Mercurial > hg > octave-nkf
annotate liboctave/array/dMatrix.cc @ 19040:479d1d3cb5c3
maint: Periodic merge of gui-release to default.
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 19 Jun 2014 18:08:00 -0400 |
parents | aa9ca67f09fb b314efd58072 |
children | d20c81d3cd21 |
rev | line source |
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1993 | 1 // Matrix manipulations. |
458 | 2 /* |
3 | |
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4 Copyright (C) 1994-2013 John W. Eaton |
7803 | 5 Copyright (C) 2008 Jaroslav Hajek |
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6 Copyright (C) 2009 VZLU Prague, a.s. |
458 | 7 |
8 This file is part of Octave. | |
9 | |
10 Octave is free software; you can redistribute it and/or modify it | |
11 under the terms of the GNU General Public License as published by the | |
7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
13 option) any later version. | |
458 | 14 |
15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
18 for more details. | |
19 | |
20 You should have received a copy of the GNU General Public License | |
7016 | 21 along with Octave; see the file COPYING. If not, see |
22 <http://www.gnu.org/licenses/>. | |
458 | 23 |
24 */ | |
25 | |
26 #ifdef HAVE_CONFIG_H | |
1192 | 27 #include <config.h> |
458 | 28 #endif |
29 | |
1367 | 30 #include <cfloat> |
31 | |
3503 | 32 #include <iostream> |
6209 | 33 #include <vector> |
1367 | 34 |
4669 | 35 #include "Array-util.h" |
2317 | 36 #include "byte-swap.h" |
2828 | 37 #include "dMatrix.h" |
1819 | 38 #include "dbleAEPBAL.h" |
8335 | 39 #include "DET.h" |
1819 | 40 #include "dbleSCHUR.h" |
740 | 41 #include "dbleSVD.h" |
6207 | 42 #include "dbleCHOL.h" |
1847 | 43 #include "f77-fcn.h" |
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44 #include "functor.h" |
458 | 45 #include "lo-error.h" |
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46 #include "oct-locbuf.h" |
2354 | 47 #include "lo-ieee.h" |
48 #include "lo-mappers.h" | |
1968 | 49 #include "lo-utils.h" |
1367 | 50 #include "mx-base.h" |
2828 | 51 #include "mx-m-dm.h" |
3176 | 52 #include "mx-dm-m.h" |
1367 | 53 #include "mx-inlines.cc" |
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54 #include "mx-op-defs.h" |
1650 | 55 #include "oct-cmplx.h" |
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56 #include "oct-fftw.h" |
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57 #include "oct-norm.h" |
4153 | 58 #include "quit.h" |
458 | 59 |
60 // Fortran functions we call. | |
61 | |
62 extern "C" | |
63 { | |
7478 | 64 F77_RET_T |
11518 | 65 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, |
66 F77_CONST_CHAR_ARG_DECL, | |
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67 F77_CONST_CHAR_ARG_DECL, |
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68 const octave_idx_type&, const octave_idx_type&, |
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69 const octave_idx_type&, const octave_idx_type&, |
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70 octave_idx_type& |
11518 | 71 F77_CHAR_ARG_LEN_DECL |
72 F77_CHAR_ARG_LEN_DECL); | |
7476 | 73 |
4552 | 74 F77_RET_T |
75 F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
11518 | 76 const octave_idx_type&, double*, |
77 const octave_idx_type&, octave_idx_type&, | |
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78 octave_idx_type&, double*, octave_idx_type& |
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79 F77_CHAR_ARG_LEN_DECL); |
4552 | 80 |
81 F77_RET_T | |
82 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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83 F77_CONST_CHAR_ARG_DECL, |
11518 | 84 const octave_idx_type&, const octave_idx_type&, |
85 const octave_idx_type&, double*, | |
86 const octave_idx_type&, double*, | |
87 const octave_idx_type&, octave_idx_type& | |
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88 F77_CHAR_ARG_LEN_DECL |
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89 F77_CHAR_ARG_LEN_DECL); |
4552 | 90 |
91 | |
92 F77_RET_T | |
93 F77_FUNC (dgemm, DGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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94 F77_CONST_CHAR_ARG_DECL, |
11518 | 95 const octave_idx_type&, const octave_idx_type&, |
96 const octave_idx_type&, const double&, | |
97 const double*, const octave_idx_type&, | |
98 const double*, const octave_idx_type&, | |
99 const double&, double*, const octave_idx_type& | |
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100 F77_CHAR_ARG_LEN_DECL |
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101 F77_CHAR_ARG_LEN_DECL); |
4552 | 102 |
103 F77_RET_T | |
5983 | 104 F77_FUNC (dgemv, DGEMV) (F77_CONST_CHAR_ARG_DECL, |
11518 | 105 const octave_idx_type&, const octave_idx_type&, |
106 const double&, const double*, | |
107 const octave_idx_type&, const double*, | |
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108 const octave_idx_type&, const double&, double*, |
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109 const octave_idx_type& |
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110 F77_CHAR_ARG_LEN_DECL); |
5983 | 111 |
112 F77_RET_T | |
11518 | 113 F77_FUNC (xddot, XDDOT) (const octave_idx_type&, const double*, |
114 const octave_idx_type&, const double*, | |
115 const octave_idx_type&, double&); | |
5983 | 116 |
117 F77_RET_T | |
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118 F77_FUNC (dsyrk, DSYRK) (F77_CONST_CHAR_ARG_DECL, |
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119 F77_CONST_CHAR_ARG_DECL, |
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120 const octave_idx_type&, const octave_idx_type&, |
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121 const double&, const double*, const octave_idx_type&, |
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122 const double&, double*, const octave_idx_type& |
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123 F77_CHAR_ARG_LEN_DECL |
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124 F77_CHAR_ARG_LEN_DECL); |
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125 |
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126 F77_RET_T |
11518 | 127 F77_FUNC (dgetrf, DGETRF) (const octave_idx_type&, const octave_idx_type&, |
128 double*, const octave_idx_type&, | |
129 octave_idx_type*, octave_idx_type&); | |
4329 | 130 |
4552 | 131 F77_RET_T |
11518 | 132 F77_FUNC (dgetrs, DGETRS) (F77_CONST_CHAR_ARG_DECL, |
133 const octave_idx_type&, const octave_idx_type&, | |
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134 const double*, const octave_idx_type&, |
11518 | 135 const octave_idx_type*, double*, |
136 const octave_idx_type&, octave_idx_type& | |
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137 F77_CHAR_ARG_LEN_DECL); |
4552 | 138 |
139 F77_RET_T | |
11518 | 140 F77_FUNC (dgetri, DGETRI) (const octave_idx_type&, double*, |
141 const octave_idx_type&, const octave_idx_type*, | |
142 double*, const octave_idx_type&, | |
143 octave_idx_type&); | |
4552 | 144 |
145 F77_RET_T | |
11518 | 146 F77_FUNC (dgecon, DGECON) (F77_CONST_CHAR_ARG_DECL, |
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147 const octave_idx_type&, double*, |
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148 const octave_idx_type&, const double&, double&, |
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149 double*, octave_idx_type*, octave_idx_type& |
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150 F77_CHAR_ARG_LEN_DECL); |
4552 | 151 |
152 F77_RET_T | |
11518 | 153 F77_FUNC (dgelsy, DGELSY) (const octave_idx_type&, const octave_idx_type&, |
154 const octave_idx_type&, double*, | |
155 const octave_idx_type&, double*, | |
156 const octave_idx_type&, octave_idx_type*, | |
157 double&, octave_idx_type&, double*, | |
158 const octave_idx_type&, octave_idx_type&); | |
7072 | 159 |
160 F77_RET_T | |
11518 | 161 F77_FUNC (dgelsd, DGELSD) (const octave_idx_type&, const octave_idx_type&, |
162 const octave_idx_type&, double*, | |
163 const octave_idx_type&, double*, | |
164 const octave_idx_type&, double*, double&, | |
165 octave_idx_type&, double*, | |
166 const octave_idx_type&, octave_idx_type*, | |
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167 octave_idx_type&); |
458 | 168 |
5785 | 169 F77_RET_T |
11518 | 170 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL, |
171 const octave_idx_type&, double *, | |
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172 const octave_idx_type&, octave_idx_type& |
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173 F77_CHAR_ARG_LEN_DECL); |
5785 | 174 |
175 F77_RET_T | |
11518 | 176 F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL, |
177 const octave_idx_type&, double*, | |
178 const octave_idx_type&, const double&, | |
179 double&, double*, octave_idx_type*, | |
180 octave_idx_type& | |
181 F77_CHAR_ARG_LEN_DECL); | |
182 F77_RET_T | |
183 F77_FUNC (dpotrs, DPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
184 const octave_idx_type&, const octave_idx_type&, | |
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185 const double*, const octave_idx_type&, double*, |
11518 | 186 const octave_idx_type&, octave_idx_type& |
187 F77_CHAR_ARG_LEN_DECL); | |
188 | |
189 F77_RET_T | |
190 F77_FUNC (dtrtri, DTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
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191 F77_CONST_CHAR_ARG_DECL, |
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192 const octave_idx_type&, const double*, |
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193 const octave_idx_type&, octave_idx_type& |
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194 F77_CHAR_ARG_LEN_DECL |
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195 F77_CHAR_ARG_LEN_DECL); |
6207 | 196 F77_RET_T |
11518 | 197 F77_FUNC (dtrcon, DTRCON) (F77_CONST_CHAR_ARG_DECL, |
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198 F77_CONST_CHAR_ARG_DECL, |
11518 | 199 F77_CONST_CHAR_ARG_DECL, |
200 const octave_idx_type&, const double*, | |
201 const octave_idx_type&, double&, | |
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202 double*, octave_idx_type*, octave_idx_type& |
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203 F77_CHAR_ARG_LEN_DECL |
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204 F77_CHAR_ARG_LEN_DECL |
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205 F77_CHAR_ARG_LEN_DECL); |
5785 | 206 F77_RET_T |
11518 | 207 F77_FUNC (dtrtrs, DTRTRS) (F77_CONST_CHAR_ARG_DECL, |
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208 F77_CONST_CHAR_ARG_DECL, |
11518 | 209 F77_CONST_CHAR_ARG_DECL, |
210 const octave_idx_type&, const octave_idx_type&, | |
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211 const double*, const octave_idx_type&, double*, |
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212 const octave_idx_type&, octave_idx_type& |
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213 F77_CHAR_ARG_LEN_DECL |
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214 F77_CHAR_ARG_LEN_DECL |
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215 F77_CHAR_ARG_LEN_DECL); |
5785 | 216 |
4552 | 217 F77_RET_T |
218 F77_FUNC (dlartg, DLARTG) (const double&, const double&, double&, | |
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219 double&, double&); |
4552 | 220 |
221 F77_RET_T | |
222 F77_FUNC (dtrsyl, DTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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223 F77_CONST_CHAR_ARG_DECL, |
11518 | 224 const octave_idx_type&, const octave_idx_type&, |
225 const octave_idx_type&, const double*, | |
226 const octave_idx_type&, const double*, | |
227 const octave_idx_type&, const double*, | |
228 const octave_idx_type&, double&, octave_idx_type& | |
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229 F77_CHAR_ARG_LEN_DECL |
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230 F77_CHAR_ARG_LEN_DECL); |
4552 | 231 |
232 F77_RET_T | |
11518 | 233 F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL, |
234 const octave_idx_type&, const octave_idx_type&, | |
235 const double*, const octave_idx_type&, | |
236 double*, double& | |
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237 F77_CHAR_ARG_LEN_DECL); |
458 | 238 } |
239 | |
1360 | 240 // Matrix class. |
458 | 241 |
2349 | 242 Matrix::Matrix (const RowVector& rv) |
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243 : MArray<double> (rv) |
2349 | 244 { |
245 } | |
246 | |
247 Matrix::Matrix (const ColumnVector& cv) | |
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248 : MArray<double> (cv) |
2349 | 249 { |
250 } | |
251 | |
458 | 252 Matrix::Matrix (const DiagMatrix& a) |
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253 : MArray<double> (a.dims (), 0.0) |
458 | 254 { |
5275 | 255 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 256 elem (i, i) = a.elem (i, i); |
257 } | |
258 | |
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259 Matrix::Matrix (const PermMatrix& a) |
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260 : MArray<double> (a.dims (), 0.0) |
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261 { |
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262 const Array<octave_idx_type> ia (a.col_perm_vec ()); |
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263 octave_idx_type len = a.rows (); |
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264 for (octave_idx_type i = 0; i < len; i++) |
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265 elem (ia(i), i) = 1.0; |
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266 } |
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267 |
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268 // FIXME: could we use a templated mixed-type copy function here? |
1574 | 269 |
2828 | 270 Matrix::Matrix (const boolMatrix& a) |
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271 : MArray<double> (a) |
2828 | 272 { |
273 } | |
274 | |
1574 | 275 Matrix::Matrix (const charMatrix& a) |
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276 : MArray<double> (a.dims ()) |
1574 | 277 { |
5275 | 278 for (octave_idx_type i = 0; i < a.rows (); i++) |
279 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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280 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
1574 | 281 } |
282 | |
2385 | 283 bool |
458 | 284 Matrix::operator == (const Matrix& a) const |
285 { | |
286 if (rows () != a.rows () || cols () != a.cols ()) | |
2385 | 287 return false; |
458 | 288 |
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289 return mx_inline_equal (length (), data (), a.data ()); |
458 | 290 } |
291 | |
2385 | 292 bool |
458 | 293 Matrix::operator != (const Matrix& a) const |
294 { | |
295 return !(*this == a); | |
296 } | |
297 | |
3354 | 298 bool |
299 Matrix::is_symmetric (void) const | |
300 { | |
301 if (is_square () && rows () > 0) | |
302 { | |
5275 | 303 for (octave_idx_type i = 0; i < rows (); i++) |
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304 for (octave_idx_type j = i+1; j < cols (); j++) |
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305 if (elem (i, j) != elem (j, i)) |
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306 return false; |
3354 | 307 |
308 return true; | |
309 } | |
310 | |
311 return false; | |
312 } | |
313 | |
458 | 314 Matrix& |
5275 | 315 Matrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
458 | 316 { |
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317 Array<double>::insert (a, r, c); |
458 | 318 return *this; |
319 } | |
320 | |
321 Matrix& | |
5275 | 322 Matrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
458 | 323 { |
5275 | 324 octave_idx_type a_len = a.length (); |
4316 | 325 |
1698 | 326 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
458 | 327 { |
328 (*current_liboctave_error_handler) ("range error for insert"); | |
329 return *this; | |
330 } | |
331 | |
4316 | 332 if (a_len > 0) |
333 { | |
334 make_unique (); | |
335 | |
5275 | 336 for (octave_idx_type i = 0; i < a_len; i++) |
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337 xelem (r, c+i) = a.elem (i); |
4316 | 338 } |
458 | 339 |
340 return *this; | |
341 } | |
342 | |
343 Matrix& | |
5275 | 344 Matrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
458 | 345 { |
5275 | 346 octave_idx_type a_len = a.length (); |
4316 | 347 |
1698 | 348 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
458 | 349 { |
350 (*current_liboctave_error_handler) ("range error for insert"); | |
351 return *this; | |
352 } | |
353 | |
4316 | 354 if (a_len > 0) |
355 { | |
356 make_unique (); | |
357 | |
5275 | 358 for (octave_idx_type i = 0; i < a_len; i++) |
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359 xelem (r+i, c) = a.elem (i); |
4316 | 360 } |
458 | 361 |
362 return *this; | |
363 } | |
364 | |
365 Matrix& | |
5275 | 366 Matrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
458 | 367 { |
5275 | 368 octave_idx_type a_nr = a.rows (); |
369 octave_idx_type a_nc = a.cols (); | |
1697 | 370 |
1698 | 371 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) |
458 | 372 { |
373 (*current_liboctave_error_handler) ("range error for insert"); | |
374 return *this; | |
375 } | |
376 | |
1697 | 377 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
378 | |
5275 | 379 octave_idx_type a_len = a.length (); |
4316 | 380 |
381 if (a_len > 0) | |
382 { | |
383 make_unique (); | |
384 | |
5275 | 385 for (octave_idx_type i = 0; i < a_len; i++) |
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386 xelem (r+i, c+i) = a.elem (i, i); |
4316 | 387 } |
458 | 388 |
389 return *this; | |
390 } | |
391 | |
392 Matrix& | |
393 Matrix::fill (double val) | |
394 { | |
5275 | 395 octave_idx_type nr = rows (); |
396 octave_idx_type nc = cols (); | |
4316 | 397 |
458 | 398 if (nr > 0 && nc > 0) |
4316 | 399 { |
400 make_unique (); | |
401 | |
5275 | 402 for (octave_idx_type j = 0; j < nc; j++) |
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403 for (octave_idx_type i = 0; i < nr; i++) |
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404 xelem (i, j) = val; |
4316 | 405 } |
458 | 406 |
407 return *this; | |
408 } | |
409 | |
410 Matrix& | |
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411 Matrix::fill (double val, octave_idx_type r1, octave_idx_type c1, |
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412 octave_idx_type r2, octave_idx_type c2) |
458 | 413 { |
5275 | 414 octave_idx_type nr = rows (); |
415 octave_idx_type nc = cols (); | |
4316 | 416 |
458 | 417 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
418 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
419 { | |
420 (*current_liboctave_error_handler) ("range error for fill"); | |
421 return *this; | |
422 } | |
423 | |
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424 if (r1 > r2) { std::swap (r1, r2); } |
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425 if (c1 > c2) { std::swap (c1, c2); } |
458 | 426 |
4316 | 427 if (r2 >= r1 && c2 >= c1) |
428 { | |
429 make_unique (); | |
430 | |
5275 | 431 for (octave_idx_type j = c1; j <= c2; j++) |
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432 for (octave_idx_type i = r1; i <= r2; i++) |
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433 xelem (i, j) = val; |
4316 | 434 } |
458 | 435 |
436 return *this; | |
437 } | |
438 | |
439 Matrix | |
440 Matrix::append (const Matrix& a) const | |
441 { | |
5275 | 442 octave_idx_type nr = rows (); |
443 octave_idx_type nc = cols (); | |
458 | 444 if (nr != a.rows ()) |
445 { | |
446 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
447 return Matrix (); | |
448 } | |
449 | |
5275 | 450 octave_idx_type nc_insert = nc; |
458 | 451 Matrix retval (nr, nc + a.cols ()); |
452 retval.insert (*this, 0, 0); | |
453 retval.insert (a, 0, nc_insert); | |
454 return retval; | |
455 } | |
456 | |
457 Matrix | |
458 Matrix::append (const RowVector& a) const | |
459 { | |
5275 | 460 octave_idx_type nr = rows (); |
461 octave_idx_type nc = cols (); | |
458 | 462 if (nr != 1) |
463 { | |
464 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
465 return Matrix (); | |
466 } | |
467 | |
5275 | 468 octave_idx_type nc_insert = nc; |
458 | 469 Matrix retval (nr, nc + a.length ()); |
470 retval.insert (*this, 0, 0); | |
471 retval.insert (a, 0, nc_insert); | |
472 return retval; | |
473 } | |
474 | |
475 Matrix | |
476 Matrix::append (const ColumnVector& a) const | |
477 { | |
5275 | 478 octave_idx_type nr = rows (); |
479 octave_idx_type nc = cols (); | |
458 | 480 if (nr != a.length ()) |
481 { | |
482 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
483 return Matrix (); | |
484 } | |
485 | |
5275 | 486 octave_idx_type nc_insert = nc; |
458 | 487 Matrix retval (nr, nc + 1); |
488 retval.insert (*this, 0, 0); | |
489 retval.insert (a, 0, nc_insert); | |
490 return retval; | |
491 } | |
492 | |
493 Matrix | |
494 Matrix::append (const DiagMatrix& a) const | |
495 { | |
5275 | 496 octave_idx_type nr = rows (); |
497 octave_idx_type nc = cols (); | |
458 | 498 if (nr != a.rows ()) |
499 { | |
500 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
501 return *this; | |
502 } | |
503 | |
5275 | 504 octave_idx_type nc_insert = nc; |
458 | 505 Matrix retval (nr, nc + a.cols ()); |
506 retval.insert (*this, 0, 0); | |
507 retval.insert (a, 0, nc_insert); | |
508 return retval; | |
509 } | |
510 | |
511 Matrix | |
512 Matrix::stack (const Matrix& a) const | |
513 { | |
5275 | 514 octave_idx_type nr = rows (); |
515 octave_idx_type nc = cols (); | |
458 | 516 if (nc != a.cols ()) |
517 { | |
518 (*current_liboctave_error_handler) | |
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519 ("column dimension mismatch for stack"); |
458 | 520 return Matrix (); |
521 } | |
522 | |
5275 | 523 octave_idx_type nr_insert = nr; |
458 | 524 Matrix retval (nr + a.rows (), nc); |
525 retval.insert (*this, 0, 0); | |
526 retval.insert (a, nr_insert, 0); | |
527 return retval; | |
528 } | |
529 | |
530 Matrix | |
531 Matrix::stack (const RowVector& a) const | |
532 { | |
5275 | 533 octave_idx_type nr = rows (); |
534 octave_idx_type nc = cols (); | |
458 | 535 if (nc != a.length ()) |
536 { | |
537 (*current_liboctave_error_handler) | |
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538 ("column dimension mismatch for stack"); |
458 | 539 return Matrix (); |
540 } | |
541 | |
5275 | 542 octave_idx_type nr_insert = nr; |
458 | 543 Matrix retval (nr + 1, nc); |
544 retval.insert (*this, 0, 0); | |
545 retval.insert (a, nr_insert, 0); | |
546 return retval; | |
547 } | |
548 | |
549 Matrix | |
550 Matrix::stack (const ColumnVector& a) const | |
551 { | |
5275 | 552 octave_idx_type nr = rows (); |
553 octave_idx_type nc = cols (); | |
458 | 554 if (nc != 1) |
555 { | |
556 (*current_liboctave_error_handler) | |
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557 ("column dimension mismatch for stack"); |
458 | 558 return Matrix (); |
559 } | |
560 | |
5275 | 561 octave_idx_type nr_insert = nr; |
458 | 562 Matrix retval (nr + a.length (), nc); |
563 retval.insert (*this, 0, 0); | |
564 retval.insert (a, nr_insert, 0); | |
565 return retval; | |
566 } | |
567 | |
568 Matrix | |
569 Matrix::stack (const DiagMatrix& a) const | |
570 { | |
5275 | 571 octave_idx_type nr = rows (); |
572 octave_idx_type nc = cols (); | |
458 | 573 if (nc != a.cols ()) |
574 { | |
575 (*current_liboctave_error_handler) | |
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576 ("column dimension mismatch for stack"); |
458 | 577 return Matrix (); |
578 } | |
579 | |
5275 | 580 octave_idx_type nr_insert = nr; |
458 | 581 Matrix retval (nr + a.rows (), nc); |
582 retval.insert (*this, 0, 0); | |
583 retval.insert (a, nr_insert, 0); | |
584 return retval; | |
585 } | |
586 | |
587 Matrix | |
1205 | 588 real (const ComplexMatrix& a) |
589 { | |
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590 return do_mx_unary_op<double, Complex> (a, mx_inline_real); |
1205 | 591 } |
592 | |
593 Matrix | |
594 imag (const ComplexMatrix& a) | |
595 { | |
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596 return do_mx_unary_op<double, Complex> (a, mx_inline_imag); |
1205 | 597 } |
598 | |
599 Matrix | |
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600 Matrix::extract (octave_idx_type r1, octave_idx_type c1, |
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601 octave_idx_type r2, octave_idx_type c2) const |
458 | 602 { |
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603 if (r1 > r2) { std::swap (r1, r2); } |
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604 if (c1 > c2) { std::swap (c1, c2); } |
5275 | 605 |
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606 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
4316 | 607 } |
608 | |
609 Matrix | |
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610 Matrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, |
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611 octave_idx_type nc) const |
4316 | 612 { |
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613 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
458 | 614 } |
615 | |
616 // extract row or column i. | |
617 | |
618 RowVector | |
5275 | 619 Matrix::row (octave_idx_type i) const |
458 | 620 { |
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621 return index (idx_vector (i), idx_vector::colon); |
458 | 622 } |
623 | |
624 ColumnVector | |
5275 | 625 Matrix::column (octave_idx_type i) const |
458 | 626 { |
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627 return index (idx_vector::colon, idx_vector (i)); |
458 | 628 } |
629 | |
630 Matrix | |
631 Matrix::inverse (void) const | |
632 { | |
5275 | 633 octave_idx_type info; |
7788 | 634 double rcon; |
6207 | 635 MatrixType mattype (*this); |
7788 | 636 return inverse (mattype, info, rcon, 0, 0); |
6207 | 637 } |
638 | |
639 Matrix | |
6479 | 640 Matrix::inverse (octave_idx_type& info) const |
641 { | |
7788 | 642 double rcon; |
6479 | 643 MatrixType mattype (*this); |
7788 | 644 return inverse (mattype, info, rcon, 0, 0); |
6479 | 645 } |
646 | |
647 Matrix | |
7788 | 648 Matrix::inverse (octave_idx_type& info, double& rcon, int force, |
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649 int calc_cond) const |
6479 | 650 { |
651 MatrixType mattype (*this); | |
7788 | 652 return inverse (mattype, info, rcon, force, calc_cond); |
6479 | 653 } |
654 | |
655 Matrix | |
6207 | 656 Matrix::inverse (MatrixType& mattype) const |
657 { | |
658 octave_idx_type info; | |
7788 | 659 double rcon; |
660 return inverse (mattype, info, rcon, 0, 0); | |
6207 | 661 } |
662 | |
663 Matrix | |
664 Matrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
665 { | |
7788 | 666 double rcon; |
667 return inverse (mattype, info, rcon, 0, 0); | |
458 | 668 } |
669 | |
670 Matrix | |
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671 Matrix::tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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672 int force, int calc_cond) const |
458 | 673 { |
6207 | 674 Matrix retval; |
675 | |
676 octave_idx_type nr = rows (); | |
677 octave_idx_type nc = cols (); | |
678 | |
679 if (nr != nc || nr == 0 || nc == 0) | |
680 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
681 else | |
682 { | |
683 int typ = mattype.type (); | |
684 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
685 char udiag = 'N'; | |
686 retval = *this; | |
687 double *tmp_data = retval.fortran_vec (); | |
688 | |
689 F77_XFCN (dtrtri, DTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
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690 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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691 nr, tmp_data, nr, info |
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692 F77_CHAR_ARG_LEN (1) |
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693 F77_CHAR_ARG_LEN (1))); |
6207 | 694 |
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695 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 696 rcon = 0.0; |
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697 if (info != 0) |
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698 info = -1; |
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699 else if (calc_cond) |
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700 { |
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701 octave_idx_type dtrcon_info = 0; |
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702 char job = '1'; |
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703 |
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704 OCTAVE_LOCAL_BUFFER (double, work, 3 * nr); |
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705 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, nr); |
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706 |
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707 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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708 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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709 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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710 nr, tmp_data, nr, rcon, |
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711 work, iwork, dtrcon_info |
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712 F77_CHAR_ARG_LEN (1) |
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713 F77_CHAR_ARG_LEN (1) |
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714 F77_CHAR_ARG_LEN (1))); |
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715 |
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716 if (dtrcon_info != 0) |
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717 info = -1; |
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718 } |
6207 | 719 |
720 if (info == -1 && ! force) | |
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721 retval = *this; // Restore matrix contents. |
6207 | 722 } |
723 | |
724 return retval; | |
458 | 725 } |
726 | |
6207 | 727 |
458 | 728 Matrix |
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729 Matrix::finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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730 int force, int calc_cond) const |
458 | 731 { |
1948 | 732 Matrix retval; |
733 | |
5275 | 734 octave_idx_type nr = rows (); |
735 octave_idx_type nc = cols (); | |
1948 | 736 |
458 | 737 if (nr != nc || nr == 0 || nc == 0) |
1948 | 738 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
458 | 739 else |
740 { | |
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741 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
5275 | 742 octave_idx_type *pipvt = ipvt.fortran_vec (); |
1948 | 743 |
744 retval = *this; | |
745 double *tmp_data = retval.fortran_vec (); | |
746 | |
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747 Array<double> z (dim_vector (1, 1)); |
5275 | 748 octave_idx_type lwork = -1; |
4329 | 749 |
4330 | 750 // Query the optimum work array size. |
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751 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
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752 z.fortran_vec (), lwork, info)); |
4329 | 753 |
5275 | 754 lwork = static_cast<octave_idx_type> (z(0)); |
4329 | 755 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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756 z.resize (dim_vector (lwork, 1)); |
4329 | 757 double *pz = z.fortran_vec (); |
758 | |
759 info = 0; | |
760 | |
4330 | 761 // Calculate the norm of the matrix, for later use. |
4329 | 762 double anorm = 0; |
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763 if (calc_cond) |
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764 anorm = retval.abs ().sum ().row (static_cast<octave_idx_type>(0)) |
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765 .max (); |
4329 | 766 |
767 F77_XFCN (dgetrf, DGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
1948 | 768 |
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769 // Throw-away extra info LAPACK gives so as to not change output. |
7788 | 770 rcon = 0.0; |
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771 if (info != 0) |
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772 info = -1; |
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773 else if (calc_cond) |
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774 { |
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775 octave_idx_type dgecon_info = 0; |
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776 |
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777 // Now calculate the condition number for non-singular matrix. |
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778 char job = '1'; |
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779 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
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780 octave_idx_type *piz = iz.fortran_vec (); |
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781 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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782 nc, tmp_data, nr, anorm, |
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783 rcon, pz, piz, dgecon_info |
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784 F77_CHAR_ARG_LEN (1))); |
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785 |
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786 if (dgecon_info != 0) |
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787 info = -1; |
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788 } |
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789 |
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790 if (info == -1 && ! force) |
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791 retval = *this; // Restore matrix contents. |
1948 | 792 else |
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793 { |
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794 octave_idx_type dgetri_info = 0; |
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795 |
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796 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
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797 pz, lwork, dgetri_info)); |
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798 |
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799 if (dgetri_info != 0) |
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800 info = -1; |
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801 } |
6207 | 802 |
803 if (info != 0) | |
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804 mattype.mark_as_rectangular (); |
458 | 805 } |
806 | |
1948 | 807 return retval; |
458 | 808 } |
809 | |
740 | 810 Matrix |
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811 Matrix::inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
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812 int force, int calc_cond) const |
6207 | 813 { |
814 int typ = mattype.type (false); | |
815 Matrix ret; | |
816 | |
817 if (typ == MatrixType::Unknown) | |
818 typ = mattype.type (*this); | |
819 | |
820 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
7788 | 821 ret = tinverse (mattype, info, rcon, force, calc_cond); |
6840 | 822 else |
6207 | 823 { |
824 if (mattype.is_hermitian ()) | |
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825 { |
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826 CHOL chol (*this, info, calc_cond); |
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827 if (info == 0) |
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828 { |
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829 if (calc_cond) |
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830 rcon = chol.rcond (); |
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831 else |
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832 rcon = 1.0; |
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833 ret = chol.inverse (); |
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834 } |
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835 else |
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836 mattype.mark_as_unsymmetric (); |
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837 } |
6207 | 838 |
839 if (!mattype.is_hermitian ()) | |
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840 ret = finverse (mattype, info, rcon, force, calc_cond); |
7788 | 841 |
842 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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843 ret = Matrix (rows (), columns (), octave_Inf); |
6207 | 844 } |
845 | |
846 return ret; | |
847 } | |
848 | |
849 Matrix | |
4384 | 850 Matrix::pseudo_inverse (double tol) const |
740 | 851 { |
3480 | 852 SVD result (*this, SVD::economy); |
740 | 853 |
854 DiagMatrix S = result.singular_values (); | |
855 Matrix U = result.left_singular_matrix (); | |
856 Matrix V = result.right_singular_matrix (); | |
857 | |
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858 ColumnVector sigma = S.extract_diag (); |
740 | 859 |
5275 | 860 octave_idx_type r = sigma.length () - 1; |
861 octave_idx_type nr = rows (); | |
862 octave_idx_type nc = cols (); | |
740 | 863 |
864 if (tol <= 0.0) | |
865 { | |
866 if (nr > nc) | |
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867 tol = nr * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 868 else |
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869 tol = nc * sigma.elem (0) * std::numeric_limits<double>::epsilon (); |
740 | 870 } |
871 | |
872 while (r >= 0 && sigma.elem (r) < tol) | |
873 r--; | |
874 | |
875 if (r < 0) | |
876 return Matrix (nc, nr, 0.0); | |
877 else | |
878 { | |
879 Matrix Ur = U.extract (0, 0, nr-1, r); | |
880 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
881 Matrix Vr = V.extract (0, 0, nc-1, r); | |
882 return Vr * D * Ur.transpose (); | |
883 } | |
884 } | |
885 | |
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886 #if defined (HAVE_FFTW) |
3827 | 887 |
888 ComplexMatrix | |
889 Matrix::fourier (void) const | |
890 { | |
891 size_t nr = rows (); | |
892 size_t nc = cols (); | |
893 | |
894 ComplexMatrix retval (nr, nc); | |
895 | |
896 size_t npts, nsamples; | |
897 | |
898 if (nr == 1 || nc == 1) | |
899 { | |
900 npts = nr > nc ? nr : nc; | |
901 nsamples = 1; | |
902 } | |
903 else | |
904 { | |
905 npts = nr; | |
906 nsamples = nc; | |
907 } | |
908 | |
4773 | 909 const double *in (fortran_vec ()); |
3827 | 910 Complex *out (retval.fortran_vec ()); |
911 | |
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912 octave_fftw::fft (in, out, npts, nsamples); |
3827 | 913 |
914 return retval; | |
915 } | |
916 | |
917 ComplexMatrix | |
918 Matrix::ifourier (void) const | |
919 { | |
920 size_t nr = rows (); | |
921 size_t nc = cols (); | |
922 | |
923 ComplexMatrix retval (nr, nc); | |
924 | |
925 size_t npts, nsamples; | |
926 | |
927 if (nr == 1 || nc == 1) | |
928 { | |
929 npts = nr > nc ? nr : nc; | |
930 nsamples = 1; | |
931 } | |
932 else | |
933 { | |
934 npts = nr; | |
935 nsamples = nc; | |
936 } | |
937 | |
938 ComplexMatrix tmp (*this); | |
939 Complex *in (tmp.fortran_vec ()); | |
940 Complex *out (retval.fortran_vec ()); | |
941 | |
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942 octave_fftw::ifft (in, out, npts, nsamples); |
3827 | 943 |
944 return retval; | |
945 } | |
946 | |
947 ComplexMatrix | |
948 Matrix::fourier2d (void) const | |
949 { | |
4773 | 950 dim_vector dv(rows (), cols ()); |
951 | |
952 const double *in = fortran_vec (); | |
953 ComplexMatrix retval (rows (), cols ()); | |
954 octave_fftw::fftNd (in, retval.fortran_vec (), 2, dv); | |
3827 | 955 |
956 return retval; | |
957 } | |
958 | |
959 ComplexMatrix | |
960 Matrix::ifourier2d (void) const | |
961 { | |
4773 | 962 dim_vector dv(rows (), cols ()); |
3827 | 963 |
964 ComplexMatrix retval (*this); | |
4773 | 965 Complex *out (retval.fortran_vec ()); |
966 | |
967 octave_fftw::ifftNd (out, out, 2, dv); | |
3827 | 968 |
969 return retval; | |
970 } | |
971 | |
972 #else | |
973 | |
9523
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974 extern "C" |
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975 { |
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976 // Note that the original complex fft routines were not written for |
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977 // double complex arguments. They have been modified by adding an |
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978 // implicit double precision (a-h,o-z) statement at the beginning of |
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979 // each subroutine. |
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980 |
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981 F77_RET_T |
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982 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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983 |
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984 F77_RET_T |
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985 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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986 |
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987 F77_RET_T |
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988 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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989 } |
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990 |
458 | 991 ComplexMatrix |
992 Matrix::fourier (void) const | |
993 { | |
1948 | 994 ComplexMatrix retval; |
995 | |
5275 | 996 octave_idx_type nr = rows (); |
997 octave_idx_type nc = cols (); | |
998 | |
999 octave_idx_type npts, nsamples; | |
1948 | 1000 |
458 | 1001 if (nr == 1 || nc == 1) |
1002 { | |
1003 npts = nr > nc ? nr : nc; | |
1004 nsamples = 1; | |
1005 } | |
1006 else | |
1007 { | |
1008 npts = nr; | |
1009 nsamples = nc; | |
1010 } | |
1011 | |
5275 | 1012 octave_idx_type nn = 4*npts+15; |
1948 | 1013 |
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1014 Array<Complex> wsave (dim_vector (nn, 1)); |
1948 | 1015 Complex *pwsave = wsave.fortran_vec (); |
1016 | |
3585 | 1017 retval = ComplexMatrix (*this); |
1948 | 1018 Complex *tmp_data = retval.fortran_vec (); |
1019 | |
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1020 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1021 |
5275 | 1022 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1023 { |
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1024 octave_quit (); |
4153 | 1025 |
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1026 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1027 } |
1948 | 1028 |
1029 return retval; | |
458 | 1030 } |
1031 | |
1032 ComplexMatrix | |
1033 Matrix::ifourier (void) const | |
1034 { | |
1948 | 1035 ComplexMatrix retval; |
1036 | |
5275 | 1037 octave_idx_type nr = rows (); |
1038 octave_idx_type nc = cols (); | |
1039 | |
1040 octave_idx_type npts, nsamples; | |
1948 | 1041 |
458 | 1042 if (nr == 1 || nc == 1) |
1043 { | |
1044 npts = nr > nc ? nr : nc; | |
1045 nsamples = 1; | |
1046 } | |
1047 else | |
1048 { | |
1049 npts = nr; | |
1050 nsamples = nc; | |
1051 } | |
1052 | |
5275 | 1053 octave_idx_type nn = 4*npts+15; |
1948 | 1054 |
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1055 Array<Complex> wsave (dim_vector (nn, 1)); |
1948 | 1056 Complex *pwsave = wsave.fortran_vec (); |
1057 | |
3585 | 1058 retval = ComplexMatrix (*this); |
1948 | 1059 Complex *tmp_data = retval.fortran_vec (); |
1060 | |
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1061 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
458 | 1062 |
5275 | 1063 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1064 { |
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1065 octave_quit (); |
4153 | 1066 |
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1067 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1068 } |
458 | 1069 |
5275 | 1070 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1071 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
458 | 1072 |
1948 | 1073 return retval; |
458 | 1074 } |
1075 | |
677 | 1076 ComplexMatrix |
1077 Matrix::fourier2d (void) const | |
1078 { | |
1948 | 1079 ComplexMatrix retval; |
1080 | |
5275 | 1081 octave_idx_type nr = rows (); |
1082 octave_idx_type nc = cols (); | |
1083 | |
1084 octave_idx_type npts, nsamples; | |
1948 | 1085 |
677 | 1086 if (nr == 1 || nc == 1) |
1087 { | |
1088 npts = nr > nc ? nr : nc; | |
1089 nsamples = 1; | |
1090 } | |
1091 else | |
1092 { | |
1093 npts = nr; | |
1094 nsamples = nc; | |
1095 } | |
1096 | |
5275 | 1097 octave_idx_type nn = 4*npts+15; |
1948 | 1098 |
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1099 Array<Complex> wsave (dim_vector (nn, 1)); |
1948 | 1100 Complex *pwsave = wsave.fortran_vec (); |
1101 | |
3585 | 1102 retval = ComplexMatrix (*this); |
1948 | 1103 Complex *tmp_data = retval.fortran_vec (); |
1104 | |
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1105 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1106 |
5275 | 1107 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1108 { |
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1109 octave_quit (); |
4153 | 1110 |
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1111 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1112 } |
677 | 1113 |
1114 npts = nc; | |
1115 nsamples = nr; | |
1116 nn = 4*npts+15; | |
1948 | 1117 |
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1118 wsave.resize (dim_vector (nn, 1)); |
1948 | 1119 pwsave = wsave.fortran_vec (); |
1120 | |
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1121 Array<Complex> tmp (dim_vector (npts, 1)); |
4773 | 1122 Complex *prow = tmp.fortran_vec (); |
1948 | 1123 |
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1124 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1125 |
5275 | 1126 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1127 { |
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1128 octave_quit (); |
4153 | 1129 |
5275 | 1130 for (octave_idx_type i = 0; i < npts; i++) |
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1131 prow[i] = tmp_data[i*nr + j]; |
1948 | 1132 |
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1133 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
677 | 1134 |
5275 | 1135 for (octave_idx_type i = 0; i < npts; i++) |
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1136 tmp_data[i*nr + j] = prow[i]; |
677 | 1137 } |
1138 | |
1948 | 1139 return retval; |
677 | 1140 } |
1141 | |
1142 ComplexMatrix | |
1143 Matrix::ifourier2d (void) const | |
1144 { | |
1948 | 1145 ComplexMatrix retval; |
1146 | |
5275 | 1147 octave_idx_type nr = rows (); |
1148 octave_idx_type nc = cols (); | |
1149 | |
1150 octave_idx_type npts, nsamples; | |
1948 | 1151 |
677 | 1152 if (nr == 1 || nc == 1) |
1153 { | |
1154 npts = nr > nc ? nr : nc; | |
1155 nsamples = 1; | |
1156 } | |
1157 else | |
1158 { | |
1159 npts = nr; | |
1160 nsamples = nc; | |
1161 } | |
1162 | |
5275 | 1163 octave_idx_type nn = 4*npts+15; |
1948 | 1164 |
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1165 Array<Complex> wsave (dim_vector (nn, 1)); |
1948 | 1166 Complex *pwsave = wsave.fortran_vec (); |
1167 | |
3585 | 1168 retval = ComplexMatrix (*this); |
1948 | 1169 Complex *tmp_data = retval.fortran_vec (); |
1170 | |
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1171 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1172 |
5275 | 1173 for (octave_idx_type j = 0; j < nsamples; j++) |
4153 | 1174 { |
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1175 octave_quit (); |
4153 | 1176 |
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1177 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
4153 | 1178 } |
677 | 1179 |
5275 | 1180 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
3572 | 1181 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
677 | 1182 |
1183 npts = nc; | |
1184 nsamples = nr; | |
1185 nn = 4*npts+15; | |
1948 | 1186 |
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1187 wsave.resize (dim_vector (nn, 1)); |
1948 | 1188 pwsave = wsave.fortran_vec (); |
1189 | |
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1190 Array<Complex> tmp (dim_vector (npts, 1)); |
4773 | 1191 Complex *prow = tmp.fortran_vec (); |
1948 | 1192 |
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1193 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
677 | 1194 |
5275 | 1195 for (octave_idx_type j = 0; j < nsamples; j++) |
677 | 1196 { |
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1197 octave_quit (); |
4153 | 1198 |
5275 | 1199 for (octave_idx_type i = 0; i < npts; i++) |
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1200 prow[i] = tmp_data[i*nr + j]; |
1948 | 1201 |
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1202 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
677 | 1203 |
5275 | 1204 for (octave_idx_type i = 0; i < npts; i++) |
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1205 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
677 | 1206 } |
1207 | |
1948 | 1208 return retval; |
677 | 1209 } |
1210 | |
3827 | 1211 #endif |
1212 | |
458 | 1213 DET |
1214 Matrix::determinant (void) const | |
1215 { | |
5275 | 1216 octave_idx_type info; |
7788 | 1217 double rcon; |
1218 return determinant (info, rcon, 0); | |
458 | 1219 } |
1220 | |
1221 DET | |
5275 | 1222 Matrix::determinant (octave_idx_type& info) const |
458 | 1223 { |
7788 | 1224 double rcon; |
1225 return determinant (info, rcon, 0); | |
458 | 1226 } |
1227 | |
1228 DET | |
7788 | 1229 Matrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
458 | 1230 { |
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1231 MatrixType mattype (*this); |
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1232 return determinant (mattype, info, rcon, calc_cond); |
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1233 } |
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1234 |
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1235 DET |
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1236 Matrix::determinant (MatrixType& mattype, |
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1237 octave_idx_type& info, double& rcon, int calc_cond) const |
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1238 { |
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1239 DET retval (1.0); |
458 | 1240 |
13828
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1241 info = 0; |
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1242 rcon = 0.0; |
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1243 |
5275 | 1244 octave_idx_type nr = rows (); |
1245 octave_idx_type nc = cols (); | |
458 | 1246 |
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1247 if (nr != nc) |
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1248 (*current_liboctave_error_handler) ("matrix must be square"); |
458 | 1249 else |
1250 { | |
8806 | 1251 volatile int typ = mattype.type (); |
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1252 |
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1253 // Even though the matrix is marked as singular (Rectangular), we may |
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1254 // still get a useful number from the LU factorization, because it always |
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1255 // completes. |
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1256 |
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1257 if (typ == MatrixType::Unknown) |
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1258 typ = mattype.type (*this); |
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1259 else if (typ == MatrixType::Rectangular) |
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1260 typ = MatrixType::Full; |
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1261 |
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1262 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1263 { |
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1264 for (octave_idx_type i = 0; i < nc; i++) |
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1265 retval *= elem (i,i); |
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1266 } |
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|
1267 else if (typ == MatrixType::Hermitian) |
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1268 { |
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|
1269 Matrix atmp = *this; |
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1270 double *tmp_data = atmp.fortran_vec (); |
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1271 |
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1272 double anorm = 0; |
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1273 if (calc_cond) anorm = xnorm (*this, 1); |
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1274 |
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|
1275 |
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|
1276 char job = 'L'; |
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|
1277 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
8336
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|
1278 tmp_data, nr, info |
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|
1279 F77_CHAR_ARG_LEN (1))); |
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|
1280 |
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|
1281 if (info != 0) |
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|
1282 { |
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|
1283 rcon = 0.0; |
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|
1284 mattype.mark_as_unsymmetric (); |
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1285 typ = MatrixType::Full; |
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1286 } |
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|
1287 else |
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|
1288 { |
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|
1289 Array<double> z (dim_vector (3 * nc, 1)); |
8336
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|
1290 double *pz = z.fortran_vec (); |
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|
1291 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
8336
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1292 octave_idx_type *piz = iz.fortran_vec (); |
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1293 |
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|
1294 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1295 nr, tmp_data, nr, anorm, |
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1296 rcon, pz, piz, info |
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|
1297 F77_CHAR_ARG_LEN (1))); |
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1298 |
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1299 if (info != 0) |
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|
1300 rcon = 0.0; |
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|
1301 |
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|
1302 for (octave_idx_type i = 0; i < nc; i++) |
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|
1303 retval *= atmp (i,i); |
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1304 |
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1305 retval = retval.square (); |
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1306 } |
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|
1307 } |
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1308 else if (typ != MatrixType::Full) |
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1309 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1310 |
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1311 if (typ == MatrixType::Full) |
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1312 { |
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|
1313 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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1314 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1315 |
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1316 Matrix atmp = *this; |
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1317 double *tmp_data = atmp.fortran_vec (); |
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1318 |
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1319 info = 0; |
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1320 |
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|
1321 // Calculate the norm of the matrix, for later use. |
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1322 double anorm = 0; |
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1323 if (calc_cond) anorm = xnorm (*this, 1); |
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1324 |
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|
1325 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1326 |
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1327 // Throw-away extra info LAPACK gives so as to not change output. |
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1328 rcon = 0.0; |
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|
1329 if (info != 0) |
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|
1330 { |
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|
1331 info = -1; |
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1332 retval = DET (); |
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|
1333 } |
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|
1334 else |
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|
1335 { |
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|
1336 if (calc_cond) |
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|
1337 { |
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|
1338 // Now calc the condition number for non-singular matrix. |
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1339 char job = '1'; |
11570
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|
1340 Array<double> z (dim_vector (4 * nc, 1)); |
8336
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1341 double *pz = z.fortran_vec (); |
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|
1342 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
8336
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|
1343 octave_idx_type *piz = iz.fortran_vec (); |
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1344 |
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|
1345 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1346 nc, tmp_data, nr, anorm, |
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1347 rcon, pz, piz, info |
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1348 F77_CHAR_ARG_LEN (1))); |
8335 | 1349 } |
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|
1350 |
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|
1351 if (info != 0) |
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|
1352 { |
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|
1353 info = -1; |
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1354 retval = DET (); |
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|
1355 } |
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1356 else |
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1357 { |
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|
1358 for (octave_idx_type i = 0; i < nc; i++) |
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1359 { |
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1360 double c = atmp(i,i); |
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1361 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1362 } |
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1363 } |
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|
1364 } |
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|
1365 } |
458 | 1366 } |
1367 | |
1368 return retval; | |
1369 } | |
1370 | |
7788 | 1371 double |
1372 Matrix::rcond (void) const | |
1373 { | |
1374 MatrixType mattype (*this); | |
1375 return rcond (mattype); | |
1376 } | |
1377 | |
1378 double | |
1379 Matrix::rcond (MatrixType &mattype) const | |
1380 { | |
18780
cb37b17b6091
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PrasannaKumar Muralidharan <prasannatsmkumar@gmail.com>
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diff
changeset
|
1381 double rcon = octave_NaN; |
7788 | 1382 octave_idx_type nr = rows (); |
1383 octave_idx_type nc = cols (); | |
1384 | |
1385 if (nr != nc) | |
1386 (*current_liboctave_error_handler) ("matrix must be square"); | |
1387 else if (nr == 0 || nc == 0) | |
1388 rcon = octave_Inf; | |
1389 else | |
1390 { | |
16300
23c5f90f92cd
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|
1391 volatile int typ = mattype.type (); |
7788 | 1392 |
1393 if (typ == MatrixType::Unknown) | |
10314
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|
1394 typ = mattype.type (*this); |
7788 | 1395 |
1396 // Only calculate the condition number for LU/Cholesky | |
1397 if (typ == MatrixType::Upper) | |
10314
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|
1398 { |
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|
1399 const double *tmp_data = fortran_vec (); |
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|
1400 octave_idx_type info = 0; |
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|
1401 char norm = '1'; |
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|
1402 char uplo = 'U'; |
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|
1403 char dia = 'N'; |
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|
1404 |
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|
1405 Array<double> z (dim_vector (3 * nc, 1)); |
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|
1406 double *pz = z.fortran_vec (); |
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changeset
|
1407 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
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|
1408 octave_idx_type *piz = iz.fortran_vec (); |
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|
1409 |
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|
1410 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1411 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
1412 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
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1413 nr, tmp_data, nr, rcon, |
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1414 pz, piz, info |
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|
1415 F77_CHAR_ARG_LEN (1) |
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|
1416 F77_CHAR_ARG_LEN (1) |
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|
1417 F77_CHAR_ARG_LEN (1))); |
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1418 |
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1419 if (info != 0) |
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1420 rcon = 0.0; |
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1421 } |
7788 | 1422 else if (typ == MatrixType::Permuted_Upper) |
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|
1423 (*current_liboctave_error_handler) |
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|
1424 ("permuted triangular matrix not implemented"); |
7788 | 1425 else if (typ == MatrixType::Lower) |
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|
1426 { |
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|
1427 const double *tmp_data = fortran_vec (); |
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untabify liboctave C++ sources
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|
1428 octave_idx_type info = 0; |
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untabify liboctave C++ sources
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|
1429 char norm = '1'; |
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untabify liboctave C++ sources
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|
1430 char uplo = 'L'; |
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untabify liboctave C++ sources
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|
1431 char dia = 'N'; |
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|
1432 |
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|
1433 Array<double> z (dim_vector (3 * nc, 1)); |
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|
1434 double *pz = z.fortran_vec (); |
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|
1435 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
10314
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|
1436 octave_idx_type *piz = iz.fortran_vec (); |
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|
1437 |
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1438 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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strip trailing whitespace from source files
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|
1439 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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|
1440 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1441 nr, tmp_data, nr, rcon, |
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|
1442 pz, piz, info |
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|
1443 F77_CHAR_ARG_LEN (1) |
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|
1444 F77_CHAR_ARG_LEN (1) |
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|
1445 F77_CHAR_ARG_LEN (1))); |
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|
1446 |
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1447 if (info != 0) |
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|
1448 rcon = 0.0; |
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|
1449 } |
7788 | 1450 else if (typ == MatrixType::Permuted_Lower) |
10314
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|
1451 (*current_liboctave_error_handler) |
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untabify liboctave C++ sources
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|
1452 ("permuted triangular matrix not implemented"); |
7788 | 1453 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
10314
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|
1454 { |
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changeset
|
1455 double anorm = -1.0; |
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|
1456 |
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|
1457 if (typ == MatrixType::Hermitian) |
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|
1458 { |
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|
1459 octave_idx_type info = 0; |
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untabify liboctave C++ sources
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|
1460 char job = 'L'; |
15382
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|
1461 |
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|
1462 Matrix atmp = *this; |
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|
1463 double *tmp_data = atmp.fortran_vec (); |
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|
1464 |
10314
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changeset
|
1465 anorm = atmp.abs().sum(). |
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changeset
|
1466 row(static_cast<octave_idx_type>(0)).max(); |
10314
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|
1467 |
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|
1468 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
10314
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changeset
|
1469 tmp_data, nr, info |
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changeset
|
1470 F77_CHAR_ARG_LEN (1))); |
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|
1471 |
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|
1472 if (info != 0) |
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|
1473 { |
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|
1474 rcon = 0.0; |
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|
1475 mattype.mark_as_unsymmetric (); |
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changeset
|
1476 typ = MatrixType::Full; |
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|
1477 } |
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|
1478 else |
10314
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|
1479 { |
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changeset
|
1480 Array<double> z (dim_vector (3 * nc, 1)); |
10314
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changeset
|
1481 double *pz = z.fortran_vec (); |
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changeset
|
1482 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
10314
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untabify liboctave C++ sources
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|
1483 octave_idx_type *piz = iz.fortran_vec (); |
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untabify liboctave C++ sources
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|
1484 |
07ebe522dac2
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changeset
|
1485 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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untabify liboctave C++ sources
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changeset
|
1486 nr, tmp_data, nr, anorm, |
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changeset
|
1487 rcon, pz, piz, info |
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changeset
|
1488 F77_CHAR_ARG_LEN (1))); |
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|
1489 |
11586
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|
1490 if (info != 0) |
10314
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changeset
|
1491 rcon = 0.0; |
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|
1492 } |
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changeset
|
1493 } |
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|
1494 |
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changeset
|
1495 if (typ == MatrixType::Full) |
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|
1496 { |
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|
1497 octave_idx_type info = 0; |
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|
1498 |
15382
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diff
changeset
|
1499 Matrix atmp = *this; |
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changeset
|
1500 double *tmp_data = atmp.fortran_vec (); |
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|
1501 |
11570
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changeset
|
1502 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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changeset
|
1503 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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|
1504 |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14846
diff
changeset
|
1505 if (anorm < 0.) |
14846
460a3c6d8bf1
maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
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14557
diff
changeset
|
1506 anorm = atmp.abs ().sum (). |
17769
49a5a4be04a1
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Rik <rik@octave.org>
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changeset
|
1507 row(static_cast<octave_idx_type>(0)).max (); |
10314
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changeset
|
1508 |
11570
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changeset
|
1509 Array<double> z (dim_vector (4 * nc, 1)); |
10314
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changeset
|
1510 double *pz = z.fortran_vec (); |
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changeset
|
1511 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
10314
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changeset
|
1512 octave_idx_type *piz = iz.fortran_vec (); |
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|
1513 |
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changeset
|
1514 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1515 |
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|
1516 if (info != 0) |
10314
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|
1517 { |
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|
1518 rcon = 0.0; |
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|
1519 mattype.mark_as_rectangular (); |
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|
1520 } |
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|
1521 else |
10314
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|
1522 { |
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|
1523 char job = '1'; |
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changeset
|
1524 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
11586
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changeset
|
1525 nc, tmp_data, nr, anorm, |
10314
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changeset
|
1526 rcon, pz, piz, info |
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changeset
|
1527 F77_CHAR_ARG_LEN (1))); |
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changeset
|
1528 |
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changeset
|
1529 if (info != 0) |
10314
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changeset
|
1530 rcon = 0.0; |
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changeset
|
1531 } |
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|
1532 } |
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1533 } |
7788 | 1534 else |
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|
1535 rcon = 0.0; |
7788 | 1536 } |
1537 | |
1538 return rcon; | |
1539 } | |
1540 | |
458 | 1541 Matrix |
5785 | 1542 Matrix::utsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
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|
1543 double& rcon, solve_singularity_handler sing_handler, |
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|
1544 bool calc_cond, blas_trans_type transt) const |
5785 | 1545 { |
1546 Matrix retval; | |
1547 | |
1548 octave_idx_type nr = rows (); | |
1549 octave_idx_type nc = cols (); | |
1550 | |
6924 | 1551 if (nr != b.rows ()) |
5785 | 1552 (*current_liboctave_error_handler) |
1553 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1554 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1555 retval = Matrix (nc, b.cols (), 0.0); | |
5785 | 1556 else |
1557 { | |
1558 volatile int typ = mattype.type (); | |
1559 | |
1560 if (typ == MatrixType::Permuted_Upper || | |
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1561 typ == MatrixType::Upper) |
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|
1562 { |
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1563 octave_idx_type b_nc = b.cols (); |
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1564 rcon = 1.; |
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|
1565 info = 0; |
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|
1566 |
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1567 if (typ == MatrixType::Permuted_Upper) |
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|
1568 { |
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1569 (*current_liboctave_error_handler) |
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1570 ("permuted triangular matrix not implemented"); |
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1571 } |
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|
1572 else |
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|
1573 { |
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1574 const double *tmp_data = fortran_vec (); |
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1575 |
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1576 if (calc_cond) |
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1577 { |
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1578 char norm = '1'; |
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1579 char uplo = 'U'; |
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1580 char dia = 'N'; |
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1581 |
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1582 Array<double> z (dim_vector (3 * nc, 1)); |
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1583 double *pz = z.fortran_vec (); |
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1584 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
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|
1585 octave_idx_type *piz = iz.fortran_vec (); |
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1586 |
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1587 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1588 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1589 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1590 nr, tmp_data, nr, rcon, |
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1591 pz, piz, info |
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|
1592 F77_CHAR_ARG_LEN (1) |
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1593 F77_CHAR_ARG_LEN (1) |
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1594 F77_CHAR_ARG_LEN (1))); |
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|
1595 |
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1596 if (info != 0) |
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|
1597 info = -2; |
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|
1598 |
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|
1599 volatile double rcond_plus_one = rcon + 1.0; |
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1600 |
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1601 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
1602 { |
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|
1603 info = -2; |
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|
1604 |
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|
1605 if (sing_handler) |
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1606 sing_handler (rcon); |
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|
1607 else |
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|
1608 (*current_liboctave_error_handler) |
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1609 ("matrix singular to machine precision, rcond = %g", |
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|
1610 rcon); |
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|
1611 } |
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|
1612 } |
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|
1613 |
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1614 if (info == 0) |
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|
1615 { |
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|
1616 retval = b; |
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|
1617 double *result = retval.fortran_vec (); |
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1618 |
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1619 char uplo = 'U'; |
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|
1620 char trans = get_blas_char (transt); |
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1621 char dia = 'N'; |
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|
1622 |
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|
1623 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1624 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1625 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1626 nr, b_nc, tmp_data, nr, |
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|
1627 result, nr, info |
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|
1628 F77_CHAR_ARG_LEN (1) |
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|
1629 F77_CHAR_ARG_LEN (1) |
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|
1630 F77_CHAR_ARG_LEN (1))); |
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|
1631 } |
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|
1632 } |
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1633 } |
5785 | 1634 else |
10314
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|
1635 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1636 } |
1637 | |
1638 return retval; | |
1639 } | |
1640 | |
1641 Matrix | |
1642 Matrix::ltsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
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|
1643 double& rcon, solve_singularity_handler sing_handler, |
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|
1644 bool calc_cond, blas_trans_type transt) const |
5785 | 1645 { |
1646 Matrix retval; | |
1647 | |
1648 octave_idx_type nr = rows (); | |
1649 octave_idx_type nc = cols (); | |
1650 | |
6924 | 1651 if (nr != b.rows ()) |
5785 | 1652 (*current_liboctave_error_handler) |
1653 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1654 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1655 retval = Matrix (nc, b.cols (), 0.0); | |
5785 | 1656 else |
1657 { | |
1658 volatile int typ = mattype.type (); | |
1659 | |
1660 if (typ == MatrixType::Permuted_Lower || | |
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1661 typ == MatrixType::Lower) |
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|
1662 { |
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|
1663 octave_idx_type b_nc = b.cols (); |
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1664 rcon = 1.; |
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|
1665 info = 0; |
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|
1666 |
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1667 if (typ == MatrixType::Permuted_Lower) |
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|
1668 { |
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|
1669 (*current_liboctave_error_handler) |
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1670 ("permuted triangular matrix not implemented"); |
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|
1671 } |
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|
1672 else |
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|
1673 { |
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|
1674 const double *tmp_data = fortran_vec (); |
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1675 |
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1676 if (calc_cond) |
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1677 { |
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1678 char norm = '1'; |
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1679 char uplo = 'L'; |
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1680 char dia = 'N'; |
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|
1681 |
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|
1682 Array<double> z (dim_vector (3 * nc, 1)); |
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1683 double *pz = z.fortran_vec (); |
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1684 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
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1685 octave_idx_type *piz = iz.fortran_vec (); |
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1686 |
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1687 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1688 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1689 F77_CONST_CHAR_ARG2 (&dia, 1), |
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|
1690 nr, tmp_data, nr, rcon, |
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1691 pz, piz, info |
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|
1692 F77_CHAR_ARG_LEN (1) |
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1693 F77_CHAR_ARG_LEN (1) |
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1694 F77_CHAR_ARG_LEN (1))); |
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1695 |
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1696 if (info != 0) |
10314
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1697 info = -2; |
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|
1698 |
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1699 volatile double rcond_plus_one = rcon + 1.0; |
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1700 |
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1701 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1702 { |
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1703 info = -2; |
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1704 |
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1705 if (sing_handler) |
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1706 sing_handler (rcon); |
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|
1707 else |
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1708 (*current_liboctave_error_handler) |
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1709 ("matrix singular to machine precision, rcond = %g", |
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1710 rcon); |
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|
1711 } |
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|
1712 } |
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|
1713 |
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1714 if (info == 0) |
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1715 { |
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1716 retval = b; |
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1717 double *result = retval.fortran_vec (); |
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1718 |
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1719 char uplo = 'L'; |
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1720 char trans = get_blas_char (transt); |
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1721 char dia = 'N'; |
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1722 |
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1723 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
12df7854fa7c
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1724 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1725 F77_CONST_CHAR_ARG2 (&dia, 1), |
10314
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1726 nr, b_nc, tmp_data, nr, |
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1727 result, nr, info |
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1728 F77_CHAR_ARG_LEN (1) |
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1729 F77_CHAR_ARG_LEN (1) |
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1730 F77_CHAR_ARG_LEN (1))); |
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1731 } |
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|
1732 } |
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1733 } |
5785 | 1734 else |
10314
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|
1735 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1736 } |
1737 | |
1738 return retval; | |
1739 } | |
1740 | |
1741 Matrix | |
1742 Matrix::fsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
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1743 double& rcon, solve_singularity_handler sing_handler, |
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|
1744 bool calc_cond) const |
5785 | 1745 { |
1746 Matrix retval; | |
1747 | |
1748 octave_idx_type nr = rows (); | |
1749 octave_idx_type nc = cols (); | |
1750 | |
6924 | 1751 if (nr != nc || nr != b.rows ()) |
5785 | 1752 (*current_liboctave_error_handler) |
1753 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1754 else if (nr == 0 || b.cols () == 0) |
1755 retval = Matrix (nc, b.cols (), 0.0); | |
5785 | 1756 else |
1757 { | |
1758 volatile int typ = mattype.type (); | |
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1759 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
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17744
diff
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|
1760 // Calculate the norm of the matrix, for later use. |
5785 | 1761 double anorm = -1.; |
1762 | |
1763 if (typ == MatrixType::Hermitian) | |
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1764 { |
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|
1765 info = 0; |
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|
1766 char job = 'L'; |
15382
197774b411ec
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|
1767 |
10314
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1768 Matrix atmp = *this; |
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1769 double *tmp_data = atmp.fortran_vec (); |
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|
1770 |
10314
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1771 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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1772 |
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1773 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
10314
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1774 tmp_data, nr, info |
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|
1775 F77_CHAR_ARG_LEN (1))); |
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|
1776 |
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1777 // Throw-away extra info LAPACK gives so as to not change output. |
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1778 rcon = 0.0; |
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1779 if (info != 0) |
10314
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|
1780 { |
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|
1781 info = -2; |
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|
1782 |
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|
1783 mattype.mark_as_unsymmetric (); |
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1784 typ = MatrixType::Full; |
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1785 } |
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1786 else |
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|
1787 { |
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|
1788 if (calc_cond) |
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|
1789 { |
11570
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diff
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|
1790 Array<double> z (dim_vector (3 * nc, 1)); |
10314
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1791 double *pz = z.fortran_vec (); |
11570
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1792 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
10314
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1793 octave_idx_type *piz = iz.fortran_vec (); |
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1794 |
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1795 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1796 nr, tmp_data, nr, anorm, |
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|
1797 rcon, pz, piz, info |
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1798 F77_CHAR_ARG_LEN (1))); |
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|
1799 |
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1800 if (info != 0) |
10314
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|
1801 info = -2; |
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|
1802 |
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1803 volatile double rcond_plus_one = rcon + 1.0; |
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1804 |
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1805 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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|
1806 { |
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|
1807 info = -2; |
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|
1808 |
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1809 if (sing_handler) |
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1810 sing_handler (rcon); |
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|
1811 else |
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1812 (*current_liboctave_error_handler) |
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1813 ("matrix singular to machine precision, rcond = %g", |
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|
1814 rcon); |
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|
1815 } |
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|
1816 } |
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|
1817 |
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1818 if (info == 0) |
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|
1819 { |
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|
1820 retval = b; |
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1821 double *result = retval.fortran_vec (); |
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1822 |
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1823 octave_idx_type b_nc = b.cols (); |
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|
1824 |
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1825 F77_XFCN (dpotrs, DPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1826 nr, b_nc, tmp_data, nr, |
14846
460a3c6d8bf1
maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
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14557
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|
1827 result, b.rows (), info |
10314
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|
1828 F77_CHAR_ARG_LEN (1))); |
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|
1829 } |
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|
1830 else |
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|
1831 { |
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1832 mattype.mark_as_unsymmetric (); |
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|
1833 typ = MatrixType::Full; |
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1834 } |
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1835 } |
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1836 } |
5785 | 1837 |
1838 if (typ == MatrixType::Full) | |
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1839 { |
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1840 info = 0; |
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1841 |
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1842 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
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1843 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1844 |
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1845 Matrix atmp = *this; |
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1846 double *tmp_data = atmp.fortran_vec (); |
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1847 |
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1848 if (anorm < 0.) |
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1849 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
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1850 |
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1851 Array<double> z (dim_vector (4 * nc, 1)); |
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1852 double *pz = z.fortran_vec (); |
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1853 Array<octave_idx_type> iz (dim_vector (nc, 1)); |
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1854 octave_idx_type *piz = iz.fortran_vec (); |
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1855 |
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1856 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1857 |
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1858 // Throw-away extra info LAPACK gives so as to not change output. |
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1859 rcon = 0.0; |
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1860 if (info != 0) |
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1861 { |
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1862 info = -2; |
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1863 |
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1864 if (sing_handler) |
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1865 sing_handler (rcon); |
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1866 else |
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1867 (*current_liboctave_error_handler) |
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1868 ("matrix singular to machine precision"); |
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1869 |
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1870 mattype.mark_as_rectangular (); |
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1871 } |
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1872 else |
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1873 { |
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1874 if (calc_cond) |
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1875 { |
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1876 // Now calculate the condition number for |
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1877 // non-singular matrix. |
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1878 char job = '1'; |
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1879 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1880 nc, tmp_data, nr, anorm, |
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1881 rcon, pz, piz, info |
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1882 F77_CHAR_ARG_LEN (1))); |
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1883 |
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1884 if (info != 0) |
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1885 info = -2; |
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1886 |
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1887 volatile double rcond_plus_one = rcon + 1.0; |
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1888 |
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1889 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1890 { |
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1891 info = -2; |
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1892 |
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1893 if (sing_handler) |
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1894 sing_handler (rcon); |
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1895 else |
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1896 (*current_liboctave_error_handler) |
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1897 ("matrix singular to machine precision, rcond = %g", |
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1898 rcon); |
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1899 } |
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1900 } |
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1901 |
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1902 if (info == 0) |
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1903 { |
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1904 retval = b; |
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1905 double *result = retval.fortran_vec (); |
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1906 |
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1907 octave_idx_type b_nc = b.cols (); |
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1908 |
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1909 char job = 'N'; |
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1910 F77_XFCN (dgetrs, DGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1911 nr, b_nc, tmp_data, nr, |
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1912 pipvt, result, b.rows (), info |
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1913 F77_CHAR_ARG_LEN (1))); |
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1914 } |
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1915 else |
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1916 mattype.mark_as_rectangular (); |
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1917 } |
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1918 } |
5785 | 1919 else if (typ != MatrixType::Hermitian) |
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1920 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5785 | 1921 } |
1922 | |
1923 return retval; | |
1924 } | |
1925 | |
1926 Matrix | |
1927 Matrix::solve (MatrixType &typ, const Matrix& b) const | |
1928 { | |
1929 octave_idx_type info; | |
7788 | 1930 double rcon; |
1931 return solve (typ, b, info, rcon, 0); | |
5785 | 1932 } |
1933 | |
1934 Matrix | |
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1935 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const |
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1936 { |
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1937 double rcon; |
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1938 return solve (typ, b, info, rcon, 0); |
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1939 } |
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1940 |
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1941 Matrix |
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1942 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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1943 double& rcon) const |
5785 | 1944 { |
7788 | 1945 return solve (typ, b, info, rcon, 0); |
5785 | 1946 } |
1947 | |
1948 Matrix | |
1949 Matrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
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1950 double& rcon, solve_singularity_handler sing_handler, |
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1951 bool singular_fallback, blas_trans_type transt) const |
5785 | 1952 { |
1953 Matrix retval; | |
1954 int typ = mattype.type (); | |
1955 | |
1956 if (typ == MatrixType::Unknown) | |
1957 typ = mattype.type (*this); | |
1958 | |
1959 // Only calculate the condition number for LU/Cholesky | |
1960 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
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1961 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
5785 | 1962 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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1963 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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1964 else if (transt == blas_trans || transt == blas_conj_trans) |
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1965 return transpose ().solve (mattype, b, info, rcon, sing_handler, |
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1966 singular_fallback); |
5785 | 1967 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
7788 | 1968 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
5785 | 1969 else if (typ != MatrixType::Rectangular) |
1970 { | |
1971 (*current_liboctave_error_handler) ("unknown matrix type"); | |
1972 return Matrix (); | |
1973 } | |
1974 | |
1975 // Rectangular or one of the above solvers flags a singular matrix | |
1976 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
1977 { | |
1978 octave_idx_type rank; | |
7788 | 1979 retval = lssolve (b, info, rank, rcon); |
5785 | 1980 } |
1981 | |
1982 return retval; | |
1983 } | |
1984 | |
1985 ComplexMatrix | |
1986 Matrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
1987 { | |
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1988 octave_idx_type info; |
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1989 double rcon; |
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1990 return solve (typ, b, info, rcon, 0); |
5785 | 1991 } |
1992 | |
1993 ComplexMatrix | |
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1994 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, |
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1995 octave_idx_type& info) const |
5785 | 1996 { |
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1997 double rcon; |
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1998 return solve (typ, b, info, rcon, 0); |
5785 | 1999 } |
2000 | |
2001 ComplexMatrix | |
2002 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
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2003 double& rcon) const |
5785 | 2004 { |
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2005 return solve (typ, b, info, rcon, 0); |
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2006 } |
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2007 |
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2008 static Matrix |
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2009 stack_complex_matrix (const ComplexMatrix& cm) |
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2010 { |
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2011 octave_idx_type m = cm.rows (); |
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2012 octave_idx_type n = cm.cols (); |
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2013 octave_idx_type nel = m*n; |
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2014 Matrix retval (m, 2*n); |
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2015 const Complex *cmd = cm.data (); |
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2016 double *rd = retval.fortran_vec (); |
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2017 for (octave_idx_type i = 0; i < nel; i++) |
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2018 { |
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2019 rd[i] = std::real (cmd[i]); |
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2020 rd[nel+i] = std::imag (cmd[i]); |
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2021 } |
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2022 return retval; |
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2023 } |
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2024 |
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2025 static ComplexMatrix |
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2026 unstack_complex_matrix (const Matrix& sm) |
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2027 { |
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2028 octave_idx_type m = sm.rows (); |
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2029 octave_idx_type n = sm.cols () / 2; |
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2030 octave_idx_type nel = m*n; |
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2031 ComplexMatrix retval (m, n); |
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2032 const double *smd = sm.data (); |
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2033 Complex *rd = retval.fortran_vec (); |
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2034 for (octave_idx_type i = 0; i < nel; i++) |
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2035 rd[i] = Complex (smd[i], smd[nel+i]); |
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2036 return retval; |
5785 | 2037 } |
2038 | |
2039 ComplexMatrix | |
2040 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
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2041 double& rcon, solve_singularity_handler sing_handler, |
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2042 bool singular_fallback, blas_trans_type transt) const |
5785 | 2043 { |
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2044 Matrix tmp = stack_complex_matrix (b); |
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2045 tmp = solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
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2046 return unstack_complex_matrix (tmp); |
5785 | 2047 } |
2048 | |
2049 ColumnVector | |
2050 Matrix::solve (MatrixType &typ, const ColumnVector& b) const | |
2051 { | |
7788 | 2052 octave_idx_type info; double rcon; |
2053 return solve (typ, b, info, rcon); | |
5785 | 2054 } |
2055 | |
2056 ColumnVector | |
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2057 Matrix::solve (MatrixType &typ, const ColumnVector& b, |
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2058 octave_idx_type& info) const |
5785 | 2059 { |
7788 | 2060 double rcon; |
2061 return solve (typ, b, info, rcon); | |
5785 | 2062 } |
2063 | |
2064 ColumnVector | |
2065 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
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2066 double& rcon) const |
5785 | 2067 { |
7788 | 2068 return solve (typ, b, info, rcon, 0); |
5785 | 2069 } |
2070 | |
2071 ColumnVector | |
2072 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
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2073 double& rcon, solve_singularity_handler sing_handler, |
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2074 blas_trans_type transt) const |
5785 | 2075 { |
2076 Matrix tmp (b); | |
10352 | 2077 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
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2078 return tmp.column (static_cast<octave_idx_type> (0)); |
5785 | 2079 } |
2080 | |
2081 ComplexColumnVector | |
2082 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
2083 { | |
2084 ComplexMatrix tmp (*this); | |
2085 return tmp.solve (typ, b); | |
2086 } | |
2087 | |
2088 ComplexColumnVector | |
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2089 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2090 octave_idx_type& info) const |
5785 | 2091 { |
2092 ComplexMatrix tmp (*this); | |
2093 return tmp.solve (typ, b, info); | |
2094 } | |
2095 | |
2096 ComplexColumnVector | |
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2097 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2098 octave_idx_type& info, double& rcon) const |
5785 | 2099 { |
2100 ComplexMatrix tmp (*this); | |
7788 | 2101 return tmp.solve (typ, b, info, rcon); |
5785 | 2102 } |
2103 | |
2104 ComplexColumnVector | |
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2105 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, |
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2106 octave_idx_type& info, double& rcon, |
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2107 solve_singularity_handler sing_handler, |
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2108 blas_trans_type transt) const |
5785 | 2109 { |
2110 ComplexMatrix tmp (*this); | |
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2111 return tmp.solve (typ, b, info, rcon, sing_handler, transt); |
5785 | 2112 } |
2113 | |
2114 Matrix | |
458 | 2115 Matrix::solve (const Matrix& b) const |
2116 { | |
5275 | 2117 octave_idx_type info; |
7788 | 2118 double rcon; |
2119 return solve (b, info, rcon, 0); | |
458 | 2120 } |
2121 | |
2122 Matrix | |
5275 | 2123 Matrix::solve (const Matrix& b, octave_idx_type& info) const |
458 | 2124 { |
7788 | 2125 double rcon; |
2126 return solve (b, info, rcon, 0); | |
458 | 2127 } |
2128 | |
2129 Matrix | |
7788 | 2130 Matrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
458 | 2131 { |
7788 | 2132 return solve (b, info, rcon, 0); |
3480 | 2133 } |
2134 | |
2135 Matrix | |
5785 | 2136 Matrix::solve (const Matrix& b, octave_idx_type& info, |
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2137 double& rcon, solve_singularity_handler sing_handler, |
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2138 blas_trans_type transt) const |
3480 | 2139 { |
5785 | 2140 MatrixType mattype (*this); |
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2141 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
458 | 2142 } |
2143 | |
2144 ComplexMatrix | |
2145 Matrix::solve (const ComplexMatrix& b) const | |
2146 { | |
2147 ComplexMatrix tmp (*this); | |
2148 return tmp.solve (b); | |
2149 } | |
2150 | |
2151 ComplexMatrix | |
5275 | 2152 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2153 { |
2154 ComplexMatrix tmp (*this); | |
2155 return tmp.solve (b, info); | |
2156 } | |
2157 | |
2158 ComplexMatrix | |
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2159 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, |
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2160 double& rcon) const |
458 | 2161 { |
2162 ComplexMatrix tmp (*this); | |
7788 | 2163 return tmp.solve (b, info, rcon); |
458 | 2164 } |
2165 | |
3480 | 2166 ComplexMatrix |
7788 | 2167 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
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2168 solve_singularity_handler sing_handler, |
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2169 blas_trans_type transt) const |
3480 | 2170 { |
2171 ComplexMatrix tmp (*this); | |
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2172 return tmp.solve (b, info, rcon, sing_handler, transt); |
3480 | 2173 } |
2174 | |
458 | 2175 ColumnVector |
2176 Matrix::solve (const ColumnVector& b) const | |
2177 { | |
7788 | 2178 octave_idx_type info; double rcon; |
2179 return solve (b, info, rcon); | |
458 | 2180 } |
2181 | |
2182 ColumnVector | |
5275 | 2183 Matrix::solve (const ColumnVector& b, octave_idx_type& info) const |
458 | 2184 { |
7788 | 2185 double rcon; |
2186 return solve (b, info, rcon); | |
458 | 2187 } |
2188 | |
2189 ColumnVector | |
7788 | 2190 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const |
458 | 2191 { |
7788 | 2192 return solve (b, info, rcon, 0); |
3480 | 2193 } |
2194 | |
2195 ColumnVector | |
7788 | 2196 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon, |
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2197 solve_singularity_handler sing_handler, |
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2198 blas_trans_type transt) const |
3480 | 2199 { |
5785 | 2200 MatrixType mattype (*this); |
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2201 return solve (mattype, b, info, rcon, sing_handler, transt); |
458 | 2202 } |
2203 | |
2204 ComplexColumnVector | |
2205 Matrix::solve (const ComplexColumnVector& b) const | |
2206 { | |
2207 ComplexMatrix tmp (*this); | |
2208 return tmp.solve (b); | |
2209 } | |
2210 | |
2211 ComplexColumnVector | |
5275 | 2212 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2213 { |
2214 ComplexMatrix tmp (*this); | |
2215 return tmp.solve (b, info); | |
2216 } | |
2217 | |
2218 ComplexColumnVector | |
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2219 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2220 double& rcon) const |
458 | 2221 { |
2222 ComplexMatrix tmp (*this); | |
7788 | 2223 return tmp.solve (b, info, rcon); |
458 | 2224 } |
2225 | |
3480 | 2226 ComplexColumnVector |
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2227 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2228 double& rcon, |
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2229 solve_singularity_handler sing_handler, |
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2230 blas_trans_type transt) const |
3480 | 2231 { |
2232 ComplexMatrix tmp (*this); | |
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2233 return tmp.solve (b, info, rcon, sing_handler, transt); |
3480 | 2234 } |
2235 | |
458 | 2236 Matrix |
2237 Matrix::lssolve (const Matrix& b) const | |
2238 { | |
5275 | 2239 octave_idx_type info; |
2240 octave_idx_type rank; | |
7788 | 2241 double rcon; |
2242 return lssolve (b, info, rank, rcon); | |
458 | 2243 } |
2244 | |
2245 Matrix | |
5275 | 2246 Matrix::lssolve (const Matrix& b, octave_idx_type& info) const |
458 | 2247 { |
5275 | 2248 octave_idx_type rank; |
7788 | 2249 double rcon; |
2250 return lssolve (b, info, rank, rcon); | |
458 | 2251 } |
2252 | |
2253 Matrix | |
7072 | 2254 Matrix::lssolve (const Matrix& b, octave_idx_type& info, |
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2255 octave_idx_type& rank) const |
458 | 2256 { |
7788 | 2257 double rcon; |
2258 return lssolve (b, info, rank, rcon); | |
7076 | 2259 } |
2260 | |
2261 Matrix | |
2262 Matrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2263 octave_idx_type& rank, double &rcon) const |
7076 | 2264 { |
1948 | 2265 Matrix retval; |
2266 | |
5275 | 2267 octave_idx_type nrhs = b.cols (); |
2268 | |
2269 octave_idx_type m = rows (); | |
2270 octave_idx_type n = cols (); | |
458 | 2271 |
6924 | 2272 if (m != b.rows ()) |
1948 | 2273 (*current_liboctave_error_handler) |
6924 | 2274 ("matrix dimension mismatch solution of linear equations"); |
2275 else if (m == 0 || n == 0 || b.cols () == 0) | |
2276 retval = Matrix (n, b.cols (), 0.0); | |
1948 | 2277 else |
458 | 2278 { |
7072 | 2279 volatile octave_idx_type minmn = (m < n ? m : n); |
2280 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2281 rcon = -1.0; |
7072 | 2282 if (m != n) |
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2283 { |
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2284 retval = Matrix (maxmn, nrhs, 0.0); |
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2285 |
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2286 for (octave_idx_type j = 0; j < nrhs; j++) |
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2287 for (octave_idx_type i = 0; i < m; i++) |
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2288 retval.elem (i, j) = b.elem (i, j); |
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2289 } |
7072 | 2290 else |
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2291 retval = b; |
7072 | 2292 |
1948 | 2293 Matrix atmp = *this; |
2294 double *tmp_data = atmp.fortran_vec (); | |
2295 | |
7072 | 2296 double *pretval = retval.fortran_vec (); |
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2297 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2298 double *ps = s.fortran_vec (); |
1948 | 2299 |
7072 | 2300 // Ask DGELSD what the dimension of WORK should be. |
5275 | 2301 octave_idx_type lwork = -1; |
3752 | 2302 |
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2303 Array<double> work (dim_vector (1, 1)); |
1948 | 2304 |
7477 | 2305 octave_idx_type smlsiz; |
2306 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), | |
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2307 F77_CONST_CHAR_ARG2 (" ", 1), |
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2308 0, 0, 0, 0, smlsiz |
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2309 F77_CHAR_ARG_LEN (6) |
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2310 F77_CHAR_ARG_LEN (1)); |
7079 | 2311 |
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2312 octave_idx_type mnthr; |
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2313 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2314 F77_CONST_CHAR_ARG2 (" ", 1), |
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2315 m, n, nrhs, -1, mnthr |
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2316 F77_CHAR_ARG_LEN (6) |
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2317 F77_CHAR_ARG_LEN (1)); |
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2318 |
7079 | 2319 // We compute the size of iwork because DGELSD in older versions |
2320 // of LAPACK does not return it on a query call. | |
7124 | 2321 double dminmn = static_cast<double> (minmn); |
2322 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
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2323 double tmp = xlog2 (dminmn / dsmlsizp1); |
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2324 |
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2325 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2326 if (nlvl < 0) |
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2327 nlvl = 0; |
7079 | 2328 |
2329 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2330 if (liwork < 1) | |
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2331 liwork = 1; |
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2332 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7072 | 2333 octave_idx_type* piwork = iwork.fortran_vec (); |
2334 | |
2335 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2336 ps, rcon, rank, work.fortran_vec (), |
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2337 lwork, piwork, info)); |
1948 | 2338 |
7476 | 2339 // The workspace query is broken in at least LAPACK 3.0.0 |
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2340 // through 3.1.1 when n >= mnthr. The obtuse formula below |
7476 | 2341 // should provide sufficient workspace for DGELSD to operate |
2342 // efficiently. | |
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2343 if (n > m && n >= mnthr) |
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2344 { |
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2345 const octave_idx_type wlalsd |
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2346 = 9*m + 2*m*smlsiz + 8*m*nlvl + m*nrhs + (smlsiz+1)*(smlsiz+1); |
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2347 |
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2348 octave_idx_type addend = m; |
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2349 |
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2350 if (2*m-4 > addend) |
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2351 addend = 2*m-4; |
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2352 |
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2353 if (nrhs > addend) |
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2354 addend = nrhs; |
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2355 |
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2356 if (n-3*m > addend) |
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2357 addend = n-3*m; |
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2358 |
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2359 if (wlalsd > addend) |
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2360 addend = wlalsd; |
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2361 |
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2362 const octave_idx_type lworkaround = 4*m + m*m + addend; |
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2363 |
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2364 if (work(0) < lworkaround) |
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2365 work(0) = lworkaround; |
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2366 } |
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2367 else if (m >= n) |
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2368 { |
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2369 octave_idx_type lworkaround |
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2370 = 12*n + 2*n*smlsiz + 8*n*nlvl + n*nrhs + (smlsiz+1)*(smlsiz+1); |
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2371 |
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2372 if (work(0) < lworkaround) |
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2373 work(0) = lworkaround; |
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2374 } |
7476 | 2375 |
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2376 lwork = static_cast<octave_idx_type> (work(0)); |
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2377 work.resize (dim_vector (lwork, 1)); |
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2378 |
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2379 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2380 maxmn, ps, rcon, rank, |
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2381 work.fortran_vec (), lwork, |
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2382 piwork, info)); |
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2383 |
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2384 if (s.elem (0) == 0.0) |
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2385 rcon = 0.0; |
1948 | 2386 else |
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2387 rcon = s.elem (minmn - 1) / s.elem (0); |
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2388 |
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|
2389 retval.resize (n, nrhs); |
458 | 2390 } |
2391 | |
2392 return retval; | |
2393 } | |
2394 | |
2395 ComplexMatrix | |
2396 Matrix::lssolve (const ComplexMatrix& b) const | |
2397 { | |
2398 ComplexMatrix tmp (*this); | |
5275 | 2399 octave_idx_type info; |
2400 octave_idx_type rank; | |
7788 | 2401 double rcon; |
2402 return tmp.lssolve (b, info, rank, rcon); | |
458 | 2403 } |
2404 | |
2405 ComplexMatrix | |
5275 | 2406 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
458 | 2407 { |
2408 ComplexMatrix tmp (*this); | |
5275 | 2409 octave_idx_type rank; |
7788 | 2410 double rcon; |
2411 return tmp.lssolve (b, info, rank, rcon); | |
458 | 2412 } |
2413 | |
2414 ComplexMatrix | |
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2415 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2416 octave_idx_type& rank) const |
458 | 2417 { |
2418 ComplexMatrix tmp (*this); | |
7788 | 2419 double rcon; |
2420 return tmp.lssolve (b, info, rank, rcon); | |
7076 | 2421 } |
2422 | |
2423 ComplexMatrix | |
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2424 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2425 octave_idx_type& rank, double& rcon) const |
7076 | 2426 { |
2427 ComplexMatrix tmp (*this); | |
7788 | 2428 return tmp.lssolve (b, info, rank, rcon); |
458 | 2429 } |
2430 | |
2431 ColumnVector | |
2432 Matrix::lssolve (const ColumnVector& b) const | |
2433 { | |
5275 | 2434 octave_idx_type info; |
2435 octave_idx_type rank; | |
7788 | 2436 double rcon; |
2437 return lssolve (b, info, rank, rcon); | |
458 | 2438 } |
2439 | |
2440 ColumnVector | |
5275 | 2441 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
458 | 2442 { |
5275 | 2443 octave_idx_type rank; |
7788 | 2444 double rcon; |
2445 return lssolve (b, info, rank, rcon); | |
458 | 2446 } |
2447 | |
2448 ColumnVector | |
7072 | 2449 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
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2450 octave_idx_type& rank) const |
458 | 2451 { |
7788 | 2452 double rcon; |
2453 return lssolve (b, info, rank, rcon); | |
7076 | 2454 } |
2455 | |
2456 ColumnVector | |
2457 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
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2458 octave_idx_type& rank, double &rcon) const |
7076 | 2459 { |
1948 | 2460 ColumnVector retval; |
2461 | |
5275 | 2462 octave_idx_type nrhs = 1; |
2463 | |
2464 octave_idx_type m = rows (); | |
2465 octave_idx_type n = cols (); | |
458 | 2466 |
6924 | 2467 if (m != b.length ()) |
1948 | 2468 (*current_liboctave_error_handler) |
6924 | 2469 ("matrix dimension mismatch solution of linear equations"); |
2470 else if (m == 0 || n == 0) | |
2471 retval = ColumnVector (n, 0.0); | |
1948 | 2472 else |
458 | 2473 { |
7072 | 2474 volatile octave_idx_type minmn = (m < n ? m : n); |
2475 octave_idx_type maxmn = m > n ? m : n; | |
7788 | 2476 rcon = -1.0; |
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2477 |
7072 | 2478 if (m != n) |
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2479 { |
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2480 retval = ColumnVector (maxmn, 0.0); |
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2481 |
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2482 for (octave_idx_type i = 0; i < m; i++) |
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2483 retval.elem (i) = b.elem (i); |
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2484 } |
7072 | 2485 else |
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2486 retval = b; |
7072 | 2487 |
1948 | 2488 Matrix atmp = *this; |
2489 double *tmp_data = atmp.fortran_vec (); | |
2490 | |
7072 | 2491 double *pretval = retval.fortran_vec (); |
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2492 Array<double> s (dim_vector (minmn, 1)); |
7071 | 2493 double *ps = s.fortran_vec (); |
1948 | 2494 |
7072 | 2495 // Ask DGELSD what the dimension of WORK should be. |
5275 | 2496 octave_idx_type lwork = -1; |
3752 | 2497 |
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2498 Array<double> work (dim_vector (1, 1)); |
3752 | 2499 |
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2500 octave_idx_type smlsiz; |
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2501 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2502 F77_CONST_CHAR_ARG2 (" ", 1), |
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2503 0, 0, 0, 0, smlsiz |
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2504 F77_CHAR_ARG_LEN (6) |
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2505 F77_CHAR_ARG_LEN (1)); |
7079 | 2506 |
2507 // We compute the size of iwork because DGELSD in older versions | |
2508 // of LAPACK does not return it on a query call. | |
7124 | 2509 double dminmn = static_cast<double> (minmn); |
2510 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
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2511 double tmp = xlog2 (dminmn / dsmlsizp1); |
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2512 |
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2513 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
7079 | 2514 if (nlvl < 0) |
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2515 nlvl = 0; |
7079 | 2516 |
2517 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
2518 if (liwork < 1) | |
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2519 liwork = 1; |
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2520 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
7072 | 2521 octave_idx_type* piwork = iwork.fortran_vec (); |
2522 | |
2523 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
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2524 ps, rcon, rank, work.fortran_vec (), |
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2525 lwork, piwork, info)); |
1948 | 2526 |
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2527 lwork = static_cast<octave_idx_type> (work(0)); |
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2528 work.resize (dim_vector (lwork, 1)); |
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2529 |
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2530 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
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2531 maxmn, ps, rcon, rank, |
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2532 work.fortran_vec (), lwork, |
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2533 piwork, info)); |
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2534 |
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2535 if (rank < minmn) |
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2536 { |
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2537 if (s.elem (0) == 0.0) |
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2538 rcon = 0.0; |
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2539 else |
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2540 rcon = s.elem (minmn - 1) / s.elem (0); |
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2541 } |
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2542 |
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2543 retval.resize (n, nrhs); |
458 | 2544 } |
2545 | |
2546 return retval; | |
2547 } | |
2548 | |
2549 ComplexColumnVector | |
2550 Matrix::lssolve (const ComplexColumnVector& b) const | |
2551 { | |
2552 ComplexMatrix tmp (*this); | |
7076 | 2553 octave_idx_type info; |
2554 octave_idx_type rank; | |
7788 | 2555 double rcon; |
2556 return tmp.lssolve (b, info, rank, rcon); | |
458 | 2557 } |
2558 | |
2559 ComplexColumnVector | |
5275 | 2560 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
458 | 2561 { |
2562 ComplexMatrix tmp (*this); | |
7076 | 2563 octave_idx_type rank; |
7788 | 2564 double rcon; |
2565 return tmp.lssolve (b, info, rank, rcon); | |
458 | 2566 } |
2567 | |
2568 ComplexColumnVector | |
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2569 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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2570 octave_idx_type& rank) const |
458 | 2571 { |
2572 ComplexMatrix tmp (*this); | |
7788 | 2573 double rcon; |
2574 return tmp.lssolve (b, info, rank, rcon); | |
7076 | 2575 } |
2576 | |
2577 ComplexColumnVector | |
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2578 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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2579 octave_idx_type& rank, double &rcon) const |
7076 | 2580 { |
2581 ComplexMatrix tmp (*this); | |
7788 | 2582 return tmp.lssolve (b, info, rank, rcon); |
458 | 2583 } |
2584 | |
2585 Matrix& | |
2586 Matrix::operator += (const DiagMatrix& a) | |
2587 { | |
5275 | 2588 octave_idx_type nr = rows (); |
2589 octave_idx_type nc = cols (); | |
2590 | |
2591 octave_idx_type a_nr = a.rows (); | |
2592 octave_idx_type a_nc = a.cols (); | |
2385 | 2593 |
2594 if (nr != a_nr || nc != a_nc) | |
458 | 2595 { |
2385 | 2596 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
458 | 2597 return *this; |
2598 } | |
2599 | |
5275 | 2600 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2601 elem (i, i) += a.elem (i, i); |
2602 | |
2603 return *this; | |
2604 } | |
2605 | |
2606 Matrix& | |
2607 Matrix::operator -= (const DiagMatrix& a) | |
2608 { | |
5275 | 2609 octave_idx_type nr = rows (); |
2610 octave_idx_type nc = cols (); | |
2611 | |
2612 octave_idx_type a_nr = a.rows (); | |
2613 octave_idx_type a_nc = a.cols (); | |
2385 | 2614 |
2615 if (nr != a_nr || nc != a_nc) | |
458 | 2616 { |
2385 | 2617 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
458 | 2618 return *this; |
2619 } | |
2620 | |
5275 | 2621 for (octave_idx_type i = 0; i < a.length (); i++) |
458 | 2622 elem (i, i) -= a.elem (i, i); |
2623 | |
2624 return *this; | |
2625 } | |
2626 | |
2627 // unary operations | |
2628 | |
2964 | 2629 boolMatrix |
458 | 2630 Matrix::operator ! (void) const |
2631 { | |
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2632 if (any_element_is_nan ()) |
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2633 gripe_nan_to_logical_conversion (); |
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2634 |
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2635 return do_mx_unary_op<bool, double> (*this, mx_inline_not); |
458 | 2636 } |
2637 | |
1205 | 2638 // column vector by row vector -> matrix operations |
458 | 2639 |
1205 | 2640 Matrix |
2641 operator * (const ColumnVector& v, const RowVector& a) | |
458 | 2642 { |
1948 | 2643 Matrix retval; |
2644 | |
5275 | 2645 octave_idx_type len = v.length (); |
3233 | 2646 |
2647 if (len != 0) | |
1205 | 2648 { |
5275 | 2649 octave_idx_type a_len = a.length (); |
3233 | 2650 |
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2651 retval = Matrix (len, a_len); |
3233 | 2652 double *c = retval.fortran_vec (); |
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2653 |
4552 | 2654 F77_XFCN (dgemm, DGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
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2655 F77_CONST_CHAR_ARG2 ("N", 1), |
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2656 len, a_len, 1, 1.0, v.data (), len, |
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2657 a.data (), 1, 0.0, c, len |
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2658 F77_CHAR_ARG_LEN (1) |
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2659 F77_CHAR_ARG_LEN (1))); |
1205 | 2660 } |
458 | 2661 |
1948 | 2662 return retval; |
458 | 2663 } |
2664 | |
2665 // other operations. | |
2666 | |
2385 | 2667 bool |
4431 | 2668 Matrix::any_element_is_negative (bool neg_zero) const |
2385 | 2669 { |
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2670 return (neg_zero ? test_all (xnegative_sign) |
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2671 : do_mx_check<double> (*this, mx_inline_any_negative)); |
2385 | 2672 } |
2673 | |
7922
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2674 bool |
13756
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2675 Matrix::any_element_is_positive (bool neg_zero) const |
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2676 { |
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2677 return (neg_zero ? test_all (xpositive_sign) |
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2678 : do_mx_check<double> (*this, mx_inline_any_positive)); |
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2679 } |
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2680 |
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2681 bool |
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2682 Matrix::any_element_is_nan (void) const |
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2683 { |
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2684 return do_mx_check<double> (*this, mx_inline_any_nan); |
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2685 } |
2385 | 2686 |
2687 bool | |
2688 Matrix::any_element_is_inf_or_nan (void) const | |
2689 { | |
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2690 return ! do_mx_check<double> (*this, mx_inline_all_finite); |
2385 | 2691 } |
2692 | |
2693 bool | |
5943 | 2694 Matrix::any_element_not_one_or_zero (void) const |
2695 { | |
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2696 return ! test_all (xis_one_or_zero); |
5943 | 2697 } |
2698 | |
2699 bool | |
2385 | 2700 Matrix::all_elements_are_int_or_inf_or_nan (void) const |
2701 { | |
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2702 return test_all (xis_int_or_inf_or_nan); |
2385 | 2703 } |
2704 | |
1968 | 2705 // Return nonzero if any element of M is not an integer. Also extract |
2706 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
2707 | |
2385 | 2708 bool |
1968 | 2709 Matrix::all_integers (double& max_val, double& min_val) const |
2710 { | |
5275 | 2711 octave_idx_type nel = nelem (); |
4634 | 2712 |
2713 if (nel > 0) | |
1968 | 2714 { |
4634 | 2715 max_val = elem (0); |
2716 min_val = elem (0); | |
1968 | 2717 } |
2718 else | |
2385 | 2719 return false; |
1968 | 2720 |
5275 | 2721 for (octave_idx_type i = 0; i < nel; i++) |
4634 | 2722 { |
2723 double val = elem (i); | |
2724 | |
2725 if (val > max_val) | |
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2726 max_val = val; |
4634 | 2727 |
2728 if (val < min_val) | |
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2729 min_val = val; |
4634 | 2730 |
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2731 if (! xisinteger (val)) |
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2732 return false; |
4634 | 2733 } |
2385 | 2734 |
2735 return true; | |
1968 | 2736 } |
2737 | |
2385 | 2738 bool |
1968 | 2739 Matrix::too_large_for_float (void) const |
2740 { | |
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2741 return test_any (xtoo_large_for_float); |
1968 | 2742 } |
2743 | |
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2744 // FIXME: Do these really belong here? Maybe they should be in a base class? |
458 | 2745 |
2832 | 2746 boolMatrix |
4015 | 2747 Matrix::all (int dim) const |
458 | 2748 { |
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2749 return do_mx_red_op<bool, double> (*this, dim, mx_inline_all); |
458 | 2750 } |
2751 | |
2832 | 2752 boolMatrix |
4015 | 2753 Matrix::any (int dim) const |
458 | 2754 { |
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2755 return do_mx_red_op<bool, double> (*this, dim, mx_inline_any); |
458 | 2756 } |
2757 | |
2758 Matrix | |
3723 | 2759 Matrix::cumprod (int dim) const |
458 | 2760 { |
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2761 return do_mx_cum_op<double, double> (*this, dim, mx_inline_cumprod); |
458 | 2762 } |
2763 | |
2764 Matrix | |
3723 | 2765 Matrix::cumsum (int dim) const |
458 | 2766 { |
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2767 return do_mx_cum_op<double, double> (*this, dim, mx_inline_cumsum); |
458 | 2768 } |
2769 | |
2770 Matrix | |
3723 | 2771 Matrix::prod (int dim) const |
458 | 2772 { |
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2773 return do_mx_red_op<double, double> (*this, dim, mx_inline_prod); |
458 | 2774 } |
2775 | |
2776 Matrix | |
3723 | 2777 Matrix::sum (int dim) const |
458 | 2778 { |
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2779 return do_mx_red_op<double, double> (*this, dim, mx_inline_sum); |
458 | 2780 } |
2781 | |
2782 Matrix | |
3723 | 2783 Matrix::sumsq (int dim) const |
458 | 2784 { |
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2785 return do_mx_red_op<double, double> (*this, dim, mx_inline_sumsq); |
458 | 2786 } |
2787 | |
2385 | 2788 Matrix |
2789 Matrix::abs (void) const | |
2790 { | |
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2791 return do_mx_unary_map<double, double, std::abs> (*this); |
2385 | 2792 } |
2793 | |
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36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
2794 Matrix |
5275 | 2795 Matrix::diag (octave_idx_type k) const |
458 | 2796 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2797 return MArray<double>::diag (k); |
458 | 2798 } |
2799 | |
14557
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2800 DiagMatrix |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2801 Matrix::diag (octave_idx_type m, octave_idx_type n) const |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2802 { |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2803 DiagMatrix retval; |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2804 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2805 octave_idx_type nr = rows (); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2806 octave_idx_type nc = cols (); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2807 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2808 if (nr == 1 || nc == 1) |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2809 retval = DiagMatrix (*this, m, n); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2810 else |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2811 (*current_liboctave_error_handler) |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2812 ("diag: expecting vector argument"); |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2813 |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2814 return retval; |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2815 } |
e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
John W. Eaton <jwe@octave.org>
parents:
14427
diff
changeset
|
2816 |
458 | 2817 ColumnVector |
2818 Matrix::row_min (void) const | |
2819 { | |
5275 | 2820 Array<octave_idx_type> dummy_idx; |
4587 | 2821 return row_min (dummy_idx); |
458 | 2822 } |
2823 | |
2824 ColumnVector | |
5275 | 2825 Matrix::row_min (Array<octave_idx_type>& idx_arg) const |
458 | 2826 { |
2827 ColumnVector result; | |
2828 | |
5275 | 2829 octave_idx_type nr = rows (); |
2830 octave_idx_type nc = cols (); | |
458 | 2831 |
2832 if (nr > 0 && nc > 0) | |
2833 { | |
2834 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
2835 idx_arg.resize (dim_vector (nr, 1)); |
458 | 2836 |
5275 | 2837 for (octave_idx_type i = 0; i < nr; i++) |
458 | 2838 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2839 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2840 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2841 double tmp_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2842 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2843 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2844 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2845 tmp_min = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2846 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2847 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2848 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2849 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2850 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2851 for (octave_idx_type j = idx_j+1; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2852 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2853 double tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2854 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2855 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2856 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2857 else if (tmp < tmp_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2858 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2859 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2860 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2861 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2862 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2863 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2864 result.elem (i) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2865 idx_arg.elem (i) = xisnan (tmp_min) ? 0 : idx_j; |
458 | 2866 } |
2867 } | |
2868 | |
2869 return result; | |
2870 } | |
2871 | |
2872 ColumnVector | |
2873 Matrix::row_max (void) const | |
2874 { | |
5275 | 2875 Array<octave_idx_type> dummy_idx; |
4587 | 2876 return row_max (dummy_idx); |
458 | 2877 } |
2878 | |
2879 ColumnVector | |
5275 | 2880 Matrix::row_max (Array<octave_idx_type>& idx_arg) const |
458 | 2881 { |
2882 ColumnVector result; | |
2883 | |
5275 | 2884 octave_idx_type nr = rows (); |
2885 octave_idx_type nc = cols (); | |
458 | 2886 |
2887 if (nr > 0 && nc > 0) | |
2888 { | |
2889 result.resize (nr); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
2890 idx_arg.resize (dim_vector (nr, 1)); |
458 | 2891 |
5275 | 2892 for (octave_idx_type i = 0; i < nr; i++) |
458 | 2893 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2894 octave_idx_type idx_j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2895 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2896 double tmp_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2897 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2898 for (idx_j = 0; idx_j < nc; idx_j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2899 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2900 tmp_max = elem (i, idx_j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2901 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2902 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2903 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2904 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2905 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2906 for (octave_idx_type j = idx_j+1; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2907 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2908 double tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2909 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2910 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2911 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2912 else if (tmp > tmp_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2913 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2914 idx_j = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2915 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2916 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2917 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2918 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2919 result.elem (i) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2920 idx_arg.elem (i) = xisnan (tmp_max) ? 0 : idx_j; |
458 | 2921 } |
2922 } | |
2923 | |
2924 return result; | |
2925 } | |
2926 | |
2927 RowVector | |
2928 Matrix::column_min (void) const | |
2929 { | |
5275 | 2930 Array<octave_idx_type> dummy_idx; |
4587 | 2931 return column_min (dummy_idx); |
458 | 2932 } |
2354 | 2933 |
458 | 2934 RowVector |
5275 | 2935 Matrix::column_min (Array<octave_idx_type>& idx_arg) const |
458 | 2936 { |
2937 RowVector result; | |
2938 | |
5275 | 2939 octave_idx_type nr = rows (); |
2940 octave_idx_type nc = cols (); | |
458 | 2941 |
2942 if (nr > 0 && nc > 0) | |
2943 { | |
2944 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
2945 idx_arg.resize (dim_vector (1, nc)); |
458 | 2946 |
5275 | 2947 for (octave_idx_type j = 0; j < nc; j++) |
458 | 2948 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2949 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2950 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2951 double tmp_min = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2952 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2953 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2954 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2955 tmp_min = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2956 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2957 if (! xisnan (tmp_min)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2958 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2959 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2960 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2961 for (octave_idx_type i = idx_i+1; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2962 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2963 double tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2964 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2965 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2966 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2967 else if (tmp < tmp_min) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2968 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2969 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2970 tmp_min = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2971 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2972 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2973 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2974 result.elem (j) = tmp_min; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2975 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_i; |
458 | 2976 } |
2977 } | |
2978 | |
2979 return result; | |
2980 } | |
2981 | |
2354 | 2982 RowVector |
2983 Matrix::column_max (void) const | |
2984 { | |
5275 | 2985 Array<octave_idx_type> dummy_idx; |
4587 | 2986 return column_max (dummy_idx); |
2354 | 2987 } |
458 | 2988 |
2989 RowVector | |
5275 | 2990 Matrix::column_max (Array<octave_idx_type>& idx_arg) const |
458 | 2991 { |
2992 RowVector result; | |
2993 | |
5275 | 2994 octave_idx_type nr = rows (); |
2995 octave_idx_type nc = cols (); | |
458 | 2996 |
2997 if (nr > 0 && nc > 0) | |
2998 { | |
2999 result.resize (nc); | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
3000 idx_arg.resize (dim_vector (1, nc)); |
458 | 3001 |
5275 | 3002 for (octave_idx_type j = 0; j < nc; j++) |
458 | 3003 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3004 octave_idx_type idx_i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3005 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3006 double tmp_max = octave_NaN; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3007 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3008 for (idx_i = 0; idx_i < nr; idx_i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3009 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3010 tmp_max = elem (idx_i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3011 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3012 if (! xisnan (tmp_max)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3013 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3014 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3015 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3016 for (octave_idx_type i = idx_i+1; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3017 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3018 double tmp = elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3019 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3020 if (xisnan (tmp)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3021 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3022 else if (tmp > tmp_max) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3023 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3024 idx_i = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3025 tmp_max = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3026 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3027 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3028 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3029 result.elem (j) = tmp_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3030 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_i; |
458 | 3031 } |
3032 } | |
3033 | |
3034 return result; | |
3035 } | |
3036 | |
3504 | 3037 std::ostream& |
3038 operator << (std::ostream& os, const Matrix& a) | |
458 | 3039 { |
5275 | 3040 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 3041 { |
5275 | 3042 for (octave_idx_type j = 0; j < a.cols (); j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3043 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3044 os << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3045 octave_write_double (os, a.elem (i, j)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3046 } |
458 | 3047 os << "\n"; |
3048 } | |
3049 return os; | |
3050 } | |
3051 | |
3504 | 3052 std::istream& |
3053 operator >> (std::istream& is, Matrix& a) | |
458 | 3054 { |
5275 | 3055 octave_idx_type nr = a.rows (); |
3056 octave_idx_type nc = a.cols (); | |
458 | 3057 |
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3058 if (nr > 0 && nc > 0) |
458 | 3059 { |
3060 double tmp; | |
5275 | 3061 for (octave_idx_type i = 0; i < nr; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3062 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3063 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3064 tmp = octave_read_value<double> (is); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3065 if (is) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3066 a.elem (i, j) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3067 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3068 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3069 } |
458 | 3070 } |
3071 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3072 done: |
2795 | 3073 |
458 | 3074 return is; |
3075 } | |
3076 | |
1819 | 3077 Matrix |
3078 Givens (double x, double y) | |
3079 { | |
3080 double cc, s, temp_r; | |
3081 | |
3887 | 3082 F77_FUNC (dlartg, DLARTG) (x, y, cc, s, temp_r); |
1819 | 3083 |
3084 Matrix g (2, 2); | |
3085 | |
3086 g.elem (0, 0) = cc; | |
3087 g.elem (1, 1) = cc; | |
3088 g.elem (0, 1) = s; | |
3089 g.elem (1, 0) = -s; | |
3090 | |
3091 return g; | |
3092 } | |
3093 | |
3094 Matrix | |
3095 Sylvester (const Matrix& a, const Matrix& b, const Matrix& c) | |
3096 { | |
3097 Matrix retval; | |
3098 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3099 // FIXME: need to check that a, b, and c are all the same size. |
1819 | 3100 |
3101 // Compute Schur decompositions. | |
3102 | |
3103 SCHUR as (a, "U"); | |
3104 SCHUR bs (b, "U"); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3105 |
1819 | 3106 // Transform c to new coordinates. |
3107 | |
3108 Matrix ua = as.unitary_matrix (); | |
3109 Matrix sch_a = as.schur_matrix (); | |
3110 | |
3111 Matrix ub = bs.unitary_matrix (); | |
3112 Matrix sch_b = bs.schur_matrix (); | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3113 |
1819 | 3114 Matrix cx = ua.transpose () * c * ub; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3115 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3116 // Solve the sylvester equation, back-transform, and return the solution. |
1819 | 3117 |
5275 | 3118 octave_idx_type a_nr = a.rows (); |
3119 octave_idx_type b_nr = b.rows (); | |
1819 | 3120 |
3121 double scale; | |
5275 | 3122 octave_idx_type info; |
1819 | 3123 |
1950 | 3124 double *pa = sch_a.fortran_vec (); |
3125 double *pb = sch_b.fortran_vec (); | |
3126 double *px = cx.fortran_vec (); | |
3127 | |
4552 | 3128 F77_XFCN (dtrsyl, DTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3129 F77_CONST_CHAR_ARG2 ("N", 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3130 1, a_nr, b_nr, pa, a_nr, pb, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3131 b_nr, px, a_nr, scale, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3132 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3133 F77_CHAR_ARG_LEN (1))); |
1950 | 3134 |
3135 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3136 // FIXME: check info? |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3137 |
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3138 retval = -ua*cx*ub.transpose (); |
1819 | 3139 |
3140 return retval; | |
3141 } | |
3142 | |
2828 | 3143 // matrix by matrix -> matrix operations |
3144 | |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3145 /* |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3146 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3147 ## Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3148 %!assert ([1 2 3] * [ 4 ; 5 ; 6], 32, 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3149 %!assert ([1 2 ; 3 4 ] * [5 ; 6], [17 ; 39 ], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3150 %!assert ([1 2 ; 3 4 ] * [5 6 ; 7 8], [19 22; 43 50], 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3151 |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3152 ## Test some simple identities |
12992
0413227e407b
dMatrix.cc: Fix tests introduced by changeset f217edac2c71. Declare variables
Marco atzeri <marco.atzeri@gmail.com>
parents:
12986
diff
changeset
|
3153 %!shared M, cv, rv, Mt, rvt |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3154 %! M = randn (10,10) + 100*eye (10,10); |
12986
f217edac2c71
fix dimension check for A'\B (bug #33997)
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3155 %! Mt = M'; |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3156 %! cv = randn (10,1); |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3157 %! rv = randn (1,10); |
12986
f217edac2c71
fix dimension check for A'\B (bug #33997)
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
3158 %! rvt = rv'; |
14427
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3159 %!assert ([M*cv,M*cv], M*[cv,cv], 1e-13) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3160 %!assert ([M'*cv,M'*cv], M'*[cv,cv], 1e-13) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3161 %!assert ([rv*M;rv*M], [rv;rv]*M, 1e-13) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3162 %!assert ([rv*M';rv*M'], [rv;rv]*M', 1e-13) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3163 %!assert (2*rv*cv, [rv,rv]*[cv;cv], 1e-13) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3164 %!assert (M'\cv, Mt\cv, 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3165 %!assert (M'\rv', Mt\rvt, 1e-14) |
d07e989686b0
Use Octave coding conventions in liboctave %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3166 |
6162 | 3167 */ |
3168 | |
11516 | 3169 static inline char |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3170 get_blas_trans_arg (bool trans) |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3171 { |
11516 | 3172 return trans ? 'T' : 'N'; |
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3173 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3174 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3175 // 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
|
3176 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3177 Matrix |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3178 xgemm (const Matrix& a, const Matrix& b, |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3179 blas_trans_type transa, blas_trans_type transb) |
2828 | 3180 { |
3181 Matrix retval; | |
3182 | |
18084
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3183 bool tra = transa != blas_no_trans; |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3184 bool trb = transb != blas_no_trans; |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3185 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3186 octave_idx_type a_nr = tra ? a.cols () : a.rows (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3187 octave_idx_type a_nc = tra ? a.rows () : a.cols (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3188 |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3189 octave_idx_type b_nr = trb ? b.cols () : b.rows (); |
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3190 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
|
3191 |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3192 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
|
3193 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
2828 | 3194 else |
3195 { | |
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
|
3196 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3197 retval = Matrix (a_nr, b_nc, 0.0); |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3198 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
|
3199 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3200 octave_idx_type lda = a.rows (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3201 |
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3202 retval = Matrix (a_nr, b_nc); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3203 double *c = retval.fortran_vec (); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3204 |
11516 | 3205 const char ctra = get_blas_trans_arg (tra); |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3206 F77_XFCN (dsyrk, DSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
11516 | 3207 F77_CONST_CHAR_ARG2 (&ctra, 1), |
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3208 a_nr, a_nc, 1.0, |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3209 a.data (), lda, 0.0, c, a_nr |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3210 F77_CHAR_ARG_LEN (1) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3211 F77_CHAR_ARG_LEN (1))); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3212 for (int j = 0; j < a_nr; j++) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3213 for (int i = 0; i < j; i++) |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3214 retval.xelem (j,i) = retval.xelem (i,j); |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3215 |
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3216 } |
2828 | 3217 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3218 { |
18084
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3219 octave_idx_type lda = a.rows (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3220 octave_idx_type tda = a.cols (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3221 octave_idx_type ldb = b.rows (); |
8e056300994b
Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents:
18083
diff
changeset
|
3222 octave_idx_type tdb = b.cols (); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3223 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3224 retval = Matrix (a_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3225 double *c = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3226 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3227 if (b_nc == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3228 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3229 if (a_nr == 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3230 F77_FUNC (xddot, XDDOT) (a_nc, a.data (), 1, b.data (), 1, *c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3231 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3232 { |
11516 | 3233 const char ctra = get_blas_trans_arg (tra); |
3234 F77_XFCN (dgemv, DGEMV, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3235 lda, tda, 1.0, a.data (), lda, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3236 b.data (), 1, 0.0, c, 1 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3237 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3238 } |
5983 | 3239 } |
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
|
3240 else if (a_nr == 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
|
3241 { |
11516 | 3242 const char crevtrb = get_blas_trans_arg (! trb); |
3243 F77_XFCN (dgemv, DGEMV, (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
|
3244 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
|
3245 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
|
3246 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
|
3247 } |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3248 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3249 { |
11516 | 3250 const char ctra = get_blas_trans_arg (tra); |
3251 const char ctrb = get_blas_trans_arg (trb); | |
3252 F77_XFCN (dgemm, DGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
3253 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3254 a_nr, b_nc, a_nc, 1.0, a.data (), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3255 lda, b.data (), ldb, 0.0, c, a_nr |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3256 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3257 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3258 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3259 } |
2828 | 3260 } |
3261 | |
3262 return retval; | |
3263 } | |
3264 | |
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
|
3265 Matrix |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3266 operator * (const Matrix& a, const Matrix& 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
|
3267 { |
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3268 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
|
3269 } |
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3270 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3271 // FIXME: it would be nice to share code among the min/max functions below. |
4309 | 3272 |
3273 #define EMPTY_RETURN_CHECK(T) \ | |
3274 if (nr == 0 || nc == 0) \ | |
3275 return T (nr, nc); | |
3276 | |
3277 Matrix | |
3278 min (double d, const Matrix& m) | |
3279 { | |
5275 | 3280 octave_idx_type nr = m.rows (); |
3281 octave_idx_type nc = m.columns (); | |
4309 | 3282 |
3283 EMPTY_RETURN_CHECK (Matrix); | |
3284 | |
3285 Matrix result (nr, nc); | |
3286 | |
5275 | 3287 for (octave_idx_type j = 0; j < nc; j++) |
3288 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3289 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3290 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3291 result(i, j) = xmin (d, m(i, j)); |
4309 | 3292 } |
3293 | |
3294 return result; | |
3295 } | |
3296 | |
3297 Matrix | |
3298 min (const Matrix& m, double d) | |
3299 { | |
5275 | 3300 octave_idx_type nr = m.rows (); |
3301 octave_idx_type nc = m.columns (); | |
4309 | 3302 |
3303 EMPTY_RETURN_CHECK (Matrix); | |
3304 | |
3305 Matrix result (nr, nc); | |
3306 | |
5275 | 3307 for (octave_idx_type j = 0; j < nc; j++) |
3308 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3309 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3310 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3311 result(i, j) = xmin (m(i, j), d); |
4309 | 3312 } |
3313 | |
3314 return result; | |
3315 } | |
3316 | |
3317 Matrix | |
3318 min (const Matrix& a, const Matrix& b) | |
3319 { | |
5275 | 3320 octave_idx_type nr = a.rows (); |
3321 octave_idx_type nc = a.columns (); | |
4309 | 3322 |
3323 if (nr != b.rows () || nc != b.columns ()) | |
3324 { | |
3325 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3326 ("two-arg min expecting args of same size"); |
4309 | 3327 return Matrix (); |
3328 } | |
3329 | |
3330 EMPTY_RETURN_CHECK (Matrix); | |
3331 | |
3332 Matrix result (nr, nc); | |
3333 | |
5275 | 3334 for (octave_idx_type j = 0; j < nc; j++) |
3335 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3336 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3337 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3338 result(i, j) = xmin (a(i, j), b(i, j)); |
4309 | 3339 } |
3340 | |
3341 return result; | |
3342 } | |
3343 | |
3344 Matrix | |
3345 max (double d, const Matrix& m) | |
3346 { | |
5275 | 3347 octave_idx_type nr = m.rows (); |
3348 octave_idx_type nc = m.columns (); | |
4309 | 3349 |
3350 EMPTY_RETURN_CHECK (Matrix); | |
3351 | |
3352 Matrix result (nr, nc); | |
3353 | |
5275 | 3354 for (octave_idx_type j = 0; j < nc; j++) |
3355 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3356 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3358 result(i, j) = xmax (d, m(i, j)); |
4309 | 3359 } |
3360 | |
3361 return result; | |
3362 } | |
3363 | |
3364 Matrix | |
3365 max (const Matrix& m, double d) | |
3366 { | |
5275 | 3367 octave_idx_type nr = m.rows (); |
3368 octave_idx_type nc = m.columns (); | |
4309 | 3369 |
3370 EMPTY_RETURN_CHECK (Matrix); | |
3371 | |
3372 Matrix result (nr, nc); | |
3373 | |
5275 | 3374 for (octave_idx_type j = 0; j < nc; j++) |
3375 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3376 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3377 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3378 result(i, j) = xmax (m(i, j), d); |
4309 | 3379 } |
3380 | |
3381 return result; | |
3382 } | |
3383 | |
3384 Matrix | |
3385 max (const Matrix& a, const Matrix& b) | |
3386 { | |
5275 | 3387 octave_idx_type nr = a.rows (); |
3388 octave_idx_type nc = a.columns (); | |
4309 | 3389 |
3390 if (nr != b.rows () || nc != b.columns ()) | |
3391 { | |
3392 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3393 ("two-arg max expecting args of same size"); |
4309 | 3394 return Matrix (); |
3395 } | |
3396 | |
3397 EMPTY_RETURN_CHECK (Matrix); | |
3398 | |
3399 Matrix result (nr, nc); | |
3400 | |
5275 | 3401 for (octave_idx_type j = 0; j < nc; j++) |
3402 for (octave_idx_type i = 0; i < nr; i++) | |
4309 | 3403 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3404 octave_quit (); |
18083
938f01339043
maint: Use Octave coding convention for indexing vs. function calls in liboctave/array.
Rik <rik@octave.org>
parents:
17769
diff
changeset
|
3405 result(i, j) = xmax (a(i, j), b(i, j)); |
4309 | 3406 } |
3407 | |
3408 return result; | |
3409 } | |
3410 | |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3411 Matrix linspace (const ColumnVector& x1, |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3412 const ColumnVector& x2, |
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3413 octave_idx_type n) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3414 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3415 { |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3416 if (n < 1) n = 1; |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3417 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3418 octave_idx_type m = x1.length (); |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3419 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3420 if (x2.length () != m) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3421 (*current_liboctave_error_handler) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3422 ("linspace: vectors must be of equal length"); |
9653
e087d7c77ff9
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Jaroslav Hajek <highegg@gmail.com>
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9601
diff
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|
3423 |
e087d7c77ff9
improve linspace in liboctave
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parents:
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changeset
|
3424 NoAlias<Matrix> retval; |
e087d7c77ff9
improve linspace in liboctave
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parents:
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diff
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|
3425 |
e087d7c77ff9
improve linspace in liboctave
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parents:
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changeset
|
3426 retval.clear (m, n); |
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
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3427 for (octave_idx_type i = 0; i < m; i++) |
e087d7c77ff9
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Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
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|
3428 retval(i, 0) = x1(i); |
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
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|
3429 |
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3430 // The last column is not needed while using delta. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3431 double *delta = &retval(0, n-1); |
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improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
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3432 for (octave_idx_type i = 0; i < m; i++) |
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improve linspace in liboctave
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parents:
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|
3433 delta[i] = (x2(i) - x1(i)) / (n - 1); |
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parents:
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3434 |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
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|
3435 for (octave_idx_type j = 1; j < n-1; j++) |
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
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3436 for (octave_idx_type i = 0; i < m; i++) |
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
3437 retval(i, j) = x1(i) + j*delta[i]; |
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parents:
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3438 |
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parents:
9601
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|
3439 for (octave_idx_type i = 0; i < m; i++) |
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parents:
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3440 retval(i, n-1) = x2(i); |
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parents:
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3441 |
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3442 return retval; |
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parents:
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|
3443 } |
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parents:
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|
3444 |
9578
7dafdb8b062f
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Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
3445 MS_CMP_OPS (Matrix, double) |
9550
3d6a9aea2aea
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parents:
9528
diff
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3446 MS_BOOL_OPS (Matrix, double) |
2870 | 3447 |
9578
7dafdb8b062f
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parents:
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diff
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|
3448 SM_CMP_OPS (double, Matrix) |
9550
3d6a9aea2aea
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parents:
9528
diff
changeset
|
3449 SM_BOOL_OPS (double, Matrix) |
2870 | 3450 |
9578
7dafdb8b062f
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Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
3451 MM_CMP_OPS (Matrix, Matrix) |
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3452 MM_BOOL_OPS (Matrix, Matrix) |