prz, info |
|
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1621 F77_CHAR_ARG_LEN (1))); |
|
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|
1622 |
|
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1623 if (info != 0) |
|
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1624 rcon = 0.0; |
|
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|
1625 |
|
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|
1626 for (octave_idx_type i = 0; i < nc; i++) |
|
8337
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1627 retval *= atmp (i,i); |
|
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|
1628 |
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1629 retval = retval.square (); |
|
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|
1630 } |
|
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|
1631 } |
|
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1632 else if (typ != MatrixType::Full) |
|
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1633 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1634 |
|
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1635 if (typ == MatrixType::Full) |
|
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|
1636 { |
|
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|
1637 Array<octave_idx_type> ipvt (nr); |
|
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1638 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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1639 |
|
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1640 ComplexMatrix atmp = *this; |
|
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1641 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1642 |
|
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|
1643 info = 0; |
|
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|
1644 |
|
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|
1645 // Calculate the norm of the matrix, for later use. |
|
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|
1646 double anorm = 0; |
|
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1647 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1648 |
|
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|
1649 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1650 |
|
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|
1651 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
1652 rcon = 0.0; |
|
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|
1653 if (info != 0) |
|
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|
1654 { |
|
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|
1655 info = -1; |
|
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|
1656 retval = ComplexDET (); |
|
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|
1657 } |
|
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|
1658 else |
|
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|
1659 { |
|
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|
1660 if (calc_cond) |
|
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|
1661 { |
|
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1662 // Now calc the condition number for non-singular matrix. |
|
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1663 char job = '1'; |
|
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|
1664 Array<Complex> z (2 * nc); |
|
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1665 Complex *pz = z.fortran_vec (); |
|
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|
1666 Array<double> rz (2 * nc); |
|
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1667 double *prz = rz.fortran_vec (); |
|
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|
1668 |
|
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|
1669 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1670 nc, tmp_data, nr, anorm, |
|
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1671 rcon, pz, prz, info |
|
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|
1672 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1673 } |
|
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|
1674 |
|
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|
1675 if (info != 0) |
|
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|
1676 { |
|
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|
1677 info = -1; |
|
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|
1678 retval = ComplexDET (); |
|
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|
1679 } |
|
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|
1680 else |
|
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|
1681 { |
|
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|
1682 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1683 { |
|
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|
1684 Complex c = atmp(i,i); |
|
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|
1685 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1686 } |
|
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|
1687 } |
|
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|
1688 } |
|
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|
1689 } |
| 458 | 1690 } |
|
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|
1691 |
| 458 | 1692 return retval; |
| 1693 } | |
| 1694 | |
| 7788 | 1695 double |
| 1696 ComplexMatrix::rcond (void) const | |
| 1697 { | |
| 1698 MatrixType mattype (*this); | |
| 1699 return rcond (mattype); | |
| 1700 } | |
| 1701 | |
| 1702 double | |
| 1703 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1704 { | |
| 1705 double rcon; | |
| 1706 octave_idx_type nr = rows (); | |
| 1707 octave_idx_type nc = cols (); | |
| 1708 | |
| 1709 if (nr != nc) | |
| 1710 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1711 else if (nr == 0 || nc == 0) | |
| 1712 rcon = octave_Inf; | |
| 1713 else | |
| 1714 { | |
| 1715 int typ = mattype.type (); | |
| 1716 | |
| 1717 if (typ == MatrixType::Unknown) | |
| 1718 typ = mattype.type (*this); | |
| 1719 | |
| 1720 // Only calculate the condition number for LU/Cholesky | |
| 1721 if (typ == MatrixType::Upper) | |
| 1722 { | |
| 1723 const Complex *tmp_data = fortran_vec (); | |
| 1724 octave_idx_type info = 0; | |
| 1725 char norm = '1'; | |
| 1726 char uplo = 'U'; | |
| 1727 char dia = 'N'; | |
| 1728 | |
| 1729 Array<Complex> z (2 * nc); | |
| 1730 Complex *pz = z.fortran_vec (); | |
| 1731 Array<double> rz (nc); | |
| 1732 double *prz = rz.fortran_vec (); | |
| 1733 | |
| 1734 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1735 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1736 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1737 nr, tmp_data, nr, rcon, | |
| 1738 pz, prz, info | |
| 1739 F77_CHAR_ARG_LEN (1) | |
| 1740 F77_CHAR_ARG_LEN (1) | |
| 1741 F77_CHAR_ARG_LEN (1))); | |
| 1742 | |
| 1743 if (info != 0) | |
| 1744 rcon = 0; | |
| 1745 } | |
| 1746 else if (typ == MatrixType::Permuted_Upper) | |
| 1747 (*current_liboctave_error_handler) | |
| 1748 ("permuted triangular matrix not implemented"); | |
| 1749 else if (typ == MatrixType::Lower) | |
| 1750 { | |
| 1751 const Complex *tmp_data = fortran_vec (); | |
| 1752 octave_idx_type info = 0; | |
| 1753 char norm = '1'; | |
| 1754 char uplo = 'L'; | |
| 1755 char dia = 'N'; | |
| 1756 | |
| 1757 Array<Complex> z (2 * nc); | |
| 1758 Complex *pz = z.fortran_vec (); | |
| 1759 Array<double> rz (nc); | |
| 1760 double *prz = rz.fortran_vec (); | |
| 1761 | |
| 1762 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1763 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1764 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1765 nr, tmp_data, nr, rcon, | |
| 1766 pz, prz, info | |
| 1767 F77_CHAR_ARG_LEN (1) | |
| 1768 F77_CHAR_ARG_LEN (1) | |
| 1769 F77_CHAR_ARG_LEN (1))); | |
| 1770 | |
| 1771 if (info != 0) | |
| 1772 rcon = 0.0; | |
| 1773 } | |
| 1774 else if (typ == MatrixType::Permuted_Lower) | |
| 1775 (*current_liboctave_error_handler) | |
| 1776 ("permuted triangular matrix not implemented"); | |
| 1777 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1778 { | |
| 1779 double anorm = -1.0; | |
| 1780 ComplexMatrix atmp = *this; | |
| 1781 Complex *tmp_data = atmp.fortran_vec (); | |
| 1782 | |
| 1783 if (typ == MatrixType::Hermitian) | |
| 1784 { | |
| 1785 octave_idx_type info = 0; | |
| 1786 char job = 'L'; | |
| 1787 anorm = atmp.abs().sum(). | |
| 1788 row(static_cast<octave_idx_type>(0)).max(); | |
| 1789 | |
| 1790 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1791 tmp_data, nr, info | |
| 1792 F77_CHAR_ARG_LEN (1))); | |
| 1793 | |
| 1794 if (info != 0) | |
| 1795 { | |
| 1796 rcon = 0.0; | |
| 1797 | |
| 1798 mattype.mark_as_unsymmetric (); | |
| 1799 typ = MatrixType::Full; | |
| 1800 } | |
| 1801 else | |
| 1802 { | |
| 1803 Array<Complex> z (2 * nc); | |
| 1804 Complex *pz = z.fortran_vec (); | |
| 1805 Array<double> rz (nc); | |
| 1806 double *prz = rz.fortran_vec (); | |
| 1807 | |
| 1808 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1809 nr, tmp_data, nr, anorm, | |
| 1810 rcon, pz, prz, info | |
| 1811 F77_CHAR_ARG_LEN (1))); | |
| 1812 | |
| 1813 if (info != 0) | |
| 1814 rcon = 0.0; | |
| 1815 } | |
| 1816 } | |
| 1817 | |
| 1818 | |
| 1819 if (typ == MatrixType::Full) | |
| 1820 { | |
| 1821 octave_idx_type info = 0; | |
| 1822 | |
| 1823 Array<octave_idx_type> ipvt (nr); | |
| 1824 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1825 | |
| 1826 if(anorm < 0.) | |
| 1827 anorm = atmp.abs().sum(). | |
| 1828 row(static_cast<octave_idx_type>(0)).max(); | |
| 1829 | |
| 1830 Array<Complex> z (2 * nc); | |
| 1831 Complex *pz = z.fortran_vec (); | |
| 1832 Array<double> rz (2 * nc); | |
| 1833 double *prz = rz.fortran_vec (); | |
| 1834 | |
| 1835 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1836 | |
| 1837 if (info != 0) | |
| 1838 { | |
| 1839 rcon = 0.0; | |
| 1840 mattype.mark_as_rectangular (); | |
| 1841 } | |
| 1842 else | |
| 1843 { | |
| 1844 char job = '1'; | |
| 1845 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1846 nc, tmp_data, nr, anorm, | |
| 1847 rcon, pz, prz, info | |
| 1848 F77_CHAR_ARG_LEN (1))); | |
| 1849 | |
| 1850 if (info != 0) | |
| 1851 rcon = 0.0; | |
| 1852 } | |
| 1853 } | |
| 1854 } | |
| 1855 else | |
| 1856 rcon = 0.0; | |
| 1857 } | |
| 1858 | |
| 1859 return rcon; | |
| 1860 } | |
| 1861 | |
| 458 | 1862 ComplexMatrix |
| 5785 | 1863 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1864 octave_idx_type& info, double& rcon, |
| 5785 | 1865 solve_singularity_handler sing_handler, |
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|
1866 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1867 { |
| 1868 ComplexMatrix retval; | |
| 1869 | |
| 1870 octave_idx_type nr = rows (); | |
| 1871 octave_idx_type nc = cols (); | |
| 1872 | |
| 6924 | 1873 if (nr != b.rows ()) |
| 5785 | 1874 (*current_liboctave_error_handler) |
| 1875 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1876 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1877 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1878 else |
| 1879 { | |
| 1880 volatile int typ = mattype.type (); | |
| 1881 | |
| 1882 if (typ == MatrixType::Permuted_Upper || | |
| 1883 typ == MatrixType::Upper) | |
| 1884 { | |
| 1885 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1886 rcon = 1.; |
| 5785 | 1887 info = 0; |
| 1888 | |
| 1889 if (typ == MatrixType::Permuted_Upper) | |
| 1890 { | |
| 1891 (*current_liboctave_error_handler) | |
| 6390 | 1892 ("permuted triangular matrix not implemented"); |
| 5785 | 1893 } |
| 1894 else | |
| 1895 { | |
| 1896 const Complex *tmp_data = fortran_vec (); | |
| 1897 | |
| 1898 if (calc_cond) | |
| 1899 { | |
| 1900 char norm = '1'; | |
| 1901 char uplo = 'U'; | |
| 1902 char dia = 'N'; | |
| 1903 | |
| 1904 Array<Complex> z (2 * nc); | |
| 1905 Complex *pz = z.fortran_vec (); | |
| 1906 Array<double> rz (nc); | |
| 1907 double *prz = rz.fortran_vec (); | |
| 1908 | |
| 1909 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1910 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1911 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1912 nr, tmp_data, nr, rcon, |
| 5785 | 1913 pz, prz, info |
| 1914 F77_CHAR_ARG_LEN (1) | |
| 1915 F77_CHAR_ARG_LEN (1) | |
| 1916 F77_CHAR_ARG_LEN (1))); | |
| 1917 | |
| 1918 if (info != 0) | |
| 1919 info = -2; | |
| 1920 | |
| 7788 | 1921 volatile double rcond_plus_one = rcon + 1.0; |
| 1922 | |
| 1923 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1924 { |
| 1925 info = -2; | |
| 1926 | |
| 1927 if (sing_handler) | |
| 7788 | 1928 sing_handler (rcon); |
| 5785 | 1929 else |
| 1930 (*current_liboctave_error_handler) | |
| 1931 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1932 rcon); |
| 5785 | 1933 } |
| 1934 } | |
| 1935 | |
| 1936 if (info == 0) | |
| 1937 { | |
| 1938 retval = b; | |
| 1939 Complex *result = retval.fortran_vec (); | |
| 1940 | |
| 1941 char uplo = 'U'; | |
|
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|
1942 char trans = get_blas_char (transt); |
| 5785 | 1943 char dia = 'N'; |
| 1944 | |
| 1945 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1946 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1947 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1948 nr, b_nc, tmp_data, nr, | |
| 1949 result, nr, info | |
| 1950 F77_CHAR_ARG_LEN (1) | |
| 1951 F77_CHAR_ARG_LEN (1) | |
| 1952 F77_CHAR_ARG_LEN (1))); | |
| 1953 } | |
| 1954 } | |
| 1955 } | |
| 1956 else | |
| 1957 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1958 } | |
| 1959 | |
| 1960 return retval; | |
| 1961 } | |
| 1962 | |
| 1963 ComplexMatrix | |
| 1964 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1965 octave_idx_type& info, double& rcon, |
| 5785 | 1966 solve_singularity_handler sing_handler, |
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|
1967 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1968 { |
| 1969 ComplexMatrix retval; | |
| 1970 | |
| 1971 octave_idx_type nr = rows (); | |
| 1972 octave_idx_type nc = cols (); | |
| 1973 | |
| 6924 | 1974 if (nr != b.rows ()) |
| 5785 | 1975 (*current_liboctave_error_handler) |
| 1976 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1977 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1978 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1979 else |
| 1980 { | |
| 1981 volatile int typ = mattype.type (); | |
| 1982 | |
| 1983 if (typ == MatrixType::Permuted_Lower || | |
| 1984 typ == MatrixType::Lower) | |
| 1985 { | |
| 1986 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1987 rcon = 1.; |
| 5785 | 1988 info = 0; |
| 1989 | |
| 1990 if (typ == MatrixType::Permuted_Lower) | |
| 1991 { | |
| 1992 (*current_liboctave_error_handler) | |
| 6390 | 1993 ("permuted triangular matrix not implemented"); |
| 5785 | 1994 } |
| 1995 else | |
| 1996 { | |
| 1997 const Complex *tmp_data = fortran_vec (); | |
| 1998 | |
| 1999 if (calc_cond) | |
| 2000 { | |
| 2001 char norm = '1'; | |
| 2002 char uplo = 'L'; | |
| 2003 char dia = 'N'; | |
| 2004 | |
| 2005 Array<Complex> z (2 * nc); | |
| 2006 Complex *pz = z.fortran_vec (); | |
| 2007 Array<double> rz (nc); | |
| 2008 double *prz = rz.fortran_vec (); | |
| 2009 | |
| 2010 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2011 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2012 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2013 nr, tmp_data, nr, rcon, |
| 5785 | 2014 pz, prz, info |
| 2015 F77_CHAR_ARG_LEN (1) | |
| 2016 F77_CHAR_ARG_LEN (1) | |
| 2017 F77_CHAR_ARG_LEN (1))); | |
| 2018 | |
| 2019 if (info != 0) | |
| 2020 info = -2; | |
| 2021 | |
| 7788 | 2022 volatile double rcond_plus_one = rcon + 1.0; |
| 2023 | |
| 2024 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2025 { |
| 2026 info = -2; | |
| 2027 | |
| 2028 if (sing_handler) | |
| 7788 | 2029 sing_handler (rcon); |
| 5785 | 2030 else |
| 2031 (*current_liboctave_error_handler) | |
| 2032 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2033 rcon); |
| 5785 | 2034 } |
| 2035 } | |
| 2036 | |
| 2037 if (info == 0) | |
| 2038 { | |
| 2039 retval = b; | |
| 2040 Complex *result = retval.fortran_vec (); | |
| 2041 | |
| 2042 char uplo = 'L'; | |
|
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diff
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|
2043 char trans = get_blas_char (transt); |
| 5785 | 2044 char dia = 'N'; |
| 2045 | |
| 2046 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2047 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2048 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2049 nr, b_nc, tmp_data, nr, | |
| 2050 result, nr, info | |
| 2051 F77_CHAR_ARG_LEN (1) | |
| 2052 F77_CHAR_ARG_LEN (1) | |
| 2053 F77_CHAR_ARG_LEN (1))); | |
| 2054 } | |
| 2055 } | |
| 2056 } | |
| 2057 else | |
| 2058 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2059 } | |
| 2060 | |
| 2061 return retval; | |
| 2062 } | |
| 2063 | |
| 2064 ComplexMatrix | |
| 2065 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2066 octave_idx_type& info, double& rcon, |
| 5785 | 2067 solve_singularity_handler sing_handler, |
| 2068 bool calc_cond) const | |
| 2069 { | |
| 2070 ComplexMatrix retval; | |
| 2071 | |
| 2072 octave_idx_type nr = rows (); | |
| 2073 octave_idx_type nc = cols (); | |
| 2074 | |
| 6924 | 2075 |
| 2076 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2077 (*current_liboctave_error_handler) |
| 6924 | 2078 ("matrix dimension mismatch solution of linear equations"); |
| 2079 else if (nr == 0 || b.cols () == 0) | |
| 2080 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2081 else |
| 2082 { | |
| 2083 volatile int typ = mattype.type (); | |
| 2084 | |
| 2085 // Calculate the norm of the matrix, for later use. | |
| 2086 double anorm = -1.; | |
| 2087 | |
| 2088 if (typ == MatrixType::Hermitian) | |
| 2089 { | |
| 2090 info = 0; | |
| 2091 char job = 'L'; | |
| 2092 ComplexMatrix atmp = *this; | |
| 2093 Complex *tmp_data = atmp.fortran_vec (); | |
| 2094 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2095 | |
| 2096 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2097 tmp_data, nr, info | |
| 2098 F77_CHAR_ARG_LEN (1))); | |
| 2099 | |
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2100 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2101 rcon = 0.0; |
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|
2102 if (info != 0) |
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|
2103 { |
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|
2104 info = -2; |
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|
2105 |
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|
2106 mattype.mark_as_unsymmetric (); |
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2107 typ = MatrixType::Full; |
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2108 } |
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|
2109 else |
| 5785 | 2110 { |
|
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|
2111 if (calc_cond) |
| 5785 | 2112 { |
|
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|
2113 Array<Complex> z (2 * nc); |
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|
2114 Complex *pz = z.fortran_vec (); |
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|
2115 Array<double> rz (nc); |
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|
2116 double *prz = rz.fortran_vec (); |
|
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|
2117 |
|
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|
2118 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2119 nr, tmp_data, nr, anorm, |
| 7788 | 2120 rcon, pz, prz, info |
|
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|
2121 F77_CHAR_ARG_LEN (1))); |
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|
2122 |
|
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|
2123 if (info != 0) |
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2124 info = -2; |
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|
2125 |
| 7788 | 2126 volatile double rcond_plus_one = rcon + 1.0; |
| 2127 | |
| 2128 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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|
2129 { |
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2130 info = -2; |
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|
2131 |
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|
2132 if (sing_handler) |
| 7788 | 2133 sing_handler (rcon); |
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2134 else |
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|
2135 (*current_liboctave_error_handler) |
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|
2136 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2137 rcon); |
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|
2138 } |
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2139 } |
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|
2140 |
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|
2141 if (info == 0) |
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|
2142 { |
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|
2143 retval = b; |
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2144 Complex *result = retval.fortran_vec (); |
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2145 |
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|
2146 octave_idx_type b_nc = b.cols (); |
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|
2147 |
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|
2148 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
2149 nr, b_nc, tmp_data, nr, |
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|
2150 result, b.rows(), info |
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2151 F77_CHAR_ARG_LEN (1))); |
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2152 } |
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|
2153 else |
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|
2154 { |
| 5785 | 2155 mattype.mark_as_unsymmetric (); |
| 2156 typ = MatrixType::Full; | |
| 2157 } | |
| 2158 } | |
| 2159 } | |
| 2160 | |
| 2161 if (typ == MatrixType::Full) | |
| 2162 { | |
| 2163 info = 0; | |
| 2164 | |
| 2165 Array<octave_idx_type> ipvt (nr); | |
| 2166 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2167 | |
| 2168 ComplexMatrix atmp = *this; | |
| 2169 Complex *tmp_data = atmp.fortran_vec (); | |
| 2170 | |
| 2171 Array<Complex> z (2 * nc); | |
| 2172 Complex *pz = z.fortran_vec (); | |
| 2173 Array<double> rz (2 * nc); | |
| 2174 double *prz = rz.fortran_vec (); | |
| 2175 | |
| 2176 // Calculate the norm of the matrix, for later use. | |
| 2177 if (anorm < 0.) | |
| 2178 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2179 | |
| 2180 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2181 | |
|
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|
2182 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2183 rcon = 0.0; |
|
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changeset
|
2184 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2185 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2186 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2187 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2188 if (sing_handler) |
| 7788 | 2189 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2190 else |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2191 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2192 ("matrix singular to machine precision"); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2193 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2194 mattype.mark_as_rectangular (); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2195 } |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2196 else |
| 5785 | 2197 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2198 if (calc_cond) |
| 5785 | 2199 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2200 // Now calculate the condition number for |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2201 // non-singular matrix. |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2202 char job = '1'; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2203 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2204 nc, tmp_data, nr, anorm, |
| 7788 | 2205 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2206 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2207 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2208 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2209 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2210 |
| 7788 | 2211 volatile double rcond_plus_one = rcon + 1.0; |
| 2212 | |
| 2213 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2214 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2215 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2216 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2217 if (sing_handler) |
| 7788 | 2218 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2219 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2220 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2221 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2222 rcon); |
| 5785 | 2223 } |
| 2224 } | |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2225 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2226 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2227 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2228 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2229 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2230 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2231 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2232 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2233 char job = 'N'; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2234 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2235 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2236 pipvt, result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2237 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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parents:
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diff
changeset
|
2238 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2239 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2240 mattype.mark_as_rectangular (); |
| 5785 | 2241 } |
| 2242 } | |
| 2243 } | |
| 2244 | |
| 2245 return retval; | |
| 2246 } | |
| 2247 | |
| 2248 ComplexMatrix | |
| 2249 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2250 { | |
| 2251 octave_idx_type info; | |
| 7788 | 2252 double rcon; |
| 2253 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2254 } |
| 2255 | |
| 2256 ComplexMatrix | |
| 2257 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2258 octave_idx_type& info) const | |
| 2259 { | |
| 7788 | 2260 double rcon; |
| 2261 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2262 } |
| 2263 | |
| 2264 ComplexMatrix | |
| 2265 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2266 double& rcon) const |
| 5785 | 2267 { |
| 7788 | 2268 return solve (typ, b, info, rcon, 0); |
| 5785 | 2269 } |
| 2270 | |
| 2271 ComplexMatrix | |
| 2272 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2273 double& rcon, 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
|
2274 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2275 { |
| 2276 ComplexMatrix tmp (b); | |
|
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2277 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
| 5785 | 2278 } |
| 2279 | |
| 2280 ComplexMatrix | |
| 2281 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2282 { | |
| 2283 octave_idx_type info; | |
| 7788 | 2284 double rcon; |
| 2285 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2286 } |
| 2287 | |
| 2288 ComplexMatrix | |
| 2289 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2290 octave_idx_type& info) const | |
| 2291 { | |
| 7788 | 2292 double rcon; |
| 2293 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2294 } |
| 2295 | |
| 2296 ComplexMatrix | |
| 2297 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2298 octave_idx_type& info, double& rcon) const |
| 5785 | 2299 { |
| 7788 | 2300 return solve (typ, b, info, rcon, 0); |
| 5785 | 2301 } |
| 2302 | |
| 2303 ComplexMatrix | |
| 2304 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2305 octave_idx_type& info, double& rcon, |
| 5785 | 2306 solve_singularity_handler sing_handler, |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
2307 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2308 { |
| 2309 ComplexMatrix retval; | |
| 2310 int typ = mattype.type (); | |
| 2311 | |
| 2312 if (typ == MatrixType::Unknown) | |
| 2313 typ = mattype.type (*this); | |
| 2314 | |
| 2315 // Only calculate the condition number for LU/Cholesky | |
| 2316 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
2317 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 2318 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2319 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
|
afcf852256d2
optimize / and '\ for triangular matrices
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parents:
9658
diff
changeset
|
2320 else if (transt == blas_trans) |
|
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2321 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
|
afcf852256d2
optimize / and '\ for triangular matrices
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parents:
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diff
changeset
|
2322 else if (transt == blas_conj_trans) |
|
afcf852256d2
optimize / and '\ for triangular matrices
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diff
changeset
|
2323 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2324 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2325 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2326 else if (typ != MatrixType::Rectangular) |
| 2327 { | |
| 2328 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2329 return ComplexMatrix (); | |
| 2330 } | |
| 2331 | |
| 2332 // Rectangular or one of the above solvers flags a singular matrix | |
| 2333 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2334 { | |
| 2335 octave_idx_type rank; | |
| 7788 | 2336 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2337 } |
| 2338 | |
| 2339 return retval; | |
| 2340 } | |
| 2341 | |
| 2342 ComplexColumnVector | |
| 2343 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2344 { | |
| 2345 octave_idx_type info; | |
| 7788 | 2346 double rcon; |
| 2347 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2348 } |
| 2349 | |
| 2350 ComplexColumnVector | |
| 2351 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2352 octave_idx_type& info) const | |
| 2353 { | |
| 7788 | 2354 double rcon; |
| 2355 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2356 } |
| 2357 | |
| 2358 ComplexColumnVector | |
| 2359 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2360 octave_idx_type& info, double& rcon) const |
| 5785 | 2361 { |
| 7788 | 2362 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2363 } |
| 2364 | |
| 2365 ComplexColumnVector | |
| 2366 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2367 octave_idx_type& info, double& rcon, |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2368 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2369 { |
|
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
2370 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 5785 | 2371 } |
| 2372 | |
| 2373 ComplexColumnVector | |
| 2374 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2375 { | |
| 2376 octave_idx_type info; | |
| 7788 | 2377 double rcon; |
| 2378 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2379 } |
| 2380 | |
| 2381 ComplexColumnVector | |
| 2382 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2383 octave_idx_type& info) const | |
| 2384 { | |
| 7788 | 2385 double rcon; |
| 2386 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2387 } |
| 2388 | |
| 2389 ComplexColumnVector | |
| 2390 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2391 octave_idx_type& info, double& rcon) const |
| 5785 | 2392 { |
| 7788 | 2393 return solve (typ, b, info, rcon, 0); |
| 5785 | 2394 } |
| 2395 | |
| 2396 ComplexColumnVector | |
| 2397 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2398 octave_idx_type& info, double& rcon, |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2399 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2400 { |
| 2401 | |
| 2402 ComplexMatrix tmp (b); | |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2403 return solve (typ, tmp, info, rcon, sing_handler, transt).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2404 } |
| 2405 | |
| 2406 ComplexMatrix | |
| 458 | 2407 ComplexMatrix::solve (const Matrix& b) const |
| 2408 { | |
| 5275 | 2409 octave_idx_type info; |
| 7788 | 2410 double rcon; |
| 2411 return solve (b, info, rcon, 0); | |
| 458 | 2412 } |
| 2413 | |
| 2414 ComplexMatrix | |
| 5275 | 2415 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2416 { |
| 7788 | 2417 double rcon; |
| 2418 return solve (b, info, rcon, 0); | |
| 458 | 2419 } |
| 2420 | |
| 2421 ComplexMatrix | |
| 7788 | 2422 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2423 { |
| 7788 | 2424 return solve (b, info, rcon, 0); |
| 3480 | 2425 } |
| 2426 | |
| 2427 ComplexMatrix | |
| 7788 | 2428 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2429 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2430 { |
| 458 | 2431 ComplexMatrix tmp (b); |
|
9661
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optimize / and '\ for triangular matrices
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parents:
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diff
changeset
|
2432 return solve (tmp, info, rcon, sing_handler, transt); |
| 458 | 2433 } |
| 2434 | |
| 2435 ComplexMatrix | |
| 2436 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2437 { | |
| 5275 | 2438 octave_idx_type info; |
| 7788 | 2439 double rcon; |
| 2440 return solve (b, info, rcon, 0); | |
| 458 | 2441 } |
| 2442 | |
| 2443 ComplexMatrix | |
| 5275 | 2444 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2445 { |
| 7788 | 2446 double rcon; |
| 2447 return solve (b, info, rcon, 0); | |
| 458 | 2448 } |
| 3480 | 2449 |
| 458 | 2450 ComplexMatrix |
| 7788 | 2451 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2452 { |
| 7788 | 2453 return solve (b, info, rcon, 0); |
| 3480 | 2454 } |
| 2455 | |
| 2456 ComplexMatrix | |
| 7788 | 2457 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
|
9661
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optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
2458 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2459 { |
| 5785 | 2460 MatrixType mattype (*this); |
|
9661
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optimize / and '\ for triangular matrices
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diff
changeset
|
2461 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2462 } |
| 2463 | |
| 2464 ComplexColumnVector | |
| 3585 | 2465 ComplexMatrix::solve (const ColumnVector& b) const |
| 2466 { | |
| 5275 | 2467 octave_idx_type info; |
| 7788 | 2468 double rcon; |
| 2469 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2470 } |
| 2471 | |
| 2472 ComplexColumnVector | |
| 5275 | 2473 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2474 { |
| 7788 | 2475 double rcon; |
| 2476 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2477 } |
| 2478 | |
| 2479 ComplexColumnVector | |
| 5785 | 2480 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2481 double& rcon) const |
| 3585 | 2482 { |
| 7788 | 2483 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2484 } |
| 2485 | |
| 2486 ComplexColumnVector | |
| 5785 | 2487 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2488 double& rcon, |
|
9661
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optimize / and '\ for triangular matrices
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diff
changeset
|
2489 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3585 | 2490 { |
|
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|
2491 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 3585 | 2492 } |
| 2493 | |
| 2494 ComplexColumnVector | |
| 458 | 2495 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2496 { | |
| 5275 | 2497 octave_idx_type info; |
| 7788 | 2498 double rcon; |
| 2499 return solve (b, info, rcon, 0); | |
| 458 | 2500 } |
| 2501 | |
| 2502 ComplexColumnVector | |
| 5275 | 2503 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2504 { |
| 7788 | 2505 double rcon; |
| 2506 return solve (b, info, rcon, 0); | |
| 458 | 2507 } |
| 2508 | |
| 2509 ComplexColumnVector | |
| 5275 | 2510 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2511 double& rcon) const |
| 458 | 2512 { |
| 7788 | 2513 return solve (b, info, rcon, 0); |
| 3480 | 2514 } |
| 2515 | |
| 2516 ComplexColumnVector | |
| 5275 | 2517 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2518 double& rcon, |
|
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2519 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2520 { |
| 5785 | 2521 MatrixType mattype (*this); |
|
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2522 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2523 } |
| 2524 | |
| 2525 ComplexMatrix | |
| 3585 | 2526 ComplexMatrix::lssolve (const Matrix& b) const |
| 2527 { | |
| 5275 | 2528 octave_idx_type info; |
| 2529 octave_idx_type rank; | |
| 7788 | 2530 double rcon; |
| 2531 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2532 } |
| 2533 | |
| 2534 ComplexMatrix | |
| 5275 | 2535 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2536 { |
| 5275 | 2537 octave_idx_type rank; |
| 7788 | 2538 double rcon; |
| 2539 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2540 } |
| 2541 | |
| 2542 ComplexMatrix | |
| 7076 | 2543 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2544 octave_idx_type& rank) const | |
| 3585 | 2545 { |
| 7788 | 2546 double rcon; |
| 2547 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2548 } |
| 2549 | |
| 2550 ComplexMatrix | |
| 2551 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2552 octave_idx_type& rank, double& rcon) const |
| 7076 | 2553 { |
| 7788 | 2554 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2555 } |
| 2556 | |
| 2557 ComplexMatrix | |
| 458 | 2558 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2559 { | |
| 5275 | 2560 octave_idx_type info; |
| 2561 octave_idx_type rank; | |
| 7788 | 2562 double rcon; |
| 2563 return lssolve (b, info, rank, rcon); | |
| 458 | 2564 } |
| 2565 | |
| 2566 ComplexMatrix | |
| 5275 | 2567 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2568 { |
| 5275 | 2569 octave_idx_type rank; |
| 7788 | 2570 double rcon; |
| 2571 return lssolve (b, info, rank, rcon); | |
| 458 | 2572 } |
| 2573 | |
| 2574 ComplexMatrix | |
| 7076 | 2575 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2576 octave_idx_type& rank) const | |
| 2577 { | |
| 7788 | 2578 double rcon; |
| 2579 return lssolve (b, info, rank, rcon); | |
| 7076 | 2580 } |
| 2581 | |
| 2582 ComplexMatrix | |
| 2583 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2584 octave_idx_type& rank, double& rcon) const |
| 458 | 2585 { |
| 1948 | 2586 ComplexMatrix retval; |
| 2587 | |
| 5275 | 2588 octave_idx_type nrhs = b.cols (); |
| 2589 | |
| 2590 octave_idx_type m = rows (); | |
| 2591 octave_idx_type n = cols (); | |
| 458 | 2592 |
| 6924 | 2593 if (m != b.rows ()) |
| 1948 | 2594 (*current_liboctave_error_handler) |
| 2595 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2596 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2597 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2598 else |
| 458 | 2599 { |
| 7072 | 2600 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2601 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2602 rcon = -1.0; |
| 7072 | 2603 |
| 2604 if (m != n) | |
| 2605 { | |
| 2606 retval = ComplexMatrix (maxmn, nrhs); | |
| 2607 | |
| 2608 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2609 for (octave_idx_type i = 0; i < m; i++) | |
| 2610 retval.elem (i, j) = b.elem (i, j); | |
| 2611 } | |
| 2612 else | |
| 2613 retval = b; | |
| 2614 | |
| 1948 | 2615 ComplexMatrix atmp = *this; |
| 2616 Complex *tmp_data = atmp.fortran_vec (); | |
| 2617 | |
| 7072 | 2618 Complex *pretval = retval.fortran_vec (); |
| 2619 Array<double> s (minmn); | |
| 7071 | 2620 double *ps = s.fortran_vec (); |
| 2563 | 2621 |
| 7072 | 2622 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2623 octave_idx_type lwork = -1; |
| 3752 | 2624 |
| 2625 Array<Complex> work (1); | |
| 7079 | 2626 |
| 7477 | 2627 octave_idx_type smlsiz; |
| 2628 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2629 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2630 0, 0, 0, 0, smlsiz |
| 7477 | 2631 F77_CHAR_ARG_LEN (6) |
| 7478 | 2632 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2633 |
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2634 octave_idx_type mnthr; |
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2635 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2636 F77_CONST_CHAR_ARG2 (" ", 1), |
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2637 m, n, nrhs, -1, mnthr |
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2638 F77_CHAR_ARG_LEN (6) |
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2639 F77_CHAR_ARG_LEN (1)); |
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2640 |
| 7079 | 2641 // We compute the size of rwork and iwork because ZGELSD in |
| 2642 // older versions of LAPACK does not return them on a query | |
| 2643 // call. | |
| 7124 | 2644 double dminmn = static_cast<double> (minmn); |
| 2645 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2646 #if defined (HAVE_LOG2) |
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2647 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2648 #else |
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2649 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2650 #endif |
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2651 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2652 if (nlvl < 0) |
| 2653 nlvl = 0; | |
| 2654 | |
| 2655 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2656 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2657 if (lrwork < 1) | |
| 2658 lrwork = 1; | |
| 2659 Array<double> rwork (lrwork); | |
| 2660 double *prwork = rwork.fortran_vec (); | |
| 2661 | |
| 2662 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2663 if (liwork < 1) | |
| 2664 liwork = 1; | |
| 2665 Array<octave_idx_type> iwork (liwork); | |
| 2666 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2667 |
| 2668 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2669 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2670 lwork, prwork, piwork, info)); |
| 1948 | 2671 |
| 7476 | 2672 // The workspace query is broken in at least LAPACK 3.0.0 |
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2673 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2674 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2675 // efficiently. |
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2676 if (n >= mnthr) |
| 7476 | 2677 { |
| 2678 octave_idx_type addend = m; | |
| 2679 | |
| 2680 if (2*m-4 > addend) | |
| 2681 addend = 2*m-4; | |
| 2682 | |
| 2683 if (nrhs > addend) | |
| 2684 addend = nrhs; | |
| 2685 | |
| 2686 if (n-3*m > addend) | |
| 2687 addend = n-3*m; | |
| 2688 | |
| 2689 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2690 | |
| 2691 if (std::real (work(0)) < lworkaround) | |
| 2692 work(0) = lworkaround; | |
| 2693 } | |
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2694 else if (m >= n) |
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2695 { |
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2696 octave_idx_type lworkaround = 2*m + m*nrhs; |
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2697 |
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2698 if (std::real (work(0)) < lworkaround) |
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2699 work(0) = lworkaround; |
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2700 } |
| 7476 | 2701 |
|
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2702 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2703 work.resize (lwork); |
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2704 |
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|
2705 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2706 maxmn, ps, rcon, rank, |
|
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2707 work.fortran_vec (), lwork, |
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|
2708 prwork, piwork, info)); |
|
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2709 |
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|
2710 if (rank < minmn) |
|
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|
2711 (*current_liboctave_warning_handler) |
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|
2712 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2713 m, n, rank, rcon); |
|
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2714 |
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|
2715 if (s.elem (0) == 0.0) |
| 7788 | 2716 rcon = 0.0; |
| 1948 | 2717 else |
| 7788 | 2718 rcon = s.elem (minmn - 1) / s.elem (0); |
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2719 |
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|
2720 retval.resize (n, nrhs); |
| 458 | 2721 } |
| 2722 | |
| 2723 return retval; | |
| 2724 } | |
| 2725 | |
| 2726 ComplexColumnVector | |
| 3585 | 2727 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2728 { | |
| 5275 | 2729 octave_idx_type info; |
| 2730 octave_idx_type rank; | |
| 7788 | 2731 double rcon; |
| 2732 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2733 } |
| 2734 | |
| 2735 ComplexColumnVector | |
| 5275 | 2736 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2737 { |
| 5275 | 2738 octave_idx_type rank; |
| 7788 | 2739 double rcon; |
| 2740 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2741 } |
| 2742 | |
| 2743 ComplexColumnVector | |
| 7076 | 2744 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2745 octave_idx_type& rank) const | |
| 3585 | 2746 { |
| 7788 | 2747 double rcon; |
| 2748 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2749 } |
| 2750 | |
| 2751 ComplexColumnVector | |
| 2752 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2753 octave_idx_type& rank, double& rcon) const |
| 7076 | 2754 { |
| 7788 | 2755 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2756 } |
| 2757 | |
| 2758 ComplexColumnVector | |
| 458 | 2759 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2760 { | |
| 5275 | 2761 octave_idx_type info; |
| 2762 octave_idx_type rank; | |
| 7788 | 2763 double rcon; |
| 2764 return lssolve (b, info, rank, rcon); | |
| 458 | 2765 } |
| 2766 | |
| 2767 ComplexColumnVector | |
| 5275 | 2768 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2769 { |
| 5275 | 2770 octave_idx_type rank; |
| 7788 | 2771 double rcon; |
| 2772 return lssolve (b, info, rank, rcon); | |
| 458 | 2773 } |
| 2774 | |
| 2775 ComplexColumnVector | |
| 5275 | 2776 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2777 octave_idx_type& rank) const | |
| 458 | 2778 { |
| 7788 | 2779 double rcon; |
| 2780 return lssolve (b, info, rank, rcon); | |
| 7076 | 2781 |
| 2782 } | |
| 2783 | |
| 2784 ComplexColumnVector | |
| 2785 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2786 octave_idx_type& rank, double& rcon) const |
| 7076 | 2787 { |
| 1948 | 2788 ComplexColumnVector retval; |
| 2789 | |
| 5275 | 2790 octave_idx_type nrhs = 1; |
| 2791 | |
| 2792 octave_idx_type m = rows (); | |
| 2793 octave_idx_type n = cols (); | |
| 458 | 2794 |
| 6924 | 2795 if (m != b.length ()) |
| 1948 | 2796 (*current_liboctave_error_handler) |
| 6924 | 2797 ("matrix dimension mismatch solution of linear equations"); |
| 2798 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2799 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2800 else |
| 458 | 2801 { |
| 7072 | 2802 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2803 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2804 rcon = -1.0; |
| 7072 | 2805 |
| 2806 if (m != n) | |
| 2807 { | |
| 2808 retval = ComplexColumnVector (maxmn); | |
| 2809 | |
| 2810 for (octave_idx_type i = 0; i < m; i++) | |
| 2811 retval.elem (i) = b.elem (i); | |
| 2812 } | |
| 2813 else | |
| 2814 retval = b; | |
| 2815 | |
| 1948 | 2816 ComplexMatrix atmp = *this; |
| 2817 Complex *tmp_data = atmp.fortran_vec (); | |
| 2818 | |
| 7072 | 2819 Complex *pretval = retval.fortran_vec (); |
| 2820 Array<double> s (minmn); | |
| 7071 | 2821 double *ps = s.fortran_vec (); |
| 1948 | 2822 |
| 7072 | 2823 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2824 octave_idx_type lwork = -1; |
| 3752 | 2825 |
| 2826 Array<Complex> work (1); | |
| 7079 | 2827 |
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2828 octave_idx_type smlsiz; |
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2829 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2830 F77_CONST_CHAR_ARG2 (" ", 1), |
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2831 0, 0, 0, 0, smlsiz |
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2832 F77_CHAR_ARG_LEN (6) |
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2833 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2834 |
| 2835 // We compute the size of rwork and iwork because ZGELSD in | |
| 2836 // older versions of LAPACK does not return them on a query | |
| 2837 // call. | |
| 7124 | 2838 double dminmn = static_cast<double> (minmn); |
| 2839 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2840 #if defined (HAVE_LOG2) |
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2841 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2842 #else |
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changeset
|
2843 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2844 #endif |
|
7544
f9983d2761df
more xGELSD workspace fixes
Jaroslav Hajek <highegg@gmail.com>
parents:
7532
diff
changeset
|
2845 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2846 if (nlvl < 0) |
| 2847 nlvl = 0; | |
| 2848 | |
| 2849 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2850 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2851 if (lrwork < 1) | |
| 2852 lrwork = 1; | |
| 2853 Array<double> rwork (lrwork); | |
| 2854 double *prwork = rwork.fortran_vec (); | |
| 2855 | |
| 2856 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2857 if (liwork < 1) | |
| 2858 liwork = 1; | |
| 2859 Array<octave_idx_type> iwork (liwork); | |
| 2860 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2861 |
| 2862 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2863 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2864 lwork, prwork, piwork, info)); |
| 1948 | 2865 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2866 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
|
2867 work.resize (lwork); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2868 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
|
2869 iwork.resize (iwork(0)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2870 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2871 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2872 maxmn, ps, rcon, rank, |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2873 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2874 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2875 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2876 if (rank < minmn) |
| 1948 | 2877 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2878 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2879 (*current_liboctave_warning_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2880 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2881 m, n, rank, rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2882 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2883 if (s.elem (0) == 0.0) |
| 7788 | 2884 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2885 else |
| 7788 | 2886 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
|
2887 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2888 retval.resize (n, nrhs); |
| 1948 | 2889 } |
| 458 | 2890 } |
| 2891 | |
| 2892 return retval; | |
| 2893 } | |
| 2894 | |
| 1205 | 2895 // column vector by row vector -> matrix operations |
| 2896 | |
| 2897 ComplexMatrix | |
| 2898 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2899 { | |
| 2900 ComplexColumnVector tmp (v); | |
| 2901 return tmp * a; | |
| 2902 } | |
| 2903 | |
| 2904 ComplexMatrix | |
| 2905 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2906 { | |
| 2907 ComplexRowVector tmp (b); | |
| 2908 return a * tmp; | |
| 2909 } | |
| 2910 | |
| 2911 ComplexMatrix | |
| 2912 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2913 { | |
| 1948 | 2914 ComplexMatrix retval; |
| 2915 | |
| 5275 | 2916 octave_idx_type len = v.length (); |
| 3233 | 2917 |
| 2918 if (len != 0) | |
| 1205 | 2919 { |
| 5275 | 2920 octave_idx_type a_len = a.length (); |
| 3233 | 2921 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
2922 retval = ComplexMatrix (len, a_len); |
| 3233 | 2923 Complex *c = retval.fortran_vec (); |
| 2924 | |
| 4552 | 2925 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2926 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2927 len, a_len, 1, 1.0, v.data (), len, | |
| 2928 a.data (), 1, 0.0, c, len | |
| 2929 F77_CHAR_ARG_LEN (1) | |
| 2930 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2931 } |
| 2932 | |
| 1948 | 2933 return retval; |
| 1205 | 2934 } |
| 2935 | |
| 458 | 2936 // matrix by diagonal matrix -> matrix operations |
| 2937 | |
| 2938 ComplexMatrix& | |
| 2939 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2940 { | |
| 5275 | 2941 octave_idx_type nr = rows (); |
| 2942 octave_idx_type nc = cols (); | |
| 2943 | |
| 2944 octave_idx_type a_nr = rows (); | |
| 2945 octave_idx_type a_nc = cols (); | |
| 2384 | 2946 |
| 2947 if (nr != a_nr || nc != a_nc) | |
| 458 | 2948 { |
| 2384 | 2949 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2950 return *this; |
| 458 | 2951 } |
| 2952 | |
| 5275 | 2953 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2954 elem (i, i) += a.elem (i, i); |
| 2955 | |
| 2956 return *this; | |
| 2957 } | |
| 2958 | |
| 2959 ComplexMatrix& | |
| 2960 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2961 { | |
| 5275 | 2962 octave_idx_type nr = rows (); |
| 2963 octave_idx_type nc = cols (); | |
| 2964 | |
| 2965 octave_idx_type a_nr = rows (); | |
| 2966 octave_idx_type a_nc = cols (); | |
| 2384 | 2967 |
| 2968 if (nr != a_nr || nc != a_nc) | |
| 458 | 2969 { |
| 2384 | 2970 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2971 return *this; |
| 458 | 2972 } |
| 2973 | |
| 5275 | 2974 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2975 elem (i, i) -= a.elem (i, i); |
| 2976 | |
| 2977 return *this; | |
| 2978 } | |
| 2979 | |
| 2980 ComplexMatrix& | |
| 2981 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2982 { | |
| 5275 | 2983 octave_idx_type nr = rows (); |
| 2984 octave_idx_type nc = cols (); | |
| 2985 | |
| 2986 octave_idx_type a_nr = rows (); | |
| 2987 octave_idx_type a_nc = cols (); | |
| 2384 | 2988 |
| 2989 if (nr != a_nr || nc != a_nc) | |
| 458 | 2990 { |
| 2384 | 2991 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2992 return *this; |
| 458 | 2993 } |
| 2994 | |
| 5275 | 2995 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2996 elem (i, i) += a.elem (i, i); |
| 2997 | |
| 2998 return *this; | |
| 2999 } | |
| 3000 | |
| 3001 ComplexMatrix& | |
| 3002 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3003 { | |
| 5275 | 3004 octave_idx_type nr = rows (); |
| 3005 octave_idx_type nc = cols (); | |
| 3006 | |
| 3007 octave_idx_type a_nr = rows (); | |
| 3008 octave_idx_type a_nc = cols (); | |
| 2384 | 3009 |
| 3010 if (nr != a_nr || nc != a_nc) | |
| 458 | 3011 { |
| 2384 | 3012 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3013 return *this; |
| 458 | 3014 } |
| 3015 | |
| 5275 | 3016 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3017 elem (i, i) -= a.elem (i, i); |
| 3018 | |
| 3019 return *this; | |
| 3020 } | |
| 3021 | |
| 3022 // matrix by matrix -> matrix operations | |
| 3023 | |
| 3024 ComplexMatrix& | |
| 3025 ComplexMatrix::operator += (const Matrix& a) | |
| 3026 { | |
| 5275 | 3027 octave_idx_type nr = rows (); |
| 3028 octave_idx_type nc = cols (); | |
| 3029 | |
| 3030 octave_idx_type a_nr = a.rows (); | |
| 3031 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3032 |
| 3033 if (nr != a_nr || nc != a_nc) | |
| 458 | 3034 { |
| 2384 | 3035 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3036 return *this; |
| 3037 } | |
| 3038 | |
| 3039 if (nr == 0 || nc == 0) | |
| 3040 return *this; | |
| 3041 | |
| 3042 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3043 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3044 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 3045 return *this; |
| 3046 } | |
| 3047 | |
| 3048 ComplexMatrix& | |
| 3049 ComplexMatrix::operator -= (const Matrix& a) | |
| 3050 { | |
| 5275 | 3051 octave_idx_type nr = rows (); |
| 3052 octave_idx_type nc = cols (); | |
| 3053 | |
| 3054 octave_idx_type a_nr = a.rows (); | |
| 3055 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3056 |
| 3057 if (nr != a_nr || nc != a_nc) | |
| 458 | 3058 { |
| 2384 | 3059 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3060 return *this; |
| 3061 } | |
| 3062 | |
| 3063 if (nr == 0 || nc == 0) | |
| 3064 return *this; | |
| 3065 | |
| 3066 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3067 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3068 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3069 return *this; |
| 3070 } | |
| 3071 | |
| 3072 // unary operations | |
| 3073 | |
| 2964 | 3074 boolMatrix |
| 458 | 3075 ComplexMatrix::operator ! (void) const |
| 3076 { | |
|
9553
0c72d9284087
further bool ops tweaks
Jaroslav Hajek <highegg@gmail.com>
parents:
9551
diff
changeset
|
3077 return do_mx_unary_op<boolMatrix, ComplexMatrix> (*this, mx_inline_not); |
| 458 | 3078 } |
| 3079 | |
| 3080 // other operations | |
| 3081 | |
| 2676 | 3082 Matrix |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3083 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3084 { |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3085 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3086 } |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3087 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3088 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3089 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3090 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3091 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3092 } |
| 3093 | |
| 3094 boolMatrix | |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3095 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3096 { |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3097 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3098 } |
| 3099 | |
| 2384 | 3100 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3101 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
|
3102 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3103 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3104 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3105 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3106 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
|
3107 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
|
3108 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3109 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3110 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3111 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3112 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3113 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3114 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3115 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3116 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3117 bool |
| 2384 | 3118 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3119 { | |
| 5275 | 3120 octave_idx_type nr = rows (); |
| 3121 octave_idx_type nc = cols (); | |
| 3122 | |
| 3123 for (octave_idx_type j = 0; j < nc; j++) | |
| 3124 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3125 { |
| 3126 Complex val = elem (i, j); | |
| 3127 if (xisinf (val) || xisnan (val)) | |
| 3128 return true; | |
| 3129 } | |
| 3130 | |
| 3131 return false; | |
| 3132 } | |
| 3133 | |
| 2408 | 3134 // Return true if no elements have imaginary components. |
| 3135 | |
| 3136 bool | |
| 3137 ComplexMatrix::all_elements_are_real (void) const | |
| 3138 { | |
| 5275 | 3139 octave_idx_type nr = rows (); |
| 3140 octave_idx_type nc = cols (); | |
| 3141 | |
| 3142 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3143 { |
| 5275 | 3144 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3145 { |
| 5315 | 3146 double ip = std::imag (elem (i, j)); |
| 4349 | 3147 |
| 3148 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3149 return false; | |
| 3150 } | |
| 3151 } | |
| 2408 | 3152 |
| 3153 return true; | |
| 3154 } | |
| 3155 | |
| 1968 | 3156 // Return nonzero if any element of CM has a non-integer real or |
| 3157 // imaginary part. Also extract the largest and smallest (real or | |
| 3158 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3159 | |
| 2384 | 3160 bool |
| 1968 | 3161 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3162 { | |
| 5275 | 3163 octave_idx_type nr = rows (); |
| 3164 octave_idx_type nc = cols (); | |
| 1968 | 3165 |
| 3166 if (nr > 0 && nc > 0) | |
| 3167 { | |
| 3168 Complex val = elem (0, 0); | |
| 3169 | |
| 5315 | 3170 double r_val = std::real (val); |
| 3171 double i_val = std::imag (val); | |
| 1968 | 3172 |
| 3173 max_val = r_val; | |
| 3174 min_val = r_val; | |
| 3175 | |
| 3176 if (i_val > max_val) | |
| 3177 max_val = i_val; | |
| 3178 | |
| 3179 if (i_val < max_val) | |
| 3180 min_val = i_val; | |
| 3181 } | |
| 3182 else | |
| 2384 | 3183 return false; |
| 1968 | 3184 |
| 5275 | 3185 for (octave_idx_type j = 0; j < nc; j++) |
| 3186 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3187 { |
| 3188 Complex val = elem (i, j); | |
| 3189 | |
| 5315 | 3190 double r_val = std::real (val); |
| 3191 double i_val = std::imag (val); | |
| 1968 | 3192 |
| 3193 if (r_val > max_val) | |
| 3194 max_val = r_val; | |
| 3195 | |
| 3196 if (i_val > max_val) | |
| 3197 max_val = i_val; | |
| 3198 | |
| 3199 if (r_val < min_val) | |
| 3200 min_val = r_val; | |
| 3201 | |
| 3202 if (i_val < min_val) | |
| 3203 min_val = i_val; | |
| 3204 | |
| 3205 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3206 return false; |
| 1968 | 3207 } |
| 2384 | 3208 |
| 3209 return true; | |
| 1968 | 3210 } |
| 3211 | |
| 2384 | 3212 bool |
| 1968 | 3213 ComplexMatrix::too_large_for_float (void) const |
| 3214 { | |
| 5275 | 3215 octave_idx_type nr = rows (); |
| 3216 octave_idx_type nc = cols (); | |
| 3217 | |
| 3218 for (octave_idx_type j = 0; j < nc; j++) | |
| 3219 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3220 { |
| 3221 Complex val = elem (i, j); | |
| 3222 | |
| 5315 | 3223 double r_val = std::real (val); |
| 3224 double i_val = std::imag (val); | |
| 1968 | 3225 |
| 5389 | 3226 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3227 && fabs (r_val) > FLT_MAX) |
| 5389 | 3228 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3229 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3230 return true; |
| 1968 | 3231 } |
| 3232 | |
| 2384 | 3233 return false; |
| 1968 | 3234 } |
| 3235 | |
| 5775 | 3236 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3237 // in a base class? |
| 3238 | |
| 2832 | 3239 boolMatrix |
| 4015 | 3240 ComplexMatrix::all (int dim) const |
| 458 | 3241 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3242 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_all); |
| 458 | 3243 } |
| 3244 | |
| 2832 | 3245 boolMatrix |
| 4015 | 3246 ComplexMatrix::any (int dim) const |
| 458 | 3247 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3248 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_any); |
| 458 | 3249 } |
| 3250 | |
| 3251 ComplexMatrix | |
| 3723 | 3252 ComplexMatrix::cumprod (int dim) const |
| 458 | 3253 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3254 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3255 } |
| 3256 | |
| 3257 ComplexMatrix | |
| 3723 | 3258 ComplexMatrix::cumsum (int dim) const |
| 458 | 3259 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3260 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumsum); |
| 458 | 3261 } |
| 3262 | |
| 3263 ComplexMatrix | |
| 3723 | 3264 ComplexMatrix::prod (int dim) const |
| 458 | 3265 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3266 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3267 } |
| 3268 | |
| 3269 ComplexMatrix | |
| 3723 | 3270 ComplexMatrix::sum (int dim) const |
| 458 | 3271 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3272 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_sum); |
| 458 | 3273 } |
| 3274 | |
| 3275 ComplexMatrix | |
| 3723 | 3276 ComplexMatrix::sumsq (int dim) const |
| 458 | 3277 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3278 return do_mx_red_op<Matrix, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3279 } |
| 3280 | |
| 4329 | 3281 Matrix ComplexMatrix::abs (void) const |
| 3282 { | |
|
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
|
3283 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
|
3284 rows (), cols ()); |
| 4329 | 3285 } |
| 3286 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3287 ComplexMatrix |
| 5275 | 3288 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3289 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3290 return MArray2<Complex>::diag (k); |
| 458 | 3291 } |
| 3292 | |
| 2354 | 3293 bool |
| 5275 | 3294 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3295 { |
| 3296 bool retval = true; | |
| 3297 | |
| 5275 | 3298 octave_idx_type nc = columns (); |
| 3299 | |
| 3300 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3301 { |
| 5315 | 3302 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3303 { |
| 3304 retval = false; | |
| 3305 break; | |
| 3306 } | |
| 3307 } | |
| 3308 | |
| 3309 return retval; | |
| 3310 } | |
| 3311 | |
| 3312 bool | |
| 5275 | 3313 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3314 { |
| 3315 bool retval = true; | |
| 3316 | |
| 5275 | 3317 octave_idx_type nr = rows (); |
| 3318 | |
| 3319 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3320 { |
| 5315 | 3321 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3322 { |
| 3323 retval = false; | |
| 3324 break; | |
| 3325 } | |
| 3326 } | |
| 3327 | |
| 3328 return retval; | |
| 3329 } | |
| 891 | 3330 |
| 458 | 3331 ComplexColumnVector |
| 3332 ComplexMatrix::row_min (void) const | |
| 3333 { | |
| 5275 | 3334 Array<octave_idx_type> dummy_idx; |
| 4587 | 3335 return row_min (dummy_idx); |
| 458 | 3336 } |
| 3337 | |
| 3338 ComplexColumnVector | |
| 5275 | 3339 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3340 { |
| 3341 ComplexColumnVector result; | |
| 3342 | |
| 5275 | 3343 octave_idx_type nr = rows (); |
| 3344 octave_idx_type nc = cols (); | |
| 458 | 3345 |
| 3346 if (nr > 0 && nc > 0) | |
| 3347 { | |
| 3348 result.resize (nr); | |
| 4587 | 3349 idx_arg.resize (nr); |
| 458 | 3350 |
| 5275 | 3351 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3352 { |
| 2354 | 3353 bool real_only = row_is_real_only (i); |
| 3354 | |
| 5275 | 3355 octave_idx_type idx_j; |
| 4469 | 3356 |
| 3357 Complex tmp_min; | |
| 3358 | |
| 3359 double abs_min = octave_NaN; | |
| 3360 | |
| 3361 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3362 { | |
| 3363 tmp_min = elem (i, idx_j); | |
| 3364 | |
| 5389 | 3365 if (! xisnan (tmp_min)) |
| 4469 | 3366 { |
| 5315 | 3367 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3368 break; |
| 3369 } | |
| 3370 } | |
| 3371 | |
| 5275 | 3372 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3373 { |
| 3374 Complex tmp = elem (i, j); | |
| 3375 | |
| 5389 | 3376 if (xisnan (tmp)) |
| 4469 | 3377 continue; |
| 3378 | |
| 5315 | 3379 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3380 |
| 3381 if (abs_tmp < abs_min) | |
| 3382 { | |
| 3383 idx_j = j; | |
| 3384 tmp_min = tmp; | |
| 3385 abs_min = abs_tmp; | |
| 3386 } | |
| 3387 } | |
| 3388 | |
| 5389 | 3389 if (xisnan (tmp_min)) |
| 4469 | 3390 { |
| 3391 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3392 idx_arg.elem (i) = 0; |
| 4469 | 3393 } |
| 891 | 3394 else |
| 3395 { | |
| 4469 | 3396 result.elem (i) = tmp_min; |
| 4587 | 3397 idx_arg.elem (i) = idx_j; |
| 891 | 3398 } |
| 458 | 3399 } |
| 3400 } | |
| 3401 | |
| 3402 return result; | |
| 3403 } | |
| 3404 | |
| 3405 ComplexColumnVector | |
| 3406 ComplexMatrix::row_max (void) const | |
| 3407 { | |
| 5275 | 3408 Array<octave_idx_type> dummy_idx; |
| 4587 | 3409 return row_max (dummy_idx); |
| 458 | 3410 } |
| 3411 | |
| 3412 ComplexColumnVector | |
| 5275 | 3413 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3414 { |
| 3415 ComplexColumnVector result; | |
| 3416 | |
| 5275 | 3417 octave_idx_type nr = rows (); |
| 3418 octave_idx_type nc = cols (); | |
| 458 | 3419 |
| 3420 if (nr > 0 && nc > 0) | |
| 3421 { | |
| 3422 result.resize (nr); | |
| 4587 | 3423 idx_arg.resize (nr); |
| 458 | 3424 |
| 5275 | 3425 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3426 { |
| 2354 | 3427 bool real_only = row_is_real_only (i); |
| 3428 | |
| 5275 | 3429 octave_idx_type idx_j; |
| 4469 | 3430 |
| 3431 Complex tmp_max; | |
| 3432 | |
| 3433 double abs_max = octave_NaN; | |
| 3434 | |
| 3435 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3436 { | |
| 3437 tmp_max = elem (i, idx_j); | |
| 3438 | |
| 5389 | 3439 if (! xisnan (tmp_max)) |
| 4469 | 3440 { |
| 5315 | 3441 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3442 break; |
| 3443 } | |
| 3444 } | |
| 3445 | |
| 5275 | 3446 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3447 { |
| 3448 Complex tmp = elem (i, j); | |
| 3449 | |
| 5389 | 3450 if (xisnan (tmp)) |
| 4469 | 3451 continue; |
| 3452 | |
| 5315 | 3453 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3454 |
| 3455 if (abs_tmp > abs_max) | |
| 3456 { | |
| 3457 idx_j = j; | |
| 3458 tmp_max = tmp; | |
| 3459 abs_max = abs_tmp; | |
| 3460 } | |
| 3461 } | |
| 3462 | |
| 5389 | 3463 if (xisnan (tmp_max)) |
| 4469 | 3464 { |
| 3465 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3466 idx_arg.elem (i) = 0; |
| 4469 | 3467 } |
| 891 | 3468 else |
| 3469 { | |
| 4469 | 3470 result.elem (i) = tmp_max; |
| 4587 | 3471 idx_arg.elem (i) = idx_j; |
| 891 | 3472 } |
| 458 | 3473 } |
| 3474 } | |
| 3475 | |
| 3476 return result; | |
| 3477 } | |
| 3478 | |
| 3479 ComplexRowVector | |
| 3480 ComplexMatrix::column_min (void) const | |
| 3481 { | |
| 5275 | 3482 Array<octave_idx_type> dummy_idx; |
| 4587 | 3483 return column_min (dummy_idx); |
| 458 | 3484 } |
| 3485 | |
| 3486 ComplexRowVector | |
| 5275 | 3487 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3488 { |
| 3489 ComplexRowVector result; | |
| 3490 | |
| 5275 | 3491 octave_idx_type nr = rows (); |
| 3492 octave_idx_type nc = cols (); | |
| 458 | 3493 |
| 3494 if (nr > 0 && nc > 0) | |
| 3495 { | |
| 3496 result.resize (nc); | |
| 4587 | 3497 idx_arg.resize (nc); |
| 458 | 3498 |
| 5275 | 3499 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3500 { |
| 2354 | 3501 bool real_only = column_is_real_only (j); |
| 3502 | |
| 5275 | 3503 octave_idx_type idx_i; |
| 4469 | 3504 |
| 3505 Complex tmp_min; | |
| 3506 | |
| 3507 double abs_min = octave_NaN; | |
| 3508 | |
| 3509 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3510 { | |
| 3511 tmp_min = elem (idx_i, j); | |
| 3512 | |
| 5389 | 3513 if (! xisnan (tmp_min)) |
| 4469 | 3514 { |
| 5315 | 3515 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3516 break; |
| 3517 } | |
| 3518 } | |
| 3519 | |
| 5275 | 3520 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3521 { |
| 3522 Complex tmp = elem (i, j); | |
| 3523 | |
| 5389 | 3524 if (xisnan (tmp)) |
| 4469 | 3525 continue; |
| 3526 | |
| 5315 | 3527 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3528 |
| 3529 if (abs_tmp < abs_min) | |
| 3530 { | |
| 3531 idx_i = i; | |
| 3532 tmp_min = tmp; | |
| 3533 abs_min = abs_tmp; | |
| 3534 } | |
| 3535 } | |
| 3536 | |
| 5389 | 3537 if (xisnan (tmp_min)) |
| 4469 | 3538 { |
| 3539 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3540 idx_arg.elem (j) = 0; |
| 4469 | 3541 } |
| 891 | 3542 else |
| 3543 { | |
| 4469 | 3544 result.elem (j) = tmp_min; |
| 4587 | 3545 idx_arg.elem (j) = idx_i; |
| 891 | 3546 } |
| 458 | 3547 } |
| 3548 } | |
| 3549 | |
| 3550 return result; | |
| 3551 } | |
| 3552 | |
| 3553 ComplexRowVector | |
| 3554 ComplexMatrix::column_max (void) const | |
| 3555 { | |
| 5275 | 3556 Array<octave_idx_type> dummy_idx; |
| 4587 | 3557 return column_max (dummy_idx); |
| 458 | 3558 } |
| 3559 | |
| 3560 ComplexRowVector | |
| 5275 | 3561 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3562 { |
| 3563 ComplexRowVector result; | |
| 3564 | |
| 5275 | 3565 octave_idx_type nr = rows (); |
| 3566 octave_idx_type nc = cols (); | |
| 458 | 3567 |
| 3568 if (nr > 0 && nc > 0) | |
| 3569 { | |
| 3570 result.resize (nc); | |
| 4587 | 3571 idx_arg.resize (nc); |
| 458 | 3572 |
| 5275 | 3573 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3574 { |
| 2354 | 3575 bool real_only = column_is_real_only (j); |
| 3576 | |
| 5275 | 3577 octave_idx_type idx_i; |
| 4469 | 3578 |
| 3579 Complex tmp_max; | |
| 3580 | |
| 3581 double abs_max = octave_NaN; | |
| 3582 | |
| 3583 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3584 { | |
| 3585 tmp_max = elem (idx_i, j); | |
| 3586 | |
| 5389 | 3587 if (! xisnan (tmp_max)) |
| 4469 | 3588 { |
| 5315 | 3589 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3590 break; |
| 3591 } | |
| 3592 } | |
| 3593 | |
| 5275 | 3594 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3595 { |
| 3596 Complex tmp = elem (i, j); | |
| 3597 | |
| 5389 | 3598 if (xisnan (tmp)) |
| 4469 | 3599 continue; |
| 3600 | |
| 5315 | 3601 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3602 |
| 3603 if (abs_tmp > abs_max) | |
| 3604 { | |
| 3605 idx_i = i; | |
| 3606 tmp_max = tmp; | |
| 3607 abs_max = abs_tmp; | |
| 3608 } | |
| 3609 } | |
| 3610 | |
| 5389 | 3611 if (xisnan (tmp_max)) |
| 4469 | 3612 { |
| 3613 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3614 idx_arg.elem (j) = 0; |
| 4469 | 3615 } |
| 891 | 3616 else |
| 3617 { | |
| 4469 | 3618 result.elem (j) = tmp_max; |
| 4587 | 3619 idx_arg.elem (j) = idx_i; |
| 891 | 3620 } |
| 458 | 3621 } |
| 3622 } | |
| 3623 | |
| 3624 return result; | |
| 3625 } | |
| 3626 | |
| 3627 // i/o | |
| 3628 | |
| 3504 | 3629 std::ostream& |
| 3630 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3631 { |
| 5275 | 3632 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3633 { |
| 5275 | 3634 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3635 { |
| 3636 os << " "; | |
| 3637 octave_write_complex (os, a.elem (i, j)); | |
| 3638 } | |
| 458 | 3639 os << "\n"; |
| 3640 } | |
| 3641 return os; | |
| 3642 } | |
| 3643 | |
| 3504 | 3644 std::istream& |
| 3645 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3646 { |
| 5275 | 3647 octave_idx_type nr = a.rows (); |
| 3648 octave_idx_type nc = a.cols (); | |
| 458 | 3649 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3650 if (nr > 0 && nc > 0) |
| 458 | 3651 { |
| 3652 Complex tmp; | |
| 5275 | 3653 for (octave_idx_type i = 0; i < nr; i++) |
| 3654 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3655 { |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9359
diff
changeset
|
3656 tmp = octave_read_value<Complex> (is); |
| 458 | 3657 if (is) |
| 3658 a.elem (i, j) = tmp; | |
| 3659 else | |
| 2993 | 3660 goto done; |
| 458 | 3661 } |
| 3662 } | |
| 3663 | |
| 2993 | 3664 done: |
| 3665 | |
| 458 | 3666 return is; |
| 3667 } | |
| 3668 | |
| 1819 | 3669 ComplexMatrix |
| 3670 Givens (const Complex& x, const Complex& y) | |
| 3671 { | |
| 3672 double cc; | |
| 3673 Complex cs, temp_r; | |
| 3674 | |
| 3887 | 3675 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3676 |
| 3677 ComplexMatrix g (2, 2); | |
| 3678 | |
| 3679 g.elem (0, 0) = cc; | |
| 3680 g.elem (1, 1) = cc; | |
| 3681 g.elem (0, 1) = cs; | |
| 3682 g.elem (1, 0) = -conj (cs); | |
| 3683 | |
| 3684 return g; | |
| 3685 } | |
| 3686 | |
| 3687 ComplexMatrix | |
| 3688 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3689 const ComplexMatrix& c) | |
| 3690 { | |
| 3691 ComplexMatrix retval; | |
| 3692 | |
| 5775 | 3693 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3694 // size. |
| 3695 | |
| 3696 // Compute Schur decompositions | |
| 3697 | |
| 3698 ComplexSCHUR as (a, "U"); | |
| 3699 ComplexSCHUR bs (b, "U"); | |
| 3700 | |
| 3701 // Transform c to new coordinates. | |
| 3702 | |
| 3703 ComplexMatrix ua = as.unitary_matrix (); | |
| 3704 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3705 | |
| 3706 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3707 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3708 | |
| 3709 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3710 | |
| 3711 // Solve the sylvester equation, back-transform, and return the | |
| 3712 // solution. | |
| 3713 | |
| 5275 | 3714 octave_idx_type a_nr = a.rows (); |
| 3715 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3716 |
| 3717 double scale; | |
| 5275 | 3718 octave_idx_type info; |
| 1950 | 3719 |
| 3720 Complex *pa = sch_a.fortran_vec (); | |
| 3721 Complex *pb = sch_b.fortran_vec (); | |
| 3722 Complex *px = cx.fortran_vec (); | |
| 1819 | 3723 |
| 4552 | 3724 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3725 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3726 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3727 b_nr, px, a_nr, scale, info | |
| 3728 F77_CHAR_ARG_LEN (1) | |
| 3729 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3730 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3731 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3732 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3733 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3734 |
| 3735 return retval; | |
| 3736 } | |
| 3737 | |
| 2828 | 3738 ComplexMatrix |
| 3739 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3740 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3741 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
|
3742 return ComplexMatrix (real (m) * a, imag (m) * a); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3743 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3744 return m * ComplexMatrix (a); |
| 2828 | 3745 } |
| 3746 | |
| 3747 ComplexMatrix | |
| 3748 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3749 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3750 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
|
3751 return ComplexMatrix (m * real (a), m * imag (a)); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3752 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3753 return m * ComplexMatrix (a); |
| 2828 | 3754 } |
| 3755 | |
| 6162 | 3756 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3757 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3758 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3759 %!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
|
3760 %!assert([1 i]*[i 0]', -i); |
| 6162 | 3761 */ |
| 3762 | |
| 3763 /* Test some simple identities | |
| 3764 %!shared M, cv, rv | |
| 3765 %! M = randn(10,10)+i*rand(10,10); | |
| 3766 %! cv = randn(10,1)+i*rand(10,1); | |
| 3767 %! rv = randn(1,10)+i*rand(1,10); | |
| 3768 %!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
|
3769 %!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
|
3770 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3771 %!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
|
3772 %!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
|
3773 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3774 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3775 */ | |
| 3776 | |
|
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
|
3777 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
|
3778 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
|
3779 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3780 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
|
3781 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
|
3782 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3783 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3784 // 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
|
3785 |
| 2828 | 3786 ComplexMatrix |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3787 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3788 blas_trans_type transa, blas_trans_type transb) |
| 2828 | 3789 { |
| 3790 ComplexMatrix retval; | |
| 3791 | |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3792 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
|
3793 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
|
3794 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3795 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
|
3796 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
|
3797 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3798 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
|
3799 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
|
3800 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3801 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
|
3802 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3803 else |
| 3804 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3805 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
|
3806 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
|
3807 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
|
3808 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3811 retval = ComplexMatrix (a_nr, b_nc); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3812 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3813 |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3814 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
|
3815 if (cja || cjb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 F77_XFCN (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
|
3818 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3823 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3824 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3825 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
|
3826 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3827 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3828 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3829 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
|
3830 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3831 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3832 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3833 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3834 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3835 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3836 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3837 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3838 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3839 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3840 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3841 } |
| 2828 | 3842 else |
| 3843 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3844 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
|
3845 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
|
3846 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3847 retval = ComplexMatrix (a_nr, b_nc); |
| 2828 | 3848 Complex *c = retval.fortran_vec (); |
| 3849 | |
|
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 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3851 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3852 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
|
3853 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3854 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
|
3855 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
|
3856 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3857 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
|
3858 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
|
3859 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
|
3860 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
|
3861 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3862 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
|
3863 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3864 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
|
3865 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
|
3866 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
|
3867 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
|
3868 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
|
3869 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3870 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
|
3871 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3872 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
|
3873 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
|
3874 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
|
3875 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
|
3876 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
|
3877 } |
| 5983 | 3878 else |
| 6390 | 3879 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3880 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
|
3881 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
|
3882 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
|
3883 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
|
3884 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
|
3885 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3886 F77_CHAR_ARG_LEN (1) |
| 3887 F77_CHAR_ARG_LEN (1))); | |
| 3888 } | |
| 2828 | 3889 } |
| 3890 } | |
| 3891 | |
| 3892 return retval; | |
| 3893 } | |
| 3894 | |
|
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
|
3895 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
|
3896 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
|
3897 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3898 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
|
3899 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3900 |
| 5775 | 3901 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3902 // functions below. |
| 3903 | |
| 3904 #define EMPTY_RETURN_CHECK(T) \ | |
| 3905 if (nr == 0 || nc == 0) \ | |
| 3906 return T (nr, nc); | |
| 3907 | |
| 3908 ComplexMatrix | |
| 3909 min (const Complex& c, const ComplexMatrix& m) | |
| 3910 { | |
| 5275 | 3911 octave_idx_type nr = m.rows (); |
| 3912 octave_idx_type nc = m.columns (); | |
| 4309 | 3913 |
| 3914 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3915 | |
| 3916 ComplexMatrix result (nr, nc); | |
| 3917 | |
| 5275 | 3918 for (octave_idx_type j = 0; j < nc; j++) |
| 3919 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3920 { |
| 3921 OCTAVE_QUIT; | |
| 3922 result (i, j) = xmin (c, m (i, j)); | |
| 3923 } | |
| 3924 | |
| 3925 return result; | |
| 3926 } | |
| 3927 | |
| 3928 ComplexMatrix | |
| 3929 min (const ComplexMatrix& m, const Complex& c) | |
| 3930 { | |
| 5275 | 3931 octave_idx_type nr = m.rows (); |
| 3932 octave_idx_type nc = m.columns (); | |
| 4309 | 3933 |
| 3934 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3935 | |
| 3936 ComplexMatrix result (nr, nc); | |
| 3937 | |
| 5275 | 3938 for (octave_idx_type j = 0; j < nc; j++) |
| 3939 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3940 { |
| 3941 OCTAVE_QUIT; | |
| 3942 result (i, j) = xmin (m (i, j), c); | |
| 3943 } | |
| 3944 | |
| 3945 return result; | |
| 3946 } | |
| 3947 | |
| 3948 ComplexMatrix | |
| 3949 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3950 { | |
| 5275 | 3951 octave_idx_type nr = a.rows (); |
| 3952 octave_idx_type nc = a.columns (); | |
| 4309 | 3953 |
| 3954 if (nr != b.rows () || nc != b.columns ()) | |
| 3955 { | |
| 3956 (*current_liboctave_error_handler) | |
| 3957 ("two-arg min expecting args of same size"); | |
| 3958 return ComplexMatrix (); | |
| 3959 } | |
| 3960 | |
| 3961 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3962 | |
| 3963 ComplexMatrix result (nr, nc); | |
| 3964 | |
| 5275 | 3965 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3966 { |
| 3967 int columns_are_real_only = 1; | |
| 5275 | 3968 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3969 { |
| 3970 OCTAVE_QUIT; | |
| 5315 | 3971 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3972 { |
| 3973 columns_are_real_only = 0; | |
| 3974 break; | |
| 3975 } | |
| 3976 } | |
| 3977 | |
| 3978 if (columns_are_real_only) | |
| 3979 { | |
| 5275 | 3980 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3981 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3982 } |
| 3983 else | |
| 3984 { | |
| 5275 | 3985 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3986 { |
| 3987 OCTAVE_QUIT; | |
| 3988 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3989 } | |
| 3990 } | |
| 3991 } | |
| 3992 | |
| 3993 return result; | |
| 3994 } | |
| 3995 | |
| 3996 ComplexMatrix | |
| 3997 max (const Complex& c, const ComplexMatrix& m) | |
| 3998 { | |
| 5275 | 3999 octave_idx_type nr = m.rows (); |
| 4000 octave_idx_type nc = m.columns (); | |
| 4309 | 4001 |
| 4002 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4003 | |
| 4004 ComplexMatrix result (nr, nc); | |
| 4005 | |
| 5275 | 4006 for (octave_idx_type j = 0; j < nc; j++) |
| 4007 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4008 { |
| 4009 OCTAVE_QUIT; | |
| 4010 result (i, j) = xmax (c, m (i, j)); | |
| 4011 } | |
| 4012 | |
| 4013 return result; | |
| 4014 } | |
| 4015 | |
| 4016 ComplexMatrix | |
| 4017 max (const ComplexMatrix& m, const Complex& c) | |
| 4018 { | |
| 5275 | 4019 octave_idx_type nr = m.rows (); |
| 4020 octave_idx_type nc = m.columns (); | |
| 4309 | 4021 |
| 4022 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4023 | |
| 4024 ComplexMatrix result (nr, nc); | |
| 4025 | |
| 5275 | 4026 for (octave_idx_type j = 0; j < nc; j++) |
| 4027 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4028 { |
| 4029 OCTAVE_QUIT; | |
| 4030 result (i, j) = xmax (m (i, j), c); | |
| 4031 } | |
| 4032 | |
| 4033 return result; | |
| 4034 } | |
| 4035 | |
| 4036 ComplexMatrix | |
| 4037 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4038 { | |
| 5275 | 4039 octave_idx_type nr = a.rows (); |
| 4040 octave_idx_type nc = a.columns (); | |
| 4309 | 4041 |
| 4042 if (nr != b.rows () || nc != b.columns ()) | |
| 4043 { | |
| 4044 (*current_liboctave_error_handler) | |
| 4045 ("two-arg max expecting args of same size"); | |
| 4046 return ComplexMatrix (); | |
| 4047 } | |
| 4048 | |
| 4049 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4050 | |
| 4051 ComplexMatrix result (nr, nc); | |
| 4052 | |
| 5275 | 4053 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4054 { |
| 4055 int columns_are_real_only = 1; | |
| 5275 | 4056 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4057 { |
| 4058 OCTAVE_QUIT; | |
| 5315 | 4059 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4060 { |
| 4061 columns_are_real_only = 0; | |
| 4062 break; | |
| 4063 } | |
| 4064 } | |
| 4065 | |
| 4066 if (columns_are_real_only) | |
| 4067 { | |
| 5275 | 4068 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4069 { |
| 4070 OCTAVE_QUIT; | |
| 5315 | 4071 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4072 } |
| 4073 } | |
| 4074 else | |
| 4075 { | |
| 5275 | 4076 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4077 { |
| 4078 OCTAVE_QUIT; | |
| 4079 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4080 } | |
| 4081 } | |
| 4082 } | |
| 4083 | |
| 4084 return result; | |
| 4085 } | |
| 4086 | |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4087 ComplexMatrix linspace (const ComplexColumnVector& x1, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4088 const ComplexColumnVector& x2, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4089 octave_idx_type n) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4090 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4091 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4092 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4093 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4094 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4095 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4096 if (x2.length () != m) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4097 (*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
|
4098 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4099 NoAlias<ComplexMatrix> retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4100 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4101 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4102 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4103 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4104 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4105 // 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
|
4106 Complex *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4107 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4108 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4109 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4110 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4111 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
|
4112 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
|
4113 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4114 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4115 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4116 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4117 return retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4118 } |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4119 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4120 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4121 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4122 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4123 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4124 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4125 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4126 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4127 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |
| 2870 | 4128 |
| 458 | 4129 /* |
| 4130 ;;; Local Variables: *** | |
| 4131 ;;; mode: C++ *** | |
| 4132 ;;; End: *** | |
| 4133 */ |