Mercurial > hg > octave-lyh
annotate liboctave/CSparse.cc @ 11505:9a308e96194e
more data member initialization fixes
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 13 Jan 2011 03:57:11 -0500 |
parents | 7c573eb981eb |
children | 141b3fb5cef7 |
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5164 | 1 /* |
2 | |
8920 | 3 Copyright (C) 2004, 2005, 2006, 2007, 2008, 2009 David Bateman |
7016 | 4 Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003, 2004 Andy Adler |
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5 Copyright (C) 2010 VZLU Prague |
7016 | 6 |
7 This file is part of Octave. | |
5164 | 8 |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
5164 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
5164 | 22 |
23 */ | |
24 | |
25 #ifdef HAVE_CONFIG_H | |
26 #include <config.h> | |
27 #endif | |
28 | |
29 #include <cfloat> | |
30 | |
31 #include <iostream> | |
32 #include <vector> | |
33 | |
34 #include "quit.h" | |
35 #include "lo-ieee.h" | |
36 #include "lo-mappers.h" | |
37 #include "f77-fcn.h" | |
38 #include "dRowVector.h" | |
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39 #include "oct-locbuf.h" |
5164 | 40 |
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41 #include "dDiagMatrix.h" |
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42 #include "CDiagMatrix.h" |
5164 | 43 #include "CSparse.h" |
44 #include "boolSparse.h" | |
45 #include "dSparse.h" | |
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46 #include "functor.h" |
5164 | 47 #include "oct-spparms.h" |
48 #include "SparseCmplxLU.h" | |
5451 | 49 #include "oct-sparse.h" |
5506 | 50 #include "sparse-util.h" |
51 #include "SparseCmplxCHOL.h" | |
5610 | 52 #include "SparseCmplxQR.h" |
5164 | 53 |
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54 #include "Sparse-diag-op-defs.h" |
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55 |
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56 #include "Sparse-perm-op-defs.h" |
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57 #include "mx-inlines.cc" |
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58 |
5681 | 59 // Define whether to use a basic QR solver or one that uses a Dulmange |
60 // Mendelsohn factorization to seperate the problem into under-determined, | |
61 // well-determined and over-determined parts and solves them seperately | |
62 #ifndef USE_QRSOLVE | |
63 #include "sparse-dmsolve.cc" | |
64 #endif | |
65 | |
5164 | 66 // Fortran functions we call. |
67 extern "C" | |
68 { | |
69 F77_RET_T | |
5275 | 70 F77_FUNC (zgbtrf, ZGBTRF) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type*, octave_idx_type&); |
5164 | 72 |
73 F77_RET_T | |
5275 | 74 F77_FUNC (zgbtrs, ZGBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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75 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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76 const Complex*, const octave_idx_type&, |
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77 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& |
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78 F77_CHAR_ARG_LEN_DECL); |
5164 | 79 |
80 F77_RET_T | |
5275 | 81 F77_FUNC (zgbcon, ZGBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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82 const octave_idx_type&, const octave_idx_type&, Complex*, |
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83 const octave_idx_type&, const octave_idx_type*, const double&, |
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84 double&, Complex*, double*, octave_idx_type& |
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85 F77_CHAR_ARG_LEN_DECL); |
5164 | 86 |
87 F77_RET_T | |
5275 | 88 F77_FUNC (zpbtrf, ZPBTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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89 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type& |
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90 F77_CHAR_ARG_LEN_DECL); |
5164 | 91 |
92 F77_RET_T | |
5275 | 93 F77_FUNC (zpbtrs, ZPBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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94 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
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95 Complex*, const octave_idx_type&, octave_idx_type& |
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96 F77_CHAR_ARG_LEN_DECL); |
5164 | 97 |
98 F77_RET_T | |
5275 | 99 F77_FUNC (zpbcon, ZPBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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100 const octave_idx_type&, Complex*, const octave_idx_type&, |
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101 const double&, double&, Complex*, double*, octave_idx_type& |
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102 F77_CHAR_ARG_LEN_DECL); |
5164 | 103 |
104 F77_RET_T | |
5275 | 105 F77_FUNC (zgttrf, ZGTTRF) (const octave_idx_type&, Complex*, Complex*, Complex*, |
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106 Complex*, octave_idx_type*, octave_idx_type&); |
5164 | 107 |
108 F77_RET_T | |
5275 | 109 F77_FUNC (zgttrs, ZGTTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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110 const octave_idx_type&, const Complex*, const Complex*, |
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111 const Complex*, const Complex*, const octave_idx_type*, |
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112 Complex *, const octave_idx_type&, octave_idx_type& |
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113 F77_CHAR_ARG_LEN_DECL); |
5164 | 114 |
115 F77_RET_T | |
5322 | 116 F77_FUNC (zptsv, ZPTSV) (const octave_idx_type&, const octave_idx_type&, double*, Complex*, |
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117 Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 118 |
119 F77_RET_T | |
5275 | 120 F77_FUNC (zgtsv, ZGTSV) (const octave_idx_type&, const octave_idx_type&, Complex*, Complex*, |
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121 Complex*, Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 122 } |
123 | |
124 SparseComplexMatrix::SparseComplexMatrix (const SparseMatrix& a) | |
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125 : MSparse<Complex> (a) |
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126 { |
5164 | 127 } |
128 | |
129 SparseComplexMatrix::SparseComplexMatrix (const SparseBoolMatrix& a) | |
5681 | 130 : MSparse<Complex> (a.rows (), a.cols (), a.nnz ()) |
5164 | 131 { |
5275 | 132 octave_idx_type nc = cols (); |
5681 | 133 octave_idx_type nz = a.nnz (); |
5275 | 134 |
135 for (octave_idx_type i = 0; i < nc + 1; i++) | |
5164 | 136 cidx (i) = a.cidx (i); |
137 | |
5275 | 138 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 139 { |
5681 | 140 data (i) = Complex (a.data (i)); |
5164 | 141 ridx (i) = a.ridx (i); |
142 } | |
143 } | |
144 | |
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145 SparseComplexMatrix::SparseComplexMatrix (const ComplexDiagMatrix& a) |
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146 : MSparse<Complex> (a.rows (), a.cols (), a.length ()) |
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147 { |
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148 octave_idx_type j = 0, l = a.length (); |
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149 for (octave_idx_type i = 0; i < l; i++) |
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150 { |
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151 cidx (i) = j; |
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152 if (a(i, i) != 0.0) |
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153 { |
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154 data (j) = a(i, i); |
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155 ridx (j) = i; |
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156 j++; |
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157 } |
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158 } |
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159 for (octave_idx_type i = l; i <= a.cols (); i++) |
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160 cidx(i) = j; |
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161 } |
5164 | 162 bool |
163 SparseComplexMatrix::operator == (const SparseComplexMatrix& a) const | |
164 { | |
5275 | 165 octave_idx_type nr = rows (); |
166 octave_idx_type nc = cols (); | |
5681 | 167 octave_idx_type nz = nnz (); |
5275 | 168 octave_idx_type nr_a = a.rows (); |
169 octave_idx_type nc_a = a.cols (); | |
5681 | 170 octave_idx_type nz_a = a.nnz (); |
5164 | 171 |
172 if (nr != nr_a || nc != nc_a || nz != nz_a) | |
173 return false; | |
174 | |
5275 | 175 for (octave_idx_type i = 0; i < nc + 1; i++) |
5164 | 176 if (cidx(i) != a.cidx(i)) |
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177 return false; |
5164 | 178 |
5275 | 179 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 180 if (data(i) != a.data(i) || ridx(i) != a.ridx(i)) |
181 return false; | |
182 | |
183 return true; | |
184 } | |
185 | |
186 bool | |
187 SparseComplexMatrix::operator != (const SparseComplexMatrix& a) const | |
188 { | |
189 return !(*this == a); | |
190 } | |
191 | |
192 bool | |
193 SparseComplexMatrix::is_hermitian (void) const | |
194 { | |
5275 | 195 octave_idx_type nr = rows (); |
196 octave_idx_type nc = cols (); | |
5164 | 197 |
6207 | 198 if (nr == nc && nr > 0) |
5164 | 199 { |
6207 | 200 for (octave_idx_type j = 0; j < nc; j++) |
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201 { |
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202 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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203 { |
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204 octave_idx_type ri = ridx(i); |
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205 |
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206 if (ri != j) |
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207 { |
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208 bool found = false; |
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209 |
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210 for (octave_idx_type k = cidx(ri); k < cidx(ri+1); k++) |
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211 { |
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212 if (ridx(k) == j) |
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213 { |
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214 if (data(i) == conj(data(k))) |
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215 found = true; |
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216 break; |
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217 } |
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218 } |
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219 |
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220 if (! found) |
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221 return false; |
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222 } |
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223 } |
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224 } |
5164 | 225 |
226 return true; | |
227 } | |
228 | |
229 return false; | |
230 } | |
231 | |
232 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); | |
233 | |
234 SparseComplexMatrix | |
235 SparseComplexMatrix::max (int dim) const | |
236 { | |
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237 Array<octave_idx_type> dummy_idx; |
5164 | 238 return max (dummy_idx, dim); |
239 } | |
240 | |
241 SparseComplexMatrix | |
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242 SparseComplexMatrix::max (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 243 { |
244 SparseComplexMatrix result; | |
245 dim_vector dv = dims (); | |
246 | |
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247 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 248 return result; |
249 | |
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250 if (dim < 0) |
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251 dim = dv.first_non_singleton (); |
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252 |
5275 | 253 octave_idx_type nr = dv(0); |
254 octave_idx_type nc = dv(1); | |
5164 | 255 |
256 if (dim == 0) | |
257 { | |
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258 idx_arg.clear (1, nc); |
5275 | 259 octave_idx_type nel = 0; |
260 for (octave_idx_type j = 0; j < nc; j++) | |
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261 { |
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262 Complex tmp_max; |
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263 double abs_max = octave_NaN; |
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264 octave_idx_type idx_j = 0; |
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265 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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266 { |
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267 if (ridx(i) != idx_j) |
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268 break; |
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269 else |
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270 idx_j++; |
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271 } |
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272 |
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273 if (idx_j != nr) |
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274 { |
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275 tmp_max = 0.; |
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276 abs_max = 0.; |
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277 } |
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278 |
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279 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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280 { |
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281 Complex tmp = data (i); |
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282 |
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283 if (xisnan (tmp)) |
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284 continue; |
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285 |
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286 double abs_tmp = std::abs (tmp); |
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287 |
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288 if (xisnan (abs_max) || abs_tmp > abs_max) |
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289 { |
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290 idx_j = ridx (i); |
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291 tmp_max = tmp; |
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292 abs_max = abs_tmp; |
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293 } |
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294 } |
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295 |
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296 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_j; |
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297 if (abs_max != 0.) |
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298 nel++; |
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299 } |
5164 | 300 |
301 result = SparseComplexMatrix (1, nc, nel); | |
302 | |
5275 | 303 octave_idx_type ii = 0; |
5164 | 304 result.xcidx (0) = 0; |
5275 | 305 for (octave_idx_type j = 0; j < nc; j++) |
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306 { |
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307 Complex tmp = elem (idx_arg(j), j); |
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308 if (tmp != 0.) |
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309 { |
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310 result.xdata (ii) = tmp; |
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311 result.xridx (ii++) = 0; |
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312 } |
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313 result.xcidx (j+1) = ii; |
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314 } |
5164 | 315 } |
316 else | |
317 { | |
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318 idx_arg.resize (nr, 1, 0); |
5164 | 319 |
5275 | 320 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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321 idx_arg.elem(ridx(i)) = -1; |
5164 | 322 |
5275 | 323 for (octave_idx_type j = 0; j < nc; j++) |
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324 for (octave_idx_type i = 0; i < nr; i++) |
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325 { |
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326 if (idx_arg.elem(i) != -1) |
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327 continue; |
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328 bool found = false; |
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329 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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330 if (ridx(k) == i) |
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331 { |
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332 found = true; |
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333 break; |
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334 } |
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335 |
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336 if (!found) |
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337 idx_arg.elem(i) = j; |
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338 |
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339 } |
5164 | 340 |
5275 | 341 for (octave_idx_type j = 0; j < nc; j++) |
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342 { |
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343 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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344 { |
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345 octave_idx_type ir = ridx (i); |
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346 octave_idx_type ix = idx_arg.elem (ir); |
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347 Complex tmp = data (i); |
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348 |
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349 if (xisnan (tmp)) |
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350 continue; |
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351 else if (ix == -1 || std::abs(tmp) > std::abs(elem (ir, ix))) |
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352 idx_arg.elem (ir) = j; |
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353 } |
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354 } |
5164 | 355 |
5275 | 356 octave_idx_type nel = 0; |
357 for (octave_idx_type j = 0; j < nr; j++) | |
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358 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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359 nel++; |
5164 | 360 |
361 result = SparseComplexMatrix (nr, 1, nel); | |
362 | |
5275 | 363 octave_idx_type ii = 0; |
5164 | 364 result.xcidx (0) = 0; |
365 result.xcidx (1) = nel; | |
5275 | 366 for (octave_idx_type j = 0; j < nr; j++) |
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367 { |
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368 if (idx_arg(j) == -1) |
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369 { |
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370 idx_arg(j) = 0; |
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371 result.xdata (ii) = Complex_NaN_result; |
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372 result.xridx (ii++) = j; |
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373 } |
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374 else |
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375 { |
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376 Complex tmp = elem (j, idx_arg(j)); |
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377 if (tmp != 0.) |
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378 { |
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379 result.xdata (ii) = tmp; |
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380 result.xridx (ii++) = j; |
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381 } |
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382 } |
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383 } |
5164 | 384 } |
385 | |
386 return result; | |
387 } | |
388 | |
389 SparseComplexMatrix | |
390 SparseComplexMatrix::min (int dim) const | |
391 { | |
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392 Array<octave_idx_type> dummy_idx; |
5164 | 393 return min (dummy_idx, dim); |
394 } | |
395 | |
396 SparseComplexMatrix | |
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397 SparseComplexMatrix::min (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 398 { |
399 SparseComplexMatrix result; | |
400 dim_vector dv = dims (); | |
401 | |
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402 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 403 return result; |
404 | |
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405 if (dim < 0) |
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406 dim = dv.first_non_singleton (); |
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407 |
5275 | 408 octave_idx_type nr = dv(0); |
409 octave_idx_type nc = dv(1); | |
5164 | 410 |
411 if (dim == 0) | |
412 { | |
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413 idx_arg.clear (1, nc); |
5275 | 414 octave_idx_type nel = 0; |
415 for (octave_idx_type j = 0; j < nc; j++) | |
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416 { |
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417 Complex tmp_min; |
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418 double abs_min = octave_NaN; |
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419 octave_idx_type idx_j = 0; |
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420 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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421 { |
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422 if (ridx(i) != idx_j) |
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423 break; |
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424 else |
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425 idx_j++; |
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426 } |
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427 |
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428 if (idx_j != nr) |
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429 { |
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430 tmp_min = 0.; |
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431 abs_min = 0.; |
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432 } |
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433 |
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434 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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435 { |
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436 Complex tmp = data (i); |
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437 |
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438 if (xisnan (tmp)) |
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|
439 continue; |
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|
440 |
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441 double abs_tmp = std::abs (tmp); |
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442 |
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443 if (xisnan (abs_min) || abs_tmp < abs_min) |
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444 { |
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445 idx_j = ridx (i); |
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446 tmp_min = tmp; |
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447 abs_min = abs_tmp; |
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448 } |
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449 } |
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450 |
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451 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_j; |
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452 if (abs_min != 0.) |
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453 nel++; |
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454 } |
5164 | 455 |
456 result = SparseComplexMatrix (1, nc, nel); | |
457 | |
5275 | 458 octave_idx_type ii = 0; |
5164 | 459 result.xcidx (0) = 0; |
5275 | 460 for (octave_idx_type j = 0; j < nc; j++) |
10314
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461 { |
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462 Complex tmp = elem (idx_arg(j), j); |
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|
463 if (tmp != 0.) |
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464 { |
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465 result.xdata (ii) = tmp; |
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466 result.xridx (ii++) = 0; |
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467 } |
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468 result.xcidx (j+1) = ii; |
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469 } |
5164 | 470 } |
471 else | |
472 { | |
10350
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473 idx_arg.resize (nr, 1, 0); |
5164 | 474 |
5275 | 475 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
10314
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476 idx_arg.elem(ridx(i)) = -1; |
5164 | 477 |
5275 | 478 for (octave_idx_type j = 0; j < nc; j++) |
10314
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479 for (octave_idx_type i = 0; i < nr; i++) |
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|
480 { |
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|
481 if (idx_arg.elem(i) != -1) |
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|
482 continue; |
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|
483 bool found = false; |
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484 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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485 if (ridx(k) == i) |
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|
486 { |
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|
487 found = true; |
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|
488 break; |
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|
489 } |
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|
490 |
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|
491 if (!found) |
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|
492 idx_arg.elem(i) = j; |
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|
493 |
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|
494 } |
5164 | 495 |
5275 | 496 for (octave_idx_type j = 0; j < nc; j++) |
10314
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|
497 { |
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|
498 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
499 { |
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|
500 octave_idx_type ir = ridx (i); |
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501 octave_idx_type ix = idx_arg.elem (ir); |
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502 Complex tmp = data (i); |
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503 |
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504 if (xisnan (tmp)) |
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|
505 continue; |
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|
506 else if (ix == -1 || std::abs(tmp) < std::abs(elem (ir, ix))) |
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|
507 idx_arg.elem (ir) = j; |
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|
508 } |
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|
509 } |
5164 | 510 |
5275 | 511 octave_idx_type nel = 0; |
512 for (octave_idx_type j = 0; j < nr; j++) | |
10314
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513 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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|
514 nel++; |
5164 | 515 |
516 result = SparseComplexMatrix (nr, 1, nel); | |
517 | |
5275 | 518 octave_idx_type ii = 0; |
5164 | 519 result.xcidx (0) = 0; |
520 result.xcidx (1) = nel; | |
5275 | 521 for (octave_idx_type j = 0; j < nr; j++) |
10314
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522 { |
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|
523 if (idx_arg(j) == -1) |
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|
524 { |
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|
525 idx_arg(j) = 0; |
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526 result.xdata (ii) = Complex_NaN_result; |
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527 result.xridx (ii++) = j; |
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528 } |
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|
529 else |
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|
530 { |
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changeset
|
531 Complex tmp = elem (j, idx_arg(j)); |
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|
532 if (tmp != 0.) |
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|
533 { |
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|
534 result.xdata (ii) = tmp; |
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535 result.xridx (ii++) = j; |
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|
536 } |
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|
537 } |
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|
538 } |
5164 | 539 } |
540 | |
541 return result; | |
542 } | |
543 | |
8303
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|
544 ComplexRowVector |
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|
545 SparseComplexMatrix::row (octave_idx_type i) const |
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|
546 { |
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|
547 octave_idx_type nc = columns (); |
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|
548 ComplexRowVector retval (nc, 0); |
b11c31849b44
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diff
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|
549 |
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|
550 for (octave_idx_type j = 0; j < nc; j++) |
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551 for (octave_idx_type k = cidx (j); k < cidx (j+1); k++) |
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|
552 { |
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|
553 if (ridx (k) == i) |
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|
554 { |
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|
555 retval(j) = data (k); |
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556 break; |
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|
557 } |
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|
558 } |
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|
559 |
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|
560 return retval; |
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561 } |
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|
562 |
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|
563 ComplexColumnVector |
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|
564 SparseComplexMatrix::column (octave_idx_type i) const |
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diff
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|
565 { |
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diff
changeset
|
566 octave_idx_type nr = rows (); |
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567 ComplexColumnVector retval (nr); |
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568 |
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569 for (octave_idx_type k = cidx (i); k < cidx (i+1); k++) |
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570 retval(ridx (k)) = data (k); |
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571 |
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572 return retval; |
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573 } |
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574 |
5164 | 575 // destructive insert/delete/reorder operations |
576 | |
577 SparseComplexMatrix& | |
5275 | 578 SparseComplexMatrix::insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c) |
5164 | 579 { |
580 SparseComplexMatrix tmp (a); | |
6060 | 581 return insert (tmp /*a*/, r, c); |
5164 | 582 } |
583 | |
584 SparseComplexMatrix& | |
5275 | 585 SparseComplexMatrix::insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
5164 | 586 { |
587 MSparse<Complex>::insert (a, r, c); | |
588 return *this; | |
589 } | |
590 | |
6823 | 591 SparseComplexMatrix& |
592 SparseComplexMatrix::insert (const SparseMatrix& a, const Array<octave_idx_type>& indx) | |
593 { | |
594 SparseComplexMatrix tmp (a); | |
595 return insert (tmp /*a*/, indx); | |
596 } | |
597 | |
598 SparseComplexMatrix& | |
599 SparseComplexMatrix::insert (const SparseComplexMatrix& a, const Array<octave_idx_type>& indx) | |
600 { | |
601 MSparse<Complex>::insert (a, indx); | |
602 return *this; | |
603 } | |
604 | |
5164 | 605 SparseComplexMatrix |
606 SparseComplexMatrix::concat (const SparseComplexMatrix& rb, | |
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607 const Array<octave_idx_type>& ra_idx) |
5164 | 608 { |
609 // Don't use numel to avoid all possiblity of an overflow | |
610 if (rb.rows () > 0 && rb.cols () > 0) | |
611 insert (rb, ra_idx(0), ra_idx(1)); | |
612 return *this; | |
613 } | |
614 | |
615 SparseComplexMatrix | |
5275 | 616 SparseComplexMatrix::concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx) |
5164 | 617 { |
618 SparseComplexMatrix tmp (rb); | |
619 if (rb.rows () > 0 && rb.cols () > 0) | |
620 insert (tmp, ra_idx(0), ra_idx(1)); | |
621 return *this; | |
622 } | |
623 | |
624 ComplexMatrix | |
625 SparseComplexMatrix::matrix_value (void) const | |
626 { | |
10431
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627 return Sparse<Complex>::array_value (); |
5164 | 628 } |
629 | |
630 SparseComplexMatrix | |
631 SparseComplexMatrix::hermitian (void) const | |
632 { | |
5275 | 633 octave_idx_type nr = rows (); |
634 octave_idx_type nc = cols (); | |
5681 | 635 octave_idx_type nz = nnz (); |
5164 | 636 SparseComplexMatrix retval (nc, nr, nz); |
637 | |
5648 | 638 for (octave_idx_type i = 0; i < nz; i++) |
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639 retval.xcidx (ridx (i) + 1)++; |
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640 // retval.xcidx[1:nr] holds the row degrees for rows 0:(nr-1) |
5648 | 641 nz = 0; |
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642 for (octave_idx_type i = 1; i <= nr; i++) |
5164 | 643 { |
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644 const octave_idx_type tmp = retval.xcidx (i); |
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645 retval.xcidx (i) = nz; |
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646 nz += tmp; |
5164 | 647 } |
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648 // retval.xcidx[1:nr] holds row entry *start* offsets for rows 0:(nr-1) |
5648 | 649 |
650 for (octave_idx_type j = 0; j < nc; j++) | |
651 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) | |
652 { | |
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653 octave_idx_type q = retval.xcidx (ridx (k) + 1)++; |
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654 retval.xridx (q) = j; |
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655 retval.xdata (q) = conj (data (k)); |
5648 | 656 } |
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657 assert (nnz () == retval.xcidx (nr)); |
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658 // retval.xcidx[1:nr] holds row entry *end* offsets for rows 0:(nr-1) |
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659 // and retval.xcidx[0:(nr-1)] holds their row entry *start* offsets |
5164 | 660 |
661 return retval; | |
662 } | |
663 | |
664 SparseComplexMatrix | |
665 conj (const SparseComplexMatrix& a) | |
666 { | |
5275 | 667 octave_idx_type nr = a.rows (); |
668 octave_idx_type nc = a.cols (); | |
5681 | 669 octave_idx_type nz = a.nnz (); |
5164 | 670 SparseComplexMatrix retval (nc, nr, nz); |
671 | |
5275 | 672 for (octave_idx_type i = 0; i < nc + 1; i++) |
5164 | 673 retval.cidx (i) = a.cidx (i); |
674 | |
5275 | 675 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 676 { |
677 retval.data (i) = conj (a.data (i)); | |
678 retval.ridx (i) = a.ridx (i); | |
679 } | |
680 | |
681 return retval; | |
682 } | |
683 | |
684 SparseComplexMatrix | |
685 SparseComplexMatrix::inverse (void) const | |
686 { | |
5275 | 687 octave_idx_type info; |
5164 | 688 double rcond; |
5785 | 689 MatrixType mattype (*this); |
5506 | 690 return inverse (mattype, info, rcond, 0, 0); |
691 } | |
692 | |
693 SparseComplexMatrix | |
5785 | 694 SparseComplexMatrix::inverse (MatrixType& mattype) const |
5506 | 695 { |
696 octave_idx_type info; | |
697 double rcond; | |
698 return inverse (mattype, info, rcond, 0, 0); | |
5164 | 699 } |
700 | |
701 SparseComplexMatrix | |
5785 | 702 SparseComplexMatrix::inverse (MatrixType& mattype, octave_idx_type& info) const |
5164 | 703 { |
704 double rcond; | |
5506 | 705 return inverse (mattype, info, rcond, 0, 0); |
706 } | |
707 | |
708 SparseComplexMatrix | |
5785 | 709 SparseComplexMatrix::dinverse (MatrixType &mattyp, octave_idx_type& info, |
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710 double& rcond, const bool, |
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711 const bool calccond) const |
5506 | 712 { |
713 SparseComplexMatrix retval; | |
714 | |
715 octave_idx_type nr = rows (); | |
716 octave_idx_type nc = cols (); | |
717 info = 0; | |
718 | |
719 if (nr == 0 || nc == 0 || nr != nc) | |
720 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
721 else | |
722 { | |
723 // Print spparms("spumoni") info if requested | |
724 int typ = mattyp.type (); | |
725 mattyp.info (); | |
726 | |
5785 | 727 if (typ == MatrixType::Diagonal || |
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728 typ == MatrixType::Permuted_Diagonal) |
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729 { |
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730 if (typ == MatrixType::Permuted_Diagonal) |
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731 retval = transpose(); |
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732 else |
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733 retval = *this; |
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734 |
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735 // Force make_unique to be called |
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736 Complex *v = retval.data(); |
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737 |
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738 if (calccond) |
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739 { |
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740 double dmax = 0., dmin = octave_Inf; |
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741 for (octave_idx_type i = 0; i < nr; i++) |
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742 { |
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743 double tmp = std::abs(v[i]); |
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744 if (tmp > dmax) |
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745 dmax = tmp; |
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746 if (tmp < dmin) |
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747 dmin = tmp; |
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748 } |
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749 rcond = dmin / dmax; |
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750 } |
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751 |
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752 for (octave_idx_type i = 0; i < nr; i++) |
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753 v[i] = 1.0 / v[i]; |
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754 } |
5506 | 755 else |
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756 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 757 } |
758 | |
759 return retval; | |
760 } | |
761 | |
762 SparseComplexMatrix | |
5785 | 763 SparseComplexMatrix::tinverse (MatrixType &mattyp, octave_idx_type& info, |
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764 double& rcond, const bool, |
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765 const bool calccond) const |
5506 | 766 { |
767 SparseComplexMatrix retval; | |
768 | |
769 octave_idx_type nr = rows (); | |
770 octave_idx_type nc = cols (); | |
771 info = 0; | |
772 | |
773 if (nr == 0 || nc == 0 || nr != nc) | |
774 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
775 else | |
776 { | |
777 // Print spparms("spumoni") info if requested | |
778 int typ = mattyp.type (); | |
779 mattyp.info (); | |
780 | |
5785 | 781 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper || |
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782 typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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783 { |
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784 double anorm = 0.; |
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785 double ainvnorm = 0.; |
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786 |
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787 if (calccond) |
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788 { |
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789 // Calculate the 1-norm of matrix for rcond calculation |
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790 for (octave_idx_type j = 0; j < nr; j++) |
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791 { |
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792 double atmp = 0.; |
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793 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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794 atmp += std::abs(data(i)); |
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795 if (atmp > anorm) |
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796 anorm = atmp; |
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797 } |
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798 } |
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799 |
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800 if (typ == MatrixType::Upper || typ == MatrixType::Lower) |
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801 { |
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802 octave_idx_type nz = nnz (); |
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803 octave_idx_type cx = 0; |
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804 octave_idx_type nz2 = nz; |
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805 retval = SparseComplexMatrix (nr, nc, nz2); |
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806 |
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807 for (octave_idx_type i = 0; i < nr; i++) |
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808 { |
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809 octave_quit (); |
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810 // place the 1 in the identity position |
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811 octave_idx_type cx_colstart = cx; |
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812 |
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813 if (cx == nz2) |
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814 { |
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815 nz2 *= 2; |
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816 retval.change_capacity (nz2); |
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817 } |
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818 |
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819 retval.xcidx(i) = cx; |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
820 retval.xridx(cx) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
821 retval.xdata(cx) = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
822 cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
823 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
824 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
825 for (octave_idx_type j = i+1; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
826 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
827 Complex v = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
828 // iterate to calculate sum |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
829 octave_idx_type colXp = retval.xcidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
830 octave_idx_type colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
831 octave_idx_type rpX, rpU; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
832 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
833 if (cidx(j) == cidx(j+1)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
834 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
835 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
836 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
837 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
838 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
839 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
840 do |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
841 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
842 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
843 rpX = retval.xridx(colXp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
844 rpU = ridx(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
845 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
846 if (rpX < rpU) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
847 colXp++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
848 else if (rpX > rpU) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
849 colUp++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
850 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
851 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
852 v -= retval.xdata(colXp) * data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
853 colXp++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
854 colUp++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
855 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
856 } while ((rpX<j) && (rpU<j) && |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
857 (colXp<cx) && (colUp<nz)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
858 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
859 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
860 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
861 if (typ == MatrixType::Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
862 colUp = cidx(j+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
863 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
864 colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
865 Complex pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
866 if (pivot == 0. || ridx(colUp) != j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
867 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
868 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
869 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
870 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
871 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
872 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
873 if (v != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
874 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
875 if (cx == nz2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
876 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
877 nz2 *= 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
878 retval.change_capacity (nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
879 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
880 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
881 retval.xridx(cx) = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
882 retval.xdata(cx) = v / pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
883 cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
884 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
885 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
886 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
887 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
888 octave_idx_type colUp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
889 if (typ == MatrixType::Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
890 colUp = cidx(i+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
891 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
892 colUp = cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
893 Complex pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
894 if (pivot == 0. || ridx(colUp) != i) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
895 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
896 (*current_liboctave_error_handler) ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
897 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
898 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
899 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
900 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
901 for (octave_idx_type j = cx_colstart; j < cx; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
902 retval.xdata(j) /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
903 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
904 retval.xcidx(nr) = cx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
905 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
906 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
907 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
908 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
909 octave_idx_type nz = nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
910 octave_idx_type cx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
911 octave_idx_type nz2 = nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
912 retval = SparseComplexMatrix (nr, nc, nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
913 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
914 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
915 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
916 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
917 octave_idx_type *perm = mattyp.triangular_perm(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
918 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
919 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
920 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
921 rperm[perm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
922 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
923 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
924 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
925 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
926 rperm[i] = perm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
927 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
928 perm[rperm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
929 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
930 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
931 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
932 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
933 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
934 octave_idx_type iidx = rperm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
935 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
936 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
937 work[j] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
938 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
939 // place the 1 in the identity position |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
940 work[iidx] = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
941 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
942 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
943 for (octave_idx_type j = iidx+1; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
944 { |
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10158
diff
changeset
|
945 Complex v = 0.; |
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diff
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|
946 octave_idx_type jidx = perm[j]; |
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diff
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|
947 // iterate to calculate sum |
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diff
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|
948 for (octave_idx_type k = cidx(jidx); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
949 k < cidx(jidx+1); k++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
950 { |
07ebe522dac2
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diff
changeset
|
951 octave_quit (); |
07ebe522dac2
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diff
changeset
|
952 v -= work[ridx(k)] * data(k); |
07ebe522dac2
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parents:
10158
diff
changeset
|
953 } |
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parents:
10158
diff
changeset
|
954 |
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10158
diff
changeset
|
955 // get A(m,m) |
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parents:
10158
diff
changeset
|
956 Complex pivot; |
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10158
diff
changeset
|
957 if (typ == MatrixType::Permuted_Upper) |
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diff
changeset
|
958 pivot = data(cidx(jidx+1) - 1); |
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diff
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|
959 else |
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10158
diff
changeset
|
960 pivot = data(cidx(jidx)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
961 if (pivot == 0.) |
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diff
changeset
|
962 { |
07ebe522dac2
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diff
changeset
|
963 (*current_liboctave_error_handler) |
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10158
diff
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|
964 ("division by zero"); |
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parents:
10158
diff
changeset
|
965 goto inverse_singular; |
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10158
diff
changeset
|
966 } |
07ebe522dac2
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10158
diff
changeset
|
967 |
07ebe522dac2
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diff
changeset
|
968 work[j] = v / pivot; |
07ebe522dac2
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parents:
10158
diff
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|
969 } |
07ebe522dac2
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parents:
10158
diff
changeset
|
970 |
07ebe522dac2
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diff
changeset
|
971 // get A(m,m) |
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diff
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|
972 octave_idx_type colUp; |
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untabify liboctave C++ sources
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diff
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|
973 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
974 colUp = cidx(perm[iidx]+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
975 else |
07ebe522dac2
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10158
diff
changeset
|
976 colUp = cidx(perm[iidx]); |
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untabify liboctave C++ sources
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diff
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|
977 |
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
978 Complex pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
979 if (pivot == 0.) |
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diff
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|
980 { |
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|
981 (*current_liboctave_error_handler) |
07ebe522dac2
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diff
changeset
|
982 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
983 goto inverse_singular; |
07ebe522dac2
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10158
diff
changeset
|
984 } |
07ebe522dac2
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diff
changeset
|
985 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
986 octave_idx_type new_cx = cx; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
987 for (octave_idx_type j = iidx; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
988 if (work[j] != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
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|
989 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
990 new_cx++; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
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|
991 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
992 work[j] /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
993 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
994 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
995 if (cx < new_cx) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
996 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
997 nz2 = (2*nz2 < new_cx ? new_cx : 2*nz2); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
998 retval.change_capacity (nz2); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
999 } |
07ebe522dac2
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10158
diff
changeset
|
1000 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1001 retval.xcidx(i) = cx; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1002 for (octave_idx_type j = iidx; j < nr; j++) |
07ebe522dac2
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diff
changeset
|
1003 if (work[j] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1004 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1005 retval.xridx(cx) = j; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1006 retval.xdata(cx++) = work[j]; |
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1007 } |
07ebe522dac2
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parents:
10158
diff
changeset
|
1008 } |
07ebe522dac2
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10158
diff
changeset
|
1009 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1010 retval.xcidx(nr) = cx; |
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1011 retval.maybe_compress (); |
07ebe522dac2
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parents:
10158
diff
changeset
|
1012 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1013 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1014 if (calccond) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1015 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1016 // Calculate the 1-norm of inverse matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1017 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1018 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1019 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1020 for (octave_idx_type i = retval.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1021 i < retval.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1022 atmp += std::abs(retval.data(i)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1023 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1024 ainvnorm = atmp; |
07ebe522dac2
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parents:
10158
diff
changeset
|
1025 } |
07ebe522dac2
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10158
diff
changeset
|
1026 |
07ebe522dac2
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10158
diff
changeset
|
1027 rcond = 1. / ainvnorm / anorm; |
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parents:
10158
diff
changeset
|
1028 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1029 } |
5506 | 1030 else |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1031 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 1032 } |
1033 | |
1034 return retval; | |
5876 | 1035 |
1036 inverse_singular: | |
1037 return SparseComplexMatrix(); | |
5164 | 1038 } |
1039 | |
1040 SparseComplexMatrix | |
5785 | 1041 SparseComplexMatrix::inverse (MatrixType& mattype, octave_idx_type& info, |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1042 double& rcond, int, int calc_cond) const |
5506 | 1043 { |
1044 int typ = mattype.type (false); | |
1045 SparseComplexMatrix ret; | |
1046 | |
5785 | 1047 if (typ == MatrixType::Unknown) |
5506 | 1048 typ = mattype.type (*this); |
1049 | |
5785 | 1050 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5506 | 1051 ret = dinverse (mattype, info, rcond, true, calc_cond); |
5785 | 1052 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5506 | 1053 ret = tinverse (mattype, info, rcond, true, calc_cond).transpose(); |
5785 | 1054 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
6185 | 1055 { |
1056 MatrixType newtype = mattype.transpose(); | |
1057 ret = transpose().tinverse (newtype, info, rcond, true, calc_cond); | |
1058 } | |
6840 | 1059 else |
5506 | 1060 { |
1061 if (mattype.is_hermitian()) | |
10314
07ebe522dac2
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parents:
10158
diff
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|
1062 { |
07ebe522dac2
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changeset
|
1063 MatrixType tmp_typ (MatrixType::Upper); |
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10158
diff
changeset
|
1064 SparseComplexCHOL fact (*this, info, false); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1065 rcond = fact.rcond(); |
07ebe522dac2
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diff
changeset
|
1066 if (info == 0) |
07ebe522dac2
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10158
diff
changeset
|
1067 { |
07ebe522dac2
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10158
diff
changeset
|
1068 double rcond2; |
07ebe522dac2
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10158
diff
changeset
|
1069 SparseMatrix Q = fact.Q(); |
07ebe522dac2
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diff
changeset
|
1070 SparseComplexMatrix InvL = fact.L().transpose(). |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
1071 tinverse(tmp_typ, info, rcond2, true, false); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1072 ret = Q * InvL.hermitian() * InvL * Q.transpose(); |
07ebe522dac2
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10158
diff
changeset
|
1073 } |
07ebe522dac2
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10158
diff
changeset
|
1074 else |
07ebe522dac2
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10158
diff
changeset
|
1075 { |
07ebe522dac2
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diff
changeset
|
1076 // Matrix is either singular or not positive definite |
07ebe522dac2
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diff
changeset
|
1077 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1078 typ = MatrixType::Full; |
07ebe522dac2
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diff
changeset
|
1079 } |
07ebe522dac2
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diff
changeset
|
1080 } |
5506 | 1081 |
1082 if (!mattype.is_hermitian()) | |
10314
07ebe522dac2
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diff
changeset
|
1083 { |
07ebe522dac2
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diff
changeset
|
1084 octave_idx_type n = rows(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1085 ColumnVector Qinit(n); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1086 for (octave_idx_type i = 0; i < n; i++) |
07ebe522dac2
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diff
changeset
|
1087 Qinit(i) = i; |
07ebe522dac2
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diff
changeset
|
1088 |
07ebe522dac2
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diff
changeset
|
1089 MatrixType tmp_typ (MatrixType::Upper); |
07ebe522dac2
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10158
diff
changeset
|
1090 SparseComplexLU fact (*this, Qinit, Matrix (), false, false); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1091 rcond = fact.rcond(); |
07ebe522dac2
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diff
changeset
|
1092 double rcond2; |
07ebe522dac2
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diff
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1093 SparseComplexMatrix InvL = fact.L().transpose(). |
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1094 tinverse(tmp_typ, info, rcond2, true, false); |
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1095 SparseComplexMatrix InvU = fact.U(). |
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1096 tinverse(tmp_typ, info, rcond2, true, false).transpose(); |
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1097 ret = fact.Pc().transpose() * InvU * InvL * fact.Pr(); |
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1098 } |
5506 | 1099 } |
1100 | |
1101 return ret; | |
5164 | 1102 } |
1103 | |
1104 ComplexDET | |
1105 SparseComplexMatrix::determinant (void) const | |
1106 { | |
5275 | 1107 octave_idx_type info; |
5164 | 1108 double rcond; |
1109 return determinant (info, rcond, 0); | |
1110 } | |
1111 | |
1112 ComplexDET | |
5275 | 1113 SparseComplexMatrix::determinant (octave_idx_type& info) const |
5164 | 1114 { |
1115 double rcond; | |
1116 return determinant (info, rcond, 0); | |
1117 } | |
1118 | |
1119 ComplexDET | |
5610 | 1120 SparseComplexMatrix::determinant (octave_idx_type& err, double& rcond, int) const |
5164 | 1121 { |
1122 ComplexDET retval; | |
5203 | 1123 #ifdef HAVE_UMFPACK |
5164 | 1124 |
5275 | 1125 octave_idx_type nr = rows (); |
1126 octave_idx_type nc = cols (); | |
5164 | 1127 |
1128 if (nr == 0 || nc == 0 || nr != nc) | |
1129 { | |
8335 | 1130 retval = ComplexDET (1.0); |
5164 | 1131 } |
1132 else | |
1133 { | |
1134 err = 0; | |
1135 | |
1136 // Setup the control parameters | |
1137 Matrix Control (UMFPACK_CONTROL, 1); | |
1138 double *control = Control.fortran_vec (); | |
5322 | 1139 UMFPACK_ZNAME (defaults) (control); |
5164 | 1140 |
5893 | 1141 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 1142 if (!xisnan (tmp)) |
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1143 Control (UMFPACK_PRL) = tmp; |
5164 | 1144 |
5893 | 1145 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 1146 if (!xisnan (tmp)) |
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1147 { |
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1148 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; |
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1149 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; |
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1150 } |
5164 | 1151 |
1152 // Set whether we are allowed to modify Q or not | |
5893 | 1153 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 1154 if (!xisnan (tmp)) |
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1155 Control (UMFPACK_FIXQ) = tmp; |
5164 | 1156 |
1157 // Turn-off UMFPACK scaling for LU | |
1158 Control (UMFPACK_SCALE) = UMFPACK_SCALE_NONE; | |
1159 | |
5322 | 1160 UMFPACK_ZNAME (report_control) (control); |
5164 | 1161 |
5275 | 1162 const octave_idx_type *Ap = cidx (); |
1163 const octave_idx_type *Ai = ridx (); | |
5164 | 1164 const Complex *Ax = data (); |
1165 | |
5322 | 1166 UMFPACK_ZNAME (report_matrix) (nr, nc, Ap, Ai, |
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1167 reinterpret_cast<const double *> (Ax), |
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1168 0, 1, control); |
5164 | 1169 |
1170 void *Symbolic; | |
1171 Matrix Info (1, UMFPACK_INFO); | |
1172 double *info = Info.fortran_vec (); | |
5322 | 1173 int status = UMFPACK_ZNAME (qsymbolic) |
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1174 (nr, nc, Ap, Ai, reinterpret_cast<const double *> (Ax), 0, |
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1175 0, &Symbolic, control, info); |
5164 | 1176 |
1177 if (status < 0) | |
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1178 { |
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1179 (*current_liboctave_error_handler) |
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1180 ("SparseComplexMatrix::determinant symbolic factorization failed"); |
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1181 |
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1182 UMFPACK_ZNAME (report_status) (control, status); |
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1183 UMFPACK_ZNAME (report_info) (control, info); |
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1184 |
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1185 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
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1186 } |
5164 | 1187 else |
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1188 { |
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1189 UMFPACK_ZNAME (report_symbolic) (Symbolic, control); |
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1190 |
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1191 void *Numeric; |
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1192 status |
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1193 = UMFPACK_ZNAME (numeric) (Ap, Ai, |
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1194 reinterpret_cast<const double *> (Ax), |
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1195 0, Symbolic, &Numeric, control, info) ; |
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1196 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
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1197 |
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1198 rcond = Info (UMFPACK_RCOND); |
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1199 |
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1200 if (status < 0) |
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1201 { |
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1202 (*current_liboctave_error_handler) |
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1203 ("SparseComplexMatrix::determinant numeric factorization failed"); |
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1204 |
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1205 UMFPACK_ZNAME (report_status) (control, status); |
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1206 UMFPACK_ZNAME (report_info) (control, info); |
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1207 |
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1208 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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1209 } |
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1210 else |
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1211 { |
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1212 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
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1213 |
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1214 double c10[2], e10; |
8335 | 1215 |
1216 status = UMFPACK_ZNAME (get_determinant) (c10, 0, &e10, | |
1217 Numeric, info); | |
5164 | 1218 |
10314
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1219 if (status < 0) |
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1220 { |
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1221 (*current_liboctave_error_handler) |
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1222 ("SparseComplexMatrix::determinant error calculating determinant"); |
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1223 |
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1224 UMFPACK_ZNAME (report_status) (control, status); |
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1225 UMFPACK_ZNAME (report_info) (control, info); |
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1226 } |
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1227 else |
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1228 retval = ComplexDET (Complex (c10[0], c10[1]), e10, 10); |
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1229 |
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1230 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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1231 } |
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1232 } |
5164 | 1233 } |
5203 | 1234 #else |
1235 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
1236 #endif | |
5164 | 1237 |
1238 return retval; | |
1239 } | |
1240 | |
1241 ComplexMatrix | |
5785 | 1242 SparseComplexMatrix::dsolve (MatrixType &mattype, const Matrix& b, |
10314
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1243 octave_idx_type& err, double& rcond, |
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1244 solve_singularity_handler, bool calc_cond) const |
5164 | 1245 { |
1246 ComplexMatrix retval; | |
1247 | |
5275 | 1248 octave_idx_type nr = rows (); |
1249 octave_idx_type nc = cols (); | |
5630 | 1250 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1251 err = 0; |
1252 | |
6924 | 1253 if (nr != b.rows ()) |
5164 | 1254 (*current_liboctave_error_handler) |
1255 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1256 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1257 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 1258 else |
1259 { | |
1260 // Print spparms("spumoni") info if requested | |
1261 int typ = mattype.type (); | |
1262 mattype.info (); | |
1263 | |
5785 | 1264 if (typ == MatrixType::Diagonal || |
10314
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1265 typ == MatrixType::Permuted_Diagonal) |
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1266 { |
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1267 retval.resize (nc, b.cols(), Complex(0.,0.)); |
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1268 if (typ == MatrixType::Diagonal) |
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1269 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1270 for (octave_idx_type i = 0; i < nm; i++) |
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1271 retval(i,j) = b(i,j) / data (i); |
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1272 else |
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1273 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1274 for (octave_idx_type k = 0; k < nc; k++) |
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1275 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1276 retval(k,j) = b(ridx(i),j) / data (i); |
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1277 |
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1278 if (calc_cond) |
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1279 { |
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1280 double dmax = 0., dmin = octave_Inf; |
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1281 for (octave_idx_type i = 0; i < nm; i++) |
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1282 { |
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1283 double tmp = std::abs(data(i)); |
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1284 if (tmp > dmax) |
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1285 dmax = tmp; |
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1286 if (tmp < dmin) |
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1287 dmin = tmp; |
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1288 } |
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1289 rcond = dmin / dmax; |
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1290 } |
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1291 else |
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1292 rcond = 1.0; |
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1293 } |
5164 | 1294 else |
10314
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1295 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1296 } |
1297 | |
1298 return retval; | |
1299 } | |
1300 | |
1301 SparseComplexMatrix | |
5785 | 1302 SparseComplexMatrix::dsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1303 octave_idx_type& err, double& rcond, |
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1304 solve_singularity_handler, |
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1305 bool calc_cond) const |
5164 | 1306 { |
1307 SparseComplexMatrix retval; | |
1308 | |
5275 | 1309 octave_idx_type nr = rows (); |
1310 octave_idx_type nc = cols (); | |
5630 | 1311 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1312 err = 0; |
1313 | |
6924 | 1314 if (nr != b.rows ()) |
5164 | 1315 (*current_liboctave_error_handler) |
1316 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1317 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1318 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 1319 else |
1320 { | |
1321 // Print spparms("spumoni") info if requested | |
1322 int typ = mattype.type (); | |
1323 mattype.info (); | |
1324 | |
5785 | 1325 if (typ == MatrixType::Diagonal || |
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1326 typ == MatrixType::Permuted_Diagonal) |
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1327 { |
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1328 octave_idx_type b_nc = b.cols (); |
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1329 octave_idx_type b_nz = b.nnz (); |
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1330 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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1331 |
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1332 retval.xcidx(0) = 0; |
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1333 octave_idx_type ii = 0; |
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1334 if (typ == MatrixType::Diagonal) |
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1335 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1336 { |
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1337 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1338 { |
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1339 if (b.ridx(i) >= nm) |
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1340 break; |
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1341 retval.xridx (ii) = b.ridx(i); |
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1342 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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1343 } |
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1344 retval.xcidx(j+1) = ii; |
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1345 } |
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1346 else |
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1347 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1348 { |
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1349 for (octave_idx_type l = 0; l < nc; l++) |
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1350 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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1351 { |
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1352 bool found = false; |
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1353 octave_idx_type k; |
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1354 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1355 if (ridx(i) == b.ridx(k)) |
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1356 { |
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1357 found = true; |
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1358 break; |
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1359 } |
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1360 if (found) |
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1361 { |
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1362 retval.xridx (ii) = l; |
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1363 retval.xdata (ii++) = b.data(k) / data (i); |
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1364 } |
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1365 } |
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1366 retval.xcidx(j+1) = ii; |
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1367 } |
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1368 |
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1369 if (calc_cond) |
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1370 { |
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1371 double dmax = 0., dmin = octave_Inf; |
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1372 for (octave_idx_type i = 0; i < nm; i++) |
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1373 { |
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1374 double tmp = std::abs(data(i)); |
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1375 if (tmp > dmax) |
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1376 dmax = tmp; |
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1377 if (tmp < dmin) |
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1378 dmin = tmp; |
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1379 } |
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1380 rcond = dmin / dmax; |
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1381 } |
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1382 else |
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1383 rcond = 1.0; |
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1384 } |
5164 | 1385 else |
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1386 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1387 } |
1388 | |
1389 return retval; | |
1390 } | |
1391 | |
1392 ComplexMatrix | |
5785 | 1393 SparseComplexMatrix::dsolve (MatrixType &mattype, const ComplexMatrix& b, |
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1394 octave_idx_type& err, double& rcond, |
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1395 solve_singularity_handler, |
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1396 bool calc_cond) const |
5164 | 1397 { |
1398 ComplexMatrix retval; | |
1399 | |
5275 | 1400 octave_idx_type nr = rows (); |
1401 octave_idx_type nc = cols (); | |
5630 | 1402 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1403 err = 0; |
1404 | |
6924 | 1405 if (nr != b.rows ()) |
5164 | 1406 (*current_liboctave_error_handler) |
1407 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1408 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1409 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 1410 else |
1411 { | |
1412 // Print spparms("spumoni") info if requested | |
1413 int typ = mattype.type (); | |
1414 mattype.info (); | |
1415 | |
5785 | 1416 if (typ == MatrixType::Diagonal || |
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1417 typ == MatrixType::Permuted_Diagonal) |
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1418 { |
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1419 retval.resize (nc, b.cols(), Complex(0.,0.)); |
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1420 if (typ == MatrixType::Diagonal) |
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1421 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1422 for (octave_idx_type i = 0; i < nm; i++) |
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1423 retval(i,j) = b(i,j) / data (i); |
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1424 else |
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1425 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1426 for (octave_idx_type k = 0; k < nc; k++) |
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1427 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1428 retval(k,j) = b(ridx(i),j) / data (i); |
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1429 |
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1430 if (calc_cond) |
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1431 { |
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1432 double dmax = 0., dmin = octave_Inf; |
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1433 for (octave_idx_type i = 0; i < nr; i++) |
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1434 { |
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1435 double tmp = std::abs(data(i)); |
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1436 if (tmp > dmax) |
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1437 dmax = tmp; |
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1438 if (tmp < dmin) |
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1439 dmin = tmp; |
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1440 } |
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1441 rcond = dmin / dmax; |
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1442 } |
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1443 else |
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1444 rcond = 1.0; |
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1445 } |
5164 | 1446 else |
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1447 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1448 } |
1449 | |
1450 return retval; | |
1451 } | |
1452 | |
1453 SparseComplexMatrix | |
5785 | 1454 SparseComplexMatrix::dsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
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1455 octave_idx_type& err, double& rcond, |
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1456 solve_singularity_handler, |
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1457 bool calc_cond) const |
5164 | 1458 { |
1459 SparseComplexMatrix retval; | |
1460 | |
5275 | 1461 octave_idx_type nr = rows (); |
1462 octave_idx_type nc = cols (); | |
5630 | 1463 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1464 err = 0; |
1465 | |
6924 | 1466 if (nr != b.rows ()) |
5164 | 1467 (*current_liboctave_error_handler) |
1468 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1469 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1470 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 1471 else |
1472 { | |
1473 // Print spparms("spumoni") info if requested | |
1474 int typ = mattype.type (); | |
1475 mattype.info (); | |
1476 | |
5785 | 1477 if (typ == MatrixType::Diagonal || |
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1478 typ == MatrixType::Permuted_Diagonal) |
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1479 { |
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1480 octave_idx_type b_nc = b.cols (); |
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1481 octave_idx_type b_nz = b.nnz (); |
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|
1482 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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untabify liboctave C++ sources
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|
1483 |
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|
1484 retval.xcidx(0) = 0; |
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untabify liboctave C++ sources
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diff
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|
1485 octave_idx_type ii = 0; |
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untabify liboctave C++ sources
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|
1486 if (typ == MatrixType::Diagonal) |
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untabify liboctave C++ sources
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|
1487 for (octave_idx_type j = 0; j < b.cols(); j++) |
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untabify liboctave C++ sources
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|
1488 { |
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untabify liboctave C++ sources
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diff
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|
1489 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
1490 { |
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|
1491 if (b.ridx(i) >= nm) |
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untabify liboctave C++ sources
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|
1492 break; |
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diff
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|
1493 retval.xridx (ii) = b.ridx(i); |
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untabify liboctave C++ sources
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|
1494 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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untabify liboctave C++ sources
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|
1495 } |
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untabify liboctave C++ sources
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|
1496 retval.xcidx(j+1) = ii; |
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untabify liboctave C++ sources
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diff
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|
1497 } |
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untabify liboctave C++ sources
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diff
changeset
|
1498 else |
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untabify liboctave C++ sources
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|
1499 for (octave_idx_type j = 0; j < b.cols(); j++) |
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untabify liboctave C++ sources
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|
1500 { |
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untabify liboctave C++ sources
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|
1501 for (octave_idx_type l = 0; l < nc; l++) |
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untabify liboctave C++ sources
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|
1502 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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untabify liboctave C++ sources
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diff
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|
1503 { |
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untabify liboctave C++ sources
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diff
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|
1504 bool found = false; |
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untabify liboctave C++ sources
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|
1505 octave_idx_type k; |
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untabify liboctave C++ sources
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|
1506 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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untabify liboctave C++ sources
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|
1507 if (ridx(i) == b.ridx(k)) |
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untabify liboctave C++ sources
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diff
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|
1508 { |
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diff
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|
1509 found = true; |
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untabify liboctave C++ sources
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diff
changeset
|
1510 break; |
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diff
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|
1511 } |
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untabify liboctave C++ sources
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diff
changeset
|
1512 if (found) |
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untabify liboctave C++ sources
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diff
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|
1513 { |
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untabify liboctave C++ sources
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diff
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|
1514 retval.xridx (ii) = l; |
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untabify liboctave C++ sources
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|
1515 retval.xdata (ii++) = b.data(k) / data (i); |
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untabify liboctave C++ sources
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|
1516 } |
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changeset
|
1517 } |
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untabify liboctave C++ sources
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|
1518 retval.xcidx(j+1) = ii; |
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untabify liboctave C++ sources
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diff
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|
1519 } |
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diff
changeset
|
1520 |
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|
1521 if (calc_cond) |
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untabify liboctave C++ sources
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diff
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|
1522 { |
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|
1523 double dmax = 0., dmin = octave_Inf; |
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untabify liboctave C++ sources
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diff
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|
1524 for (octave_idx_type i = 0; i < nm; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
1525 { |
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|
1526 double tmp = std::abs(data(i)); |
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untabify liboctave C++ sources
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diff
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|
1527 if (tmp > dmax) |
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diff
changeset
|
1528 dmax = tmp; |
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|
1529 if (tmp < dmin) |
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diff
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|
1530 dmin = tmp; |
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untabify liboctave C++ sources
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diff
changeset
|
1531 } |
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untabify liboctave C++ sources
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diff
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|
1532 rcond = dmin / dmax; |
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untabify liboctave C++ sources
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diff
changeset
|
1533 } |
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diff
changeset
|
1534 else |
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|
1535 rcond = 1.0; |
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untabify liboctave C++ sources
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diff
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|
1536 } |
5164 | 1537 else |
10314
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diff
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|
1538 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1539 } |
1540 | |
1541 return retval; | |
1542 } | |
1543 | |
1544 ComplexMatrix | |
5785 | 1545 SparseComplexMatrix::utsolve (MatrixType &mattype, const Matrix& b, |
10314
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untabify liboctave C++ sources
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diff
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|
1546 octave_idx_type& err, double& rcond, |
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untabify liboctave C++ sources
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diff
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|
1547 solve_singularity_handler sing_handler, |
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untabify liboctave C++ sources
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diff
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|
1548 bool calc_cond) const |
5164 | 1549 { |
1550 ComplexMatrix retval; | |
1551 | |
5275 | 1552 octave_idx_type nr = rows (); |
1553 octave_idx_type nc = cols (); | |
5630 | 1554 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1555 err = 0; |
1556 | |
6924 | 1557 if (nr != b.rows ()) |
5164 | 1558 (*current_liboctave_error_handler) |
1559 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1560 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1561 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 1562 else |
1563 { | |
1564 // Print spparms("spumoni") info if requested | |
1565 int typ = mattype.type (); | |
1566 mattype.info (); | |
1567 | |
5785 | 1568 if (typ == MatrixType::Permuted_Upper || |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
1569 typ == MatrixType::Upper) |
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diff
changeset
|
1570 { |
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|
1571 double anorm = 0.; |
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untabify liboctave C++ sources
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diff
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|
1572 double ainvnorm = 0.; |
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diff
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|
1573 octave_idx_type b_nc = b.cols (); |
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diff
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|
1574 rcond = 1.; |
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|
1575 |
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|
1576 if (calc_cond) |
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diff
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|
1577 { |
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|
1578 // Calculate the 1-norm of matrix for rcond calculation |
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untabify liboctave C++ sources
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changeset
|
1579 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
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diff
changeset
|
1580 { |
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changeset
|
1581 double atmp = 0.; |
07ebe522dac2
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changeset
|
1582 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
1583 atmp += std::abs(data(i)); |
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untabify liboctave C++ sources
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|
1584 if (atmp > anorm) |
07ebe522dac2
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diff
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|
1585 anorm = atmp; |
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diff
changeset
|
1586 } |
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diff
changeset
|
1587 } |
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changeset
|
1588 |
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|
1589 if (typ == MatrixType::Permuted_Upper) |
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diff
changeset
|
1590 { |
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|
1591 retval.resize (nc, b_nc); |
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untabify liboctave C++ sources
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|
1592 octave_idx_type *perm = mattype.triangular_perm (); |
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untabify liboctave C++ sources
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|
1593 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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changeset
|
1594 |
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changeset
|
1595 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
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changeset
|
1596 { |
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changeset
|
1597 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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|
1598 work[i] = b(i,j); |
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untabify liboctave C++ sources
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changeset
|
1599 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
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|
1600 work[i] = 0.; |
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|
1601 |
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|
1602 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
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|
1603 { |
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changeset
|
1604 octave_idx_type kidx = perm[k]; |
07ebe522dac2
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|
1605 |
07ebe522dac2
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|
1606 if (work[k] != 0.) |
07ebe522dac2
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changeset
|
1607 { |
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changeset
|
1608 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
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diff
changeset
|
1609 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1610 { |
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changeset
|
1611 err = -2; |
07ebe522dac2
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changeset
|
1612 goto triangular_error; |
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changeset
|
1613 } |
07ebe522dac2
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changeset
|
1614 |
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changeset
|
1615 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
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changeset
|
1616 work[k] = tmp; |
07ebe522dac2
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changeset
|
1617 for (octave_idx_type i = cidx(kidx); |
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diff
changeset
|
1618 i < cidx(kidx+1)-1; i++) |
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changeset
|
1619 { |
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changeset
|
1620 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1621 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
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changeset
|
1622 } |
07ebe522dac2
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changeset
|
1623 } |
07ebe522dac2
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changeset
|
1624 } |
07ebe522dac2
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changeset
|
1625 |
07ebe522dac2
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changeset
|
1626 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1627 retval (perm[i], j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1628 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1629 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1630 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1631 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1632 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1633 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1634 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1635 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1636 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1637 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1638 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1639 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1640 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1641 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1642 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1643 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1644 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1645 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1646 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1647 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1648 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1649 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1650 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1651 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1652 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1653 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1654 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1655 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1656 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1657 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1658 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1659 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1660 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1661 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1662 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1663 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1664 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1665 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1666 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1667 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1668 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1669 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1670 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1671 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1672 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1673 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1674 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1675 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1676 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1677 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1678 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1679 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1680 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1681 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1682 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1683 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1684 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1685 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1686 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1687 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1688 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1689 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1690 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1691 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1692 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1693 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1694 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1695 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1696 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1697 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1698 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1699 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1700 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1701 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1702 retval.xelem (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1703 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1704 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1705 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1706 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1707 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1708 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1709 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1710 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1711 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1712 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1713 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1714 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1715 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1716 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1717 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1718 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1719 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1720 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1721 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1722 i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1723 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1724 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1725 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1726 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1727 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1728 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1729 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1730 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1731 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1732 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1733 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1734 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1735 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1736 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1737 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1738 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1739 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1740 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1741 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1742 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1743 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1744 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1745 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1746 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1747 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1748 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1749 } |
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1750 else |
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1751 (*current_liboctave_error_handler) |
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1752 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
1753 rcond); |
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|
1754 } |
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|
1755 |
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1756 volatile double rcond_plus_one = rcond + 1.0; |
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1757 |
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1758 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
1759 { |
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|
1760 err = -2; |
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|
1761 |
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1762 if (sing_handler) |
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|
1763 { |
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|
1764 sing_handler (rcond); |
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1765 mattype.mark_as_rectangular (); |
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1766 } |
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|
1767 else |
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|
1768 (*current_liboctave_error_handler) |
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1769 ("matrix singular to machine precision, rcond = %g", |
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1770 rcond); |
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|
1771 } |
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1772 } |
5164 | 1773 else |
10314
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1774 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1775 } |
1776 | |
1777 return retval; | |
1778 } | |
1779 | |
1780 SparseComplexMatrix | |
5785 | 1781 SparseComplexMatrix::utsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1782 octave_idx_type& err, double& rcond, |
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1783 solve_singularity_handler sing_handler, |
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1784 bool calc_cond) const |
5164 | 1785 { |
1786 SparseComplexMatrix retval; | |
1787 | |
5275 | 1788 octave_idx_type nr = rows (); |
1789 octave_idx_type nc = cols (); | |
5630 | 1790 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1791 err = 0; |
1792 | |
6924 | 1793 if (nr != b.rows ()) |
5164 | 1794 (*current_liboctave_error_handler) |
1795 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1796 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1797 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 1798 else |
1799 { | |
1800 // Print spparms("spumoni") info if requested | |
1801 int typ = mattype.type (); | |
1802 mattype.info (); | |
1803 | |
5785 | 1804 if (typ == MatrixType::Permuted_Upper || |
10314
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1805 typ == MatrixType::Upper) |
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1806 { |
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1807 double anorm = 0.; |
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1808 double ainvnorm = 0.; |
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1809 rcond = 1.; |
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1810 |
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1811 if (calc_cond) |
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1812 { |
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1813 // Calculate the 1-norm of matrix for rcond calculation |
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1814 for (octave_idx_type j = 0; j < nc; j++) |
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1815 { |
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1816 double atmp = 0.; |
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1817 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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1818 atmp += std::abs(data(i)); |
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1819 if (atmp > anorm) |
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1820 anorm = atmp; |
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1821 } |
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1822 } |
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1823 |
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1824 octave_idx_type b_nc = b.cols (); |
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1825 octave_idx_type b_nz = b.nnz (); |
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1826 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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1827 retval.xcidx(0) = 0; |
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1828 octave_idx_type ii = 0; |
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1829 octave_idx_type x_nz = b_nz; |
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1830 |
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1831 if (typ == MatrixType::Permuted_Upper) |
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1832 { |
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1833 octave_idx_type *perm = mattype.triangular_perm (); |
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1834 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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1835 |
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1836 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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1837 for (octave_idx_type i = 0; i < nc; i++) |
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1838 rperm[perm[i]] = i; |
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1839 |
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1840 for (octave_idx_type j = 0; j < b_nc; j++) |
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1841 { |
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1842 for (octave_idx_type i = 0; i < nm; i++) |
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1843 work[i] = 0.; |
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1844 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1845 work[b.ridx(i)] = b.data(i); |
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1846 |
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1847 for (octave_idx_type k = nc-1; k >= 0; k--) |
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1848 { |
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1849 octave_idx_type kidx = perm[k]; |
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1850 |
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1851 if (work[k] != 0.) |
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1852 { |
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1853 if (ridx(cidx(kidx+1)-1) != k || |
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1854 data(cidx(kidx+1)-1) == 0.) |
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1855 { |
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1856 err = -2; |
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1857 goto triangular_error; |
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1858 } |
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1859 |
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1860 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
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1861 work[k] = tmp; |
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1862 for (octave_idx_type i = cidx(kidx); |
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1863 i < cidx(kidx+1)-1; i++) |
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1864 { |
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1865 octave_idx_type iidx = ridx(i); |
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1866 work[iidx] = work[iidx] - tmp * data(i); |
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1867 } |
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1868 } |
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1869 } |
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1870 |
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1871 // Count non-zeros in work vector and adjust space in |
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1872 // retval if needed |
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1873 octave_idx_type new_nnz = 0; |
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1874 for (octave_idx_type i = 0; i < nc; i++) |
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1875 if (work[i] != 0.) |
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|
1876 new_nnz++; |
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1877 |
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1878 if (ii + new_nnz > x_nz) |
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1879 { |
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1880 // Resize the sparse matrix |
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1881 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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1882 retval.change_capacity (sz); |
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1883 x_nz = sz; |
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1884 } |
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1885 |
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1886 for (octave_idx_type i = 0; i < nc; i++) |
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1887 if (work[rperm[i]] != 0.) |
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1888 { |
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1889 retval.xridx(ii) = i; |
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1890 retval.xdata(ii++) = work[rperm[i]]; |
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1891 } |
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1892 retval.xcidx(j+1) = ii; |
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1893 } |
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1894 |
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1895 retval.maybe_compress (); |
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1896 |
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1897 if (calc_cond) |
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1898 { |
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1899 // Calculation of 1-norm of inv(*this) |
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1900 for (octave_idx_type i = 0; i < nm; i++) |
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1901 work[i] = 0.; |
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1902 |
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1903 for (octave_idx_type j = 0; j < nr; j++) |
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|
1904 { |
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1905 work[j] = 1.; |
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1906 |
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1907 for (octave_idx_type k = j; k >= 0; k--) |
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1908 { |
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1909 octave_idx_type iidx = perm[k]; |
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1910 |
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1911 if (work[k] != 0.) |
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|
1912 { |
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1913 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
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1914 work[k] = tmp; |
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1915 for (octave_idx_type i = cidx(iidx); |
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1916 i < cidx(iidx+1)-1; i++) |
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1917 { |
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1918 octave_idx_type idx2 = ridx(i); |
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1919 work[idx2] = work[idx2] - tmp * data(i); |
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1920 } |
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|
1921 } |
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|
1922 } |
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1923 double atmp = 0; |
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1924 for (octave_idx_type i = 0; i < j+1; i++) |
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|
1925 { |
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1926 atmp += std::abs(work[i]); |
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1927 work[i] = 0.; |
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|
1928 } |
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|
1929 if (atmp > ainvnorm) |
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1930 ainvnorm = atmp; |
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1931 } |
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1932 rcond = 1. / ainvnorm / anorm; |
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1933 } |
07ebe522dac2
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|
1934 } |
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|
1935 else |
07ebe522dac2
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|
1936 { |
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1937 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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1938 |
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1939 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
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|
1940 { |
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|
1941 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
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1942 work[i] = 0.; |
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1943 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1944 work[b.ridx(i)] = b.data(i); |
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|
1945 |
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|
1946 for (octave_idx_type k = nc-1; k >= 0; k--) |
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|
1947 { |
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|
1948 if (work[k] != 0.) |
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|
1949 { |
07ebe522dac2
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|
1950 if (ridx(cidx(k+1)-1) != k || |
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|
1951 data(cidx(k+1)-1) == 0.) |
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|
1952 { |
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|
1953 err = -2; |
07ebe522dac2
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|
1954 goto triangular_error; |
07ebe522dac2
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changeset
|
1955 } |
07ebe522dac2
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|
1956 |
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1957 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
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|
1958 work[k] = tmp; |
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|
1959 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
07ebe522dac2
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changeset
|
1960 { |
07ebe522dac2
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changeset
|
1961 octave_idx_type iidx = ridx(i); |
07ebe522dac2
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|
1962 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
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changeset
|
1963 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1964 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1965 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1966 |
07ebe522dac2
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changeset
|
1967 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
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changeset
|
1968 // retval if needed |
07ebe522dac2
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changeset
|
1969 octave_idx_type new_nnz = 0; |
07ebe522dac2
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|
1970 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
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parents:
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changeset
|
1971 if (work[i] != 0.) |
07ebe522dac2
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diff
changeset
|
1972 new_nnz++; |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1973 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1974 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1975 { |
07ebe522dac2
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parents:
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diff
changeset
|
1976 // Resize the sparse matrix |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1977 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1978 retval.change_capacity (sz); |
07ebe522dac2
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diff
changeset
|
1979 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1980 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1981 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1982 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1983 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1984 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1985 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1986 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1987 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1988 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1989 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1990 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1991 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1992 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1993 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1994 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1995 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1996 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1997 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1998 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1999 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2000 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2001 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2002 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2003 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2004 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2005 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2006 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2007 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2008 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2009 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2010 i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2011 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2012 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2013 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2014 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2015 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2016 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
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|
2017 double atmp = 0; |
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2018 for (octave_idx_type i = 0; i < j+1; i++) |
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|
2019 { |
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2020 atmp += std::abs(work[i]); |
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2021 work[i] = 0.; |
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|
2022 } |
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2023 if (atmp > ainvnorm) |
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2024 ainvnorm = atmp; |
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|
2025 } |
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2026 rcond = 1. / ainvnorm / anorm; |
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2027 } |
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|
2028 } |
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|
2029 |
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2030 triangular_error: |
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2031 if (err != 0) |
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2032 { |
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2033 if (sing_handler) |
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2034 { |
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2035 sing_handler (rcond); |
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2036 mattype.mark_as_rectangular (); |
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|
2037 } |
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|
2038 else |
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2039 (*current_liboctave_error_handler) |
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2040 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
2041 rcond); |
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|
2042 } |
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|
2043 |
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2044 volatile double rcond_plus_one = rcond + 1.0; |
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2045 |
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2046 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
2047 { |
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2048 err = -2; |
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|
2049 |
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2050 if (sing_handler) |
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2051 { |
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2052 sing_handler (rcond); |
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2053 mattype.mark_as_rectangular (); |
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|
2054 } |
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|
2055 else |
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2056 (*current_liboctave_error_handler) |
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|
2057 ("matrix singular to machine precision, rcond = %g", |
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|
2058 rcond); |
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|
2059 } |
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2060 } |
5164 | 2061 else |
10314
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|
2062 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2063 } |
2064 return retval; | |
2065 } | |
2066 | |
2067 ComplexMatrix | |
5785 | 2068 SparseComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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2069 octave_idx_type& err, double& rcond, |
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2070 solve_singularity_handler sing_handler, |
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2071 bool calc_cond) const |
5164 | 2072 { |
2073 ComplexMatrix retval; | |
2074 | |
5275 | 2075 octave_idx_type nr = rows (); |
2076 octave_idx_type nc = cols (); | |
5630 | 2077 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2078 err = 0; |
2079 | |
6924 | 2080 if (nr != b.rows ()) |
5164 | 2081 (*current_liboctave_error_handler) |
2082 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2083 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2084 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 2085 else |
2086 { | |
2087 // Print spparms("spumoni") info if requested | |
2088 int typ = mattype.type (); | |
2089 mattype.info (); | |
2090 | |
5785 | 2091 if (typ == MatrixType::Permuted_Upper || |
10314
07ebe522dac2
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2092 typ == MatrixType::Upper) |
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|
2093 { |
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2094 double anorm = 0.; |
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|
2095 double ainvnorm = 0.; |
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|
2096 octave_idx_type b_nc = b.cols (); |
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|
2097 rcond = 1.; |
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|
2098 |
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|
2099 if (calc_cond) |
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|
2100 { |
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|
2101 // Calculate the 1-norm of matrix for rcond calculation |
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untabify liboctave C++ sources
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|
2102 for (octave_idx_type j = 0; j < nc; j++) |
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untabify liboctave C++ sources
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|
2103 { |
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|
2104 double atmp = 0.; |
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|
2105 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
2106 atmp += std::abs(data(i)); |
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untabify liboctave C++ sources
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|
2107 if (atmp > anorm) |
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untabify liboctave C++ sources
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diff
changeset
|
2108 anorm = atmp; |
07ebe522dac2
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|
2109 } |
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|
2110 } |
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|
2111 |
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|
2112 if (typ == MatrixType::Permuted_Upper) |
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|
2113 { |
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|
2114 retval.resize (nc, b_nc); |
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untabify liboctave C++ sources
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|
2115 octave_idx_type *perm = mattype.triangular_perm (); |
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untabify liboctave C++ sources
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|
2116 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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|
2117 |
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|
2118 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
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|
2119 { |
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|
2120 for (octave_idx_type i = 0; i < nr; i++) |
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untabify liboctave C++ sources
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|
2121 work[i] = b(i,j); |
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|
2122 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
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|
2123 work[i] = 0.; |
07ebe522dac2
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|
2124 |
07ebe522dac2
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|
2125 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
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diff
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|
2126 { |
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changeset
|
2127 octave_idx_type kidx = perm[k]; |
07ebe522dac2
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|
2128 |
07ebe522dac2
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diff
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|
2129 if (work[k] != 0.) |
07ebe522dac2
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diff
changeset
|
2130 { |
07ebe522dac2
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diff
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|
2131 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
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|
2132 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
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diff
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|
2133 { |
07ebe522dac2
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diff
changeset
|
2134 err = -2; |
07ebe522dac2
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diff
changeset
|
2135 goto triangular_error; |
07ebe522dac2
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10158
diff
changeset
|
2136 } |
07ebe522dac2
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changeset
|
2137 |
07ebe522dac2
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|
2138 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
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|
2139 work[k] = tmp; |
07ebe522dac2
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diff
changeset
|
2140 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
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changeset
|
2141 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
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diff
changeset
|
2142 { |
07ebe522dac2
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diff
changeset
|
2143 octave_idx_type iidx = ridx(i); |
07ebe522dac2
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|
2144 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
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changeset
|
2145 } |
07ebe522dac2
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diff
changeset
|
2146 } |
07ebe522dac2
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diff
changeset
|
2147 } |
07ebe522dac2
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changeset
|
2148 |
07ebe522dac2
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diff
changeset
|
2149 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
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changeset
|
2150 retval (perm[i], j) = work[i]; |
07ebe522dac2
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10158
diff
changeset
|
2151 } |
07ebe522dac2
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diff
changeset
|
2152 |
07ebe522dac2
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diff
changeset
|
2153 if (calc_cond) |
07ebe522dac2
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diff
changeset
|
2154 { |
07ebe522dac2
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changeset
|
2155 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
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diff
changeset
|
2156 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
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diff
changeset
|
2157 work[i] = 0.; |
07ebe522dac2
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diff
changeset
|
2158 |
07ebe522dac2
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diff
changeset
|
2159 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
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diff
changeset
|
2160 { |
07ebe522dac2
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diff
changeset
|
2161 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2162 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2163 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2164 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2165 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2166 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2167 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2168 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2169 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2170 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2171 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2172 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2173 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2174 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2175 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2176 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2177 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2178 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2179 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2180 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2181 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2182 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2183 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2184 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2185 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2186 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2187 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2188 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2189 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2190 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2191 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2192 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2193 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2194 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2195 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2196 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2197 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2198 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2199 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2200 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2201 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2202 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2203 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2204 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2205 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2206 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2207 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2208 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2209 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2210 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2211 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2212 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2213 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2214 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2215 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2216 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2217 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2218 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2219 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2220 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2221 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2222 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2223 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2224 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2225 retval.xelem (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2226 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2227 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2228 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2229 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2230 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2231 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2232 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2233 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2234 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2235 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2236 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2237 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2238 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2239 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2240 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2241 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2242 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2243 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2244 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2245 i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2246 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2247 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2248 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2249 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2250 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2251 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2252 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2253 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2254 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2255 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2256 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2257 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2258 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2259 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2260 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2261 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2262 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2263 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2264 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2265 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2266 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2267 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2268 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2269 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2270 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2271 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2272 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2273 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2274 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2275 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2276 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2277 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2278 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2279 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2280 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2281 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2282 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2283 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2284 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
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2285 if (sing_handler) |
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2286 { |
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2287 sing_handler (rcond); |
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2288 mattype.mark_as_rectangular (); |
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|
2289 } |
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|
2290 else |
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|
2291 (*current_liboctave_error_handler) |
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2292 ("matrix singular to machine precision, rcond = %g", |
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2293 rcond); |
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|
2294 } |
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2295 } |
5164 | 2296 else |
10314
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|
2297 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2298 } |
2299 | |
2300 return retval; | |
2301 } | |
2302 | |
2303 SparseComplexMatrix | |
5785 | 2304 SparseComplexMatrix::utsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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2305 octave_idx_type& err, double& rcond, |
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2306 solve_singularity_handler sing_handler, |
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2307 bool calc_cond) const |
5164 | 2308 { |
2309 SparseComplexMatrix retval; | |
2310 | |
5275 | 2311 octave_idx_type nr = rows (); |
2312 octave_idx_type nc = cols (); | |
5630 | 2313 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2314 err = 0; |
2315 | |
6924 | 2316 if (nr != b.rows ()) |
5164 | 2317 (*current_liboctave_error_handler) |
2318 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2319 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2320 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 2321 else |
2322 { | |
2323 // Print spparms("spumoni") info if requested | |
2324 int typ = mattype.type (); | |
2325 mattype.info (); | |
2326 | |
5785 | 2327 if (typ == MatrixType::Permuted_Upper || |
10314
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2328 typ == MatrixType::Upper) |
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2329 { |
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2330 double anorm = 0.; |
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2331 double ainvnorm = 0.; |
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2332 rcond = 1.; |
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2333 |
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2334 if (calc_cond) |
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2335 { |
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2336 // Calculate the 1-norm of matrix for rcond calculation |
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2337 for (octave_idx_type j = 0; j < nc; j++) |
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|
2338 { |
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2339 double atmp = 0.; |
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2340 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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2341 atmp += std::abs(data(i)); |
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2342 if (atmp > anorm) |
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2343 anorm = atmp; |
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|
2344 } |
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|
2345 } |
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|
2346 |
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2347 octave_idx_type b_nc = b.cols (); |
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2348 octave_idx_type b_nz = b.nnz (); |
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2349 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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2350 retval.xcidx(0) = 0; |
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2351 octave_idx_type ii = 0; |
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2352 octave_idx_type x_nz = b_nz; |
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2353 |
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2354 if (typ == MatrixType::Permuted_Upper) |
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2355 { |
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2356 octave_idx_type *perm = mattype.triangular_perm (); |
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2357 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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|
2358 |
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2359 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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2360 for (octave_idx_type i = 0; i < nc; i++) |
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2361 rperm[perm[i]] = i; |
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|
2362 |
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|
2363 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
2364 { |
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|
2365 for (octave_idx_type i = 0; i < nm; i++) |
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|
2366 work[i] = 0.; |
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|
2367 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
2368 work[b.ridx(i)] = b.data(i); |
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|
2369 |
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|
2370 for (octave_idx_type k = nc-1; k >= 0; k--) |
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|
2371 { |
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|
2372 octave_idx_type kidx = perm[k]; |
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|
2373 |
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|
2374 if (work[k] != 0.) |
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|
2375 { |
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|
2376 if (ridx(cidx(kidx+1)-1) != k || |
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|
2377 data(cidx(kidx+1)-1) == 0.) |
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|
2378 { |
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|
2379 err = -2; |
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|
2380 goto triangular_error; |
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|
2381 } |
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|
2382 |
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|
2383 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
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|
2384 work[k] = tmp; |
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untabify liboctave C++ sources
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|
2385 for (octave_idx_type i = cidx(kidx); |
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|
2386 i < cidx(kidx+1)-1; i++) |
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|
2387 { |
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|
2388 octave_idx_type iidx = ridx(i); |
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|
2389 work[iidx] = work[iidx] - tmp * data(i); |
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|
2390 } |
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|
2391 } |
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|
2392 } |
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|
2393 |
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|
2394 // Count non-zeros in work vector and adjust space in |
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2395 // retval if needed |
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|
2396 octave_idx_type new_nnz = 0; |
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2397 for (octave_idx_type i = 0; i < nc; i++) |
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2398 if (work[i] != 0.) |
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|
2399 new_nnz++; |
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|
2400 |
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2401 if (ii + new_nnz > x_nz) |
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2402 { |
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2403 // Resize the sparse matrix |
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2404 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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2405 retval.change_capacity (sz); |
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2406 x_nz = sz; |
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|
2407 } |
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|
2408 |
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2409 for (octave_idx_type i = 0; i < nc; i++) |
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2410 if (work[rperm[i]] != 0.) |
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2411 { |
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2412 retval.xridx(ii) = i; |
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2413 retval.xdata(ii++) = work[rperm[i]]; |
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2414 } |
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2415 retval.xcidx(j+1) = ii; |
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2416 } |
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|
2417 |
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2418 retval.maybe_compress (); |
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2419 |
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2420 if (calc_cond) |
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|
2421 { |
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2422 // Calculation of 1-norm of inv(*this) |
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2423 for (octave_idx_type i = 0; i < nm; i++) |
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2424 work[i] = 0.; |
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|
2425 |
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|
2426 for (octave_idx_type j = 0; j < nr; j++) |
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2427 { |
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|
2428 work[j] = 1.; |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2429 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2430 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2431 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2432 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2433 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2434 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2435 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2436 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2437 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2438 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2439 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2440 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2441 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2442 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2443 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2444 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2445 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2446 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2447 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2448 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2449 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2450 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2451 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2452 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2453 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2454 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2455 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2456 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2457 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2458 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2459 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2460 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2461 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2462 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2463 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2464 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2465 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2466 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2467 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2468 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2469 for (octave_idx_type k = nr-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2470 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2471 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2472 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2473 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2474 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2475 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2476 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2477 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2478 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2479 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2480 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2481 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2482 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2483 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2484 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2485 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2486 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2487 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2488 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2489 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2490 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2491 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2492 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2493 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2494 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2495 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2496 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2497 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2498 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2499 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2500 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2501 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2502 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2503 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2504 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2505 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2506 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2507 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2508 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2509 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2510 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2511 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2512 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2513 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2514 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2515 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2516 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2517 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2518 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2519 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2520 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2521 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2522 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2523 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2524 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2525 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2526 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2527 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2528 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2529 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2530 Complex tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2531 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2532 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2533 i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2534 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2535 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2536 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2537 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2538 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2539 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2540 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2541 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2542 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2543 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2544 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2545 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2546 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2547 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2548 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2549 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2550 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2551 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2552 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2553 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2554 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2555 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2556 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2557 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2558 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2559 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2560 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2561 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2562 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2563 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2564 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2565 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2566 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2567 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2568 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2569 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2570 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2571 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2572 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2573 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2574 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2575 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2576 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2577 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2578 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2579 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2580 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2581 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2582 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2583 } |
5164 | 2584 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2585 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2586 } |
2587 | |
2588 return retval; | |
2589 } | |
2590 | |
2591 ComplexMatrix | |
5785 | 2592 SparseComplexMatrix::ltsolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2593 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2594 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2595 bool calc_cond) const |
5164 | 2596 { |
2597 ComplexMatrix retval; | |
2598 | |
5275 | 2599 octave_idx_type nr = rows (); |
2600 octave_idx_type nc = cols (); | |
5630 | 2601 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2602 err = 0; |
2603 | |
6924 | 2604 if (nr != b.rows ()) |
5164 | 2605 (*current_liboctave_error_handler) |
2606 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2607 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2608 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 2609 else |
2610 { | |
2611 // Print spparms("spumoni") info if requested | |
2612 int typ = mattype.type (); | |
2613 mattype.info (); | |
2614 | |
5785 | 2615 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2616 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2617 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2618 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2619 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2620 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2621 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2622 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2623 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2624 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2625 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2626 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2627 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2628 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2629 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2630 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2631 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2632 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2633 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2634 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2635 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2636 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2637 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2638 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2639 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2640 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2641 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2642 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2643 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2644 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2645 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2646 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2647 work[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2648 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2649 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2650 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2651 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2652 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2653 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2654 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2655 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2656 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2657 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2658 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2659 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2660 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2661 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2662 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2663 if (minr != k || data (mini) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2664 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2665 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2666 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2667 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2668 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2669 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2670 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2671 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2672 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2673 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2674 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2675 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2676 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2677 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2678 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2679 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2680 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2681 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2682 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2683 retval (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2684 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2685 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2686 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2687 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2688 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2689 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2690 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2691 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2692 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2693 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2694 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2695 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2696 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2697 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2698 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2699 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2700 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2701 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2702 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2703 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2704 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2705 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2706 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2707 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2708 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2709 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2710 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2711 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2712 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2713 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2714 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2715 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2716 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2717 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2718 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2719 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2720 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2721 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2722 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2723 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2724 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2725 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2726 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2727 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2728 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2729 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2730 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2731 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2732 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2733 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2734 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2735 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2736 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2737 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2738 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2739 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2740 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2741 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2742 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2743 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2744 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2745 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2746 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2747 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2748 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2749 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2750 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2751 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2752 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2753 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2754 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2755 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2756 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2757 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2758 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2759 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2760 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2761 for (octave_idx_type i = cidx(k)+1; i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2762 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2763 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2764 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2765 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2766 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2767 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2768 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2769 retval.xelem (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2770 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2771 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2772 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2773 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2774 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2775 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2776 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2777 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2778 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2779 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2780 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2781 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2782 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2783 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2784 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2785 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2786 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2787 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2788 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2789 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2790 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2791 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2792 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2793 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2794 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2795 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2796 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2797 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2798 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2799 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2800 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2801 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2802 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2803 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2804 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2805 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2806 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2807 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2808 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2809 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2810 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2811 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2812 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2813 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2814 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2815 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2816 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2817 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2818 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2819 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2820 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2821 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2822 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2823 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2824 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2825 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2826 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2827 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2828 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2829 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2830 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2831 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2832 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2833 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2834 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2835 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2836 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2837 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2838 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2839 } |
5164 | 2840 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2841 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2842 } |
2843 | |
2844 return retval; | |
2845 } | |
2846 | |
2847 SparseComplexMatrix | |
5785 | 2848 SparseComplexMatrix::ltsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2849 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2850 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2851 bool calc_cond) const |
5164 | 2852 { |
2853 SparseComplexMatrix retval; | |
2854 | |
5275 | 2855 octave_idx_type nr = rows (); |
2856 octave_idx_type nc = cols (); | |
5630 | 2857 octave_idx_type nm = (nc > nr ? nc : nr); |
2858 | |
5164 | 2859 err = 0; |
2860 | |
6924 | 2861 if (nr != b.rows ()) |
5164 | 2862 (*current_liboctave_error_handler) |
2863 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2864 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2865 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 2866 else |
2867 { | |
2868 // Print spparms("spumoni") info if requested | |
2869 int typ = mattype.type (); | |
2870 mattype.info (); | |
2871 | |
5785 | 2872 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2873 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2874 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2875 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2876 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2877 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2878 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2879 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2880 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2881 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2882 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2883 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2884 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2885 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2886 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2887 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2888 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2889 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2890 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2891 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2892 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2893 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2894 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2895 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2896 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2897 octave_idx_type x_nz = b_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2898 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2899 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2900 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2901 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2902 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2903 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2904 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2905 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2906 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2907 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2908 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2909 work[perm[b.ridx(i)]] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2910 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2911 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2912 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2913 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2914 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2915 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2916 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2917 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2918 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2919 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2920 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2921 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2922 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2923 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2924 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2925 if (minr != k || data (mini) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2926 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2927 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2928 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2929 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2930 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2931 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2932 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2933 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2934 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2935 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2936 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2937 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2938 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2939 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2940 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2941 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2942 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2943 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2944 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2945 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2946 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2947 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2948 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2949 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2950 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2951 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2952 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2953 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2954 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2955 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2956 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2957 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2958 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2959 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2960 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2961 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2962 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2963 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2964 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2965 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2966 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2967 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2968 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2969 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2970 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2971 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2972 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2973 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2974 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2975 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2976 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2977 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2978 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2979 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2980 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2981 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2982 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2983 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2984 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2985 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2986 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2987 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2988 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2989 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2990 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2991 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2992 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2993 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2994 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2995 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2996 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2997 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2998 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2999 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3000 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3001 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3002 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3003 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3004 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3005 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3006 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3007 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3008 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3009 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3010 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3011 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3012 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3013 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3014 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3015 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3016 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3017 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3018 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3019 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3020 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3021 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3022 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3023 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3024 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3025 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3026 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3027 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3028 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3029 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3030 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3031 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3032 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3033 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3034 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3035 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3036 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3037 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3038 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3039 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3040 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3041 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3042 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3043 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3044 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3045 for (octave_idx_type i = cidx(k)+1; i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3046 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3047 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3048 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3049 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3050 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3051 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3052 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3053 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3054 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3055 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3056 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3057 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3058 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3059 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3060 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3061 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3062 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3063 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3064 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3065 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3066 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3067 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3068 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3069 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3070 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3071 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3072 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3073 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3074 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3075 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3076 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3077 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3078 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3079 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3080 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3081 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3082 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3083 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3084 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3085 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3086 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3087 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3088 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3089 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3090 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3091 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3092 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3093 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3094 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3095 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3096 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3097 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3098 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3099 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3100 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3101 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3102 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3103 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3104 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3105 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3106 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3107 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3108 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3109 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3110 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3111 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3112 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3113 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3114 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3115 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3116 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3117 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3118 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3119 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3120 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3121 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3122 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3123 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3124 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3125 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3126 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3127 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3128 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3129 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3130 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3131 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3132 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3133 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3134 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3135 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3136 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3137 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3138 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3139 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3140 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3141 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3142 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3143 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3144 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3145 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3146 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3147 } |
5164 | 3148 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3149 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3150 } |
3151 | |
3152 return retval; | |
3153 } | |
3154 | |
3155 ComplexMatrix | |
5785 | 3156 SparseComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3157 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3158 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3159 bool calc_cond) const |
5164 | 3160 { |
3161 ComplexMatrix retval; | |
3162 | |
5275 | 3163 octave_idx_type nr = rows (); |
3164 octave_idx_type nc = cols (); | |
5630 | 3165 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3166 err = 0; |
3167 | |
6924 | 3168 if (nr != b.rows ()) |
5164 | 3169 (*current_liboctave_error_handler) |
3170 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3171 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3172 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 3173 else |
3174 { | |
3175 // Print spparms("spumoni") info if requested | |
3176 int typ = mattype.type (); | |
3177 mattype.info (); | |
3178 | |
5785 | 3179 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3180 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3181 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3182 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3183 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3184 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3185 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3186 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3187 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3188 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3189 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3190 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3191 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3192 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3193 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3194 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3195 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3196 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3197 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3198 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3199 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3200 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3201 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3202 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3203 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3204 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3205 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3206 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3207 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3208 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3209 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3210 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3211 work[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3212 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3213 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3214 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3215 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3216 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3217 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3218 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3219 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3220 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3221 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3222 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3223 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3224 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3225 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3226 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3227 if (minr != k || data (mini) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3228 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3229 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3230 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3231 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3232 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3233 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3234 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3235 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3236 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3237 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3238 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3239 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3240 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3241 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3242 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3243 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3244 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3245 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3246 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3247 retval (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3248 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3249 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3250 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3251 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3252 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3253 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3254 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3255 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3256 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3257 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3258 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3259 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3260 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3261 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3262 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3263 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3264 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3265 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3266 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3267 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3268 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3269 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3270 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3271 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3272 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3273 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3274 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3275 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3276 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3277 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3278 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3279 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3280 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3281 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3282 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3283 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3284 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3285 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3286 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3287 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3288 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3289 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3290 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3291 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3292 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3293 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3294 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3295 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3296 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3297 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3298 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3299 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3300 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3301 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3302 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3303 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3304 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3305 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3306 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3307 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3308 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3309 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3310 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3311 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3312 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3313 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3314 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3315 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3316 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3317 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3318 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3319 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3320 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3321 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3322 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3323 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3324 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3325 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3326 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3327 for (octave_idx_type i = cidx(k)+1; i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3328 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3329 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3330 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3331 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3332 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3333 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3334 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3335 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3336 retval.xelem (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3337 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3338 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3339 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3340 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3341 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3342 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3343 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3344 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3345 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3346 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3347 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3348 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3349 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3350 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3351 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3352 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3353 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3354 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3355 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3356 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3357 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3358 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3359 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3360 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3361 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3362 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3363 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3364 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3365 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3366 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3367 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3368 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3369 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3370 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3371 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3372 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3373 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3374 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3375 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3376 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3377 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3378 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3379 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3380 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3381 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3382 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3383 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3384 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3385 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3386 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3387 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3388 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3389 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3390 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3391 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3392 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3393 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3394 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3395 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3396 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3397 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3398 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3399 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3400 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3401 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3402 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3403 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3404 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3405 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3406 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3407 } |
5164 | 3408 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3409 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3410 } |
3411 | |
3412 return retval; | |
3413 } | |
3414 | |
3415 SparseComplexMatrix | |
5785 | 3416 SparseComplexMatrix::ltsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3417 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3418 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3419 bool calc_cond) const |
5164 | 3420 { |
3421 SparseComplexMatrix retval; | |
3422 | |
5275 | 3423 octave_idx_type nr = rows (); |
3424 octave_idx_type nc = cols (); | |
5630 | 3425 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3426 err = 0; |
3427 | |
6924 | 3428 if (nr != b.rows ()) |
5164 | 3429 (*current_liboctave_error_handler) |
3430 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3431 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3432 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 3433 else |
3434 { | |
3435 // Print spparms("spumoni") info if requested | |
3436 int typ = mattype.type (); | |
3437 mattype.info (); | |
3438 | |
5785 | 3439 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3440 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3441 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3442 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3443 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3444 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3445 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3446 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3447 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3448 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3449 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3450 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3451 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3452 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3453 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3454 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3455 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3456 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3457 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3458 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3459 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3460 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3461 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3462 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3463 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3464 octave_idx_type x_nz = b_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3465 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3466 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3467 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3468 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3469 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3470 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3471 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3472 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3473 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3474 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3475 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3476 work[perm[b.ridx(i)]] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3477 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3478 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3479 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3480 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3481 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3482 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3483 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3484 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3485 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3486 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3487 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3488 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3489 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3490 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3491 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3492 if (minr != k || data (mini) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3493 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3494 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3495 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3496 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3497 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3498 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3499 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3500 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3501 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3502 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3503 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3504 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3505 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3506 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3507 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3508 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3509 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3510 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3511 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3512 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3513 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3514 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3515 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3516 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3517 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3518 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3519 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3520 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3521 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3522 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3523 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3524 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3525 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3526 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3527 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3528 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3529 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3530 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3531 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3532 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3533 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3534 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3535 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3536 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3537 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3538 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3539 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3540 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3541 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3542 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3543 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3544 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3545 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3546 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3547 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3548 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3549 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3550 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3551 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3552 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3553 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3554 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3555 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3556 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3557 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3558 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3559 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3560 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3561 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3562 Complex tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3563 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3564 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3565 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3566 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3567 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3568 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3569 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3570 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3571 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3572 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3573 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3574 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3575 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3576 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3577 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3578 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3579 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3580 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3581 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3582 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3583 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3584 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3585 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3586 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3587 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3588 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3589 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3590 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3591 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3592 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3593 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3594 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3595 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3596 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3597 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3598 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3599 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3600 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3601 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3602 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3603 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3604 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3605 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3606 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3607 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3608 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3609 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3610 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3611 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3612 for (octave_idx_type i = cidx(k)+1; i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3613 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3614 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3615 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3616 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3617 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3618 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3619 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3620 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3621 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3622 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3623 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3624 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3625 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3626 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3627 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3628 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3629 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3630 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3631 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3632 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3633 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3634 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3635 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3636 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3637 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3638 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3639 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3640 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3641 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3642 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3643 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3644 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3645 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3646 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3647 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3648 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3649 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3650 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3651 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3652 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3653 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3654 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3655 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3656 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3657 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3658 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3659 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3660 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3661 Complex tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3662 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3663 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3664 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3665 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3666 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3667 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3668 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3669 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3670 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3671 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3672 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3673 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3674 atmp += std::abs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3675 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3676 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3677 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3678 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3679 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3680 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3681 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3682 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3683 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3684 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3685 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3686 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3687 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3688 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3689 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3690 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3691 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3692 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3693 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3694 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3695 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3696 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3697 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3698 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3699 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3700 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3701 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3702 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3703 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3704 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3705 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3706 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3707 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3708 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3709 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3710 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3711 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3712 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3713 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3714 } |
5164 | 3715 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3716 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3717 } |
3718 | |
3719 return retval; | |
3720 } | |
3721 | |
3722 ComplexMatrix | |
5785 | 3723 SparseComplexMatrix::trisolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3724 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3725 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3726 bool calc_cond) const |
5164 | 3727 { |
3728 ComplexMatrix retval; | |
3729 | |
5275 | 3730 octave_idx_type nr = rows (); |
3731 octave_idx_type nc = cols (); | |
5164 | 3732 err = 0; |
3733 | |
6924 | 3734 if (nr != nc || nr != b.rows ()) |
5164 | 3735 (*current_liboctave_error_handler) |
3736 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3737 else if (nr == 0 || b.cols () == 0) |
3738 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5681 | 3739 else if (calc_cond) |
3740 (*current_liboctave_error_handler) | |
3741 ("calculation of condition number not implemented"); | |
5164 | 3742 else |
3743 { | |
3744 // Print spparms("spumoni") info if requested | |
3745 volatile int typ = mattype.type (); | |
3746 mattype.info (); | |
3747 | |
5785 | 3748 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3749 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3750 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3751 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3752 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3753 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3754 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3755 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3756 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3757 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3758 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3759 D[j] = std::real(data(ii++)); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3760 DL[j] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3761 ii += 2; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3762 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3763 D[nc-1] = std::real(data(ii)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3764 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3765 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3766 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3767 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3768 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3769 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3770 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3771 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3772 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3773 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3774 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3775 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3776 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3777 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3778 D[j] = std::real(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3779 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3780 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3781 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3782 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3783 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3784 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3785 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3786 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3787 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3788 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3789 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3790 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3791 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3792 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3793 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3794 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3795 typ = MatrixType::Tridiagonal; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3796 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3797 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3798 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3799 } |
5164 | 3800 |
5785 | 3801 if (typ == MatrixType::Tridiagonal) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3802 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3803 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3804 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3805 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3806 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3807 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3808 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3809 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3810 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3811 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3812 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3813 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3814 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3815 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3816 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3817 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3818 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3819 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3820 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3821 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3822 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3823 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3824 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3825 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3826 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3827 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3828 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3829 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3830 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3831 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3832 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3833 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3834 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3835 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3836 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3837 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3838 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3839 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3840 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3841 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3842 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3843 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3844 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3845 F77_XFCN (zgtsv, ZGTSV, (nr, b_nc, DL, D, DU, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3846 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3847 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3848 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3849 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3850 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3851 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3852 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3853 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3854 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3855 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3856 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3857 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3858 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3859 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3860 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3861 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3862 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3863 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3864 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3865 } |
5785 | 3866 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3867 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3868 } |
3869 | |
3870 return retval; | |
3871 } | |
3872 | |
3873 SparseComplexMatrix | |
5785 | 3874 SparseComplexMatrix::trisolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3875 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3876 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3877 bool calc_cond) const |
5164 | 3878 { |
3879 SparseComplexMatrix retval; | |
3880 | |
5275 | 3881 octave_idx_type nr = rows (); |
3882 octave_idx_type nc = cols (); | |
5164 | 3883 err = 0; |
3884 | |
6924 | 3885 if (nr != nc || nr != b.rows ()) |
5164 | 3886 (*current_liboctave_error_handler) |
3887 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3888 else if (nr == 0 || b.cols () == 0) |
3889 retval = SparseComplexMatrix (nc, b.cols ()); | |
5681 | 3890 else if (calc_cond) |
3891 (*current_liboctave_error_handler) | |
3892 ("calculation of condition number not implemented"); | |
5164 | 3893 else |
3894 { | |
3895 // Print spparms("spumoni") info if requested | |
3896 int typ = mattype.type (); | |
3897 mattype.info (); | |
3898 | |
3899 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 3900 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3901 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3902 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3903 OCTAVE_LOCAL_BUFFER (Complex, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3904 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3905 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3906 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3907 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3908 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3909 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3910 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3911 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3912 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3913 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3914 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3915 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3916 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3917 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3918 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3919 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3920 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3921 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3922 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3923 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3924 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3925 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3926 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3927 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3928 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3929 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3930 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3931 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3932 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3933 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3934 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3935 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3936 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3937 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3938 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3939 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3940 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3941 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3942 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3943 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3944 F77_XFCN (zgttrf, ZGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3945 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3946 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3947 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3948 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3949 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3950 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3951 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3952 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3953 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3954 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3955 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3956 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3957 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3958 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3959 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3960 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3961 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3962 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3963 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3964 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
3965 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3966 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3967 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3968 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3969 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3970 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3971 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3972 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3973 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3974 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3975 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3976 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3977 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3978 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3979 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3980 F77_XFCN (zgttrs, ZGTTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3981 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3982 nr, 1, DL, D, DU, DU2, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3983 work, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3984 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3985 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3986 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3987 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3988 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3989 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3990 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3991 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3992 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3993 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3994 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3995 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3996 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3997 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3998 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3999 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4000 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4001 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4002 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4003 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4004 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4005 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4006 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4007 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4008 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4009 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4010 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4011 } |
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untabify liboctave C++ sources
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diff
changeset
|
4012 } |
5785 | 4013 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4014 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4015 } |
4016 | |
4017 return retval; | |
4018 } | |
4019 | |
4020 ComplexMatrix | |
5785 | 4021 SparseComplexMatrix::trisolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4022 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4023 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4024 bool calc_cond) const |
5164 | 4025 { |
4026 ComplexMatrix retval; | |
4027 | |
5275 | 4028 octave_idx_type nr = rows (); |
4029 octave_idx_type nc = cols (); | |
5164 | 4030 err = 0; |
4031 | |
6924 | 4032 if (nr != nc || nr != b.rows ()) |
5164 | 4033 (*current_liboctave_error_handler) |
4034 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4035 else if (nr == 0 || b.cols () == 0) |
4036 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5681 | 4037 else if (calc_cond) |
4038 (*current_liboctave_error_handler) | |
4039 ("calculation of condition number not implemented"); | |
5164 | 4040 else |
4041 { | |
4042 // Print spparms("spumoni") info if requested | |
4043 volatile int typ = mattype.type (); | |
4044 mattype.info (); | |
4045 | |
5785 | 4046 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4047 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4048 OCTAVE_LOCAL_BUFFER (double, D, nr); |
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untabify liboctave C++ sources
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diff
changeset
|
4049 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
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10158
diff
changeset
|
4050 |
07ebe522dac2
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10158
diff
changeset
|
4051 if (mattype.is_dense ()) |
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untabify liboctave C++ sources
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10158
diff
changeset
|
4052 { |
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untabify liboctave C++ sources
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10158
diff
changeset
|
4053 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4054 |
07ebe522dac2
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diff
changeset
|
4055 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
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diff
changeset
|
4056 { |
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diff
changeset
|
4057 D[j] = std::real(data(ii++)); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4058 DL[j] = data(ii); |
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diff
changeset
|
4059 ii += 2; |
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10158
diff
changeset
|
4060 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4061 D[nc-1] = std::real(data(ii)); |
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untabify liboctave C++ sources
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diff
changeset
|
4062 } |
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10158
diff
changeset
|
4063 else |
07ebe522dac2
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diff
changeset
|
4064 { |
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changeset
|
4065 D[0] = 0.; |
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untabify liboctave C++ sources
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diff
changeset
|
4066 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
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diff
changeset
|
4067 { |
07ebe522dac2
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diff
changeset
|
4068 D[i+1] = 0.; |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4069 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4070 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4071 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4072 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4073 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4074 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4075 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4076 D[j] = std::real (data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4077 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4078 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4079 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4080 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4081 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4082 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4083 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4084 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4085 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4086 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4087 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4088 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4089 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4090 b_nr, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4091 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4092 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4093 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4094 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4095 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4096 typ = MatrixType::Tridiagonal; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4097 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4098 } |
5164 | 4099 |
5785 | 4100 if (typ == MatrixType::Tridiagonal) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4101 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4102 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4103 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4104 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4105 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4106 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4107 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4108 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4109 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4110 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4111 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4112 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4113 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4114 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4115 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4116 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4117 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4118 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4119 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4120 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4121 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4122 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4123 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4124 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4125 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4126 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4127 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4128 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4129 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4130 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4131 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4132 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4133 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4134 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4135 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4136 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4137 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4138 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4139 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4140 octave_idx_type b_nr = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4141 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4142 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4143 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4144 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4145 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4146 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4147 F77_XFCN (zgtsv, ZGTSV, (nr, b_nc, DL, D, DU, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4148 b_nr, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4149 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4150 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4151 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4152 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4153 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4154 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4155 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4156 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4157 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4158 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4159 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4160 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4161 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4162 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4163 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4164 } |
5785 | 4165 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4166 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4167 } |
4168 | |
4169 return retval; | |
4170 } | |
4171 | |
4172 SparseComplexMatrix | |
5785 | 4173 SparseComplexMatrix::trisolve (MatrixType &mattype, |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4174 const SparseComplexMatrix& b, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4175 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4176 solve_singularity_handler sing_handler, |
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untabify liboctave C++ sources
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diff
changeset
|
4177 bool calc_cond) const |
5164 | 4178 { |
4179 SparseComplexMatrix retval; | |
4180 | |
5275 | 4181 octave_idx_type nr = rows (); |
4182 octave_idx_type nc = cols (); | |
5164 | 4183 err = 0; |
4184 | |
6924 | 4185 if (nr != nc || nr != b.rows ()) |
5164 | 4186 (*current_liboctave_error_handler) |
4187 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4188 else if (nr == 0 || b.cols () == 0) |
4189 retval = SparseComplexMatrix (nc, b.cols ()); | |
5681 | 4190 else if (calc_cond) |
4191 (*current_liboctave_error_handler) | |
4192 ("calculation of condition number not implemented"); | |
5164 | 4193 else |
4194 { | |
4195 // Print spparms("spumoni") info if requested | |
4196 int typ = mattype.type (); | |
4197 mattype.info (); | |
4198 | |
4199 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 4200 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4201 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4202 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4203 OCTAVE_LOCAL_BUFFER (Complex, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4204 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4205 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
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untabify liboctave C++ sources
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diff
changeset
|
4206 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4207 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4208 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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changeset
|
4209 |
07ebe522dac2
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10158
diff
changeset
|
4210 if (mattype.is_dense ()) |
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10158
diff
changeset
|
4211 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4212 octave_idx_type ii = 0; |
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changeset
|
4213 |
07ebe522dac2
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diff
changeset
|
4214 for (octave_idx_type j = 0; j < nc-1; j++) |
07ebe522dac2
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10158
diff
changeset
|
4215 { |
07ebe522dac2
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diff
changeset
|
4216 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4217 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4218 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4219 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4220 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4221 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4222 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4223 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4224 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4225 for (octave_idx_type i = 0; i < nr - 1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4226 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4227 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4228 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4229 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4230 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4231 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4232 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4233 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4234 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4235 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4236 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4237 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4238 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4239 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4240 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4241 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4242 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4243 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4244 F77_XFCN (zgttrf, ZGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4245 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4246 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4247 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4248 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4249 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4250 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4251 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4252 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4253 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4254 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4255 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4256 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4257 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4258 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4259 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4260 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4261 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4262 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4263 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4264 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4265 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4266 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4267 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4268 // Take a first guess that the number of non-zero terms |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4269 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4270 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4271 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4272 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4273 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4274 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4275 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4276 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4277 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4278 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4279 Bx[i] = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4280 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4281 F77_XFCN (zgttrs, ZGTTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4282 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4283 nr, 1, DL, D, DU, DU2, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4284 Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4285 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4286 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4287 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4288 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4289 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4290 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4291 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4292 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4293 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4294 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4295 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4296 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4297 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4298 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4299 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4300 if (Bx[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4301 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4302 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4303 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4304 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4305 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4306 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4307 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4308 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4309 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4310 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4311 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4312 if (Bx[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4313 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4314 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4315 retval.xdata(ii++) = Bx[i]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4316 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4317 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4318 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4319 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4320 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4321 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4322 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4323 } |
5785 | 4324 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4325 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4326 } |
4327 | |
4328 return retval; | |
4329 } | |
4330 | |
4331 ComplexMatrix | |
5785 | 4332 SparseComplexMatrix::bsolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4333 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4334 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4335 bool calc_cond) const |
5164 | 4336 { |
4337 ComplexMatrix retval; | |
4338 | |
5275 | 4339 octave_idx_type nr = rows (); |
4340 octave_idx_type nc = cols (); | |
5164 | 4341 err = 0; |
4342 | |
6924 | 4343 if (nr != nc || nr != b.rows ()) |
5164 | 4344 (*current_liboctave_error_handler) |
4345 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4346 else if (nr == 0 || b.cols () == 0) |
4347 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 4348 else |
4349 { | |
4350 // Print spparms("spumoni") info if requested | |
4351 volatile int typ = mattype.type (); | |
4352 mattype.info (); | |
4353 | |
5785 | 4354 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4355 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4356 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4357 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4358 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4359 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4360 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4361 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4362 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4363 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4364 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4365 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4366 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4367 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4368 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4369 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4370 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4371 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4372 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4373 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4374 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4375 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4376 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4377 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4378 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4379 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4380 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4381 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4382 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4383 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4384 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4385 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4386 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4387 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4388 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4389 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4390 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4391 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4392 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4393 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4394 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4395 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4396 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4397 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4398 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4399 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4400 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4401 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4402 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4403 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4404 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4405 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4406 F77_XFCN (zpbcon, ZPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4407 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4408 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4409 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4410 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4411 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4412 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4413 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4414 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4415 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4416 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4417 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4418 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4419 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4420 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4421 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4422 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4423 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4424 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4425 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4426 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4427 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4428 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4429 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4430 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4431 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4432 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4433 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4434 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4435 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4436 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4437 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4438 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4439 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4440 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4441 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4442 F77_XFCN (zpbtrs, ZPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4443 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4444 nr, n_lower, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4445 ldm, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4446 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4447 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4448 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4449 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4450 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4451 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4452 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4453 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4454 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4455 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4456 } |
5164 | 4457 |
5785 | 4458 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4459 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4460 // Create the storage for the banded form of the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4461 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4462 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4463 octave_idx_type ldm = n_upper + 2 * n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4464 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4465 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4466 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4467 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4468 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4469 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4470 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4471 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4472 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4473 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4474 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4475 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4476 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4477 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4478 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4479 m_band(ridx(i) - j + n_lower + n_upper, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4480 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4481 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4482 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4483 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4484 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4485 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4486 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4487 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4488 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4489 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4490 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4491 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4492 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4493 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4494 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4495 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4496 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4497 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4498 F77_XFCN (zgbtrf, ZGBTRF, (nr, nc, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4499 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4500 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4501 // Throw-away extra info LAPACK gives so as to not |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4502 // change output. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4503 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4504 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4505 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4506 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4507 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4508 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4509 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4510 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4511 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4512 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4513 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4514 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4515 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4516 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4517 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4518 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4519 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4520 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4521 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4522 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4523 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4524 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4525 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4526 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4527 F77_XFCN (zgbcon, ZGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4528 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4529 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4530 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4531 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4532 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4533 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4534 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4535 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4536 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4537 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4538 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4539 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4540 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4541 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4542 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4543 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4544 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4545 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4546 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4547 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4548 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4549 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4550 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4551 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4552 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4553 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4554 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4555 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4556 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4557 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4558 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4559 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4560 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4561 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4562 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4563 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4564 F77_XFCN (zgbtrs, ZGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4565 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4566 nr, n_lower, n_upper, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4567 ldm, pipvt, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4568 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4569 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4570 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4571 } |
5785 | 4572 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4573 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4574 } |
4575 | |
4576 return retval; | |
4577 } | |
4578 | |
4579 SparseComplexMatrix | |
5785 | 4580 SparseComplexMatrix::bsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4581 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4582 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4583 bool calc_cond) const |
5164 | 4584 { |
4585 SparseComplexMatrix retval; | |
4586 | |
5275 | 4587 octave_idx_type nr = rows (); |
4588 octave_idx_type nc = cols (); | |
5164 | 4589 err = 0; |
4590 | |
6924 | 4591 if (nr != nc || nr != b.rows ()) |
5164 | 4592 (*current_liboctave_error_handler) |
4593 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4594 else if (nr == 0 || b.cols () == 0) |
4595 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 4596 else |
4597 { | |
4598 // Print spparms("spumoni") info if requested | |
4599 volatile int typ = mattype.type (); | |
4600 mattype.info (); | |
4601 | |
5785 | 4602 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4603 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4604 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4605 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4606 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4607 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4608 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4609 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4610 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4611 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4612 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4613 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4614 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4615 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4616 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4617 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4618 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4619 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4620 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4621 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4622 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4623 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4624 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4625 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4626 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4627 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4628 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4629 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4630 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4631 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4632 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4633 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4634 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4635 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4636 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4637 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4638 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4639 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4640 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4641 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4642 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4643 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4644 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4645 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4646 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4647 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4648 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4649 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4650 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4651 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4652 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4653 F77_XFCN (zpbcon, ZPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4654 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4655 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4656 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4657 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4658 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4659 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4660 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4661 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4662 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4663 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4664 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4665 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4666 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4667 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4668 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4669 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4670 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4671 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4672 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4673 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4674 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4675 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4676 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4677 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4678 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4679 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4680 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4681 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4682 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4683 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4684 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4685 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4686 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4687 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4688 // Take a first guess that the number of non-zero terms |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4689 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4690 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4691 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4692 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4693 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4694 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4695 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4696 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4697 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4698 Bx[i] = b.elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4699 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4700 F77_XFCN (zpbtrs, ZPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4701 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4702 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4703 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4704 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4705 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4706 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4707 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4708 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4709 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4710 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4711 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4712 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4713 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4714 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4715 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4716 Complex tmp = Bx[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4717 if (tmp != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4718 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4719 if (ii == x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4720 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4721 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4722 octave_idx_type sz = x_nz * |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4723 (b_nc - j) / b_nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4724 sz = (sz > 10 ? sz : 10) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4725 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4726 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4727 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4728 retval.xdata(ii) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4729 retval.xridx(ii++) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4730 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4731 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4732 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4733 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4734 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4735 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4736 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4737 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4738 } |
5164 | 4739 |
5785 | 4740 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4741 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4742 // Create the storage for the banded form of the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4743 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4744 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4745 octave_idx_type ldm = n_upper + 2 * n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4746 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4747 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4748 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4749 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4750 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4751 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4752 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4753 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4754 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4755 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4756 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4757 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4758 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4759 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4760 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4761 m_band(ridx(i) - j + n_lower + n_upper, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4762 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4763 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4764 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4765 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4766 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4767 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4768 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4769 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4770 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4771 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4772 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4773 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4774 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4775 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4776 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4777 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4778 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4779 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4780 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4781 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4782 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4783 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4784 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4785 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4786 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4787 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4788 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4789 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4790 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4791 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4792 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4793 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4794 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4795 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4796 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4797 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4798 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4799 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4800 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4801 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4802 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4803 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4804 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4805 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4806 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4807 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4808 F77_XFCN (zgbcon, ZGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4809 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4810 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4811 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4812 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4813 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4814 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4815 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4816 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4817 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4818 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4819 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4820 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4821 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4822 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4823 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4824 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4825 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4826 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4827 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4828 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4829 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4830 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4831 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4832 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4833 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4834 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4835 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4836 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4837 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4838 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4839 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4840 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4841 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4842 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4843 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4844 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4845 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4846 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4847 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4848 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4849 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4850 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4851 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4852 for (octave_idx_type i = b.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4853 i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4854 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4855 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4856 F77_XFCN (zgbtrs, ZGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4857 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4858 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4859 ldm, pipvt, work, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4860 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4861 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4862 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4863 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4864 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4865 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4866 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4867 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4868 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4869 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4870 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4871 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4872 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4873 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4874 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4875 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4876 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4877 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4878 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4879 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4880 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4881 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4882 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4883 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4884 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4885 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4886 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4887 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4888 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4889 } |
5785 | 4890 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4891 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4892 } |
4893 | |
4894 return retval; | |
4895 } | |
4896 | |
4897 ComplexMatrix | |
5785 | 4898 SparseComplexMatrix::bsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4899 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4900 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4901 bool calc_cond) const |
5164 | 4902 { |
4903 ComplexMatrix retval; | |
4904 | |
5275 | 4905 octave_idx_type nr = rows (); |
4906 octave_idx_type nc = cols (); | |
5164 | 4907 err = 0; |
4908 | |
6924 | 4909 if (nr != nc || nr != b.rows ()) |
5164 | 4910 (*current_liboctave_error_handler) |
4911 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4912 else if (nr == 0 || b.cols () == 0) |
4913 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 4914 else |
4915 { | |
4916 // Print spparms("spumoni") info if requested | |
4917 volatile int typ = mattype.type (); | |
4918 mattype.info (); | |
4919 | |
5785 | 4920 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4921 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4922 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4923 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4924 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4925 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4926 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4927 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4928 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4929 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4930 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4931 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4932 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4933 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4934 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4935 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4936 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4937 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4938 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4939 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4940 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4941 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4942 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4943 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4944 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
4945 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4946 double anorm; |
07ebe522dac2
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10158
diff
changeset
|
4947 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4948 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4949 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4950 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4951 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4952 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4953 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4954 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4955 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4956 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4957 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4958 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
4959 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4960 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4961 typ = MatrixType::Banded; |
07ebe522dac2
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parents:
10158
diff
changeset
|
4962 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4963 } |
07ebe522dac2
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10158
diff
changeset
|
4964 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4965 { |
07ebe522dac2
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10158
diff
changeset
|
4966 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4967 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4968 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4969 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4970 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4971 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4972 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4973 F77_XFCN (zpbcon, ZPBCON, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4974 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4975 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4976 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4977 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4978 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4979 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4980 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4981 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4982 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4983 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4984 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4985 { |
07ebe522dac2
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10158
diff
changeset
|
4986 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4987 |
07ebe522dac2
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diff
changeset
|
4988 if (sing_handler) |
07ebe522dac2
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diff
changeset
|
4989 { |
07ebe522dac2
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diff
changeset
|
4990 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4991 mattype.mark_as_rectangular (); |
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diff
changeset
|
4992 } |
07ebe522dac2
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diff
changeset
|
4993 else |
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changeset
|
4994 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4995 ("matrix singular to machine precision, rcond = %g", |
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10158
diff
changeset
|
4996 rcond); |
07ebe522dac2
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10158
diff
changeset
|
4997 } |
07ebe522dac2
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10158
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changeset
|
4998 } |
07ebe522dac2
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changeset
|
4999 else |
07ebe522dac2
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diff
changeset
|
5000 rcond = 1.0; |
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changeset
|
5001 |
07ebe522dac2
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10158
diff
changeset
|
5002 if (err == 0) |
07ebe522dac2
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10158
diff
changeset
|
5003 { |
07ebe522dac2
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diff
changeset
|
5004 octave_idx_type b_nr = b.rows (); |
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untabify liboctave C++ sources
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diff
changeset
|
5005 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5006 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5007 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
5008 |
07ebe522dac2
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diff
changeset
|
5009 F77_XFCN (zpbtrs, ZPBTRS, |
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diff
changeset
|
5010 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
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10158
diff
changeset
|
5011 nr, n_lower, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5012 ldm, result, b_nr, err |
07ebe522dac2
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10158
diff
changeset
|
5013 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
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10158
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changeset
|
5014 |
07ebe522dac2
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diff
changeset
|
5015 if (err != 0) |
07ebe522dac2
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10158
diff
changeset
|
5016 { |
07ebe522dac2
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10158
diff
changeset
|
5017 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5018 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5019 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5020 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5021 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5022 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5023 } |
5164 | 5024 |
5785 | 5025 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5026 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5027 // Create the storage for the banded form of the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5028 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5029 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5030 octave_idx_type ldm = n_upper + 2 * n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5031 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5032 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5033 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5034 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5035 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5036 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5037 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5038 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5039 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5040 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5041 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5042 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5043 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5044 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5045 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5046 m_band(ridx(i) - j + n_lower + n_upper, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5047 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5048 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5049 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5050 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5051 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5052 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5053 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5054 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5055 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5056 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5057 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5058 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5059 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5060 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5061 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5062 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5063 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5064 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5065 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5066 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5067 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5068 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5069 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5070 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5071 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5072 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5073 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5074 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5075 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5076 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5077 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5078 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5079 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5080 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5081 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5082 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5083 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5084 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5085 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5086 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5087 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5088 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5089 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5090 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5091 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5092 F77_XFCN (zgbcon, ZGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5093 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5094 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5095 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5096 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5097 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5098 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5099 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5100 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5101 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5102 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5103 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5104 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5105 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5106 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5107 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5108 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5109 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5110 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5111 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5112 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5113 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5114 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5115 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5116 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5117 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5118 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5119 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5120 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5121 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5122 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5123 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5124 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5125 retval = ComplexMatrix (b); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5126 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5127 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5128 F77_XFCN (zgbtrs, ZGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5129 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5130 nr, n_lower, n_upper, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5131 ldm, pipvt, result, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5132 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5133 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5134 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5135 } |
5785 | 5136 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5137 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5138 } |
5139 | |
5140 return retval; | |
5141 } | |
5142 | |
5143 SparseComplexMatrix | |
5785 | 5144 SparseComplexMatrix::bsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5145 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5146 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5147 bool calc_cond) const |
5164 | 5148 { |
5149 SparseComplexMatrix retval; | |
5150 | |
5275 | 5151 octave_idx_type nr = rows (); |
5152 octave_idx_type nc = cols (); | |
5164 | 5153 err = 0; |
5154 | |
6924 | 5155 if (nr != nc || nr != b.rows ()) |
5164 | 5156 (*current_liboctave_error_handler) |
5157 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5158 else if (nr == 0 || b.cols () == 0) |
5159 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 5160 else |
5161 { | |
5162 // Print spparms("spumoni") info if requested | |
5163 volatile int typ = mattype.type (); | |
5164 mattype.info (); | |
5165 | |
5785 | 5166 if (typ == MatrixType::Banded_Hermitian) |
10314
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|
5167 { |
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|
5168 octave_idx_type n_lower = mattype.nlower (); |
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untabify liboctave C++ sources
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|
5169 octave_idx_type ldm = n_lower + 1; |
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untabify liboctave C++ sources
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changeset
|
5170 |
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diff
changeset
|
5171 ComplexMatrix m_band (ldm, nc); |
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untabify liboctave C++ sources
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diff
changeset
|
5172 Complex *tmp_data = m_band.fortran_vec (); |
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untabify liboctave C++ sources
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changeset
|
5173 |
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diff
changeset
|
5174 if (! mattype.is_dense ()) |
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untabify liboctave C++ sources
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diff
changeset
|
5175 { |
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diff
changeset
|
5176 octave_idx_type ii = 0; |
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untabify liboctave C++ sources
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diff
changeset
|
5177 |
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diff
changeset
|
5178 for (octave_idx_type j = 0; j < ldm; j++) |
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untabify liboctave C++ sources
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|
5179 for (octave_idx_type i = 0; i < nc; i++) |
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diff
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|
5180 tmp_data[ii++] = 0.; |
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diff
changeset
|
5181 } |
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diff
changeset
|
5182 |
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diff
changeset
|
5183 for (octave_idx_type j = 0; j < nc; j++) |
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untabify liboctave C++ sources
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|
5184 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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untabify liboctave C++ sources
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changeset
|
5185 { |
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diff
changeset
|
5186 octave_idx_type ri = ridx (i); |
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|
5187 if (ri >= j) |
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|
5188 m_band(ri - j, j) = data(i); |
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diff
changeset
|
5189 } |
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diff
changeset
|
5190 |
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diff
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|
5191 // Calculate the norm of the matrix, for later use. |
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diff
changeset
|
5192 double anorm; |
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diff
changeset
|
5193 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5194 anorm = m_band.abs().sum().row(0).max(); |
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untabify liboctave C++ sources
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diff
changeset
|
5195 |
07ebe522dac2
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diff
changeset
|
5196 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5197 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5198 nr, n_lower, tmp_data, ldm, err |
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untabify liboctave C++ sources
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diff
changeset
|
5199 F77_CHAR_ARG_LEN (1))); |
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10158
diff
changeset
|
5200 |
07ebe522dac2
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diff
changeset
|
5201 if (err != 0) |
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untabify liboctave C++ sources
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diff
changeset
|
5202 { |
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diff
changeset
|
5203 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
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diff
changeset
|
5204 // unsymmetric banded solver. |
07ebe522dac2
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diff
changeset
|
5205 mattype.mark_as_unsymmetric (); |
07ebe522dac2
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diff
changeset
|
5206 typ = MatrixType::Banded; |
07ebe522dac2
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diff
changeset
|
5207 |
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diff
changeset
|
5208 rcond = 0.0; |
07ebe522dac2
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diff
changeset
|
5209 err = 0; |
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diff
changeset
|
5210 } |
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diff
changeset
|
5211 else |
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diff
changeset
|
5212 { |
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diff
changeset
|
5213 if (calc_cond) |
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diff
changeset
|
5214 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5215 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
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diff
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|
5216 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5217 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5218 double *piz = iz.fortran_vec (); |
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diff
changeset
|
5219 |
07ebe522dac2
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diff
changeset
|
5220 F77_XFCN (zpbcon, ZPBCON, |
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diff
changeset
|
5221 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
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diff
changeset
|
5222 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
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diff
changeset
|
5223 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5224 F77_CHAR_ARG_LEN (1))); |
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10158
diff
changeset
|
5225 |
07ebe522dac2
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diff
changeset
|
5226 if (err != 0) |
07ebe522dac2
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10158
diff
changeset
|
5227 err = -2; |
07ebe522dac2
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diff
changeset
|
5228 |
07ebe522dac2
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diff
changeset
|
5229 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
5230 |
07ebe522dac2
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diff
changeset
|
5231 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
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parents:
10158
diff
changeset
|
5232 { |
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10158
diff
changeset
|
5233 err = -2; |
07ebe522dac2
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diff
changeset
|
5234 |
07ebe522dac2
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diff
changeset
|
5235 if (sing_handler) |
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10158
diff
changeset
|
5236 { |
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diff
changeset
|
5237 sing_handler (rcond); |
07ebe522dac2
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diff
changeset
|
5238 mattype.mark_as_rectangular (); |
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diff
changeset
|
5239 } |
07ebe522dac2
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diff
changeset
|
5240 else |
07ebe522dac2
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diff
changeset
|
5241 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5242 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
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diff
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|
5243 rcond); |
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diff
changeset
|
5244 } |
07ebe522dac2
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10158
diff
changeset
|
5245 } |
07ebe522dac2
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10158
diff
changeset
|
5246 else |
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diff
changeset
|
5247 rcond = 1.0; |
07ebe522dac2
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changeset
|
5248 |
07ebe522dac2
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diff
changeset
|
5249 if (err == 0) |
07ebe522dac2
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diff
changeset
|
5250 { |
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changeset
|
5251 octave_idx_type b_nr = b.rows (); |
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changeset
|
5252 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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diff
changeset
|
5253 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
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changeset
|
5254 |
07ebe522dac2
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diff
changeset
|
5255 // Take a first guess that the number of non-zero terms |
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changeset
|
5256 // will be as many as in b |
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changeset
|
5257 volatile octave_idx_type x_nz = b.nnz (); |
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changeset
|
5258 volatile octave_idx_type ii = 0; |
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changeset
|
5259 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
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|
5260 |
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changeset
|
5261 retval.xcidx(0) = 0; |
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untabify liboctave C++ sources
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changeset
|
5262 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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changeset
|
5263 { |
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changeset
|
5264 |
07ebe522dac2
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changeset
|
5265 for (octave_idx_type i = 0; i < b_nr; i++) |
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changeset
|
5266 Bx[i] = b (i,j); |
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changeset
|
5267 |
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diff
changeset
|
5268 F77_XFCN (zpbtrs, ZPBTRS, |
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changeset
|
5269 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
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diff
changeset
|
5270 nr, n_lower, 1, tmp_data, |
07ebe522dac2
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diff
changeset
|
5271 ldm, Bx, b_nr, err |
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changeset
|
5272 F77_CHAR_ARG_LEN (1))); |
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changeset
|
5273 |
07ebe522dac2
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changeset
|
5274 if (err != 0) |
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changeset
|
5275 { |
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changeset
|
5276 (*current_liboctave_error_handler) |
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changeset
|
5277 ("SparseMatrix::solve solve failed"); |
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diff
changeset
|
5278 err = -1; |
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diff
changeset
|
5279 break; |
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changeset
|
5280 } |
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changeset
|
5281 |
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changeset
|
5282 // Count non-zeros in work vector and adjust |
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changeset
|
5283 // space in retval if needed |
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changeset
|
5284 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5285 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5286 if (Bx[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5287 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5288 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5289 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5290 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5291 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5292 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5293 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5294 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5295 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5296 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5297 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5298 if (Bx[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5299 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5300 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5301 retval.xdata(ii++) = Bx[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5302 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5303 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5304 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5305 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5306 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5307 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5308 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5309 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5310 } |
5164 | 5311 |
5785 | 5312 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5313 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5314 // Create the storage for the banded form of the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5315 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5316 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5317 octave_idx_type ldm = n_upper + 2 * n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5318 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5319 ComplexMatrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5320 Complex *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5321 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5322 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5323 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5324 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5325 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5326 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5327 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5328 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5329 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5330 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5331 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5332 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5333 m_band(ridx(i) - j + n_lower + n_upper, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5334 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5335 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5336 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5337 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5338 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5339 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5340 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5341 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5342 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5343 atmp += std::abs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5344 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5345 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5346 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5347 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5348 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5349 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5350 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5351 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5352 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5353 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5354 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5355 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5356 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5357 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5358 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5359 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5360 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5361 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5362 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5363 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5364 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5365 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5366 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5367 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5368 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5369 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5370 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5371 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5372 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5373 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5374 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5375 Array<Complex> z (2 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5376 Complex *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5377 Array<double> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5378 double *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5379 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5380 F77_XFCN (zgbcon, ZGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5381 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5382 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5383 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5384 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5385 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5386 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5387 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5388 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5389 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5390 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5391 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5392 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5393 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5394 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5395 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5396 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5397 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5398 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5399 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5400 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5401 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5402 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5403 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5404 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5405 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5406 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5407 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5408 |
07ebe522dac2
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|
5409 if (err == 0) |
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|
5410 { |
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|
5411 char job = 'N'; |
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|
5412 volatile octave_idx_type x_nz = b.nnz (); |
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5413 octave_idx_type b_nc = b.cols (); |
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5414 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
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5415 retval.xcidx(0) = 0; |
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|
5416 volatile octave_idx_type ii = 0; |
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|
5417 |
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|
5418 OCTAVE_LOCAL_BUFFER (Complex, Bx, nr); |
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|
5419 |
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|
5420 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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|
5421 { |
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|
5422 for (octave_idx_type i = 0; i < nr; i++) |
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|
5423 Bx[i] = 0.; |
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|
5424 |
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|
5425 for (octave_idx_type i = b.cidx(j); |
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5426 i < b.cidx(j+1); i++) |
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|
5427 Bx[b.ridx(i)] = b.data(i); |
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|
5428 |
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|
5429 F77_XFCN (zgbtrs, ZGBTRS, |
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|
5430 (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
5431 nr, n_lower, n_upper, 1, tmp_data, |
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|
5432 ldm, pipvt, Bx, b.rows (), err |
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|
5433 F77_CHAR_ARG_LEN (1))); |
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|
5434 |
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|
5435 // Count non-zeros in work vector and adjust |
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5436 // space in retval if needed |
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|
5437 octave_idx_type new_nnz = 0; |
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|
5438 for (octave_idx_type i = 0; i < nr; i++) |
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|
5439 if (Bx[i] != 0.) |
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|
5440 new_nnz++; |
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|
5441 |
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5442 if (ii + new_nnz > x_nz) |
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|
5443 { |
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|
5444 // Resize the sparse matrix |
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5445 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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|
5446 retval.change_capacity (sz); |
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|
5447 x_nz = sz; |
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|
5448 } |
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|
5449 |
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|
5450 for (octave_idx_type i = 0; i < nr; i++) |
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|
5451 if (Bx[i] != 0.) |
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|
5452 { |
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|
5453 retval.xridx(ii) = i; |
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5454 retval.xdata(ii++) = Bx[i]; |
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|
5455 } |
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5456 retval.xcidx(j+1) = ii; |
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|
5457 } |
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|
5458 |
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|
5459 retval.maybe_compress (); |
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|
5460 } |
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|
5461 } |
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5462 } |
5785 | 5463 else if (typ != MatrixType::Banded_Hermitian) |
10314
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|
5464 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5465 } |
5466 | |
5467 return retval; | |
5468 } | |
5469 | |
5470 void * | |
5681 | 5471 SparseComplexMatrix::factorize (octave_idx_type& err, double &rcond, |
10314
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5472 Matrix &Control, Matrix &Info, |
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5473 solve_singularity_handler sing_handler, |
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|
5474 bool calc_cond) const |
5164 | 5475 { |
5476 // The return values | |
5404 | 5477 void *Numeric = 0; |
5164 | 5478 err = 0; |
5479 | |
5203 | 5480 #ifdef HAVE_UMFPACK |
5164 | 5481 // Setup the control parameters |
5482 Control = Matrix (UMFPACK_CONTROL, 1); | |
5483 double *control = Control.fortran_vec (); | |
5322 | 5484 UMFPACK_ZNAME (defaults) (control); |
5164 | 5485 |
5893 | 5486 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 5487 if (!xisnan (tmp)) |
5488 Control (UMFPACK_PRL) = tmp; | |
5893 | 5489 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 5490 if (!xisnan (tmp)) |
5491 { | |
5492 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; | |
5493 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; | |
5494 } | |
5495 | |
5496 // Set whether we are allowed to modify Q or not | |
5893 | 5497 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 5498 if (!xisnan (tmp)) |
5499 Control (UMFPACK_FIXQ) = tmp; | |
5500 | |
5322 | 5501 UMFPACK_ZNAME (report_control) (control); |
5164 | 5502 |
5275 | 5503 const octave_idx_type *Ap = cidx (); |
5504 const octave_idx_type *Ai = ridx (); | |
5164 | 5505 const Complex *Ax = data (); |
5275 | 5506 octave_idx_type nr = rows (); |
5507 octave_idx_type nc = cols (); | |
5164 | 5508 |
5322 | 5509 UMFPACK_ZNAME (report_matrix) (nr, nc, Ap, Ai, |
10314
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|
5510 reinterpret_cast<const double *> (Ax), |
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|
5511 0, 1, control); |
5164 | 5512 |
5513 void *Symbolic; | |
5514 Info = Matrix (1, UMFPACK_INFO); | |
5515 double *info = Info.fortran_vec (); | |
5322 | 5516 int status = UMFPACK_ZNAME (qsymbolic) (nr, nc, Ap, Ai, |
10314
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|
5517 reinterpret_cast<const double *> (Ax), |
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|
5518 0, 0, &Symbolic, control, info); |
5164 | 5519 |
5520 if (status < 0) | |
5521 { | |
5522 (*current_liboctave_error_handler) | |
10314
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diff
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|
5523 ("SparseComplexMatrix::solve symbolic factorization failed"); |
5164 | 5524 err = -1; |
5525 | |
5322 | 5526 UMFPACK_ZNAME (report_status) (control, status); |
5527 UMFPACK_ZNAME (report_info) (control, info); | |
5528 | |
5529 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; | |
5164 | 5530 } |
5531 else | |
5532 { | |
5322 | 5533 UMFPACK_ZNAME (report_symbolic) (Symbolic, control); |
5534 | |
5535 status = UMFPACK_ZNAME (numeric) (Ap, Ai, | |
10314
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|
5536 reinterpret_cast<const double *> (Ax), 0, |
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diff
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|
5537 Symbolic, &Numeric, control, info) ; |
5322 | 5538 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
5164 | 5539 |
5681 | 5540 if (calc_cond) |
10314
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|
5541 rcond = Info (UMFPACK_RCOND); |
5681 | 5542 else |
10314
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diff
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|
5543 rcond = 1.; |
5164 | 5544 volatile double rcond_plus_one = rcond + 1.0; |
5545 | |
5546 if (status == UMFPACK_WARNING_singular_matrix || | |
10314
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changeset
|
5547 rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
5548 { |
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changeset
|
5549 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
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|
5550 |
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|
5551 err = -2; |
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|
5552 |
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|
5553 if (sing_handler) |
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|
5554 sing_handler (rcond); |
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|
5555 else |
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|
5556 (*current_liboctave_error_handler) |
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|
5557 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
5558 rcond); |
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|
5559 |
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|
5560 } |
5610 | 5561 else if (status < 0) |
10314
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|
5562 { |
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changeset
|
5563 (*current_liboctave_error_handler) |
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|
5564 ("SparseComplexMatrix::solve numeric factorization failed"); |
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|
5565 |
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changeset
|
5566 UMFPACK_ZNAME (report_status) (control, status); |
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changeset
|
5567 UMFPACK_ZNAME (report_info) (control, info); |
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|
5568 |
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changeset
|
5569 err = -1; |
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changeset
|
5570 } |
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changeset
|
5571 else |
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|
5572 { |
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changeset
|
5573 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
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|
5574 } |
5164 | 5575 } |
5576 | |
5577 if (err != 0) | |
5322 | 5578 UMFPACK_ZNAME (free_numeric) (&Numeric); |
5203 | 5579 #else |
5580 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
5581 #endif | |
5164 | 5582 |
5583 return Numeric; | |
5584 } | |
5585 | |
5586 ComplexMatrix | |
5785 | 5587 SparseComplexMatrix::fsolve (MatrixType &mattype, const Matrix& b, |
10314
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|
5588 octave_idx_type& err, double& rcond, |
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changeset
|
5589 solve_singularity_handler sing_handler, |
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|
5590 bool calc_cond) const |
5164 | 5591 { |
5592 ComplexMatrix retval; | |
5593 | |
5275 | 5594 octave_idx_type nr = rows (); |
5595 octave_idx_type nc = cols (); | |
5164 | 5596 err = 0; |
5597 | |
6924 | 5598 if (nr != nc || nr != b.rows ()) |
5164 | 5599 (*current_liboctave_error_handler) |
5600 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5601 else if (nr == 0 || b.cols () == 0) |
5602 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 5603 else |
5604 { | |
5605 // Print spparms("spumoni") info if requested | |
5606 volatile int typ = mattype.type (); | |
5607 mattype.info (); | |
5608 | |
5785 | 5609 if (typ == MatrixType::Hermitian) |
10314
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|
5610 { |
5506 | 5611 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5612 cholmod_common Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5613 cholmod_common *cm = &Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5614 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5615 // Setup initial parameters |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5616 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5617 cm->prefer_zomplex = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5618 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5619 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5620 if (spu == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5621 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5622 cm->print = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5623 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5624 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5625 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5626 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5627 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5628 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5629 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5630 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5631 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5632 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5633 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5634 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5635 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5636 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5637 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5638 cholmod_sparse *A = &Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5639 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5640 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5641 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5642 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5643 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5644 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5645 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5646 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5647 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5648 A->nz = 0; |
5506 | 5649 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5650 A->itype = CHOLMOD_LONG; |
5506 | 5651 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5652 A->itype = CHOLMOD_INT; |
5506 | 5653 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5654 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5655 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5656 A->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5657 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5658 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5659 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5660 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5661 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5662 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5663 cholmod_dense Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5664 cholmod_dense *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5665 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5666 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5667 B->d = B->nrow; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5668 B->nzmax = B->nrow * B->ncol; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5669 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5670 B->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5671 if (nc < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5672 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5673 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5674 // We won't alter it, honest :-) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5675 B->x = const_cast<double *>(b.fortran_vec()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5676 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5677 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5678 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5679 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5680 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5681 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5682 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5683 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5684 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5685 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5686 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5687 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5688 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5689 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5690 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5691 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5692 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5693 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5694 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5695 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5696 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5697 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5698 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5699 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5700 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5701 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5702 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5703 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5704 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5705 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5706 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5707 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5708 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5709 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5710 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5711 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5712 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5713 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5714 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5715 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5716 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5717 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5718 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5719 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5720 for (octave_idx_type j = 0; j < b.cols(); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5721 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5722 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5723 for (octave_idx_type i = 0; i < b.rows(); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5724 retval.xelem(i,j) = static_cast<Complex *>(X->x)[jr + i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5725 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5726 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5727 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5728 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5729 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5730 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5731 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5732 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5733 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5734 } |
5506 | 5735 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5736 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5737 ("CHOLMOD not installed"); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5738 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5739 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5740 typ = MatrixType::Full; |
5506 | 5741 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5742 } |
5164 | 5743 |
5785 | 5744 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5745 { |
5203 | 5746 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5747 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5748 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
5749 sing_handler, calc_cond); |
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diff
changeset
|
5750 |
07ebe522dac2
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diff
changeset
|
5751 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5752 { |
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diff
changeset
|
5753 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5754 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5755 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5756 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5757 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5758 const octave_idx_type *Ap = cidx (); |
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untabify liboctave C++ sources
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diff
changeset
|
5759 const octave_idx_type *Ai = ridx (); |
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untabify liboctave C++ sources
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diff
changeset
|
5760 const Complex *Ax = data (); |
5203 | 5761 #ifdef UMFPACK_SEPARATE_SPLIT |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5762 const double *Bx = b.fortran_vec (); |
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untabify liboctave C++ sources
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diff
changeset
|
5763 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5764 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5765 Bz[i] = 0.; |
5203 | 5766 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5767 OCTAVE_LOCAL_BUFFER (Complex, Bz, b_nr); |
5203 | 5768 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5769 retval.resize (b_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5770 Complex *Xx = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5771 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5772 for (octave_idx_type j = 0, iidx = 0; j < b_nc; j++, iidx += b_nr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5773 { |
5203 | 5774 #ifdef UMFPACK_SEPARATE_SPLIT |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5775 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5776 Ai, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5777 reinterpret_cast<const double *> (Ax), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5778 0, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5779 reinterpret_cast<double *> (&Xx[iidx]), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5780 0, |
07ebe522dac2
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diff
changeset
|
5781 &Bx[iidx], Bz, Numeric, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5782 control, info); |
5203 | 5783 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5784 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5785 Bz[i] = b.elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5786 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5787 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5788 Ai, |
07ebe522dac2
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parents:
10158
diff
changeset
|
5789 reinterpret_cast<const double *> (Ax), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5790 0, |
07ebe522dac2
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10158
diff
changeset
|
5791 reinterpret_cast<double *> (&Xx[iidx]), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5792 0, |
07ebe522dac2
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diff
changeset
|
5793 reinterpret_cast<const double *> (Bz), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5794 0, Numeric, |
07ebe522dac2
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10158
diff
changeset
|
5795 control, info); |
5203 | 5796 #endif |
5797 | |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5798 if (status < 0) |
07ebe522dac2
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10158
diff
changeset
|
5799 { |
07ebe522dac2
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diff
changeset
|
5800 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5801 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5802 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5803 UMFPACK_ZNAME (report_status) (control, status); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5804 |
07ebe522dac2
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parents:
10158
diff
changeset
|
5805 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5806 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5807 break; |
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parents:
10158
diff
changeset
|
5808 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5809 } |
07ebe522dac2
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diff
changeset
|
5810 |
07ebe522dac2
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diff
changeset
|
5811 UMFPACK_ZNAME (report_info) (control, info); |
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untabify liboctave C++ sources
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diff
changeset
|
5812 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5813 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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untabify liboctave C++ sources
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diff
changeset
|
5814 } |
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10158
diff
changeset
|
5815 else |
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untabify liboctave C++ sources
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diff
changeset
|
5816 mattype.mark_as_rectangular (); |
5681 | 5817 |
5203 | 5818 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5819 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 5820 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5821 } |
5785 | 5822 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5823 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5824 } |
5825 | |
5826 return retval; | |
5827 } | |
5828 | |
5829 SparseComplexMatrix | |
5785 | 5830 SparseComplexMatrix::fsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5831 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5832 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5833 bool calc_cond) const |
5164 | 5834 { |
5835 SparseComplexMatrix retval; | |
5836 | |
5275 | 5837 octave_idx_type nr = rows (); |
5838 octave_idx_type nc = cols (); | |
5164 | 5839 err = 0; |
5840 | |
6924 | 5841 if (nr != nc || nr != b.rows ()) |
5164 | 5842 (*current_liboctave_error_handler) |
5843 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5844 else if (nr == 0 || b.cols () == 0) |
5845 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 5846 else |
5847 { | |
5848 // Print spparms("spumoni") info if requested | |
5506 | 5849 volatile int typ = mattype.type (); |
5164 | 5850 mattype.info (); |
5851 | |
5785 | 5852 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5853 { |
5506 | 5854 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5855 cholmod_common Common; |
07ebe522dac2
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diff
changeset
|
5856 cholmod_common *cm = &Common; |
07ebe522dac2
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diff
changeset
|
5857 |
07ebe522dac2
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diff
changeset
|
5858 // Setup initial parameters |
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diff
changeset
|
5859 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5860 cm->prefer_zomplex = false; |
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diff
changeset
|
5861 |
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diff
changeset
|
5862 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5863 if (spu == 0.) |
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diff
changeset
|
5864 { |
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diff
changeset
|
5865 cm->print = -1; |
07ebe522dac2
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diff
changeset
|
5866 cm->print_function = 0; |
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diff
changeset
|
5867 } |
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diff
changeset
|
5868 else |
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diff
changeset
|
5869 { |
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diff
changeset
|
5870 cm->print = static_cast<int> (spu) + 2; |
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diff
changeset
|
5871 cm->print_function =&SparseCholPrint; |
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diff
changeset
|
5872 } |
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diff
changeset
|
5873 |
07ebe522dac2
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changeset
|
5874 cm->error_handler = &SparseCholError; |
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untabify liboctave C++ sources
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diff
changeset
|
5875 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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diff
changeset
|
5876 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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changeset
|
5877 |
07ebe522dac2
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changeset
|
5878 cm->final_ll = true; |
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changeset
|
5879 |
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diff
changeset
|
5880 cholmod_sparse Astore; |
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diff
changeset
|
5881 cholmod_sparse *A = &Astore; |
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diff
changeset
|
5882 double dummy; |
07ebe522dac2
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changeset
|
5883 A->nrow = nr; |
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untabify liboctave C++ sources
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diff
changeset
|
5884 A->ncol = nc; |
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changeset
|
5885 |
07ebe522dac2
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diff
changeset
|
5886 A->p = cidx(); |
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changeset
|
5887 A->i = ridx(); |
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changeset
|
5888 A->nzmax = nnz(); |
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diff
changeset
|
5889 A->packed = true; |
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diff
changeset
|
5890 A->sorted = true; |
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diff
changeset
|
5891 A->nz = 0; |
5506 | 5892 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5893 A->itype = CHOLMOD_LONG; |
5506 | 5894 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5895 A->itype = CHOLMOD_INT; |
5506 | 5896 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5897 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5898 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5899 A->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5900 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5901 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5902 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5903 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5904 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5905 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5906 cholmod_sparse Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5907 cholmod_sparse *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5908 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5909 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5910 B->p = b.cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5911 B->i = b.ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5912 B->nzmax = b.nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5913 B->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5914 B->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5915 B->nz = 0; |
5506 | 5916 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5917 B->itype = CHOLMOD_LONG; |
5506 | 5918 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5919 B->itype = CHOLMOD_INT; |
5506 | 5920 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5921 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5922 B->stype = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5923 B->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5924 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5925 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5926 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5927 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5928 B->x = b.data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5929 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5930 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5931 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5932 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5933 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5934 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5935 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5936 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5937 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5938 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5939 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5940 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5941 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5942 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5943 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5944 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5945 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5946 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5947 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5948 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5949 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5950 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5951 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5952 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5953 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5954 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5955 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5956 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5957 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5958 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5959 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5960 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5961 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5962 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5963 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5964 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5965 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5966 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5967 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5968 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5969 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5970 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5971 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5972 retval = SparseComplexMatrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5973 (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5974 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5975 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5976 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5977 j <= static_cast<octave_idx_type>(X->ncol); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5978 retval.xcidx(j) = static_cast<octave_idx_type *>(X->p)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5979 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5980 j < static_cast<octave_idx_type>(X->nzmax); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5981 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5982 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5983 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5984 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5985 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5986 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5987 CHOLMOD_NAME(free_sparse) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5988 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5989 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5990 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5991 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5992 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5993 } |
5506 | 5994 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5995 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5996 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5997 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5998 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5999 typ = MatrixType::Full; |
5506 | 6000 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6001 } |
5164 | 6002 |
5785 | 6003 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6004 { |
5203 | 6005 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6006 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6007 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6008 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6009 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6010 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6011 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6012 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6013 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6014 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6015 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6016 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6017 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6018 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6019 const Complex *Ax = data (); |
5164 | 6020 |
5203 | 6021 #ifdef UMFPACK_SEPARATE_SPLIT |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
6022 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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untabify liboctave C++ sources
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|
6023 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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changeset
|
6024 for (octave_idx_type i = 0; i < b_nr; i++) |
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changeset
|
6025 Bz[i] = 0.; |
5203 | 6026 #else |
10314
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diff
changeset
|
6027 OCTAVE_LOCAL_BUFFER (Complex, Bz, b_nr); |
5203 | 6028 #endif |
5164 | 6029 |
10314
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|
6030 // Take a first guess that the number of non-zero terms |
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|
6031 // will be as many as in b |
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|
6032 octave_idx_type x_nz = b.nnz (); |
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|
6033 octave_idx_type ii = 0; |
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|
6034 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
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changeset
|
6035 |
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diff
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|
6036 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr); |
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|
6037 |
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diff
changeset
|
6038 retval.xcidx(0) = 0; |
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diff
changeset
|
6039 for (octave_idx_type j = 0; j < b_nc; j++) |
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diff
changeset
|
6040 { |
5164 | 6041 |
5203 | 6042 #ifdef UMFPACK_SEPARATE_SPLIT |
10314
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diff
changeset
|
6043 for (octave_idx_type i = 0; i < b_nr; i++) |
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diff
changeset
|
6044 Bx[i] = b.elem (i, j); |
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diff
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|
6045 |
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|
6046 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
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diff
changeset
|
6047 Ai, |
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diff
changeset
|
6048 reinterpret_cast<const double *> (Ax), |
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diff
changeset
|
6049 0, |
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diff
changeset
|
6050 reinterpret_cast<double *> (Xx), |
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diff
changeset
|
6051 0, |
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diff
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|
6052 Bx, Bz, Numeric, control, |
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diff
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|
6053 info); |
5203 | 6054 #else |
10314
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diff
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|
6055 for (octave_idx_type i = 0; i < b_nr; i++) |
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diff
changeset
|
6056 Bz[i] = b.elem (i, j); |
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diff
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|
6057 |
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|
6058 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, Ai, |
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|
6059 reinterpret_cast<const double *> (Ax), |
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diff
changeset
|
6060 0, |
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diff
changeset
|
6061 reinterpret_cast<double *> (Xx), |
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diff
changeset
|
6062 0, |
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changeset
|
6063 reinterpret_cast<double *> (Bz), |
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diff
changeset
|
6064 0, |
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diff
changeset
|
6065 Numeric, control, |
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diff
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|
6066 info); |
5203 | 6067 #endif |
10314
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|
6068 if (status < 0) |
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|
6069 { |
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|
6070 (*current_liboctave_error_handler) |
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|
6071 ("SparseComplexMatrix::solve solve failed"); |
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changeset
|
6072 |
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diff
changeset
|
6073 UMFPACK_ZNAME (report_status) (control, status); |
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diff
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|
6074 |
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diff
changeset
|
6075 err = -1; |
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diff
changeset
|
6076 |
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diff
changeset
|
6077 break; |
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diff
changeset
|
6078 } |
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changeset
|
6079 |
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changeset
|
6080 for (octave_idx_type i = 0; i < b_nr; i++) |
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|
6081 { |
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changeset
|
6082 Complex tmp = Xx[i]; |
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|
6083 if (tmp != 0.0) |
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diff
changeset
|
6084 { |
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diff
changeset
|
6085 if (ii == x_nz) |
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diff
changeset
|
6086 { |
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diff
changeset
|
6087 // Resize the sparse matrix |
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diff
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|
6088 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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|
6089 sz = (sz > 10 ? sz : 10) + x_nz; |
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diff
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|
6090 retval.change_capacity (sz); |
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untabify liboctave C++ sources
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diff
changeset
|
6091 x_nz = sz; |
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diff
changeset
|
6092 } |
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diff
changeset
|
6093 retval.xdata(ii) = tmp; |
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untabify liboctave C++ sources
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diff
changeset
|
6094 retval.xridx(ii++) = i; |
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diff
changeset
|
6095 } |
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diff
changeset
|
6096 } |
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diff
changeset
|
6097 retval.xcidx(j+1) = ii; |
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diff
changeset
|
6098 } |
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diff
changeset
|
6099 |
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diff
changeset
|
6100 retval.maybe_compress (); |
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diff
changeset
|
6101 |
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diff
changeset
|
6102 UMFPACK_ZNAME (report_info) (control, info); |
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|
6103 |
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diff
changeset
|
6104 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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|
6105 } |
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diff
changeset
|
6106 else |
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changeset
|
6107 mattype.mark_as_rectangular (); |
5681 | 6108 |
5203 | 6109 #else |
10314
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changeset
|
6110 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6111 #endif |
10314
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|
6112 } |
5785 | 6113 else if (typ != MatrixType::Hermitian) |
10314
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diff
changeset
|
6114 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6115 } |
6116 | |
6117 return retval; | |
6118 } | |
6119 | |
6120 ComplexMatrix | |
5785 | 6121 SparseComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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changeset
|
6122 octave_idx_type& err, double& rcond, |
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|
6123 solve_singularity_handler sing_handler, |
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diff
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|
6124 bool calc_cond) const |
5164 | 6125 { |
6126 ComplexMatrix retval; | |
6127 | |
5275 | 6128 octave_idx_type nr = rows (); |
6129 octave_idx_type nc = cols (); | |
5164 | 6130 err = 0; |
6131 | |
6924 | 6132 if (nr != nc || nr != b.rows ()) |
5164 | 6133 (*current_liboctave_error_handler) |
6134 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6135 else if (nr == 0 || b.cols () == 0) |
6136 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 6137 else |
6138 { | |
6139 // Print spparms("spumoni") info if requested | |
5506 | 6140 volatile int typ = mattype.type (); |
5164 | 6141 mattype.info (); |
6142 | |
5785 | 6143 if (typ == MatrixType::Hermitian) |
10314
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|
6144 { |
5506 | 6145 #ifdef HAVE_CHOLMOD |
10314
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|
6146 cholmod_common Common; |
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|
6147 cholmod_common *cm = &Common; |
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|
6148 |
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diff
changeset
|
6149 // Setup initial parameters |
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|
6150 CHOLMOD_NAME(start) (cm); |
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|
6151 cm->prefer_zomplex = false; |
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|
6152 |
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6153 double spu = octave_sparse_params::get_key ("spumoni"); |
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6154 if (spu == 0.) |
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changeset
|
6155 { |
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changeset
|
6156 cm->print = -1; |
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|
6157 cm->print_function = 0; |
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|
6158 } |
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changeset
|
6159 else |
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changeset
|
6160 { |
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|
6161 cm->print = static_cast<int> (spu) + 2; |
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|
6162 cm->print_function =&SparseCholPrint; |
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|
6163 } |
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changeset
|
6164 |
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|
6165 cm->error_handler = &SparseCholError; |
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6166 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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6167 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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|
6168 |
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6169 cm->final_ll = true; |
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|
6170 |
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|
6171 cholmod_sparse Astore; |
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|
6172 cholmod_sparse *A = &Astore; |
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|
6173 double dummy; |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6174 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6175 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6176 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6177 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6178 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6179 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6180 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6181 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6182 A->nz = 0; |
5506 | 6183 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6184 A->itype = CHOLMOD_LONG; |
5506 | 6185 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6186 A->itype = CHOLMOD_INT; |
5506 | 6187 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6188 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6189 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6190 A->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6191 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6192 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6193 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6194 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6195 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6196 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6197 cholmod_dense Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6198 cholmod_dense *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6199 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6200 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6201 B->d = B->nrow; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6202 B->nzmax = B->nrow * B->ncol; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6203 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6204 B->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6205 if (nc < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6206 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6207 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6208 // We won't alter it, honest :-) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6209 B->x = const_cast<Complex *>(b.fortran_vec()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6210 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6211 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6212 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6213 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6214 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6215 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6216 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6217 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6218 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6219 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6220 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6221 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6222 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6223 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6224 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6225 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6226 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6227 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6228 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6229 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6230 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6231 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6232 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6233 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6234 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6235 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6236 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6237 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6238 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6239 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6240 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6241 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6242 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6243 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6244 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6245 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6246 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6247 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6248 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6249 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6250 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6251 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6252 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6253 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6254 for (octave_idx_type j = 0; j < b.cols(); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6255 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6256 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6257 for (octave_idx_type i = 0; i < b.rows(); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6258 retval.xelem(i,j) = static_cast<Complex *>(X->x)[jr + i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6259 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6260 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6261 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6262 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6263 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6264 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6265 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6266 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6267 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6268 } |
5506 | 6269 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6270 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6271 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6272 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6273 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6274 typ = MatrixType::Full; |
5506 | 6275 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6276 } |
5164 | 6277 |
5785 | 6278 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6279 { |
5203 | 6280 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6281 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6282 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6283 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6284 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6285 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6286 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6287 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6288 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6289 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6290 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6291 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6292 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6293 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6294 const Complex *Ax = data (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6295 const Complex *Bx = b.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6296 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6297 retval.resize (b_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6298 Complex *Xx = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6299 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6300 for (octave_idx_type j = 0, iidx = 0; j < b_nc; j++, iidx += b_nr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6301 { |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6302 status = |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6303 UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, Ai, |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6304 reinterpret_cast<const double *> (Ax), |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6305 0, |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6306 reinterpret_cast<double *> (&Xx[iidx]), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6307 0, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6308 reinterpret_cast<const double *> (&Bx[iidx]), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
6309 0, Numeric, control, info); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6310 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6311 if (status < 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6312 { |
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untabify liboctave C++ sources
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diff
changeset
|
6313 (*current_liboctave_error_handler) |
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untabify liboctave C++ sources
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diff
changeset
|
6314 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6315 |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6316 UMFPACK_ZNAME (report_status) (control, status); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6317 |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6318 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6319 |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6320 break; |
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6321 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6322 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6323 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6324 UMFPACK_ZNAME (report_info) (control, info); |
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untabify liboctave C++ sources
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diff
changeset
|
6325 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6326 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6327 } |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6328 else |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6329 mattype.mark_as_rectangular (); |
5681 | 6330 |
5203 | 6331 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6332 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6333 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6334 } |
5785 | 6335 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6336 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6337 } |
6338 | |
6339 return retval; | |
6340 } | |
6341 | |
6342 SparseComplexMatrix | |
5785 | 6343 SparseComplexMatrix::fsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6344 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6345 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6346 bool calc_cond) const |
5164 | 6347 { |
6348 SparseComplexMatrix retval; | |
6349 | |
5275 | 6350 octave_idx_type nr = rows (); |
6351 octave_idx_type nc = cols (); | |
5164 | 6352 err = 0; |
6353 | |
6924 | 6354 if (nr != nc || nr != b.rows ()) |
5164 | 6355 (*current_liboctave_error_handler) |
6356 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6357 else if (nr == 0 || b.cols () == 0) |
6358 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 6359 else |
6360 { | |
6361 // Print spparms("spumoni") info if requested | |
5506 | 6362 volatile int typ = mattype.type (); |
5164 | 6363 mattype.info (); |
6364 | |
5785 | 6365 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6366 { |
5506 | 6367 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6368 cholmod_common Common; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6369 cholmod_common *cm = &Common; |
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untabify liboctave C++ sources
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diff
changeset
|
6370 |
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untabify liboctave C++ sources
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diff
changeset
|
6371 // Setup initial parameters |
07ebe522dac2
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diff
changeset
|
6372 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6373 cm->prefer_zomplex = false; |
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untabify liboctave C++ sources
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diff
changeset
|
6374 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6375 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6376 if (spu == 0.) |
07ebe522dac2
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10158
diff
changeset
|
6377 { |
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untabify liboctave C++ sources
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diff
changeset
|
6378 cm->print = -1; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6379 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6380 } |
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10158
diff
changeset
|
6381 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6382 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6383 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6384 cm->print_function =&SparseCholPrint; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6385 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6386 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6387 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6388 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6389 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6390 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6391 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6392 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6393 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6394 cholmod_sparse *A = &Astore; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6395 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6396 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6397 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6398 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6399 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6400 A->i = ridx(); |
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untabify liboctave C++ sources
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diff
changeset
|
6401 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6402 A->packed = true; |
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untabify liboctave C++ sources
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diff
changeset
|
6403 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6404 A->nz = 0; |
5506 | 6405 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6406 A->itype = CHOLMOD_LONG; |
5506 | 6407 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6408 A->itype = CHOLMOD_INT; |
5506 | 6409 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6410 A->dtype = CHOLMOD_DOUBLE; |
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untabify liboctave C++ sources
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diff
changeset
|
6411 A->stype = 1; |
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untabify liboctave C++ sources
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diff
changeset
|
6412 A->xtype = CHOLMOD_COMPLEX; |
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diff
changeset
|
6413 |
07ebe522dac2
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diff
changeset
|
6414 if (nr < 1) |
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untabify liboctave C++ sources
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diff
changeset
|
6415 A->x = &dummy; |
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diff
changeset
|
6416 else |
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diff
changeset
|
6417 A->x = data(); |
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changeset
|
6418 |
07ebe522dac2
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changeset
|
6419 cholmod_sparse Bstore; |
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diff
changeset
|
6420 cholmod_sparse *B = &Bstore; |
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changeset
|
6421 B->nrow = b.rows(); |
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changeset
|
6422 B->ncol = b.cols(); |
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changeset
|
6423 B->p = b.cidx(); |
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changeset
|
6424 B->i = b.ridx(); |
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changeset
|
6425 B->nzmax = b.nnz(); |
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changeset
|
6426 B->packed = true; |
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changeset
|
6427 B->sorted = true; |
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changeset
|
6428 B->nz = 0; |
5506 | 6429 #ifdef IDX_TYPE_LONG |
10314
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untabify liboctave C++ sources
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|
6430 B->itype = CHOLMOD_LONG; |
5506 | 6431 #else |
10314
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untabify liboctave C++ sources
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changeset
|
6432 B->itype = CHOLMOD_INT; |
5506 | 6433 #endif |
10314
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untabify liboctave C++ sources
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changeset
|
6434 B->dtype = CHOLMOD_DOUBLE; |
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changeset
|
6435 B->stype = 0; |
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changeset
|
6436 B->xtype = CHOLMOD_COMPLEX; |
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changeset
|
6437 |
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changeset
|
6438 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
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changeset
|
6439 B->x = &dummy; |
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changeset
|
6440 else |
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changeset
|
6441 B->x = b.data(); |
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changeset
|
6442 |
07ebe522dac2
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changeset
|
6443 cholmod_factor *L; |
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changeset
|
6444 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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changeset
|
6445 L = CHOLMOD_NAME(analyze) (A, cm); |
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untabify liboctave C++ sources
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changeset
|
6446 CHOLMOD_NAME(factorize) (A, L, cm); |
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changeset
|
6447 if (calc_cond) |
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changeset
|
6448 rcond = CHOLMOD_NAME(rcond)(L, cm); |
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changeset
|
6449 else |
07ebe522dac2
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diff
changeset
|
6450 rcond = 1.; |
07ebe522dac2
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diff
changeset
|
6451 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
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changeset
|
6452 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6453 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6454 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6455 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6456 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6457 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6458 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6459 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6460 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6461 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6462 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6463 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6464 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6465 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6466 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6467 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6468 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6469 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6470 mattype.mark_as_rectangular (); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6471 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6472 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6473 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6474 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6475 rcond); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6476 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6477 return retval; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6478 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6479 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6480 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6481 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6482 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6483 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6484 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6485 retval = SparseComplexMatrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6486 (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6487 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6488 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6489 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6490 j <= static_cast<octave_idx_type>(X->ncol); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6491 retval.xcidx(j) = static_cast<octave_idx_type *>(X->p)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6492 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6493 j < static_cast<octave_idx_type>(X->nzmax); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6494 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6495 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6496 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6497 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6498 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6499 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6500 CHOLMOD_NAME(free_sparse) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6501 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6502 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6503 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6504 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6505 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6506 } |
5506 | 6507 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6508 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6509 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6510 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6511 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6512 typ = MatrixType::Full; |
5506 | 6513 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6514 } |
5164 | 6515 |
5785 | 6516 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6517 { |
5203 | 6518 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6519 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6520 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6521 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6522 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6523 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6524 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6525 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6526 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6527 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6528 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6529 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6530 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6531 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6532 const Complex *Ax = data (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6533 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6534 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6535 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6536 // Take a first guess that the number of non-zero terms |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6537 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6538 octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6539 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6540 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6541 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6542 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6543 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6544 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6545 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6546 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6547 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6548 Bx[i] = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6549 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6550 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6551 Ai, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6552 reinterpret_cast<const double *> (Ax), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6553 0, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6554 reinterpret_cast<double *> (Xx), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6555 0, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6556 reinterpret_cast<double *> (Bx), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6557 0, Numeric, control, info); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6558 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6559 if (status < 0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6560 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6561 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6562 ("SparseComplexMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6563 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6564 UMFPACK_ZNAME (report_status) (control, status); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6565 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6566 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6567 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6568 break; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6569 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6570 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6571 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6572 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6573 Complex tmp = Xx[i]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6574 if (tmp != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6575 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6576 if (ii == x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6577 { |
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6578 // Resize the sparse matrix |
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6579 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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6580 sz = (sz > 10 ? sz : 10) + x_nz; |
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6581 retval.change_capacity (sz); |
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6582 x_nz = sz; |
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6583 } |
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6584 retval.xdata(ii) = tmp; |
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6585 retval.xridx(ii++) = i; |
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6586 } |
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6587 } |
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6588 retval.xcidx(j+1) = ii; |
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6589 } |
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6590 |
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6591 retval.maybe_compress (); |
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6592 |
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6593 rcond = Info (UMFPACK_RCOND); |
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6594 volatile double rcond_plus_one = rcond + 1.0; |
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6595 |
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6596 if (status == UMFPACK_WARNING_singular_matrix || |
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6597 rcond_plus_one == 1.0 || xisnan (rcond)) |
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6598 { |
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6599 err = -2; |
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|
6600 |
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6601 if (sing_handler) |
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6602 sing_handler (rcond); |
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6603 else |
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6604 (*current_liboctave_error_handler) |
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6605 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
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6606 rcond); |
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6607 |
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6608 } |
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6609 |
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6610 UMFPACK_ZNAME (report_info) (control, info); |
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6611 |
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6612 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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6613 } |
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6614 else |
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6615 mattype.mark_as_rectangular (); |
5681 | 6616 |
5203 | 6617 #else |
10314
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6618 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6619 #endif |
10314
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6620 } |
5785 | 6621 else if (typ != MatrixType::Hermitian) |
10314
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6622 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6623 } |
6624 | |
6625 return retval; | |
6626 } | |
6627 | |
6628 ComplexMatrix | |
5785 | 6629 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b) const |
5164 | 6630 { |
5275 | 6631 octave_idx_type info; |
5164 | 6632 double rcond; |
6633 return solve (mattype, b, info, rcond, 0); | |
6634 } | |
6635 | |
6636 ComplexMatrix | |
5785 | 6637 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
10314
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6638 octave_idx_type& info) const |
5164 | 6639 { |
6640 double rcond; | |
6641 return solve (mattype, b, info, rcond, 0); | |
6642 } | |
6643 | |
6644 ComplexMatrix | |
5785 | 6645 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
10314
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6646 octave_idx_type& info, double& rcond) const |
5164 | 6647 { |
6648 return solve (mattype, b, info, rcond, 0); | |
6649 } | |
6650 | |
6651 ComplexMatrix | |
5785 | 6652 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
10314
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6653 octave_idx_type& err, double& rcond, |
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6654 solve_singularity_handler sing_handler, |
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6655 bool singular_fallback) const |
5164 | 6656 { |
5681 | 6657 ComplexMatrix retval; |
5322 | 6658 int typ = mattype.type (false); |
5164 | 6659 |
5785 | 6660 if (typ == MatrixType::Unknown) |
5164 | 6661 typ = mattype.type (*this); |
6662 | |
5785 | 6663 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6664 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6665 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6666 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6667 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6668 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6669 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6670 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6671 else if (typ == MatrixType::Tridiagonal || |
10314
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6672 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6673 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6674 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6675 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6676 else if (typ != MatrixType::Rectangular) |
5164 | 6677 { |
5681 | 6678 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6679 return ComplexMatrix (); |
6680 } | |
5681 | 6681 |
5785 | 6682 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6683 { |
6684 rcond = 1.; | |
6685 #ifdef USE_QRSOLVE | |
6686 retval = qrsolve (*this, b, err); | |
6687 #else | |
6688 retval = dmsolve<ComplexMatrix, SparseComplexMatrix, | |
10314
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6689 Matrix> (*this, b, err); |
5681 | 6690 #endif |
6691 } | |
6692 | |
6693 return retval; | |
5164 | 6694 } |
6695 | |
6696 SparseComplexMatrix | |
5785 | 6697 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b) const |
5164 | 6698 { |
5275 | 6699 octave_idx_type info; |
5164 | 6700 double rcond; |
6701 return solve (mattype, b, info, rcond, 0); | |
6702 } | |
6703 | |
6704 SparseComplexMatrix | |
5785 | 6705 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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|
6706 octave_idx_type& info) const |
5164 | 6707 { |
6708 double rcond; | |
6709 return solve (mattype, b, info, rcond, 0); | |
6710 } | |
6711 | |
6712 SparseComplexMatrix | |
5785 | 6713 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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6714 octave_idx_type& info, double& rcond) const |
5164 | 6715 { |
6716 return solve (mattype, b, info, rcond, 0); | |
6717 } | |
6718 | |
6719 SparseComplexMatrix | |
5785 | 6720 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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6721 octave_idx_type& err, double& rcond, |
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6722 solve_singularity_handler sing_handler, |
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6723 bool singular_fallback) const |
5164 | 6724 { |
5681 | 6725 SparseComplexMatrix retval; |
5322 | 6726 int typ = mattype.type (false); |
5164 | 6727 |
5785 | 6728 if (typ == MatrixType::Unknown) |
5164 | 6729 typ = mattype.type (*this); |
6730 | |
5785 | 6731 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6732 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6733 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6734 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6735 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6736 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6737 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6738 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6739 else if (typ == MatrixType::Tridiagonal || |
10314
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6740 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6741 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6742 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6743 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6744 else if (typ != MatrixType::Rectangular) |
5164 | 6745 { |
5681 | 6746 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6747 return SparseComplexMatrix (); |
6748 } | |
5681 | 6749 |
5785 | 6750 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6751 { |
6752 rcond = 1.; | |
6753 #ifdef USE_QRSOLVE | |
6754 retval = qrsolve (*this, b, err); | |
6755 #else | |
6756 retval = dmsolve<SparseComplexMatrix, SparseComplexMatrix, | |
10314
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6757 SparseMatrix> (*this, b, err); |
5681 | 6758 #endif |
6759 } | |
6760 | |
6761 return retval; | |
5164 | 6762 } |
6763 | |
6764 ComplexMatrix | |
5785 | 6765 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b) const |
5164 | 6766 { |
5275 | 6767 octave_idx_type info; |
5164 | 6768 double rcond; |
6769 return solve (mattype, b, info, rcond, 0); | |
6770 } | |
6771 | |
6772 ComplexMatrix | |
5785 | 6773 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
6774 octave_idx_type& info) const |
5164 | 6775 { |
6776 double rcond; | |
6777 return solve (mattype, b, info, rcond, 0); | |
6778 } | |
6779 | |
6780 ComplexMatrix | |
5785 | 6781 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
6782 octave_idx_type& info, double& rcond) const |
5164 | 6783 { |
6784 return solve (mattype, b, info, rcond, 0); | |
6785 } | |
6786 | |
6787 ComplexMatrix | |
5785 | 6788 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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6789 octave_idx_type& err, double& rcond, |
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|
6790 solve_singularity_handler sing_handler, |
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|
6791 bool singular_fallback) const |
5164 | 6792 { |
5681 | 6793 ComplexMatrix retval; |
5322 | 6794 int typ = mattype.type (false); |
5164 | 6795 |
5785 | 6796 if (typ == MatrixType::Unknown) |
5164 | 6797 typ = mattype.type (*this); |
6798 | |
5785 | 6799 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6800 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6801 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6802 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6803 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6804 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6805 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6806 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6807 else if (typ == MatrixType::Tridiagonal || |
10314
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6808 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6809 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6810 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6811 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6812 else if (typ != MatrixType::Rectangular) |
5164 | 6813 { |
5681 | 6814 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6815 return ComplexMatrix (); |
6816 } | |
5681 | 6817 |
5785 | 6818 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6819 { |
6820 rcond = 1.; | |
6821 #ifdef USE_QRSOLVE | |
6822 retval = qrsolve (*this, b, err); | |
6823 #else | |
6824 retval = dmsolve<ComplexMatrix, SparseComplexMatrix, | |
10314
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6825 ComplexMatrix> (*this, b, err); |
5681 | 6826 #endif |
6827 } | |
6828 | |
6829 return retval; | |
5164 | 6830 } |
6831 | |
6832 SparseComplexMatrix | |
5785 | 6833 SparseComplexMatrix::solve (MatrixType &mattype, |
10314
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6834 const SparseComplexMatrix& b) const |
5164 | 6835 { |
5275 | 6836 octave_idx_type info; |
5164 | 6837 double rcond; |
6838 return solve (mattype, b, info, rcond, 0); | |
6839 } | |
6840 | |
6841 SparseComplexMatrix | |
5785 | 6842 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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6843 octave_idx_type& info) const |
5164 | 6844 { |
6845 double rcond; | |
6846 return solve (mattype, b, info, rcond, 0); | |
6847 } | |
6848 | |
6849 SparseComplexMatrix | |
5785 | 6850 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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|
6851 octave_idx_type& info, double& rcond) const |
5164 | 6852 { |
6853 return solve (mattype, b, info, rcond, 0); | |
6854 } | |
6855 | |
6856 SparseComplexMatrix | |
5785 | 6857 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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6858 octave_idx_type& err, double& rcond, |
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6859 solve_singularity_handler sing_handler, |
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|
6860 bool singular_fallback) const |
5164 | 6861 { |
5681 | 6862 SparseComplexMatrix retval; |
5322 | 6863 int typ = mattype.type (false); |
5164 | 6864 |
5785 | 6865 if (typ == MatrixType::Unknown) |
5164 | 6866 typ = mattype.type (*this); |
6867 | |
5785 | 6868 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6869 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6870 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6871 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6872 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6873 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6874 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6875 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6876 else if (typ == MatrixType::Tridiagonal || |
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6877 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6878 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6879 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6880 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6881 else if (typ != MatrixType::Rectangular) |
5164 | 6882 { |
5681 | 6883 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6884 return SparseComplexMatrix (); |
6885 } | |
5681 | 6886 |
5785 | 6887 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6888 { |
6889 rcond = 1.; | |
6890 #ifdef USE_QRSOLVE | |
6891 retval = qrsolve (*this, b, err); | |
6892 #else | |
6893 retval = dmsolve<SparseComplexMatrix, SparseComplexMatrix, | |
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6894 SparseComplexMatrix> (*this, b, err); |
5681 | 6895 #endif |
6896 } | |
6897 | |
6898 return retval; | |
5164 | 6899 } |
6900 | |
6901 ComplexColumnVector | |
5785 | 6902 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b) const |
5164 | 6903 { |
5275 | 6904 octave_idx_type info; double rcond; |
5164 | 6905 return solve (mattype, b, info, rcond); |
6906 } | |
6907 | |
6908 ComplexColumnVector | |
5785 | 6909 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
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6910 octave_idx_type& info) const |
5164 | 6911 { |
6912 double rcond; | |
6913 return solve (mattype, b, info, rcond); | |
6914 } | |
6915 | |
6916 ComplexColumnVector | |
5785 | 6917 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
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6918 octave_idx_type& info, double& rcond) const |
5164 | 6919 { |
6920 return solve (mattype, b, info, rcond, 0); | |
6921 } | |
6922 | |
6923 ComplexColumnVector | |
5785 | 6924 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
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|
6925 octave_idx_type& info, double& rcond, |
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|
6926 solve_singularity_handler sing_handler) const |
5164 | 6927 { |
6928 Matrix tmp (b); | |
5275 | 6929 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 6930 } |
6931 | |
6932 ComplexColumnVector | |
5785 | 6933 SparseComplexMatrix::solve (MatrixType &mattype, |
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6934 const ComplexColumnVector& b) const |
5164 | 6935 { |
5275 | 6936 octave_idx_type info; |
5164 | 6937 double rcond; |
6938 return solve (mattype, b, info, rcond, 0); | |
6939 } | |
6940 | |
6941 ComplexColumnVector | |
5785 | 6942 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
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6943 octave_idx_type& info) const |
5164 | 6944 { |
6945 double rcond; | |
6946 return solve (mattype, b, info, rcond, 0); | |
6947 } | |
6948 | |
6949 ComplexColumnVector | |
5785 | 6950 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
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6951 octave_idx_type& info, double& rcond) const |
5164 | 6952 { |
6953 return solve (mattype, b, info, rcond, 0); | |
6954 } | |
6955 | |
6956 ComplexColumnVector | |
5785 | 6957 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
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|
6958 octave_idx_type& info, double& rcond, |
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6959 solve_singularity_handler sing_handler) const |
5164 | 6960 { |
6961 ComplexMatrix tmp (b); | |
5275 | 6962 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 6963 } |
6964 | |
6965 ComplexMatrix | |
6966 SparseComplexMatrix::solve (const Matrix& b) const | |
6967 { | |
5275 | 6968 octave_idx_type info; |
5164 | 6969 double rcond; |
6970 return solve (b, info, rcond, 0); | |
6971 } | |
6972 | |
6973 ComplexMatrix | |
5275 | 6974 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
5164 | 6975 { |
6976 double rcond; | |
6977 return solve (b, info, rcond, 0); | |
6978 } | |
6979 | |
6980 ComplexMatrix | |
5275 | 6981 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& info, |
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6982 double& rcond) const |
5164 | 6983 { |
6984 return solve (b, info, rcond, 0); | |
6985 } | |
6986 | |
6987 ComplexMatrix | |
5275 | 6988 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& err, |
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|
6989 double& rcond, |
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6990 solve_singularity_handler sing_handler) const |
5164 | 6991 { |
5785 | 6992 MatrixType mattype (*this); |
5164 | 6993 return solve (mattype, b, err, rcond, sing_handler); |
6994 } | |
6995 | |
6996 SparseComplexMatrix | |
6997 SparseComplexMatrix::solve (const SparseMatrix& b) const | |
6998 { | |
5275 | 6999 octave_idx_type info; |
5164 | 7000 double rcond; |
7001 return solve (b, info, rcond, 0); | |
7002 } | |
7003 | |
7004 SparseComplexMatrix | |
7005 SparseComplexMatrix::solve (const SparseMatrix& b, | |
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|
7006 octave_idx_type& info) const |
5164 | 7007 { |
7008 double rcond; | |
7009 return solve (b, info, rcond, 0); | |
7010 } | |
7011 | |
7012 SparseComplexMatrix | |
7013 SparseComplexMatrix::solve (const SparseMatrix& b, | |
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7014 octave_idx_type& info, double& rcond) const |
5164 | 7015 { |
7016 return solve (b, info, rcond, 0); | |
7017 } | |
7018 | |
7019 SparseComplexMatrix | |
7020 SparseComplexMatrix::solve (const SparseMatrix& b, | |
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|
7021 octave_idx_type& err, double& rcond, |
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|
7022 solve_singularity_handler sing_handler) const |
5164 | 7023 { |
5785 | 7024 MatrixType mattype (*this); |
5164 | 7025 return solve (mattype, b, err, rcond, sing_handler); |
7026 } | |
7027 | |
7028 ComplexMatrix | |
7029 SparseComplexMatrix::solve (const ComplexMatrix& b, | |
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7030 octave_idx_type& info) const |
5164 | 7031 { |
7032 double rcond; | |
7033 return solve (b, info, rcond, 0); | |
7034 } | |
7035 | |
7036 ComplexMatrix | |
7037 SparseComplexMatrix::solve (const ComplexMatrix& b, | |
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7038 octave_idx_type& info, double& rcond) const |
5164 | 7039 { |
7040 return solve (b, info, rcond, 0); | |
7041 } | |
7042 | |
7043 ComplexMatrix | |
7044 SparseComplexMatrix::solve (const ComplexMatrix& b, | |
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|
7045 octave_idx_type& err, double& rcond, |
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7046 solve_singularity_handler sing_handler) const |
5164 | 7047 { |
5785 | 7048 MatrixType mattype (*this); |
5164 | 7049 return solve (mattype, b, err, rcond, sing_handler); |
7050 } | |
7051 | |
7052 SparseComplexMatrix | |
7053 SparseComplexMatrix::solve (const SparseComplexMatrix& b) const | |
7054 { | |
5275 | 7055 octave_idx_type info; |
5164 | 7056 double rcond; |
7057 return solve (b, info, rcond, 0); | |
7058 } | |
7059 | |
7060 SparseComplexMatrix | |
7061 SparseComplexMatrix::solve (const SparseComplexMatrix& b, | |
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7062 octave_idx_type& info) const |
5164 | 7063 { |
7064 double rcond; | |
7065 return solve (b, info, rcond, 0); | |
7066 } | |
7067 | |
7068 SparseComplexMatrix | |
7069 SparseComplexMatrix::solve (const SparseComplexMatrix& b, | |
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7070 octave_idx_type& info, double& rcond) const |
5164 | 7071 { |
7072 return solve (b, info, rcond, 0); | |
7073 } | |
7074 | |
7075 SparseComplexMatrix | |
7076 SparseComplexMatrix::solve (const SparseComplexMatrix& b, | |
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|
7077 octave_idx_type& err, double& rcond, |
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|
7078 solve_singularity_handler sing_handler) const |
5164 | 7079 { |
5785 | 7080 MatrixType mattype (*this); |
5164 | 7081 return solve (mattype, b, err, rcond, sing_handler); |
7082 } | |
7083 | |
7084 ComplexColumnVector | |
7085 SparseComplexMatrix::solve (const ColumnVector& b) const | |
7086 { | |
5275 | 7087 octave_idx_type info; double rcond; |
5164 | 7088 return solve (b, info, rcond); |
7089 } | |
7090 | |
7091 ComplexColumnVector | |
5275 | 7092 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
5164 | 7093 { |
7094 double rcond; | |
7095 return solve (b, info, rcond); | |
7096 } | |
7097 | |
7098 ComplexColumnVector | |
5275 | 7099 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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|
7100 double& rcond) const |
5164 | 7101 { |
7102 return solve (b, info, rcond, 0); | |
7103 } | |
7104 | |
7105 ComplexColumnVector | |
5275 | 7106 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
10314
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|
7107 solve_singularity_handler sing_handler) const |
5164 | 7108 { |
7109 Matrix tmp (b); | |
5275 | 7110 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7111 } |
7112 | |
7113 ComplexColumnVector | |
7114 SparseComplexMatrix::solve (const ComplexColumnVector& b) const | |
7115 { | |
5275 | 7116 octave_idx_type info; |
5164 | 7117 double rcond; |
7118 return solve (b, info, rcond, 0); | |
7119 } | |
7120 | |
7121 ComplexColumnVector | |
5275 | 7122 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
5164 | 7123 { |
7124 double rcond; | |
7125 return solve (b, info, rcond, 0); | |
7126 } | |
7127 | |
7128 ComplexColumnVector | |
5275 | 7129 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
10314
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|
7130 double& rcond) const |
5164 | 7131 { |
7132 return solve (b, info, rcond, 0); | |
7133 } | |
7134 | |
7135 ComplexColumnVector | |
5275 | 7136 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
10314
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|
7137 double& rcond, |
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|
7138 solve_singularity_handler sing_handler) const |
5164 | 7139 { |
7140 ComplexMatrix tmp (b); | |
5275 | 7141 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7142 } |
7143 | |
7144 // unary operations | |
7145 SparseBoolMatrix | |
7146 SparseComplexMatrix::operator ! (void) const | |
7147 { | |
11130
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consistently give error for operator not applied to NaN values
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|
7148 if (any_element_is_nan ()) |
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|
7149 gripe_nan_to_logical_conversion (); |
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|
7150 |
5275 | 7151 octave_idx_type nr = rows (); |
7152 octave_idx_type nc = cols (); | |
5681 | 7153 octave_idx_type nz1 = nnz (); |
5275 | 7154 octave_idx_type nz2 = nr*nc - nz1; |
5164 | 7155 |
7156 SparseBoolMatrix r (nr, nc, nz2); | |
7157 | |
5275 | 7158 octave_idx_type ii = 0; |
7159 octave_idx_type jj = 0; | |
5164 | 7160 r.cidx (0) = 0; |
5275 | 7161 for (octave_idx_type i = 0; i < nc; i++) |
5164 | 7162 { |
5275 | 7163 for (octave_idx_type j = 0; j < nr; j++) |
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|
7164 { |
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|
7165 if (jj < cidx(i+1) && ridx(jj) == j) |
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|
7166 jj++; |
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|
7167 else |
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|
7168 { |
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|
7169 r.data(ii) = true; |
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|
7170 r.ridx(ii++) = j; |
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|
7171 } |
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7172 } |
5164 | 7173 r.cidx (i+1) = ii; |
7174 } | |
7175 | |
7176 return r; | |
7177 } | |
7178 | |
7179 SparseComplexMatrix | |
7180 SparseComplexMatrix::squeeze (void) const | |
7181 { | |
7182 return MSparse<Complex>::squeeze (); | |
7183 } | |
7184 | |
7185 SparseComplexMatrix | |
7186 SparseComplexMatrix::reshape (const dim_vector& new_dims) const | |
7187 { | |
7188 return MSparse<Complex>::reshape (new_dims); | |
7189 } | |
7190 | |
7191 SparseComplexMatrix | |
5275 | 7192 SparseComplexMatrix::permute (const Array<octave_idx_type>& vec, bool inv) const |
5164 | 7193 { |
7194 return MSparse<Complex>::permute (vec, inv); | |
7195 } | |
7196 | |
7197 SparseComplexMatrix | |
5275 | 7198 SparseComplexMatrix::ipermute (const Array<octave_idx_type>& vec) const |
5164 | 7199 { |
7200 return MSparse<Complex>::ipermute (vec); | |
7201 } | |
7202 | |
7203 // other operations | |
7204 | |
7205 bool | |
7922
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error for NaN values in & and | expressions
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|
7206 SparseComplexMatrix::any_element_is_nan (void) const |
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|
7207 { |
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|
7208 octave_idx_type nel = nnz (); |
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|
7209 |
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|
7210 for (octave_idx_type i = 0; i < nel; i++) |
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|
7211 { |
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|
7212 Complex val = data (i); |
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|
7213 if (xisnan (val)) |
10314
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|
7214 return true; |
7922
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|
7215 } |
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|
7216 |
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|
7217 return false; |
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|
7218 } |
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|
7219 |
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|
7220 bool |
5164 | 7221 SparseComplexMatrix::any_element_is_inf_or_nan (void) const |
7222 { | |
5681 | 7223 octave_idx_type nel = nnz (); |
5275 | 7224 |
7225 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7226 { |
7227 Complex val = data (i); | |
7228 if (xisinf (val) || xisnan (val)) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7229 return true; |
5164 | 7230 } |
7231 | |
7232 return false; | |
7233 } | |
7234 | |
7235 // Return true if no elements have imaginary components. | |
7236 | |
7237 bool | |
7238 SparseComplexMatrix::all_elements_are_real (void) const | |
7239 { | |
9825
7483fe200fab
narrow complex values with negative zero imaginary parts
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7240 return mx_inline_all_real (nnz (), data ()); |
5164 | 7241 } |
7242 | |
7243 // Return nonzero if any element of CM has a non-integer real or | |
7244 // imaginary part. Also extract the largest and smallest (real or | |
7245 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
7246 | |
7247 bool | |
7248 SparseComplexMatrix::all_integers (double& max_val, double& min_val) const | |
7249 { | |
5681 | 7250 octave_idx_type nel = nnz (); |
5164 | 7251 |
7252 if (nel == 0) | |
7253 return false; | |
7254 | |
5261 | 7255 max_val = std::real(data (0)); |
7256 min_val = std::real(data (0)); | |
5164 | 7257 |
5275 | 7258 for (octave_idx_type i = 0; i < nel; i++) |
5164 | 7259 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7260 Complex val = data (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7261 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7262 double r_val = std::real (val); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7263 double i_val = std::imag (val); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7264 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7265 if (r_val > max_val) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7266 max_val = r_val; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7267 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7268 if (i_val > max_val) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7269 max_val = i_val; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7270 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7271 if (r_val < min_val) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7272 min_val = r_val; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7273 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7274 if (i_val < min_val) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7275 min_val = i_val; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7276 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7277 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7278 return false; |
5164 | 7279 } |
7280 | |
7281 return true; | |
7282 } | |
7283 | |
7284 bool | |
7285 SparseComplexMatrix::too_large_for_float (void) const | |
7286 { | |
5681 | 7287 octave_idx_type nel = nnz (); |
5275 | 7288 |
7289 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7290 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7291 Complex val = data (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7292 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7293 double r_val = std::real (val); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7294 double i_val = std::imag (val); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7295 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7296 if (r_val > FLT_MAX |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7297 || i_val > FLT_MAX |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7298 || r_val < FLT_MIN |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7299 || i_val < FLT_MIN) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7300 return true; |
5164 | 7301 } |
7302 | |
7303 return false; | |
7304 } | |
7305 | |
5775 | 7306 // FIXME Do these really belong here? Maybe they should be |
5164 | 7307 // in a base class? |
7308 | |
7309 SparseBoolMatrix | |
7310 SparseComplexMatrix::all (int dim) const | |
7311 { | |
7312 SPARSE_ALL_OP (dim); | |
7313 } | |
7314 | |
7315 SparseBoolMatrix | |
7316 SparseComplexMatrix::any (int dim) const | |
7317 { | |
7318 SPARSE_ANY_OP (dim); | |
7319 } | |
7320 | |
7321 SparseComplexMatrix | |
7322 SparseComplexMatrix::cumprod (int dim) const | |
7323 { | |
7324 SPARSE_CUMPROD (SparseComplexMatrix, Complex, cumprod); | |
7325 } | |
7326 | |
7327 SparseComplexMatrix | |
7328 SparseComplexMatrix::cumsum (int dim) const | |
7329 { | |
7330 SPARSE_CUMSUM (SparseComplexMatrix, Complex, cumsum); | |
7331 } | |
7332 | |
7333 SparseComplexMatrix | |
7334 SparseComplexMatrix::prod (int dim) const | |
7335 { | |
7269 | 7336 if ((rows() == 1 && dim == -1) || dim == 1) |
7337 return transpose (). prod (0). transpose(); | |
7338 else | |
7339 { | |
7340 SPARSE_REDUCTION_OP (SparseComplexMatrix, Complex, *=, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7341 (cidx(j+1) - cidx(j) < nr ? 0.0 : 1.0), 1.0); |
7269 | 7342 } |
5164 | 7343 } |
7344 | |
7345 SparseComplexMatrix | |
7346 SparseComplexMatrix::sum (int dim) const | |
7347 { | |
7348 SPARSE_REDUCTION_OP (SparseComplexMatrix, Complex, +=, 0.0, 0.0); | |
7349 } | |
7350 | |
7351 SparseComplexMatrix | |
7352 SparseComplexMatrix::sumsq (int dim) const | |
7353 { | |
7354 #define ROW_EXPR \ | |
7269 | 7355 Complex d = data (i); \ |
7356 tmp [ridx(i)] += d * conj (d) | |
5164 | 7357 |
7358 #define COL_EXPR \ | |
7269 | 7359 Complex d = data (i); \ |
5164 | 7360 tmp [j] += d * conj (d) |
7361 | |
7362 SPARSE_BASE_REDUCTION_OP (SparseComplexMatrix, Complex, ROW_EXPR, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7363 COL_EXPR, 0.0, 0.0); |
5164 | 7364 |
7365 #undef ROW_EXPR | |
7366 #undef COL_EXPR | |
7367 } | |
7368 | |
7369 SparseMatrix SparseComplexMatrix::abs (void) const | |
7370 { | |
5681 | 7371 octave_idx_type nz = nnz (); |
5275 | 7372 octave_idx_type nc = cols (); |
5164 | 7373 |
7374 SparseMatrix retval (rows(), nc, nz); | |
7375 | |
5275 | 7376 for (octave_idx_type i = 0; i < nc + 1; i++) |
5164 | 7377 retval.cidx (i) = cidx (i); |
7378 | |
5275 | 7379 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 7380 { |
5261 | 7381 retval.data (i) = std::abs (data (i)); |
5164 | 7382 retval.ridx (i) = ridx (i); |
7383 } | |
7384 | |
7385 return retval; | |
7386 } | |
7387 | |
7388 SparseComplexMatrix | |
5275 | 7389 SparseComplexMatrix::diag (octave_idx_type k) const |
5164 | 7390 { |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7602
diff
changeset
|
7391 return MSparse<Complex>::diag (k); |
5164 | 7392 } |
7393 | |
7394 std::ostream& | |
7395 operator << (std::ostream& os, const SparseComplexMatrix& a) | |
7396 { | |
5275 | 7397 octave_idx_type nc = a.cols (); |
5164 | 7398 |
7399 // add one to the printed indices to go from | |
7400 // zero-based to one-based arrays | |
10550 | 7401 for (octave_idx_type j = 0; j < nc; j++) |
7402 { | |
7403 octave_quit (); | |
7404 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) | |
7405 { | |
7406 os << a.ridx(i) + 1 << " " << j + 1 << " "; | |
7407 octave_write_complex (os, a.data(i)); | |
7408 os << "\n"; | |
7409 } | |
7410 } | |
5164 | 7411 |
7412 return os; | |
7413 } | |
7414 | |
7415 std::istream& | |
7416 operator >> (std::istream& is, SparseComplexMatrix& a) | |
7417 { | |
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7418 typedef SparseComplexMatrix::element_type elt_type; |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7419 |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7420 return read_sparse_matrix<elt_type> (is, a, octave_read_value<Complex>); |
5164 | 7421 } |
7422 | |
7423 SparseComplexMatrix | |
7424 operator * (const SparseComplexMatrix& m, const SparseMatrix& a) | |
7425 { | |
5681 | 7426 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, double); |
5164 | 7427 } |
7428 | |
7429 SparseComplexMatrix | |
7430 operator * (const SparseMatrix& m, const SparseComplexMatrix& a) | |
7431 { | |
5681 | 7432 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, Complex); |
5164 | 7433 } |
7434 | |
7435 SparseComplexMatrix | |
7436 operator * (const SparseComplexMatrix& m, const SparseComplexMatrix& a) | |
7437 { | |
5681 | 7438 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, Complex); |
5164 | 7439 } |
7440 | |
5429 | 7441 ComplexMatrix |
7442 operator * (const ComplexMatrix& m, const SparseMatrix& a) | |
7443 { | |
5681 | 7444 FULL_SPARSE_MUL (ComplexMatrix, double, Complex (0.,0.)); |
5429 | 7445 } |
7446 | |
7447 ComplexMatrix | |
7448 operator * (const Matrix& m, const SparseComplexMatrix& a) | |
7449 { | |
5681 | 7450 FULL_SPARSE_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
5429 | 7451 } |
7452 | |
7453 ComplexMatrix | |
7454 operator * (const ComplexMatrix& m, const SparseComplexMatrix& a) | |
7455 { | |
5681 | 7456 FULL_SPARSE_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
5429 | 7457 } |
7458 | |
7459 ComplexMatrix | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7460 mul_trans (const ComplexMatrix& m, const SparseComplexMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7461 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7462 FULL_SPARSE_MUL_TRANS (ComplexMatrix, Complex, Complex (0.,0.), ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7463 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7464 |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7465 ComplexMatrix |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7466 mul_herm (const ComplexMatrix& m, const SparseComplexMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7467 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7468 FULL_SPARSE_MUL_TRANS (ComplexMatrix, Complex, Complex (0.,0.), conj); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7469 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7470 |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7471 ComplexMatrix |
5429 | 7472 operator * (const SparseComplexMatrix& m, const Matrix& a) |
7473 { | |
5681 | 7474 SPARSE_FULL_MUL (ComplexMatrix, double, Complex (0.,0.)); |
5429 | 7475 } |
7476 | |
7477 ComplexMatrix | |
7478 operator * (const SparseMatrix& m, const ComplexMatrix& a) | |
7479 { | |
5681 | 7480 SPARSE_FULL_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
5429 | 7481 } |
7482 | |
7483 ComplexMatrix | |
7484 operator * (const SparseComplexMatrix& m, const ComplexMatrix& a) | |
7485 { | |
5681 | 7486 SPARSE_FULL_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
5429 | 7487 } |
7488 | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7489 ComplexMatrix |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7490 trans_mul (const SparseComplexMatrix& m, const ComplexMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7491 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7492 SPARSE_FULL_TRANS_MUL (ComplexMatrix, Complex, Complex (0.,0.), ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7493 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7494 |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7495 ComplexMatrix |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7496 herm_mul (const SparseComplexMatrix& m, const ComplexMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7497 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7498 SPARSE_FULL_TRANS_MUL (ComplexMatrix, Complex, Complex (0.,0.), conj); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7499 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7500 |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7501 // diag * sparse and sparse * diag |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7502 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7503 operator * (const DiagMatrix& d, const SparseComplexMatrix& a) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7504 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7505 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7506 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7507 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7508 operator * (const SparseComplexMatrix& a, const DiagMatrix& d) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7509 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7510 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7511 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7512 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7513 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7514 operator * (const ComplexDiagMatrix& d, const SparseMatrix& a) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7515 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7516 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7517 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7518 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7519 operator * (const SparseMatrix& a, const ComplexDiagMatrix& d) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7520 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7521 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7522 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7523 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7524 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7525 operator * (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7526 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7527 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7528 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7529 SparseComplexMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7530 operator * (const SparseComplexMatrix& a, const ComplexDiagMatrix& d) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7531 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7532 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7533 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7534 |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7535 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7536 operator + (const ComplexDiagMatrix& d, const SparseMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7537 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7538 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7539 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7540 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7541 operator + (const DiagMatrix& d, const SparseComplexMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7542 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7543 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7544 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7545 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7546 operator + (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7547 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7548 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7549 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7550 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7551 operator + (const SparseMatrix& a, const ComplexDiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7552 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7553 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7554 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7555 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7556 operator + (const SparseComplexMatrix& a, const DiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7557 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7558 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7559 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7560 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7561 operator + (const SparseComplexMatrix&a, const ComplexDiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7562 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7563 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7564 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7565 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7566 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7567 operator - (const ComplexDiagMatrix& d, const SparseMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7568 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7569 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7570 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7571 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7572 operator - (const DiagMatrix& d, const SparseComplexMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7573 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7574 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7575 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7576 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7577 operator - (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7578 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7579 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7580 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7581 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7582 operator - (const SparseMatrix& a, const ComplexDiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7583 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7584 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7585 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7586 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7587 operator - (const SparseComplexMatrix& a, const DiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7588 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7589 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7590 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7591 SparseComplexMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7592 operator - (const SparseComplexMatrix&a, const ComplexDiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7593 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7594 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7595 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7596 |
8968
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7597 // perm * sparse and sparse * perm |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7598 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7599 SparseComplexMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7600 operator * (const PermMatrix& p, const SparseComplexMatrix& a) |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7601 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7602 return octinternal_do_mul_pm_sm (p, a); |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7603 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7604 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7605 SparseComplexMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7606 operator * (const SparseComplexMatrix& a, const PermMatrix& p) |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7607 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7608 return octinternal_do_mul_sm_pm (a, p); |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7609 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7610 |
5775 | 7611 // FIXME -- it would be nice to share code among the min/max |
5164 | 7612 // functions below. |
7613 | |
7614 #define EMPTY_RETURN_CHECK(T) \ | |
7615 if (nr == 0 || nc == 0) \ | |
7616 return T (nr, nc); | |
7617 | |
7618 SparseComplexMatrix | |
7619 min (const Complex& c, const SparseComplexMatrix& m) | |
7620 { | |
7621 SparseComplexMatrix result; | |
7622 | |
5275 | 7623 octave_idx_type nr = m.rows (); |
7624 octave_idx_type nc = m.columns (); | |
5164 | 7625 |
7626 EMPTY_RETURN_CHECK (SparseComplexMatrix); | |
7627 | |
7628 if (abs(c) == 0.) | |
7629 return SparseComplexMatrix (nr, nc); | |
7630 else | |
7631 { | |
7632 result = SparseComplexMatrix (m); | |
7633 | |
5275 | 7634 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7635 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7636 result.data(i) = xmin(c, m.data(i)); |
5164 | 7637 } |
7638 | |
7639 return result; | |
7640 } | |
7641 | |
7642 SparseComplexMatrix | |
7643 min (const SparseComplexMatrix& m, const Complex& c) | |
7644 { | |
7645 return min (c, m); | |
7646 } | |
7647 | |
7648 SparseComplexMatrix | |
7649 min (const SparseComplexMatrix& a, const SparseComplexMatrix& b) | |
7650 { | |
7651 SparseComplexMatrix r; | |
7652 | |
7653 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7654 { | |
5275 | 7655 octave_idx_type a_nr = a.rows (); |
7656 octave_idx_type a_nc = a.cols (); | |
7657 | |
7658 octave_idx_type b_nr = b.rows (); | |
7659 octave_idx_type b_nc = b.cols (); | |
5164 | 7660 |
5681 | 7661 if (a_nr == 0 || b_nc == 0 || a.nnz () == 0 || b.nnz () == 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7662 return SparseComplexMatrix (a_nr, a_nc); |
5164 | 7663 |
7664 if (a_nr != b_nr || a_nc != b_nc) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7665 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7666 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7667 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7668 r = SparseComplexMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7669 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7670 octave_idx_type jx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7671 r.cidx (0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7672 for (octave_idx_type i = 0 ; i < a_nc ; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7673 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7674 octave_idx_type ja = a.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7675 octave_idx_type ja_max = a.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7676 bool ja_lt_max= ja < ja_max; |
5164 | 7677 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7678 octave_idx_type jb = b.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7679 octave_idx_type jb_max = b.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7680 bool jb_lt_max = jb < jb_max; |
5164 | 7681 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7682 while (ja_lt_max || jb_lt_max ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7683 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7684 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7685 if ((! jb_lt_max) || |
5164 | 7686 (ja_lt_max && (a.ridx(ja) < b.ridx(jb)))) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7687 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7688 Complex tmp = xmin (a.data(ja), 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7689 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7690 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7691 r.ridx(jx) = a.ridx(ja); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7692 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7693 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7694 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7695 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7696 ja_lt_max= ja < ja_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7697 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7698 else if (( !ja_lt_max ) || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7699 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7700 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7701 Complex tmp = xmin (0., b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7702 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7703 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7704 r.ridx(jx) = b.ridx(jb); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7705 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7706 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7707 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7708 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7709 jb_lt_max= jb < jb_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7710 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7711 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7712 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7713 Complex tmp = xmin (a.data(ja), b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7714 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7715 { |
5164 | 7716 r.data(jx) = tmp; |
7717 r.ridx(jx) = a.ridx(ja); | |
7718 jx++; | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7719 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7720 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7721 ja_lt_max= ja < ja_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7722 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7723 jb_lt_max= jb < jb_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7724 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7725 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7726 r.cidx(i+1) = jx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7727 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7728 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7729 r.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7730 } |
5164 | 7731 } |
7732 else | |
7733 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
7734 | |
7735 return r; | |
7736 } | |
7737 | |
7738 SparseComplexMatrix | |
7739 max (const Complex& c, const SparseComplexMatrix& m) | |
7740 { | |
7741 SparseComplexMatrix result; | |
7742 | |
5275 | 7743 octave_idx_type nr = m.rows (); |
7744 octave_idx_type nc = m.columns (); | |
5164 | 7745 |
7746 EMPTY_RETURN_CHECK (SparseComplexMatrix); | |
7747 | |
7748 // Count the number of non-zero elements | |
7749 if (xmax(c, 0.) != 0.) | |
7750 { | |
7751 result = SparseComplexMatrix (nr, nc, c); | |
5275 | 7752 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7753 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7754 result.xdata(m.ridx(i) + j * nr) = xmax (c, m.data(i)); |
5164 | 7755 } |
7756 else | |
7757 result = SparseComplexMatrix (m); | |
7758 | |
7759 return result; | |
7760 } | |
7761 | |
7762 SparseComplexMatrix | |
7763 max (const SparseComplexMatrix& m, const Complex& c) | |
7764 { | |
7765 return max (c, m); | |
7766 } | |
7767 | |
7768 SparseComplexMatrix | |
7769 max (const SparseComplexMatrix& a, const SparseComplexMatrix& b) | |
7770 { | |
7771 SparseComplexMatrix r; | |
7772 | |
7773 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7774 { | |
5275 | 7775 octave_idx_type a_nr = a.rows (); |
7776 octave_idx_type a_nc = a.cols (); | |
7777 | |
7778 octave_idx_type b_nr = b.rows (); | |
7779 octave_idx_type b_nc = b.cols (); | |
5164 | 7780 |
7781 if (a_nr == 0 || b_nc == 0) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7782 return SparseComplexMatrix (a_nr, a_nc); |
5681 | 7783 if (a.nnz () == 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7784 return SparseComplexMatrix (b); |
5681 | 7785 if (b.nnz () == 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7786 return SparseComplexMatrix (a); |
5164 | 7787 |
7788 if (a_nr != b_nr || a_nc != b_nc) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7789 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7790 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7791 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7792 r = SparseComplexMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7793 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7794 octave_idx_type jx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7795 r.cidx (0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7796 for (octave_idx_type i = 0 ; i < a_nc ; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7797 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7798 octave_idx_type ja = a.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7799 octave_idx_type ja_max = a.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7800 bool ja_lt_max= ja < ja_max; |
5164 | 7801 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7802 octave_idx_type jb = b.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7803 octave_idx_type jb_max = b.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7804 bool jb_lt_max = jb < jb_max; |
5164 | 7805 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7806 while (ja_lt_max || jb_lt_max ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7807 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7808 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7809 if ((! jb_lt_max) || |
5164 | 7810 (ja_lt_max && (a.ridx(ja) < b.ridx(jb)))) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7811 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7812 Complex tmp = xmax (a.data(ja), 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7813 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7814 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7815 r.ridx(jx) = a.ridx(ja); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7816 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
7817 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7818 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7819 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7820 ja_lt_max= ja < ja_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7821 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7822 else if (( !ja_lt_max ) || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7823 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7824 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7825 Complex tmp = xmax (0., b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7826 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7827 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7828 r.ridx(jx) = b.ridx(jb); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
7829 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7830 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7831 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7832 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7833 jb_lt_max= jb < jb_max; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
7834 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7835 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7836 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7837 Complex tmp = xmax (a.data(ja), b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
7838 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7839 { |
5164 | 7840 r.data(jx) = tmp; |
7841 r.ridx(jx) = a.ridx(ja); | |
7842 jx++; | |
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7843 } |
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7844 ja++; |
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7845 ja_lt_max= ja < ja_max; |
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7846 jb++; |
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7847 jb_lt_max= jb < jb_max; |
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7848 } |
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7849 } |
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7850 r.cidx(i+1) = jx; |
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7851 } |
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7852 |
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7853 r.maybe_compress (); |
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7854 } |
5164 | 7855 } |
7856 else | |
7857 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
7858 | |
7859 return r; | |
7860 } | |
7861 | |
7862 SPARSE_SMS_CMP_OPS (SparseComplexMatrix, 0.0, real, Complex, | |
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7863 0.0, real) |
5164 | 7864 SPARSE_SMS_BOOL_OPS (SparseComplexMatrix, Complex, 0.0) |
7865 | |
7866 SPARSE_SSM_CMP_OPS (Complex, 0.0, real, SparseComplexMatrix, | |
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7867 0.0, real) |
5164 | 7868 SPARSE_SSM_BOOL_OPS (Complex, SparseComplexMatrix, 0.0) |
7869 | |
7870 SPARSE_SMSM_CMP_OPS (SparseComplexMatrix, 0.0, real, SparseComplexMatrix, | |
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7871 0.0, real) |
5164 | 7872 SPARSE_SMSM_BOOL_OPS (SparseComplexMatrix, SparseComplexMatrix, 0.0) |